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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
mod Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 258.7583 276.0196 0.9877932 2000-2009 –> 2010-2019 4.670380 1035.073 1072.926
obs Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 895.4113 915.6438 6.6501395 2000-2009 –> 2010-2019 14.216337 1370.724 1406.389
mod Atlantic (-Inf,26] cstar_tref ~ nitrate + silicate + phosphate + phosphate_star 259.3824 274.1779 1.0028034 2000-2009 –> 2010-2019 4.687030 1033.822 1066.267
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 898.5943 918.8267 6.7301934 2000-2009 –> 2010-2019 13.830070 1365.382 1401.048
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 222.2509 239.5123 0.8008399 2000-2009 –> 2010-2019 4.562658 1004.526 1042.379
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 231.9165 249.1778 0.8465846 2000-2009 –> 2010-2019 4.513834 1007.063 1044.916
mod Atlantic (-Inf,26] cstar_tref ~ sal + silicate + phosphate + phosphate_star 232.4643 247.2598 0.8590722 2000-2009 –> 2010-2019 4.751332 1022.284 1054.730
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 899.9583 917.3004 6.8158486 2000-2009 –> 2010-2019 13.980517 1365.964 1396.534
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 898.8621 919.0945 6.7369719 2000-2009 –> 2010-2019 13.897097 1366.782 1402.448
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 898.8896 919.1221 6.7376702 2000-2009 –> 2010-2019 13.896362 1366.783 1402.449
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 892.9116 913.1440 6.5879377 2000-2009 –> 2010-2019 13.686193 1359.669 1395.334
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 221.9033 239.1647 0.7992418 2000-2009 –> 2010-2019 4.458538 996.442 1034.295
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 899.1354 919.3678 6.7438983 2000-2009 –> 2010-2019 13.940994 1367.746 1403.411
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 222.5504 239.8118 0.8022196 2000-2009 –> 2010-2019 4.693630 1014.309 1052.162
mod Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 256.1562 273.4175 0.9731313 2000-2009 –> 2010-2019 4.643551 1031.545 1069.398
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 894.1126 914.3451 6.6177504 2000-2009 –> 2010-2019 14.158448 1368.973 1404.638
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 893.8311 914.0636 6.6107515 2000-2009 –> 2010-2019 14.144870 1368.574 1404.239
mod Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 262.7603 277.5558 1.0224613 2000-2009 –> 2010-2019 4.694249 1036.253 1068.698
mod Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 259.4053 276.6667 0.9914734 2000-2009 –> 2010-2019 4.629811 1032.336 1070.188
obs Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 892.4417 912.6741 6.5763095 2000-2009 –> 2010-2019 14.087951 1366.784 1402.450
mod Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2393.0650 2421.5925 3.7270573 2000-2009 –> 2010-2019 8.212230 4719.480 4775.877
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2353.5687 2382.0961 3.5616392 2000-2009 –> 2010-2019 8.035177 4677.926 4734.324
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4545.8321 4577.6092 6.3949374 2000-2009 –> 2010-2019 12.079851 9168.694 9232.622
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2353.8085 2382.3359 3.5626210 2000-2009 –> 2010-2019 8.094049 4688.349 4744.746
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4554.4813 4586.2584 6.4350269 2000-2009 –> 2010-2019 12.210675 9200.461 9264.390
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2307.1838 2335.7113 3.3767205 2000-2009 –> 2010-2019 7.888743 4638.326 4694.723
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4645.0682 4676.8453 6.8703083 2000-2009 –> 2010-2019 12.685393 9300.983 9364.912
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2307.8698 2336.3972 3.3793840 2000-2009 –> 2010-2019 7.997402 4657.402 4713.799
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2354.6677 2383.1951 3.5661412 2000-2009 –> 2010-2019 8.164602 4700.839 4757.236
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4582.0081 4613.7852 6.5642964 2000-2009 –> 2010-2019 12.448609 9255.202 9319.130
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2296.8428 2325.3702 3.3368216 2000-2009 –> 2010-2019 8.241893 4694.136 4750.533
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2308.2210 2336.7485 3.3807485 2000-2009 –> 2010-2019 8.033178 4663.633 4720.030
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4554.7457 4581.9833 6.4455644 2000-2009 –> 2010-2019 12.139660 9177.964 9232.759
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 4565.3273 4592.5648 6.4950337 2000-2009 –> 2010-2019 12.275020 9210.404 9265.199
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2389.1576 2417.6851 3.7103556 2000-2009 –> 2010-2019 8.254206 4725.867 4782.264
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4556.0934 4587.8705 6.4425269 2000-2009 –> 2010-2019 12.106244 9173.501 9237.429
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2383.2053 2411.7327 3.6850567 2000-2009 –> 2010-2019 8.275241 4727.949 4784.347
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4566.2228 4597.9999 6.4898522 2000-2009 –> 2010-2019 12.232117 9203.739 9267.668
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 4586.2586 4613.4961 6.5940094 2000-2009 –> 2010-2019 12.500020 9262.826 9317.622
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4585.0326 4616.8097 6.5786576 2000-2009 –> 2010-2019 12.425589 9248.922 9312.850
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6962.0882 6996.8569 6.3940801 2000-2009 –> 2010-2019 11.502330 13154.974 13224.187
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6956.5076 6991.2764 6.3772866 2000-2009 –> 2010-2019 11.492945 13152.329 13221.543
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3139.0141 3169.1580 4.1885377 2000-2009 –> 2010-2019 7.163124 6224.083 6285.144
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 6986.5426 7021.3114 6.4681932 2000-2009 –> 2010-2019 11.574249 13178.558 13247.771
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3146.2528 3176.3967 4.2162933 2000-2009 –> 2010-2019 7.192985 6232.188 6293.249
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6987.3952 7022.1639 6.4707925 2000-2009 –> 2010-2019 11.586464 13183.222 13252.435
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3108.1984 3138.3423 4.0724110 2000-2009 –> 2010-2019 7.445130 6347.020 6408.081
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3147.5229 3177.6669 4.2211823 2000-2009 –> 2010-2019 7.208415 6237.785 6298.846
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 6978.4380 7008.2398 6.4496122 2000-2009 –> 2010-2019 11.560960 13170.552 13229.878
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 6973.9638 7003.7656 6.4360274 2000-2009 –> 2010-2019 11.557438 13170.062 13229.388
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3110.0631 3140.2071 4.0793456 2000-2009 –> 2010-2019 7.180054 6245.960 6307.021
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6976.2480 7011.0168 6.4368896 2000-2009 –> 2010-2019 11.544354 13168.822 13238.035
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3114.4615 3144.6054 4.0957492 2000-2009 –> 2010-2019 7.177869 6242.998 6304.059
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6975.1453 7009.9141 6.4335455 2000-2009 –> 2010-2019 11.553567 13172.694 13241.907
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3148.1213 3173.9589 4.2312014 2000-2009 –> 2010-2019 7.352431 6290.092 6342.430
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3154.2141 3180.0517 4.2547887 2000-2009 –> 2010-2019 7.373760 6295.299 6347.637
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 6973.7407 7003.5425 6.4353509 2000-2009 –> 2010-2019 11.558146 13170.387 13229.713
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3118.7194 3148.8634 4.1116922 2000-2009 –> 2010-2019 7.196800 6248.442 6309.503
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6975.5096 7010.2784 6.4346502 2000-2009 –> 2010-2019 11.555775 13173.495 13242.708
mod Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3155.3084 3181.1461 4.2590392 2000-2009 –> 2010-2019 7.385732 6299.420 6351.758
mod Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5576.3392 5606.4227 2.9535639 2000-2009 –> 2010-2019 5.571076 10612.592 10672.444
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 5328.6148 5363.7122 2.6398614 2000-2009 –> 2010-2019 5.277637 10383.140 10452.967
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5486.6991 5516.7826 2.8368853 2000-2009 –> 2010-2019 5.551820 10600.060 10659.911
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5452.9193 5488.0168 2.7916107 2000-2009 –> 2010-2019 5.309322 10409.149 10478.975
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 7791.2248 7827.1411 5.4300665 2000-2009 –> 2010-2019 10.965432 14810.380 14881.437
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5479.8064 5514.9039 2.8255647 2000-2009 –> 2010-2019 5.398042 10481.441 10551.268
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7781.4234 7817.3397 5.4088194 2000-2009 –> 2010-2019 10.884194 14776.191 14847.249
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7779.4877 7815.4040 5.4046330 2000-2009 –> 2010-2019 10.877015 14773.032 14844.090
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5490.4175 5525.5149 2.8390781 2000-2009 –> 2010-2019 5.436482 10512.399 10582.226
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7781.0955 7817.0118 5.4081099 2000-2009 –> 2010-2019 10.881213 14774.935 14845.992
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 7793.1468 7823.9322 5.4385919 2000-2009 –> 2010-2019 10.946080 14799.002 14859.909
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5167.6502 5202.7476 2.4555487 2000-2009 –> 2010-2019 4.777258 9952.871 10022.698
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5177.2078 5212.3052 2.4661241 2000-2009 –> 2010-2019 4.794813 9968.763 10038.589
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 7779.3597 7815.2760 5.4043563 2000-2009 –> 2010-2019 10.925004 14792.556 14863.614
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5627.8859 5657.9694 3.0228195 2000-2009 –> 2010-2019 5.666936 10685.478 10745.329
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 7779.4535 7810.2389 5.4088845 2000-2009 –> 2010-2019 10.964576 14804.812 14865.718
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5201.7861 5236.8835 2.4935293 2000-2009 –> 2010-2019 4.849948 10018.318 10088.144
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 7779.4913 7815.4076 5.4046409 2000-2009 –> 2010-2019 10.933396 14795.972 14867.030
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7777.5624 7808.3478 5.4047944 2000-2009 –> 2010-2019 10.948435 14798.061 14858.967
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7779.1318 7809.9172 5.4081884 2000-2009 –> 2010-2019 10.962144 14803.791 14864.697
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 6872.4998 6904.4111 2.3531692 2000-2009 –> 2010-2019 4.960853 13717.150 13780.683
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6825.5799 6857.4912 2.3168442 2000-2009 –> 2010-2019 4.794204 13522.884 13586.417
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13310.6882 13350.1184 6.0532696 2000-2009 –> 2010-2019 11.653858 26180.975 26259.771
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 6620.3312 6657.5610 2.1629858 2000-2009 –> 2010-2019 4.476941 13123.526 13197.648
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6827.3717 6864.6014 2.3166842 2000-2009 –> 2010-2019 4.762213 13489.508 13563.630
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6923.6872 6960.9170 2.3918612 2000-2009 –> 2010-2019 4.863055 13615.828 13689.950
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13346.9909 13386.4211 6.1067124 2000-2009 –> 2010-2019 11.605389 26142.132 26220.928
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13323.4866 13362.9168 6.0720571 2000-2009 –> 2010-2019 11.690360 26206.696 26285.492
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7100.7036 7137.9334 2.5364469 2000-2009 –> 2010-2019 5.220235 14030.030 14104.152
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13372.4096 13411.8398 6.1444130 2000-2009 –> 2010-2019 11.679137 26194.289 26273.084
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6947.8610 6985.0907 2.4111094 2000-2009 –> 2010-2019 4.896615 13656.598 13730.720
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13347.9424 13387.3726 6.1081195 2000-2009 –> 2010-2019 11.613293 26147.915 26226.711
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 6835.1515 6867.0628 2.3242087 2000-2009 –> 2010-2019 4.702640 13415.333 13478.866
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6835.7561 6872.9859 2.3231336 2000-2009 –> 2010-2019 4.680256 13392.072 13466.194
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13287.4172 13326.8474 6.0192577 2000-2009 –> 2010-2019 11.663472 26189.456 26268.251
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6837.1333 6874.3631 2.3241946 2000-2009 –> 2010-2019 4.667118 13376.085 13450.207
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 13244.5771 13284.0073 5.9571432 2000-2009 –> 2010-2019 11.516173 26084.387 26163.183
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 13349.0125 13382.8098 6.1126617 2000-2009 –> 2010-2019 11.690080 26200.336 26267.875
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 13255.2644 13294.6946 5.9725785 2000-2009 –> 2010-2019 11.545979 26105.639 26184.434
obs Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 13349.9397 13383.7370 6.1140342 2000-2009 –> 2010-2019 11.699279 26207.001 26274.540
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 14747.7245 14783.2188 3.5610743 2000-2009 –> 2010-2019 6.940302 29788.262 29859.487
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 14537.3457 14572.8400 3.4269546 2000-2009 –> 2010-2019 7.086255 30031.746 30102.971
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 16538.4436 16579.5026 5.7633715 2000-2009 –> 2010-2019 10.250372 31153.059 31234.886
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16541.1749 16582.2339 5.7663926 2000-2009 –> 2010-2019 10.219733 31118.140 31199.967
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 14706.2446 14747.6546 3.5329316 2000-2009 –> 2010-2019 6.827928 29604.903 29687.999
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 16574.8896 16610.0831 5.8060419 2000-2009 –> 2010-2019 10.306799 31202.810 31272.948
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 16576.1514 16611.3449 5.8074477 2000-2009 –> 2010-2019 10.280962 31173.715 31243.853
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 14538.2838 14579.6938 3.4262906 2000-2009 –> 2010-2019 7.074272 30017.025 30100.121
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 16565.8961 16606.9551 5.7938083 2000-2009 –> 2010-2019 10.293017 31194.097 31275.924
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14390.1822 14431.5922 3.3349323 2000-2009 –> 2010-2019 6.903831 29743.998 29827.093
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16569.4901 16610.5491 5.7978049 2000-2009 –> 2010-2019 10.271314 31169.049 31250.876
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16534.6755 16575.7345 5.7592063 2000-2009 –> 2010-2019 10.220844 31120.948 31202.775
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 14751.5010 14786.9953 3.5635293 2000-2009 –> 2010-2019 7.109980 30067.351 30138.575
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14359.5396 14400.9495 3.3163363 2000-2009 –> 2010-2019 6.819022 29606.611 29689.706
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 14772.6995 14808.1938 3.5773410 2000-2009 –> 2010-2019 7.209778 30225.100 30296.325
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 16572.2366 16607.4300 5.8030872 2000-2009 –> 2010-2019 10.281498 31175.271 31245.409
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14392.4220 14433.8320 3.3362956 2000-2009 –> 2010-2019 6.905336 29746.463 29829.558
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16564.9750 16606.0340 5.7927844 2000-2009 –> 2010-2019 10.270976 31169.764 31251.592
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 14512.2613 14547.7556 3.4113038 2000-2009 –> 2010-2019 7.049432 29973.586 30044.811
obs Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 16560.8362 16601.8952 5.7881863 2000-2009 –> 2010-2019 10.400923 31313.635 31395.462
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 18264.0968 18306.1133 5.1292521 2000-2009 –> 2010-2019 10.007905 35892.425 35976.325
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 24906.2982 24939.1585 2.5542861 2000-2009 –> 2010-2019 4.995759 48840.737 48906.356
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 24033.4900 24072.9224 2.3512861 2000-2009 –> 2010-2019 4.741816 47751.684 47830.426
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 24904.9358 24944.3681 2.5534732 2000-2009 –> 2010-2019 4.977937 48769.015 48847.757
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 24730.7163 24770.1487 2.5117072 2000-2009 –> 2010-2019 4.910291 48483.721 48562.463
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 24025.6303 24071.6347 2.3490926 2000-2009 –> 2010-2019 4.728100 47695.815 47787.681
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18255.3615 18297.3781 5.1217600 2000-2009 –> 2010-2019 9.832473 35678.274 35762.175
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 23773.6074 23819.6118 2.2937140 2000-2009 –> 2010-2019 4.644567 47320.577 47412.443
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18268.7406 18310.7571 5.1332394 2000-2009 –> 2010-2019 9.857773 35708.832 35792.733
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 23911.2024 23957.2068 2.3237848 2000-2009 –> 2010-2019 4.682422 47492.385 47584.250
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 24732.7376 24772.1699 2.5121878 2000-2009 –> 2010-2019 4.910632 48485.142 48563.884
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23782.5140 23828.5184 2.2956487 2000-2009 –> 2010-2019 4.646832 47330.937 47422.803
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18255.8114 18297.8279 5.1221456 2000-2009 –> 2010-2019 9.834982 35681.367 35765.268
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 24489.1964 24528.6288 2.4549346 2000-2009 –> 2010-2019 4.961089 48696.268 48775.010
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18226.5288 18268.5453 5.0971083 2000-2009 –> 2010-2019 9.860255 35714.352 35798.253
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18249.1893 18291.2058 5.1164728 2000-2009 –> 2010-2019 9.900830 35763.067 35846.968
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 18253.6085 18289.6227 5.1219717 2000-2009 –> 2010-2019 9.886071 35740.604 35812.518
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 18266.8713 18302.8855 5.1333518 2000-2009 –> 2010-2019 9.918516 35779.738 35851.653
obs Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18228.6680 18270.6846 5.0989333 2000-2009 –> 2010-2019 9.867198 35722.789 35806.690
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 18253.9910 18290.0052 5.1222996 2000-2009 –> 2010-2019 9.891843 35747.684 35819.598
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 6918.0340 6951.5121 1.4114314 2000-2009 –> 2010-2019 2.725508 13755.855 13822.989
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 11889.4401 11928.2542 5.5904005 2000-2009 –> 2010-2019 10.291673 23533.185 23611.064
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 6639.8777 6673.3558 1.3146542 2000-2009 –> 2010-2019 2.583873 13337.588 13404.722
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 11888.9518 11922.2210 5.5926354 2000-2009 –> 2010-2019 10.342787 23571.243 23637.996
obs Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 11879.2671 11918.0811 5.5753833 2000-2009 –> 2010-2019 10.288008 23532.467 23610.346
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 7346.1454 7379.6235 1.5744846 2000-2009 –> 2010-2019 3.095319 14773.435 14840.569
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 7333.9042 7367.3823 1.5695706 2000-2009 –> 2010-2019 3.092267 14766.130 14833.264
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 11878.5298 11911.7990 5.5772451 2000-2009 –> 2010-2019 10.344444 23574.864 23641.617
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 6881.0103 6920.0680 1.3974361 2000-2009 –> 2010-2019 2.705238 13701.523 13779.846
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 6525.9888 6565.0466 1.2763188 2000-2009 –> 2010-2019 2.511251 13115.226 13193.550
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 11882.7751 11921.5891 5.5805571 2000-2009 –> 2010-2019 10.329740 23566.267 23644.146
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6668.3189 6707.3767 1.3235609 2000-2009 –> 2010-2019 2.609258 13420.066 13498.389
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11868.7486 11907.5626 5.5598986 2000-2009 –> 2010-2019 10.315871 23557.840 23635.719
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6676.6906 6715.7483 1.3263934 2000-2009 –> 2010-2019 2.611871 13427.749 13506.073
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6660.3063 6699.3641 1.3208555 2000-2009 –> 2010-2019 2.603950 13403.877 13482.200
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11879.1769 11917.9910 5.5752504 2000-2009 –> 2010-2019 10.325983 23563.948 23641.827
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 6797.2208 6830.6988 1.3685519 2000-2009 –> 2010-2019 2.681833 13632.600 13699.734
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11907.5260 11946.3401 5.6171983 2000-2009 –> 2010-2019 10.324021 23555.897 23633.776
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11892.9805 11931.7945 5.5956362 2000-2009 –> 2010-2019 10.305920 23544.232 23622.111
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11903.7523 11942.5664 5.6115963 2000-2009 –> 2010-2019 10.318440 23552.140 23630.019
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 24685.6561 24729.7511 5.2013191 2000-2009 –> 2010-2019 10.422374 50439.983 50528.461
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 23995.8642 24039.9592 4.7737807 2000-2009 –> 2010-2019 9.704907 49271.425 49359.903
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 9356.4160 9389.6501 2.9045500 2000-2009 –> 2010-2019 5.557458 19291.618 19358.670
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 24005.9304 24043.7262 4.7809487 2000-2009 –> 2010-2019 9.712098 49279.529 49355.367
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 24432.7685 24476.8635 5.0403040 2000-2009 –> 2010-2019 10.140560 49990.929 50079.407
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 24481.4171 24519.2128 5.0721481 2000-2009 –> 2010-2019 10.176791 50044.783 50120.621
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 9466.8446 9505.6178 2.9895291 2000-2009 –> 2010-2019 5.803419 19648.175 19726.402
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 9487.9112 9521.1453 3.0079254 2000-2009 –> 2010-2019 5.688534 19466.158 19533.209
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 9568.4355 9601.6697 3.0730381 2000-2009 –> 2010-2019 5.806364 19627.388 19694.440
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 9212.0510 9250.8242 2.7936574 2000-2009 –> 2010-2019 5.401902 19078.892 19157.119
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 23901.2314 23945.3264 4.7179353 2000-2009 –> 2010-2019 9.627180 49139.524 49228.002
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9263.2407 9302.0139 2.8319511 2000-2009 –> 2010-2019 5.477825 19189.439 19267.666
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 23850.4686 23894.5636 4.6882485 2000-2009 –> 2010-2019 9.581534 49061.474 49149.952
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 23957.7934 24001.8884 4.7512350 2000-2009 –> 2010-2019 9.734863 49322.104 49410.583
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9278.0511 9316.8243 2.8431280 2000-2009 –> 2010-2019 5.508399 19234.520 19312.747
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 9548.7709 9582.0050 3.0570081 2000-2009 –> 2010-2019 5.775869 19585.735 19652.786
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 23975.2644 24013.0601 4.7627525 2000-2009 –> 2010-2019 9.757315 49355.941 49431.780
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9256.7633 9295.5365 2.8270767 2000-2009 –> 2010-2019 5.465814 19171.770 19249.997
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 23893.3012 23937.3963 4.7132853 2000-2009 –> 2010-2019 9.618415 49124.566 49213.044
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 9335.6563 9368.8904 2.8885576 2000-2009 –> 2010-2019 5.638082 19419.095 19486.147
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26679.7154 26724.1817 5.6159085 2000-2009 –> 2010-2019 11.693422 54899.639 54988.791
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 26202.1030 26246.5692 5.3083505 2000-2009 –> 2010-2019 11.194001 54141.341 54230.493
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 26270.0929 26308.2068 5.3523445 2000-2009 –> 2010-2019 11.255449 54233.241 54309.656
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 26346.8862 26391.3525 5.3997608 2000-2009 –> 2010-2019 11.329967 54352.114 54441.266
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate_star 26614.8569 26652.9708 5.5744342 2000-2009 –> 2010-2019 11.716908 54925.811 55002.227
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 26436.0023 26474.1162 5.4580930 2000-2009 –> 2010-2019 11.404404 54462.961 54539.377
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 11720.4879 11754.6734 3.4502881 2000-2009 –> 2010-2019 7.547934 24866.336 24935.020
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 11753.4094 11787.5948 3.4761651 2000-2009 –> 2010-2019 7.582732 24909.352 24978.036
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 11575.3932 11615.2763 3.3370015 2000-2009 –> 2010-2019 7.411516 24696.963 24777.094
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 26362.2824 26406.7487 5.4095734 2000-2009 –> 2010-2019 11.344579 54374.589 54463.741
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11586.8024 11626.6854 3.3456537 2000-2009 –> 2010-2019 7.422285 24710.783 24790.914
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26266.6058 26311.0721 5.3488823 2000-2009 –> 2010-2019 11.251113 54230.459 54319.611
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 11843.5720 11877.7574 3.5480327 2000-2009 –> 2010-2019 7.685616 25034.444 25103.128
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11578.6039 11618.4870 3.3394341 2000-2009 –> 2010-2019 7.379056 24660.250 24740.381
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26615.1469 26659.6132 5.5733102 2000-2009 –> 2010-2019 11.706815 54915.314 55004.466
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 11747.5525 11781.7379 3.4715473 2000-2009 –> 2010-2019 7.577166 24902.424 24971.108
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate_star 11880.9823 11909.4702 3.5799111 2000-2009 –> 2010-2019 7.717513 25069.875 25127.112
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11586.5282 11626.4112 3.3454455 2000-2009 –> 2010-2019 7.422074 24710.505 24790.636
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26326.9588 26371.4251 5.3870866 2000-2009 –> 2010-2019 11.306983 54316.961 54406.113
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 11585.9265 11620.1119 3.3465074 2000-2009 –> 2010-2019 7.423139 24707.908 24776.592
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 21500.5795 21543.5228 5.6443931 2000-2009 –> 2010-2019 12.041563 42551.857 42637.323
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 21551.0423 21587.8509 5.6879672 2000-2009 –> 2010-2019 12.093619 42608.832 42682.089
obs Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 21596.5368 21633.3454 5.7260258 2000-2009 –> 2010-2019 12.146418 42669.093 42742.349
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21571.8186 21614.7619 5.7036438 2000-2009 –> 2010-2019 12.109157 42631.470 42716.935
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 4364.2435 4400.2045 1.3635520 2000-2009 –> 2010-2019 2.703987 8805.301 8877.415
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 4177.1197 4207.9434 1.2668259 2000-2009 –> 2010-2019 2.507369 8415.906 8477.718
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 4228.9181 4259.7418 1.2931771 2000-2009 –> 2010-2019 2.553554 8508.721 8570.533
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 21587.6861 21624.4947 5.7186018 2000-2009 –> 2010-2019 12.124763 42645.987 42719.243
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 4172.9474 4208.9084 1.2637219 2000-2009 –> 2010-2019 2.497733 8400.081 8472.195
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4219.2387 4255.1996 1.2871880 2000-2009 –> 2010-2019 2.543590 8492.873 8564.987
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21503.1852 21546.1285 5.6465494 2000-2009 –> 2010-2019 12.017517 42528.097 42613.563
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21562.4571 21605.4004 5.6958223 2000-2009 –> 2010-2019 12.108309 42629.097 42714.563
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 21569.8980 21606.7065 5.7037102 2000-2009 –> 2010-2019 12.117629 42635.974 42709.230
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21506.0355 21548.9788 5.6489091 2000-2009 –> 2010-2019 12.051189 42562.443 42647.909
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21571.0033 21613.9466 5.7029622 2000-2009 –> 2010-2019 12.104990 42627.157 42712.623
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 4364.0634 4394.8871 1.3645387 2000-2009 –> 2010-2019 2.803700 8986.900 9048.712
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 4222.9847 4248.6711 1.2911570 2000-2009 –> 2010-2019 2.565672 8529.635 8581.145
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate_star 4276.2970 4301.9834 1.3188076 2000-2009 –> 2010-2019 2.616952 8630.452 8681.962
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 4224.9722 4255.7959 1.2911506 2000-2009 –> 2010-2019 2.555423 8512.756 8574.568
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 4277.4411 4308.2648 1.3183591 2000-2009 –> 2010-2019 2.609350 8619.306 8681.118
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 6324.1899 6357.6095 1.2321413 2000-2009 –> 2010-2019 2.586005 13141.143 13208.095
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16952.3511 16993.5194 5.9334088 2000-2009 –> 2010-2019 12.860154 34039.884 34121.945
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 6159.7128 6198.7023 1.1803665 2000-2009 –> 2010-2019 2.531782 12971.514 13049.626
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 5839.4547 5872.8743 1.0873650 2000-2009 –> 2010-2019 2.419482 12592.412 12659.365
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 5898.0032 5931.4227 1.1039062 2000-2009 –> 2010-2019 2.445302 12678.392 12745.344
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 16956.8689 16992.1560 5.9407183 2000-2009 –> 2010-2019 12.867925 34042.741 34113.079
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 5800.8382 5839.8277 1.0760359 2000-2009 –> 2010-2019 2.314995 12269.285 12347.396
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5870.9603 5909.9498 1.0956698 2000-2009 –> 2010-2019 2.349369 12386.148 12464.259
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16945.4502 16986.6185 5.9256794 2000-2009 –> 2010-2019 12.835128 34020.257 34102.318
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16938.9110 16980.0793 5.9183645 2000-2009 –> 2010-2019 12.828025 34013.874 34095.935
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 16950.4565 16985.7436 5.9335269 2000-2009 –> 2010-2019 12.859204 34035.204 34105.542
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16946.3499 16987.5182 5.9266866 2000-2009 –> 2010-2019 12.840125 34024.095 34106.156
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 16944.4996 16979.7866 5.9268541 2000-2009 –> 2010-2019 12.844501 34023.342 34093.681
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 16949.3375 16990.5058 5.9300322 2000-2009 –> 2010-2019 12.860913 34039.908 34121.969
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 5944.8169 5972.6665 1.1178892 2000-2009 –> 2010-2019 2.481809 12789.015 12844.808
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate_star 6020.6281 6048.4777 1.1399579 2000-2009 –> 2010-2019 2.517756 12904.838 12960.632
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 5925.1399 5958.5594 1.1116580 2000-2009 –> 2010-2019 2.421276 12610.781 12677.734
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 6009.7786 6043.1982 1.1361870 2000-2009 –> 2010-2019 2.465857 12755.469 12822.422
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 16954.7039 16989.9910 5.9382894 2000-2009 –> 2010-2019 12.869734 34043.689 34114.027
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 16948.9992 16984.2863 5.9318938 2000-2009 –> 2010-2019 12.865177 34039.334 34109.672
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 9014.7749 9051.6010 0.9020114 2000-2009 –> 2010-2019 1.909723 18907.548 18981.274
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6374.3065 6409.7359 3.7004915 2000-2009 –> 2010-2019 7.460486 12094.487 12164.545
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 9481.2281 9518.0542 0.9656507 2000-2009 –> 2010-2019 2.033756 19777.128 19850.854
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 6348.9897 6379.3577 3.6636759 2000-2009 –> 2010-2019 7.393197 12050.244 12110.293
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6333.1946 6368.6240 3.6358255 2000-2009 –> 2010-2019 7.342726 12023.794 12093.853
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9497.8924 9540.8563 0.9677226 2000-2009 –> 2010-2019 2.035440 19793.273 19879.286
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6348.9640 6384.3933 3.6604949 2000-2009 –> 2010-2019 7.393638 12054.238 12124.296
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 9163.2830 9200.1091 0.9218039 2000-2009 –> 2010-2019 1.952209 19210.300 19284.025
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9150.3557 9193.3196 0.9197950 2000-2009 –> 2010-2019 1.945180 19165.542 19251.555
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 6368.1714 6398.5394 3.6939356 2000-2009 –> 2010-2019 7.449460 12083.878 12143.928
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9450.7601 9493.7239 0.9610791 2000-2009 –> 2010-2019 2.020940 19694.992 19781.005
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6343.2455 6378.6748 3.6515296 2000-2009 –> 2010-2019 7.374290 12042.726 12112.784
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 9249.7633 9280.4518 0.9338020 2000-2009 –> 2010-2019 1.979182 19394.711 19456.149
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 8883.5491 8920.3752 0.8848762 2000-2009 –> 2010-2019 1.894461 18789.187 18862.912
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 6362.9371 6388.2437 3.6888158 2000-2009 –> 2010-2019 7.422502 12064.513 12114.554
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 6346.3167 6376.6847 3.6594790 2000-2009 –> 2010-2019 7.370243 12037.083 12097.133
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 6367.7317 6398.0997 3.6932391 2000-2009 –> 2010-2019 7.436070 12076.396 12136.446
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 9328.6573 9359.3457 0.9446319 2000-2009 –> 2010-2019 1.982072 19420.800 19482.238
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9201.7034 9238.5296 0.9269948 2000-2009 –> 2010-2019 1.952622 19216.527 19290.252
obs Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6360.5235 6390.8915 3.6818410 2000-2009 –> 2010-2019 7.412686 12062.516 12122.566
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 13408.6945 13442.6061 0.6763017 2000-2009 –> 2010-2019 1.356597 24448.387 24515.209
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 13262.7537 13303.4476 0.6686700 2000-2009 –> 2010-2019 1.326939 23953.264 24033.450
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + phosphate_star 16366.7176 16400.6292 0.8485688 2000-2009 –> 2010-2019 1.749457 30403.122 30469.944
obs Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 14117.9746 14159.3282 3.2401240 2000-2009 –> 2010-2019 6.490172 26668.032 26749.906
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 16336.7926 16377.4866 0.8464932 2000-2009 –> 2010-2019 1.734302 30219.153 30299.339
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 13345.0866 13385.7805 0.6729065 2000-2009 –> 2010-2019 1.352322 24372.963 24453.149
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14074.5551 14115.9087 3.2143470 2000-2009 –> 2010-2019 6.484972 26655.071 26736.944
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14118.6651 14160.0186 3.2405356 2000-2009 –> 2010-2019 6.484545 26659.748 26741.622
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 13210.7065 13258.1827 0.6659034 2000-2009 –> 2010-2019 1.318961 23818.404 23911.955
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 14074.3475 14109.7934 3.2154070 2000-2009 –> 2010-2019 6.493675 26664.128 26734.306
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 14117.0780 14152.5239 3.2407818 2000-2009 –> 2010-2019 6.485759 26657.600 26727.778
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 14045.2872 14086.6408 3.1970872 2000-2009 –> 2010-2019 6.474746 26636.171 26718.045
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14031.1048 14072.4583 3.1887569 2000-2009 –> 2010-2019 6.430239 26568.426 26650.300
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14091.6063 14132.9599 3.2244453 2000-2009 –> 2010-2019 6.471209 26636.785 26718.659
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 15809.0041 15849.6981 0.8129057 2000-2009 –> 2010-2019 1.562715 27888.792 27968.978
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15777.9970 15825.4732 0.8108501 2000-2009 –> 2010-2019 1.559200 27839.009 27932.560
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 14089.6077 14125.0536 3.2244461 2000-2009 –> 2010-2019 6.473999 26636.930 26707.108
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14019.3735 14060.7271 3.1818827 2000-2009 –> 2010-2019 6.430692 26567.591 26649.465
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 15327.0790 15367.7729 0.7834023 2000-2009 –> 2010-2019 1.586070 28133.732 28213.918
mod Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 16779.3874 16820.0814 0.8757266 2000-2009 –> 2010-2019 1.723521 30169.661 30249.847
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 26144.9355 26189.4609 5.1376537 2000-2009 –> 2010-2019 10.468058 47731.278 47818.903
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 34061.1745 34107.4480 5.3787820 2000-2009 –> 2010-2019 11.340642 62888.430 62979.580
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 27063.6332 27101.7978 5.7216386 2000-2009 –> 2010-2019 11.497546 49207.927 49283.034
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26744.1378 26788.6633 5.5105379 2000-2009 –> 2010-2019 11.053901 48603.760 48691.385
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 35251.8307 35298.1042 5.9949673 2000-2009 –> 2010-2019 12.274118 64545.340 64636.490
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 27195.0936 27233.2582 5.8102705 2000-2009 –> 2010-2019 11.995829 49817.397 49892.504
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 34376.2175 34415.8805 5.5363852 2000-2009 –> 2010-2019 11.660642 63443.132 63521.260
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26576.5973 26621.1227 5.4036326 2000-2009 –> 2010-2019 11.064767 48582.875 48670.500
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 34283.6171 34329.8906 5.4888817 2000-2009 –> 2010-2019 11.507548 63196.144 63287.294
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26667.1248 26711.6502 5.4611368 2000-2009 –> 2010-2019 11.204645 48774.177 48861.802
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 34300.6872 34346.9607 5.4974232 2000-2009 –> 2010-2019 11.526300 63228.457 63319.607
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 26717.8303 26762.3557 5.4936125 2000-2009 –> 2010-2019 11.319579 48924.324 49011.949
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 34376.3942 34422.6677 5.5354658 2000-2009 –> 2010-2019 11.658671 63443.764 63534.914
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 27456.7077 27501.2331 5.9893582 2000-2009 –> 2010-2019 12.091486 49986.278 50073.903
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 35492.3886 35538.6621 6.1277833 2000-2009 –> 2010-2019 12.536135 64969.041 65060.191
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 27625.5105 27670.0360 6.1087530 2000-2009 –> 2010-2019 12.380281 50346.101 50433.726
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35558.5580 35604.8315 6.1648298 2000-2009 –> 2010-2019 12.614228 65092.624 65183.774
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26812.6972 26857.2226 5.5548921 2000-2009 –> 2010-2019 11.406532 49049.865 49137.490
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 34432.0029 34478.2764 5.5635766 2000-2009 –> 2010-2019 11.645581 63438.665 63529.815
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35586.7591 35633.0326 6.1806868 2000-2009 –> 2010-2019 12.649201 65147.437 65238.587
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19479.5323 19522.3074 4.4988152 2000-2009 –> 2010-2019 8.789716 37395.992 37481.070
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19988.7877 20031.6047 4.7701276 2000-2009 –> 2010-2019 9.428968 38192.674 38277.709
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 19743.7548 19786.5299 4.6808846 2000-2009 –> 2010-2019 9.162546 37931.028 38016.106
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20021.3713 20064.1883 4.7933823 2000-2009 –> 2010-2019 9.469523 38248.052 38333.087
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 20396.1545 20432.8548 5.0706681 2000-2009 –> 2010-2019 10.031484 38984.284 39057.170
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 18660.8192 18703.5943 3.9784177 2000-2009 –> 2010-2019 7.868973 35967.475 36052.553
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 20158.8451 20201.6621 4.8927512 2000-2009 –> 2010-2019 9.667326 38513.643 38598.677
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18913.8302 18956.6053 4.1324639 2000-2009 –> 2010-2019 8.202087 36500.646 36585.724
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20207.1295 20249.9466 4.9281388 2000-2009 –> 2010-2019 9.739912 38609.655 38694.689
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 19795.5963 19838.3714 4.7174629 2000-2009 –> 2010-2019 9.250289 38053.546 38138.624
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20028.0965 20070.9135 4.7981961 2000-2009 –> 2010-2019 9.480102 38262.356 38347.391
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 20153.8202 20190.5205 4.8905427 2000-2009 –> 2010-2019 9.762428 38630.700 38703.586
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20073.3446 20116.1616 4.8307102 2000-2009 –> 2010-2019 9.651327 38487.163 38572.197
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18961.5439 19004.3190 4.1621760 2000-2009 –> 2010-2019 8.270212 36606.851 36691.930
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20206.1593 20248.9763 4.9274253 2000-2009 –> 2010-2019 9.741174 38611.210 38696.244
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 20208.9792 20245.6794 4.9309712 2000-2009 –> 2010-2019 9.768839 38642.767 38715.653
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19239.2681 19282.0432 4.3394099 2000-2009 –> 2010-2019 8.611365 37128.177 37213.255
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 19375.7558 19418.5309 4.4292577 2000-2009 –> 2010-2019 8.743763 37326.372 37411.450
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 19621.7918 19658.4561 4.5973251 2000-2009 –> 2010-2019 9.134593 37883.838 37956.763
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19425.8896 19468.6647 4.4627251 2000-2009 –> 2010-2019 8.804610 37415.890 37500.968
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19163.1155 19205.6685 4.7067436 2000-2009 –> 2010-2019 9.132639 35540.211 35624.363
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21625.5120 21668.6036 5.3795180 2000-2009 –> 2010-2019 10.440210 40994.964 41080.515
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21698.7302 21741.8217 5.4363428 2000-2009 –> 2010-2019 10.555533 41141.347 41226.898
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 22118.0337 22154.9693 5.7751785 2000-2009 –> 2010-2019 11.185472 41910.736 41984.065
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18697.8097 18740.3627 4.3792532 2000-2009 –> 2010-2019 8.532587 34717.054 34801.206
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 22113.7868 22156.8783 5.7700033 2000-2009 –> 2010-2019 11.171923 41898.628 41984.179
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18890.0864 18932.6394 4.5117239 2000-2009 –> 2010-2019 8.781309 35064.750 35148.902
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21707.3810 21750.4725 5.4430962 2000-2009 –> 2010-2019 10.572046 41162.123 41247.674
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 21779.0821 21816.0177 5.5009738 2000-2009 –> 2010-2019 10.741392 41368.696 41442.025
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 19112.3660 19154.9190 4.6698670 2000-2009 –> 2010-2019 9.171898 35585.486 35669.638
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21734.4817 21777.5733 5.4643074 2000-2009 –> 2010-2019 10.640952 41248.149 41333.699
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18903.6302 18946.1832 4.5212047 2000-2009 –> 2010-2019 8.801483 35092.375 35176.527
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22159.9258 22203.0173 5.8083365 2000-2009 –> 2010-2019 11.247200 41988.156 42073.707
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 19110.4529 19146.9268 4.6699299 2000-2009 –> 2010-2019 9.172861 35582.699 35654.829
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 22119.1215 22156.0571 5.7760802 2000-2009 –> 2010-2019 11.250383 41986.698 42060.027
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 19023.7196 19066.2726 4.6061448 2000-2009 –> 2010-2019 9.028835 35396.736 35480.888
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 22119.6863 22162.7778 5.7748906 2000-2009 –> 2010-2019 11.237857 41976.065 42061.616
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 19192.4475 19235.0005 4.7281901 2000-2009 –> 2010-2019 9.260057 35702.756 35786.908
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 19233.7960 19270.2700 4.7600639 2000-2009 –> 2010-2019 9.364790 35831.898 35904.029
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 19215.8393 19258.3923 4.7453633 2000-2009 –> 2010-2019 9.296066 35749.499 35833.651
obs Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate 32986.7602 33026.2682 5.2771749 2000-2009 –> 2010-2019 10.670774 62960.029 63038.428
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 32937.3465 32983.4391 5.2518740 2000-2009 –> 2010-2019 10.601746 62834.046 62925.511
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 24134.9782 24179.6221 3.8737584 2000-2009 –> 2010-2019 7.974502 46840.775 46929.493
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 32860.7005 32906.7932 5.2143814 2000-2009 –> 2010-2019 10.426945 62506.441 62597.906
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 24403.6586 24448.3026 3.9952858 2000-2009 –> 2010-2019 8.207256 47324.034 47412.752
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 33117.7366 33163.8293 5.3411822 2000-2009 –> 2010-2019 10.665428 62968.092 63059.557
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 24417.2878 24461.9317 4.0015511 2000-2009 –> 2010-2019 8.208961 47328.978 47417.696
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 24523.1257 24561.3919 4.0514711 2000-2009 –> 2010-2019 8.282326 47477.371 47553.415
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 24394.1230 24438.7670 3.9909082 2000-2009 –> 2010-2019 8.195473 47300.390 47389.108
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 32810.8030 32856.8957 5.1901172 2000-2009 –> 2010-2019 10.382831 62419.718 62511.183
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 24987.3384 25025.6046 4.2735724 2000-2009 –> 2010-2019 8.610392 48139.926 48215.970
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 32902.8021 32942.3101 5.2359216 2000-2009 –> 2010-2019 10.496966 62635.899 62714.297
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 24646.4775 24691.1214 4.1083921 2000-2009 –> 2010-2019 8.421998 47758.032 47846.750
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 32690.4777 32736.5703 5.1320686 2000-2009 –> 2010-2019 10.301026 62255.133 62346.598
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 24883.5005 24928.1444 4.2218864 2000-2009 –> 2010-2019 8.658555 48220.598 48309.316
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 32865.2524 32911.3450 5.2166005 2000-2009 –> 2010-2019 10.458881 62565.861 62657.326
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 24896.3268 24940.9707 4.2281167 2000-2009 –> 2010-2019 8.659683 48224.198 48312.916
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 32862.6661 32908.7587 5.2153395 2000-2009 –> 2010-2019 10.459846 62567.374 62658.839
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 24981.4743 25019.7405 4.2706922 2000-2009 –> 2010-2019 8.721771 48342.573 48418.617
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 32863.2781 32902.7861 5.2166131 2000-2009 –> 2010-2019 10.461764 62567.172 62645.571
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 40378.2499 40425.9658 4.8221617 2000-2009 –> 2010-2019 9.617158 79408.036 79503.243
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 40571.1677 40618.8836 4.8916179 2000-2009 –> 2010-2019 9.803937 79916.754 80011.961
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 40376.5353 40417.4347 4.8222638 2000-2009 –> 2010-2019 9.617291 79404.407 79486.013
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 40598.9773 40639.8766 4.9024392 2000-2009 –> 2010-2019 9.824448 79968.306 80049.912
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 40496.0857 40543.8016 4.8644681 2000-2009 –> 2010-2019 9.734774 79729.460 79824.667
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 40520.2299 40561.1292 4.8739047 2000-2009 –> 2010-2019 9.757540 79787.308 79868.915
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 28546.6001 28593.1094 2.9863781 2000-2009 –> 2010-2019 5.916542 54528.096 54620.508
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 40994.6694 41042.3853 5.0476201 2000-2009 –> 2010-2019 10.014646 80484.940 80580.148
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 28968.0236 29014.5329 3.0993055 2000-2009 –> 2010-2019 6.118299 55260.474 55352.886
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 40534.3680 40582.0839 4.8782922 2000-2009 –> 2010-2019 9.724927 79704.090 79799.298
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 28992.0826 29038.5919 3.1058798 2000-2009 –> 2010-2019 6.132863 55312.051 55404.463
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29107.0181 29153.5273 3.1374800 2000-2009 –> 2010-2019 6.204013 55562.147 55654.560
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 40719.0044 40766.7203 4.9455199 2000-2009 –> 2010-2019 9.814269 79948.201 80043.408
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 40497.4379 40545.1538 4.8649557 2000-2009 –> 2010-2019 9.701534 79640.025 79735.232
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 28853.0349 28892.9000 3.0686159 2000-2009 –> 2010-2019 6.085990 55137.900 55217.111
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 29216.6997 29256.5648 3.1684936 2000-2009 –> 2010-2019 6.261192 55758.293 55837.503
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 28720.3504 28766.8597 3.0324301 2000-2009 –> 2010-2019 5.972909 54738.435 54830.847
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 29159.3899 29205.8991 3.1519855 2000-2009 –> 2010-2019 6.199218 55548.779 55641.191
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 29170.8608 29217.3700 3.1551715 2000-2009 –> 2010-2019 6.207336 55577.090 55669.503
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 29231.9699 29271.8350 3.1727578 2000-2009 –> 2010-2019 6.269813 55788.220 55867.430
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 38165.3520 38213.6386 3.2796619 2000-2009 –> 2010-2019 6.266486 71729.895 71825.825
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 42757.2264 42805.7055 4.1465458 2000-2009 –> 2010-2019 8.451714 82451.981 82548.327
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 43244.1231 43292.6022 4.2829435 2000-2009 –> 2010-2019 8.774529 83523.177 83619.523
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 42756.8066 42798.3601 4.1469814 2000-2009 –> 2010-2019 8.460046 82474.822 82557.404
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 43254.8969 43296.4504 4.2865817 2000-2009 –> 2010-2019 8.795847 83586.100 83668.682
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 38690.4211 38738.7078 3.3994563 2000-2009 –> 2010-2019 6.550959 72971.442 73067.371
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 43025.0026 43073.4817 4.2210132 2000-2009 –> 2010-2019 8.619509 83015.377 83111.723
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 43057.2782 43098.8317 4.2306412 2000-2009 –> 2010-2019 8.664249 83155.249 83237.831
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 38665.3758 38713.6624 3.3936441 2000-2009 –> 2010-2019 6.475464 72647.901 72743.830
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 42690.6064 42739.0855 4.1282241 2000-2009 –> 2010-2019 8.392794 82254.759 82351.105
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42850.9067 42899.3858 4.1724473 2000-2009 –> 2010-2019 8.480190 82553.903 82650.248
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 38680.7449 38729.0315 3.3972096 2000-2009 –> 2010-2019 6.484988 72689.055 72784.985
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 38072.9810 38121.2677 3.2590284 2000-2009 –> 2010-2019 6.161927 71257.037 71352.967
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42871.6259 42920.1051 4.1781978 2000-2009 –> 2010-2019 8.490841 82590.294 82686.640
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42816.6832 42865.1623 4.1629662 2000-2009 –> 2010-2019 8.462815 82494.396 82590.742
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 38876.1313 38917.5199 3.4433360 2000-2009 –> 2010-2019 6.578308 73084.941 73167.166
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 38434.8805 38483.1672 3.3406179 2000-2009 –> 2010-2019 6.372782 72200.551 72296.481
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 38898.3984 38939.7870 3.4485786 2000-2009 –> 2010-2019 6.591514 73141.076 73223.301
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 38430.0944 38478.3810 3.3395257 2000-2009 –> 2010-2019 6.373593 72204.144 72300.074
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 38439.3709 38480.7595 3.3420996 2000-2009 –> 2010-2019 6.380585 72230.845 72313.070
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 42181.9707 42231.0855 3.1290501 2000-2009 –> 2010-2019 5.974887 80208.051 80305.819
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 47397.7347 47447.1211 3.8490768 2000-2009 –> 2010-2019 7.889865 90785.452 90883.484
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 42227.0111 42276.1258 3.1376167 2000-2009 –> 2010-2019 5.986175 80267.831 80365.599
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 47481.4417 47523.7729 3.8683877 2000-2009 –> 2010-2019 7.921949 90915.780 90999.808
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 42903.4243 42945.5226 3.2695238 2000-2009 –> 2010-2019 6.233266 81553.569 81637.370
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 42197.8642 42246.9789 3.1320703 2000-2009 –> 2010-2019 5.975780 80212.410 80310.177
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 42977.1998 43019.2981 3.2841985 2000-2009 –> 2010-2019 6.259406 81686.887 81770.688
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 48122.3033 48171.6898 4.0154179 2000-2009 –> 2010-2019 7.998234 91287.396 91385.428
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 48153.5158 48202.9023 4.0227427 2000-2009 –> 2010-2019 8.014755 91354.137 91452.169
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 46951.7349 47001.1213 3.7501320 2000-2009 –> 2010-2019 7.576658 89500.096 89598.128
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42710.9784 42760.0932 3.2311598 2000-2009 –> 2010-2019 6.173396 81250.804 81348.572
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 47005.2598 47054.6463 3.7618709 2000-2009 –> 2010-2019 7.602808 89611.535 89709.567
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 48167.4640 48216.8504 4.0260204 2000-2009 –> 2010-2019 8.022490 91385.280 91483.312
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 42454.5792 42503.6940 3.1812598 2000-2009 –> 2010-2019 6.110727 80927.331 81025.099
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42631.2695 42680.3843 3.2155637 2000-2009 –> 2010-2019 6.124878 80997.560 81095.327
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 47016.5470 47065.9335 3.7643511 2000-2009 –> 2010-2019 7.597223 89590.437 89688.469
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 42670.8103 42712.9087 3.2236823 2000-2009 –> 2010-2019 6.179611 81280.241 81364.042
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42668.3644 42717.4792 3.2228124 2000-2009 –> 2010-2019 6.157488 81168.509 81266.277
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 46998.4131 47047.7996 3.7603673 2000-2009 –> 2010-2019 7.600093 89599.825 89697.857
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 47294.8260 47337.1572 3.8264642 2000-2009 –> 2010-2019 7.690168 89990.148 90074.175
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 14967.4197 15009.8898 2.5252196 2000-2009 –> 2010-2019 4.820766 28399.878 28484.351
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 14948.7331 14985.1360 2.5186195 2000-2009 –> 2010-2019 4.818460 28390.339 28462.744
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14687.1339 14729.6039 2.4166168 2000-2009 –> 2010-2019 4.614756 27860.995 27945.468
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 14938.8607 14981.3307 2.5139341 2000-2009 –> 2010-2019 4.805113 28359.964 28444.436
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 14880.5604 14916.9633 2.4918337 2000-2009 –> 2010-2019 4.747691 28207.003 28279.408
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14849.9433 14892.4134 2.4791190 2000-2009 –> 2010-2019 4.733561 28174.644 28259.117
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24082.2417 24127.1648 3.4554341 2000-2009 –> 2010-2019 6.955566 45470.155 45559.136
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14704.1174 14746.5875 2.4230624 2000-2009 –> 2010-2019 4.627191 27894.209 27978.681
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14978.1959 15020.6659 2.5294912 2000-2009 –> 2010-2019 4.827740 28417.672 28502.145
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 24070.6477 24115.5709 3.4510111 2000-2009 –> 2010-2019 6.944366 45443.057 45532.039
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 14884.7133 14921.1162 2.4934573 2000-2009 –> 2010-2019 4.751442 28216.777 28289.182
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14857.7807 14900.2508 2.4821682 2000-2009 –> 2010-2019 4.739119 28189.114 28273.587
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24080.0422 24124.9654 3.4545946 2000-2009 –> 2010-2019 6.953940 45466.158 45555.140
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 24102.8353 24141.3408 3.4640695 2000-2009 –> 2010-2019 6.974565 45512.402 45588.672
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 24127.6962 24172.6193 3.4728291 2000-2009 –> 2010-2019 6.985907 45545.145 45634.127
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 24081.2535 24126.1766 3.4550569 2000-2009 –> 2010-2019 6.953384 45465.041 45554.023
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 24097.4162 24135.9217 3.4619963 2000-2009 –> 2010-2019 6.970422 45502.264 45578.534
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 24081.9592 24126.8823 3.4553262 2000-2009 –> 2010-2019 6.953861 45466.220 45555.202
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 24080.3284 24118.8339 3.4554672 2000-2009 –> 2010-2019 6.954207 45463.059 45539.329
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 24094.5250 24133.0305 3.4608908 2000-2009 –> 2010-2019 6.968278 45497.004 45573.274
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 17394.3084 17425.7310 2.1704660 2000-2009 –> 2010-2019 4.223339 33132.752 33195.225
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 17248.2390 17285.9460 2.1302848 2000-2009 –> 2010-2019 4.116921 32747.423 32822.391
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 17396.2081 17433.9151 2.1704385 2000-2009 –> 2010-2019 4.217862 33117.098 33192.066
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 33304.6858 33352.1082 3.1726048 2000-2009 –> 2010-2019 6.311756 62320.361 62414.269
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17250.1601 17294.1516 2.1302636 2000-2009 –> 2010-2019 4.110560 32727.834 32815.296
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 33305.7169 33353.1393 3.1728577 2000-2009 –> 2010-2019 6.319028 62346.665 62440.573
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 17540.9927 17578.6997 2.2104605 2000-2009 –> 2010-2019 4.288582 33371.358 33446.325
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17434.6519 17478.6434 2.1804437 2000-2009 –> 2010-2019 4.206370 33079.897 33167.360
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 33302.7539 33350.1763 3.1721310 2000-2009 –> 2010-2019 6.311874 62320.560 62414.468
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 17255.8826 17293.5896 2.1323407 2000-2009 –> 2010-2019 4.121386 32763.982 32838.950
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 17514.1295 17551.8365 2.2029795 2000-2009 –> 2010-2019 4.281638 33346.394 33421.361
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17257.8774 17301.8689 2.1323393 2000-2009 –> 2010-2019 4.114548 32742.650 32830.112
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 33306.7192 33354.1416 3.1731035 2000-2009 –> 2010-2019 6.319948 62350.093 62444.001
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 17436.7339 17474.4409 2.1815672 2000-2009 –> 2010-2019 4.208083 33082.122 33157.090
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 33294.7700 33342.1923 3.1701738 2000-2009 –> 2010-2019 6.301086 62280.705 62374.613
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 33301.2407 33348.6631 3.1717600 2000-2009 –> 2010-2019 6.311808 62320.146 62414.054
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 33304.2524 33344.9001 3.1729890 2000-2009 –> 2010-2019 6.312884 62320.608 62401.100
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 33308.0137 33348.6614 3.1739117 2000-2009 –> 2010-2019 6.321441 62351.848 62432.341
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 33301.9342 33349.3566 3.1719300 2000-2009 –> 2010-2019 6.311977 62320.838 62414.746
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 33303.4179 33344.0657 3.1727843 2000-2009 –> 2010-2019 6.312841 62320.356 62400.849
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 21062.7958 21095.4729 1.9122944 2000-2009 –> 2010-2019 3.761233 39077.848 39142.503
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 20813.5321 20852.7447 1.8656908 2000-2009 –> 2010-2019 3.588602 38205.527 38283.113
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 21000.1735 21039.3861 1.9001984 2000-2009 –> 2010-2019 3.743060 38988.079 39065.665
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 56816.6218 56867.8468 3.1009099 2000-2009 –> 2010-2019 6.090386 104929.170 105030.557
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20641.1350 20686.8830 1.8340136 2000-2009 –> 2010-2019 3.523991 37864.244 37954.761
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 56966.0264 57017.2513 3.1217832 2000-2009 –> 2010-2019 6.148031 105312.473 105413.859
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 21112.8907 21152.1032 1.9213468 2000-2009 –> 2010-2019 3.714122 38856.827 38934.412
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 21124.2670 21163.4795 1.9234943 2000-2009 –> 2010-2019 3.820713 39369.551 39447.137
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20736.6749 20782.4228 1.8513001 2000-2009 –> 2010-2019 3.572860 38123.723 38214.240
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 56919.5172 56970.7422 3.1152704 2000-2009 –> 2010-2019 6.131851 105204.746 105306.133
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 20819.0323 20858.2449 1.8666987 2000-2009 –> 2010-2019 3.590922 38217.768 38295.353
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20644.9482 20690.6962 1.8347004 2000-2009 –> 2010-2019 3.525776 37873.809 37964.325
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 56965.1593 57016.3843 3.1216616 2000-2009 –> 2010-2019 6.147242 105307.387 105408.773
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 20745.6130 20784.8256 1.8532896 2000-2009 –> 2010-2019 3.589134 38203.821 38281.407
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 56964.0266 57007.9336 3.1217832 2000-2009 –> 2010-2019 6.148192 105309.488 105396.391
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 56846.9472 56898.1722 3.1051353 2000-2009 –> 2010-2019 6.095414 104964.635 105066.021
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 56997.2147 57048.4396 3.1261582 2000-2009 –> 2010-2019 6.149997 105328.425 105429.812
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 56959.9174 57003.8244 3.1212072 2000-2009 –> 2010-2019 6.136145 105232.728 105319.631
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 56988.5064 57039.7314 3.1249360 2000-2009 –> 2010-2019 6.146107 105302.828 105404.214
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 57004.3125 57048.2196 3.1274355 2000-2009 –> 2010-2019 6.155133 105357.919 105444.822
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 48468.0876 48518.3511 2.9363017 2000-2009 –> 2010-2019 5.802831 86566.342 86665.251
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 48743.2132 48793.4767 2.9782141 2000-2009 –> 2010-2019 5.902319 87147.841 87246.750
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 48502.7762 48545.8592 2.9418566 2000-2009 –> 2010-2019 5.821120 86667.318 86752.097
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 48644.7550 48695.0185 2.9631468 2000-2009 –> 2010-2019 5.865786 86935.870 87034.779
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 48720.1066 48763.1896 2.9749777 2000-2009 –> 2010-2019 5.902354 87139.959 87224.738
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 48485.7270 48535.9905 2.9389711 2000-2009 –> 2010-2019 5.810292 86609.716 86708.625
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10945.5139 10987.3861 1.5658354 2000-2009 –> 2010-2019 3.104047 20562.425 20645.329
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 48648.0416 48698.3051 2.9636485 2000-2009 –> 2010-2019 5.863991 86926.963 87025.872
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 11307.5633 11343.4537 1.6663034 2000-2009 –> 2010-2019 3.393726 21524.799 21595.859
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10931.8207 10973.6928 1.5621770 2000-2009 –> 2010-2019 3.099761 20546.612 20629.516
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 48813.7819 48864.0454 2.9890606 2000-2009 –> 2010-2019 5.915556 87230.999 87329.909
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 11276.4800 11312.3704 1.6574792 2000-2009 –> 2010-2019 3.361904 21424.127 21495.188
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10944.6500 10986.5221 1.5656044 2000-2009 –> 2010-2019 3.103633 20560.943 20643.847
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 48618.1982 48668.4617 2.9590958 2000-2009 –> 2010-2019 5.854741 86872.149 86971.058
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 10965.6598 11001.5502 1.5717703 2000-2009 –> 2010-2019 3.112407 20588.750 20659.811
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 48867.2320 48910.3150 2.9976110 2000-2009 –> 2010-2019 5.925506 87289.815 87374.595
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 11316.5183 11352.4087 1.6688543 2000-2009 –> 2010-2019 3.299885 21235.638 21306.699
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11320.3590 11356.2494 1.6699496 2000-2009 –> 2010-2019 3.304058 21249.265 21320.326
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 11314.3459 11350.2363 1.6682352 2000-2009 –> 2010-2019 3.298692 21231.637 21302.697
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 11341.9615 11371.8702 1.6766962 2000-2009 –> 2010-2019 3.313276 21276.715 21335.933
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35560.7170 35608.9634 2.7837502 2000-2009 –> 2010-2019 5.488958 67639.022 67734.876
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 35711.8067 35760.0530 2.8128038 2000-2009 –> 2010-2019 5.573254 68058.609 68154.463
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 24657.0209 24698.0748 1.4355008 2000-2009 –> 2010-2019 2.937099 47012.758 47094.128
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 35578.0094 35619.3634 2.7874433 2000-2009 –> 2010-2019 5.499311 67686.972 67769.132
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate_star 35728.1359 35769.4899 2.8163489 2000-2009 –> 2010-2019 5.582442 68100.062 68182.222
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 35650.5548 35698.8012 2.8009891 2000-2009 –> 2010-2019 5.539478 67891.267 67987.121
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35680.8393 35722.1934 2.8072102 2000-2009 –> 2010-2019 5.555815 67968.526 68050.686
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 23371.2378 23419.1341 1.3079739 2000-2009 –> 2010-2019 2.766650 45374.006 45468.937
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate 24346.9000 24387.9539 1.4036970 2000-2009 –> 2010-2019 2.956428 47112.495 47193.865
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 22881.8787 22929.7749 1.2625407 2000-2009 –> 2010-2019 2.606787 43884.693 43979.624
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 35572.7929 35621.0392 2.7860613 2000-2009 –> 2010-2019 5.495450 67671.612 67767.466
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22896.5999 22944.4961 1.2638841 2000-2009 –> 2010-2019 2.609544 43912.275 44007.206
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 35635.2020 35683.4484 2.7980355 2000-2009 –> 2010-2019 5.538574 67885.851 67981.704
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate 24014.2047 24055.2586 1.3703610 2000-2009 –> 2010-2019 2.897915 46579.704 46661.074
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 22933.6724 22981.5687 1.2672737 2000-2009 –> 2010-2019 2.623733 44047.184 44142.116
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 35752.9811 35801.2275 2.8207738 2000-2009 –> 2010-2019 5.601592 68197.425 68293.278
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate 23829.5647 23870.6186 1.3522030 2000-2009 –> 2010-2019 2.839805 46070.674 46152.044
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22893.5585 22941.4547 1.2636065 2000-2009 –> 2010-2019 2.609027 43907.060 44001.991
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 35618.2145 35666.4609 2.7947711 2000-2009 –> 2010-2019 5.527802 67832.426 67928.279
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 23084.1353 23125.1892 1.2813092 2000-2009 –> 2010-2019 2.642516 44238.410 44319.779
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12047.5849 12088.8243 2.2960054 2000-2009 –> 2010-2019 4.731846 22360.752 22441.959
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + silicate + phosphate + phosphate_star 12052.9786 12088.3266 2.2991819 2000-2009 –> 2010-2019 4.737846 22369.313 22438.919
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 12036.2459 12077.4852 2.2911425 2000-2009 –> 2010-2019 4.729617 22354.233 22435.441
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + phosphate + phosphate_star 12037.6160 12072.9640 2.2925868 2000-2009 –> 2010-2019 4.733294 22357.685 22427.292
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate 44008.5247 44055.2241 0.8365394 2000-2009 –> 2010-2019 1.668740 79497.108 79589.241
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12033.2108 12074.4501 2.2898426 2000-2009 –> 2010-2019 4.726283 22347.476 22428.684
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate_star 45582.9112 45629.6106 0.8745090 2000-2009 –> 2010-2019 1.755993 82723.829 82815.962
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate_star 46247.9226 46294.6220 0.8910604 2000-2009 –> 2010-2019 1.801548 84318.621 84410.754
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + silicate + phosphate + phosphate_star 45139.3648 45186.0642 0.8636409 2000-2009 –> 2010-2019 1.731216 81823.498 81915.630
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12039.2258 12080.4651 2.2924195 2000-2009 –> 2010-2019 4.734175 22363.211 22444.418
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 45971.5166 46025.9993 0.8840934 2000-2009 –> 2010-2019 1.815468 84695.604 84803.092
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 12036.1970 12077.4363 2.2911215 2000-2009 –> 2010-2019 4.729422 22353.867 22435.075
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 42873.5145 42927.9971 0.8101475 2000-2009 –> 2010-2019 1.616813 77469.049 77576.537
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 12046.9967 12088.2360 2.2957529 2000-2009 –> 2010-2019 4.740574 22376.577 22457.785
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42894.8393 42949.3220 0.8106347 2000-2009 –> 2010-2019 1.617538 77498.818 77606.306
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 43285.3560 43339.8387 0.8196094 2000-2009 –> 2010-2019 1.640770 78392.385 78499.873
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42892.1369 42946.6196 0.8105729 2000-2009 –> 2010-2019 1.617446 77495.054 77602.542
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate_star 43421.7977 43468.4971 0.8228148 2000-2009 –> 2010-2019 1.648120 78671.423 78763.556
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 12051.4033 12092.6426 2.2976453 2000-2009 –> 2010-2019 4.735933 22369.049 22450.257
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + phosphate + phosphate_star 12055.2545 12090.6024 2.3001605 2000-2009 –> 2010-2019 4.740363 22374.402 22444.008
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 22070.1073 22111.1759 1.1861590 2000-2009 –> 2010-2019 2.285019 40437.369 40518.699
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 22387.0144 22428.0830 1.2135609 2000-2009 –> 2010-2019 2.330143 40948.337 41029.668
obs Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 4211.9549 4240.6887 2.5751323 2000-2009 –> 2010-2019 5.156003 7722.477 7778.843
obs Indo-Pacific (28.3,28.4] cstar_tref ~ aou + silicate + phosphate_star 4222.9300 4246.8748 2.5940146 2000-2009 –> 2010-2019 5.178712 7733.643 7780.614
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate 22588.9020 22629.9707 1.2313465 2000-2009 –> 2010-2019 2.385118 41547.654 41628.984
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate_star 22751.4175 22792.4861 1.2458528 2000-2009 –> 2010-2019 2.379631 41498.131 41579.461
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4213.5141 4247.0369 2.5744933 2000-2009 –> 2010-2019 5.143587 7719.277 7785.037
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate_star 4224.8911 4253.6249 2.5939579 2000-2009 –> 2010-2019 5.166261 7730.499 7786.865
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4219.1847 4252.7075 2.5827265 2000-2009 –> 2010-2019 5.168789 7734.678 7800.438
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21822.6582 21870.5716 1.1650260 2000-2009 –> 2010-2019 2.243428 39963.955 40058.841
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4224.2493 4257.7721 2.5901022 2000-2009 –> 2010-2019 5.161366 7731.260 7797.020
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate 21823.0587 21864.1274 1.1652275 2000-2009 –> 2010-2019 2.246200 39991.233 40072.563
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 22643.9069 22691.8203 1.2360591 2000-2009 –> 2010-2019 2.387352 41578.575 41673.461
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4225.8411 4259.3639 2.5924246 2000-2009 –> 2010-2019 5.177773 7740.926 7806.686
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate 22046.5002 22087.5688 1.1841428 2000-2009 –> 2010-2019 2.280422 40385.235 40466.565
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate_star 22091.7382 22132.8068 1.1880096 2000-2009 –> 2010-2019 2.288235 40474.062 40555.392
obs Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4212.1391 4245.6619 2.5725009 2000-2009 –> 2010-2019 5.150599 7723.073 7788.833
obs Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + silicate + phosphate_star 4222.3771 4251.1109 2.5902886 2000-2009 –> 2010-2019 5.172416 7733.619 7789.985
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 22051.3155 22092.3841 1.1845538 2000-2009 –> 2010-2019 2.281379 40396.094 40477.424
obs Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4216.3666 4249.8894 2.5786316 2000-2009 –> 2010-2019 5.169820 7734.786 7800.546

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

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 5 10 7 5 10 5
(26,26.5] 7 7 6 7 7 7 9
(26.5,26.75] 6 4 7 7 4 9 10
(26.75,27] 8 4 8 5 5 10 7
(27,27.25] 8 6 4 4 7 10 8
(27.25,27.5] 5 4 4 6 10 8 8
(27.5,27.75] 6 1 6 6 10 6 8
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 6 2 5 6 10 7 9
(27.95,28.05] 4 2 4 8 10 5 10
(28.05,28.1] 9 1 4 5 6 6 10
(28.1,28.15] 10 2 4 4 6 5 10
(28.15,28.2] 5 7 2 6 6 5 10
(28.2, Inf] 5 10 NA 5 8 6 6
total 89.00 59.00 — 82.00 104.00 104.00 116.00
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] 6 5 6 6 6 9 10
(26.75,27] 5 10 5 7 5 5 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] 6 6 3 8 10 5 9
(27.85,27.95] 4 2 3 6 10 7 10
(27.95,28.05] 4 3 2 7 10 6 10
(28.05,28.1] 2 3 3 8 6 10 10
(28.1,28.2] 5 3 4 4 10 10 9
(28.2,28.3] 5 3 4 7 10 10 6
(28.3,28.4] 7 10 6 6 5 2 6
total 74.00 82.00 65.00 94.00 107.00 96.00 120.00
Atlantic - obs
(-Inf,26] 8 10 6 6 6 5 8
(26,26.5] 7 9 7 6 4 4 10
(26.5,26.75] 8 8 6 6 4 5 10
(26.75,27] 4 4 4 9 5 10 10
(27,27.25] 5 6 5 9 5 8 10
(27.25,27.5] 6 4 7 7 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] 5 5 5 8 10 10 4
(28.05,28.1] 5 5 3 10 10 6 7
(28.1,28.15] 5 4 2 10 7 7 10
(28.15,28.2] 7 1 7 6 6 6 10
(28.2, Inf] 6 4 7 7 10 4 9
total 84.00 73.00 81.00 102.00 97.00 99.00 118.00
Indo-Pacific - obs
(-Inf,26] 8 6 6 6 10 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] 7 10 6 5 4 7 8
(27,27.25] 6 5 6 7 10 9 4
(27.25,27.5] 6 4 6 7 10 10 4
(27.5,27.75] 6 5 6 6 10 7 8
(27.75,27.85] 4 5 4 9 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] 5 4 6 7 10 10 5
(28.1,28.2] 6 4 6 7 10 10 4
(28.2,28.3] 10 4 10 8 6 4 5
(28.3,28.4] 7 5 3 10 5 10 5
total 87.00 74.00 81.00 98.00 106.00 111.00 101.00

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24 
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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

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

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24
071743d jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24 

[[3]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26 

[[4]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26

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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

8 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
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 
GLODAP_glanced_vif %>% 
  ggplot(aes(Variables,
             log10(VIF),
             col = data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  geom_violin() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin) +
  coord_flip()

Version Author Date
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 

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

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

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

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

other attached packages:
 [1] 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