eMLR - model fitting

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Last updated: 2021-07-23

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

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html	2477316	jens-daniel-mueller	2021-07-23	rebuild: surface dcant mapping seperate
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html	426b2df	jens-daniel-mueller	2021-07-21	Build site.
html	971ce87	jens-daniel-mueller	2021-07-13	Build site.
Rmd	89d9fcb	jens-daniel-mueller	2021-07-13	complete revision
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Rmd	795a3b0	jens-daniel-mueller	2021-07-09	complete revision
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html	1cbf907	jens-daniel-mueller	2021-07-02	Build site.
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Rmd	af271b5	jens-daniel-mueller	2021-06-29	plot spatial residual ditribution
html	147cb07	jens-daniel-mueller	2021-06-29	Build site.
Rmd	80ae560	jens-daniel-mueller	2021-06-29	plot spatial residual ditribution
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html	be90356	jens-daniel-mueller	2021-06-02	Build site.
html	d37a85d	jens-daniel-mueller	2021-05-31	Build site.
html	4b7a5ee	jens-daniel-mueller	2021-05-28	Build site.
Rmd	a61014f	jens-daniel-mueller	2021-05-28	test run with cstar target variable
html	12b455a	jens-daniel-mueller	2021-05-27	Build site.
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
html	25bd183	jens-daniel-mueller	2021-05-26	Build site.
Rmd	e2b3434	jens-daniel-mueller	2021-05-26	generate seperate output
html	b79cb2d	jens-daniel-mueller	2021-05-20	Build site.
Rmd	8adf952	jens-daniel-mueller	2021-05-20	parallelisation tested, not succesful
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html	50290e8	jens-daniel-mueller	2021-04-16	overlapping eras
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html	a79ca2c	jens-daniel-mueller	2021-04-09	included model data
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Rmd	e4ef0f6	jens-daniel-mueller	2021-03-26	included model data
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Rmd	6d2102a	jens-daniel-mueller	2021-03-26	included model data
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Rmd	a9e976a	jens-daniel-mueller	2021-03-26	included model data
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Rmd	6c5618b	jens-daniel-mueller	2021-03-20	rerun with vif threshold
html	108d6b2	jens-daniel-mueller	2021-03-20	Build site.
Rmd	2b99ba0	jens-daniel-mueller	2021-03-20	included vif removel option
html	330dcd0	jens-daniel-mueller	2021-03-20	Build site.
Rmd	4df8990	jens-daniel-mueller	2021-03-20	added vif calculation and plots
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Rmd	c9cf1fd	jens-daniel-mueller	2021-03-04	rebuild with NA in Cant replaced by 0
html	27ae473	jens-daniel-mueller	2021-02-24	Build site.
Rmd	7f77d91	jens-daniel-mueller	2021-02-24	removed log10 color scale
html	fec3558	jens-daniel-mueller	2021-02-24	Build site.
Rmd	9ebedac	jens-daniel-mueller	2021-02-24	latitudinal residual plots
html	4bc00ea	jens-daniel-mueller	2021-02-24	Build site.
Rmd	de11bfe	jens-daniel-mueller	2021-02-24	clean up purrr approach and residual plots
html	42eca5d	jens-daniel-mueller	2021-02-24	Build site.
Rmd	06a2f3b	jens-daniel-mueller	2021-02-24	purrr residual plots by basin
html	a1ba577	jens-daniel-mueller	2021-02-24	Build site.
Rmd	9ae7d87	jens-daniel-mueller	2021-02-24	loop residual plots by basin
html	071743d	jens-daniel-mueller	2021-02-24	Build site.
Rmd	c45672c	jens-daniel-mueller	2021-02-24	added residual plots
html	ac1a836	jens-daniel-mueller	2021-02-24	Build site.
Rmd	5f655e0	jens-daniel-mueller	2021-02-24	added plots back to after switching to map aproach
html	b03fbd3	jens-daniel-mueller	2021-02-24	Build site.
Rmd	c69736b	jens-daniel-mueller	2021-02-24	added plots back to after switching to map aproach
html	86406d5	jens-daniel-mueller	2021-02-24	Build site.
Rmd	1b3c171	jens-daniel-mueller	2021-02-24	introduced purrr::map to model fitting, rebuild all
html	3d3b4cc	jens-daniel-mueller	2021-02-23	Build site.
Rmd	cbfc388	jens-daniel-mueller	2021-02-23	introduced purrr::map to model fitting
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html	33ba23c	jens-daniel-mueller	2021-01-07	Build site.
Rmd	0ad30ba	jens-daniel-mueller	2021-01-07	removed GLODAP gamma filter, target variable mapped by eras+era
html	318609d	jens-daniel-mueller	2020-12-23	adapted more variable predictor selection
html	9d0b2d0	jens-daniel-mueller	2020-12-23	Build site.
html	0aa2b50	jens-daniel-mueller	2020-12-23	remove html before duplication
html	39113c3	jens-daniel-mueller	2020-12-23	Build site.
Rmd	bef9220	jens-daniel-mueller	2020-12-23	rebuild before sensitivity test
html	2886da0	jens-daniel-mueller	2020-12-19	Build site.
html	02f0ee9	jens-daniel-mueller	2020-12-18	cleaned up for copying template
html	965dba3	jens-daniel-mueller	2020-12-18	Build site.
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Rmd	ca65bf5	jens-daniel-mueller	2020-12-18	rebuild after final cleaning
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html	d397028	jens-daniel-mueller	2020-12-18	Build site.
Rmd	7e1b1c0	jens-daniel-mueller	2020-12-18	rebuild without na predictors
html	7131186	jens-daniel-mueller	2020-12-17	Build site.
Rmd	737d904	jens-daniel-mueller	2020-12-17	rebuild without na predictors
html	22b07fb	jens-daniel-mueller	2020-12-17	Build site.
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Rmd	40369db	jens-daniel-mueller	2020-12-17	model selection criterion added
html	5b48ef5	jens-daniel-mueller	2020-12-17	Build site.
Rmd	e6ed2bc	jens-daniel-mueller	2020-12-17	plotted model results
html	f3a708f	jens-daniel-mueller	2020-12-17	Build site.
Rmd	7c8ace9	jens-daniel-mueller	2020-12-17	new MLR fitting routine, rmse corrected
html	e4ca289	jens-daniel-mueller	2020-12-16	Build site.
Rmd	3d5a3e2	jens-daniel-mueller	2020-12-16	new MLR fitting routine
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Rmd	d7992c4	jens-daniel-mueller	2020-12-15	eMLR target variable selection
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Rmd	923aa7f	jens-daniel-mueller	2020-12-14	rebuild with new path and auto folder creation
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Rmd	91b2b29	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
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Rmd	71c63b0	jens-daniel-mueller	2020-12-09	rerun with variable predictor assignment
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Rmd	992ba15	jens-daniel-mueller	2020-12-03	rebuild with variable inventory depth
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Rmd	83203db	jens-daniel-mueller	2020-12-03	calculate cant with variable inventory depth
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Rmd	9183e8f	jens-daniel-mueller	2020-12-02	revised assignment of era to eras
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Rmd	17d09be	jens-daniel-mueller	2020-12-01	auto eras naming
html	cf19652	jens-daniel-mueller	2020-11-30	Build site.
Rmd	0895ad6	jens-daniel-mueller	2020-11-30	rebuild with all plot output
Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
html	196be51	jens-daniel-mueller	2020-11-30	Build site.
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, nitrate, silicate, phosphate, phosphate_star

# 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 + nitrate + phosphate + phosphate_star	3112.7622	3141.5579	7.4550804	14.9798514	5663.3707	5719.5420
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3188.5067	3217.3024	8.1066433	16.0902201	5782.7946	5838.9659
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 + phosphate_star	1284.6265	1309.3878	2.9514445	10.2633459	3636.8176	3688.4431
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3104.7807	3133.5764	7.3895485	14.8663160	5650.6661	5706.8375
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
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3178.4630	3207.2588	8.0170751	15.9437506	5767.4721	5823.6435
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1283.1915	1307.9529	2.9431192	9.9951455	3610.5574	3662.1829
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3177.6435	3206.4392	8.0098101	15.9311947	5766.1598	5822.3312
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3102.9004	3131.6962	7.3741945	14.8396745	5647.6708	5703.8422
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
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1272.1051	1296.8664	2.8795851	9.9579110	3602.0246	3653.6500
mod	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1285.1208	1309.8822	2.9543180	10.0108991	3612.9297	3664.5551
obs	Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3176.5164	3205.3121	7.9998299	15.9164710	5764.5907	5820.7620
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6915.3624	6945.0270	6.7503019	13.6419672	12875.6327	12934.0311
mod	Atlantic	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4196.0251	4227.7616	5.0547271	10.1787045	8789.3293	8853.4064
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6871.7907	6906.3993	6.6035962	13.4872699	12832.0004	12900.1318
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + phosphate + phosphate_star	6913.3633	6938.0837	6.7503047	13.6900437	12883.9793	12932.6446
obs	Atlantic	(26,26.5]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6870.0926	6899.7572	6.6045575	13.5252145	12837.8185	12896.2168
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
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4124.2726	4156.0091	4.7978994	9.6701753	8642.0222	8706.0992
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6808.8342	6843.4428	6.4061551	13.5967132	12846.5064	12914.6379
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
obs	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6828.7617	6863.3703	6.4680037	13.7136699	12879.9932	12948.1246
mod	Atlantic	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	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 + phosphate_star	4183.8507	4211.0534	5.0174894	10.0507207	8748.3517	8803.2749
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4185.5524	4217.2890	5.0164020	10.0608478	8755.3919	8819.4689
obs	Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6884.7986	6919.4072	6.6451434	13.7030838	12889.4097	12957.5411
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4185.8455	4217.5820	5.0174706	10.0504475	8752.2708	8816.3478
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4186.5422	4213.7450	5.0273136	10.0613281	8751.2767	8806.1999
mod	Atlantic	(26,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4188.4972	4220.2337	5.0271489	10.0611426	8755.2254	8819.3025
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
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4691.5473	4724.5124	4.1921949	7.8294390	8917.1434	8982.6966
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7725.0966	7760.5976	6.3854546	12.4594246	14288.1330	14358.0994
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 + aou + silicate + phosphate_star	4742.5888	4775.5539	4.3247196	7.9001022	8941.5275	9007.0807
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7712.5563	7748.0573	6.3515569	12.4361424	14279.1409	14349.1073
mod	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4703.6066	4736.5718	4.2231348	7.8023374	8904.2047	8969.7579
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7724.2953	7759.7964	6.3832833	12.4573041	14287.3487	14357.3151
obs	Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	4689.9867	4718.2425	4.1933184	7.8420233	8918.4718	8974.6602
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
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4670.7384	4703.7035	4.1393390	7.6433437	8838.3396	8903.8928
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7703.1974	7738.6984	6.3263763	12.4164076	14271.5999	14341.5663
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	7713.7918	7744.2212	6.3602855	12.4882739	14292.8197	14352.7909
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate_star	7721.2094	7751.6389	6.3803418	12.4948451	14295.7609	14355.7321
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4702.1672	4730.4231	4.2245787	7.8080698	8902.6262	8958.8146
mod	Atlantic	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4679.8928	4712.8579	4.1625090	7.6354743	8833.6669	8899.2201
obs	Atlantic	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7712.1500	7747.6510	6.3504616	12.4392213	14280.1281	14350.0945
mod	Atlantic	(26.75,27]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5805.3169	5841.2332	2.4536782	5.1775717	11164.8867	11235.8498
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_star	7935.4486	7971.6124	5.1527771	11.5192484	15064.9335	15136.0420
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	6038.0652	6073.9815	2.6930855	5.1289262	11150.8461	11221.8093
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6057.2053	6093.1216	2.7137830	5.2199919	11232.8684	11303.8316
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7871.2720	7907.4358	5.0266673	11.4713190	15027.3155	15098.4240
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7933.7653	7969.9292	5.1494294	11.5355727	15069.9636	15141.0721
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7872.2979	7908.4618	5.0286590	11.4652836	15025.6295	15096.7380
mod	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6066.6026	6102.5189	2.7240031	5.2713720	11278.2337	11349.1968
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7871.2465	7907.4104	5.0266180	11.4709916	15027.1962	15098.3047
obs	Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate_star	7874.6045	7905.6021	5.0370273	11.4816980	15028.6544	15089.6046
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate_star	7935.3641	7966.3617	5.1565896	11.5331577	15066.2974	15127.2475
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5767.5937	5803.5100	2.4169319	4.7759087	10809.5773	10880.5405
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5775.7197	5811.6360	2.4248007	4.7665858	10801.5530	10872.5161
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7878.4445	7914.6083	5.0406070	11.4121833	15009.6735	15080.7821
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate	6220.1843	6250.9696	2.8989111	5.4843224	11462.5457	11523.3713
mod	Atlantic	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5803.8115	5839.7278	2.4522012	4.8435535	10875.8926	10946.8557
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7878.3619	7914.5258	5.0404463	11.4263664	15014.4841	15085.5927
obs	Atlantic	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	7876.4719	7907.4695	5.0406605	11.5241653	15043.5946	15104.5448
mod	Atlantic	(27,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6744.9621	6781.7017	2.6504197	5.5964965	12912.5168	12985.0654
obs	Atlantic	(27,27.25]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	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
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6634.7625	6671.5020	2.5485611	5.5938362	12883.8508	12956.3994
mod	Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	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
obs	Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	11169.1432	11207.3546	6.0242931	11.9361122	20253.0850	20328.1003
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 + nitrate + phosphate + phosphate_star	11173.5885	11211.7999	6.0320156	11.9475548	20259.3156	20334.3309
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate	11191.2440	11223.9966	6.0662803	12.0786596	20321.0543	20385.3531
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + phosphate_star	11167.3212	11200.0737	6.0246021	12.0233038	20290.6679	20354.9668
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
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6308.3059	6345.0455	2.2692170	4.7970268	12098.8763	12171.4249
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	11148.8383	11187.0496	5.9891445	11.9377885	20250.4033	20325.4186
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	11171.6113	11204.3639	6.0320551	12.0230171	20291.2940	20355.5928
mod	Atlantic	(27,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6259.8458	6296.5854	2.2304459	4.7961660	12087.0653	12159.6139
obs	Atlantic	(27,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	11152.9504	11191.1618	5.9962462	11.9412290	20252.7682	20327.7835
obs	Atlantic	(27.25,27.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	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
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	9549.2063	9587.4899	3.6720269	7.1708158	18325.2520	18401.3527
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
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	12918.1222	12957.3669	5.9861347	11.2515261	23133.3936	23210.5235
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
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	9767.1536	9805.4372	3.9075395	7.5699685	18693.1272	18769.2279
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 + aou + silicate + phosphate_star	13002.4974	13041.7421	6.1130407	11.4036402	23233.5871	23310.7170
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	12909.1377	12948.3824	5.9727775	11.2385821	23124.6690	23201.7988
mod	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	9755.9175	9794.2011	3.8950367	7.5062013	18635.6554	18711.7562
obs	Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12995.3684	13034.6131	6.1022150	11.3936560	23226.9849	23304.1148
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
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	9484.9048	9523.1883	3.6052942	6.8323968	17995.8209	18071.9217
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	12905.6141	12944.8589	5.9675472	11.2853130	23153.6669	23230.7968
mod	Atlantic	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	9363.6570	9401.9406	3.4827439	6.6378742	17800.5931	17876.6939
obs	Atlantic	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	12889.4051	12928.6498	5.9435458	11.2583990	23135.6434	23212.7732
obs	Atlantic	(27.5,27.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	10222.0898	10254.4567	5.5776401	11.1949502	19982.9433	20047.3863
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + phosphate + phosphate_star	12634.4084	12668.9456	3.6066364	6.6879503	24136.4430	24205.3135
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 + aou + silicate + phosphate + phosphate_star	11703.0038	11743.2971	2.9534933	5.8627361	22947.5343	23027.8833
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 + aou + silicate + phosphate_star	12132.0316	12172.3250	3.2375544	6.3581308	23693.2460	23773.5950
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10250.0160	10287.7775	5.6222575	11.2656887	20027.2515	20102.4350
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12145.8195	12186.1128	3.2471231	6.3844811	23731.2547	23811.6037
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12106.2532	12146.5465	3.2197399	6.3276653	23649.1223	23729.4713
obs	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10234.7514	10272.5129	5.5959450	11.2226896	20002.8071	20077.9906
mod	Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	12368.0463	12402.5835	3.4067650	6.6603889	24115.8114	24184.6820
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 + nitrate + silicate + phosphate_star	10257.8260	10295.5875	5.6357678	11.2892075	20040.5544	20115.7379
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 + aou + silicate + phosphate_star	10255.8556	10288.2226	5.6358190	11.2932586	20038.7765	20103.2195
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10239.0299	10276.7914	5.6033077	11.2353056	20009.9786	20085.1621
obs	Atlantic	(27.5,27.75]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	10237.3107	10269.6776	5.6037911	11.2392608	20008.1697	20072.6127
mod	Atlantic	(27.75,27.85]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	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
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 + nitrate + silicate + phosphate + phosphate_star	9242.1733	9279.2196	5.5958913	11.0593923	17360.4469	17433.6841
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	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 + aou + silicate + phosphate_star	6992.9890	7030.4065	2.3020537	5.0116749	13727.5982	13801.6802
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	9238.9689	9276.0152	5.5897913	11.0575822	17359.2832	17432.5204
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7012.7723	7050.1899	2.3168012	5.0396789	13760.9589	13835.0409
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6980.3840	7017.8016	2.2927062	4.9894970	13701.7888	13775.8708
obs	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9237.8864	9274.9328	5.5877322	11.0380428	17349.8753	17423.1125
mod	Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate_star	7109.5214	7141.5935	2.3918391	5.1926046	13934.1701	13997.6690
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	9270.3083	9307.3547	5.6497364	11.1269562	17395.1024	17468.3396
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	6984.7420	7016.8142	2.2974163	4.9203920	13626.9379	13690.4367
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	7102.9629	7135.0350	2.3867809	5.1392136	13879.1836	13942.6824
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	9268.8723	9300.6263	5.6508210	11.1283483	17391.8123	17454.5871
obs	Atlantic	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	9284.5264	9321.5727	5.6771438	11.1505437	17407.5065	17480.7437
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	7119.4078	7151.4799	2.3994841	5.1622470	13906.0500	13969.5488
mod	Atlantic	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	7091.7952	7123.8674	2.3781925	5.1194235	13856.6707	13920.1696
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
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	12754.7136	12794.0791	5.4446193	11.1575545	24732.4784	24810.6616
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_star	12756.8854	12790.6273	5.4501730	11.1631397	24732.6712	24799.6853
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	12896.8869	12936.2524	5.6371129	11.4743335	24956.0903	25034.2735
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	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
mod	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6692.1692	6728.6397	2.8547184	6.1693644	12851.5646	12923.5124
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12705.7499	12745.1154	5.3798587	11.0794517	24674.6670	24752.8503
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 + nitrate + silicate + phosphate_star	6701.5367	6738.0072	2.8646179	6.2214086	12890.5980	12962.5458
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 ~ sal + temp + silicate + phosphate + phosphate_star	6681.5440	6718.0146	2.8435313	6.1438800	12830.7897	12902.7375
obs	Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12703.7651	12743.1306	5.3772500	11.0590887	24660.8767	24739.0599
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate	6758.2006	6789.4610	2.9273985	6.3362599	12981.4046	13043.0741
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate_star	6805.0203	6836.2808	2.9784897	6.4405345	13064.5739	13126.2434
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6818.6835	6849.9440	2.9935667	6.4987047	13107.2829	13168.9524
mod	Atlantic	(27.85,27.95]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6793.4417	6824.7022	2.9657723	6.4121815	13042.3670	13104.0365
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
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	14016.0995	14056.3115	5.0185022	11.8352230	28952.3768	29032.5728
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate_star	14023.3603	14057.8277	5.0285763	11.8466602	28958.5314	29027.2708
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	14123.0219	14163.2339	5.1360531	12.0176053	29101.6108	29181.8068
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	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 + phosphate_star	7459.5170	7490.7464	3.8481721	8.9310448	15065.2860	15127.2863
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
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7311.8602	7348.2945	3.6400779	8.6011873	14859.1566	14931.4903
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14012.5647	14052.7767	5.0146623	11.8326901	28949.6990	29029.8950
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
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7300.0051	7336.4394	3.6240829	8.7542528	14930.8740	15003.2077
mod	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + phosphate + phosphate_star	7454.1063	7485.3357	3.8404454	8.8748944	15036.0014	15098.0018
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 ~ sal + temp + silicate + phosphate + phosphate_star	7311.8873	7348.3216	3.6401146	8.5290931	14822.6566	14894.9904
obs	Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14033.2215	14073.4335	5.0371436	11.8780417	28985.3248	29065.5207
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 + aou + silicate + phosphate_star	7498.4513	7529.6807	3.9042325	8.8743586	15048.2764	15110.2767
mod	Atlantic	(27.95,28.05]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	7499.0988	7530.3281	3.9051716	8.7957450	15008.6815	15070.6818
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
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	12214.7851	12254.0680	4.9434855	11.2782961	24994.9291	25073.2590
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	12212.5533	12251.8362	4.9407580	11.2638807	24985.4765	25063.8064
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	12230.4210	12264.0921	4.9650911	11.3348407	25030.0709	25097.2108
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	12264.0423	12303.3252	5.0040669	11.3119777	25027.5477	25105.8776
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 + phosphate_star	3129.4660	3158.3992	1.3218439	2.8093096	6308.5914	6366.1494
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
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3098.8733	3132.6287	1.2985856	2.7752248	6267.2587	6334.4096
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12236.0618	12275.3447	4.9695631	11.2482066	24981.3834	25059.7133
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	12254.5002	12293.7831	4.9922733	11.2960254	25015.4269	25093.7568
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + phosphate_star	12272.9336	12306.6046	5.0175620	11.3268407	25035.2868	25102.4267
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12184.1475	12223.4304	4.9061748	11.1619624	24915.2097	24993.5397
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + phosphate + phosphate_star	3116.9802	3145.9133	1.3128852	2.7963753	6291.4383	6348.9962
mod	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3091.7071	3125.4624	1.2935269	2.7644705	6253.3526	6320.5035
obs	Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate_star	3124.1816	3153.1147	1.3180448	2.8163255	6315.9413	6373.4993
mod	Atlantic	(28.05,28.1]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3115.5906	3144.5238	1.3118919	2.8044539	6300.6811	6358.2390
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 + phosphate_star	3481.5059	3512.1847	0.9937464	2.3243169	7949.1901	8010.9219
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
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3483.3103	3519.1023	0.9936672	2.2694381	7843.0569	7915.0773
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10970.8170	11009.2974	5.0508552	13.7664979	23256.6314	23333.2298
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	10999.7066	11038.1871	5.0914829	13.7949342	23280.7282	23357.3266
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10952.3300	10990.8105	5.0250272	13.7273758	23232.9178	23309.5162
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + phosphate + phosphate_star	3468.4002	3499.0791	0.9884577	2.3163741	7930.8650	7992.5968
mod	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3470.3947	3506.1867	0.9884554	2.2575219	7816.3681	7888.3885
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10978.5121	11016.9926	5.0616452	13.7765996	23264.0562	23340.6545
obs	Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate_star	10990.9564	11023.9396	5.0819609	13.7977904	23274.8442	23340.5000
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	10960.9029	10999.3834	5.0369878	13.7296953	23237.6952	23314.2936
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
mod	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate_star	3517.2431	3547.9219	1.0083121	2.2959731	7899.2392	7960.9710
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + aou + silicate + phosphate_star	10977.7949	11010.7781	5.0634460	13.7792000	23261.6530	23327.3088
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10959.8107	10998.2912	5.0354625	13.7247255	23235.2460	23311.8444
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	10958.9087	10991.8919	5.0369959	13.7393453	23237.4968	23303.1525
mod	Atlantic	(28.1,28.15]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3502.5796	3533.2584	1.0023099	2.2825553	7869.4783	7931.2101
obs	Atlantic	(28.1,28.15]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	10984.5484	11017.5317	5.0729381	13.7880313	23268.1470	23333.8028
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate	5121.6537	5155.3543	0.8507458	1.7064231	10420.8920	10488.4707
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
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5316.0720	5355.3895	0.8919949	1.8029074	10879.1594	10958.0014
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 + aou + silicate + phosphate_star	4787.2042	4820.1779	4.4282602	11.3105310	10619.8321	10686.1772
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + phosphate_star	5138.5299	5172.2306	0.8542860	1.7563067	10658.5554	10726.1342
mod	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	5135.3691	5174.6866	0.8532019	1.7256629	10517.9196	10596.7615
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4798.5076	4831.4812	4.4588491	11.3986883	10645.6130	10711.9580
obs	Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + phosphate_star	5014.4417	5048.1423	0.8285958	1.6630345	10208.4687	10276.0475
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 + nitrate + silicate + phosphate_star	4785.6397	4818.6133	4.4240429	11.5109377	10669.1886	10735.5337
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + silicate + phosphate_star	4791.8388	4820.1019	4.4461890	11.5468468	10676.7597	10733.6269
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5046.3888	5080.0894	0.8351351	1.6776997	10280.9831	10348.5619
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4786.5317	4819.5053	4.4264468	11.5411682	10676.8915	10743.2365
mod	Atlantic	(28.15,28.2]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5178.2881	5211.9888	0.8626845	1.7367264	10566.4160	10633.9948
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4802.4366	4830.6997	4.4749785	11.6344753	10701.7000	10758.5672
obs	Atlantic	(28.15,28.2]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4793.9581	4822.2213	4.4519315	11.5723594	10683.7114	10740.5786
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate	3980.1771	4008.7527	0.5865315	1.1664266	7035.2988	7091.1883
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate	3878.3827	3905.6115	3.9698703	8.0164592	8256.4425	8311.5885
mod	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + phosphate_star	3840.4514	3874.7421	0.5682830	1.1308695	6792.0008	6859.0683
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 + nitrate + silicate + phosphate_star	3326.1477	3366.1536	0.5064755	1.0545442	6188.6103	6266.8556
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + phosphate	3876.7893	3899.4800	3.9710386	8.0219412	8254.5006	8300.4556
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
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3882.0244	3913.7914	3.9745891	7.9280711	8226.0040	8290.3411
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3894.0175	3925.7845	4.0092310	8.0157542	8258.6542	8322.9912
obs	Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3872.1163	3903.8832	3.9461955	7.9133167	8221.4340	8285.7711
mod	Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + phosphate	4856.9162	4891.2069	0.7128753	1.4460348	8731.0923	8798.1598
mod	Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + phosphate_star	4890.7101	4925.0008	0.7182682	1.4553981	8783.7027	8850.7702
mod	Atlantic	(28.2, Inf]	cstar_tref ~ temp + aou + nitrate + silicate	4320.3836	4354.6743	0.6324819	1.3502049	8120.4216	8187.4891
mod	Atlantic	(28.2, Inf]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4926.4485	4960.7392	0.7240159	1.4663755	8844.0722	8911.1397
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1593.9744	1620.2646	2.9476874	5.6336569	3480.6050	3534.6403
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1590.9158	1617.2060	2.9334563	5.5733121	3464.0735	3518.1087
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate	1601.4049	1623.9394	2.9920020	5.7151706	3496.7365	3543.0525
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate_star	1597.6059	1620.1404	2.9740705	5.6505670	3479.4878	3525.8037
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 + aou + silicate + phosphate_star	1399.3931	1425.6833	2.1665568	4.6268496	3217.7454	3271.7807
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1819.9815	1846.2495	4.2533153	9.6418732	4459.3025	4513.9021
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1590.7747	1617.0649	2.9328017	5.5677413	3462.4822	3516.5174
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1495.3140	1521.6041	2.5216480	5.3048108	3409.5996	3463.6348
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1813.4778	1839.7458	4.2096327	9.5257601	4441.3501	4495.9497
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1597.4562	1619.9907	2.9733663	5.6435266	3477.4942	3523.8101
mod	Indian	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1399.9950	1426.2852	2.1686212	4.6210348	3215.8518	3269.8870
obs	Indian	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1820.8481	1847.1161	4.2591700	9.6475780	4460.1456	4514.7452
obs	Indian	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1855.2558	1881.5238	4.4982561	9.9086310	4497.9952	4552.5948
obs	Indian	(-Inf,26]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1852.7371	1879.0051	4.4803080	9.8682463	4491.9608	4546.5605
obs	Indian	(-Inf,26]	cstar_tref ~ temp + aou + silicate + phosphate_star	1854.0072	1876.5226	4.5036242	9.9319307	4497.5458	4544.3455
obs	Indian	(-Inf,26]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1852.4471	1878.7151	4.4782459	9.8631412	4491.1929	4545.7925
obs	Indian	(-Inf,26]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1853.6372	1876.1526	4.5009799	9.9139270	4494.7787	4541.5783
obs	Indian	(-Inf,26]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1853.6068	1876.1223	4.5007628	9.9239953	4496.3543	4543.1540
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1713.4746	1739.9398	3.3324491	12.4037227	5525.4803	5581.7759
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1711.9450	1738.4102	3.3245919	12.3899354	5523.2653	5579.5610
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1001.7701	1027.8123	1.2218386	3.1742280	2681.9882	2735.9531
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1001.5314	1027.5736	1.2213605	3.1713679	2680.7752	2734.7401
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1711.6952	1738.1604	3.3233105	12.3842846	5522.5103	5578.8059
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1735.5976	1758.2821	3.4588438	12.6807112	5562.8585	5611.1119
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1063.5216	1089.5638	1.3520051	3.4636259	2806.3043	2860.2693
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1737.5140	1763.9792	3.4583972	12.6768971	5566.3921	5622.6877
mod	Indian	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1001.5466	1027.5888	1.2213910	3.1711698	2680.6969	2734.6618
obs	Indian	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1740.8335	1767.2987	3.4761592	12.6856742	5568.6897	5624.9853
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 + nitrate + silicate + phosphate_star	994.5724	1020.6145	1.2075061	3.2076535	2694.0756	2748.0405
obs	Indian	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1699.5550	1726.0202	3.2616282	12.2741490	5504.7509	5561.0465
mod	Indian	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	1021.3706	1043.6925	1.2658798	3.3613612	2756.0306	2802.2863
mod	Indian	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	1011.6639	1033.9857	1.2458957	3.3221375	2738.9633	2785.2189
obs	Indian	(26,26.5]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1758.8576	1781.5421	3.5852544	12.6729986	5570.7644	5619.0178
mod	Indian	(26,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	994.0713	1020.1134	1.2065145	3.2052108	2692.9953	2746.9602
obs	Indian	(26,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1700.0331	1726.4983	3.2640359	12.2752112	5505.0726	5561.3682
mod	Indian	(26,26.5]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1011.3597	1033.6816	1.2452746	3.3198540	2738.0199	2784.2755
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 + nitrate + phosphate_star	2183.0203	2210.8370	3.8214476	7.8491598	6055.2724	6114.8052
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
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	798.8691	824.0060	1.0464145	2.5410809	2269.5424	2322.6195
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2187.8510	2215.6676	3.8450061	7.8687760	6058.7595	6118.2923
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2183.0426	2210.8593	3.8215559	7.8492593	6055.2916	6114.8244
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate_star	2181.7944	2205.6373	3.8252131	7.8546939	6052.6488	6103.6769
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	737.6076	762.7445	0.9333974	2.4420655	2215.7402	2268.8174
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2171.3287	2199.1453	3.7650247	7.7891110	6042.3450	6101.8778
mod	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	798.7235	823.8604	1.0461302	2.5405527	2269.2662	2322.3433
obs	Indian	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2187.8688	2215.6855	3.8450934	7.8688712	6058.7800	6118.3128
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 + nitrate + silicate + phosphate_star	723.8056	748.9426	0.9096692	2.3879750	2185.6739	2238.7510
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2157.4532	2185.2699	3.6991430	7.7803766	6047.8167	6107.3495
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate_star	797.5849	819.1308	1.0478127	2.5843633	2288.3677	2333.8624
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	723.8126	748.9495	0.9096810	2.3870341	2185.1650	2238.2422
obs	Indian	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2155.6441	2183.4607	3.6906385	7.7716785	6045.9425	6105.4753
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	738.4730	760.0189	0.9384005	2.4711227	2227.2601	2272.7548
mod	Indian	(26.5,26.75]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	797.5474	819.0933	1.0477395	2.5840452	2288.2027	2333.6975
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 + aou + silicate + phosphate_star	1163.5941	1190.5394	1.2681220	2.5318496	2959.5326	3016.5059
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3516.2193	3546.9156	4.6368201	8.8372081	9312.6571	9377.7982
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1146.5599	1173.5052	1.2373749	2.4950542	2937.3267	2994.3000
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3517.5316	3548.2280	4.6419538	8.8708671	9327.6818	9392.8228
mod	Indian	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1163.3037	1190.2490	1.2675916	2.5318511	2959.6960	3016.6693
obs	Indian	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + nitrate + silicate + phosphate_star	1097.0044	1123.9496	1.1521001	2.4903324	2954.6949	3011.6682
obs	Indian	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3515.7316	3546.4280	4.6349139	8.8408269	9314.8326	9379.9737
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 + aou + silicate + phosphate_star	1161.7300	1184.8260	1.2683704	2.7061407	3094.7605	3143.5948
obs	Indian	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate_star	3514.2210	3540.5322	4.6368270	8.8437910	9311.8283	9367.6635
mod	Indian	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1096.7196	1123.6649	1.1516275	2.4896782	2954.2639	3011.2372
obs	Indian	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3515.7256	3546.4220	4.6348905	8.8403273	9314.5972	9379.7383
mod	Indian	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1145.3404	1168.4364	1.2387674	2.5782654	3002.0501	3050.8844
mod	Indian	(26.75,27]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1161.5237	1184.6196	1.2679934	2.7072252	3095.6495	3144.4837
obs	Indian	(26.75,27]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3514.1984	3540.5096	4.6367385	8.8433684	9311.6448	9367.4799
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 + nitrate + silicate + phosphate_star	2562.9059	2591.9303	3.7064807	8.4370725	7143.4168	7204.9476
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 + nitrate + silicate + phosphate + phosphate_star	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 + phosphate_star	1964.1429	1992.6542	2.2882101	4.4169640	5526.8866	5588.3288
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
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2562.9006	2591.9249	3.7064595	8.5101632	7166.9690	7228.4998
mod	Indian	(27,27.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1964.4817	1992.9930	2.2891032	4.4177952	5527.1779	5588.6201
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2565.8308	2594.8551	3.7181060	8.4980729	7162.2905	7223.8213
mod	Indian	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1941.8889	1970.4002	2.2302901	4.3190296	5473.6638	5535.1060
obs	Indian	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + phosphate_star	1989.4268	2013.8651	2.3612780	4.4902243	5550.3181	5602.9828
mod	Indian	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1962.6558	1991.1672	2.2842932	4.2466287	5392.5524	5453.9946
mod	Indian	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1958.0118	1986.5231	2.2721044	4.2297226	5383.9805	5445.4228
mod	Indian	(27,27.25]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1990.1905	2014.6288	2.3633564	4.4922525	5551.0433	5603.7081
mod	Indian	(27,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1957.9549	1986.4662	2.2719553	4.2277565	5382.4081	5443.8503
mod	Indian	(27,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1956.0939	1980.5321	2.2723191	4.3824378	5502.4881	5555.1528
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 ~ nitrate + silicate + phosphate + phosphate_star	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 + nitrate + silicate + phosphate + phosphate_star	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 + phosphate_star	1984.2712	2013.4877	1.8840567	3.6545310	5365.6659	5428.0661
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 + phosphate_star	1983.8166	2013.0331	1.8831647	3.6542401	5365.7857	5428.1858
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
obs	Indian	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + phosphate_star	1993.3394	2018.3821	1.9059044	3.6784715	5374.7330	5428.2188
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
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1995.0721	2024.2886	1.9053739	3.6778499	5378.3787	5440.7789
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 + phosphate + phosphate_star	1993.6901	2018.7328	1.9066008	3.6798345	5375.7198	5429.2057
mod	Indian	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1995.4385	2024.6550	1.9061012	3.6792893	5379.4248	5441.8249
obs	Indian	(27.25,27.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3297.4811	3328.1300	3.9290467	8.1692314	8924.0300	8988.8918
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
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 + nitrate + silicate + phosphate + phosphate_star	2559.8755	2591.0398	1.8019145	3.3339285	6589.7308	6655.8399
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	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
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3711.5272	3743.1094	3.7739036	7.7822754	9076.2861	9141.8856
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 + phosphate + phosphate_star	2459.2132	2490.3775	1.6643972	3.2001788	6494.4132	6560.5222
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
mod	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2486.2623	2517.4266	1.7002837	3.3545715	6683.2069	6749.3159
obs	Indian	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + phosphate + phosphate_star	2458.5736	2485.2859	1.6661838	3.2190660	6515.8690	6572.5339
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate	2534.3742	2561.0864	1.7688251	3.2959276	6555.2423	6611.9071
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2452.9377	2484.1020	1.6561803	3.1733186	6461.5611	6527.6701
obs	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3709.2328	3740.8150	3.7674760	7.7690771	9070.7694	9136.3689
mod	Indian	(27.5,27.75]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2487.1569	2513.8692	1.7041696	3.3832780	6714.5073	6771.1722
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 ~ sal + aou + silicate + phosphate_star	1540.1133	1564.7821	1.3167946	2.6672371	3924.8452	3976.7341
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1590.3538	1615.0226	1.3922197	2.8410356	4072.1193	4124.0082
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1508.6490	1533.3178	1.2716530	2.5332904	3799.5106	3851.3996
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 + aou + silicate + phosphate_star	1488.9932	1517.7735	1.2414859	2.4309560	3700.5693	3761.1065
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2630.9319	2660.3920	3.3662176	7.5356081	7057.3299	7119.3601
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1537.5457	1566.3259	1.3101432	2.6196466	3881.7950	3942.3321
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2630.1119	2659.5720	3.3634417	7.5947238	7079.3494	7141.3796
mod	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1486.8030	1515.5833	1.2384750	2.4251390	3695.1197	3755.6568
obs	Indian	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2631.0136	2660.4737	3.3664942	7.5387147	7058.4633	7120.4935
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 + nitrate + silicate + phosphate_star	2620.1067	2649.5669	3.3297567	7.4152663	7015.0035	7077.0337
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate	2632.3099	2657.5614	3.3776767	7.5623286	7062.3710	7115.5398
mod	Indian	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	1546.9945	1571.6633	1.3268785	2.6879291	3942.5241	3994.4131
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate_star	2628.9332	2654.1848	3.3662221	7.5356957	7053.3622	7106.5309
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2618.8931	2648.3533	3.3256938	7.4079462	7012.5537	7074.5838
mod	Indian	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1620.6285	1645.2973	1.4397412	2.9076707	4120.4807	4172.3697
mod	Indian	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1543.5808	1568.2496	1.3218664	2.6777186	3933.8297	3985.7187
obs	Indian	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2629.0136	2654.2651	3.3664942	7.5387326	7054.4699	7107.6387
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 + aou + silicate + phosphate_star	1846.2468	1871.4983	1.5317030	2.8613299	4482.1557	4535.2856
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1919.9500	1945.2016	1.6495925	3.0539140	4640.0289	4693.1588
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1839.9332	1865.1848	1.5220049	2.8337652	4455.0083	4508.1382
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + silicate + phosphate_star	2023.1859	2044.2288	1.8338166	3.3585898	4867.9936	4912.2685
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
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1841.1630	1870.6232	1.5208261	2.8288831	4453.8843	4515.8692
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3706.6118	3738.7343	3.0669526	6.7166638	9240.0469	9306.6417
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1921.4229	1950.8830	1.6487180	3.0460791	4635.8500	4697.8349
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3700.2097	3732.3322	3.0534782	6.7201262	9243.0619	9309.6567
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1840.7743	1870.2344	1.5202314	2.8318582	4457.6927	4519.6775
obs	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3706.8090	3738.9315	3.0673686	6.7169382	9240.1652	9306.7599
mod	Indian	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate_star	2018.5895	2043.8411	1.8216874	3.3336188	4852.3723	4905.5021
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
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3705.1931	3737.3156	3.0639617	6.6846530	9222.3907	9288.9855
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 + aou + silicate + phosphate_star	3706.8572	3734.3908	3.0716926	6.7219051	9238.5717	9295.6529
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3704.3243	3736.4468	3.0621313	6.6788037	9219.2629	9285.8576
obs	Indian	(27.85,27.95]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3707.1014	3734.6350	3.0722085	6.7221710	9238.6765	9295.7578
obs	Indian	(27.95,28.05]	cstar_tref ~ aou + phosphate + phosphate_star	4856.4871	4880.9503	2.8326345	6.1305927	11736.6838	11787.0549
obs	Indian	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	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 + aou + silicate + phosphate_star	2067.2382	2092.5974	1.8439854	3.3434070	5030.4992	5084.0332
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2102.5215	2127.8807	1.9094097	3.4516038	5111.2916	5164.8256
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2070.1112	2095.4705	1.8492280	3.3762479	5062.8824	5116.4164
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + silicate + phosphate_star	2114.4013	2135.5340	1.9357782	3.4836775	5127.1460	5171.7577
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
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 + aou + silicate + phosphate_star	2068.4338	2098.0196	1.8425204	3.3076898	4996.3052	5058.7616
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2104.4896	2134.0753	1.9093496	3.4134631	5074.8057	5137.2621
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2069.9714	2099.5571	1.8453219	3.3134624	5001.1205	5063.5768
mod	Indian	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate_star	2116.3828	2141.7421	1.9357429	3.4543421	5100.2070	5153.7410
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 + nitrate + silicate + phosphate_star	4900.6454	4934.8939	2.8909701	6.2466636	11830.4855	11901.0051
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	(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 + aou + silicate + phosphate_star	1250.8773	1273.7261	1.5546299	3.2642822	3456.6437	3505.4708
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
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 + aou + silicate + phosphate_star	1233.2211	1259.8781	1.5094175	3.1478251	3393.2294	3450.1944
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3976.4649	4009.1691	2.9711546	5.9490245	8985.6569	9052.6804
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + phosphate_star	1229.6374	1252.4862	1.5058324	3.2180707	3437.0997	3485.9269
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1230.2147	1256.8717	1.5026192	3.1808506	3417.1686	3474.1336
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3996.0545	4028.7587	3.0082217	5.9809770	9001.8257	9068.8491
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1233.4944	1260.1514	1.5100371	3.1517452	3395.7606	3452.7257
obs	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3980.1726	4012.8769	2.9781351	5.9506951	8985.8131	9052.8366
mod	Indian	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	1232.5558	1255.4046	1.5124454	3.1910353	3417.7493	3466.5765
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 + silicate + phosphate	3972.2292	4000.2614	2.9669535	5.9080742	8954.7104	9012.1591
obs	Indian	(28.1,28.2]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4885.1474	4914.6833	2.6687940	5.5813801	11579.8615	11640.6133
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4845.4480	4879.9065	2.6145319	5.4583802	11478.0116	11548.8888
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 + phosphate + phosphate_star	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
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 + phosphate + phosphate_star	4853.1289	4887.5874	2.6244433	5.4595395	11477.4135	11548.2907
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
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4912.4493	4946.9078	2.7022660	5.5619656	11559.9430	11630.8201
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 + phosphate_star	1978.7324	2005.8738	1.0253815	2.3039263	5406.6171	5463.3590
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 + nitrate + silicate + phosphate_star	1980.7286	2012.3935	1.0253786	2.3038526	5410.4995	5476.6984
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4910.6758	4945.1343	2.6999062	5.5696479	11567.5850	11638.4622
obs	Indian	(28.1,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + nitrate + silicate + phosphate_star	1980.7042	2007.8455	1.0268670	2.3207694	5433.0901	5489.8320
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + aou + nitrate + phosphate_star	1555.8945	1586.4549	0.4594219	1.0565162	4339.0912	4401.6654
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 + aou + nitrate + silicate + phosphate_star	1529.2429	1564.8967	0.4539879	1.0503402	4310.6246	4383.6279
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 + phosphate_star	1551.0280	1586.6818	0.4581137	1.0475052	4296.3884	4369.3917
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 + phosphate + phosphate_star	1847.1087	1875.7162	1.9428182	5.0139079	5077.9780	5137.7387
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
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1838.6223	1867.2297	1.9241722	5.0181278	5078.8827	5138.6434
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 + nitrate + phosphate + phosphate_star	1551.2476	1586.9015	0.4581555	1.0475423	4296.5838	4369.5870
mod	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1684.0333	1719.6872	0.4841294	1.0666151	4393.2345	4466.2378
obs	Indian	(28.2,28.3]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	1840.3265	1868.9339	1.9279022	5.0044256	5073.4337	5133.1944
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 + nitrate + silicate + phosphate_star	1827.8505	1856.4579	1.9007627	5.0171185	5077.2437	5137.0044
obs	Indian	(28.2,28.3]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1833.3824	1861.9898	1.9127489	5.0130958	5076.2553	5136.0160
mod	Indian	(28.3,28.4]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1537.7965	1572.6571	0.4915479	0.8883714	2962.6094	3034.3083
mod	Indian	(28.3,28.4]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	1601.3821	1631.2625	0.5067735	0.9043288	3029.4491	3090.9054
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1309.9511	1335.4939	2.3694682	5.2198932	2907.3842	2959.3271
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 + nitrate + silicate + phosphate_star	1308.0764	1333.6192	2.3616604	5.1778646	2897.7553	2949.6982
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1557.2173	1592.0778	0.4960081	0.9307901	3242.5690	3314.2679
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1308.2943	1333.8371	2.3625666	5.2227761	2907.9273	2959.8702
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1540.2040	1575.0646	0.4920986	0.8893843	2968.3369	3040.0358
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1308.2658	1333.8086	2.3624482	5.1809189	2898.4612	2950.4041
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1307.0795	1328.9733	2.3658348	5.2271799	2904.9674	2949.4899
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1310.2481	1335.7909	2.3707073	5.2007912	2903.0833	2955.0262
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
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1556.3854	1591.2460	0.4958162	0.9293526	3233.5546	3305.2535
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 + aou + silicate + phosphate_star	1556.6639	1591.5244	0.4958804	0.9300051	3237.7008	3309.3997
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1307.0385	1332.5813	2.3573490	5.2064165	2904.1657	2956.1086
mod	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1557.5960	1592.4565	0.4960955	0.9303992	3239.8089	3311.5079
obs	Indian	(28.3,28.4]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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
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 + nitrate + silicate + phosphate + phosphate_star	-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 + aou + nitrate + phosphate_star	-Inf	-Inf	0.0000000	2.1171281	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	-Inf	-Inf	0.0000000	2.1225897	-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 ~ temp + aou + nitrate + silicate + phosphate	-Inf	-Inf	0.0000000	2.1166767	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	-Inf	-Inf	0.0000000	2.0968954	-Inf	-Inf
obs	Indian	(28.4, Inf]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	-Inf	-Inf	0.0000000	2.1113160	-Inf	-Inf
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9468.0826	9504.6252	7.6831434	15.4200868	22482.5571	22557.8580
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	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 + phosphate_star	9312.9719	9349.5145	7.2593827	15.0121773	22335.1256	22410.4265
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	12062.3278	12100.6829	7.2617591	15.1220896	28449.8566	28528.5529
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 + 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 + aou + silicate + phosphate_star	9168.9064	9205.4490	6.8867601	14.1739750	21958.6913	22033.9922
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12032.6506	12071.0057	7.2011696	15.1305800	28461.3396	28540.0359
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	9328.4415	9364.9842	7.3005744	15.1136177	22379.6401	22454.9410
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	12049.4093	12087.7644	7.2353220	15.0488595	28408.8512	28487.5475
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	9367.7075	9404.2501	7.4061825	15.2845550	22450.1482	22525.4491
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12209.7459	12248.1010	7.5703713	15.8729532	28854.7617	28933.4580
mod	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9175.9215	9212.4641	6.9044534	14.2107882	21975.5379	22050.8388
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12035.7353	12074.0904	7.2074437	15.1295720	28460.1023	28538.7985
obs	Pacific	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate_star	12241.1001	12273.9759	7.6419966	16.1572744	29003.1055	29070.5595
mod	Pacific	(-Inf,26]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	9374.5719	9411.1145	7.4248009	15.1706540	22393.3646	22468.6655
obs	Pacific	(-Inf,26]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	12300.9166	12339.2717	7.7677615	16.0909741	28957.6068	29036.3030
mod	Pacific	(26,26.5]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	9077.2091	9115.0900	3.7403945	7.0792387	20014.6412	20092.0063
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate	11338.5982	11376.9770	5.8561874	12.1555821	24481.4295	24559.0634
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	11303.3467	11341.7255	5.7983880	12.0829849	24436.7047	24514.3387
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
mod	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8977.9586	9015.8395	3.6299035	6.8557276	19772.0671	19849.4322
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	11201.8842	11240.2630	5.6351915	12.0403680	24411.7935	24489.4275
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	11299.8037	11338.1825	5.7926104	12.0771256	24433.1093	24510.7433
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	11234.7282	11273.1070	5.6875101	12.1819225	24500.3677	24578.0016
mod	Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9012.2636	9050.1445	3.6677196	6.9175310	19837.2064	19914.5715
obs	Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + nitrate + silicate + phosphate_star	8841.3944	8879.2753	3.4831881	6.6660601	19579.7133	19657.0784
obs	Pacific	(26,26.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	11235.9081	11274.2869	5.6893987	12.1283805	24467.0207	24544.6546
mod	Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate	8971.4542	9003.9235	3.6249671	6.9147178	19845.2351	19911.5480
mod	Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	9033.8305	9066.2998	3.6939266	6.9980913	19925.8073	19992.1202
mod	Pacific	(26,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8878.3542	8916.2351	3.5222997	6.7280561	19646.4903	19723.8554
obs	Pacific	(26,26.5]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	11241.0204	11279.3992	5.6975885	12.1396671	24474.0697	24551.7036
mod	Pacific	(26,26.5]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	9067.3650	9099.8344	3.7315410	7.0535011	19981.6971	20048.0100
obs	Pacific	(26.5,26.75]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	10165.2733	10197.6439	5.4706019	11.6204446	22238.7142	22304.2677
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
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	10135.0768	10172.8426	5.4167733	11.5414334	22195.2208	22271.7000
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
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7911.1117	7948.6989	2.9128279	5.7526093	16721.7534	16797.7547
obs	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	10136.8283	10174.5941	5.4196879	11.5492318	22199.9438	22276.4229
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	8471.4979	8509.0851	3.4752958	6.7336464	17773.2682	17849.2696
mod	Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7921.4741	7959.0613	2.9223531	5.7677025	16739.1124	16815.1138
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate	10164.4318	10196.8024	5.4691882	11.6348689	22247.4612	22313.0147
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + phosphate_star	10180.9591	10213.3297	5.4970201	11.7028883	22288.2085	22353.7620
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 + nitrate + silicate + phosphate_star	7899.1785	7936.7657	2.9018971	5.7800504	16757.7627	16833.7641
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	10121.7118	10159.4775	5.3945843	11.5962802	22228.4539	22304.9331
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate	7939.2871	7971.5047	2.9406523	5.7978662	16769.7890	16834.9330
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate_star	7986.0341	8018.2517	2.9842831	5.8624441	16842.6279	16907.7719
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	10183.3990	10215.7696	5.5011409	11.7141974	22294.9641	22360.5176
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7923.5080	7961.0953	2.9242264	5.8120828	16794.1142	16870.1155
obs	Pacific	(26.5,26.75]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	10128.1291	10165.8948	5.4052271	11.6149540	22239.6958	22316.1749
mod	Pacific	(26.5,26.75]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	8001.0665	8033.2841	2.9984504	5.8863822	16869.7658	16934.9099
obs	Pacific	(26.75,27]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	12703.8162	12737.5257	5.4709038	10.5592954	26282.2562	26350.2162
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 + nitrate + phosphate_star	8555.8348	8593.8829	3.0065004	5.9678080	19144.1271	19221.7596
obs	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	12793.5894	12832.9172	5.5901701	10.7463589	26432.9822	26512.2688
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	8751.5546	8789.6026	3.1851876	6.0841308	19249.9829	19327.6154
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8569.1392	8607.1873	3.0183229	5.9913988	19174.1765	19251.8090
obs	Pacific	(26.75,27]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	12797.2399	12836.5677	5.5951864	10.7593656	26443.5296	26522.8162
mod	Pacific	(26.75,27]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	8519.8881	8557.9361	2.9747887	5.8556511	18991.9013	19069.5338
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate	12751.4375	12785.1470	5.5352924	10.6649995	26365.8960	26433.8560
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + phosphate_star	12791.8541	12825.5636	5.5905338	10.7751865	26453.7669	26521.7269
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 + nitrate + silicate + phosphate_star	8225.5773	8263.6254	2.7274188	5.4421967	18446.8900	18524.5225
obs	Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	12778.4970	12817.8247	5.5694790	10.7317317	26423.1248	26502.4115
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 + nitrate + phosphate + phosphate_star	12795.3778	12829.0873	5.5953760	10.7867167	26463.0324	26530.9923
mod	Pacific	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8231.2474	8269.2954	2.7319844	5.4566051	18467.8398	18545.4723
obs	Pacific	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	12785.2706	12824.5984	5.5787559	10.7517325	26439.1415	26518.4281
mod	Pacific	(26.75,27]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	8570.7228	8603.3355	3.0215153	5.9331396	19085.5796	19152.1217
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
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
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8944.3215	8983.1170	2.5820690	4.9030594	19394.7860	19473.7905
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	13860.0007	13900.2520	4.7709388	9.1870153	31090.0399	31172.2513
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate	13864.3999	13898.9010	4.7775174	9.2257459	31135.4426	31205.9095
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	13778.7034	13818.9547	4.6881461	9.0833078	30980.6006	31062.8120
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	13804.2559	13844.5072	4.7140127	9.1384005	31045.4416	31127.6530
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8947.8696	8986.6651	2.5844990	4.9109025	19409.0872	19488.0916
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	13861.7537	13902.0050	4.7727401	9.1928537	31097.2099	31179.4212
mod	Pacific	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	8978.4588	9017.2543	2.6055433	5.0505470	19669.1983	19748.2028
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	13815.5287	13855.7800	4.7254693	9.1283140	31027.7795	31109.9908
obs	Pacific	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	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 + phosphate_star	8957.2555	8990.5088	2.5923122	4.9480801	19474.3728	19542.0909
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 + aou + nitrate + silicate + phosphate_star	8933.6968	8972.4923	2.5748063	4.9132665	19418.7753	19497.7797
mod	Pacific	(27,27.25]	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	8959.2222	8992.4755	2.5936641	4.9531930	19483.7029	19551.4210
mod	Pacific	(27,27.25]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8936.7346	8975.5301	2.5768807	4.9193355	19429.6915	19508.6959
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 + nitrate + silicate + phosphate_star	10478.1250	10517.7820	2.8122195	5.0239515	23184.2550	23265.6415
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	12563.1225	12603.2858	3.7339242	7.7698270	29630.9840	29713.2615
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 + nitrate + silicate + phosphate + phosphate_star	10461.1460	10500.8030	2.8010489	4.9912189	23111.0818	23192.4684
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	12459.2005	12499.3638	3.6502623	7.6073608	29407.5650	29489.8425
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	12529.3127	12563.7384	3.7081142	7.7245767	29565.9135	29636.4371
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	10838.2165	10877.8735	3.0599044	5.3740358	23803.9494	23885.3360
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 + aou + silicate + phosphate_star	10635.1332	10674.7902	2.9176503	5.2557640	23660.0047	23741.3913
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12381.6416	12421.8049	3.5890478	7.4101483	29118.0722	29200.3497
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
mod	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10787.9775	10827.6345	3.0240805	5.2570952	23549.0393	23630.4258
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	12468.6983	12508.8616	3.6578300	7.4824232	29210.6656	29292.9431
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	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10608.0640	10647.7210	2.8991954	5.2242104	23600.7106	23682.0972
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12377.5810	12417.7443	3.5858713	7.4063142	29112.9686	29195.2461
obs	Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	12666.4228	12700.8485	3.8206516	7.7051377	29500.5539	29571.0775
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 + nitrate + silicate + phosphate_star	11191.7345	11231.9009	2.7658813	4.6912155	23484.0401	23566.1571
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	14198.8008	14239.7023	3.9140714	7.6588810	30955.4593	31038.5347
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 + aou + silicate + phosphate_star	11318.7782	11353.2065	2.8447798	4.8254016	23776.6864	23847.0723
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	11221.3682	11261.5345	2.7838038	4.7258438	23564.8189	23646.9359
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	13994.3836	14035.2850	3.7601725	7.2257317	30277.3817	30360.4572
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	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 + aou + silicate + phosphate_star	10683.9946	10724.1610	2.4761189	4.1402862	22113.3142	22195.4312
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14003.6508	14044.5522	3.7670167	6.9504626	29767.6804	29850.7559
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
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	14203.4706	14244.3721	3.9176598	7.1069068	29978.6279	30061.7034
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate	11031.0621	11065.4904	2.6718606	4.4662116	22904.2672	22974.6532
mod	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10680.6188	10720.7851	2.4742976	4.1359791	22101.0887	22183.2057
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14018.9081	14059.8096	3.7783120	6.9621364	29783.6645	29866.7400
obs	Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	14362.7208	14397.7792	4.0436064	7.2328671	30135.9043	30207.1118
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 + nitrate + silicate + phosphate_star	6568.7203	6606.1739	1.9857194	3.4577834	12999.8370	13075.6694
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate_star	6623.0783	6655.1814	2.0219847	3.5212377	13117.2385	13182.2377
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6580.2499	6617.7035	1.9930852	3.4635928	13007.6071	13083.4395
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6502.5586	6540.0122	1.9439748	3.5227147	13182.3184	13258.1508
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 + aou + silicate + phosphate_star	6596.2024	6633.6560	2.0033216	3.4930977	13069.8262	13145.6585
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	13618.7743	13659.2100	4.1971754	7.1847874	25496.0833	25576.8840
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6499.0987	6536.5523	1.9418161	3.5175546	13172.0956	13247.9279
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6657.5895	6695.0431	2.0432055	3.5167060	13092.1728	13168.0052
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	13605.3112	13645.7469	4.1853408	7.1639927	25468.4433	25549.2440
mod	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6594.0285	6631.4821	2.0019236	3.4921651	13068.7625	13144.5948
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	13619.1046	13659.5403	4.1974662	7.1852894	25496.7474	25577.5480
obs	Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate_star	13617.2319	13651.8911	4.1975783	7.2006871	25516.9605	25586.2183
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 + nitrate + silicate + phosphate_star	13578.7729	13619.2087	4.1621103	7.1638346	25478.3249	25559.1255
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	13585.3787	13625.8144	4.1678806	7.1697590	25485.1729	25565.9736
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	13644.3136	13678.9728	4.2214878	7.2237955	25542.7829	25612.0406
obs	Pacific	(27.75,27.85]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	13682.1084	13716.7676	4.2550835	7.2623198	25588.3196	25657.5774
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 + aou + nitrate + silicate + phosphate_star	7239.3519	7277.8903	1.7651434	3.0675484	13625.7617	13703.1216
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7201.5058	7240.0443	1.7468659	3.0179703	13495.8162	13573.1761
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_star	7270.1934	7303.2264	1.7811590	3.1168526	13750.1551	13816.4635
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 + aou + silicate + phosphate_star	7232.3662	7270.9046	1.7617554	3.0430188	13556.8149	13634.1748
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14333.0916	14374.6256	3.1522832	5.9717776	28913.0946	28996.5935
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7193.6323	7232.1707	1.7430872	3.0123021	13482.3103	13559.6702
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	14324.3683	14365.9024	3.1473573	5.9529295	28875.0075	28958.5063
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + phosphate + phosphate_star	7266.8312	7299.8641	1.7795127	3.1142506	13744.0829	13810.3914
mod	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7230.7115	7269.2500	1.7609538	3.0418026	13553.9346	13631.2945
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14333.6005	14375.1346	3.1525708	5.9722212	28913.9316	28997.4304
obs	Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + silicate + phosphate_star	14333.0218	14368.6224	3.1533742	5.9748638	28915.2210	28986.7915
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 + nitrate + silicate + phosphate_star	14300.8679	14342.4019	3.1341252	5.9517412	28876.9175	28960.4164
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate_star	14391.1228	14426.7234	3.1863917	6.0260484	29011.3948	29082.9652
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	14303.7261	14345.2602	3.1357315	5.9529833	28879.0088	28962.5077
obs	Pacific	(27.85,27.95]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	14351.1351	14386.7358	3.1636307	5.9838633	28930.6909	29002.2614
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
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 + phosphate_star	6489.0787	6521.7161	1.6223019	2.8860649	12293.3040	12358.7525
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 + aou + silicate + phosphate_star	6404.9639	6443.0408	1.5817755	2.7497506	11934.9962	12011.3527
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	19049.4516	19092.3826	3.9601503	7.0679466	38740.8382	38827.5673
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6439.1368	6477.2137	1.5977349	2.7929502	12049.9529	12126.3094
obs	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	19138.2305	19181.1615	4.0121149	6.9921801	38506.1221	38592.8512
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + phosphate + phosphate_star	6487.2818	6519.9192	1.6214457	2.8848672	12290.5599	12356.0083
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6404.3839	6442.4608	1.5815060	2.7494281	11934.2571	12010.6136
mod	Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate_star	6464.2496	6496.8870	1.6105117	2.8333634	12153.1645	12218.6130
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 + aou + nitrate + silicate + phosphate_star	19057.4309	19100.3619	3.9647931	6.9405892	38414.2726	38501.0017
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	19040.0780	19083.0090	3.9547030	6.9289397	38392.8791	38479.6082
obs	Pacific	(27.95,28.05]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	19139.6389	19176.4369	4.0141235	7.0029208	38528.0832	38602.4224
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 + nitrate + silicate + phosphate + phosphate_star	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
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate_star	5047.9914	5078.9798	1.6963303	2.8882701	9483.1915	9545.5892
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 + aou + silicate + phosphate_star	4819.5424	4855.6954	1.5517032	2.6149613	8939.8291	9012.6264
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	14401.0701	14443.0396	2.7312497	5.4630130	28027.6129	28111.1640
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4819.0042	4855.1573	1.5513803	2.6207629	8955.2235	9028.0208
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	14387.1982	14429.1677	2.7248744	5.4822732	28066.1970	28149.7481
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + phosphate + phosphate_star	5047.9793	5078.9676	1.6963223	2.8897793	9486.7080	9549.1057
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4819.5385	4855.6915	1.5517009	2.6153921	8940.9549	9013.7522
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	14398.8310	14440.8005	2.7302196	5.4604913	28022.3065	28105.8576
mod	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	4818.8469	4849.8352	1.5524862	2.6420155	9004.8413	9067.2390
obs	Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate_star	14401.7743	14437.7482	2.7324942	5.4900047	28079.0008	28150.6160
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
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
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	11642.2788	11683.0388	2.4831089	4.8642469	21808.4145	21889.1113
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 + aou + silicate + phosphate_star	11691.8977	11726.8347	2.5089079	4.8913040	21858.3788	21927.5474
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	11621.3604	11662.1203	2.4727296	4.8456723	21772.1882	21852.8850
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	11679.3713	11714.3084	2.5026227	4.8771861	21831.2307	21900.3993
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
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 + aou + silicate + phosphate_star	7432.5256	7472.8757	1.1689664	2.1226633	13969.5178	14050.2860
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	11663.0812	11703.8411	2.4934738	4.8611497	21804.0435	21884.7402
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7411.8826	7452.2326	1.1638543	2.1198413	13960.2820	14041.0502
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7431.3485	7471.6986	1.1686743	2.1228758	13970.8565	14051.6246
obs	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	11659.1251	11699.8850	2.4914993	4.8561055	21794.3272	21875.0239
mod	Pacific	(28.1,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	7462.8967	7497.4825	1.1770282	2.1648610	14165.1459	14234.3758
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 + aou + silicate + phosphate_star	8495.7083	8530.2941	1.4656128	2.5126156	15474.6308	15543.8607
mod	Pacific	(28.1,28.2]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	8503.5430	8538.1288	1.4680527	2.5173804	15493.0143	15562.2441
obs	Pacific	(28.2,28.3]	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3413.8696	3441.9094	2.0780324	4.4531111	5572.8005	5625.7567
obs	Pacific	(28.2,28.3]	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3380.0441	3412.7572	2.0315028	4.4064630	5540.9282	5602.7104
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3364.0626	3396.7756	2.0110836	4.3861546	5524.9905	5586.7727
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
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 + aou + silicate + phosphate_star	10422.5020	10460.8300	0.7911153	1.4508790	19981.6738	20058.8085
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + nitrate + silicate + phosphate_star	10517.4841	10555.8120	0.7997122	1.4588895	20068.1930	20145.3277
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + silicate + phosphate + phosphate_star	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 + phosphate	9978.8449	10023.5609	0.7519965	1.3419106	18474.9065	18564.8970
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	9987.5152	10032.2311	0.7527388	1.3439128	18503.8835	18593.8740
obs	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3361.9078	3394.6209	2.0083463	4.4145745	5535.0868	5596.8690
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	10057.3885	10102.1045	0.7587477	1.3362854	18351.6392	18441.6297
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9985.8006	10030.5165	0.7525920	1.3438831	18504.0546	18594.0451
mod	Pacific	(28.2,28.3]	cstar_tref ~ sal + temp + silicate + phosphate_star	10210.5511	10248.8791	0.7722633	1.3823154	19024.1086	19101.2433
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 + phosphate + phosphate_star	3400.9721	3433.6852	2.0585558	4.4278648	5559.6168	5621.3990
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 + nitrate + silicate + phosphate + phosphate_star	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 ~ aou + nitrate + silicate + phosphate_star	6903.2900	6937.5593	1.1313676	1.8522387	10781.8916	10849.0367
mod	Pacific	(28.3,28.4]	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	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 + aou + nitrate + silicate + phosphate_star	6902.7680	6942.7488	1.1307292	1.8493168	10772.1318	10850.4678
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	476.0072	492.6819	1.7000733	4.1663367	710.8849	738.7868
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 + nitrate + silicate + phosphate + phosphate_star	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
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	473.1723	492.6262	1.6658856	4.1919057	712.3483	744.9006
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + nitrate + phosphate	479.0370	495.7117	1.7218543	4.1871006	713.8751	741.7771
mod	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7102.2942	7142.2751	1.1823683	1.9091789	11011.9604	11090.2963
obs	Pacific	(28.3,28.4]	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	477.0603	496.5142	1.6933234	4.1536083	713.7050	746.2573
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 + nitrate + silicate + phosphate_star	7018.3635	7058.3444	1.1603650	1.9023480	11001.2086	11079.5446
mod	Pacific	(28.3,28.4]	cstar_tref ~ temp + nitrate + silicate + phosphate_star	7024.3503	7058.6196	1.1624411	1.9173879	11066.5465	11133.6916

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
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
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
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
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
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
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	phosphate	phosphate_star	sal	silicate	temp
Atlantic - mod
(-Inf,26]	6	6	4	4	10	8	10
(26,26.5]	7	10	7	7	3	4	9
(26.5,26.75]	7	9	6	7	4	4	10
(26.75,27]	8	5	8	5	5	10	7
(27,27.25]	9	8	6	5	5	10	6
(27.25,27.5]	8	9	4	4	6	10	7
(27.5,27.75]	7	2	6	6	10	8	7
(27.75,27.85]	5	2	5	8	5	10	9
(27.85,27.95]	6	3	5	6	6	10	9
(27.95,28.05]	6	1	6	7	7	7	10
(28.05,28.1]	7	NA	7	6	6	6	10
(28.1,28.15]	7	NA	7	6	6	6	10
(28.15,28.2]	6	9	3	5	5	5	10
(28.2, Inf]	9	10	2	4	6	4	6
total	98.00	—	76.00	80.00	84.00	102.00	120.00
Indian - mod
(-Inf,26]	6	4	6	7	10	4	10
(26,26.5]	6	4	6	7	4	10	10
(26.5,26.75]	5	5	5	8	4	10	10
(26.75,27]	5	5	5	8	4	10	10
(27,27.25]	5	10	5	8	3	5	10
(27.25,27.5]	6	10	5	6	5	4	10
(27.5,27.75]	NA	10	8	6	5	6	9
(27.75,27.85]	4	3	4	9	6	10	6
(27.85,27.95]	4	2	4	8	10	10	5
(27.95,28.05]	4	2	4	8	10	10	5
(28.05,28.1]	6	4	2	6	10	8	9
(28.1,28.2]	3	10	2	3	7	5	10
(28.2,28.3]	7	10	4	5	9	5	7
(28.3,28.4]	7	6	7	6	7	10	5
total	—	85.00	67.00	95.00	94.00	107.00	116.00
Pacific - mod
(-Inf,26]	6	6	6	7	9	7	9
(26,26.5]	7	4	7	7	3	10	9
(26.5,26.75]	6	4	6	7	4	10	10
(26.75,27]	6	8	6	6	5	7	10
(27,27.25]	6	10	6	7	4	4	10
(27.25,27.5]	5	6	6	6	10	9	7
(27.5,27.75]	6	5	5	5	10	10	6
(27.75,27.85]	6	7	4	8	10	8	6
(27.85,27.95]	7	6	4	7	10	6	7
(27.95,28.05]	6	3	3	6	10	6	10
(28.05,28.1]	6	3	4	6	10	6	10
(28.1,28.2]	6	2	5	6	7	10	9
(28.2,28.3]	5	3	4	7	10	10	6
(28.3,28.4]	5	10	6	6	6	8	4
total	83.00	77.00	72.00	91.00	108.00	111.00	113.00
Atlantic - obs
(-Inf,26]	8	6	6	6	10	5	8
(26,26.5]	10	5	8	6	5	5	6
(26.5,26.75]	7	5	6	7	5	8	10
(26.75,27]	4	7	3	10	6	7	10
(27,27.25]	7	10	7	7	3	4	9
(27.25,27.5]	7	7	7	7	6	7	9
(27.5,27.75]	7	3	7	7	3	10	9
(27.75,27.85]	6	4	7	7	7	10	6
(27.85,27.95]	5	4	7	6	10	10	5
(27.95,28.05]	5	4	7	6	10	10	5
(28.05,28.1]	4	8	4	9	10	7	6
(28.1,28.15]	3	5	4	10	5	9	10
(28.15,28.2]	5	5	5	8	4	10	10
(28.2, Inf]	8	4	9	3	10	5	6
total	86.00	77.00	87.00	99.00	94.00	107.00	109.00
Indian - obs
(-Inf,26]	5	5	5	8	4	10	10
(26,26.5]	4	9	6	8	6	5	10
(26.5,26.75]	5	8	5	8	7	6	10
(26.75,27]	6	4	6	7	4	10	10
(27,27.25]	7	5	8	5	10	7	6
(27.25,27.5]	5	7	10	4	5	10	6
(27.5,27.75]	5	6	9	4	7	10	7
(27.75,27.85]	6	4	6	7	4	10	10
(27.85,27.95]	6	4	6	7	4	10	10
(27.95,28.05]	10	4	9	3	4	4	8
(28.05,28.1]	8	5	8	3	7	7	9
(28.1,28.2]	8	3	8	7	9	7	5
(28.2,28.3]	8	6	8	6	5	6	10
(28.3,28.4]	7	5	7	8	10	8	4
total	90.00	75.00	101.00	85.00	86.00	110.00	115.00
Pacific - obs
(-Inf,26]	5	5	6	8	9	7	9
(26,26.5]	6	7	6	7	7	7	10
(26.5,26.75]	7	10	7	7	3	3	9
(26.75,27]	7	10	7	7	3	3	9
(27,27.25]	7	5	7	5	10	6	8
(27.25,27.5]	5	4	6	7	10	10	5
(27.5,27.75]	5	4	6	7	10	10	5
(27.75,27.85]	4	5	5	8	5	10	10
(27.85,27.95]	5	5	4	8	5	10	10
(27.95,28.05]	6	9	7	5	5	7	9
(28.05,28.1]	6	5	7	5	9	9	7
(28.1,28.2]	7	4	7	6	10	9	4
(28.2,28.3]	8	10	10	6	4	4	6
(28.3,28.4]	4	10	9	4	10	4	5
total	82.00	93.00	94.00	90.00	100.00	99.00	106.00

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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]]

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Version	Author	Date
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

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Version	Author	Date
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]]

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Version	Author	Date
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]]

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Version	Author	Date
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
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
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
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
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
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
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
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
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
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
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
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
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
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