Last updated: 2021-07-22

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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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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")

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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)

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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]]

Version Author Date
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
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9480f94 jens-daniel-mueller 2021-06-29
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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]]

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c18a8b1 jens-daniel-mueller 2021-07-09
910d64a jens-daniel-mueller 2021-07-02
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910d64a jens-daniel-mueller 2021-07-02
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955f5dc jens-daniel-mueller 2021-06-29
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955f5dc jens-daniel-mueller 2021-06-29
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910d64a jens-daniel-mueller 2021-07-02
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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)

Version Author Date
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
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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
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52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
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50290e8 jens-daniel-mueller 2021-04-16
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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()

Version Author Date
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 

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