eMLR - model fitting

workflowr

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Last updated: 2021-08-03

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

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Rmd	ee13efb	jens-daniel-mueller	2021-05-27	optional source of local params fully implemented
html	8c736a6	jens-daniel-mueller	2021-05-27	Build site.
Rmd	dc8e4e1	jens-daniel-mueller	2021-05-27	optional source of local params implemented
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Rmd	9ebedac	jens-daniel-mueller	2021-02-24	latitudinal residual plots
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Rmd	0ad30ba	jens-daniel-mueller	2021-01-07	removed GLODAP gamma filter, target variable mapped by eras+era
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Rmd	0895ad6	jens-daniel-mueller	2020-11-30	rebuild with all plot output
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Rmd	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit

---

1 Version ID

The results displayed on this site correspond to the Version_ID: v_XXX

2 Required data

Required are:

• cleaned and prepared GLODAPv2_2020 file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

3 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, oxygen, nitrate, silicate, phosphate

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

i_basin <- unique(GLODAP$basin)[1]
i_era   <- unique(GLODAP$era)[1]

# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
  filter(basin == i_basin, era == i_era,
         data_source == "obs")

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[3]
print(i_gamma_slab)

# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
  filter(gamma_slab == i_gamma_slab)

# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(paste(
  params_local$MLR_target,
  paste(params_local$MLR_predictors, collapse = " + "),
  sep = " ~ "
),
data = GLODAP_basin_era_slab)

# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)

# convert to tibble
lm_all <- as_tibble(lm_all)

# format model formula
lm_all <- lm_all %>% 
  select(n, predictors) %>% 
  mutate(model = str_replace_all(predictors, " ", " + "),
         model = paste(params_local$MLR_target, "~", model))

# remove helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

4 Apply predictor threshold

Select combinations with a total number of predictors in the range:

• Minimum: 2
  
• Maximum: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 112

5 Fit all models

Individual linear regression models were fitted for the chosen target variable:

• cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# prepare nested data frame
GLODAP %>%
  filter_all(any_vars(is.na(.)))

GLODAP_nested <- GLODAP %>% 
  # filter(gamma_slab %in% unique(GLODAP$gamma_slab)[c(5,6)]) %>%
  nest(data = !c(gamma_slab, era, basin, data_source))

# expand with model definitions
GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all#[1:3,]
)

# fit models and extract tidy model output
GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
  mutate(
    fit = map2(.x = data, .y = model, 
               ~ lm(as.formula(.y), data = .x)),
    tidied = map(fit, tidy),
    glanced = map(fit, glance),
    augmented = map(fit, augment),
    vif = map(fit, ols_vif_tol)
  )

6 Tidy models

# extract glanced model output (model diagnostics, such as AIC)
GLODAP_glanced <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, tidied, augmented, vif)) %>%
  unnest(glanced) %>% 
  rename(n_predictors = n)

# extract tidy model output (model coefficients)
GLODAP_tidy <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, glanced, augmented, vif)) %>%
  unnest(tidied)

# extract augmented model output (fitted values and residuals)
GLODAP_augmented <- GLODAP_nested_lm_fit %>% 
  select(-c(data, fit, tidied, glanced, vif)) %>% 
  unnest(augmented) 

# print(object.size(GLODAP_augmented), units = "MB")

# extract VIC from output
GLODAP_glanced_vif <- GLODAP_nested_lm_fit %>%
  select(-c(data, fit, tidied, augmented, glanced)) %>%
  unnest(vif)

# calculte max vif per model
GLODAP_glanced_vif_max <- GLODAP_glanced_vif %>% 
  group_by(data_source, era, basin, gamma_slab, model, n) %>% 
  summarise(vif_max = max(VIF)) %>% 
  ungroup()

# calculate RMSE from augmented output
GLODAP_glanced_rmse <- GLODAP_augmented %>%
  group_by(data_source, era, basin, gamma_slab, model) %>%
  summarise(rmse = sqrt(c(crossprod(.resid)) / length(.resid))) %>%
  ungroup()

# add RMSE and vif_max to glanced output
GLODAP_glanced <- full_join(GLODAP_glanced, GLODAP_glanced_rmse)
GLODAP_glanced <- full_join(GLODAP_glanced, GLODAP_glanced_vif_max)
rm(GLODAP_glanced_rmse)
rm(GLODAP_glanced_vif_max)


# extract input data
GLODAP_data <- GLODAP_nested_lm_fit %>%
  select(-c(fit, tidied, glanced, augmented, vif)) %>%
  unnest(data)

# append input data with augmented data
GLODAP_augmented <- bind_cols(
  GLODAP_data,
  GLODAP_augmented %>% select(.fitted, .resid)
)

rm(GLODAP, GLODAP_nested, GLODAP_nested_lm, GLODAP_nested_lm_fit, lm_all,
   GLODAP_data)

7 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

7.1 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

• 500

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

GLODAP_glanced_clean <- GLODAP_glanced %>% 
  filter(vif_max <= params_local$vif_max)

GLODAP_glanced_clean %>% 
  group_by(data_source, era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)

# A tibble: 0 x 5
# Groups:   data_source, era, basin, gamma_slab [0]
# … with 5 variables: data_source <chr>, era <chr>, basin <chr>,
#   gamma_slab <chr>, n <int>

7.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

• 10

The criterion used to select the best models was:

• rmse

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

# calculate RMSE sum for adjacent eras
lm_all <- GLODAP_glanced_clean  %>%
  select(data_source, basin, gamma_slab, model, era, AIC, BIC, rmse) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, model) %>% 
  mutate(rmse_sum = rmse + lag(rmse),
         aic_sum = AIC + lag(AIC),
         bic_sum = BIC + lag(BIC)
         ) %>% 
  ungroup() %>% 
  select(-c(era)) %>% 
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
} 

if (params_local$MLR_criterion == "bic") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = bic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
}

if (params_local$MLR_criterion == "rmse") {
  lm_best <- lm_all %>%
    group_by(data_source, basin, gamma_slab) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, model)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

data_source	basin	gamma_slab	model	AIC	BIC	rmse	rmse_sum	aic_sum	bic_sum
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + oxygen + nitrate	3111.0490	3135.7311	7.4574463	14.9979775	5661.2016	5709.3485
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	3112.7622	3141.5579	7.4550804	14.9798514	5663.3707	5719.5420
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	3106.7097	3135.5055	7.4053338	14.9357823	5657.8748	5714.0462
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate	3103.5374	3128.2195	7.3957365	14.8905039	5649.1974	5697.3442
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1280.6067	1305.3680	2.9281819	10.2332178	3632.1534	3683.7789
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3104.8691	3133.6648	7.3902710	14.8680084	5650.8502	5707.0216
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1298.9793	1323.7407	3.0360227	10.1129194	3628.7603	3680.3858
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3098.4975	3127.2933	7.3383660	14.8254401	5645.3995	5701.5709
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate	1311.4094	1332.6334	3.1234993	10.2125343	3640.3660	3684.6164
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1278.8621	1303.6235	2.9181434	9.9867024	3607.8344	3659.4599
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate	1304.1618	1325.3858	3.0792529	10.1874275	3634.9680	3679.2184
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1256.7458	1281.5071	2.7938245	9.8337931	3582.9378	3634.5632
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate	3101.7612	3126.4433	7.3812196	14.8640072	5646.2406	5694.3875
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1286.7377	1311.4990	2.9637359	10.2829670	3639.6161	3691.2416
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3102.9004	3131.6962	7.3741945	14.8396745	5647.6708	5703.8422
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1296.6863	1321.4477	3.0223497	10.1280561	3629.2543	3680.8798
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3096.3381	3125.1339	7.3208579	14.7966404	5642.1263	5698.2977
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate	1312.1684	1333.3924	3.1281695	10.2362532	3642.9658	3687.2162
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1285.1208	1309.8822	2.9543180	10.0108991	3612.9297	3664.5551
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3176.5164	3205.3121	7.9998299	15.9164710	5764.5907	5820.7620
mod	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + phosphate	4194.8366	4222.0393	5.0577090	10.1835663	8786.6910	8841.6142
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + phosphate	6915.3624	6945.0270	6.7503019	13.6419672	12875.6327	12934.0311
mod	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	4196.0251	4227.7616	5.0547271	10.1787045	8789.3293	8853.4064
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	6871.7907	6906.3993	6.6035962	13.4872699	12832.0004	12900.1318
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + phosphate	6913.3633	6938.0837	6.7503047	13.6900437	12883.9793	12932.6446
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + oxygen + silicate + phosphate	6870.0926	6899.7572	6.6045575	13.5252145	12837.8185	12896.2168
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	4090.1936	4121.9301	4.6805304	9.5518875	8607.6602	8671.7372
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	6764.8277	6799.4363	6.2716599	13.1065727	12712.4121	12780.5435
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + aou + oxygen + phosphate	6815.3235	6844.9880	6.4324303	13.3714525	12787.7560	12846.1544
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4153.8145	4185.5510	4.9020210	10.1551537	8784.4592	8848.5362
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6786.6757	6821.2843	6.3380764	13.2569112	12755.9339	12824.0653
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4114.2553	4145.9918	4.7630972	9.6106225	8624.3655	8688.4426
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6801.7200	6836.3286	6.3842183	13.4346166	12804.4322	12872.5636
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate	6842.9262	6872.5907	6.5186114	13.6048076	12852.6331	12911.0315
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6817.1381	6851.7467	6.4318555	13.5163465	12828.4176	12896.5490
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4136.4670	4168.2035	4.8406081	9.7458094	8664.3189	8728.3960
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate	4183.6140	4210.8167	5.0166264	10.0617140	8751.6443	8806.5675
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4185.5524	4217.2890	5.0164020	10.0608478	8755.3919	8819.4689
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + phosphate	4186.5422	4213.7450	5.0273136	10.0613281	8751.2767	8806.1999
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	4188.4972	4220.2337	5.0271489	10.0611426	8755.2254	8819.3025
mod	Atlantic	(26.5,26.75]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	4656.8955	4689.8606	4.1045467	7.9320185	8961.7117	9027.2650
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4722.0816	4755.0467	4.2709783	7.9332258	8958.3238	9023.8770
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4683.4675	4716.4327	4.1715922	7.8784303	8938.5166	9004.0698
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7732.5968	7768.0978	6.4058146	12.5134769	14306.8735	14376.8399
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4733.9254	4766.8906	4.3019344	7.9080106	8946.1478	9011.7010
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	7712.9534	7748.4544	6.3526276	12.4746030	14291.9865	14361.9529
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4703.6066	4736.5718	4.2231348	7.8023374	8904.2047	8969.7579
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7724.2953	7759.7964	6.3832833	12.4573041	14287.3487	14357.3151
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4744.4901	4777.4552	4.3297363	7.9053458	8943.5274	9009.0806
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7714.2376	7749.7386	6.3560912	12.4409427	14280.9110	14350.8775
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate	4681.8569	4710.1128	4.1725828	7.8973664	8942.4110	8998.5995
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate	7744.3534	7774.7829	6.4433275	12.5510579	14316.6528	14376.6240
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4661.9457	4694.9108	4.1172057	7.6919492	8860.6066	8926.1598
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7697.7811	7733.2821	6.3118489	12.4137812	14270.1505	14340.1170
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	7713.7918	7744.2212	6.3602855	12.4882739	14292.8197	14352.7909
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + phosphate	4702.1672	4730.4231	4.2245787	7.8080698	8902.6262	8958.8146
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + phosphate	7753.8963	7784.3258	6.4694789	12.5584891	14319.9581	14379.9293
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	4679.8928	4712.8579	4.1625090	7.6354743	8833.6669	8899.2201
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7712.1500	7747.6510	6.3504616	12.4392213	14280.1281	14350.0945
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	7724.9565	7755.3859	6.3904974	12.5099875	14301.1645	14361.1357
mod	Atlantic	(26.75,27]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	5805.3169	5841.2332	2.4536782	5.1775717	11164.8867	11235.8498
mod	Atlantic	(26.75,27]	cstar_tref ~ aou + oxygen + silicate + phosphate	6237.7685	6268.5539	2.9193730	5.8659274	11768.8302	11829.6557
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5948.7259	5984.6422	2.5985454	5.2478218	11246.9669	11317.9300
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	6088.4398	6119.2252	2.7501003	5.4365698	11415.4633	11476.2888
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7934.8392	7971.0031	5.1515650	11.6542116	15110.3768	15181.4854
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6038.0652	6073.9815	2.6930855	5.1289262	11150.8461	11221.8093
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	7887.6056	7923.7695	5.0584678	11.6354632	15087.8816	15158.9902
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7933.7653	7969.9292	5.1494294	11.5355727	15069.9636	15141.0721
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + phosphate	7933.1252	7964.1228	5.1521338	11.6186279	15094.5312	15155.4814
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6066.6026	6102.5189	2.7240031	5.2713720	11278.2337	11349.1968
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7871.2465	7907.4104	5.0266180	11.4709916	15027.1962	15098.3047
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate	7932.9291	7963.9267	5.1517437	11.6545731	15106.5279	15167.4780
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5767.5937	5803.5100	2.4169319	4.7759087	10809.5773	10880.5405
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7888.8673	7925.0312	5.0609326	11.5596817	15063.1003	15134.2088
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	6220.1843	6250.9696	2.8989111	5.4843224	11462.5457	11523.3713
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + phosphate	7932.8013	7963.7989	5.1514896	11.5435352	15069.0098	15129.9600
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	5803.8115	5839.7278	2.4522012	4.8435535	10875.8926	10946.8557
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7878.3619	7914.5258	5.0404463	11.4263664	15014.4841	15085.5927
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + silicate + phosphate	6241.6680	6272.4533	2.9239301	5.5349580	11505.7989	11566.6245
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + silicate + phosphate	7877.4121	7908.4097	5.0424906	11.5372155	15048.2972	15109.2474
obs	Atlantic	(27,27.25]	cstar_tref ~ aou + oxygen + nitrate + phosphate	11226.5940	11259.3466	6.1283953	12.2022982	20385.2975	20449.5963
obs	Atlantic	(27,27.25]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	11210.2814	11248.4928	6.0961385	12.1337719	20353.9874	20429.0027
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6303.3527	6340.0923	2.2652234	5.0332003	12317.3827	12389.9313
obs	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	11219.7773	11257.9886	6.1128438	12.1678771	20371.6503	20446.6656
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	6427.7659	6464.5055	2.3676954	5.0823456	12393.9012	12466.4498
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6562.6700	6599.4095	2.4840530	5.5781079	12850.8826	12923.4312
obs	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	11192.4861	11230.6974	6.0649554	12.0162765	20295.3279	20370.3432
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	6263.8751	6300.6146	2.2336441	4.7808965	12073.3093	12145.8580
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6571.3084	6608.0479	2.4916956	5.5720972	12848.6327	12921.1813
obs	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	11173.5885	11211.7999	6.0320156	11.9475548	20259.3156	20334.3309
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6263.6859	6300.4254	2.2334939	4.8498729	12139.0428	12211.5914
obs	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	11258.1539	11296.3653	6.1808243	12.2119057	20398.7784	20473.7937
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate	11191.2440	11223.9966	6.0662803	12.0786596	20321.0543	20385.3531
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate	6324.9832	6356.4742	2.2843393	4.8380801	12138.6808	12200.8653
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6319.2743	6356.0138	2.2780855	4.8182447	12121.8433	12194.3919
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	11173.0062	11211.2176	6.0310034	12.0041137	20286.2197	20361.2350
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + phosphate	11171.6113	11204.3639	6.0320551	12.0230171	20291.2940	20355.5928
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + silicate	6274.5747	6306.0657	2.2437546	4.8697326	12156.9477	12219.1322
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	6259.8458	6296.5854	2.2304459	4.7961660	12087.0653	12159.6139
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	11152.9504	11191.1618	5.9962462	11.9412290	20252.7682	20327.7835
mod	Atlantic	(27.25,27.5]	cstar_tref ~ aou + oxygen + nitrate + silicate	9700.2986	9733.1131	3.8359212	7.3792425	18515.8286	18581.0578
mod	Atlantic	(27.25,27.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	9676.9027	9715.1863	3.8082359	7.3472986	18490.4882	18566.5890
obs	Atlantic	(27.25,27.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	12886.8448	12926.0895	5.9397635	11.3228176	23175.3127	23252.4425
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate	9552.6060	9585.4205	3.6776867	7.1839002	18333.6047	18398.8339
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	9537.3500	9575.6336	3.6596302	7.0103686	18171.5812	18247.6820
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	12920.8195	12960.0642	5.9901505	11.3667486	23205.3129	23282.4427
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	12908.5490	12947.7937	5.9719033	11.2583810	23137.0574	23214.1873
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	9394.8251	9433.1087	3.5138433	6.6926862	17856.3201	17932.4209
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12989.8617	13029.1064	6.0938659	11.4054083	23234.0362	23311.1660
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	12909.1377	12948.3824	5.9727775	11.2385821	23124.6690	23201.7988
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	9318.4412	9356.7248	3.4381164	6.5463059	17706.2121	17782.3128
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12995.3684	13034.6131	6.1022150	11.3936560	23226.9849	23304.1148
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate	12933.1151	12966.7534	6.0114795	11.4225345	23236.7663	23302.8776
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate	9496.0078	9528.8223	3.6187936	6.8534348	18012.5773	18077.8065
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	9459.6042	9497.8878	3.5793707	6.8136588	17977.8155	18053.9163
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	12883.7050	12922.9497	5.9351285	11.2679711	23141.1347	23218.2645
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + phosphate	12941.4268	12975.0651	6.0239154	11.4412889	23248.9432	23315.0545
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + silicate	9437.2789	9470.0934	3.5586802	6.7149565	17873.4062	17938.6354
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	9363.6570	9401.9406	3.4827439	6.6378742	17800.5931	17876.6939
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	12889.4051	12928.6498	5.9435458	11.2583990	23135.6434	23212.7732
mod	Atlantic	(27.5,27.75]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	12592.3986	12632.6920	3.5728217	7.1399383	24757.5822	24837.9312
obs	Atlantic	(27.5,27.75]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	10223.5867	10261.3481	5.5767778	11.1839138	19980.8204	20056.0039
obs	Atlantic	(27.5,27.75]	cstar_tref ~ aou + oxygen + silicate + phosphate	10222.0898	10254.4567	5.5776401	11.1949502	19982.9433	20047.3863
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10255.5509	10293.3123	5.6318287	11.4007919	20100.9867	20176.1702
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	12385.8181	12426.1115	3.4182850	6.9719551	24533.9462	24614.2953
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + oxygen + phosphate	12634.4084	12668.9456	3.6066364	6.6879503	24136.4430	24205.3135
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	11703.0038	11743.2971	2.9534933	5.8627361	22947.5343	23027.8833
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	10221.7076	10259.4691	5.5735583	11.1904562	19984.3336	20059.5171
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	12101.9849	12136.5221	3.2181771	6.3342025	23654.6084	23723.4790
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + phosphate	12657.3427	12691.8799	3.6243845	7.1583925	24778.4150	24847.2856
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	12515.1448	12555.4382	3.5142292	7.1256515	24736.0745	24816.4235
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate	12802.4318	12836.9689	3.7387058	6.8821256	24394.5841	24463.4547
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	11867.2772	11907.5705	3.0591892	6.0302925	23206.8268	23287.1758
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	10227.0043	10264.7657	5.5826380	11.1980904	19988.8324	20064.0159
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12106.2532	12146.5465	3.2197399	6.3276653	23649.1223	23729.4713
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10234.7514	10272.5129	5.5959450	11.2226896	20002.8071	20077.9906
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10229.2544	10267.0158	5.5864997	11.1994552	19989.7038	20064.8873
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	10227.5641	10259.9310	5.5870314	11.2062888	19989.4921	20053.9351
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	10239.0299	10276.7914	5.6033077	11.2353056	20009.9786	20085.1621
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	10237.3107	10269.6776	5.6037911	11.2392608	20008.1697	20072.6127
mod	Atlantic	(27.75,27.85]	cstar_tref ~ aou + oxygen + nitrate + silicate	7045.2884	7077.3606	2.3427580	4.9819814	13704.6638	13768.1627
mod	Atlantic	(27.75,27.85]	cstar_tref ~ aou + oxygen + phosphate	7482.0934	7508.8203	2.6992400	5.3395679	14140.6329	14193.5486
mod	Atlantic	(27.75,27.85]	cstar_tref ~ aou + oxygen + silicate + phosphate	6693.4711	6725.5433	2.0912588	4.4196400	13004.2302	13067.7290
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	9263.8332	9300.8795	5.6372985	11.0789071	17371.6676	17444.9048
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	6995.2426	7032.6602	2.3037289	4.9399347	13653.4355	13727.5175
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + oxygen + phosphate	7483.0479	7515.1200	2.6983292	5.3282352	14132.5845	14196.0833
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6550.9508	6588.3683	1.9959429	4.3066886	12842.5582	12916.6402
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	9237.9290	9274.9753	5.5878131	11.0298082	17345.9480	17419.1852
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	9262.8504	9294.6045	5.6392507	11.0812826	17368.8871	17431.6619
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	9242.1733	9279.2196	5.5958913	11.0593923	17360.4469	17433.6841
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + silicate + phosphate	9241.6762	9273.4302	5.5987545	11.0655356	17359.5103	17422.2850
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6848.8327	6886.2503	2.1973884	4.7736761	13443.0639	13517.1459
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	9238.3408	9275.3872	5.5885965	11.0298550	17346.0080	17419.2452
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6980.3840	7017.8016	2.2927062	4.9894970	13701.7888	13775.8708
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9237.8864	9274.9328	5.5877322	11.0380428	17349.8753	17423.1125
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	9292.4244	9329.4707	5.6924257	11.1697516	17417.2687	17490.5059
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	6984.7420	7016.8142	2.2974163	4.9203920	13626.9379	13690.4367
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	9284.5264	9321.5727	5.6771438	11.1505437	17407.5065	17480.7437
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + oxygen + silicate + phosphate	7091.7952	7123.8674	2.3781925	5.1194235	13856.6707	13920.1696
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + oxygen + silicate + phosphate	9284.0254	9315.7794	5.6800411	11.1535042	17405.0355	17467.8103
mod	Atlantic	(27.85,27.95]	cstar_tref ~ aou + oxygen + silicate + phosphate	6641.8491	6673.1096	2.8041952	6.1155970	12796.9453	12858.6148
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	13009.6377	13049.0032	5.7945975	11.7483990	25143.6704	25221.8536
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	6714.4802	6750.9507	2.8783529	6.3035254	12950.8924	13022.8401
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6553.4017	6589.8723	2.7120147	5.9274853	12641.4717	12713.4194
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	12711.9395	12751.3050	5.3880026	11.0946069	24685.5087	24763.6920
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate	6922.6499	6953.9104	3.1108197	6.4748367	13114.7604	13176.4299
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate	13021.7039	13055.4458	5.8145506	11.7721036	25156.1201	25223.1343
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	12896.8869	12936.2524	5.6371129	11.4743335	24956.0903	25034.2735
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + silicate + phosphate	12914.2421	12947.9839	5.6638397	11.5059246	24974.5975	25041.6117
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	6788.4889	6824.9595	2.9581619	6.4294920	13056.3314	13128.2792
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6643.4815	6679.9520	2.8038142	6.0714442	12769.3336	12841.2814
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12703.8869	12743.2524	5.3774100	11.0574592	24659.8065	24737.9897
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	12695.5491	12734.9146	5.3664643	11.0776511	24672.1557	24750.3390
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6823.4718	6859.9424	2.9966530	6.5009807	13113.5285	13185.4762
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6681.5440	6718.0146	2.8435313	6.1438800	12830.7897	12902.7375
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12703.7651	12743.1306	5.3772500	11.0590887	24660.8767	24739.0599
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate	12708.0465	12741.7884	5.3855106	11.0970294	24682.8731	24749.8872
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	6758.2006	6789.4610	2.9273985	6.3362599	12981.4046	13043.0741
obs	Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	13139.4081	13178.7736	5.9813075	12.0505107	25346.0837	25424.2669
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + silicate + phosphate	6793.4417	6824.7022	2.9657723	6.4121815	13042.3670	13104.0365
mod	Atlantic	(27.95,28.05]	cstar_tref ~ aou + oxygen + phosphate	7500.5752	7526.5997	3.9102180	8.6331830	14921.1853	14972.8522
mod	Atlantic	(27.95,28.05]	cstar_tref ~ aou + oxygen + silicate + phosphate	7437.4818	7468.7111	3.8168016	8.4440644	14809.0365	14871.0368
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14291.9546	14332.1666	5.3274158	12.2985890	29328.3822	29408.5782
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + oxygen + phosphate	7402.9859	7434.2152	3.7682043	8.4383285	14797.5356	14859.5360
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	7288.7457	7325.1799	3.6089566	8.2198036	14653.4368	14725.7705
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	14004.6441	14044.8561	5.0060688	11.8218901	28940.3316	29020.5276
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	14305.8137	14340.2811	5.3457426	12.3235175	29344.4724	29413.2118
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	14123.0219	14163.2339	5.1360531	12.0176053	29101.6108	29181.8068
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + oxygen + silicate + phosphate	14142.5926	14177.0600	5.1600998	12.0476983	29123.1073	29191.8467
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate	7435.2139	7466.4433	3.8135875	8.7583829	14972.2956	15034.2959
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	7302.8942	7339.3285	3.6279744	8.4429880	14775.6437	14847.9774
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	14040.3309	14080.5429	5.0449043	11.8922289	28996.6315	29076.8274
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	14087.4176	14127.6296	5.0966070	11.9726234	29062.4093	29142.6053
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	14547.0129	14587.2249	5.6299334	12.8021869	29710.5511	29790.7470
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + phosphate	7454.1063	7485.3357	3.8404454	8.8748944	15036.0014	15098.0018
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7311.8873	7348.3216	3.6401146	8.5290931	14822.6566	14894.9904
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	14033.2215	14073.4335	5.0371436	11.8780417	28985.3248	29065.5207
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate	14100.3815	14134.8489	5.1131486	11.9903547	29074.1466	29142.8860
mod	Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	7481.5012	7512.7306	3.8797269	8.6970175	14953.4298	15015.4301
mod	Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + silicate + phosphate	7499.0988	7530.3281	3.9051716	8.7957450	15008.6815	15070.6818
mod	Atlantic	(28.05,28.1]	cstar_tref ~ aou + oxygen + phosphate	3024.5264	3048.6374	1.2497711	2.7304045	6193.6229	6241.5878
mod	Atlantic	(28.05,28.1]	cstar_tref ~ aou + oxygen + silicate + phosphate	3019.9270	3048.8602	1.2452869	2.7002762	6160.5533	6218.1112
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	12244.8786	12284.1615	4.9804097	11.3055622	25019.0567	25097.3867
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + oxygen + phosphate	3021.5896	3050.5228	1.2464151	2.7071667	6169.1091	6226.6670
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3010.2735	3044.0289	1.2374078	2.6777172	6135.2146	6202.3655
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	12322.0997	12355.7708	5.0789368	11.4515444	25123.5036	25190.6435
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + nitrate + phosphate	12314.7123	12348.3834	5.0696673	11.4660145	25130.6549	25197.7948
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	12212.5533	12251.8362	4.9407580	11.2638807	24985.4765	25063.8064
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + silicate + phosphate	12281.3689	12315.0399	5.0280389	11.3886544	25075.4079	25142.5478
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	12324.5834	12363.8663	5.0795443	11.4596206	25132.5671	25210.8970
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate	3089.3695	3118.3027	1.2932891	2.7686755	6254.2747	6311.8326
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3067.2943	3101.0497	1.2764411	2.7368915	6216.4542	6283.6051
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12322.6376	12361.9205	5.0771008	11.4462816	25123.9383	25202.2682
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	12254.5002	12293.7831	4.9922733	11.2960254	25015.4269	25093.7568
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + phosphate	3116.9802	3145.9133	1.3128852	2.7963753	6291.4383	6348.9962
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + phosphate	12311.1403	12344.8114	5.0651914	11.3909103	25083.6686	25150.8086
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3091.7071	3125.4624	1.2935269	2.7644705	6253.3526	6320.5035
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12262.7860	12302.0689	5.0025126	11.2998163	25019.7110	25098.0409
mod	Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + phosphate	3098.9370	3123.0480	1.3014630	2.8010523	6290.2194	6338.1843
mod	Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	3089.1734	3118.1065	1.2931509	2.7739477	6260.4622	6318.0201
mod	Atlantic	(28.1,28.15]	cstar_tref ~ aou + oxygen + phosphate	3386.4023	3411.9680	0.9567799	2.2772499	7832.1676	7883.6107
mod	Atlantic	(28.1,28.15]	cstar_tref ~ aou + oxygen + silicate + phosphate	3385.8266	3416.5054	0.9557770	2.2168548	7713.2929	7775.0247
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + oxygen + phosphate	3373.6262	3404.3051	0.9510409	2.2713858	7821.1438	7882.8756
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3372.3704	3408.1624	0.9497810	2.2043019	7688.2100	7760.2304
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate	3439.3916	3470.0705	0.9768514	2.3029513	7898.2782	7960.0100
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3441.0939	3476.8859	0.9767330	2.2421440	7779.5269	7851.5473
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	11045.8730	11084.3534	5.1570864	13.9190410	23349.8332	23426.4315
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	10999.7066	11038.1871	5.0914829	13.7949342	23280.7282	23357.3266
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + phosphate	11013.6134	11046.5966	5.1139920	13.8355934	23299.7679	23365.4236
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3470.3947	3506.1867	0.9884554	2.2575219	7816.3681	7888.3885
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10978.5121	11016.9926	5.0616452	13.7765996	23264.0562	23340.6545
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	11021.8677	11060.3482	5.1228695	13.8522699	23313.0827	23389.6811
mod	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + phosphate	3468.0921	3493.6578	0.9891388	2.3162456	7926.9626	7978.4058
mod	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	3470.0530	3500.7318	0.9891231	2.2650383	7828.0953	7889.8270
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate	11045.9878	11078.9711	5.1601119	13.9236559	23348.5691	23414.2249
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + nitrate + phosphate	11021.0628	11054.0460	5.1245676	13.8281514	23300.1365	23365.7923
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	10959.8107	10998.2912	5.0354625	13.7247255	23235.2460	23311.8444
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + phosphate	11032.2966	11059.7826	5.1434090	13.8650202	23316.4550	23371.1681
mod	Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + silicate + phosphate	3502.5796	3533.2584	1.0023099	2.2825553	7869.4783	7931.2101
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + silicate + phosphate	10984.5484	11017.5317	5.0729381	13.7880313	23268.1470	23333.8028
mod	Atlantic	(28.15,28.2]	cstar_tref ~ aou + oxygen + nitrate + phosphate	4867.5159	4901.2166	0.7991747	1.6068444	9925.0546	9992.6334
mod	Atlantic	(28.15,28.2]	cstar_tref ~ aou + oxygen + nitrate + silicate	4835.5673	4869.2680	0.7929167	1.6130899	9957.4123	10024.9911
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + oxygen + nitrate	5021.5867	5055.2873	0.8300539	1.6688123	10237.2282	10304.8070
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	4834.3659	4873.6833	0.7922923	1.6085455	9938.1563	10016.9982
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4886.8215	4919.7951	4.7052317	11.7360592	10756.5657	10822.9108
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	4948.6588	4987.9762	0.8148904	1.6484094	10140.0697	10218.9116
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + phosphate	4885.7378	4914.0010	4.7078584	11.7408050	10754.0058	10810.8730
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4799.0334	4832.0071	4.4602773	11.4410158	10656.3515	10722.6966
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	4893.0422	4926.0159	4.7230914	11.6792706	10744.2350	10810.5800
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5006.3357	5045.6532	0.8265379	1.6736642	10265.5320	10344.3739
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + phosphate	4891.2246	4919.4878	4.7236162	11.6853816	10741.8125	10798.6797
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4790.0674	4823.0411	4.4359886	11.3342567	10626.7305	10693.0756
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + phosphate	4988.0576	5021.7582	0.8232339	1.6518853	10152.9517	10220.5305
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	4946.6826	4980.3833	0.8148952	1.6554723	10171.3910	10238.9698
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4792.3246	4825.2983	4.4420909	11.6393989	10702.7427	10769.0878
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + silicate + phosphate	4801.1512	4829.4143	4.4714767	11.6724678	10710.4584	10767.3256
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + nitrate + phosphate	5046.3888	5080.0894	0.8351351	1.6776997	10280.9831	10348.5619
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + nitrate + silicate	5004.3361	5038.0367	0.8265380	1.6814543	10299.8501	10367.4289
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	4786.5317	4819.5053	4.4264468	11.5411682	10676.8915	10743.2365
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + silicate + phosphate	4793.9581	4822.2213	4.4519315	11.5723594	10683.7114	10740.5786
mod	Atlantic	(28.2, Inf]	cstar_tref ~ aou + oxygen + nitrate + silicate	4269.4715	4303.7622	0.6253412	1.3381251	8045.4512	8112.5187
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	3980.1771	4008.7527	0.5865315	1.1664266	7035.2988	7091.1883
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate	3945.9364	3980.2272	0.5818102	1.1603161	6994.7027	7061.7702
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3867.4832	3899.2501	3.9329882	7.9561084	8238.5274	8302.8644
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + oxygen + nitrate	3795.1026	3829.3934	0.5625646	1.1283420	6766.3562	6833.4237
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	3872.2179	3903.9849	3.9464859	7.9910162	8251.4891	8315.8261
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	3710.7161	3750.7220	0.5518303	1.1163969	6676.5060	6754.7514
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + oxygen + phosphate	3870.9498	3898.1786	3.9485763	7.9973219	8249.8355	8304.9815
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3862.9644	3894.7314	3.9201495	7.9402034	8232.8269	8297.1639
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	3868.2560	3895.4848	3.9408873	7.9641418	8237.3520	8292.4980
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate	3806.3972	3840.6880	0.5639834	1.1306109	6782.8817	6849.9492
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3873.8980	3905.6650	3.9512864	7.9902342	8251.0283	8315.3653
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate	3727.0358	3767.0416	0.5538423	1.1192714	6698.1439	6776.3893
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + phosphate	3872.3017	3899.5306	3.9524409	7.9960215	8249.2089	8304.3549
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3862.4080	3894.1750	3.9185715	7.9302058	8229.0207	8293.3578
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate	3836.3826	3870.6733	0.5677675	1.1389548	6840.7912	6907.8587
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3894.0175	3925.7845	4.0092310	8.0157542	8258.6542	8322.9912
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3763.4036	3803.4094	0.5583526	1.1275611	6757.7223	6835.9677
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3872.1163	3903.8832	3.9461955	7.9133167	8221.4340	8285.7711
mod	Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	4320.3836	4354.6743	0.6324819	1.3502049	8120.4216	8187.4891
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1593.9744	1620.2646	2.9476874	5.6336569	3480.6050	3534.6403
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1836.9991	1863.2671	4.3697718	9.9796764	4510.3766	4564.9762
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1601.4049	1623.9394	2.9920020	5.7151706	3496.7365	3543.0525
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1844.2888	1866.8042	4.4346841	10.1282051	4528.1830	4574.9827
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1397.4054	1423.6956	2.1597536	4.6606393	3228.4894	3282.5246
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1817.0510	1843.3190	4.2335769	9.6238868	4456.6471	4511.2467
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1590.7747	1617.0649	2.9328017	5.5677413	3462.4822	3516.5174
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1837.6561	1863.9241	4.3743314	9.9733404	4509.3889	4563.9885
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + phosphate	1597.4562	1619.9907	2.9733663	5.6435266	3477.4942	3523.8101
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + phosphate	1846.0683	1868.5838	4.4472282	10.1277036	4528.0219	4574.8215
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1399.9950	1426.2852	2.1686212	4.6210348	3215.8518	3269.8870
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1820.8481	1847.1161	4.2591700	9.6475780	4460.1456	4514.7452
mod	Indian	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1714.2623	1740.5525	3.5656626	6.6422435	3706.5276	3760.5628
obs	Indian	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1855.2558	1881.5238	4.4982561	9.9086310	4497.9952	4552.5948
mod	Indian	(-Inf,26]	cstar_tref ~ temp + aou + silicate + phosphate	1726.5160	1749.0505	3.6469941	6.7336940	3719.3360	3765.6519
obs	Indian	(-Inf,26]	cstar_tref ~ temp + aou + silicate + phosphate	1856.0006	1878.5160	4.5178964	9.9624908	4502.0738	4548.8735
mod	Indian	(-Inf,26]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1692.7713	1719.0615	3.4464518	6.4014998	3653.6801	3707.7154
obs	Indian	(-Inf,26]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1852.4471	1878.7151	4.4782459	9.8631412	4491.1929	4545.7925
mod	Indian	(-Inf,26]	cstar_tref ~ temp + oxygen + silicate + phosphate	1701.9260	1724.4605	3.5078210	6.4717805	3663.1775	3709.4934
obs	Indian	(-Inf,26]	cstar_tref ~ temp + oxygen + silicate + phosphate	1853.6068	1876.1223	4.5007628	9.9239953	4496.3543	4543.1540
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1421.6621	1447.7043	2.4319763	5.3552005	3423.9794	3477.9443
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1713.4746	1739.9398	3.3324491	12.4037227	5525.4803	5581.7759
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate	1483.5415	1505.8634	2.7004666	5.6744362	3497.5928	3543.8484
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate	1738.8785	1761.5630	3.4764006	12.7251005	5569.1843	5617.4377
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1001.7701	1027.8123	1.2218386	3.1742280	2681.9882	2735.9531
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1740.2080	1766.6732	3.4728053	12.6893458	5568.8633	5625.1590
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1411.9592	1438.0014	2.3935984	5.2997165	3409.5931	3463.5580
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1711.6952	1738.1604	3.3233105	12.3842846	5522.5103	5578.8059
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + phosphate	1474.1083	1496.4302	2.6590271	5.6115866	3482.3938	3528.6495
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + phosphate	1739.0746	1761.7591	3.4774528	12.7150118	5568.1172	5616.3706
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1001.5466	1027.5888	1.2213910	3.1711698	2680.6969	2734.6618
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1740.8335	1767.2987	3.4761592	12.6856742	5568.6897	5624.9853
obs	Indian	(26,26.5]	cstar_tref ~ temp + aou + nitrate + phosphate	1770.8203	1793.5047	3.6520559	12.7588881	5584.9260	5633.1794
mod	Indian	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1005.9256	1031.9678	1.2301905	3.2420267	2710.0787	2764.0437
obs	Indian	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1698.6587	1725.1239	3.2571204	12.2712929	5504.0467	5560.3423
mod	Indian	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	1021.3706	1043.6925	1.2658798	3.3613612	2756.0306	2802.2863
obs	Indian	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + phosphate	1758.8576	1781.5421	3.5852544	12.6729986	5570.7644	5619.0178
mod	Indian	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	994.0713	1020.1134	1.2065145	3.2052108	2692.9953	2746.9602
obs	Indian	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1700.0331	1726.4983	3.2640359	12.2752112	5505.0726	5561.3682
mod	Indian	(26,26.5]	cstar_tref ~ temp + oxygen + silicate + phosphate	1011.3597	1033.6816	1.2452746	3.3198540	2738.0199	2784.2755
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1074.3583	1099.4952	1.7495206	3.8261764	2808.1161	2861.1933
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	1072.7924	1094.3383	1.7509381	3.8441632	2810.9080	2856.4027
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1042.6726	1067.8095	1.6490952	3.8478029	2822.1192	2875.1964
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2182.9921	2210.8088	3.8213106	7.8587726	6058.5614	6118.0942
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate	2198.1062	2221.9491	3.9054269	7.9430787	6071.7399	6122.7681
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	797.0931	822.2300	1.0429530	2.5449849	2271.6990	2324.7762
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2188.6277	2216.4444	3.8488077	7.8834951	6063.2537	6122.7865
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1038.2205	1063.3574	1.6354542	3.8198264	2812.4341	2865.5112
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2183.0426	2210.8593	3.8215559	7.8492593	6055.2916	6114.8244
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + phosphate	2198.4040	2222.2469	3.9069070	7.9346123	6068.6537	6119.6819
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	798.7235	823.8604	1.0461302	2.5405527	2269.2662	2322.3433
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2187.8688	2215.6855	3.8450934	7.8688712	6058.7800	6118.3128
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate	2230.8868	2254.7296	4.0717490	8.1892610	6131.3922	6182.4203
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	725.3171	750.4540	0.9122380	2.4010357	2192.8430	2245.9202
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2163.5217	2191.3384	3.7278137	7.8320890	6061.6094	6121.1422
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	797.8422	819.3882	1.0483160	2.5993990	2296.1558	2341.6505
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + phosphate	2225.2886	2249.1314	4.0428514	8.1382062	6118.3910	6169.4191
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	723.8126	748.9495	0.9096810	2.3870341	2185.1650	2238.2422
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2155.6441	2183.4607	3.6906385	7.7716785	6045.9425	6105.4753
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	797.5474	819.0933	1.0477395	2.5840452	2288.2027	2333.6975
mod	Indian	(26.75,27]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1248.0619	1275.0072	1.4322529	2.9900998	3269.5601	3326.5334
mod	Indian	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	1248.3680	1271.4640	1.4370201	3.0139191	3280.9699	3329.8042
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1270.1881	1297.1333	1.4786518	3.0543735	3303.9848	3360.9581
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3519.1538	3549.8501	4.6483071	8.8877096	9334.3229	9399.4640
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate	3517.2462	3543.5573	4.6486693	8.8888422	9330.7834	9386.6186
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1162.2163	1189.1616	1.2656069	2.5339137	2962.0540	3019.0273
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3516.7007	3547.3971	4.6387028	8.8459631	9316.4506	9381.5917
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1268.6334	1295.5787	1.4753431	3.0462991	3299.1649	3356.1382
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3518.8590	3549.5554	4.6471521	8.8828126	9332.2391	9397.3802
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + oxygen + phosphate	3517.0561	3543.3673	4.6479244	8.8840738	9328.6700	9384.5052
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1163.3037	1190.2490	1.2675916	2.5318511	2959.6960	3016.6693
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3516.1984	3546.8947	4.6367385	8.8368311	9312.4938	9377.6349
mod	Indian	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1094.5305	1121.4758	1.1480006	2.4951978	2959.4186	3016.3919
obs	Indian	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3516.3822	3547.0786	4.6374571	8.8491505	9318.2657	9383.4068
mod	Indian	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	1160.9603	1184.0563	1.2669645	2.7164677	3102.7522	3151.5864
obs	Indian	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	3514.7460	3541.0572	4.6388801	8.8521559	9315.3907	9371.2259
mod	Indian	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1096.7196	1123.6649	1.1516275	2.4896782	2954.2639	3011.2372
obs	Indian	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3515.7256	3546.4220	4.6348905	8.8403273	9314.5972	9379.7383
mod	Indian	(26.75,27]	cstar_tref ~ temp + oxygen + silicate + phosphate	1161.5237	1184.6196	1.2679934	2.7072252	3095.6495	3144.4837
obs	Indian	(26.75,27]	cstar_tref ~ temp + oxygen + silicate + phosphate	3514.1984	3540.5096	4.6367385	8.8433684	9311.6448	9367.4799
mod	Indian	(27,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate	2002.0390	2026.4772	2.3958381	4.6225032	5636.1708	5688.8356
obs	Indian	(27,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate	2597.0498	2621.9278	3.8527253	8.5220402	7155.5344	7208.2751
mod	Indian	(27,27.25]	cstar_tref ~ sal + aou + nitrate + phosphate	1988.6547	2013.0930	2.3591784	4.6103382	5640.6415	5693.3063
mod	Indian	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1987.8123	2016.3237	2.3514657	4.5758831	5622.2960	5683.7382
obs	Indian	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2559.6883	2588.7126	3.6937336	8.3502288	7115.9499	7177.4807
obs	Indian	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	2559.6583	2584.5363	3.7015328	8.4594320	7147.0102	7199.7509
obs	Indian	(27,27.25]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	2563.3435	2592.3678	3.7082176	8.3908651	7128.2077	7189.7385
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2557.0658	2586.0901	3.6833768	8.4222511	7140.2636	7201.7944
mod	Indian	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2048.7919	2077.3032	2.5226040	4.5427239	5526.0515	5587.4937
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate	2555.1925	2580.0704	3.6838765	8.5158255	7166.2659	7219.0066
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2552.2759	2581.3002	3.6645357	8.4215398	7141.3389	7202.8697
mod	Indian	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1991.0955	2019.6068	2.3603768	4.5810556	5622.8339	5684.2761
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	2565.8308	2594.8551	3.7181060	8.4980729	7162.2905	7223.8213
mod	Indian	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2049.3551	2077.8664	2.5242413	4.5422111	5524.8768	5586.3190
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2562.5899	2591.6143	3.7052269	8.4983758	7163.2797	7224.8105
mod	Indian	(27,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate	1993.9894	2018.4277	2.3737225	4.5044992	5556.2832	5608.9479
mod	Indian	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1962.6558	1991.1672	2.2842932	4.2466287	5392.5524	5453.9946
obs	Indian	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2598.8135	2627.8378	3.8517506	8.5209520	7159.2608	7220.7916
mod	Indian	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + phosphate	1990.1905	2014.6288	2.3633564	4.4922525	5551.0433	5603.7081
mod	Indian	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1957.9549	1986.4662	2.2719553	4.2277565	5382.4081	5443.8503
obs	Indian	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate	3306.0157	3332.2862	3.9643409	8.1680164	8913.6153	8969.2112
obs	Indian	(27.25,27.5]	cstar_tref ~ oxygen + nitrate + silicate + phosphate	3302.4255	3328.6961	3.9522773	8.2263880	8942.5941	8998.1900
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3307.7660	3338.4150	3.9635008	8.1400802	8904.6910	8969.5528
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3303.3726	3334.0216	3.9487464	8.1668637	8919.6944	8984.5562
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate	1987.4361	2012.4788	1.8942204	3.6665269	5368.5808	5422.0667
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1987.6584	2016.8749	1.8907161	3.6616331	5369.4761	5431.8763
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3304.3424	3334.9913	3.9519984	8.1424996	8907.7898	8972.6516
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + phosphate	1998.0816	2023.1243	1.9153425	3.6864188	5378.0516	5431.5374
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate	1994.6638	2019.7065	1.9085357	3.6828652	5377.7389	5431.2247
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1993.8206	2023.0371	1.9028915	3.6734256	5375.2725	5437.6726
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3295.8789	3326.5278	3.9237065	8.1658355	8923.3263	8988.1882
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate	1987.1065	2012.1492	1.8935703	3.6665394	5368.8838	5422.3696
mod	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1987.4791	2016.6956	1.8903630	3.6617277	5369.7246	5432.1247
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3307.9647	3338.6137	3.9641695	8.1966936	8930.9694	8995.8312
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate	1993.3493	2018.3920	1.9059241	3.6799182	5376.1045	5429.5903
obs	Indian	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3296.4622	3327.1112	3.9256501	8.1109135	8897.4583	8962.3201
obs	Indian	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate	3318.5266	3344.7972	4.0066686	8.2450524	8942.2429	8997.8388
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate	1996.0562	2021.0989	1.9113058	3.6862343	5379.7024	5433.1882
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + phosphate	1993.6901	2018.7328	1.9066008	3.6798345	5375.7198	5429.2057
obs	Indian	(27.25,27.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3297.4811	3328.1300	3.9290467	8.1692314	8924.0300	8988.8918
mod	Indian	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate	2595.4920	2622.2043	1.8561709	3.4307053	6682.9184	6739.5833
obs	Indian	(27.5,27.75]	cstar_tref ~ aou + nitrate + silicate + phosphate	3707.2389	3734.3094	3.7674932	7.8301757	9095.6494	9151.8776
mod	Indian	(27.5,27.75]	cstar_tref ~ oxygen + nitrate + silicate + phosphate	2575.9781	2602.6904	1.8278241	3.3884432	6644.0881	6700.7530
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3695.9607	3727.5429	3.7305097	7.7181724	9050.8468	9116.4463
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate	2609.3223	2636.0346	1.8765273	3.4085420	6637.1786	6693.8435
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate	3694.8342	3721.9047	3.7329317	7.7720547	9072.1597	9128.3879
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + phosphate	2573.8077	2600.5200	1.8246981	3.4221572	6692.6875	6749.3524
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	2559.8755	2591.0398	1.8019145	3.3339285	6589.7308	6655.8399
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	3696.8290	3728.4112	3.7329171	7.7605469	9070.7232	9136.3227
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3703.9523	3735.5345	3.7527248	7.7334820	9055.5349	9121.1344
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + phosphate	2491.9374	2518.6497	1.7106067	3.2752913	6565.7087	6622.3735
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2488.5873	2519.7517	1.7034043	3.2206820	6497.4106	6563.5197
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3696.0684	3727.6506	3.7308082	7.7526653	9067.2288	9132.8283
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3707.4932	3739.0754	3.7626100	7.7602327	9067.1339	9132.7335
obs	Indian	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3704.0790	3735.6612	3.7530780	7.7221097	9050.0391	9115.6386
obs	Indian	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	3707.5794	3734.6498	3.7684462	7.8150597	9088.4362	9144.6643
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + phosphate	2557.7707	2580.0310	1.8046097	3.3701312	6630.7054	6677.9261
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate	2534.3742	2561.0864	1.7688251	3.2959276	6555.2423	6611.9071
obs	Indian	(27.5,27.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3709.2328	3740.8150	3.7674760	7.7690771	9070.7694	9136.3689
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	2524.2975	2551.0098	1.7548242	3.4487669	6770.7877	6827.4526
mod	Indian	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate	1870.8488	1891.4062	1.9042472	3.7304090	4670.0426	4713.2834
obs	Indian	(27.75,27.85]	cstar_tref ~ aou + nitrate + silicate + phosphate	2675.0866	2700.3381	3.5262078	7.7179631	7107.7766	7160.9454
mod	Indian	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate	1566.4202	1586.9775	1.3587738	2.8499010	4085.9099	4129.1507
mod	Indian	(27.75,27.85]	cstar_tref ~ nitrate + phosphate	1889.4143	1905.8602	1.9481626	3.1932642	4158.0692	4192.6618
mod	Indian	(27.75,27.85]	cstar_tref ~ nitrate + silicate + phosphate	1872.2711	1892.8284	1.9072521	3.0554335	4031.0936	4074.3344
mod	Indian	(27.75,27.85]	cstar_tref ~ oxygen + nitrate + silicate	1858.7186	1879.2759	1.8788100	3.7293377	4676.2035	4719.4443
mod	Indian	(27.75,27.85]	cstar_tref ~ oxygen + silicate + phosphate	1596.0415	1616.5989	1.4041363	2.9525220	4167.5305	4210.7713
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2676.7228	2706.1829	3.5249174	7.7150564	7110.8150	7172.8452
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + silicate + phosphate	1689.7017	1710.2591	1.5577750	3.2861689	4412.9627	4456.2035
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2677.6225	2707.0827	3.5281096	7.7541281	7124.9307	7186.9609
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2633.7847	2663.2449	3.3758927	7.5604516	7065.8115	7127.8416
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate	1859.1720	1883.8408	1.8755912	3.8047022	4736.0489	4787.9379
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2667.4739	2696.9341	3.4922713	7.7399820	7122.7179	7184.7481
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2631.0136	2660.4737	3.3664942	7.5387147	7058.4633	7120.4935
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate	1683.6542	1708.3230	1.5439385	3.2397722	4382.6702	4434.5591
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2616.2863	2645.7465	3.3169834	7.3975906	7009.3220	7071.3522
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	2632.3099	2657.5614	3.3776767	7.5623286	7062.3710	7115.5398
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	2618.8931	2648.3533	3.3256938	7.4079462	7012.5537	7074.5838
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + oxygen + silicate + phosphate	2629.0136	2654.2651	3.3664942	7.5387326	7054.4699	7107.6387
mod	Indian	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate	1686.0806	1706.6379	1.5515337	3.2479593	4383.5781	4426.8189
mod	Indian	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate	2025.6646	2046.7076	1.8383953	3.8608164	5305.4448	5349.7197
mod	Indian	(27.85,27.95]	cstar_tref ~ oxygen + silicate + phosphate	2038.3181	2059.3610	1.8619474	3.9241951	5348.1301	5392.4050
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate	1924.7343	1949.9859	1.6575514	3.1698653	4758.9066	4812.0365
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + oxygen + nitrate + silicate	2170.8073	2196.0589	2.1231479	3.9652354	5308.7578	5361.8877
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + oxygen + silicate + phosphate	1839.9332	1865.1848	1.5220049	2.8337652	4455.0083	4508.1382
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3705.8514	3737.9739	3.0653491	6.7399388	9253.1043	9319.6991
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate	3722.6489	3750.1824	3.1052356	6.8530300	9308.0246	9365.1058
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1840.6056	1870.0657	1.5199734	2.8434374	4471.3598	4533.3447
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3704.0846	3736.2071	3.0616266	6.7158055	9240.0081	9306.6028
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3722.5465	3754.6690	3.1007488	6.7926962	9279.3848	9345.9796
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2168.7275	2198.1877	2.1144514	3.9488498	5302.2364	5364.2213
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + phosphate	3735.6691	3763.2027	3.1331672	6.8895723	9325.7127	9382.7939
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1840.7743	1870.2344	1.5202314	2.8318582	4457.6927	4519.6775
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3706.8090	3738.9315	3.0673686	6.7169382	9240.1652	9306.7599
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3695.4849	3727.6074	3.0435720	6.6539175	9206.8621	9273.4569
mod	Indian	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	2027.3095	2052.5610	1.8377386	3.8487539	5300.3800	5353.5098
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	3702.6735	3730.2071	3.0628669	6.7170745	9236.6129	9293.6941
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3704.3243	3736.4468	3.0621313	6.6788037	9219.2629	9285.8576
mod	Indian	(27.85,27.95]	cstar_tref ~ temp + oxygen + silicate + phosphate	2029.1330	2054.3845	1.8411130	3.8503747	5300.8600	5353.9899
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + oxygen + silicate + phosphate	3707.1014	3734.6350	3.0722085	6.7221710	9238.6765	9295.7578
obs	Indian	(27.95,28.05]	cstar_tref ~ aou + oxygen + phosphate	4856.4871	4880.9503	2.8326345	6.1305927	11736.6838	11787.0549
obs	Indian	(27.95,28.05]	cstar_tref ~ sal + aou + oxygen + phosphate	4851.1513	4880.5071	2.8221060	6.1170156	11730.9156	11791.3610
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate	2144.0957	2169.4549	1.9894842	3.7660800	5381.8013	5435.3354
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + oxygen + nitrate + silicate	2237.7274	2263.0866	2.1823381	3.8991618	5420.0599	5473.5939
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + oxygen + phosphate	2203.6677	2224.8004	2.1142863	3.8900232	5438.5910	5483.2026
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + oxygen + silicate + phosphate	2070.1112	2095.4705	1.8492280	3.3762479	5062.8824	5116.4164
obs	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4874.7169	4908.9653	2.8531694	6.1926695	11791.8348	11862.3544
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	2244.3733	2273.9590	2.1923798	3.9039564	5423.7532	5486.2095
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate	2210.1595	2235.5187	2.1236915	3.9078780	5454.7635	5508.2975
obs	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate	4887.1114	4916.4673	2.8740935	6.2271009	11812.8454	11873.2908
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2073.8750	2103.4607	1.8524536	3.3303175	5015.7046	5078.1610
obs	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4882.5586	4916.8070	2.8645492	6.1869248	11786.1555	11856.6751
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2238.2165	2267.8023	2.1790824	3.8748154	5402.5493	5465.0057
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + phosphate	2205.2612	2230.6204	2.1134371	3.8846995	5438.1022	5491.6362
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2069.9714	2099.5571	1.8453219	3.3134624	5001.1205	5063.5768
obs	Indian	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate	4879.7920	4909.1478	2.8634347	6.2261145	11813.1018	11873.5472
obs	Indian	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4880.3831	4914.6316	2.8613876	6.1768007	11778.4627	11848.9823
obs	Indian	(27.95,28.05]	cstar_tref ~ temp + aou + phosphate	4885.2087	4909.6720	2.8742355	6.2408276	11819.5767	11869.9479
obs	Indian	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate	4883.4169	4912.7727	2.8687084	6.1915985	11785.4210	11845.8664
obs	Indian	(27.95,28.05]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	4907.7472	4941.9957	2.9014108	6.2531145	11834.4584	11904.9781
obs	Indian	(28.05,28.1]	cstar_tref ~ aou + oxygen + phosphate	3956.7173	3980.0775	2.9416887	5.8304220	8901.4330	8949.3068
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3995.2139	4027.9181	3.0066217	5.9845667	9004.4561	9071.4796
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate	1253.9081	1276.7570	1.5617210	3.2792308	3464.8195	3513.6466
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3941.4312	3974.1355	2.9059996	5.9238255	8977.1469	9044.1703
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1255.1071	1281.7641	1.5598438	3.2673544	3461.4671	3518.4322
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate	1246.5043	1269.3531	1.5444556	3.2999195	3481.9399	3530.7671
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate	3953.9278	3981.9600	2.9327851	5.9573535	8992.0846	9049.5333
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate	1253.2071	1276.0560	1.5600780	3.2677643	3457.6826	3506.5097
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1234.7925	1261.4495	1.5129831	3.1570657	3398.6803	3455.6454
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3952.7906	3985.4949	2.9269676	5.8479980	8923.6318	8990.6553
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + nitrate	1252.8920	1275.7408	1.5593399	3.2768689	3463.8158	3512.6429
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1254.2023	1280.8593	1.5577261	3.2643992	3460.0119	3516.9769
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + phosphate	1245.4308	1268.2797	1.5419683	3.2965273	3480.2879	3529.1151
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate	1252.2573	1275.1062	1.5578547	3.2645890	3456.1071	3504.9343
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1233.4944	1260.1514	1.5100371	3.1517452	3395.7606	3452.7257
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3980.1726	4012.8769	2.9781351	5.9506951	8985.8131	9052.8366
obs	Indian	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + phosphate	3970.2883	3998.3205	2.9633110	5.9841955	9006.0198	9063.4685
obs	Indian	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3967.2964	4000.0006	2.9539633	5.8949971	8951.7187	9018.7421
obs	Indian	(28.05,28.1]	cstar_tref ~ temp + aou + phosphate	3972.2301	3995.5903	2.9707132	6.0012016	9012.2781	9060.1520
obs	Indian	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate	3972.2292	4000.2614	2.9669535	5.9080742	8954.7104	9012.1591
obs	Indian	(28.1,28.2]	cstar_tref ~ aou + oxygen + silicate + phosphate	4885.1474	4914.6833	2.6687940	5.5813801	11579.8615	11640.6133
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4889.0041	4923.4626	2.6712360	5.5072025	11514.1132	11584.9903
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	4845.4480	4879.9065	2.6145319	5.4583802	11478.0116	11548.8888
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + aou + oxygen + phosphate	4851.2688	4880.8047	2.6246242	5.4686140	11481.9662	11542.7180
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	4890.1252	4919.6611	2.6753463	5.5115114	11513.4225	11574.1743
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate	1994.8275	2021.9688	1.0375705	2.3347129	5452.3452	5509.0872
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4903.2804	4937.7389	2.6900882	5.5882951	11586.7011	11657.5782
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1990.1834	2021.8483	1.0325214	2.3254662	5443.0501	5509.2490
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4853.1289	4887.5874	2.6244433	5.4595395	11477.4135	11548.2907
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + phosphate	4901.4885	4931.0244	2.6903640	5.5937745	11587.7275	11648.4793
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4871.8008	4906.2593	2.6486942	5.4840460	11496.3276	11567.2047
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + nitrate	1993.1110	2015.7288	1.0377865	2.3445594	5463.8073	5511.0922
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + nitrate + phosphate	1772.7874	1799.9287	0.8814887	2.0672592	5046.0952	5102.8371
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + nitrate + silicate	1990.2993	2017.4407	1.0341267	2.3285910	5443.5761	5500.3180
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate	1994.9380	2022.0794	1.0376547	2.3343844	5451.8028	5508.5448
mod	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1990.5603	2022.2253	1.0328072	2.3255315	5443.0770	5509.2759
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4911.9857	4946.4442	2.7016489	5.5575688	11555.9269	11626.8040
mod	Indian	(28.1,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	2009.4704	2036.6118	1.0487857	2.3453399	5466.0575	5522.7994
mod	Indian	(28.1,28.2]	cstar_tref ~ temp + nitrate + phosphate	1827.9697	1850.5875	0.9192851	2.1233604	5130.7124	5177.9973
mod	Indian	(28.1,28.2]	cstar_tref ~ temp + oxygen + nitrate + silicate	2009.0188	2036.1602	1.0484380	2.3450066	5465.6287	5522.3707
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + aou + nitrate + phosphate	1713.3775	1743.9379	0.4904723	1.1059001	4589.3580	4651.9322
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + aou + nitrate + silicate	1644.6463	1675.2068	0.4766708	1.0768809	4443.8110	4506.3853
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + oxygen + nitrate + silicate	1750.4976	1781.0580	0.4980917	1.1158540	4638.0940	4700.6682
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1551.1844	1586.8382	0.4581435	1.0475327	4296.5327	4369.5360
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1836.0490	1864.6564	1.9185538	5.0092772	5074.9861	5134.7468
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1573.0482	1608.7020	0.4623222	1.0470080	4293.8153	4366.8186
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + oxygen + phosphate	1847.1087	1875.7162	1.9428182	5.0139079	5077.9780	5137.7387
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + phosphate	1845.5044	1870.0251	1.9436920	5.0351156	5082.7284	5133.9519
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1843.6987	1872.3061	1.9353041	5.0088017	5075.5601	5135.3208
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + nitrate + phosphate	1657.7628	1688.3232	0.4792743	1.0909377	4514.9200	4577.4943
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	1551.2476	1586.9015	0.4581555	1.0475423	4296.5838	4369.5870
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1574.5714	1610.2252	0.4626147	1.0473347	4295.5179	4368.5212
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1839.9474	1868.5548	1.9270719	5.0103172	5075.8177	5135.5784
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + phosphate	1839.6280	1864.1486	1.9307556	5.0271329	5078.8789	5130.1024
mod	Indian	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1700.8122	1736.4661	0.4875146	1.0798892	4461.6616	4534.6649
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1839.9466	1868.5541	1.9270702	5.0130890	5076.9552	5136.7159
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + aou + oxygen + nitrate + phosphate	1840.3265	1868.9339	1.9279022	5.0044256	5073.4337	5133.1944
mod	Indian	(28.2,28.3]	cstar_tref ~ temp + nitrate + silicate + phosphate	1702.6375	1733.1980	0.4882896	1.1006349	4563.2128	4625.7870
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1833.3824	1861.9898	1.9127489	5.0130958	5076.2553	5136.0160
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + oxygen + silicate + phosphate	1841.9666	1866.4872	1.9358934	5.0363840	5082.8982	5134.1216
mod	Indian	(28.3,28.4]	cstar_tref ~ aou + oxygen + nitrate + silicate	1613.4159	1643.2963	0.5096180	0.9215939	3143.1024	3204.5587
obs	Indian	(28.3,28.4]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	1316.9184	1342.4612	2.3987120	5.2328877	2910.6812	2962.6241
mod	Indian	(28.3,28.4]	cstar_tref ~ oxygen + nitrate + silicate + phosphate	1601.3821	1631.2625	0.5067735	0.9043288	3029.4491	3090.9054
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1450.5711	1485.4317	0.4720049	0.8916446	3034.8243	3106.5232
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1310.7637	1336.3065	2.3728604	5.1953626	2901.8767	2953.8196
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	1309.9511	1335.4939	2.3694682	5.2198932	2907.3842	2959.3271
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + oxygen + nitrate + silicate	1535.7407	1570.6012	0.4910781	0.9009264	3052.6602	3124.3591
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1308.2943	1333.8371	2.3625666	5.2227761	2907.9273	2959.8702
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + silicate	1549.0509	1578.9314	0.4945875	0.9068254	3080.5502	3142.0065
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	1540.2040	1575.0646	0.4920986	0.8893843	2968.3369	3040.0358
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	1308.2658	1333.8086	2.3624482	5.1809189	2898.4612	2950.4041
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + oxygen + silicate + phosphate	1307.0795	1328.9733	2.3658348	5.2271799	2904.9674	2949.4899
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + silicate	1534.6215	1569.4821	0.4908225	0.8991846	3041.1804	3112.8793
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + oxygen + phosphate	1310.0589	1335.6017	2.3699179	5.2359127	2910.9892	2962.9321
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1307.6938	1333.2367	2.3600704	5.2217066	2907.6470	2959.5900
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1536.6755	1571.5360	0.4912916	0.9008721	3051.7303	3123.4293
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1306.4922	1332.0350	2.3550828	5.2108780	2905.1336	2957.0765
mod	Indian	(28.3,28.4]	cstar_tref ~ temp + aou + nitrate + silicate	1611.4052	1641.2857	0.5091416	0.9196953	3131.2289	3192.6852
mod	Indian	(28.3,28.4]	cstar_tref ~ temp + oxygen + nitrate + silicate	1613.7411	1643.6215	0.5096950	0.9214445	3141.8596	3203.3159
obs	Indian	(28.3,28.4]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	1316.5794	1342.1222	2.3972808	5.2429333	2912.9367	2964.8796
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate	-Inf	-Inf	0.0000000	2.1320530	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1028693	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1030813	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + oxygen + nitrate + phosphate	-Inf	-Inf	0.0000000	2.1334416	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1026264	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	-Inf	-Inf	0.0000000	2.1257334	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.0956050	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	-Inf	-Inf	0.0000000	2.1225897	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1166767	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1113160	-Inf	-Inf
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	12331.2015	12369.5566	7.8344624	16.2532628	29041.6068	29120.3030
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	12125.9074	12164.2625	7.3932861	15.6812861	28762.6543	28841.3506
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	9301.4477	9337.9903	7.2288476	14.9238568	22295.5311	22370.8319
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	12080.4409	12118.7960	7.2989895	15.2053110	28495.4128	28574.1090
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate	9169.4717	9206.0143	6.8881842	13.9545181	21843.7715	21919.0724
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + oxygen + silicate	9344.1553	9380.6980	7.3426556	14.9662841	22303.2719	22378.5728
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	12425.1560	12458.0318	8.0496026	16.4662250	29132.3441	29199.7980
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	9167.0582	9203.6009	6.8821063	14.1579617	21950.9899	22026.2908
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12028.8174	12067.1725	7.1933805	15.1510093	28474.2167	28552.9130
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	9328.4415	9364.9842	7.3005744	15.1136177	22379.6401	22454.9410
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	12049.4093	12087.7644	7.2353220	15.0488595	28408.8512	28487.5475
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	9123.5175	9160.0601	6.7733724	13.8148057	21784.5725	21859.8734
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + phosphate	12379.9477	12412.8235	7.9475145	16.2739272	29036.4460	29103.9000
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9175.9215	9212.4641	6.9044534	14.2107882	21975.5379	22050.8388
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12035.7353	12074.0904	7.2074437	15.1295720	28460.1023	28538.7985
obs	Pacific	(-Inf,26]	cstar_tref ~ temp + aou + oxygen + nitrate	12495.3586	12528.2344	8.2107378	16.4337788	29093.0917	29160.5456
mod	Pacific	(-Inf,26]	cstar_tref ~ temp + aou + oxygen + nitrate + silicate	9294.3820	9330.9246	7.2101896	14.7426211	22208.3449	22283.6458
mod	Pacific	(-Inf,26]	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	9362.6890	9399.2316	7.3926003	15.1881298	22405.4676	22480.7685
mod	Pacific	(-Inf,26]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	9374.5719	9411.1145	7.4248009	15.1706540	22393.3646	22468.6655
obs	Pacific	(-Inf,26]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	12300.9166	12339.2717	7.7677615	16.0909741	28957.6068	29036.3030
mod	Pacific	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	9077.2091	9115.0900	3.7403945	7.0792387	20014.6412	20092.0063
obs	Pacific	(26,26.5]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	11275.8622	11314.2409	5.7537197	12.2361449	24534.0601	24611.6940
mod	Pacific	(26,26.5]	cstar_tref ~ aou + oxygen + silicate + phosphate	9125.4202	9157.8895	3.7975671	7.2201990	20164.0081	20230.3210
obs	Pacific	(26,26.5]	cstar_tref ~ aou + oxygen + silicate + phosphate	11342.8638	11375.7599	5.8665207	12.4623951	24668.9460	24735.4894
mod	Pacific	(26,26.5]	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	9125.9020	9163.7829	3.7958256	7.1608021	20095.7822	20173.1473
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	11338.5982	11376.9770	5.8561874	12.1555821	24481.4295	24559.0634
mod	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	8912.4356	8950.3165	3.5587543	6.7545559	19667.6273	19744.9924
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	11196.7341	11235.1128	5.6270314	12.0330046	24407.1444	24484.7783
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	11299.8037	11338.1825	5.7926104	12.0771256	24433.1093	24510.7433
mod	Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	9860.6772	9898.5581	4.7392951	8.7745302	21586.5581	21663.9232
mod	Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9012.2636	9050.1445	3.6677196	6.9175310	19837.2064	19914.5715
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	11202.8575	11241.2363	5.6367350	12.0426745	24413.2467	24490.8806
mod	Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8812.6933	8850.5742	3.4531158	6.6249280	19536.5250	19613.8901
obs	Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	11224.7450	11263.1238	5.6715563	12.1076463	24454.0481	24531.6820
mod	Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	8971.4542	9003.9235	3.6249671	6.9147178	19845.2351	19911.5480
obs	Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	11312.4327	11345.3288	5.8165031	12.3739964	24615.0078	24681.5511
mod	Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	8878.3542	8916.2351	3.5222997	6.7280561	19646.4903	19723.8554
obs	Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	11241.0204	11279.3992	5.6975885	12.1396671	24474.0697	24551.7036
mod	Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + silicate + phosphate	9067.3650	9099.8344	3.7315410	7.0535011	19981.6971	20048.0100
obs	Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + silicate + phosphate	11331.3119	11364.2079	5.8474832	12.4065570	24634.8577	24701.4011
obs	Pacific	(26.5,26.75]	cstar_tref ~ aou + oxygen + nitrate + phosphate	10165.2733	10197.6439	5.4706019	11.6204446	22238.7142	22304.2677
mod	Pacific	(26.5,26.75]	cstar_tref ~ aou + oxygen + silicate + phosphate	8174.6563	8206.8739	3.1670065	6.1633530	17174.9950	17240.1390
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8917.2266	8954.8138	3.9992658	7.5268953	18502.6315	18578.6328
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate	8922.0519	8954.2695	4.0078750	7.5839927	18554.2205	18619.3645
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8799.8950	8837.4822	3.8541262	7.7426058	18733.1846	18809.1859
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	10127.9298	10165.6956	5.4048963	11.5099835	22176.1409	22252.6200
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	7897.7378	7935.3250	2.9005802	5.7398275	16707.7074	16783.7087
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	10247.4955	10285.2613	5.6070623	12.0014200	22468.2892	22544.7683
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	10136.8283	10174.5941	5.4196879	11.5492318	22199.9438	22276.4229
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7921.4741	7959.0613	2.9223531	5.7677025	16739.1124	16815.1138
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10267.8685	10305.6342	5.6422559	12.0522478	22497.7659	22574.2451
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate	10164.4318	10196.8024	5.4691882	11.6348689	22247.4612	22313.0147
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7826.9915	7864.5787	2.8366435	5.6922985	16657.5440	16733.5453
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	10088.3612	10126.1270	5.3396107	11.4975082	22168.6816	22245.1607
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	7939.2871	7971.5047	2.9406523	5.7978662	16769.7890	16834.9330
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	10257.2566	10289.6273	5.6273524	12.0493032	22492.1029	22557.6564
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + phosphate	10183.3990	10215.7696	5.5011409	11.7141974	22294.9641	22360.5176
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	7923.5080	7961.0953	2.9242264	5.8120828	16794.1142	16870.1155
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	10128.1291	10165.8948	5.4052271	11.6149540	22239.6958	22316.1749
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	8001.0665	8033.2841	2.9984504	5.8863822	16869.7658	16934.9099
obs	Pacific	(26.75,27]	cstar_tref ~ aou + oxygen + nitrate + phosphate	12703.8162	12737.5257	5.4709038	10.5592954	26282.2562	26350.2162
obs	Pacific	(26.75,27]	cstar_tref ~ aou + oxygen + phosphate	12819.4797	12847.5710	5.6313758	10.8311367	26492.3527	26548.9860
mod	Pacific	(26.75,27]	cstar_tref ~ aou + oxygen + silicate + phosphate	8833.4700	8866.0827	3.2650171	6.2205602	19411.5357	19478.0778
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8473.0375	8511.0856	2.9339592	5.7511783	18850.7336	18928.3661
obs	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	12752.6497	12791.9774	5.5342210	10.6343386	26343.3420	26422.6286
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	8751.5546	8789.6026	3.1851876	6.0841308	19249.9829	19327.6154
obs	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12861.6366	12900.9644	5.6844191	10.9120541	26562.3222	26641.6088
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	8569.1392	8607.1873	3.0183229	5.9913988	19174.1765	19251.8090
obs	Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	12797.2399	12836.5677	5.5951864	10.7593656	26443.5296	26522.8162
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	8797.6151	8835.6631	3.2287606	6.1858883	19379.9437	19457.5761
mod	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate	8869.0645	8901.6772	3.2994800	6.3235183	19543.8592	19610.4013
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate	12751.4375	12785.1470	5.5352924	10.6649995	26365.8960	26433.8560
mod	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8235.5927	8273.6408	2.7354886	5.3935960	18367.8391	18445.4716
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	12731.4104	12770.7381	5.5054159	10.6027103	26319.6364	26398.9230
mod	Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	8774.8332	8807.4459	3.2090278	6.1272566	19299.2560	19365.7981
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	12865.7471	12899.4566	5.6929599	10.9245320	26567.7859	26635.7459
obs	Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + phosphate	12795.3778	12829.0873	5.5953760	10.7867167	26463.0324	26530.9923
mod	Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	8231.2474	8269.2954	2.7319844	5.4566051	18467.8398	18545.4723
obs	Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	12785.2706	12824.5984	5.5787559	10.7517325	26439.1415	26518.4281
mod	Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + silicate + phosphate	8817.8777	8850.4903	3.2500341	6.2278770	19427.6790	19494.2212
mod	Pacific	(27,27.25]	cstar_tref ~ aou + oxygen + phosphate	10102.1872	10129.8983	3.5135075	6.3728926	21511.6076	21568.0394
mod	Pacific	(27,27.25]	cstar_tref ~ aou + oxygen + silicate + phosphate	9980.0090	10013.2623	3.3997223	6.1738766	21251.7461	21319.4642
obs	Pacific	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	13790.6220	13830.8733	4.7001935	9.1154111	31019.5083	31101.7197
obs	Pacific	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	13791.3835	13825.8846	4.7029892	9.1197465	31020.3366	31090.8035
obs	Pacific	(27,27.25]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	13862.8480	13903.0993	4.7738648	9.2951787	31232.4976	31314.7089
obs	Pacific	(27,27.25]	cstar_tref ~ sal + oxygen + silicate + phosphate	13896.7706	13931.2717	4.8109352	9.3398700	31274.4038	31344.8707
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8838.5337	8877.3292	2.5106595	4.7601502	19144.5628	19223.5673
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	13832.5664	13872.8177	4.7428377	9.1271368	31019.7945	31102.0059
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate	13864.3999	13898.9010	4.7775174	9.2257459	31135.4426	31205.9095
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	10025.8371	10064.6326	3.4394552	6.3445006	21512.3860	21591.3905
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	13778.7034	13818.9547	4.6881461	9.0833078	30980.6006	31062.8120
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	8947.8696	8986.6651	2.5844990	4.9109025	19409.0872	19488.0916
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	13861.7537	13902.0050	4.7727401	9.1928537	31097.2099	31179.4212
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + phosphate	13888.6782	13923.1793	4.8025592	9.2827556	31202.1711	31272.6380
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10089.4594	10128.2549	3.4979605	6.4891112	21710.8378	21789.8423
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	13801.3078	13841.5591	4.7110210	9.1330589	31039.3441	31121.5554
mod	Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate	8859.2639	8892.5172	2.5258345	4.8149312	19243.8581	19311.5762
mod	Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8851.8440	8890.6394	2.5195345	4.8033797	19227.8363	19306.8408
mod	Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + phosphate	8959.2222	8992.4755	2.5936641	4.9531930	19483.7029	19551.4210
mod	Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	8936.7346	8975.5301	2.5768807	4.9193355	19429.6915	19508.6959
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + phosphate	10931.4967	10965.4884	3.1290156	5.6101928	24295.0212	24364.7811
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	10442.2112	10481.8682	2.7886439	4.9339924	22973.5430	23054.9296
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	12369.5324	12409.6958	3.5795836	7.4555004	29192.2803	29274.5578
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	10919.8988	10953.8905	3.1205203	5.5095309	24066.2939	24136.0539
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	12396.8786	12431.3043	3.6025630	7.4993130	29250.1118	29320.6354
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	10461.1460	10500.8030	2.8010489	4.9912189	23111.0818	23192.4684
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	12459.2005	12499.3638	3.6502623	7.6073608	29407.5650	29489.8425
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + silicate + phosphate	10842.0931	10876.0849	3.0641225	5.4251083	23920.8032	23990.5631
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + silicate + phosphate	12529.3127	12563.7384	3.7081142	7.7245767	29565.9135	29636.4371
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	12865.7303	12905.8937	3.9886183	7.9706146	29852.1044	29934.3820
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate	12910.0817	12944.5074	4.0291362	8.1000665	30028.3107	30098.8343
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	10613.5703	10653.2273	2.9029399	5.2182849	23582.3104	23663.6970
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	12361.8266	12401.9899	3.5735738	7.3894469	29089.9612	29172.2388
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	10525.0718	10564.7288	2.8433386	5.1886148	23567.4879	23648.8745
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	12874.6553	12914.8186	3.9963882	7.9827268	29867.6341	29949.9116
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	10764.4531	10804.1101	3.0074504	5.6029159	24388.2856	24469.6722
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + phosphate	12921.5047	12955.9304	4.0391847	8.1148490	30046.7768	30117.3004
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10608.0640	10647.7210	2.8991954	5.2242104	23600.7106	23682.0972
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12377.5810	12417.7443	3.5858713	7.4063142	29112.9686	29195.2461
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate	10616.6601	10650.6518	2.9064055	5.2636763	23686.3373	23756.0973
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	11315.1955	11355.3619	2.8413204	4.8503775	23859.4915	23941.6084
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	13946.5354	13987.4369	3.7250321	7.0529495	29981.8308	30064.9063
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	11483.8157	11518.2440	2.9489737	5.0426248	24270.2758	24340.6617
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	14066.9799	14102.0383	3.8156196	7.2988920	30379.1384	30450.3460
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	11221.3682	11261.5345	2.7838038	4.7258438	23564.8189	23646.9359
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	13994.3836	14035.2850	3.7601725	7.2257317	30277.3817	30360.4572
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + silicate + phosphate	11369.2779	11403.7062	2.8762650	4.8866549	23915.5000	23985.8860
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + silicate + phosphate	14135.8179	14170.8763	3.8675116	7.5712634	30823.0949	30894.3024
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate	10777.4023	10817.5687	2.5270472	4.2083720	22267.4443	22349.5613
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate	10776.3100	10810.7383	2.5275472	4.2144581	22283.9881	22354.3741
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	14063.5201	14104.4215	3.8115337	7.0094385	29855.2471	29938.3226
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	10980.2799	11020.4463	2.6412986	4.4226768	22812.5291	22894.6461
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	10773.9135	10814.0799	2.5251263	4.2041011	22255.6750	22337.7920
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate	10772.8744	10807.3027	2.5256552	4.2103484	22272.7644	22343.1504
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	14018.9081	14059.8096	3.7783120	6.9621364	29783.6645	29866.7400
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate	11031.0621	11065.4904	2.6718606	4.4662116	22904.2672	22974.6532
obs	Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14728.6211	14769.5226	4.3429159	7.8225059	31036.3148	31119.3902
obs	Pacific	(27.5,27.75]	cstar_tref ~ temp + aou + silicate + phosphate	14793.7701	14828.8285	4.4005203	7.8815408	31101.9758	31173.1833
obs	Pacific	(27.5,27.75]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	14715.7731	14756.6746	4.3319804	7.8225332	31042.6930	31125.7685
obs	Pacific	(27.5,27.75]	cstar_tref ~ temp + oxygen + silicate + phosphate	14765.8878	14800.9462	4.3765090	7.8677736	31092.0537	31163.2613
obs	Pacific	(27.75,27.85]	cstar_tref ~ aou + oxygen + silicate + phosphate	13780.7018	13815.3610	4.3439868	7.3441218	25675.7541	25745.0118
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate	6664.5912	6696.6943	2.0491203	3.5614268	13189.5608	13254.5600
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6550.5997	6588.0533	1.9741979	3.4520975	12995.7775	13071.6099
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	6612.4768	6644.5799	2.0151126	3.5246284	13130.8822	13195.8814
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + nitrate + silicate	6643.5063	6675.6094	2.0352926	3.5371539	13143.8441	13208.8433
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	6580.2499	6617.7035	1.9930852	3.4635928	13007.6071	13083.4395
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + silicate + phosphate	6626.2451	6658.3482	2.0240420	3.5230820	13119.9004	13184.8996
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	13735.3510	13775.7867	4.3010604	7.3443318	25699.7850	25780.5856
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate	6643.8066	6681.2603	2.0341820	3.5091438	13081.9126	13157.7449
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	13660.4193	13700.8551	4.2339953	7.2193859	25534.2176	25615.0183
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate	6696.1110	6728.2141	2.0699668	3.5453787	13133.3015	13198.3007
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6689.2868	6726.7404	2.0641094	3.5395182	13128.4696	13204.3020
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	13712.5806	13753.0163	4.2805689	7.3322339	25690.0147	25770.8154
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6639.8687	6677.3223	2.0316112	3.5063559	13077.4514	13153.2838
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	13619.1046	13659.5403	4.1974662	7.1852894	25496.7474	25577.5480
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	13606.9721	13647.4078	4.1867990	7.1833440	25498.3730	25579.1736
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	13720.4380	13755.0972	4.2894277	7.2914863	25618.5156	25687.7733
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + nitrate + phosphate	13715.0179	13749.6771	4.2845544	7.3364328	25690.7821	25760.0398
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	13585.3787	13625.8144	4.1678806	7.1697590	25485.1729	25565.9736
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + silicate + phosphate	13682.1084	13716.7676	4.2550835	7.2623198	25588.3196	25657.5774
obs	Pacific	(27.85,27.95]	cstar_tref ~ aou + oxygen + nitrate + phosphate	14528.8628	14564.4634	3.2660542	6.1226890	29184.4961	29256.0665
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate	7279.7070	7312.7399	1.7858255	3.0882334	13664.1253	13730.4338
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7271.5411	7310.0795	1.7808395	3.0783153	13643.5953	13720.9552
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + nitrate + silicate	7327.7075	7360.7404	1.8095573	3.1371970	13784.7714	13851.0798
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	7301.2563	7339.7948	1.7954530	3.1230503	13760.1994	13837.5592
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate	7205.0772	7238.1102	1.7495446	3.1379853	13831.6730	13897.9814
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	14530.6837	14572.2178	3.2659493	6.1432810	29231.1406	29314.6394
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate	7124.4648	7163.0032	1.7102419	2.9617084	13359.8267	13437.1866
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate	7273.9493	7306.9823	1.7829999	3.1209293	13760.2431	13826.5516
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	14367.8102	14409.3442	3.1719648	5.9864974	28937.3647	29020.8635
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7305.1500	7343.6884	1.7973767	3.1654680	13877.8462	13955.2061
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate	7195.8481	7228.8810	1.7451094	3.1272243	13805.1552	13871.4637
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	14553.5994	14595.1335	3.2793942	6.1722236	29285.9211	29369.4200
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7118.2963	7156.8347	1.7073430	2.9554190	13343.3873	13420.7471
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	14333.6005	14375.1346	3.1525708	5.9722212	28913.9316	28997.4304
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + phosphate	14532.7132	14568.3138	3.2683094	6.1456747	29231.2393	29302.8097
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14323.2247	14364.7587	3.1467120	5.9580469	28886.0358	28969.5346
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	14413.4356	14449.0362	3.1991633	6.0322164	29019.8967	29091.4671
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	14303.7261	14345.2602	3.1357315	5.9529833	28879.0088	28962.5077
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + silicate + phosphate	14390.3641	14425.9647	3.1859583	6.0262129	29011.8849	29083.4554
obs	Pacific	(27.95,28.05]	cstar_tref ~ aou + oxygen + phosphate	19171.9985	19202.6635	4.0344278	7.0537979	38636.8885	38698.8378
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	19205.5802	19248.5112	4.0519909	7.0110236	38518.8780	38605.6070
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + oxygen + phosphate	19164.8558	19201.6538	4.0290150	7.0457082	38624.9089	38699.2481
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate	6436.9586	6469.5959	1.5976513	2.7640925	11960.3860	12025.8344
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	18995.6127	19038.5437	3.9289653	6.9910367	38572.7490	38659.4780
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate	6325.9384	6364.0153	1.5454767	2.6499779	11660.1749	11736.5314
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate	6490.1748	6522.8122	1.6228244	2.8873821	12296.6030	12362.0514
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate	6508.9512	6541.5885	1.6318005	3.0044988	12602.9032	12668.3517
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	19233.9711	19276.9021	4.0689189	7.0289601	38549.8955	38636.6246
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate	6634.5071	6667.1445	1.6931130	3.0776290	12758.4962	12823.9447
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate	6433.5772	6466.2146	1.5960650	2.7590357	11946.5633	12012.0118
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	19049.4516	19092.3826	3.9601503	7.0679466	38740.8382	38827.5673
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + phosphate	6487.2818	6519.9192	1.6214457	2.8848672	12290.5599	12356.0083
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate	6507.0731	6539.7105	1.6309005	3.0031667	12599.9221	12665.3706
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate	6635.8750	6663.0728	1.6947890	3.0834477	12768.3332	12822.8736
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate	6624.6453	6657.2826	1.6882149	3.0757793	12756.3409	12821.7894
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + phosphate	18993.9851	19030.7831	3.9291801	6.9917158	38570.2899	38644.6291
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	18994.6211	19037.5521	3.9283933	6.8934576	38323.6147	38410.3438
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + nitrate + phosphate	19050.6339	19087.4319	3.9620013	7.0738223	38749.9961	38824.3353
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	19040.0780	19083.0090	3.9547030	6.9289397	38392.8791	38479.6082
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + phosphate	14369.3440	14405.3179	2.7176064	5.5611788	28219.1662	28290.7814
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	14321.4131	14363.3826	2.6948430	5.4373784	27970.0578	28053.6089
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate	14383.5178	14419.4916	2.7241032	5.4718927	28040.9113	28112.5265
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	14444.6869	14486.6565	2.7513924	5.5130958	28132.4461	28215.9972
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate	4968.8280	4999.8164	1.6451885	2.7326998	9149.6795	9212.0772
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	14316.4173	14358.3868	2.6925760	5.5063366	28109.0511	28192.6022
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate	4845.2802	4881.4332	1.5672240	2.6320704	8969.7076	9042.5049
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate	5048.0213	5079.0096	1.6963499	2.8852081	9476.0403	9538.4380
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate	14410.2891	14446.2629	2.7364166	5.5521451	28204.8492	28276.4645
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4819.4668	4855.6198	1.5516579	2.6119478	8931.9988	9004.7961
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	14344.5248	14386.4943	2.7053558	5.4352740	27967.2732	28050.8243
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + nitrate	4968.3243	4999.3127	1.6448681	2.7358694	9158.0638	9220.4615
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4843.9697	4880.1228	1.5664301	2.6335851	8974.4048	9047.2021
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + phosphate	5047.9793	5078.9676	1.6963223	2.8897793	9486.7080	9549.1057
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4819.5385	4855.6915	1.5517009	2.6153921	8940.9549	9013.7522
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	14398.8310	14440.8005	2.7302196	5.4604913	28022.3065	28105.8576
mod	Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate	5262.3762	5293.3645	1.8429533	2.9677589	9536.7625	9599.1602
obs	Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	14394.5980	14436.5675	2.7282734	5.5082602	28119.4145	28202.9656
mod	Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + nitrate + silicate	5267.6361	5298.6245	1.8467057	2.9788207	9559.9906	9622.3883
obs	Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	14465.0515	14507.0210	2.7608478	5.5468056	28201.9174	28285.4685
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate	11644.6494	11679.5865	2.4852830	4.9388410	21941.8106	22010.9792
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	11606.5456	11647.3056	2.4654051	4.8287995	21739.4717	21820.1684
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	8031.1779	8065.7637	1.3279641	2.4760611	15448.4808	15517.7106
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + aou + silicate + phosphate	11658.7326	11693.6696	2.4923014	4.8560120	21790.2527	21859.4214
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	11621.3604	11662.1203	2.4727296	4.8456723	21772.1882	21852.8850
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + oxygen + silicate + phosphate	11679.3713	11714.3084	2.5026227	4.8771861	21831.2307	21900.3993
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate	8386.8310	8421.4168	1.4321219	2.5252502	15570.7939	15640.0237
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	11639.6269	11680.3868	2.4817907	4.9103012	21893.2289	21973.9256
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate	7610.0033	7650.3534	1.2138547	2.2505519	14543.8807	14624.6489
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + phosphate	11737.5400	11772.4770	2.5319429	4.9634653	21994.6450	22063.8136
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	7418.0750	7458.4251	1.1653855	2.1158272	13938.8069	14019.5751
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	11656.9367	11697.6966	2.4904078	4.8518402	21786.1755	21866.8723
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate	8394.3470	8428.9328	1.4344091	2.5304858	15591.1209	15660.3508
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7615.1140	7655.4640	1.2151726	2.2537214	14557.4783	14638.2464
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7431.3485	7471.6986	1.1686743	2.1228758	13970.8565	14051.6246
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	11659.1251	11699.8850	2.4914993	4.8561055	21794.3272	21875.0239
mod	Pacific	(28.1,28.2]	cstar_tref ~ temp + aou + nitrate + silicate	8469.3565	8503.9423	1.4574358	2.5277873	15553.1749	15622.4048
obs	Pacific	(28.1,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	11818.4767	11859.2366	2.5722816	4.9580276	21993.1964	22073.8931
mod	Pacific	(28.1,28.2]	cstar_tref ~ temp + aou + silicate + phosphate	8476.1313	8510.7171	1.4595336	2.4983250	15417.6064	15486.8362
mod	Pacific	(28.1,28.2]	cstar_tref ~ temp + oxygen + silicate + phosphate	8503.5430	8538.1288	1.4680527	2.5173804	15493.0143	15562.2441
obs	Pacific	(28.2,28.3]	cstar_tref ~ aou + oxygen + nitrate + phosphate	3413.8696	3441.9094	2.0780324	4.4531111	5572.8005	5625.7567
obs	Pacific	(28.2,28.3]	cstar_tref ~ aou + oxygen + nitrate + silicate + phosphate	3380.0441	3412.7572	2.0315028	4.4064630	5540.9282	5602.7104
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3359.6892	3392.4023	2.0055318	4.4250683	5538.0529	5599.8351
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + aou + oxygen + nitrate + phosphate	3364.0626	3396.7756	2.0110836	4.3861546	5524.9905	5586.7727
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + aou + silicate + phosphate	10218.5674	10256.8953	0.7729680	1.3918786	19169.3398	19246.4745
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + oxygen + silicate + phosphate	10332.4380	10370.7660	0.7830490	1.4422125	19882.9490	19960.0838
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3367.2169	3399.9299	2.0150975	4.3979135	5531.2051	5592.9873
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + aou + nitrate + silicate	10327.4097	10372.1257	0.7824230	1.4708980	20294.0237	20384.0142
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + aou + silicate	10398.7529	10437.0809	0.7889803	1.4846152	20461.8394	20538.9741
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + aou + silicate + phosphate	9978.8449	10023.5609	0.7519965	1.3419106	18474.9065	18564.8970
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + nitrate + silicate	10356.6634	10394.9913	0.7852105	1.4857471	20486.5816	20563.7163
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	3361.9078	3394.6209	2.0083463	4.4145745	5535.0868	5596.8690
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	10329.4066	10374.1226	0.7826008	1.4713933	20300.4092	20390.3997
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + silicate	10397.8149	10436.1428	0.7888960	1.4846086	20461.9636	20539.0983
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9985.8006	10030.5165	0.7525920	1.3438831	18504.0546	18594.0451
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + silicate + phosphate	10265.6866	10304.0145	0.7771236	1.4837793	20478.3823	20555.5170
obs	Pacific	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + phosphate	3408.1062	3436.1459	2.0704757	4.4549679	5570.7554	5623.7116
obs	Pacific	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3379.1050	3411.8181	2.0302972	4.4062709	5540.3901	5602.1723
obs	Pacific	(28.2,28.3]	cstar_tref ~ temp + aou + oxygen + nitrate + phosphate	3400.9721	3433.6852	2.0585558	4.4278648	5559.6168	5621.3990
obs	Pacific	(28.2,28.3]	cstar_tref ~ temp + oxygen + nitrate + silicate + phosphate	3381.2124	3413.9255	2.0330036	4.4240941	5548.4592	5610.2414
mod	Pacific	(28.3,28.4]	cstar_tref ~ aou + nitrate + silicate + phosphate	6946.6490	6980.9183	1.1424002	1.9030734	11015.6098	11082.7549
mod	Pacific	(28.3,28.4]	cstar_tref ~ oxygen + nitrate + silicate + phosphate	6965.2543	6999.5236	1.1471672	1.8896942	10948.6949	11015.8400
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + phosphate	474.9036	491.5784	1.6922087	4.1697116	710.2178	738.1198
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6930.1193	6970.1002	1.1376723	1.8974555	10996.9338	11075.2698
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	474.5445	493.9984	1.6755180	4.1527792	711.8493	744.4016
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + nitrate + silicate + phosphate	6985.6167	7019.8860	1.1524073	1.9170933	11073.2141	11140.3592
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + nitrate + silicate + phosphate	473.4934	490.1682	1.6822120	4.1677661	709.1191	737.0211
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + phosphate	476.0072	492.6819	1.7000733	4.1663367	710.8849	738.7868
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	6958.0817	6998.0626	1.1448146	1.8842641	10928.8120	11007.1479
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + oxygen + nitrate + silicate + phosphate	474.8419	494.2958	1.6776134	4.1437233	711.7137	744.2659
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7100.9825	7140.9634	1.1820212	1.9079912	11006.5491	11084.8851
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	475.3136	494.7675	1.6809415	4.1458036	712.1368	744.6891
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + silicate	7012.2740	7052.2549	1.1587846	1.9338951	11149.8311	11228.1671
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + nitrate + phosphate	479.0370	495.7117	1.7218543	4.1871006	713.8751	741.7771
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	475.4198	494.8736	1.6816912	4.1405189	712.0076	744.5599
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	7102.2942	7142.2751	1.1823683	1.9091789	11011.9604	11090.2963
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + oxygen + nitrate + phosphate	477.0603	496.5142	1.6933234	4.1536083	713.7050	746.2573
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7011.6345	7051.6153	1.1586187	1.9342890	11151.7487	11230.0846
mod	Pacific	(28.3,28.4]	cstar_tref ~ temp + aou + nitrate + silicate	7010.3350	7044.6043	1.1588004	1.9354939	11153.1182	11220.2633
obs	Pacific	(28.3,28.4]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	471.1898	490.6437	1.6520667	4.2127108	711.6728	744.2250

7.3 Target variable coefficients

A data frame to map the target variable is prepared.

# extend best model selection with coefficients

lm_best <- left_join(
  lm_best,
  GLODAP_tidy %>% select(data_source, basin, gamma_slab, era, model, term, estimate)
)

7.4 dcant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of dcant.

# subtract coefficients of adjacent era  
lm_best_dcant <- lm_best %>%
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  arrange(era) %>%
  group_by(data_source, basin, gamma_slab, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot to wide format
lm_best_dcant <- lm_best_dcant %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

# create table of target variable coefficients in wide format
lm_best_target <- lm_best %>% 
  select(-c(AIC, BIC, rmse, aic_sum, bic_sum, rmse_sum)) %>% 
  pivot_wider(names_from = "term",
              names_prefix = "coeff_",
              values_from = "estimate",
              values_fill = 0
              )

GLODAP_augmented_best <- left_join(
  lm_best_target %>% select(data_source, basin, gamma_slab, era, model),
  GLODAP_augmented
)

7.5 Write files

lm_best_target %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_dcant %>%
  write_csv(paste(path_version_data,
                  "lm_best_dcant.csv",
                  sep = ""))

GLODAP_augmented_best %>%
  write_csv(paste(path_version_data,
                  "lm_residuals_best_models.csv",
                  sep = ""))

8 Model diagnotics

8.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

8.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  # head(1) %>%
  map(
    ~ ggplot(data = .x,
             aes(
               as.factor(n_predictors),
               !!sym(params_local$MLR_criterion),
               col = data_source
             )) +
      geom_hline(yintercept = c(0, 10)) +
      geom_boxplot() +
      facet_grid(gamma_slab ~ basin) +
      scale_color_brewer(palette = "Set1") +
      ylim(c(0, NA)) +
      labs(x = "Number of predictors",
           title = paste("Era:", unique(.x$era)))
  )

[[1]]

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
5b48ef5	jens-daniel-mueller	2020-12-17
f3a708f	jens-daniel-mueller	2020-12-17

[[2]]

Past versions of eMLR_predictor_model_quality_all-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26

8.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  # head(1) %>%
  imap(
  ~ ggplot(data = .x,
         aes("",
             !!sym(params_local$MLR_criterion),
             col = data_source)) +
  geom_hline(yintercept = c(0, 10)) +
  geom_boxplot() +
  facet_grid(gamma_slab ~ basin) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0, NA)) +
  labs(x = "Number of predictors pooled",
           title = paste("Era:", unique(.x$era)))
  )

[[1]]

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
c6b3da6	jens-daniel-mueller	2021-06-14
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
5b48ef5	jens-daniel-mueller	2020-12-17
f3a708f	jens-daniel-mueller	2020-12-17

[[2]]

Past versions of eMLR_predictor_model_quality_best-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26

8.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjecent eras (ie check whether the same predictor combination performs equal in both eras).

8.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all$rmse,
        lm_all$rmse_sum - lm_all$rmse))

lm_all %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
5b48ef5	jens-daniel-mueller	2020-12-17
e4ca289	jens-daniel-mueller	2020-12-16
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
ba112d3	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
7c25f7a	jens-daniel-mueller	2020-12-02
b03ddb8	jens-daniel-mueller	2020-12-02
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30

rm(max_rmse)

8.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
a84ff3c	jens-daniel-mueller	2020-12-17

rm(max_rmse)

8.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_dcant %>% 
  pivot_longer(starts_with("delta_coeff_"),
               names_to = "term",
               names_prefix = "delta_coeff_",
               values_to = "delta_coeff") %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(data_source, basin, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n, names_from = term)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	oxygen	phosphate	sal	silicate	temp
Atlantic - mod
(-Inf,26]	4	6	4	5	10	8	10
(26,26.5]	7	9	7	10	4	4	6
(26.5,26.75]	6	8	5	10	5	6	8
(26.75,27]	7	4	5	10	4	10	6
(27,27.25]	7	8	5	5	6	10	7
(27.25,27.5]	7	10	5	4	4	10	6
(27.5,27.75]	8	4	6	8	9	7	4
(27.75,27.85]	8	2	8	8	5	8	4
(27.85,27.95]	7	3	6	7	7	10	6
(27.95,28.05]	7	NA	7	10	6	6	6
(28.05,28.1]	8	NA	6	10	6	5	6
(28.1,28.15]	8	NA	6	10	5	6	6
(28.15,28.2]	7	10	7	3	4	6	6
(28.2, Inf]	8	10	5	NA	8	6	5
total	99.00	—	82.00	—	83.00	102.00	86.00
Indian - mod
(-Inf,26]	5	4	5	10	6	6	10
(26,26.5]	5	4	5	10	6	6	10
(26.5,26.75]	6	5	4	10	6	8	8
(26.75,27]	6	5	4	10	6	8	8
(27,27.25]	6	10	3	8	5	7	7
(27.25,27.5]	3	10	3	5	7	5	10
(27.5,27.75]	1	9	4	10	5	7	5
(27.75,27.85]	2	5	2	7	3	9	3
(27.85,27.95]	4	2	6	8	6	10	5
(27.95,28.05]	4	3	6	7	10	7	6
(28.05,28.1]	5	4	5	4	10	6	10
(28.1,28.2]	3	10	3	2	7	5	10
(28.2,28.3]	5	10	3	6	8	6	7
(28.3,28.4]	5	10	7	3	6	10	4
total	60.00	91.00	60.00	100.00	91.00	100.00	103.00
Pacific - mod
(-Inf,26]	6	6	7	6	7	8	10
(26,26.5]	6	4	7	9	4	10	7
(26.5,26.75]	7	4	4	10	5	9	7
(26.75,27]	6	5	5	10	4	7	9
(27,27.25]	6	6	6	10	4	5	8
(27.25,27.5]	4	5	4	9	10	9	5
(27.5,27.75]	4	5	4	6	10	10	6
(27.75,27.85]	4	8	4	5	10	10	4
(27.85,27.95]	5	9	4	4	10	7	6
(27.95,28.05]	4	4	3	3	10	6	10
(28.05,28.1]	5	6	5	4	8	6	10
(28.1,28.2]	6	5	4	5	7	8	9
(28.2,28.3]	4	3	4	5	10	10	8
(28.3,28.4]	5	10	4	7	7	8	5
total	72.00	80.00	65.00	93.00	106.00	113.00	104.00
Atlantic - obs
(-Inf,26]	6	9	7	4	10	4	7
(26,26.5]	10	4	7	10	6	4	3
(26.5,26.75]	5	6	5	10	4	6	10
(26.75,27]	4	6	6	10	5	5	10
(27,27.25]	6	9	7	10	4	4	7
(27.25,27.5]	6	8	6	10	5	5	8
(27.5,27.75]	7	4	6	10	4	10	6
(27.75,27.85]	5	4	6	10	7	10	5
(27.85,27.95]	4	4	5	10	9	10	5
(27.95,28.05]	4	4	5	10	10	9	5
(28.05,28.1]	4	5	6	10	10	6	5
(28.1,28.15]	3	4	7	10	4	6	10
(28.15,28.2]	5	4	5	10	6	6	10
(28.2, Inf]	8	4	5	10	10	5	5
total	77.00	75.00	83.00	134.00	94.00	90.00	96.00
Indian - obs
(-Inf,26]	5	4	5	10	6	6	10
(26,26.5]	5	6	5	10	6	4	10
(26.5,26.75]	5	6	5	10	6	4	10
(26.75,27]	5	4	5	10	6	6	10
(27,27.25]	7	6	3	10	8	7	6
(27.25,27.5]	5	7	4	10	5	10	6
(27.5,27.75]	5	7	3	10	6	10	6
(27.75,27.85]	6	6	3	10	5	9	8
(27.85,27.95]	5	4	5	10	6	6	10
(27.95,28.05]	9	4	3	10	4	4	8
(28.05,28.1]	9	4	2	10	5	5	8
(28.1,28.2]	9	3	5	10	9	5	5
(28.2,28.3]	7	5	5	10	5	5	10
(28.3,28.4]	6	5	8	10	8	8	4
total	88.00	71.00	61.00	140.00	85.00	89.00	111.00
Pacific - obs
(-Inf,26]	6	5	7	9	8	4	8
(26,26.5]	6	5	6	10	4	8	8
(26.5,26.75]	6	7	5	10	4	5	9
(26.75,27]	7	7	5	10	3	4	8
(27,27.25]	5	4	5	10	10	6	6
(27.25,27.5]	5	4	5	10	10	6	6
(27.5,27.75]	5	4	5	10	6	10	6
(27.75,27.85]	5	5	6	10	4	7	9
(27.85,27.95]	6	6	5	10	4	6	9
(27.95,28.05]	7	7	5	10	5	4	7
(28.05,28.1]	7	6	3	10	8	7	6
(28.1,28.2]	7	5	3	10	9	7	5
(28.2,28.3]	8	10	6	10	4	4	6
(28.3,28.4]	4	10	3	10	9	5	5
total	84.00	85.00	69.00	139.00	88.00	83.00	98.00

8.4 RMSE alternatives

8.4.1 AIC

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
5b48ef5	jens-daniel-mueller	2020-12-17

lm_best %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
ac1a836	jens-daniel-mueller	2021-02-24
b03fbd3	jens-daniel-mueller	2021-02-24
3d3b4cc	jens-daniel-mueller	2021-02-23
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
7131186	jens-daniel-mueller	2020-12-17
5b48ef5	jens-daniel-mueller	2020-12-17

8.4.2 AIC vs BIC

BIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

lm_all %>% 
  ggplot(aes(AIC, BIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Past versions of BIC_vs_AIC_all_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20

8.5 RMSE vs VIF

GLODAP_glanced %>% 
  ggplot(aes(rmse, log10(vif_max),col=data_source)) +
  geom_hline(yintercept = 1) +
  geom_point() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin)

Past versions of rmse_vs_VIF_all_models-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20

8.6 Residual patterns

8.6.1 Fitted vs true

Plotted are fitted vs actual target variable values, here: rparams_local$MLR_target`

i_binwidth <- 2

p_prop_prop(df = GLODAP_augmented,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  facet_grid(basin_AIP ~ data_source) +
  labs(title = "All models")

Past versions of fitted_vs_actual_all_property_property-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13

GLODAP_augmented %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "All models") +
  scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

Past versions of fitted_vs_actual_all_histogram-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13

p_prop_prop(df = GLODAP_augmented_best,
            var1 = params_local$MLR_target,
            var2 = ".fitted") +
  labs(title = "Selected models") +
  facet_grid(basin_AIP ~ data_source)

Past versions of fitted_vs_actual_best_property_property-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13

GLODAP_augmented_best %>%
  ggplot(aes(!!sym(params_local$MLR_target) - .fitted)) +
  geom_histogram(binwidth = i_binwidth) +
  labs(title = "Selected models") +
    scale_x_continuous(limits = c(-50,50)) +
  facet_wrap(~data_source)

Past versions of fitted_vs_actual_best_histogram-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13

8.6.2 Pooled

In the following, we present residual patterns vs latitude across all domains.

i_ylim <- c(-30,30)

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Past versions of residual_patterns_full_range-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
27ae473	jens-daniel-mueller	2021-02-24
4bc00ea	jens-daniel-mueller	2021-02-24

Due to the few large residuals, we limit the y axis range for the plots below.

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "black") +
  scale_fill_viridis_c(trans = "log10") +
  coord_cartesian(ylim = i_ylim) +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Past versions of residual_patterns_y_range_limit-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
27ae473	jens-daniel-mueller	2021-02-24
4bc00ea	jens-daniel-mueller	2021-02-24

8.6.3 By model domain

In the following, we present residual patterns vs latitude for separate model domains, ie basins, density slabs and eras.

GLODAP_augmented_best %>% 
  group_split(basin, data_source) %>% 
  # head(1) %>% 
  map(~ ggplot(data = .x, aes(lat, .resid)) +
      geom_bin2d(binwidth = i_binwidth) +
      geom_hline(yintercept = 0, col = "black") +
      scale_fill_viridis_c(trans = "log10") +
      facet_grid(gamma_slab ~ era) +
      coord_cartesian(ylim = i_ylim) +
      labs(
        title = paste(
          "Target:",
          params_local$MLR_target,
          "| best models | basin:",
          unique(.x$basin),
          "| data_source:",
          unique(.x$data_source)
        )
      ))

[[1]]

Past versions of residual_patterns_by_model_domain-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
c6b3da6	jens-daniel-mueller	2021-06-14
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
27ae473	jens-daniel-mueller	2021-02-24
a1ba577	jens-daniel-mueller	2021-02-24
071743d	jens-daniel-mueller	2021-02-24

[[2]]

Past versions of residual_patterns_by_model_domain-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
27ae473	jens-daniel-mueller	2021-02-24
a1ba577	jens-daniel-mueller	2021-02-24

[[3]]

Past versions of residual_patterns_by_model_domain-3.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
c6b3da6	jens-daniel-mueller	2021-06-14
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26

[[4]]

Past versions of residual_patterns_by_model_domain-4.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26

[[5]]

Past versions of residual_patterns_by_model_domain-5.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14

[[6]]

Past versions of residual_patterns_by_model_domain-6.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14

8.6.4 Latitudinal mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lat_grid = as.numeric(as.character(cut(
    lat,
    seq(-90, 90, 10),
    seq(-85, 85, 10)
  ))))

lat_residual <- GLODAP_augmented_best %>%
  group_by(data_source, basin, gamma_slab, era, lat_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

lat_residual %>%
  group_split(basin) %>% 
  map(
  ~ggplot(data = .x,
          aes(lat_grid, .resid_mean, col=era)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ data_source) +
    labs(title = paste("Basin:", unique(.x$basin)))
  )

[[1]]

Past versions of latitudinal_residual-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
fec3558	jens-daniel-mueller	2021-02-24

[[2]]

Past versions of latitudinal_residual-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26

[[3]]

Past versions of latitudinal_residual-3.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14

8.6.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(data_source, basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, basin, gamma_slab, lat_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

lat_residual_offset %>%
  ggplot(aes(lat_grid, .resid_mean_offset, col=data_source)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ basin)

Past versions of latitudinal_residual_offset-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
06bfaf7	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
fec3558	jens-daniel-mueller	2021-02-24

8.6.6 Spatial mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lon_grid = as.numeric(as.character(cut(
    lon,
    seq(-360, 500, 10),
    seq(-355, 500, 10)
  ))))

spatial_residual <- GLODAP_augmented_best %>%
  group_by(data_source, gamma_slab, era, lat_grid, lon_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

spatial_obs <- GLODAP_augmented_best %>%
  distinct(gamma_slab, era, lat, lon)

spatial_residual %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean",
    col = "divergent",
    title_text = "Residual distribution",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat)) +
    facet_grid(era ~ .)
  )

[[1]]

Past versions of spatial_residual-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[2]]

Past versions of spatial_residual-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[3]]

Past versions of spatial_residual-3.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[4]]

Past versions of spatial_residual-4.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[5]]

Past versions of spatial_residual-5.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[6]]

Past versions of spatial_residual-6.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[7]]

Past versions of spatial_residual-7.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[8]]

Past versions of spatial_residual-8.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[9]]

Past versions of spatial_residual-9.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[10]]

Past versions of spatial_residual-10.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[11]]

Past versions of spatial_residual-11.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[12]]

Past versions of spatial_residual-12.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[13]]

Past versions of spatial_residual-13.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[14]]

Past versions of spatial_residual-14.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[15]]

Past versions of spatial_residual-15.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[16]]

Past versions of spatial_residual-16.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[17]]

Past versions of spatial_residual-17.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[18]]

Past versions of spatial_residual-18.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[19]]

Past versions of spatial_residual-19.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[20]]

Past versions of spatial_residual-20.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[21]]

Past versions of spatial_residual-21.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[22]]

Past versions of spatial_residual-22.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[23]]

Past versions of spatial_residual-23.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[24]]

Past versions of spatial_residual-24.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[25]]

Past versions of spatial_residual-25.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[26]]

Past versions of spatial_residual-26.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[27]]

Past versions of spatial_residual-27.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[28]]

Past versions of spatial_residual-28.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[29]]

Past versions of spatial_residual-29.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[30]]

Past versions of spatial_residual-30.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[31]]

Past versions of spatial_residual-31.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[32]]

Past versions of spatial_residual-32.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[33]]

Past versions of spatial_residual-33.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[34]]

Past versions of spatial_residual-34.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[35]]

Past versions of spatial_residual-35.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

8.6.7 Spatial offset

# calculate residual offset for adjacent eras
spatial_residual_offset <- spatial_residual  %>%
  select(data_source, gamma_slab, era, lat_grid, lon_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(data_source, gamma_slab, lat_grid, lon_grid) %>% 
  mutate(.resid_mean_offset = .resid_mean - lag(.resid_mean)) %>% 
  ungroup() %>% 
  drop_na()

spatial_obs <- spatial_obs %>% 
  count(lon, lat, gamma_slab) %>% 
  filter(n == 2) %>% 
  select(-n)

spatial_residual_offset %>%
  rename(lat = lat_grid,
         lon = lon_grid) %>%
  group_split(data_source, gamma_slab) %>%
  # head(1) %>%
  map(~ p_map_dcant_slab(
    df = .x,
    var = ".resid_mean_offset",
    col = "divergent",
    title_text = "Residual offset distribution (era 2 - era 1)",
    subtitle_text = paste(
      "Data source:",
      unique(.x$data_source),
      "| density slab:",
      unique(.x$gamma_slab)
      ),
    legend_title = paste(params_local$MLR_target, "\nbias offset")
  ) +
    geom_raster(data = spatial_obs,
                aes(lon, lat))
  )

[[1]]

Past versions of Spatial_residual_offset-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[2]]

Past versions of Spatial_residual_offset-2.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[3]]

Past versions of Spatial_residual_offset-3.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[4]]

Past versions of Spatial_residual_offset-4.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[5]]

Past versions of Spatial_residual_offset-5.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[6]]

Past versions of Spatial_residual_offset-6.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[7]]

Past versions of Spatial_residual_offset-7.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[8]]

Past versions of Spatial_residual_offset-8.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[9]]

Past versions of Spatial_residual_offset-9.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[10]]

Past versions of Spatial_residual_offset-10.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[11]]

Past versions of Spatial_residual_offset-11.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[12]]

Past versions of Spatial_residual_offset-12.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[13]]

Past versions of Spatial_residual_offset-13.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[14]]

Past versions of Spatial_residual_offset-14.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[15]]

Past versions of Spatial_residual_offset-15.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[16]]

Past versions of Spatial_residual_offset-16.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[17]]

Past versions of Spatial_residual_offset-17.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[18]]

Past versions of Spatial_residual_offset-18.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[19]]

Past versions of Spatial_residual_offset-19.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[20]]

Past versions of Spatial_residual_offset-20.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[21]]

Past versions of Spatial_residual_offset-21.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[22]]

Past versions of Spatial_residual_offset-22.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[23]]

Past versions of Spatial_residual_offset-23.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[24]]

Past versions of Spatial_residual_offset-24.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[25]]

Past versions of Spatial_residual_offset-25.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[26]]

Past versions of Spatial_residual_offset-26.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[27]]

Past versions of Spatial_residual_offset-27.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[28]]

Past versions of Spatial_residual_offset-28.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[29]]

Past versions of Spatial_residual_offset-29.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[30]]

Past versions of Spatial_residual_offset-30.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[31]]

Past versions of Spatial_residual_offset-31.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[32]]

Past versions of Spatial_residual_offset-32.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[33]]

Past versions of Spatial_residual_offset-33.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

[[34]]

Past versions of Spatial_residual_offset-34.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
971ce87	jens-daniel-mueller	2021-07-13
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
147cb07	jens-daniel-mueller	2021-06-29

9 VIF

GLODAP_glanced %>% 
  ggplot(aes(as.factor(n),
             log10(vif_max),
             col=data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  scale_color_brewer(palette = "Set1") +
  geom_violin() +
  facet_grid(gamma_slab~basin)

Past versions of vif_distribution_n_predictors-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
d37a85d	jens-daniel-mueller	2021-05-31
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
594d503	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
330dcd0	jens-daniel-mueller	2021-03-20

GLODAP_glanced_vif %>% 
  ggplot(aes(Variables,
             log10(VIF),
             col = data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  geom_violin() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin) +
  coord_flip()

Past versions of vif_distribution_type_predictor-1.png

Version	Author	Date
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
d37a85d	jens-daniel-mueller	2021-05-31
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
d3c3fde	jens-daniel-mueller	2021-03-26
594d503	jens-daniel-mueller	2021-03-26
2eb881a	jens-daniel-mueller	2021-03-26
03b6009	jens-daniel-mueller	2021-03-23
de6256b	jens-daniel-mueller	2021-03-23
380d215	jens-daniel-mueller	2021-03-21
33b385b	jens-daniel-mueller	2021-03-20
108d6b2	jens-daniel-mueller	2021-03-20
330dcd0	jens-daniel-mueller	2021-03-20

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] tictoc_1.0.1     gt_0.2.2         corrr_0.4.3      broom_0.7.5     
 [5] kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3      GGally_2.0.0    
 [9] lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0       scico_1.2.0     
[13] patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0    stringr_1.4.0   
[17] dplyr_1.0.5      purrr_0.3.4      readr_1.4.0      tidyr_1.1.2     
[21] tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         utf8_1.1.4               R6_2.5.0                
[10] nortest_1.0-4            DBI_1.1.0                colorspace_1.4-1        
[13] withr_2.3.0              gridExtra_2.3            tidyselect_1.1.0        
[16] curl_4.3                 compiler_4.0.3           git2r_0.27.1            
[19] cli_2.1.0                rvest_0.3.6              xml2_1.3.2              
[22] sass_0.2.0               labeling_0.4.2           scales_1.1.1            
[25] checkmate_2.0.0          goftest_1.2-2            digest_0.6.27           
[28] foreign_0.8-80           rmarkdown_2.5            rio_0.5.16              
[31] pkgconfig_2.0.3          htmltools_0.5.0          highr_0.8               
[34] dbplyr_1.4.4             rlang_0.4.10             readxl_1.3.1            
[37] rstudioapi_0.11          farver_2.0.3             generics_0.0.2          
[40] jsonlite_1.7.1           zip_2.1.1                car_3.0-10              
[43] magrittr_1.5             Matrix_1.2-18            Rcpp_1.0.5              
[46] munsell_0.5.0            fansi_0.4.1              abind_1.4-5             
[49] lifecycle_1.0.0          stringi_1.5.3            whisker_0.4             
[52] yaml_2.2.1               carData_3.0-4            MASS_7.3-53             
[55] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[58] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[61] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[64] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[67] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[70] modelr_0.1.8             vctrs_0.3.5              tweenr_1.0.2            
[73] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[76] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[79] openxlsx_4.2.3           xfun_0.18                RcppEigen_0.3.3.7.0     
[82] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[85] here_0.1