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1 Required data

Required are:

  • cleaned and prepared GLODAPv2_2020 file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 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)

3 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

4 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)]) %>%
  group_by(gamma_slab, era, basin, data_source) %>% 
  nest()

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

# 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)
  )


# test parallel processing
# 
# library(parallel)
# library(multidplyr)
# 
# n_cores <- detectCores()
# system.time(
# cluster <- new_cluster(5)
# )
# 
# cluster
# 
# system.time(
#   GLODAP_nested_lm <-
#     expand_grid(GLODAP,
#                 lm_all) %>%
#     group_by(gamma_slab, era, basin, data_source, model, predictors, n) %>%
#     partition(cluster)
# )
# 
# GLODAP_nested_lm 
# 
# cluster %>%
#   cluster_library(c("tidyverse",
#                     "broom",
#                     "olsrr",
#                     "purrr"))
# 
# cluster_call(cluster, search())
# 
# system.time(
# 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)
#   )
# )
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>% 
#   collect()
# )
# 
# 
# 
# library(furrr)
# 
# plan(sequential)
# plan(multisession, workers = 5)
# 
# # This does run in parallel!
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
#   mutate(
#     fit = future_map2(.x = data, .y = model, 
#                ~ lm(as.formula(.y), data = .x))
#     # tidied = future_map(fit, tidy),
#     # glanced = future_map(fit, glance),
#     # augmented = future_map(fit, augment),
#     # vif = future_map(fit, ols_vif_tol)
#   )
# )



# print(object.size(GLODAP_nested), units = "MB")
# print(object.size(GLODAP_nested_lm), units = "MB")
# print(object.size(GLODAP_nested_lm_fit), units = "MB")

5 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)

6 Prepare coeffcients

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

6.1 VIF threshold

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

  • 200

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>

6.2 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_eras <- 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(eras = paste(lag(era), era, sep = " --> "),
         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$MLR_criterion == "aic") {
  lm_best_eras <- lm_all_eras %>%
    group_by(data_source, basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} 

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse eras rmse_sum aic_sum bic_sum
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 856.13727 876.10148 6.4925812 2000-2007 –> 2008-2019 15.209613 1121.0325 1151.8841
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 81.00336 94.52613 0.4667120 2000-2007 –> 2008-2019 4.888661 757.4617 790.1379
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 111.24637 124.76914 0.6277942 2000-2007 –> 2008-2019 4.649971 766.1000 798.7762
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 845.60867 865.57288 6.2309751 2000-2007 –> 2008-2019 15.299592 1113.2718 1144.1234
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 78.62159 92.14437 0.4559402 2000-2007 –> 2008-2019 4.362919 726.8498 759.5260
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 85.37282 96.96377 0.4967854 2000-2007 –> 2008-2019 4.933249 760.5783 788.5865
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 859.45924 876.57142 6.6289678 2000-2007 –> 2008-2019 15.408447 1122.8541 1149.2984
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 856.53065 876.49487 6.5025658 2000-2007 –> 2008-2019 15.273363 1121.8563 1152.7079
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 856.57373 876.53794 6.5036599 2000-2007 –> 2008-2019 15.272494 1121.8837 1152.7353
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 79.71701 93.23979 0.4608631 2000-2007 –> 2008-2019 4.783940 751.0195 783.6957
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 846.10768 866.07190 6.2431328 2000-2007 –> 2008-2019 15.019112 1111.4747 1142.3263
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 110.59840 124.12118 0.6238188 2000-2007 –> 2008-2019 4.523716 758.4131 791.0892
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 846.57359 866.53780 6.2545053 2000-2007 –> 2008-2019 15.392347 1114.7690 1145.6206
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 110.72894 124.25172 0.6246176 2000-2007 –> 2008-2019 4.945571 781.9195 814.5956
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 846.72465 866.68886 6.2581969 2000-2007 –> 2008-2019 15.404712 1114.9864 1145.8381
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 132.93692 146.45970 0.7765530 2000-2007 –> 2008-2019 4.842423 790.2540 822.9302
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 856.78832 876.75253 6.5091139 2000-2007 –> 2008-2019 15.306864 1122.3287 1153.1804
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 82.71450 96.23728 0.4746076 2000-2007 –> 2008-2019 4.816686 755.0170 787.6932
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 110.51059 124.03336 0.6232819 2000-2007 –> 2008-2019 4.841591 776.2196 808.8958
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 846.83892 866.80313 6.2609911 2000-2007 –> 2008-2019 15.422151 1115.2127 1146.0644
mod Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2261.17517 2289.28827 3.7491119 2000-2007 –> 2008-2019 8.317448 3444.5341 3495.7003
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2224.65930 2252.77240 3.5858209 2000-2007 –> 2008-2019 7.918988 3386.9838 3438.1500
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3866.27426 3897.22562 5.5455276 2000-2007 –> 2008-2019 11.354313 6397.4957 6456.3170
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2224.91682 2253.02992 3.5869472 2000-2007 –> 2008-2019 8.022908 3396.5726 3447.7388
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3868.57040 3899.52176 5.5558895 2000-2007 –> 2008-2019 11.459257 6412.5839 6471.4052
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3888.40154 3919.35290 5.6461925 2000-2007 –> 2008-2019 11.859631 6472.9587 6531.7799
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2190.20865 2218.32175 3.4382907 2000-2007 –> 2008-2019 8.364969 3403.6229 3454.7891
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3970.64560 4001.59696 6.0366336 2000-2007 –> 2008-2019 11.914894 6511.2835 6570.1048
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2190.84564 2218.95874 3.4409627 2000-2007 –> 2008-2019 8.510148 3415.6089 3466.7751
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2225.75193 2253.86503 3.5906021 2000-2007 –> 2008-2019 8.125516 3406.1883 3457.3545
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3878.41887 3909.37022 5.6005534 2000-2007 –> 2008-2019 11.634797 6439.7990 6498.6202
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2191.18921 2219.30231 3.4424047 2000-2007 –> 2008-2019 8.562802 3419.9531 3471.1193
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 3926.23749 3952.76722 5.8320488 2000-2007 –> 2008-2019 11.648077 6456.4459 6506.8642
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3928.20372 3954.73345 5.8413792 2000-2007 –> 2008-2019 11.747413 6470.5749 6520.9931
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2257.31619 2285.42929 3.7315098 2000-2007 –> 2008-2019 8.357168 3445.6380 3496.8042
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3928.21608 3959.16744 5.8319473 2000-2007 –> 2008-2019 11.555642 6447.7501 6506.5714
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2252.90224 2281.01534 3.7114775 2000-2007 –> 2008-2019 8.390898 3445.8231 3496.9893
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3930.17347 3961.12482 5.8412355 2000-2007 –> 2008-2019 11.616282 6456.7814 6515.6027
mod Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2254.23723 2282.35033 3.7175249 2000-2007 –> 2008-2019 8.448263 3451.4991 3502.6653
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3932.99112 3963.94248 5.8546318 2000-2007 –> 2008-2019 11.717274 6471.5220 6530.3432
mod Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3051.41386 3081.31077 4.2714914 2000-2007 –> 2008-2019 7.160253 4632.6264 4688.8135
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2962.32512 2992.22203 3.9265382 2000-2007 –> 2008-2019 7.095388 4602.0234 4658.2105
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5659.17701 5692.87881 5.3623500 2000-2007 –> 2008-2019 10.864161 8715.9684 8778.9880
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2966.68447 2996.58139 3.9427504 2000-2007 –> 2008-2019 7.016187 4587.0609 4643.2480
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5656.15917 5689.86097 5.3534755 2000-2007 –> 2008-2019 10.896799 8720.2720 8783.2917
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3008.43394 3038.33086 4.1014448 2000-2007 –> 2008-2019 6.991750 4589.9839 4646.1710
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3015.68585 3045.58277 4.1296541 2000-2007 –> 2008-2019 6.970525 4586.3330 4642.5201
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5722.11675 5755.81855 5.5508253 2000-2007 –> 2008-2019 11.091512 8785.7663 8848.7859
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2974.55738 3004.45430 3.9721991 2000-2007 –> 2008-2019 6.920575 4568.6795 4624.8666
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5652.88504 5686.58684 5.3438639 2000-2007 –> 2008-2019 10.885305 8716.6672 8779.6868
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3043.78397 3073.68089 4.2407978 2000-2007 –> 2008-2019 7.176336 4635.1482 4691.3353
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3016.92208 3046.81900 4.1344822 2000-2007 –> 2008-2019 6.972551 4586.9454 4643.1325
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 5708.35830 5737.24555 5.5151179 2000-2007 –> 2008-2019 11.017777 8763.3000 8817.3168
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 5703.48296 5732.37022 5.5003802 2000-2007 –> 2008-2019 11.043974 8765.6433 8819.6602
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5709.35673 5743.05853 5.5120870 2000-2007 –> 2008-2019 11.014448 8766.2455 8829.2652
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2976.80814 3006.70506 3.9806584 2000-2007 –> 2008-2019 7.094142 4605.3664 4661.5535
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5704.56804 5738.26984 5.4976188 2000-2007 –> 2008-2019 11.023921 8765.6856 8828.7052
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5701.24380 5730.13106 5.4936246 2000-2007 –> 2008-2019 11.035099 8763.0318 8817.0486
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2981.43092 3011.32783 3.9980894 2000-2007 –> 2008-2019 7.064958 4600.4552 4656.6424
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5702.26000 5735.96180 5.4906591 2000-2007 –> 2008-2019 11.017064 8763.3957 8826.4153
mod Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5263.63285 5293.39494 2.9222340 2000-2007 –> 2008-2019 5.231430 7472.8191 7527.7108
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5019.30023 5054.02267 2.5999503 2000-2007 –> 2008-2019 4.975200 7257.9562 7321.9965
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5186.47896 5216.24105 2.8172124 2000-2007 –> 2008-2019 5.192496 7423.1489 7478.0406
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 7059.31025 7094.70951 5.0289815 2000-2007 –> 2008-2019 11.341488 10432.6257 10497.7342
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate_star 7066.69604 7097.03826 5.0493503 2000-2007 –> 2008-2019 11.367776 10438.9769 10494.7841
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5154.16705 5188.88948 2.7717278 2000-2007 –> 2008-2019 4.921905 7295.8592 7359.8994
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 7031.09718 7066.49644 4.9682474 2000-2007 –> 2008-2019 11.157662 10384.1296 10449.2380
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5180.98932 5215.71175 2.8072207 2000-2007 –> 2008-2019 5.021837 7351.4424 7415.4827
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7024.58263 7059.98188 4.9543281 2000-2007 –> 2008-2019 11.094276 10369.3500 10434.4584
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 7059.67316 7095.07242 5.0297675 2000-2007 –> 2008-2019 11.347471 10433.8363 10498.9448
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7022.56470 7057.96396 4.9500245 2000-2007 –> 2008-2019 11.093128 10367.8614 10432.9698
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + phosphate + phosphate_star 7066.70223 7097.04445 5.0493638 2000-2007 –> 2008-2019 11.368410 10439.0843 10494.8915
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5191.35081 5226.07325 2.8210531 2000-2007 –> 2008-2019 5.061622 7373.1518 7437.1921
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7024.40248 7059.80174 4.9539438 2000-2007 –> 2008-2019 11.090001 10368.5170 10433.6255
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 7034.55930 7064.90153 4.9799481 2000-2007 –> 2008-2019 11.214293 10393.0416 10448.8488
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4852.94150 4887.66393 2.4026553 2000-2007 –> 2008-2019 4.644044 7035.0989 7099.1392
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4862.09182 4896.81425 2.4131073 2000-2007 –> 2008-2019 4.668039 7050.1163 7114.1566
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7021.96856 7057.36782 4.9487538 2000-2007 –> 2008-2019 11.374453 10413.5899 10478.6984
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5312.06289 5341.82498 2.9901478 2000-2007 –> 2008-2019 5.294843 7519.3488 7574.2405
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4885.05520 4919.77764 2.4395381 2000-2007 –> 2008-2019 4.719285 7083.7403 7147.7805
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 6430.63583 6462.15240 2.3489056 2000-2007 –> 2008-2019 4.643786 9718.0818 9777.1401
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6315.43537 6346.95194 2.2550139 2000-2007 –> 2008-2019 4.657464 9669.5778 9728.6361
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 6561.18756 6592.70413 2.4600431 2000-2007 –> 2008-2019 4.996668 9994.4571 10053.5154
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12530.87821 12569.97873 5.8004419 2000-2007 –> 2008-2019 11.405502 19112.9295 19186.6924
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 6138.71381 6175.48315 2.1167237 2000-2007 –> 2008-2019 4.242058 9316.4091 9385.3106
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6316.73997 6353.50931 2.2544587 2000-2007 –> 2008-2019 4.580383 9625.7498 9694.6513
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 12570.53891 12609.63943 5.8591250 2000-2007 –> 2008-2019 11.182551 19044.8453 19118.6082
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6402.89929 6439.66863 2.3243015 2000-2007 –> 2008-2019 4.675794 9727.8272 9796.7286
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12556.48807 12595.58860 5.8382674 2000-2007 –> 2008-2019 11.127474 19017.3163 19091.0792
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12537.40600 12576.50652 5.8100601 2000-2007 –> 2008-2019 11.434993 19126.8544 19200.6173
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12580.23603 12619.33655 5.8735632 2000-2007 –> 2008-2019 11.212183 19060.4988 19134.2618
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6425.75359 6462.52293 2.3431881 2000-2007 –> 2008-2019 4.706606 9758.0463 9826.9477
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12556.86426 12595.96478 5.8388249 2000-2007 –> 2008-2019 11.131574 19019.0918 19092.8547
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 12596.59929 12630.11403 5.9010022 2000-2007 –> 2008-2019 11.309612 19102.0842 19165.3096
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 6282.22913 6313.74571 2.2286534 2000-2007 –> 2008-2019 4.474072 9537.9506 9597.0089
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6283.62171 6320.39104 2.2281741 2000-2007 –> 2008-2019 4.472635 9540.7219 9609.6234
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12501.91253 12541.01305 5.7579552 2000-2007 –> 2008-2019 11.397866 19096.9188 19170.6818
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6280.09903 6316.86837 2.2253964 2000-2007 –> 2008-2019 4.468908 9536.5832 9605.4846
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 12473.63328 12512.73380 5.7167756 2000-2007 –> 2008-2019 11.268296 19035.6249 19109.3878
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 12559.05591 12592.57064 5.8450399 2000-2007 –> 2008-2019 11.445536 19137.4047 19200.6300
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 13401.98422 13436.89480 3.5756234 2000-2007 –> 2008-2019 6.604632 20444.5816 20510.9189
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 13210.50478 13245.41537 3.4405385 2000-2007 –> 2008-2019 7.252803 20892.9290 20959.2663
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 15560.81847 15601.45680 5.7471834 2000-2007 –> 2008-2019 10.166459 22186.4036 22262.3011
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15566.63798 15607.27630 5.7540020 2000-2007 –> 2008-2019 10.170366 22190.7228 22266.6203
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 13337.71265 13378.44167 3.5282803 2000-2007 –> 2008-2019 6.456294 20287.9693 20365.3627
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 15600.88341 15635.71625 5.7966524 2000-2007 –> 2008-2019 10.237683 22235.6450 22300.7001
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 15604.51300 15639.34584 5.8009408 2000-2007 –> 2008-2019 10.242011 22239.2949 22304.3499
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13212.09184 13252.82085 3.4402528 2000-2007 –> 2008-2019 7.213800 20868.1177 20945.5112
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 15591.27090 15631.90922 5.7829535 2000-2007 –> 2008-2019 10.198863 22215.1217 22291.0192
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13052.84290 13093.57192 3.3318103 2000-2007 –> 2008-2019 7.048376 20666.5398 20743.9333
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15596.83361 15637.47193 5.7895116 2000-2007 –> 2008-2019 10.221915 22229.1695 22305.0671
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15558.85957 15599.49789 5.7448900 2000-2007 –> 2008-2019 10.159803 22182.1967 22258.0942
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 13411.90770 13446.81828 3.5827671 2000-2007 –> 2008-2019 7.069609 20846.1027 20912.4399
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13030.92473 13071.65374 3.3171549 2000-2007 –> 2008-2019 6.789992 20455.9238 20533.3172
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 13428.22549 13463.13607 3.5945448 2000-2007 –> 2008-2019 7.308598 21038.0407 21104.3780
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 15600.01840 15634.85125 5.7956309 2000-2007 –> 2008-2019 10.234470 22233.6566 22298.7116
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13055.75010 13096.47911 3.3337590 2000-2007 –> 2008-2019 7.047375 20667.2378 20744.6312
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15591.93375 15632.57207 5.7837346 2000-2007 –> 2008-2019 10.209167 22220.6874 22296.5849
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 13632.44629 13667.35687 3.7452618 2000-2007 –> 2008-2019 6.903697 20791.4464 20857.7836
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15584.45812 15625.09645 5.7749318 2000-2007 –> 2008-2019 10.351364 22289.5754 22365.4729
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 17459.00016 17500.70530 5.1193164 2000-2007 –> 2008-2019 10.604815 25962.2466 26040.4585
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 23401.51530 23434.08825 2.5251757 2000-2007 –> 2008-2019 4.843730 34814.8811 34876.6201
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 22445.42501 22484.51255 2.2938964 2000-2007 –> 2008-2019 4.564904 33756.2378 33830.3246
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 23403.49991 23442.58745 2.5251718 2000-2007 –> 2008-2019 4.824903 34777.7335 34851.8203
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 23220.17628 23259.26382 2.4791827 2000-2007 –> 2008-2019 4.744264 34517.8043 34591.8911
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 22447.24477 22492.84690 2.2938550 2000-2007 –> 2008-2019 4.517351 33653.3705 33739.8050
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 17450.89423 17492.59937 5.1120617 2000-2007 –> 2008-2019 10.336876 25821.7073 25899.9191
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22168.11714 22213.71927 2.2305502 2000-2007 –> 2008-2019 4.412142 33278.2373 33364.6719
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17467.37690 17509.08204 5.1268242 2000-2007 –> 2008-2019 10.382526 25854.2225 25932.4343
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 23499.14342 23538.23096 2.5495029 2000-2007 –> 2008-2019 4.778204 34715.0680 34789.1547
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 22282.62867 22328.23080 2.2563067 2000-2007 –> 2008-2019 4.392350 33286.2801 33372.7147
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 23224.11677 23263.20431 2.4801624 2000-2007 –> 2008-2019 4.745961 34523.3422 34597.4289
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22178.15202 22223.75414 2.2327955 2000-2007 –> 2008-2019 4.414344 33288.1718 33374.6063
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17452.76081 17494.46595 5.1137314 2000-2007 –> 2008-2019 10.352179 25830.6619 25908.8738
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 17420.70289 17462.40804 5.0851315 2000-2007 –> 2008-2019 10.384685 25830.1489 25908.3607
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 17447.42826 17489.13340 5.1089629 2000-2007 –> 2008-2019 10.440582 25873.2828 25951.4946
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 17449.34122 17485.08849 5.1124615 2000-2007 –> 2008-2019 10.418205 25859.9624 25927.0011
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 17465.71264 17501.45991 5.1271253 2000-2007 –> 2008-2019 10.466576 25893.5594 25960.5981
obs Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17424.40185 17466.10699 5.0884233 2000-2007 –> 2008-2019 10.403528 25841.8180 25920.0298
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 17451.14018 17486.88744 5.1140708 2000-2007 –> 2008-2019 10.435186 25869.6305 25936.6692
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 6224.07762 6257.20553 1.3004735 2000-2007 –> 2008-2019 2.329956 9033.6028 9095.9697
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11322.79855 11361.26734 5.5979161 2000-2007 –> 2008-2019 10.649564 16520.7406 16592.4507
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 5933.10933 5966.23724 1.2019684 2000-2007 –> 2008-2019 2.249875 8776.9055 8839.2724
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 11321.80005 11354.77330 5.5994736 2000-2007 –> 2008-2019 10.687987 16530.1469 16591.6128
obs Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11314.47182 11352.94061 5.5849832 2000-2007 –> 2008-2019 10.654265 16518.3589 16590.0690
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6758.12697 6791.25488 1.5027556 2000-2007 –> 2008-2019 2.626024 9736.0973 9798.4642
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6746.93892 6780.06682 1.4982111 2000-2007 –> 2008-2019 2.640349 9757.0953 9819.4622
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 11313.27473 11346.24798 5.5862289 2000-2007 –> 2008-2019 10.700318 16530.1748 16591.6406
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 6156.93191 6195.58113 1.2763571 2000-2007 –> 2008-2019 2.277395 8914.3263 8987.0877
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 5762.38061 5801.02983 1.1470590 2000-2007 –> 2008-2019 2.194460 8607.2439 8680.0052
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 11318.69572 11357.16451 5.5915399 2000-2007 –> 2008-2019 10.672791 16526.6061 16598.3162
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5929.09452 5967.74374 1.2000129 2000-2007 –> 2008-2019 2.285860 8843.6041 8916.3655
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11305.42753 11343.89632 5.5709696 2000-2007 –> 2008-2019 10.673662 16520.5214 16592.2315
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5936.29104 5974.94027 1.2023530 2000-2007 –> 2008-2019 2.268944 8816.2317 8888.9930
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5921.41046 5960.05969 1.1975193 2000-2007 –> 2008-2019 2.275560 8821.9798 8894.7411
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11315.00635 11353.47515 5.5858125 2000-2007 –> 2008-2019 10.672869 16524.8645 16596.5746
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 6032.14386 6065.27177 1.2346285 2000-2007 –> 2008-2019 2.502761 9244.4700 9306.8369
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11338.46857 11376.93736 5.6223357 2000-2007 –> 2008-2019 10.666778 16533.9756 16605.6857
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11324.68332 11363.15211 5.6008476 2000-2007 –> 2008-2019 10.668117 16527.8927 16599.6028
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11334.59634 11373.06514 5.6162915 2000-2007 –> 2008-2019 10.665069 16531.5688 16603.2790
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 7250.05040 7282.96672 1.8419058 2000-2007 –> 2008-2019 4.535017 12110.2373 12172.6361
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 23671.09174 23714.88072 5.2289436 2000-2007 –> 2008-2019 11.033294 36376.2112 36459.1960
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 23031.22878 23075.01776 4.8118835 2000-2007 –> 2008-2019 10.412818 35593.8657 35676.8505
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 6980.98679 7013.90311 1.7080430 2000-2007 –> 2008-2019 4.193490 11679.7219 11742.1207
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 7789.55220 7822.46851 2.1427526 2000-2007 –> 2008-2019 4.649846 12505.7338 12568.1326
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 23041.43616 23078.96957 4.8195202 2000-2007 –> 2008-2019 10.421370 35602.7254 35673.8552
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 23428.06789 23471.85687 5.0664457 2000-2007 –> 2008-2019 10.808038 36089.7682 36172.7530
mod Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 7619.48383 7652.40015 2.0429597 2000-2007 –> 2008-2019 4.555143 12339.7462 12402.1450
mod Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 7599.49151 7632.40782 2.0315382 2000-2007 –> 2008-2019 4.508357 12291.2293 12353.6281
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 23473.85732 23511.39073 5.0979962 2000-2007 –> 2008-2019 10.839610 36133.5724 36204.7022
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 7011.32221 7049.72458 1.7216692 2000-2007 –> 2008-2019 4.300286 11786.0995 11858.8980
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 6539.02536 6577.42773 1.5080989 2000-2007 –> 2008-2019 3.974701 11224.4468 11297.2454
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 22949.09337 22992.88235 4.7608150 2000-2007 –> 2008-2019 10.302163 35469.0116 35551.9964
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6679.91801 6718.32038 1.5688766 2000-2007 –> 2008-2019 4.048283 11375.7570 11448.5555
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22905.25265 22949.04163 4.7337789 2000-2007 –> 2008-2019 10.276919 35426.4622 35509.4470
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 23022.99411 23066.78309 4.8067389 2000-2007 –> 2008-2019 10.356947 35549.2935 35632.2783
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 23037.12500 23074.65841 4.8168218 2000-2007 –> 2008-2019 10.368641 35562.5832 35633.7130
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22941.44889 22985.23787 4.7560897 2000-2007 –> 2008-2019 10.297270 35461.2459 35544.2307
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 6809.20473 6842.12105 1.6277132 2000-2007 –> 2008-2019 4.297987 11652.2575 11714.6562
mod Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 7777.44785 7810.36416 2.1354916 2000-2007 –> 2008-2019 4.699582 12538.8590 12601.2577
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25862.05587 25906.30412 5.6158548 2000-2007 –> 2008-2019 12.793273 39611.8428 39695.3877
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 25412.62301 25456.87126 5.3170481 2000-2007 –> 2008-2019 12.472692 39150.0986 39233.6436
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate 25917.03802 25954.96509 5.6549199 2000-2007 –> 2008-2019 12.837723 39667.8639 39739.4739
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 25476.95239 25514.87946 5.3601264 2000-2007 –> 2008-2019 12.519059 39214.2898 39285.8998
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 25545.86875 25590.11700 5.4039395 2000-2007 –> 2008-2019 12.554994 39280.7445 39364.2895
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 25628.96549 25666.89256 5.4601738 2000-2007 –> 2008-2019 12.611425 39361.9528 39433.5628
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 11218.06540 11252.06554 3.3341045 2000-2007 –> 2008-2019 7.489873 17212.6546 17276.4054
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 11256.54806 11290.54820 3.3642741 2000-2007 –> 2008-2019 7.517970 17250.0874 17313.8383
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 11057.31531 11096.98214 3.2094744 2000-2007 –> 2008-2019 7.364947 17053.7547 17128.1307
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 25563.71425 25607.96250 5.4156841 2000-2007 –> 2008-2019 12.570140 39300.5170 39384.0620
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11073.17390 11112.84074 3.2214108 2000-2007 –> 2008-2019 7.375084 17068.7021 17143.0781
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25474.41788 25518.66613 5.3571703 2000-2007 –> 2008-2019 12.502550 39206.0766 39289.6216
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 11354.86871 11388.86885 3.4426013 2000-2007 –> 2008-2019 7.485551 17291.5498 17355.3007
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 25778.10690 25822.35515 5.5587932 2000-2007 –> 2008-2019 12.843602 39588.0718 39671.6168
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11066.26289 11105.92973 3.2162036 2000-2007 –> 2008-2019 7.209519 16978.9539 17053.3298
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 11249.45993 11283.46007 3.3586967 2000-2007 –> 2008-2019 7.512348 17242.9767 17306.7275
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11072.73434 11112.40117 3.2210794 2000-2007 –> 2008-2019 7.374716 17068.2441 17142.6201
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 25529.92438 25574.17263 5.3934676 2000-2007 –> 2008-2019 12.543453 39264.1943 39347.7393
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 11072.78430 11106.78444 3.2226254 2000-2007 –> 2008-2019 7.376698 17066.5147 17130.2656
mod Atlantic (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11434.10243 11468.10257 3.5070477 2000-2007 –> 2008-2019 7.507600 17348.6028 17412.3537
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 21130.14745 21173.00820 5.5460815 2000-2007 –> 2008-2019 13.634908 30774.0020 30853.4310
mod Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 4635.50059 4666.19408 1.5825009 2000-2007 –> 2008-2019 2.257410 5798.4042 5855.0760
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 21179.87747 21216.61526 5.5887992 2000-2007 –> 2008-2019 13.682688 30823.4489 30891.5308
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate 4466.26268 4496.95617 1.4773744 2000-2007 –> 2008-2019 2.201599 5708.2940 5764.9659
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21208.56688 21251.42763 5.6109673 2000-2007 –> 2008-2019 13.622166 30825.9604 30905.3893
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 4266.64978 4302.45886 1.3612135 2000-2007 –> 2008-2019 2.069447 5485.6301 5551.7472
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 4083.57569 4114.26918 1.2646925 2000-2007 –> 2008-2019 2.077290 5454.7885 5511.4604
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 4133.43388 4164.12737 1.2905650 2000-2007 –> 2008-2019 2.106589 5509.3678 5566.0396
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 21224.94647 21261.68426 5.6262844 2000-2007 –> 2008-2019 13.639084 30840.8883 30908.9702
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 4080.60136 4116.41043 1.2621398 2000-2007 –> 2008-2019 1.935425 5242.8025 5308.9196
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4125.46316 4161.27224 1.2853490 2000-2007 –> 2008-2019 1.964958 5298.1532 5364.2703
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21140.64663 21183.50738 5.5547250 2000-2007 –> 2008-2019 13.565547 30757.9110 30837.3399
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21199.66668 21242.52743 5.6035650 2000-2007 –> 2008-2019 13.624892 30820.5271 30899.9560
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 21206.72759 21243.46538 5.6111010 2000-2007 –> 2008-2019 13.659237 30834.7436 30902.8255
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21141.84788 21184.70863 5.5557148 2000-2007 –> 2008-2019 13.574311 30761.7738 30841.2028
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 21242.08015 21278.81794 5.6406008 2000-2007 –> 2008-2019 13.662149 30861.0160 30929.0979
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21204.61758 21247.47833 5.6076815 2000-2007 –> 2008-2019 13.623222 30823.4978 30902.9268
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 4116.60897 4142.18688 1.2828172 2000-2007 –> 2008-2019 2.332215 5772.7567 5819.9833
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 4118.57758 4149.27107 1.2828009 2000-2007 –> 2008-2019 2.280684 5720.2492 5776.9210
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 4168.78888 4199.48237 1.3092316 2000-2007 –> 2008-2019 2.343427 5810.5642 5867.2360
mod Atlantic (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate 6615.95506 6649.23690 1.3819974 2000-2007 –> 2008-2019 2.431223 9203.9918 9265.9395
mod Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 6423.22101 6456.50285 1.3134753 2000-2007 –> 2008-2019 2.337100 8967.8791 9029.8268
mod Atlantic (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6531.96031 6565.24216 1.3517062 2000-2007 –> 2008-2019 2.366866 9062.0371 9123.9848
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 6180.77682 6214.05866 1.2320840 2000-2007 –> 2008-2019 2.365767 8904.7608 8966.7086
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16847.97625 16889.10208 5.9311657 2000-2007 –> 2008-2019 16.394804 22896.4615 22970.3884
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 6020.41756 6059.24638 1.1804175 2000-2007 –> 2008-2019 2.167436 8503.1290 8575.4014
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 5708.42277 5741.70462 1.0877109 2000-2007 –> 2008-2019 2.379199 8661.2549 8723.2026
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 5765.37517 5798.65702 1.1041794 2000-2007 –> 2008-2019 2.399983 8724.0648 8786.0125
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 5671.82681 5710.65563 1.0766903 2000-2007 –> 2008-2019 2.090023 8200.7412 8273.0136
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5739.99971 5778.82853 1.0962325 2000-2007 –> 2008-2019 2.111985 8273.1018 8345.3742
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16841.12475 16882.25059 5.9234479 2000-2007 –> 2008-2019 16.377708 22888.1736 22962.1004
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16834.60007 16875.72590 5.9161076 2000-2007 –> 2008-2019 16.350630 22878.6215 22952.5484
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 16846.10345 16881.35417 5.9313091 2000-2007 –> 2008-2019 16.403454 22893.8906 22957.2565
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate 6428.87670 6462.15855 1.3154368 2000-2007 –> 2008-2019 2.428615 9120.8102 9182.7580
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16841.95372 16883.07955 5.9243812 2000-2007 –> 2008-2019 16.384139 22889.8447 22963.7716
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 16840.11998 16875.37070 5.9245684 2000-2007 –> 2008-2019 16.390758 22886.9959 22950.3617
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 16844.39906 16885.52490 5.9271350 2000-2007 –> 2008-2019 16.364885 22888.9159 22962.8428
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 16849.85658 16885.10729 5.9355411 2000-2007 –> 2008-2019 16.393856 22895.5266 22958.8925
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 16844.14467 16879.39539 5.9291016 2000-2007 –> 2008-2019 16.369014 22886.9934 22950.3592
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 16850.59570 16885.84641 5.9363749 2000-2007 –> 2008-2019 16.399496 22897.0019 22960.3678
mod Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate 9878.85609 9909.51080 1.0337759 2000-2007 –> 2008-2019 2.010081 14508.9589 14566.6744
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 8923.60710 8960.39276 0.8979537 2000-2007 –> 2008-2019 1.874045 13554.9838 13624.2424
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 6324.19446 6354.53668 3.6674312 2000-2007 –> 2008-2019 7.223257 7464.9554 7515.3802
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 6347.37929 6377.72151 3.7042334 2000-2007 –> 2008-2019 7.244092 7486.2499 7536.6748
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6308.26073 6343.65999 3.6392153 2000-2007 –> 2008-2019 6.933528 7418.9379 7477.7669
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9390.38308 9433.29968 0.9615131 2000-2007 –> 2008-2019 2.022646 14300.4307 14381.2324
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6323.67132 6359.07058 3.6634482 2000-2007 –> 2008-2019 6.960310 7434.6734 7493.5024
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 9055.49888 9092.28453 0.9155508 2000-2007 –> 2008-2019 1.958161 13905.2253 13974.4839
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9045.66944 9088.58603 0.9139585 2000-2007 –> 2008-2019 1.919160 13776.3766 13857.1784
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 6343.09935 6373.44157 3.6974120 2000-2007 –> 2008-2019 7.236066 7481.8270 7532.2519
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9343.61023 9386.52683 0.9549183 2000-2007 –> 2008-2019 2.008128 14228.8360 14309.6377
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 9145.73396 9176.38867 0.9280613 2000-2007 –> 2008-2019 2.039145 14204.1299 14261.8454
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 8781.10392 8817.88957 0.8793209 2000-2007 –> 2008-2019 1.934092 13669.2354 13738.4940
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 6337.81514 6363.10032 3.6921861 2000-2007 –> 2008-2019 7.248736 7476.6615 7518.6823
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate_star 6365.57945 6390.86463 3.7365988 2000-2007 –> 2008-2019 7.285369 7503.5061 7545.5268
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6321.05334 6351.39556 3.6624734 2000-2007 –> 2008-2019 6.957537 7429.8263 7480.2511
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 6342.08074 6372.42296 3.6957904 2000-2007 –> 2008-2019 7.004372 7452.5731 7502.9980
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 9228.88050 9259.53521 0.9394855 2000-2007 –> 2008-2019 1.988312 14096.2945 14154.0100
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9104.42630 9141.21196 0.9221660 2000-2007 –> 2008-2019 1.962987 13948.4636 14017.7222
obs Atlantic (28.15,28.2] cstar_tref ~ temp + phosphate + phosphate_star 6360.68357 6385.96875 3.7287286 2000-2007 –> 2008-2019 7.274768 7498.2869 7540.3077
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 13284.67559 13318.58721 0.6698982 2000-2007 –> 2008-2019 1.228488 14544.5533 14601.5453
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 13131.74028 13172.43421 0.6619834 2000-2007 –> 2008-2019 1.162304 14229.0291 14297.4194
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14032.72772 14074.08128 3.1897090 2000-2007 –> 2008-2019 7.071353 16205.8312 16274.9298
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 14041.95004 14077.39595 3.1963008 2000-2007 –> 2008-2019 7.081970 16213.8599 16273.0873
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 16236.44937 16277.14330 0.8400024 2000-2007 –> 2008-2019 1.477141 17694.8960 17763.2863
obs Atlantic (28.2, Inf] cstar_tref ~ sal + phosphate + phosphate_star 14204.24714 14233.78540 3.2943802 2000-2007 –> 2008-2019 7.173922 16372.9292 16422.2854
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 13219.91533 13260.60926 0.6664762 2000-2007 –> 2008-2019 1.201724 14418.0215 14486.4118
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14071.68940 14113.04296 3.2126529 2000-2007 –> 2008-2019 7.081114 16242.1461 16311.2447
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14116.26660 14157.62016 3.2391062 2000-2007 –> 2008-2019 7.082321 16281.6295 16350.7281
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 13078.86911 13126.34537 0.6592029 2000-2007 –> 2008-2019 1.158872 14176.2138 14256.0025
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 14071.45010 14106.89601 3.2136936 2000-2007 –> 2008-2019 7.102174 16243.9226 16303.1500
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 14114.67149 14150.11740 3.2393474 2000-2007 –> 2008-2019 7.106993 16282.9642 16342.1916
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 17053.28333 17100.75959 0.8941837 2000-2007 –> 2008-2019 1.635659 18740.3027 18820.0914
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 14042.01070 14083.36426 3.1951607 2000-2007 –> 2008-2019 7.026628 16204.9918 16274.0904
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17148.66103 17196.13729 0.9007499 2000-2007 –> 2008-2019 1.648852 18848.9729 18928.7617
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14028.17083 14069.52439 3.1870363 2000-2007 –> 2008-2019 6.980893 16183.4771 16252.5757
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 15694.24009 15734.93403 0.8057806 2000-2007 –> 2008-2019 1.463413 17199.9841 17268.3745
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15661.62636 15709.10262 0.8036439 2000-2007 –> 2008-2019 1.351219 16895.7516 16975.5403
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 14087.08804 14122.53394 3.2229519 2000-2007 –> 2008-2019 7.098607 16256.9903 16316.2177
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17113.73930 17161.21556 0.8983402 2000-2007 –> 2008-2019 1.640930 18803.0024 18882.7912
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 23296.68571 23340.67371 4.5758593 2000-2007 –> 2008-2019 9.711633 34627.0317 34709.6879
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 31493.00898 31538.77755 5.2751583 2000-2007 –> 2008-2019 11.148603 46037.8234 46123.7093
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 25082.45541 25120.15941 5.7346287 2000-2007 –> 2008-2019 11.231431 36662.4368 36733.2849
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 24731.91160 24775.89959 5.4849605 2000-2007 –> 2008-2019 10.498198 35972.8113 36055.4675
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 32775.18807 32820.95664 5.9807156 2000-2007 –> 2008-2019 12.028188 47453.0334 47538.9194
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 23311.02051 23348.72451 4.5853067 2000-2007 –> 2008-2019 11.305846 35635.5124 35706.3605
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 31785.43145 31824.66166 5.4294296 2000-2007 –> 2008-2019 11.679507 46611.4127 46685.0292
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 23234.99389 23278.98189 4.5403547 2000-2007 –> 2008-2019 10.204752 34928.2208 35010.8770
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 31699.11375 31744.88232 5.3826851 2000-2007 –> 2008-2019 11.426929 46374.5262 46460.4121
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23245.88187 23289.86986 4.5466008 2000-2007 –> 2008-2019 10.383159 35050.0096 35132.6658
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 31715.12521 31760.89379 5.3911297 2000-2007 –> 2008-2019 11.460437 46409.3909 46495.2768
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 22970.66930 23014.65730 4.3913242 2000-2007 –> 2008-2019 10.519210 34955.2136 35037.8697
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 31779.64783 31825.41640 5.4252936 2000-2007 –> 2008-2019 11.657787 46594.7936 46680.6796
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 25378.32929 25422.31728 5.9514108 2000-2007 –> 2008-2019 11.721610 37140.1027 37222.7589
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 32991.07944 33036.84801 6.1084743 2000-2007 –> 2008-2019 12.435253 47874.6320 47960.5180
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25517.08618 25561.07417 6.0565971 2000-2007 –> 2008-2019 12.117729 37461.0595 37543.7157
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 33051.43545 33097.20403 6.1446770 2000-2007 –> 2008-2019 12.550364 47991.4597 48077.3456
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23373.22242 23417.21042 4.6202935 2000-2007 –> 2008-2019 10.586529 35258.7448 35341.4010
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 31849.00594 31894.77451 5.4622594 2000-2007 –> 2008-2019 11.623381 46611.6769 46697.5629
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 32846.44935 32892.21793 6.0225879 2000-2007 –> 2008-2019 12.560920 47879.8531 47965.7390
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17062.94377 17104.92034 4.2643423 2000-2007 –> 2008-2019 7.932303 26298.3478 26378.3766
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17460.80535 17502.75596 4.6096732 2000-2007 –> 2008-2019 8.833811 27060.6999 27140.6197
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17272.67176 17314.64834 4.4175437 2000-2007 –> 2008-2019 8.295562 26696.9711 26776.9998
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17475.50066 17517.45127 4.6211301 2000-2007 –> 2008-2019 8.890477 27111.0793 27190.9991
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 17841.57572 17877.53339 4.9175681 2000-2007 –> 2008-2019 9.463118 27685.2843 27753.7870
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16493.26419 16535.24076 3.8744921 2000-2007 –> 2008-2019 7.211512 25407.9292 25487.9580
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 17586.63612 17628.58673 4.7087014 2000-2007 –> 2008-2019 9.011298 27248.2190 27328.1388
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16717.53719 16759.51377 4.0235245 2000-2007 –> 2008-2019 7.547064 25816.6856 25896.7143
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17620.98239 17662.93300 4.7360995 2000-2007 –> 2008-2019 9.111631 27338.9101 27418.8299
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17346.38703 17388.36361 4.4726882 2000-2007 –> 2008-2019 8.408889 26821.1993 26901.2281
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17479.15681 17521.10742 4.6239849 2000-2007 –> 2008-2019 8.908360 27126.5141 27206.4339
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 17587.88561 17623.84328 4.7112867 2000-2007 –> 2008-2019 9.287444 27454.0894 27522.5921
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17492.43140 17534.38201 4.6343651 2000-2007 –> 2008-2019 9.125012 27297.4067 27377.3265
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16764.07679 16806.05337 4.0551618 2000-2007 –> 2008-2019 7.625586 25908.0617 25988.0904
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17620.00396 17661.95458 4.7353168 2000-2007 –> 2008-2019 9.117781 27343.2384 27423.1582
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 17625.72858 17661.68625 4.7414996 2000-2007 –> 2008-2019 9.232463 27428.9402 27497.4429
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 17027.11543 17069.09201 4.2387070 2000-2007 –> 2008-2019 7.853825 26213.2969 26293.3257
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 17125.36689 17167.34347 4.3093770 2000-2007 –> 2008-2019 7.948757 26334.2373 26414.2660
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 17415.69487 17451.67479 4.5266867 2000-2007 –> 2008-2019 8.559192 26970.4981 27039.0942
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17177.88849 17219.86507 4.3476367 2000-2007 –> 2008-2019 8.014206 26412.0055 26492.0343
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 15870.90112 15912.21853 4.5411521 2000-2007 –> 2008-2019 8.502319 24332.8331 24411.3942
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17657.85666 17699.67839 5.0370713 2000-2007 –> 2008-2019 9.896313 27379.2774 27458.8218
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16038.78964 16080.10705 4.6843409 2000-2007 –> 2008-2019 8.781274 24602.5629 24681.1240
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17703.31177 17745.13350 5.0766203 2000-2007 –> 2008-2019 10.008923 27473.0251 27552.5695
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 18041.38926 18077.23645 5.3825311 2000-2007 –> 2008-2019 10.621771 28004.4614 28072.6422
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 15468.08475 15509.40217 4.2151934 2000-2007 –> 2008-2019 7.823513 23648.0747 23726.6358
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18027.30449 18069.12622 5.3676555 2000-2007 –> 2008-2019 10.581397 27976.5893 28056.1337
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15635.40070 15676.71811 4.3476440 2000-2007 –> 2008-2019 8.069586 23909.0829 23987.6440
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16055.73931 16097.05672 4.6990456 2000-2007 –> 2008-2019 8.815943 24634.2036 24712.7647
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17709.09206 17750.91379 5.0816717 2000-2007 –> 2008-2019 10.026215 27486.8260 27566.3704
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 17753.45558 17789.30278 5.1223713 2000-2007 –> 2008-2019 10.240470 27640.8267 27709.0076
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17705.43823 17747.25996 5.0784780 2000-2007 –> 2008-2019 10.194137 27593.2664 27672.8108
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15646.30218 15687.61959 4.3564168 2000-2007 –> 2008-2019 8.094557 23933.1082 24011.6693
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18057.31793 18099.13966 5.3954460 2000-2007 –> 2008-2019 10.672571 28045.7054 28125.2497
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 18127.45343 18163.30063 5.4628287 2000-2007 –> 2008-2019 10.677559 28075.3515 28143.5324
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15938.17184 15979.48925 4.5979928 2000-2007 –> 2008-2019 8.223417 24132.4533 24211.0144
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18124.27616 18166.09789 5.4579647 2000-2007 –> 2008-2019 10.653261 28062.0920 28141.6364
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 16072.67885 16113.99626 4.7137875 2000-2007 –> 2008-2019 8.458467 24364.7664 24443.3275
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 16032.37504 16067.78996 4.6805186 2000-2007 –> 2008-2019 8.663421 24508.8437 24576.1818
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 16090.86607 16132.18348 4.7296668 2000-2007 –> 2008-2019 8.500867 24404.2810 24482.8421
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26643.69847 26688.44146 4.9511366 2000-2007 –> 2008-2019 10.109260 43307.5595 43393.6638
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20035.31231 20078.62924 3.9092479 2000-2007 –> 2008-2019 8.104515 32584.9358 32668.1166
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26825.32237 26870.06537 5.0541252 2000-2007 –> 2008-2019 10.321704 43603.4543 43689.5586
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21080.89897 21124.21591 4.5206062 2000-2007 –> 2008-2019 8.829409 33747.8553 33831.0362
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20051.42689 20094.74382 3.9180120 2000-2007 –> 2008-2019 8.105218 32592.5988 32675.7796
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26864.72090 26909.46390 5.0767471 2000-2007 –> 2008-2019 10.358838 43657.8249 43743.9292
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 20188.49895 20225.62776 3.9944691 2000-2007 –> 2008-2019 8.271707 32821.1476 32892.4455
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20104.41070 20147.72763 3.9469666 2000-2007 –> 2008-2019 8.081199 32589.6385 32672.8194
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26679.46561 26724.20861 4.9712508 2000-2007 –> 2008-2019 10.192383 43409.3999 43495.5042
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21070.16693 21113.48386 4.5138692 2000-2007 –> 2008-2019 8.812750 33726.9931 33810.1740
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 20528.25304 20565.38184 4.1875883 2000-2007 –> 2008-2019 8.569913 33267.5524 33338.8503
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 26683.85072 26722.20186 4.9748502 2000-2007 –> 2008-2019 10.189658 43405.1897 43478.9934
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 26859.98405 26898.33519 5.0751724 2000-2007 –> 2008-2019 10.401462 43696.4354 43770.2391
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 26581.07187 26625.81486 4.9161134 2000-2007 –> 2008-2019 10.106421 43278.7826 43364.8869
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 20488.83597 20532.15290 4.1635556 2000-2007 –> 2008-2019 8.573132 33257.3751 33340.5559
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 26710.31152 26755.05452 4.9886631 2000-2007 –> 2008-2019 10.270212 43502.8565 43588.9608
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 20500.82834 20544.14527 4.1705000 2000-2007 –> 2008-2019 8.573628 33262.9367 33346.1176
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26715.98755 26760.73055 4.9918738 2000-2007 –> 2008-2019 10.275538 43510.7116 43596.8159
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 20573.07018 20610.19898 4.2137502 2000-2007 –> 2008-2019 8.651766 33367.8571 33439.1550
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 26716.07242 26754.42356 4.9930537 2000-2007 –> 2008-2019 10.277236 43509.3305 43583.1342
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 34318.82190 34365.51730 4.5866778 2000-2007 –> 2008-2019 9.226423 57276.3711 57366.9189
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 34486.83306 34533.52846 4.6532466 2000-2007 –> 2008-2019 9.472589 57739.3954 57829.9431
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 34319.09443 34359.11906 4.5875718 2000-2007 –> 2008-2019 9.230134 57279.3582 57356.9706
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 34540.21593 34580.24056 4.6754012 2000-2007 –> 2008-2019 9.515458 57824.0958 57901.7081
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 34418.30809 34465.00349 4.6259800 2000-2007 –> 2008-2019 9.383687 57570.8830 57661.4308
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 34470.48315 34510.50778 4.6475233 2000-2007 –> 2008-2019 9.433994 57667.8804 57745.4927
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 23443.88303 23489.17375 2.8208099 2000-2007 –> 2008-2019 5.781753 38875.2557 38962.7706
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 34669.15236 34715.84776 4.7265780 2000-2007 –> 2008-2019 9.455654 57774.8411 57865.3889
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23719.91256 23765.20327 2.9036192 2000-2007 –> 2008-2019 5.963259 39353.1361 39440.6510
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 34408.80561 34455.50101 4.6222115 2000-2007 –> 2008-2019 9.303829 57436.1448 57526.6925
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23737.86232 23783.15303 2.9090876 2000-2007 –> 2008-2019 5.975950 39385.5995 39473.1145
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 23824.39356 23869.68427 2.9355941 2000-2007 –> 2008-2019 6.041460 39549.9280 39637.4429
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34508.22964 34554.92505 4.6617933 2000-2007 –> 2008-2019 9.359060 57561.4901 57652.0378
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 34393.68591 34440.38131 4.6162217 2000-2007 –> 2008-2019 9.287419 57403.7151 57494.2628
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 23672.52397 23711.34458 2.8898374 2000-2007 –> 2008-2019 5.977052 39358.9792 39433.9920
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 23891.59437 23930.41498 2.9569656 2000-2007 –> 2008-2019 6.138036 39762.4120 39837.4248
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 23529.39516 23574.68587 2.8462080 2000-2007 –> 2008-2019 5.872822 39095.8097 39183.3247
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 23818.73502 23864.02573 2.9338534 2000-2007 –> 2008-2019 6.083120 39629.6960 39717.2109
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 23827.07974 23872.37045 2.9364208 2000-2007 –> 2008-2019 6.089665 39645.8122 39733.3272
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 23884.26443 23923.08504 2.9546945 2000-2007 –> 2008-2019 6.133107 39749.9374 39824.9503
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31694.16928 31741.37177 3.0288919 2000-2007 –> 2008-2019 6.045179 51266.1956 51357.2360
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35375.12261 35422.46332 3.8446173 2000-2007 –> 2008-2019 8.038453 58911.2857 59002.8968
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 35719.88062 35767.22134 3.9496927 2000-2007 –> 2008-2019 8.406140 59756.8725 59848.4836
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 35436.82218 35477.39994 3.8638189 2000-2007 –> 2008-2019 8.072744 59000.6011 59079.1249
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 32075.11861 32122.32110 3.1223480 2000-2007 –> 2008-2019 6.335345 52136.8975 52227.9380
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 35526.52897 35573.86968 3.8904142 2000-2007 –> 2008-2019 8.220314 59325.9758 59417.5868
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35680.43836 35721.01612 3.9381434 2000-2007 –> 2008-2019 8.322742 59581.4020 59659.9258
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 32542.94261 32590.14510 3.2410707 2000-2007 –> 2008-2019 6.216155 52008.3462 52099.3866
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 35357.29846 35404.63917 3.8392615 2000-2007 –> 2008-2019 7.940211 58708.7726 58800.3837
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35396.04421 35443.38492 3.8509133 2000-2007 –> 2008-2019 8.011973 58867.5092 58959.1203
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 32555.37692 32602.57941 3.2442870 2000-2007 –> 2008-2019 6.224686 52034.6169 52125.6573
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 31879.44652 31926.64901 3.0739902 2000-2007 –> 2008-2019 5.922779 51008.5809 51099.6213
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35532.53381 35579.87452 3.8922417 2000-2007 –> 2008-2019 8.047099 58991.6986 59083.3097
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35388.40074 35435.74146 3.8486119 2000-2007 –> 2008-2019 8.001278 58843.2140 58934.8251
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 36057.01195 36097.58970 4.0558546 2000-2007 –> 2008-2019 8.338199 59763.3918 59841.9156
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 32897.44557 32937.90485 3.3345644 2000-2007 –> 2008-2019 6.320879 52390.0563 52468.0909
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 32440.91459 32488.11708 3.2147993 2000-2007 –> 2008-2019 6.116818 51713.5572 51804.5976
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 32918.37018 32958.82945 3.3401350 2000-2007 –> 2008-2019 6.332537 52426.7652 52504.7998
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 32436.97944 32484.18193 3.2137903 2000-2007 –> 2008-2019 6.117176 51713.2738 51804.3142
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 32444.00848 32484.46776 3.2161059 2000-2007 –> 2008-2019 6.122653 51726.7384 51804.7731
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35159.84477 35207.87918 2.9168275 2000-2007 –> 2008-2019 5.600479 57141.6920 57234.7096
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 39047.29224 39095.53282 3.5452441 2000-2007 –> 2008-2019 7.513065 64739.1811 64832.4431
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 35012.42964 35060.46405 2.8865295 2000-2007 –> 2008-2019 5.566652 56982.2616 57075.2792
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 39323.80331 39365.15238 3.6138072 2000-2007 –> 2008-2019 7.592807 65039.5196 65119.4585
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 35799.30640 35840.47876 3.0524126 2000-2007 –> 2008-2019 5.828546 58088.4857 58168.2151
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 35033.01474 35081.04915 2.8907414 2000-2007 –> 2008-2019 5.567483 56991.3255 57084.3432
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35928.51592 35969.68827 3.0804769 2000-2007 –> 2008-2019 5.871161 58265.4220 58345.1514
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 40614.93521 40663.17579 3.9488441 2000-2007 –> 2008-2019 7.533883 65375.5336 65468.7957
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 40560.94526 40609.18585 3.9342084 2000-2007 –> 2008-2019 7.551689 65404.2408 65497.5028
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 38918.79530 38967.03588 3.5140511 2000-2007 –> 2008-2019 7.084900 63642.9851 63736.2471
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35355.06997 35403.10438 2.9574419 2000-2007 –> 2008-2019 5.700377 57536.4086 57629.4263
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 38851.97398 38900.21456 3.4979387 2000-2007 –> 2008-2019 7.107943 63676.2777 63769.5398
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 40550.64108 40598.88166 3.9314213 2000-2007 –> 2008-2019 7.559589 65421.0166 65514.2786
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 35012.87131 35060.90572 2.8866198 2000-2007 –> 2008-2019 5.619670 57161.2492 57254.2668
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35688.36851 35736.40292 3.0280920 2000-2007 –> 2008-2019 5.800297 57966.6180 58059.6356
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 39027.59321 39075.83379 3.5404442 2000-2007 –> 2008-2019 7.147375 63844.0783 63937.3403
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 35352.97429 35394.14664 2.9574219 2000-2007 –> 2008-2019 5.703629 57543.1975 57622.9269
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35323.46349 35371.49790 2.9508284 2000-2007 –> 2008-2019 5.685911 57478.6295 57571.6471
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 38861.43144 38909.67202 3.5002146 2000-2007 –> 2008-2019 7.110491 63686.4283 63779.6903
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 39311.87294 39353.22201 3.6108432 2000-2007 –> 2008-2019 7.221252 64135.2048 64215.1437
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11731.43290 11772.85820 2.0433838 2000-2007 –> 2008-2019 4.220485 19263.3376 19342.8768
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11757.35967 11798.78498 2.0530530 2000-2007 –> 2008-2019 4.234970 19296.8242 19376.3634
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 11666.76059 11708.18590 2.0194626 2000-2007 –> 2008-2019 4.091106 19028.7549 19108.2940
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 11826.23717 11861.74457 2.0797206 2000-2007 –> 2008-2019 4.189570 19248.7658 19316.9422
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 20752.42863 20796.27377 3.5027185 2000-2007 –> 2008-2019 6.501771 31978.1929 32061.9969
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11823.09646 11864.52176 2.0777748 2000-2007 –> 2008-2019 4.187616 19247.6127 19327.1519
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20682.93706 20726.78219 3.4714913 2000-2007 –> 2008-2019 6.468328 31905.4095 31989.2136
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11670.45867 11711.88398 2.0208228 2000-2007 –> 2008-2019 4.096141 19038.5180 19118.0571
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11822.80220 11864.22750 2.0776635 2000-2007 –> 2008-2019 4.213996 19290.0174 19369.5566
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20670.66250 20714.50763 3.4660046 2000-2007 –> 2008-2019 6.474877 31910.9865 31994.7905
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 11827.04888 11862.55628 2.0800280 2000-2007 –> 2008-2019 4.191519 19252.2399 19320.4163
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11823.68260 11865.10790 2.0779966 2000-2007 –> 2008-2019 4.189439 19250.7945 19330.3336
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20682.50046 20726.34559 3.4712960 2000-2007 –> 2008-2019 6.468029 31904.8187 31988.6227
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 11849.98211 11885.48951 2.0887319 2000-2007 –> 2008-2019 4.226954 19318.2238 19386.4002
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 20766.71796 20810.56310 3.5091744 2000-2007 –> 2008-2019 6.508525 31992.9244 32076.7284
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 20712.68403 20756.52917 3.4848244 2000-2007 –> 2008-2019 6.481514 31934.9376 32018.7416
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 20777.11527 20814.69681 3.5147851 2000-2007 –> 2008-2019 6.511960 31998.0908 32069.9228
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 20718.56641 20762.41154 3.4874670 2000-2007 –> 2008-2019 6.484038 31940.6441 32024.4481
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 20740.52993 20778.11147 3.4982533 2000-2007 –> 2008-2019 6.507125 31978.8541 32050.6861
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 20774.07404 20811.65559 3.5134079 2000-2007 –> 2008-2019 6.510436 31994.8306 32066.6626
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 14085.67541 14122.44516 1.9298404 2000-2007 –> 2008-2019 3.880795 22830.7610 22901.4060
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 13890.17412 13926.94387 1.8749721 2000-2007 –> 2008-2019 3.704889 22367.2814 22437.9264
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 14186.06174 14222.83149 1.9586352 2000-2007 –> 2008-2019 3.906859 22925.2858 22995.9308
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 28663.59400 28709.92466 3.2206021 2000-2007 –> 2008-2019 5.914931 43870.7863 43959.5075
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13819.70706 13862.60509 1.8550326 2000-2007 –> 2008-2019 3.680680 22289.0397 22371.4588
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 28639.18509 28685.51576 3.2135074 2000-2007 –> 2008-2019 5.916840 43867.4088 43956.1301
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate_star 14142.52076 14179.29051 1.9460935 2000-2007 –> 2008-2019 3.911269 22917.9923 22988.6373
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 14208.25828 14245.02802 1.9650599 2000-2007 –> 2008-2019 3.917064 22955.5927 23026.2377
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13883.95192 13926.84995 1.8726990 2000-2007 –> 2008-2019 3.753153 22477.0424 22559.4616
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 28626.07250 28672.40317 3.2097025 2000-2007 –> 2008-2019 5.912321 43852.6319 43941.3531
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 13890.25521 13927.02495 1.8749946 2000-2007 –> 2008-2019 3.707823 22374.0146 22444.6596
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13820.20153 13863.09956 1.8551680 2000-2007 –> 2008-2019 3.683171 22294.9310 22377.3502
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 28638.77432 28685.10498 3.2133881 2000-2007 –> 2008-2019 5.918335 43870.7617 43959.4829
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 13882.12115 13918.89089 1.8727458 2000-2007 –> 2008-2019 3.753255 22473.3345 22543.9795
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 28667.78088 28714.11154 3.2218207 2000-2007 –> 2008-2019 5.914744 43871.6840 43960.4052
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 28661.83461 28708.16527 3.2200902 2000-2007 –> 2008-2019 5.921442 43885.4387 43974.1599
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 28696.61914 28736.33114 3.2308100 2000-2007 –> 2008-2019 5.928415 43909.4719 43985.5186
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 28685.96771 28725.67971 3.2277023 2000-2007 –> 2008-2019 5.933592 43918.1507 43994.1975
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 28661.70602 28708.03669 3.2200528 2000-2007 –> 2008-2019 5.922039 43886.7883 43975.5095
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 28661.16776 28700.87976 3.2204781 2000-2007 –> 2008-2019 5.925826 43892.0885 43968.1352
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 18118.05334 18150.08800 1.8275060 2000-2007 –> 2008-2019 3.699049 27419.6315 27480.3060
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 17817.05620 17855.49779 1.7667124 2000-2007 –> 2008-2019 3.340075 26332.3784 26405.1879
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 18018.55106 18056.99265 1.8069110 2000-2007 –> 2008-2019 3.674154 27311.6804 27384.4898
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 48273.66875 48323.75698 3.0961740 2000-2007 –> 2008-2019 5.937400 75062.3713 75158.6638
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17419.84844 17464.69696 1.6896917 2000-2007 –> 2008-2019 3.260749 25930.5094 26015.4537
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 48367.72424 48417.81247 3.1115943 2000-2007 –> 2008-2019 5.969060 75218.3814 75314.6739
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 17986.18842 18024.63001 1.8003935 2000-2007 –> 2008-2019 3.461069 26746.8195 26819.6290
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 18099.08947 18137.53106 1.8232332 2000-2007 –> 2008-2019 3.748376 27530.9194 27603.7289
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17441.05409 17485.90261 1.6936973 2000-2007 –> 2008-2019 3.333934 26147.4378 26232.3821
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 48378.43839 48428.52662 3.1133557 2000-2007 –> 2008-2019 5.952406 75158.8146 75255.1072
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 17815.66341 17854.10500 1.7664377 2000-2007 –> 2008-2019 3.342436 26338.5880 26411.3975
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17420.15803 17465.00655 1.6897501 2000-2007 –> 2008-2019 3.263311 25938.0510 26022.9954
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 48362.37234 48412.46057 3.1107148 2000-2007 –> 2008-2019 5.969054 75216.3507 75312.6432
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 17441.74153 17480.18312 1.6942056 2000-2007 –> 2008-2019 3.409379 26349.0342 26421.8436
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 48377.49448 48420.42725 3.1135294 2000-2007 –> 2008-2019 5.974690 75240.1972 75322.7336
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 48379.80718 48429.89541 3.1135808 2000-2007 –> 2008-2019 5.955366 75170.6496 75266.9422
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 48504.31980 48554.40803 3.1341258 2000-2007 –> 2008-2019 5.986999 75337.4925 75433.7850
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 48428.45499 48471.38776 3.1219216 2000-2007 –> 2008-2019 5.983925 75294.3616 75376.8981
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 48500.32597 48550.41421 3.1334647 2000-2007 –> 2008-2019 5.986167 75332.8491 75429.1417
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 48503.41111 48546.34388 3.1343065 2000-2007 –> 2008-2019 5.987249 75334.8475 75417.3840
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 41695.75240 41744.92806 2.9721650 2000-2007 –> 2008-2019 5.573821 64610.3396 64704.8805
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 41748.87284 41791.02340 2.9820398 2000-2007 –> 2008-2019 5.595981 64706.8823 64787.9173
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 41801.60449 41850.78015 2.9911573 2000-2007 –> 2008-2019 5.642228 64897.6092 64992.1501
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 42182.89015 42232.06581 3.0605802 2000-2007 –> 2008-2019 5.660461 65090.8936 65185.4344
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 9827.31707 9862.32104 1.6899325 2000-2007 –> 2008-2019 3.261455 15021.9416 15088.3463
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 41747.59679 41796.77245 2.9814519 2000-2007 –> 2008-2019 5.551028 64542.5536 64637.0944
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9289.80053 9330.63850 1.5186984 2000-2007 –> 2008-2019 2.984147 14292.8472 14370.3193
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 41864.45715 41913.63281 3.0024919 2000-2007 –> 2008-2019 5.594844 64744.5009 64839.0417
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9296.62124 9337.45922 1.5207510 2000-2007 –> 2008-2019 2.986744 14300.6959 14378.1681
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42037.65516 42086.83082 3.0339484 2000-2007 –> 2008-2019 5.623508 64907.3080 65001.8488
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 9827.55231 9862.55629 1.6900113 2000-2007 –> 2008-2019 3.263233 15025.1700 15091.5747
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9289.38990 9330.22787 1.5185749 2000-2007 –> 2008-2019 2.984366 14293.0841 14370.5562
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 41838.94806 41888.12372 2.9978865 2000-2007 –> 2008-2019 5.589170 64715.0154 64809.5562
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 9346.39298 9381.39696 1.5364217 2000-2007 –> 2008-2019 3.005833 14354.9194 14421.3241
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 42092.11787 42134.26844 3.0442744 2000-2007 –> 2008-2019 5.638292 64976.3540 65057.3890
obs Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 42101.95383 42151.12949 3.0457102 2000-2007 –> 2008-2019 5.623856 64929.0111 65023.5519
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 9719.60385 9754.60783 1.6542691 2000-2007 –> 2008-2019 3.159447 14794.7475 14861.1523
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9719.39394 9754.39792 1.6542003 2000-2007 –> 2008-2019 3.154618 14785.7635 14852.1683
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9717.31826 9752.32224 1.6535205 2000-2007 –> 2008-2019 3.159235 14793.4487 14859.8534
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 9752.09130 9781.26129 1.6656051 2000-2007 –> 2008-2019 3.176360 14835.4798 14890.8170
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 30293.55530 30340.74549 2.7202285 2000-2007 –> 2008-2019 5.336954 48254.4948 48345.3269
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 30308.10677 30348.55550 2.7238287 2000-2007 –> 2008-2019 5.344851 48279.4146 48357.2707
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 30256.91875 30304.10895 2.7122763 2000-2007 –> 2008-2019 5.409573 48446.4586 48537.2908
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate 20937.65657 20971.02157 1.4504777 2000-2007 –> 2008-2019 2.898086 33072.4898 33136.4963
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 20936.41012 20976.44811 1.4500748 2000-2007 –> 2008-2019 2.870803 32946.2026 33023.0104
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 30551.07156 30598.26176 2.7767860 2000-2007 –> 2008-2019 5.346356 48374.9318 48465.7639
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 19603.21178 19649.92278 1.2935093 2000-2007 –> 2008-2019 2.703233 31562.2986 31651.9076
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + phosphate 30691.87220 30732.32093 2.8086541 2000-2007 –> 2008-2019 5.392726 48556.1536 48634.0098
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate 20489.72870 20529.76669 1.3956936 2000-2007 –> 2008-2019 2.907240 32919.5091 32996.3168
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 30283.99870 30331.18890 2.7181519 2000-2007 –> 2008-2019 5.274171 48068.0016 48158.8338
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19478.36211 19525.07311 1.2797634 2000-2007 –> 2008-2019 2.487254 30387.8818 30477.4909
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 30289.22569 30336.41588 2.7192875 2000-2007 –> 2008-2019 5.329651 48231.8170 48322.6491
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate 20214.05502 20254.09301 1.3631544 2000-2007 –> 2008-2019 2.841252 32492.1632 32568.9710
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19475.11110 19521.82209 1.2794074 2000-2007 –> 2008-2019 2.493862 30423.6094 30513.2185
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 30467.65210 30514.84230 2.7583372 2000-2007 –> 2008-2019 5.372224 48420.4089 48511.2411
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate 20157.21621 20197.25421 1.3565403 2000-2007 –> 2008-2019 2.774363 32153.1350 32229.9428
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19475.43201 19522.14301 1.2794425 2000-2007 –> 2008-2019 2.486776 30384.0710 30473.6800
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 30280.08057 30327.27077 2.7173010 2000-2007 –> 2008-2019 5.324013 48212.1198 48302.9519
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 19636.73507 19676.77307 1.2974473 2000-2007 –> 2008-2019 2.512477 30586.4436 30663.2513
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 30591.14178 30631.59052 2.7861368 2000-2007 –> 2008-2019 5.400030 48541.9168 48619.7729
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 11368.94648 11409.81212 2.2720804 2000-2007 –> 2008-2019 4.471496 14252.2159 14324.4203
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + phosphate + phosphate_star 11368.56332 11403.59101 2.2728051 2000-2007 –> 2008-2019 4.513190 14273.8255 14335.7150
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate 36227.60060 36273.38003 0.7956039 2000-2007 –> 2008-2019 1.601107 57074.3187 57162.4983
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 11369.66766 11410.53330 2.2724036 2000-2007 –> 2008-2019 4.486387 14261.5189 14333.7234
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate_star 37451.94469 37497.72412 0.8282719 2000-2007 –> 2008-2019 1.694347 59554.7290 59642.9087
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate_star 37719.14329 37764.92273 0.8355777 2000-2007 –> 2008-2019 1.739818 60569.0009 60657.1805
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + silicate + phosphate + phosphate_star 37101.07629 37146.85573 0.8187752 2000-2007 –> 2008-2019 1.670582 58916.0812 59004.2609
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 11376.15133 11417.01698 2.2753115 2000-2007 –> 2008-2019 4.486282 14266.2325 14338.4369
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 36881.78143 36935.19077 0.8128417 2000-2007 –> 2008-2019 1.744061 60242.9522 60345.8284
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate 11381.37135 11416.39904 2.2785540 2000-2007 –> 2008-2019 4.518672 14286.4784 14348.3679
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 35207.98131 35261.39065 0.7693332 2000-2007 –> 2008-2019 1.538946 55267.0626 55369.9389
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 11377.19349 11418.05913 2.2757792 2000-2007 –> 2008-2019 4.515578 14284.1153 14356.3197
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35233.24218 35286.65152 0.7699722 2000-2007 –> 2008-2019 1.539585 55292.3271 55395.2033
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11443.98633 11484.85197 2.3059590 2000-2007 –> 2008-2019 4.617517 14391.9049 14464.1093
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11404.64889 11445.51453 2.2881366 2000-2007 –> 2008-2019 4.514017 14303.4673 14375.6718
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35420.22697 35473.63631 0.7747187 2000-2007 –> 2008-2019 1.555343 55725.4425 55828.3187
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + phosphate + phosphate_star 11421.37182 11456.39951 2.2966021 2000-2007 –> 2008-2019 4.555740 14337.4703 14399.3598
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35230.08624 35283.49558 0.7698924 2000-2007 –> 2008-2019 1.539504 55289.1586 55392.0348
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11397.89281 11438.75846 2.2850896 2000-2007 –> 2008-2019 4.540595 14313.8990 14386.1034
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate_star 35543.78191 35589.56134 0.7779222 2000-2007 –> 2008-2019 1.559052 55858.2066 55946.3862
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 19788.04330 19828.41677 1.1988034 2000-2007 –> 2008-2019 1.998468 26694.9712 26771.1462
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 20082.83131 20123.20478 1.2277435 2000-2007 –> 2008-2019 2.060853 27226.0852 27302.2603
mod Indo-Pacific (28.3,28.4] cstar_tref ~ nitrate + phosphate + phosphate_star 20482.08722 20515.73178 1.2682617 2000-2007 –> 2008-2019 2.110418 27685.6447 27749.1239
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate_star 20447.92113 20488.29460 1.2645556 2000-2007 –> 2008-2019 2.089892 27537.1086 27613.2836
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4012.19626 4045.37162 2.5775983 2000-2007 –> 2008-2019 4.628623 4983.6968 5040.7537
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3994.20754 4027.38289 2.5503073 2000-2007 –> 2008-2019 4.625076 4970.8647 5027.9216
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4000.89933 4034.07469 2.5604256 2000-2007 –> 2008-2019 4.614546 4973.0755 5030.1324
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4013.91999 4042.35601 2.5832840 2000-2007 –> 2008-2019 4.648965 4986.6106 5035.5165
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 4010.81503 4043.99039 2.5754925 2000-2007 –> 2008-2019 4.626008 4982.2044 5039.2612
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4004.90309 4038.07845 2.5664987 2000-2007 –> 2008-2019 4.650529 4983.5556 5040.6125
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate 19620.93218 19661.30565 1.1827017 2000-2007 –> 2008-2019 2.017823 26778.0995 26854.2746
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4025.39176 4058.56711 2.5978029 2000-2007 –> 2008-2019 4.655652 4998.3804 5055.4373
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20252.07770 20299.18008 1.2444721 2000-2007 –> 2008-2019 2.103950 27577.0626 27665.9335
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4007.77510 4040.95046 2.5708639 2000-2007 –> 2008-2019 4.624982 4979.9508 5037.0076
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate 19772.43490 19812.80837 1.1972903 2000-2007 –> 2008-2019 1.992886 26649.9344 26726.1095
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate_star 19806.73396 19847.10743 1.2006179 2000-2007 –> 2008-2019 2.002939 26732.7916 26808.9667
obs Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4007.65182 4040.82718 2.5706764 2000-2007 –> 2008-2019 4.659266 4987.2833 5044.3402
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 19775.49336 19815.86683 1.1975866 2000-2007 –> 2008-2019 1.994750 26664.3480 26740.5231
obs Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4003.19722 4036.37257 2.5639094 2000-2007 –> 2008-2019 4.657493 4983.8986 5040.9555
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + silicate + phosphate_star 20305.77687 20346.15034 1.2500937 2000-2007 –> 2008-2019 2.113478 27654.9242 27731.0993

6.3 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- GLODAP_glanced %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- GLODAP_glanced %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best <- full_join(
  lm_best_eras %>% select(data_source, basin, gamma_slab, model, eras),
  eras_era) %>% 
  drop_na() %>% 
  arrange(era, basin, gamma_slab, data_source)

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

rm(eras_era, eras_forward, eras_backward)

6.4 Cant coeffcients

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

# subtract coefficients of adjacent era  
lm_best_cant <- lm_best %>%
  arrange(era) %>%
  group_by(data_source, basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

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

6.5 Write files

# create table of target varaible coefficients in wide format
lm_best_target <- lm_best %>% 
  pivot_wider(names_from = "term",
              names_prefix = "coeff_",
              values_from = "estimate",
              values_fill = 0
              )


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

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

7 Model diagnotics

7.1 Selection criterion vs predictors

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

7.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  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
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
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

7.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  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
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
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

7.2 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).

7.2.1 All models

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

lm_all_eras %>%
  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
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)

7.2.2 Best models

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

lm_best_eras %>%
  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
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)

7.3 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_cant %>% 
  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] 5 6 5 8 10 9 6
(26,26.5] 7 7 7 7 6 7 9
(26.5,26.75] 6 7 6 7 8 7 9
(26.75,27] 8 4 8 5 5 10 7
(27,27.25] 9 5 4 4 7 10 7
(27.25,27.5] 6 5 4 5 9 8 8
(27.5,27.75] 6 2 6 6 10 5 8
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 7 3 4 5 9 10 5
(27.95,28.05] 4 3 4 8 9 6 10
(28.05,28.1] 10 2 5 3 7 6 9
(28.1,28.15] 8 3 5 3 10 7 7
(28.15,28.2] 5 8 1 6 6 5 9
(28.2, Inf] 6 7 2 5 10 7 7
total 92.00 66.00 65.00 78.00 116.00 107.00 107.00
Indo-Pacific - mod
(-Inf,26] 9 6 6 6 10 4 7
(26,26.5] 7 6 7 6 6 7 10
(26.5,26.75] 7 6 7 6 6 7 10
(26.75,27] 4 8 4 9 6 6 10
(27,27.25] 6 10 5 7 4 5 10
(27.25,27.5] 4 10 5 9 5 6 8
(27.5,27.75] 4 5 6 7 10 10 5
(27.75,27.85] 4 5 4 10 10 6 8
(27.85,27.95] 3 4 2 8 10 7 9
(27.95,28.05] 4 3 2 7 10 6 10
(28.05,28.1] 3 2 3 10 6 8 10
(28.1,28.2] 3 3 4 5 10 10 8
(28.2,28.3] 5 3 4 7 10 10 6
(28.3,28.4] 5 10 5 8 3 3 6
total 68.00 81.00 64.00 105.00 106.00 95.00 117.00
Atlantic - obs
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 8 9 6 5 5 5 10
(26.5,26.75] 7 9 6 7 4 4 10
(26.75,27] 5 4 4 9 9 6 10
(27,27.25] 6 5 4 8 7 8 10
(27.25,27.5] 7 4 7 6 9 4 10
(27.5,27.75] 7 4 7 6 4 10 9
(27.75,27.85] 6 5 8 6 7 10 6
(27.85,27.95] 5 4 7 6 10 10 5
(27.95,28.05] 6 4 7 6 10 10 4
(28.05,28.1] 5 5 3 10 10 5 8
(28.1,28.15] 4 4 3 10 6 8 10
(28.15,28.2] 8 NA 6 6 5 4 10
(28.2, Inf] 8 3 7 5 10 4 7
total 90.00 — 81.00 96.00 106.00 93.00 117.00
Indo-Pacific - obs
(-Inf,26] 8 7 6 6 9 5 8
(26,26.5] 5 5 5 7 10 5 10
(26.5,26.75] 6 7 7 5 8 4 10
(26.75,27] 6 10 5 7 4 5 10
(27,27.25] 6 5 6 7 10 9 4
(27.25,27.5] 5 4 6 7 10 10 5
(27.5,27.75] 6 5 6 6 10 7 8
(27.75,27.85] 5 5 5 8 4 10 10
(27.85,27.95] 6 5 5 7 4 10 10
(27.95,28.05] 5 5 5 7 5 10 10
(28.05,28.1] 6 5 7 5 9 9 7
(28.1,28.2] 6 4 7 5 10 8 7
(28.2,28.3] 7 3 9 7 10 4 7
(28.3,28.4] 5 6 8 6 8 10 6
total 82.00 76.00 87.00 90.00 111.00 106.00 112.00

7.4 RMSE alternatives

7.4.1 AIC

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

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

Version Author Date
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_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
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

7.4.2 AIC vs BIC

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

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

Version Author Date
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

7.5 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
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

7.6 Residual patterns

7.6.1 Fitted vs actual models

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

GLODAP_augmented_best <- left_join(
  lm_best_target %>% select(data_source, basin, gamma_slab, era, model),
  GLODAP_augmented
)
# calculate equal axis limits and binwidth
axis_lims <- GLODAP_augmented %>%
  summarise(
    max_value = max(
      c(max(.fitted, max(!!sym(params_local$MLR_target))))
      ),
    min_value = min(
      c(min(.fitted, min(!!sym(params_local$MLR_target))))
    )
  )

i_binwidth <- 1
# binwidth_value <- (axis_lims$max_value - axis_lims$min_value) / 40
axis_lims <- c(axis_lims$min_value, axis_lims$max_value)

GLODAP_augmented %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "All models") +
  facet_wrap(~data_source)

Version Author Date
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
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 
GLODAP_augmented_best %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "Selected models") +
  facet_wrap(~data_source)

Version Author Date
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 
rm(binwidth_value, axis_lims)

7.6.2 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 = "white") +
  scale_fill_viridis_c() +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
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 = "white") +
  scale_fill_viridis_c() +
  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
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

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

Version Author Date
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
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
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
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

7.6.4 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
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
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

7.6.5 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(basin, gamma_slab, lat_grid) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         .resid_mean_offset = .resid_mean - lag(.resid_mean)
         ) %>% 
  ungroup() %>% 
  select(-era) %>% 
  drop_na() %>% 
  filter(eras != paste(unique(lat_residual$era)[1],
                       unique(lat_residual$era)[3],
                       sep = " --> "))

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

Version Author Date
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 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
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 
GLODAP_glanced_vif %>% 
  ggplot(aes(Variables,
             log10(VIF),
             col = data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  geom_violin() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin) +
  coord_flip()

Version Author Date
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] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] 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_0.13          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            plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.0 data.table_1.13.2        modelr_0.1.8            
[70] vctrs_0.3.5              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.18                openxlsx_4.2.3           RcppEigen_0.3.3.7.0     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_0.1