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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, nitrate, silicate, phosphate, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# prepare nested data frame

GLODAP %>%
  filter_all(any_vars(is.na(.)))

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

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

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


# test parallel processing
# 
# library(parallel)
# library(multidplyr)
# 
# n_cores <- detectCores()
# system.time(
# cluster <- new_cluster(5)
# )
# 
# cluster
# 
# system.time(
#   GLODAP_nested_lm <-
#     expand_grid(GLODAP,
#                 lm_all) %>%
#     group_by(gamma_slab, era, basin, data_source, model, predictors, n) %>%
#     partition(cluster)
# )
# 
# GLODAP_nested_lm 
# 
# cluster %>%
#   cluster_library(c("tidyverse",
#                     "broom",
#                     "olsrr",
#                     "purrr"))
# 
# cluster_call(cluster, search())
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
#   mutate(
#     fit = map2(.x = data, .y = model, 
#                ~ lm(as.formula(.y), data = .x)),
#     tidied = map(fit, tidy),
#     glanced = map(fit, glance),
#     augmented = map(fit, augment),
#     vif = map(fit, ols_vif_tol)
#   )
# )
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>% 
#   collect()
# )
# 
# 
# 
# library(furrr)
# 
# plan(sequential)
# plan(multisession, workers = 5)
# 
# # This does run in parallel!
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm %>% 
#   mutate(
#     fit = future_map2(.x = data, .y = model, 
#                ~ lm(as.formula(.y), data = .x))
#     # tidied = future_map(fit, tidy),
#     # glanced = future_map(fit, glance),
#     # augmented = future_map(fit, augment),
#     # vif = future_map(fit, ols_vif_tol)
#   )
# )



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

5 Tidy models

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

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

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

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

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

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

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

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


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

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

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

6 Prepare coeffcients

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

6.1 VIF threshold

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

  • 200

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

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

GLODAP_glanced_clean %>% 
  group_by(data_source, era, basin, gamma_slab) %>% 
  count() %>% 
  filter(n < params_local$MLR_number)
# A tibble: 0 x 5
# Groups:   data_source, era, basin, gamma_slab [0]
# … with 5 variables: data_source <chr>, era <chr>, basin <chr>,
#   gamma_slab <chr>, n <int>

6.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

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

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

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse eras rmse_sum aic_sum bic_sum
obs Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 752.81040 771.83989 6.5490641 2000-2009 –> 2010-2019 14.764531 1126.3560 1158.9083
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 757.74757 776.77706 6.6950142 2000-2009 –> 2010-2019 14.305432 1123.4901 1156.0424
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 82.44135 95.96413 0.4733383 2000-2009 –> 2010-2019 4.857575 756.9469 789.6231
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 112.33837 125.86115 0.6345515 2000-2009 –> 2010-2019 4.619701 765.0834 797.7596
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 79.93748 93.46026 0.4618604 2000-2009 –> 2010-2019 4.334575 726.1574 758.8335
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 87.37399 98.96494 0.5066282 2000-2009 –> 2010-2019 4.903610 760.5414 788.5495
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 759.32253 775.63352 6.8027215 2000-2009 –> 2010-2019 14.507992 1124.3285 1152.2305
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 758.05638 777.08587 6.7042506 2000-2009 –> 2010-2019 14.361261 1124.4215 1156.9738
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 758.08494 777.11443 6.7051053 2000-2009 –> 2010-2019 14.358472 1124.4015 1156.9538
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 81.32743 94.85021 0.4681972 2000-2009 –> 2010-2019 4.760677 751.0106 783.6867
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 750.41454 769.44403 6.4793901 2000-2009 –> 2010-2019 14.135191 1116.7636 1149.3158
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 111.71440 125.23718 0.6306816 2000-2009 –> 2010-2019 4.507887 758.1985 790.8747
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 111.83359 125.35636 0.6314189 2000-2009 –> 2010-2019 4.918100 781.2085 813.8846
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 134.12183 147.64461 0.7856267 2000-2009 –> 2010-2019 4.821767 789.7657 822.4418
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 758.23390 777.26339 6.7095657 2000-2009 –> 2010-2019 14.391773 1124.9341 1157.4864
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 84.51038 98.03316 0.4830378 2000-2009 –> 2010-2019 4.791162 755.0230 787.6991
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 111.62890 125.15168 0.6301531 2000-2009 –> 2010-2019 4.817546 775.6607 808.3369
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 751.48267 770.51216 6.5103605 2000-2009 –> 2010-2019 14.699080 1124.6957 1157.2479
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 750.89289 769.92238 6.4932416 2000-2009 –> 2010-2019 14.675563 1124.0262 1156.5784
obs Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 748.91840 767.94789 6.4362572 2000-2009 –> 2010-2019 14.591774 1121.7170 1154.2693
mod Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2098.84473 2126.38899 3.8144352 2000-2009 –> 2010-2019 8.284811 3460.2266 3511.8678
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3542.30555 3568.28388 5.6265775 2000-2009 –> 2010-2019 11.803187 6470.0428 6520.6766
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2064.97869 2092.52294 3.6473331 2000-2009 –> 2010-2019 7.934961 3407.0773 3458.7184
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3533.33495 3563.64300 5.5718305 2000-2009 –> 2010-2019 11.195997 6378.7451 6437.8178
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2065.21848 2092.76274 3.6484902 2000-2009 –> 2010-2019 8.005897 3414.7753 3466.4165
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3534.81430 3565.12234 5.5791817 2000-2009 –> 2010-2019 11.290924 6394.1306 6453.2034
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3544.02034 3574.32839 5.6251474 2000-2009 –> 2010-2019 11.709968 6460.2825 6519.3553
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2029.41957 2056.96383 3.4797497 2000-2009 –> 2010-2019 8.218174 3417.7047 3469.3459
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2030.07551 2057.61977 3.4827702 2000-2009 –> 2010-2019 8.338476 3429.6565 3481.2976
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2066.12427 2093.66853 3.6528642 2000-2009 –> 2010-2019 8.082841 3423.3120 3474.9532
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3544.32246 3574.63051 5.6266623 2000-2009 –> 2010-2019 11.447419 6420.6543 6479.7271
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2030.45050 2057.99476 3.4844982 2000-2009 –> 2010-2019 8.377159 3433.5343 3485.1755
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 3605.76249 3631.74081 5.9539707 2000-2009 –> 2010-2019 11.601877 6452.9636 6503.5974
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3606.82029 3632.79861 5.9595866 2000-2009 –> 2010-2019 11.686630 6466.5444 6517.1782
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2096.07211 2123.61637 3.8004714 2000-2009 –> 2010-2019 8.310965 3461.5816 3513.2228
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3606.51994 3636.82799 5.9473807 2000-2009 –> 2010-2019 11.511604 6442.2862 6501.3590
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2091.80330 2119.34756 3.7790722 2000-2009 –> 2010-2019 8.325981 3461.0277 3512.6689
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3607.55226 3637.86030 5.9528552 2000-2009 –> 2010-2019 11.574870 6452.6180 6511.6908
mod Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2093.65308 2121.19733 3.7883301 2000-2009 –> 2010-2019 8.371871 3466.5846 3518.2258
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3609.54626 3639.85430 5.9634439 2000-2009 –> 2010-2019 11.682353 6469.9912 6529.0640
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2690.47339 2719.66067 3.9777639 2000-2009 –> 2010-2019 7.145938 4592.3904 4648.9152
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5065.17669 5098.15887 5.2255151 2000-2009 –> 2010-2019 10.672312 8666.4657 8729.9407
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2693.58533 2722.77261 3.9907333 2000-2009 –> 2010-2019 7.049442 4569.6929 4626.2177
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5064.00339 5096.98558 5.2217870 2000-2009 –> 2010-2019 10.685311 8668.8248 8732.2998
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2761.10287 2790.29014 4.2827701 2000-2009 –> 2010-2019 7.135396 4586.0118 4642.5366
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2767.31203 2796.49930 4.3106770 2000-2009 –> 2010-2019 7.109310 4578.1951 4634.7199
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5179.04600 5212.02818 5.6002819 2000-2009 –> 2010-2019 11.084244 8788.1688 8851.6438
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2701.31558 2730.50286 4.0231333 2000-2009 –> 2010-2019 6.948433 4544.6899 4601.2147
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2768.34174 2797.52901 4.3153226 2000-2009 –> 2010-2019 7.110017 4578.1913 4634.7161
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5178.38828 5211.37046 5.5980419 2000-2009 –> 2010-2019 11.084709 8788.0792 8851.5542
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 5151.35610 5179.62654 5.5134496 2000-2009 –> 2010-2019 10.963829 8751.4027 8805.8098
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 5146.83149 5175.10193 5.4982963 2000-2009 –> 2010-2019 10.962143 8749.7211 8804.1282
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2718.90247 2748.08975 4.0978291 2000-2009 –> 2010-2019 7.165966 4597.2690 4653.7938
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5153.06419 5186.04638 5.5124707 2000-2009 –> 2010-2019 10.959071 8754.3117 8817.7866
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2722.65188 2751.83915 4.1139323 2000-2009 –> 2010-2019 7.081972 4576.6727 4633.1975
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5148.65450 5181.63669 5.4977044 2000-2009 –> 2010-2019 10.957788 8752.7504 8816.2253
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2729.83630 2754.85396 4.1536458 2000-2009 –> 2010-2019 7.218559 4605.4314 4653.8812
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5142.87957 5171.15001 5.4850951 2000-2009 –> 2010-2019 10.948616 8745.7004 8800.1074
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2727.14159 2756.32886 4.1332982 2000-2009 –> 2010-2019 7.053235 4569.1690 4625.6938
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5144.70736 5177.68954 5.4845206 2000-2009 –> 2010-2019 10.944555 8748.7927 8812.2677
mod Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4633.16678 4662.08033 3.0231194 2000-2009 –> 2010-2019 5.385787 7498.1366 7553.6862
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4398.09089 4431.82335 2.6557831 2000-2009 –> 2010-2019 5.185232 7350.4600 7415.2679
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 4557.65080 4586.56435 2.9009076 2000-2009 –> 2010-2019 5.436797 7511.2037 7566.7533
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6076.49407 6110.99384 4.7112893 2000-2009 –> 2010-2019 11.211963 10401.5001 10467.3923
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4536.79121 4570.52368 2.8648961 2000-2009 –> 2010-2019 5.140285 7356.6354 7421.4433
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 6040.81172 6075.31149 4.6296783 2000-2009 –> 2010-2019 11.128485 10365.4415 10431.3337
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4556.35743 4590.08990 2.8956917 2000-2009 –> 2010-2019 5.245148 7416.3071 7481.1150
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6032.97645 6067.47621 4.6119480 2000-2009 –> 2010-2019 11.043913 10344.0628 10409.9550
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6037.25337 6071.75313 4.6216177 2000-2009 –> 2010-2019 11.039810 10345.5318 10411.4240
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4563.54590 4597.27837 2.9070887 2000-2009 –> 2010-2019 5.289931 7441.1610 7505.9689
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6032.66633 6067.16610 4.6112476 2000-2009 –> 2010-2019 11.039674 10343.0319 10408.9241
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 6044.15542 6073.72665 4.6418095 2000-2009 –> 2010-2019 11.137858 10366.2292 10422.7082
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4257.88123 4291.61370 2.4599038 2000-2009 –> 2010-2019 4.735610 7077.9000 7142.7079
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4267.27985 4301.01232 2.4725700 2000-2009 –> 2010-2019 4.765215 7096.5830 7161.3909
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6032.80223 6067.30199 4.6115545 2000-2009 –> 2010-2019 11.138440 10363.0799 10428.9721
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 4677.98472 4706.89826 3.0980717 2000-2009 –> 2010-2019 5.488690 7557.6790 7613.2286
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 6032.83472 6062.40595 4.6161469 2000-2009 –> 2010-2019 11.238885 10380.2109 10436.6899
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4289.63549 4323.36796 2.5029607 2000-2009 –> 2010-2019 4.828811 7136.9419 7201.7498
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6035.95090 6065.52213 4.6231967 2000-2009 –> 2010-2019 11.213970 10376.9890 10433.4680
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6032.61345 6062.18468 4.6156467 2000-2009 –> 2010-2019 11.234737 10379.2678 10435.7468
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 5719.51152 5750.34948 2.3260019 2000-2009 –> 2010-2019 4.904131 9890.9438 9950.4544
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5670.41869 5701.25665 2.2811622 2000-2009 –> 2010-2019 4.744613 9761.8609 9821.3716
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 5865.81736 5896.65532 2.4649283 2000-2009 –> 2010-2019 5.197406 10139.4682 10198.9789
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10966.53293 11004.65085 5.9287609 2000-2009 –> 2010-2019 11.884635 19328.3759 19402.7008
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10946.53360 10984.65152 5.8942324 2000-2009 –> 2010-2019 11.759069 19268.2353 19342.5602
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 5515.22279 5551.20041 2.1433182 2000-2009 –> 2010-2019 4.408283 9460.9861 9530.4152
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5669.68134 5705.65897 2.2786876 2000-2009 –> 2010-2019 4.658261 9702.2227 9771.6519
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 10952.22110 10990.33902 5.9040313 2000-2009 –> 2010-2019 11.770708 19274.7404 19349.0653
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5747.00124 5782.97886 2.3496299 2000-2009 –> 2010-2019 4.774287 9812.5385 9881.9677
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10942.28671 10980.40463 5.8869262 2000-2009 –> 2010-2019 11.675709 19229.9733 19304.2982
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5896.23451 5932.21213 2.4928594 2000-2009 –> 2010-2019 5.142403 10117.7015 10187.1306
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10953.86382 10991.98174 5.9068645 2000-2009 –> 2010-2019 11.774852 19276.9653 19351.2901
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5766.10178 5802.07940 2.3674926 2000-2009 –> 2010-2019 4.806491 9842.0069 9911.4360
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10942.45996 10980.57788 5.8872240 2000-2009 –> 2010-2019 11.685421 19234.3812 19308.7061
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 5683.98151 5714.81947 2.2934629 2000-2009 –> 2010-2019 4.596429 9656.9955 9716.5061
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10902.12841 10940.24633 5.8182848 2000-2009 –> 2010-2019 11.847940 19296.0560 19370.3809
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5685.06886 5721.04648 2.2926331 2000-2009 –> 2010-2019 4.552443 9626.8263 9696.2554
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10880.67082 10918.78874 5.7819367 2000-2009 –> 2010-2019 11.698456 19225.2368 19299.5617
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 10942.40090 10975.07340 5.8905622 2000-2009 –> 2010-2019 11.860092 19308.2121 19371.9191
obs Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10942.52895 10975.20145 5.8907825 2000-2009 –> 2010-2019 11.871918 19313.4016 19377.1086
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 10943.89674 10977.60330 3.5549881 2000-2009 –> 2010-2019 6.885488 20620.8133 20687.6347
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 10892.56307 10926.26963 3.5104099 2000-2009 –> 2010-2019 7.305274 21050.5995 21117.4210
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13174.49729 13213.90372 5.9207386 2000-2009 –> 2010-2019 10.437921 22168.0021 22244.7580
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13193.66970 13233.07613 5.9483818 2000-2009 –> 2010-2019 10.447540 22174.9088 22251.6647
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 10917.79316 10957.11748 3.5305133 2000-2009 –> 2010-2019 6.780914 20506.9770 20584.9353
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 13218.85102 13252.62796 5.9877938 2000-2009 –> 2010-2019 10.521159 22221.3276 22287.1183
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 13231.52478 13265.30172 6.0062595 2000-2009 –> 2010-2019 10.528432 22226.4175 22292.2082
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10889.69603 10929.02034 3.5062125 2000-2009 –> 2010-2019 7.284579 21033.6727 21111.6311
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13208.14657 13247.55300 5.9693404 2000-2009 –> 2010-2019 10.501337 22211.6966 22288.4524
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10814.51811 10853.84242 3.4420117 2000-2009 –> 2010-2019 7.106895 20846.0889 20924.0473
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13222.16412 13261.57055 5.9897044 2000-2009 –> 2010-2019 10.511724 22218.9531 22295.7090
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 11029.86720 11063.57376 3.6309164 2000-2009 –> 2010-2019 7.192958 20954.5258 21021.3473
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10793.29727 10832.62159 3.4241031 2000-2009 –> 2010-2019 6.962146 20695.0375 20772.9958
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 13224.53570 13258.31264 5.9960694 2000-2009 –> 2010-2019 10.518930 22219.8946 22285.6853
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10815.55554 10854.87986 3.4428896 2000-2009 –> 2010-2019 7.110266 20849.6336 20927.5920
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13215.04366 13254.45008 5.9793515 2000-2009 –> 2010-2019 10.502193 22212.3900 22289.1459
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 10895.21415 10928.92070 3.5126984 2000-2009 –> 2010-2019 7.307209 21052.9072 21119.7287
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 13178.16783 13211.94477 5.9289011 2000-2009 –> 2010-2019 10.623907 22288.1316 22353.9224
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 11223.64509 11257.35165 3.8080595 2000-2009 –> 2010-2019 7.286725 21060.9998 21127.8213
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13179.59933 13219.00576 5.9280822 2000-2009 –> 2010-2019 10.608970 22282.3234 22359.0793
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 18972.26853 19003.86590 2.4396203 2000-2009 –> 2010-2019 4.973560 34986.4050 35048.6703
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 18299.35839 18337.27523 2.2470011 2000-2009 –> 2010-2019 4.761774 34263.7561 34338.4745
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 14550.58481 14585.24905 5.0921768 2000-2009 –> 2010-2019 10.536461 25970.4667 26038.2099
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14791.05992 14831.50153 5.3531181 2000-2009 –> 2010-2019 10.694111 26142.7589 26221.7926
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 18971.18823 19009.10507 2.4387047 2000-2009 –> 2010-2019 4.945705 34914.4928 34989.2111
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 18858.94299 18896.85983 2.4055742 2000-2009 –> 2010-2019 4.867933 34679.8200 34754.5384
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18290.59970 18334.83602 2.2440571 2000-2009 –> 2010-2019 4.738568 34201.8748 34289.0462
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 14542.77887 14583.22049 5.0817236 2000-2009 –> 2010-2019 10.280056 25795.2795 25874.3132
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18083.32663 18127.56295 2.1880849 2000-2009 –> 2010-2019 4.639353 33875.4423 33962.6137
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14569.15595 14609.59756 5.1098905 2000-2009 –> 2010-2019 10.317062 25827.8813 25906.9151
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 19061.07106 19098.98790 2.4655634 2000-2009 –> 2010-2019 4.939850 34914.8756 34989.5940
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18181.84211 18226.07842 2.2145118 2000-2009 –> 2010-2019 4.669754 33984.9975 34072.1689
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 18856.45274 18894.36958 2.4048443 2000-2009 –> 2010-2019 4.869478 34683.6238 34758.3422
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18089.35385 18133.59016 2.1896926 2000-2009 –> 2010-2019 4.643085 33887.3746 33974.5461
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14549.26822 14589.70984 5.0886389 2000-2009 –> 2010-2019 10.287221 25801.9448 25880.9785
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14511.75480 14552.19642 5.0487931 2000-2009 –> 2010-2019 10.330358 25822.4565 25901.4903
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14552.49052 14592.93214 5.0920761 2000-2009 –> 2010-2019 10.390076 25874.5758 25953.6095
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 14541.92975 14576.59400 5.0829494 2000-2009 –> 2010-2019 10.364514 25850.6315 25918.3747
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 14568.68140 14603.34564 5.1115242 2000-2009 –> 2010-2019 10.409532 25888.7725 25956.5158
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14548.53965 14583.20390 5.0899948 2000-2009 –> 2010-2019 10.375481 25859.9604 25927.7036
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 5054.89144 5086.78674 1.2937625 2000-2009 –> 2010-2019 2.539160 9356.2059 9419.1633
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 9096.73668 9133.66773 5.6062213 2000-2009 –> 2010-2019 10.718424 16480.9113 16553.5194
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 4812.38721 4844.28251 1.1935534 2000-2009 –> 2010-2019 2.396039 9021.9029 9084.8604
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 9095.20467 9126.85986 5.6071292 2000-2009 –> 2010-2019 10.745553 16489.7395 16551.9750
obs Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 9089.14050 9126.07155 5.5915050 2000-2009 –> 2010-2019 10.718864 16480.4672 16553.0753
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5446.89757 5478.79287 1.4738467 2000-2009 –> 2010-2019 2.856069 10021.1056 10084.0630
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5436.67463 5468.56993 1.4688463 2000-2009 –> 2010-2019 2.858058 10024.0870 10087.0444
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9087.45224 9119.10743 5.5921082 2000-2009 –> 2010-2019 10.750281 16491.2548 16553.4903
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 5010.42043 5047.63161 1.2739286 2000-2009 –> 2010-2019 2.516164 9307.0783 9380.5286
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 4685.02571 4722.23690 1.1433117 2000-2009 –> 2010-2019 2.340681 8885.3784 8958.8288
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 9089.83023 9126.76128 5.5928397 2000-2009 –> 2010-2019 10.730026 16485.7832 16558.3913
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4817.32302 4854.53420 1.1947188 2000-2009 –> 2010-2019 2.432787 9105.1850 9178.6353
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9080.34097 9117.27202 5.5745058 2000-2009 –> 2010-2019 10.724770 16482.4364 16555.0445
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4824.44441 4861.65559 1.1975507 2000-2009 –> 2010-2019 2.433277 9107.3483 9180.7987
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4810.54116 4847.75234 1.1920282 2000-2009 –> 2010-2019 2.425936 9089.5891 9163.0394
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9087.60686 9124.53791 5.5885386 2000-2009 –> 2010-2019 10.729664 16485.4117 16558.0198
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 4920.94340 4952.83870 1.2374144 2000-2009 –> 2010-2019 2.558817 9377.3456 9440.3031
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9108.76757 9145.69862 5.6296083 2000-2009 –> 2010-2019 10.746412 16495.1156 16567.7237
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9099.63015 9136.56121 5.6118371 2000-2009 –> 2010-2019 10.738368 16490.5664 16563.1745
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9106.57786 9143.50892 5.6253444 2000-2009 –> 2010-2019 10.744199 16493.8937 16566.5018
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 5971.52433 6003.30281 1.8243782 2000-2009 –> 2010-2019 4.732364 12517.7812 12580.6447
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19213.19989 19255.53917 5.2018092 2000-2009 –> 2010-2019 10.840124 36336.2785 36419.9688
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 18650.91841 18693.25769 4.7548086 2000-2009 –> 2010-2019 10.156557 35541.0815 35624.7717
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 5743.65682 5775.43530 1.6887625 2000-2009 –> 2010-2019 4.413245 12118.6155 12181.4790
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 18659.77671 18696.06752 4.7630659 2000-2009 –> 2010-2019 10.165265 35548.3930 35620.1275
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 19016.11572 19058.45500 5.0405405 2000-2009 –> 2010-2019 10.595754 36058.5074 36142.1976
mod Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6223.31955 6255.09802 1.9869355 2000-2009 –> 2010-2019 4.817687 12698.8352 12761.6986
mod Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6207.19079 6238.96927 1.9761019 2000-2009 –> 2010-2019 4.759991 12638.8362 12701.6997
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19062.70657 19098.99738 5.0798306 2000-2009 –> 2010-2019 10.639425 36107.3820 36179.1165
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 5813.07902 5850.15391 1.7278035 2000-2009 –> 2010-2019 4.623019 12349.7696 12423.1103
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 5435.28533 5472.36022 1.5201140 2000-2009 –> 2010-2019 4.244380 11812.0346 11885.3754
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 18542.04958 18584.38886 4.6728058 2000-2009 –> 2010-2019 10.042260 35399.6277 35483.3180
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5545.72357 5582.79846 1.5781006 2000-2009 –> 2010-2019 4.327110 11946.2340 12019.5747
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18506.81689 18549.15617 4.6465717 2000-2009 –> 2010-2019 10.004724 35352.9453 35436.6355
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 18540.45488 18582.79416 4.6716152 2000-2009 –> 2010-2019 10.089623 35446.9498 35530.6401
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5553.86696 5590.94185 1.5824630 2000-2009 –> 2010-2019 4.375365 11996.0069 12069.3476
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 18560.92728 18597.21809 4.6884211 2000-2009 –> 2010-2019 10.108136 35467.1338 35538.8683
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5534.03830 5571.11319 1.5718620 2000-2009 –> 2010-2019 4.312378 11926.4171 11999.7578
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18538.30705 18580.64633 4.6700121 2000-2009 –> 2010-2019 10.037131 35393.5220 35477.2122
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 5659.79066 5691.56914 1.6414283 2000-2009 –> 2010-2019 4.662716 12306.4967 12369.3601
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 20572.44716 20615.21173 5.3257699 2000-2009 –> 2010-2019 12.027990 39259.2307 39343.5843
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 20635.75890 20672.41425 5.3783336 2000-2009 –> 2010-2019 12.094359 39332.1111 39404.4142
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 20707.51790 20750.28248 5.4350497 2000-2009 –> 2010-2019 12.171627 39423.0480 39507.4016
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 20798.34605 20835.00140 5.5114502 2000-2009 –> 2010-2019 12.258039 39520.2248 39592.5279
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 9456.17578 9489.00737 3.5506060 2000-2009 –> 2010-2019 7.375632 17363.2168 17427.6410
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 9486.47589 9519.30748 3.5813365 2000-2009 –> 2010-2019 7.404166 17391.8741 17456.2982
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 9299.02647 9337.33000 3.3934733 2000-2009 –> 2010-2019 7.218437 17208.0208 17283.1823
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 20681.54997 20724.31454 5.4138675 2000-2009 –> 2010-2019 12.156360 39402.0140 39486.3676
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9310.33109 9348.63461 3.4044016 2000-2009 –> 2010-2019 7.227096 17217.6279 17292.7894
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20616.89227 20659.65685 5.3614838 2000-2009 –> 2010-2019 12.075456 39313.5248 39397.8784
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 9553.22833 9586.05992 3.6499789 2000-2009 –> 2010-2019 7.470319 17456.7634 17521.1875
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 20732.63505 20775.39962 5.4556168 2000-2009 –> 2010-2019 12.391082 39611.7434 39696.0970
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9281.45793 9319.76145 3.3765593 2000-2009 –> 2010-2019 7.173441 17169.3774 17244.5389
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20862.88909 20905.65366 5.5635298 2000-2009 –> 2010-2019 12.483261 39729.2282 39813.5819
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 9481.47298 9514.30457 3.5762443 2000-2009 –> 2010-2019 7.399125 17386.9096 17451.3337
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate_star 9567.07911 9594.43877 3.6664709 2000-2009 –> 2010-2019 7.496053 17475.5247 17529.2115
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 20830.15614 20866.81149 5.5378773 2000-2009 –> 2010-2019 12.476708 39709.9918 39782.2949
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9310.68410 9348.98762 3.4047434 2000-2009 –> 2010-2019 7.227501 17218.0286 17293.1901
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20661.46582 20704.23039 5.3975414 2000-2009 –> 2010-2019 12.126810 39370.8923 39455.2459
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 9310.07745 9342.90904 3.4060929 2000-2009 –> 2010-2019 7.231439 17217.3576 17281.7818
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17421.49322 17462.99963 5.5520076 2000-2009 –> 2010-2019 12.997122 30901.6244 30982.2136
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 17478.93977 17514.51669 5.6117304 2000-2009 –> 2010-2019 13.061472 30959.5132 31028.5896
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 17440.29469 17475.87161 5.5728331 2000-2009 –> 2010-2019 13.072829 30947.2899 31016.3663
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17473.87782 17515.38423 5.6046021 2000-2009 –> 2010-2019 13.023030 30939.8973 31020.4864
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 3556.70580 3591.21242 1.3692778 2000-2009 –> 2010-2019 2.474232 5909.5684 5976.5998
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 3422.71113 3452.28823 1.2836490 2000-2009 –> 2010-2019 2.273846 5604.7053 5662.1608
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 3462.95988 3492.53698 1.3091761 2000-2009 –> 2010-2019 2.317829 5673.3931 5730.8486
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 17501.70037 17537.27729 5.6347665 2000-2009 –> 2010-2019 13.053737 30966.0072 31035.0836
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 3421.52509 3456.03171 1.2816497 2000-2009 –> 2010-2019 2.252945 5575.8380 5642.8694
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3458.34966 3492.85628 1.3049491 2000-2009 –> 2010-2019 2.299199 5648.6343 5715.6657
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17453.05225 17494.55866 5.5836337 2000-2009 –> 2010-2019 12.993133 30914.3390 30994.9281
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17454.09642 17495.60283 5.5846832 2000-2009 –> 2010-2019 13.010148 30923.8421 31004.4313
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 17478.73464 17514.31156 5.6115232 2000-2009 –> 2010-2019 13.038654 30947.3618 31016.4382
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17413.15134 17454.65774 5.5436780 2000-2009 –> 2010-2019 12.970054 30883.3791 30963.9683
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17497.05402 17538.56043 5.6280299 2000-2009 –> 2010-2019 13.057003 30968.6558 31049.2449
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 3596.98967 3626.56677 1.3978989 2000-2009 –> 2010-2019 2.593441 6069.1987 6126.6542
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 3467.35731 3492.00490 1.3132801 2000-2009 –> 2010-2019 2.389391 5775.4867 5823.3663
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate_star 3510.20212 3534.84970 1.3410986 2000-2009 –> 2010-2019 2.443277 5855.1911 5903.0707
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3469.34553 3498.92263 1.3132725 2000-2009 –> 2010-2019 2.367179 5747.3661 5804.8215
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 3511.87425 3541.45135 1.3408835 2000-2009 –> 2010-2019 2.425666 5834.3635 5891.8189
mod Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 4882.93146 4914.77065 1.2406088 2000-2009 –> 2010-2019 2.509483 9146.9697 9209.7506
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 4734.16995 4766.00914 1.1801980 2000-2009 –> 2010-2019 2.530592 9157.9841 9220.7650
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 4624.71550 4661.86122 1.1368729 2000-2009 –> 2010-2019 2.480654 9037.9327 9111.1771
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 4415.64921 4447.48840 1.0605590 2000-2009 –> 2010-2019 2.415677 8848.4236 8911.2045
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 4462.36861 4494.20780 1.0773171 2000-2009 –> 2010-2019 2.439271 8908.0542 8970.8351
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 13881.02839 13915.05097 6.1437978 2000-2009 –> 2010-2019 15.007908 23169.0732 23234.0608
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 4376.97025 4414.11597 1.0461800 2000-2009 –> 2010-2019 2.295238 8602.6187 8675.8631
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4434.00287 4471.14859 1.0663951 2000-2009 –> 2010-2019 2.326970 8683.2026 8756.4470
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13876.99751 13916.69051 6.1351629 2000-2009 –> 2010-2019 14.981322 23161.8204 23237.6393
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13864.53607 13904.22907 6.1173593 2000-2009 –> 2010-2019 14.961322 23148.7192 23224.5381
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 13875.32628 13909.34885 6.1356333 2000-2009 –> 2010-2019 14.993016 23161.4152 23226.4028
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13874.99984 13914.69284 6.1323054 2000-2009 –> 2010-2019 14.980512 23160.4188 23236.2377
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 13875.08734 13909.10991 6.1352914 2000-2009 –> 2010-2019 14.983503 23158.5079 23223.4955
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 4541.25672 4567.78938 1.1069599 2000-2009 –> 2010-2019 2.508000 9057.5457 9109.8632
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 4527.71344 4559.55263 1.1012012 2000-2009 –> 2010-2019 2.451101 8950.5872 9013.3681
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 4598.47929 4630.31847 1.1276643 2000-2009 –> 2010-2019 2.495602 9055.4154 9118.1963
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 13882.68903 13916.71160 6.1461776 2000-2009 –> 2010-2019 15.005077 23169.2193 23234.2069
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13870.25013 13904.27270 6.1283742 2000-2009 –> 2010-2019 14.986333 23156.5067 23221.4943
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 13881.19207 13915.21464 6.1440323 2000-2009 –> 2010-2019 15.003728 23167.9536 23232.9412
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate_star 13880.71893 13909.07107 6.1462205 2000-2009 –> 2010-2019 15.006034 23165.5149 23219.6713
mod Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 7897.90683 7933.70427 0.9504615 2000-2009 –> 2010-2019 2.032516 14416.3515 14486.2493
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 7205.02501 7240.82245 0.8428080 2000-2009 –> 2010-2019 1.885013 13560.4694 13630.3673
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 7124.43749 7166.20117 0.8308182 2000-2009 –> 2010-2019 1.869187 13465.8623 13547.4098
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 3954.98663 3982.77073 3.2608116 2000-2009 –> 2010-2019 7.312949 7422.0791 7476.3734
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 3955.91488 3983.69899 3.2628089 2000-2009 –> 2010-2019 7.359543 7436.4267 7490.7210
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3861.17723 3893.59201 3.0611091 2000-2009 –> 2010-2019 7.148415 7340.8640 7404.2074
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 7572.35200 7608.14944 0.8982667 2000-2009 –> 2010-2019 1.958668 14002.9875 14072.8854
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 3968.10030 3995.88440 3.2891406 2000-2009 –> 2010-2019 7.405655 7454.5173 7508.8116
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7524.05513 7565.81881 0.8904625 2000-2009 –> 2010-2019 1.944446 13930.3194 14011.8669
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 3954.48044 3982.26454 3.2597230 2000-2009 –> 2010-2019 7.351213 7433.4219 7487.7162
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7833.47430 7875.23798 0.9395700 2000-2009 –> 2010-2019 2.020899 14351.0058 14432.5533
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 7614.61006 7644.44126 0.9051904 2000-2009 –> 2010-2019 1.993971 14157.9724 14216.2206
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 7168.61428 7204.41172 0.8375008 2000-2009 –> 2010-2019 1.888124 13559.0031 13628.9010
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 3973.63818 3996.79160 3.3055356 2000-2009 –> 2010-2019 7.358298 7438.9196 7484.1649
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate_star 3981.40471 4004.55813 3.3225135 2000-2009 –> 2010-2019 7.419638 7460.0334 7505.2786
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 3905.99686 3933.78096 3.1571224 2000-2009 –> 2010-2019 7.203665 7371.3954 7425.6897
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 3897.11374 3924.89784 3.1386771 2000-2009 –> 2010-2019 7.226199 7374.8655 7429.1598
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 7687.39537 7717.22657 0.9166933 2000-2009 –> 2010-2019 1.979902 14127.5128 14185.7610
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7534.41360 7570.21103 0.8923737 2000-2009 –> 2010-2019 1.946504 13939.2824 14009.1803
obs Atlantic (28.15,28.2] cstar_tref ~ temp + phosphate + phosphate_star 3978.78258 4001.93600 3.3167717 2000-2009 –> 2010-2019 7.408606 7455.8271 7501.0724
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 8863.87155 8896.12681 0.6231225 2000-2009 –> 2010-2019 1.377264 14750.9383 14812.4810
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 8729.86943 8768.57575 0.6141339 2000-2009 –> 2010-2019 1.348663 14482.7013 14556.5525
obs Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 9256.93915 9295.32973 3.2459001 2000-2009 –> 2010-2019 6.634276 16275.6130 16350.3383
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 11655.21296 11693.91928 0.8394524 2000-2009 –> 2010-2019 1.814353 18871.7067 18945.5579
obs Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9257.47013 9290.37634 3.2482086 2000-2009 –> 2010-2019 6.652592 16286.6526 16350.7028
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 8775.39376 8814.10008 0.6171282 2000-2009 –> 2010-2019 1.366971 14634.9041 14708.7553
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9207.72175 9246.11233 3.2013339 2000-2009 –> 2010-2019 6.638028 16263.9739 16338.6992
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9285.80465 9324.19523 3.2723258 2000-2009 –> 2010-2019 6.644481 16291.7424 16366.4677
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 8643.43587 8688.59325 0.6083589 2000-2009 –> 2010-2019 1.341428 14387.9812 14474.1409
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 9286.01551 9318.92172 3.2743586 2000-2009 –> 2010-2019 6.649888 16292.6081 16356.6583
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 12417.66254 12462.81991 0.9105004 2000-2009 –> 2010-2019 1.827546 19319.8652 19406.0250
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 9170.97644 9209.36703 3.1684606 2000-2009 –> 2010-2019 6.618504 16237.5181 16312.2434
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9193.55850 9231.94908 3.1886229 2000-2009 –> 2010-2019 6.553852 16194.0395 16268.7648
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9247.76861 9286.15919 3.2375494 2000-2009 –> 2010-2019 6.628140 16268.1761 16342.9014
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 11239.86270 11278.56903 0.8030161 2000-2009 –> 2010-2019 1.628101 17593.7444 17667.5956
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11198.44108 11243.59845 0.7992995 2000-2009 –> 2010-2019 1.617663 17512.0359 17598.1957
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 9254.14580 9287.05201 3.2451768 2000-2009 –> 2010-2019 6.645336 16280.0327 16344.0830
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9174.34176 9212.73234 3.1714572 2000-2009 –> 2010-2019 6.568114 16199.4939 16274.2192
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 10496.51297 10535.21929 0.7417090 2000-2009 –> 2010-2019 1.672457 17473.3902 17547.2414
mod Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11973.44853 12012.15485 0.8684841 2000-2009 –> 2010-2019 1.820809 19068.8138 19142.6650
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 25018.79904 25063.21224 4.7216769 2000-2009 –> 2010-2019 11.007544 45729.3171 45816.1762
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26347.15670 26391.56990 5.5289680 2000-2009 –> 2010-2019 12.054805 47295.7297 47382.5888
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 19161.75120 19198.42817 4.2646832 2000-2009 –> 2010-2019 10.902085 35566.4636 35638.0246
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 25487.83507 25525.90352 4.9934803 2000-2009 –> 2010-2019 11.450673 46367.2172 46441.6678
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19113.25814 19156.04793 4.2325399 2000-2009 –> 2010-2019 10.048917 34866.3575 34949.8453
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25410.11656 25454.52976 4.9464041 2000-2009 –> 2010-2019 11.248333 46136.8499 46223.7090
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 19125.52487 19168.31466 4.2403265 2000-2009 –> 2010-2019 10.159485 34965.3327 35048.8204
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 25432.58601 25476.99921 4.9596279 2000-2009 –> 2010-2019 11.271446 46169.2825 46256.1415
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 18649.14938 18691.93917 3.9482106 2000-2009 –> 2010-2019 10.138990 34711.0467 34794.5345
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 25486.77540 25531.18860 4.9916652 2000-2009 –> 2010-2019 11.445628 46364.9790 46451.8380
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 21506.93600 21543.61297 6.0602988 2000-2009 –> 2010-2019 12.434432 37711.3102 37782.8711
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 21035.89291 21078.68270 5.6456233 2000-2009 –> 2010-2019 11.742475 37022.1124 37105.6002
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 26687.74902 26732.16222 5.7573126 2000-2009 –> 2010-2019 12.372954 47723.1653 47810.0243
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21156.78270 21199.57249 5.7488173 2000-2009 –> 2010-2019 12.022239 37284.3223 37367.8101
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26776.69299 26821.10619 5.8184811 2000-2009 –> 2010-2019 12.469549 47846.0439 47932.9030
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 19286.01827 19328.80807 4.3435319 2000-2009 –> 2010-2019 10.354688 35202.1687 35285.6565
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 25627.79706 25672.21026 5.0760122 2000-2009 –> 2010-2019 11.431144 46407.9477 46494.8068
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21245.19456 21287.98436 5.8254797 2000-2009 –> 2010-2019 12.135312 37401.3800 37484.8677
mod Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 20354.56982 20397.35961 5.0977254 2000-2009 –> 2010-2019 12.497066 37299.2005 37382.6883
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26242.67590 26287.08910 5.4607527 2000-2009 –> 2010-2019 12.457204 47633.7020 47720.5610
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12521.03567 12560.99140 4.0163305 2000-2009 –> 2010-2019 8.296273 26560.4261 26640.9830
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12522.45807 12562.23545 4.3197376 2000-2009 –> 2010-2019 8.939469 27082.2828 27162.7326
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12553.00786 12592.78524 4.3502520 2000-2009 –> 2010-2019 8.986445 27130.3755 27210.8253
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 12826.87350 12860.96840 4.6357468 2000-2009 –> 2010-2019 9.550405 27689.9178 27758.8749
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10943.54016 10983.49589 2.8180201 2000-2009 –> 2010-2019 6.896983 24748.1227 24828.6796
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 12584.05856 12623.83594 4.3814877 2000-2009 –> 2010-2019 9.092751 27240.6465 27321.0963
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11126.59148 11166.54721 2.9363027 2000-2009 –> 2010-2019 7.184252 25129.3519 25209.9087
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12631.64030 12671.41768 4.4297886 2000-2009 –> 2010-2019 9.177516 27326.2547 27406.7046
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12560.54721 12600.32459 4.3578158 2000-2009 –> 2010-2019 8.999447 27143.6967 27224.1466
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 12674.55994 12708.65484 4.4758756 2000-2009 –> 2010-2019 9.295041 27440.8319 27509.7889
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12582.61771 12622.39509 4.3800333 2000-2009 –> 2010-2019 9.135622 27285.3913 27365.8411
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11186.91831 11226.87405 2.9763619 2000-2009 –> 2010-2019 7.256605 25226.6520 25307.2089
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12632.43504 12672.21242 4.4305998 2000-2009 –> 2010-2019 9.180263 27329.0596 27409.5094
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 12632.23780 12666.33270 4.4324406 2000-2009 –> 2010-2019 9.205311 27350.9014 27419.8584
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11656.45808 11696.41381 3.3074214 2000-2009 –> 2010-2019 7.585709 25693.9606 25774.5175
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11721.90646 11761.86219 3.3564026 2000-2009 –> 2010-2019 7.644718 25770.8387 25851.3956
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 11853.03196 11887.27973 3.4582827 2000-2009 –> 2010-2019 8.087917 26273.8472 26342.8960
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 11916.65042 11950.89819 3.5080559 2000-2009 –> 2010-2019 8.217599 26421.0108 26490.0596
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11762.13148 11802.08722 3.3868660 2000-2009 –> 2010-2019 7.692737 25831.0093 25911.5662
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 11945.71729 11979.96506 3.5310347 2000-2009 –> 2010-2019 8.261530 26471.7490 26540.7978
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 11068.79592 11107.45272 4.8088599 2000-2009 –> 2010-2019 9.830851 27308.0886 27387.9873
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 11090.58787 11129.24467 4.8372817 2000-2009 –> 2010-2019 9.917802 27391.8724 27471.7712
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 10041.42988 10080.61867 2.9867976 2000-2009 –> 2010-2019 7.353737 22900.3537 22979.4793
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 11230.16006 11268.81686 5.0233425 2000-2009 –> 2010-2019 10.387093 27821.6804 27901.5792
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10156.36158 10195.55037 3.0740832 2000-2009 –> 2010-2019 7.554326 23129.0154 23208.1410
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11092.90143 11131.55823 4.8403090 2000-2009 –> 2010-2019 9.930063 27403.9001 27483.7988
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 11115.33684 11148.47124 4.8723984 2000-2009 –> 2010-2019 10.073469 27540.0832 27608.5678
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10566.93577 10606.12456 3.4072568 2000-2009 –> 2010-2019 8.020902 23669.8637 23748.9893
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11110.36773 11149.02453 4.8632247 2000-2009 –> 2010-2019 9.996038 27466.4377 27546.3364
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10175.36881 10214.55761 3.0887622 2000-2009 –> 2010-2019 7.577551 23156.4839 23235.6095
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 11222.63266 11255.76707 5.0158398 2000-2009 –> 2010-2019 10.426293 27858.5348 27927.0194
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10324.74425 10363.93305 3.2065895 2000-2009 –> 2010-2019 7.637745 23248.4833 23327.6089
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 11163.99694 11202.65374 4.9342662 2000-2009 –> 2010-2019 10.333688 27790.9800 27870.8787
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10411.17781 10450.36660 3.2768102 2000-2009 –> 2010-2019 7.804291 23430.4004 23509.5261
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11196.97805 11235.63485 4.9784699 2000-2009 –> 2010-2019 10.414850 27860.4563 27940.3550
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 10324.26039 10357.85079 3.2078081 2000-2009 –> 2010-2019 7.958856 23555.4893 23623.3113
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 10411.56708 10445.15748 3.2787730 2000-2009 –> 2010-2019 8.148801 23752.6169 23820.4388
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10427.38889 10466.57768 3.2901507 2000-2009 –> 2010-2019 7.834393 23463.0185 23542.1441
obs Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11201.86714 11240.52394 4.9850562 2000-2009 –> 2010-2019 10.424788 27868.6425 27948.5413
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10428.65116 10462.24156 3.2928419 2000-2009 –> 2010-2019 8.172236 23778.2314 23846.0534
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 18452.89111 18495.17424 4.7173333 2000-2009 –> 2010-2019 9.836147 43052.6845 43139.0749
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13204.19352 13244.95063 3.3984784 2000-2009 –> 2010-2019 7.701400 32208.7727 32292.2394
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 18554.60146 18596.88459 4.7952576 2000-2009 –> 2010-2019 10.028361 43332.2868 43418.6771
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 13338.76193 13379.51904 3.4913365 2000-2009 –> 2010-2019 7.998664 32649.5562 32733.0230
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13232.54604 13273.30315 3.4178353 2000-2009 –> 2010-2019 7.712497 32224.4478 32307.9145
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 18570.44999 18612.73312 4.8075151 2000-2009 –> 2010-2019 10.060018 43377.9446 43464.3349
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 13633.21638 13668.15105 3.7049528 2000-2009 –> 2010-2019 8.075701 32738.9888 32810.5318
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13151.06369 13191.82080 3.3625002 2000-2009 –> 2010-2019 7.719261 32237.6867 32321.1535
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18583.84743 18626.13055 4.8179014 2000-2009 –> 2010-2019 9.894450 43116.8481 43203.2384
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13472.20979 13512.96691 3.5859268 2000-2009 –> 2010-2019 8.211139 32953.3498 33036.8165
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 18483.79178 18520.03446 4.7424003 2000-2009 –> 2010-2019 9.888173 43123.9034 43197.9522
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 18580.91494 18617.15762 4.8171778 2000-2009 –> 2010-2019 10.075831 43395.8359 43469.8848
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13186.90168 13227.65879 3.3867267 2000-2009 –> 2010-2019 7.774221 32319.9054 32403.3721
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18484.68041 18526.96354 4.7415513 2000-2009 –> 2010-2019 9.786808 42967.8701 43054.2604
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 13292.07558 13332.83270 3.4588369 2000-2009 –> 2010-2019 7.971766 32611.0651 32694.5318
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18577.24860 18619.53173 4.8127829 2000-2009 –> 2010-2019 9.928246 43171.7674 43258.1577
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 13302.19806 13342.95517 3.4658576 2000-2009 –> 2010-2019 7.967657 32604.8952 32688.3620
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18585.97029 18628.25342 4.8195492 2000-2009 –> 2010-2019 9.934634 43179.8935 43266.2838
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13461.08011 13496.01477 3.5793746 2000-2009 –> 2010-2019 8.163528 32881.3865 32952.9294
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 18599.47445 18635.71713 4.8316008 2000-2009 –> 2010-2019 9.947087 43192.0308 43266.0796
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25057.29883 25101.92178 4.3444351 2000-2009 –> 2010-2019 9.091799 57086.8333 57177.5868
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 25222.19028 25266.81323 4.4278316 2000-2009 –> 2010-2019 9.284598 57496.7849 57587.5383
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 25064.67190 25102.92015 4.3491333 2000-2009 –> 2010-2019 9.096522 57092.2638 57170.0525
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 25282.80953 25321.05777 4.4599200 2000-2009 –> 2010-2019 9.328728 57582.0386 57659.8272
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 25160.65057 25205.27352 4.3965213 2000-2009 –> 2010-2019 9.212683 57344.9421 57435.6956
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 25220.42177 25258.67001 4.4279498 2000-2009 –> 2010-2019 9.258790 57435.4435 57513.2322
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25199.71071 25244.33367 4.4163686 2000-2009 –> 2010-2019 9.372614 57692.3878 57783.1413
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 16495.38929 16538.69259 2.4009881 2000-2009 –> 2010-2019 5.662435 38655.2341 38743.0317
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 25110.29900 25154.92195 4.3710681 2000-2009 –> 2010-2019 9.173072 57262.9248 57353.6783
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16514.81416 16558.11746 2.4074907 2000-2009 –> 2010-2019 5.676776 38695.0982 38782.8958
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16874.16706 16917.47036 2.5310146 2000-2009 –> 2010-2019 5.772601 38982.0084 39069.8060
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25157.43805 25202.06101 4.3948929 2000-2009 –> 2010-2019 9.234029 57392.9150 57483.6684
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 25100.82097 25145.44392 4.3662933 2000-2009 –> 2010-2019 9.157580 57229.4129 57320.1663
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 16950.36907 16987.48618 2.5587244 2000-2009 –> 2010-2019 5.786599 39020.1210 39095.3760
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 17117.05599 17154.17310 2.6188043 2000-2009 –> 2010-2019 5.929978 39403.7351 39478.9902
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 16918.20842 16961.51172 2.5465829 2000-2009 –> 2010-2019 5.666293 38699.7712 38787.5688
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 17113.70916 17157.01246 2.6168554 2000-2009 –> 2010-2019 5.855213 39213.0671 39300.8646
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 17122.29032 17159.40744 2.6207136 2000-2009 –> 2010-2019 5.938072 39424.8568 39500.1118
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17118.35301 17161.65631 2.6185480 2000-2009 –> 2010-2019 5.860664 39227.5856 39315.3831
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 17152.42761 17189.54473 2.6317338 2000-2009 –> 2010-2019 5.893652 39311.5040 39386.7591
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 23237.37644 23282.55472 2.8713761 2000-2009 –> 2010-2019 5.938004 50932.1143 51023.5162
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 26491.77097 26537.23560 3.6269788 2000-2009 –> 2010-2019 7.883428 58769.4608 58861.3715
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 26759.55546 26805.02009 3.7276606 2000-2009 –> 2010-2019 8.191165 59571.7040 59663.6148
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 26588.24220 26627.21188 3.6636820 2000-2009 –> 2010-2019 7.927950 58884.5817 58963.3623
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 23568.42443 23613.60272 2.9744355 2000-2009 –> 2010-2019 6.189163 51777.2496 51868.6514
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 26606.94707 26652.41171 3.6699451 2000-2009 –> 2010-2019 8.032163 59160.8210 59252.7317
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 26801.84695 26840.81664 3.7445806 2000-2009 –> 2010-2019 8.144473 59450.4825 59529.2631
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23130.89678 23176.07506 2.8389926 2000-2009 –> 2010-2019 6.093520 51473.8381 51565.2400
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 26481.18982 26526.65445 3.6230568 2000-2009 –> 2010-2019 7.830865 58629.5576 58721.4683
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26507.15605 26552.62068 3.6326889 2000-2009 –> 2010-2019 7.890879 58789.4463 58881.3570
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23140.33306 23185.51134 2.8418476 2000-2009 –> 2010-2019 6.102422 51503.5084 51594.9103
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 22779.33444 22824.51273 2.7346439 2000-2009 –> 2010-2019 5.785773 50418.8412 50510.2431
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26619.29568 26664.76031 3.6745819 2000-2009 –> 2010-2019 7.932790 58901.6347 58993.5454
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26502.68474 26548.14937 3.6310285 2000-2009 –> 2010-2019 7.880416 58761.6923 58853.6030
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 26918.49193 26957.46162 3.7895092 2000-2009 –> 2010-2019 8.239731 59695.1070 59773.8876
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 23142.09409 23180.81833 2.8429864 2000-2009 –> 2010-2019 6.179614 51754.5959 51832.9404
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 22850.37350 22895.55178 2.7554155 2000-2009 –> 2010-2019 5.976053 51079.2194 51170.6213
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 23153.07809 23191.80234 2.8463146 2000-2009 –> 2010-2019 6.191648 51793.9823 51872.3267
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 22850.05389 22895.23217 2.7553216 2000-2009 –> 2010-2019 5.977075 51082.6735 51174.0754
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 22848.38782 22887.11207 2.7554197 2000-2009 –> 2010-2019 5.978125 51082.2301 51160.5746
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 24722.53197 24768.37689 2.6482734 2000-2009 –> 2010-2019 5.561530 56889.1853 56982.4450
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 29681.85469 29728.22697 3.4752947 2000-2009 –> 2010-2019 7.433750 64871.1134 64964.7160
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 24584.24608 24630.09100 2.6130441 2000-2009 –> 2010-2019 5.526730 56752.8021 56846.0618
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 29914.53674 29954.28441 3.5493243 2000-2009 –> 2010-2019 7.520556 65142.3524 65222.5832
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 25051.53349 25090.82913 2.7345394 2000-2009 –> 2010-2019 5.774765 57767.4392 57847.3761
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 24621.21126 24667.05617 2.6224151 2000-2009 –> 2010-2019 5.531758 56770.4887 56863.7484
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 31073.39192 31119.76420 3.9379495 2000-2009 –> 2010-2019 7.624737 65367.8030 65461.4056
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 31015.24637 31061.61865 3.9174378 2000-2009 –> 2010-2019 7.634142 65411.3753 65504.9780
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 24440.39791 24486.24282 2.5768950 2000-2009 –> 2010-2019 5.772303 57801.6022 57894.8619
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 29718.89031 29765.26259 3.4868740 2000-2009 –> 2010-2019 7.114449 63809.5205 63903.1231
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24430.89004 24476.73495 2.5745234 2000-2009 –> 2010-2019 5.592537 57054.0409 57147.3006
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29658.73758 29705.10986 3.4680865 2000-2009 –> 2010-2019 7.130734 63870.4704 63964.0731
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 31004.50802 31050.88030 3.9136614 2000-2009 –> 2010-2019 7.641541 65438.4255 65532.0282
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 24420.72294 24466.56786 2.5719897 2000-2009 –> 2010-2019 5.577846 56991.7163 57084.9760
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25271.40082 25317.24573 2.7928482 2000-2009 –> 2010-2019 5.755981 57657.4079 57750.6676
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29821.37908 29867.75136 3.5191189 2000-2009 –> 2010-2019 7.171671 63998.3713 64091.9739
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 24642.14915 24681.44479 2.6282469 2000-2009 –> 2010-2019 5.664883 57342.7882 57422.7251
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24405.08873 24450.93364 2.5680985 2000-2009 –> 2010-2019 5.578626 56996.1483 57089.4079
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29668.37797 29714.75026 3.4710907 2000-2009 –> 2010-2019 7.132855 63877.0746 63970.6773
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 30058.03066 30097.77832 3.5953637 2000-2009 –> 2010-2019 7.260851 64277.5162 64357.7470
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 8229.65129 8268.70546 1.9740824 2000-2009 –> 2010-2019 4.293679 19545.3095 19625.1320
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 8241.35814 8280.41232 1.9799958 2000-2009 –> 2010-2019 4.313777 19587.4995 19667.3220
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 8118.12836 8157.18253 1.9186280 2000-2009 –> 2010-2019 4.159669 19261.5240 19341.3465
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 8254.54646 8293.60064 1.9866787 2000-2009 –> 2010-2019 4.302008 19560.9993 19640.8218
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 8250.75490 8284.22990 1.9857695 2000-2009 –> 2010-2019 4.274929 19498.3719 19566.7912
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 15977.67701 16019.69119 3.5017183 2000-2009 –> 2010-2019 6.579761 31861.4480 31945.7813
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8252.71969 8291.77386 1.9857517 2000-2009 –> 2010-2019 4.274535 19501.5142 19581.3367
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15916.48064 15958.49482 3.4660306 2000-2009 –> 2010-2019 6.545918 31803.9901 31888.3234
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 8121.14707 8160.20124 1.9201083 2000-2009 –> 2010-2019 4.166756 19277.0353 19356.8578
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8255.96556 8295.01973 1.9873991 2000-2009 –> 2010-2019 4.310913 19580.0612 19659.8837
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15905.29467 15947.30885 3.4595467 2000-2009 –> 2010-2019 6.547354 31808.8290 31893.1623
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 8251.60586 8285.08087 1.9862013 2000-2009 –> 2010-2019 4.277407 19503.6886 19572.1079
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8253.54279 8292.59697 1.9861693 2000-2009 –> 2010-2019 4.277181 19507.2021 19587.0246
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15915.72338 15957.73755 3.4655913 2000-2009 –> 2010-2019 6.545827 31803.9379 31888.2711
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 15915.26437 15951.27652 3.4664853 2000-2009 –> 2010-2019 6.584061 31876.6684 31948.9541
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15976.15420 16018.16838 3.5008258 2000-2009 –> 2010-2019 6.578753 31859.6909 31944.0242
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 15964.71331 16000.72546 3.4952978 2000-2009 –> 2010-2019 6.575263 31850.3790 31922.6647
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15929.49027 15971.50444 3.4735868 2000-2009 –> 2010-2019 6.553877 31817.8148 31902.1481
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 15940.63027 15976.64242 3.4812355 2000-2009 –> 2010-2019 6.569316 31842.7163 31915.0019
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 15961.78219 15997.79434 3.4935832 2000-2009 –> 2010-2019 6.573919 31848.1985 31920.4842
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate 9849.34355 9878.44776 1.7423723 2000-2009 –> 2010-2019 3.891320 22914.7989 22973.9166
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 9814.18005 9849.10510 1.7294285 2000-2009 –> 2010-2019 3.875307 22873.0921 22944.0333
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 9536.34910 9571.27415 1.6356601 2000-2009 –> 2010-2019 3.694339 22347.2659 22418.2071
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 9887.56666 9922.49171 1.7550818 2000-2009 –> 2010-2019 3.872413 22866.4158 22937.3571
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 22537.01089 22581.62576 3.2585116 2000-2009 –> 2010-2019 6.001848 43699.8777 43789.1461
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9535.06813 9575.81402 1.6345837 2000-2009 –> 2010-2019 3.687219 22330.4094 22413.1742
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22504.16117 22548.77605 3.2461774 2000-2009 –> 2010-2019 5.999316 43698.0936 43787.3620
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 9850.74828 9885.67332 1.7421642 2000-2009 –> 2010-2019 3.881030 22890.0911 22961.0324
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9662.33773 9703.08362 1.6768613 2000-2009 –> 2010-2019 3.771978 22580.1355 22662.9002
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 22492.29044 22536.90532 3.2417318 2000-2009 –> 2010-2019 6.002560 43710.5176 43799.7860
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 9537.35775 9572.28279 1.6359911 2000-2009 –> 2010-2019 3.697624 22356.8459 22427.7871
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9536.12764 9576.87352 1.6349312 2000-2009 –> 2010-2019 3.689782 22337.9173 22420.6820
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22503.61372 22548.22859 3.2459723 2000-2009 –> 2010-2019 6.000564 43702.1428 43791.4112
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 9660.40142 9695.32646 1.6768827 2000-2009 –> 2010-2019 3.772091 22576.4612 22647.4024
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 22523.40757 22568.02245 3.2533983 2000-2009 –> 2010-2019 5.995991 43683.9135 43773.1819
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 22498.97129 22543.58617 3.2442331 2000-2009 –> 2010-2019 5.996935 43691.5245 43780.7930
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 22551.84578 22590.08710 3.2648508 2000-2009 –> 2010-2019 6.008412 43713.4262 43789.9420
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 22529.01490 22567.25622 3.2562568 2000-2009 –> 2010-2019 6.009469 43721.1832 43797.6990
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 22500.25069 22544.86557 3.2447123 2000-2009 –> 2010-2019 5.998561 43696.4299 43785.6984
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate_star 22505.88900 22544.13033 3.2475748 2000-2009 –> 2010-2019 6.008404 43722.1181 43798.6339
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 13375.74324 13406.54154 1.6357336 2000-2009 –> 2010-2019 3.638606 27132.0841 27193.3175
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 13198.58104 13235.53900 1.5943639 2000-2009 –> 2010-2019 3.425305 26373.1716 26446.6518
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 13242.59558 13279.55355 1.6044291 2000-2009 –> 2010-2019 3.601845 26983.1922 27056.6723
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 37462.84004 37511.08928 3.1691092 2000-2009 –> 2010-2019 6.015377 75052.4966 75149.3174
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12927.01527 12970.13289 1.5332052 2000-2009 –> 2010-2019 3.335877 26002.4033 26088.1301
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 37460.04635 37508.29559 3.1685011 2000-2009 –> 2010-2019 6.049246 75233.2449 75330.0657
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 13348.01279 13384.97076 1.6287951 2000-2009 –> 2010-2019 3.541408 26806.4381 26879.9182
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 13243.25738 13280.21534 1.6045810 2000-2009 –> 2010-2019 3.653592 27149.7236 27223.2037
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12946.51532 12989.63294 1.5374860 2000-2009 –> 2010-2019 3.378940 26160.3437 26246.0705
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 37472.05664 37520.30588 3.1711162 2000-2009 –> 2010-2019 6.037449 75168.7980 75265.6188
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 13197.13329 13234.09126 1.5940339 2000-2009 –> 2010-2019 3.426993 26378.8893 26452.3694
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12927.19152 12970.30915 1.5332439 2000-2009 –> 2010-2019 3.337448 26008.1071 26093.8339
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 37459.41972 37507.66896 3.1683647 2000-2009 –> 2010-2019 6.049703 75235.7580 75332.5788
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 12944.94333 12981.90130 1.5375801 2000-2009 –> 2010-2019 3.396145 26216.9284 26290.4085
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 37471.68672 37513.04321 3.1714713 2000-2009 –> 2010-2019 6.052959 75246.8153 75329.8046
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 37517.75023 37565.99947 3.1810851 2000-2009 –> 2010-2019 6.026362 75102.0962 75198.9170
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 37543.16314 37591.41238 3.1866429 2000-2009 –> 2010-2019 6.061561 75285.4952 75382.3160
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 37597.89184 37639.24834 3.1990847 2000-2009 –> 2010-2019 6.065333 75292.1843 75375.1736
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 37540.19017 37588.43942 3.1859922 2000-2009 –> 2010-2019 6.059378 75274.3919 75371.2127
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 37553.87768 37595.23417 3.1894273 2000-2009 –> 2010-2019 6.065757 75301.6944 75384.6836
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 37038.28992 37086.63847 2.9697059 2000-2009 –> 2010-2019 5.616963 64551.2545 64646.1981
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 37114.71881 37156.16042 2.9855213 2000-2009 –> 2010-2019 5.642442 64667.5634 64748.9437
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 37091.17245 37139.52100 2.9803606 2000-2009 –> 2010-2019 5.675978 64812.2170 64907.1605
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 37265.57676 37313.92530 3.0157710 2000-2009 –> 2010-2019 5.700437 64939.8287 65034.7723
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 7295.37528 7328.94157 1.5125821 2000-2009 –> 2010-2019 3.232707 14850.6720 14917.6081
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 37115.38970 37163.73824 2.9852526 2000-2009 –> 2010-2019 5.615049 64552.2926 64647.2362
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6854.04850 6893.20916 1.3529148 2000-2009 –> 2010-2019 2.935777 14091.5025 14169.5947
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 37177.21269 37225.56123 2.9977776 2000-2009 –> 2010-2019 5.652825 64723.9508 64818.8943
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6850.86617 6890.02684 1.3518319 2000-2009 –> 2010-2019 2.934673 14088.2691 14166.3612
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 37313.09510 37361.44365 3.0254916 2000-2009 –> 2010-2019 5.687589 64890.3160 64985.2596
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 7034.47036 7068.03665 1.4164663 2000-2009 –> 2010-2019 3.229596 14792.2868 14859.2229
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6853.90322 6893.06389 1.3528654 2000-2009 –> 2010-2019 2.935727 14091.3569 14169.4490
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 37163.55406 37211.90261 2.9950059 2000-2009 –> 2010-2019 5.647715 64700.1644 64795.1080
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 6898.55671 6932.12300 1.3688412 2000-2009 –> 2010-2019 2.951705 14134.0143 14200.9504
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 37330.35218 37371.79380 3.0294399 2000-2009 –> 2010-2019 5.691864 64906.9826 64988.3628
obs Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 37285.37384 37333.72238 3.0198170 2000-2009 –> 2010-2019 5.676165 64837.7421 64932.6857
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 7367.32678 7400.89306 1.5402177 2000-2009 –> 2010-2019 3.149351 14666.0904 14733.0265
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7361.28265 7394.84894 1.5378769 2000-2009 –> 2010-2019 3.146546 14658.9374 14725.8735
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7365.43109 7398.99738 1.5394831 2000-2009 –> 2010-2019 3.148593 14664.1388 14731.0749
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 7388.55528 7416.52719 1.5492468 2000-2009 –> 2010-2019 3.158384 14685.3268 14741.1069
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 14968.93977 15011.04012 2.8684441 2000-2009 –> 2010-2019 5.600058 30752.3839 30837.0956
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 14951.12495 14993.22530 2.8600073 2000-2009 –> 2010-2019 5.670880 30920.6584 31005.3701
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 14968.98732 15005.07334 2.8694154 2000-2009 –> 2010-2019 5.601132 30750.6772 30823.2872
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 14950.52968 14992.63003 2.8597259 2000-2009 –> 2010-2019 5.643418 30856.8440 30941.5557
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + silicate + phosphate + phosphate_star 14951.12328 14987.20929 2.8609525 2000-2009 –> 2010-2019 5.644855 30855.9292 30928.5392
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 14967.70507 15009.80543 2.8678586 2000-2009 –> 2010-2019 5.550121 30632.5322 30717.2439
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6301.28269 6340.32971 1.2081160 2000-2009 –> 2010-2019 2.647252 13992.7998 14071.5691
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14950.11968 14992.22003 2.8595320 2000-2009 –> 2010-2019 5.563663 30667.7752 30752.4869
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate 6490.93014 6524.39901 1.2688067 2000-2009 –> 2010-2019 2.924162 14783.1706 14850.6872
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6307.61200 6346.65902 1.2100733 2000-2009 –> 2010-2019 2.675633 14077.4739 14156.2433
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15017.64951 15059.74986 2.8916394 2000-2009 –> 2010-2019 5.607223 30762.8023 30847.5140
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate 6453.35383 6486.82270 1.2566715 2000-2009 –> 2010-2019 2.835527 14541.8539 14609.3704
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6300.28335 6339.33037 1.2078073 2000-2009 –> 2010-2019 2.646393 13990.1559 14068.9253
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14952.00346 14994.10381 2.8604228 2000-2009 –> 2010-2019 5.558974 30656.2227 30740.9344
mod Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 6399.34324 6432.81211 1.2394318 2000-2009 –> 2010-2019 2.723806 14222.1338 14289.6504
obs Indo-Pacific (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 15047.34547 15083.43148 2.9068335 2000-2009 –> 2010-2019 5.644522 30843.2435 30915.8535
mod Indo-Pacific (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 6648.25717 6681.72604 1.3209008 2000-2009 –> 2010-2019 2.818893 14510.3723 14577.8889
mod Indo-Pacific (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6648.53937 6682.00824 1.3209962 2000-2009 –> 2010-2019 2.842967 14579.0354 14646.5520
mod Indo-Pacific (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6647.19399 6680.66286 1.3205417 2000-2009 –> 2010-2019 2.817471 14506.2516 14573.7682
mod Indo-Pacific (28.1,28.15] cstar_tref ~ temp + silicate + phosphate_star 6656.61127 6684.50200 1.3244033 2000-2009 –> 2010-2019 2.854889 14609.1301 14665.3939
obs Indo-Pacific (28.15,28.2] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 6188.38241 6219.93711 2.1261515 2000-2009 –> 2010-2019 4.606710 17036.8599 17102.9311
obs Indo-Pacific (28.15,28.2] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 6190.07096 6226.88477 2.1259185 2000-2009 –> 2010-2019 4.605625 17038.9502 17116.0334
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 6156.07883 6192.89264 2.1006426 2000-2009 –> 2010-2019 4.577381 16999.3812 17076.4644
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6146.66117 6183.47499 2.0936932 2000-2009 –> 2010-2019 4.578074 17004.3085 17081.3917
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6155.00989 6191.82370 2.0998527 2000-2009 –> 2010-2019 4.630617 17098.7832 17175.8664
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate_star 7095.00160 7129.66333 1.0681920 2000-2009 –> 2010-2019 2.440497 16613.6874 16683.8412
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 6146.13355 6182.94736 2.0933045 2000-2009 –> 2010-2019 4.599864 17045.1615 17122.2446
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + silicate + phosphate 6874.30380 6903.18857 1.0203226 2000-2009 –> 2010-2019 2.412863 16471.1781 16529.6396
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6874.36686 6909.02859 1.0199084 2000-2009 –> 2010-2019 2.347332 16210.8996 16281.0534
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 6141.60494 6178.41875 2.0899716 2000-2009 –> 2010-2019 4.625408 17093.9660 17171.0492
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6185.82102 6222.63483 2.1227418 2000-2009 –> 2010-2019 4.622441 17072.0887 17149.1719
obs Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6183.17469 6219.98851 2.1207661 2000-2009 –> 2010-2019 4.624697 17077.3177 17154.4009
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6286.39319 6326.83187 0.9012511 2000-2009 –> 2010-2019 2.102912 15079.6736 15161.5197
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6277.90060 6318.33928 0.8996479 2000-2009 –> 2010-2019 2.135958 15226.9000 15308.7461
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate 6664.96054 6699.62226 0.9761023 2000-2009 –> 2010-2019 2.355507 16211.9169 16282.0707
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6283.96000 6324.39868 0.9007915 2000-2009 –> 2010-2019 2.102061 15075.4555 15157.3016
mod Indo-Pacific (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 6488.88993 6523.55166 0.9407292 2000-2009 –> 2010-2019 2.192418 15503.6104 15573.7642
obs Indo-Pacific (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 6167.45166 6204.26547 2.1090656 2000-2009 –> 2010-2019 4.589509 17017.7131 17094.7962
mod Indo-Pacific (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 7134.12209 7168.78382 1.0769886 2000-2009 –> 2010-2019 2.427138 16563.6449 16633.7987
mod Indo-Pacific (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 7134.20829 7168.87002 1.0770081 2000-2009 –> 2010-2019 2.426527 16561.1754 16631.3293
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 9095.31518 9135.20456 1.8970814 2000-2009 –> 2010-2019 4.664934 19101.0579 19180.3264
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 9098.51823 9132.70913 1.8993210 2000-2009 –> 2010-2019 4.674386 19112.9298 19180.8743
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 56712.83475 56759.27314 1.2850475 2000-2009 –> 2010-2019 2.586926 110434.7541 110527.2591
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 56288.95950 56335.39789 1.2691068 2000-2009 –> 2010-2019 2.568222 109943.0438 110035.5488
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 56357.40948 56403.84788 1.2716676 2000-2009 –> 2010-2019 2.592380 110537.7526 110630.2577
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 56279.70020 56326.13860 1.2687608 2000-2009 –> 2010-2019 2.562692 109806.1840 109898.6891
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + silicate + phosphate_star 56355.52718 56394.22585 1.2716720 2000-2009 –> 2010-2019 2.601962 110764.5077 110841.5952
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9112.35705 9152.24643 1.9044266 2000-2009 –> 2010-2019 4.624599 19046.8560 19126.1246
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate 9110.72348 9144.91438 1.9045849 2000-2009 –> 2010-2019 4.632299 19054.5742 19122.5187
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 56248.18469 56302.36282 1.2675092 2000-2009 –> 2010-2019 2.553071 109569.5424 109677.4650
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 9110.08569 9149.97507 1.9034460 2000-2009 –> 2010-2019 4.603023 19013.4232 19092.6918
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 56278.40892 56332.58704 1.2686378 2000-2009 –> 2010-2019 2.555281 109626.5830 109734.5056
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9154.70828 9194.59765 1.9228038 2000-2009 –> 2010-2019 4.652066 19102.8841 19182.1526
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 56333.12848 56387.30660 1.2706838 2000-2009 –> 2010-2019 2.573926 110090.4655 110198.3880
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 9154.80606 9188.99696 1.9237187 2000-2009 –> 2010-2019 4.657923 19108.3994 19176.3439
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 56276.93791 56331.11603 1.2685829 2000-2009 –> 2010-2019 2.555129 109622.7057 109730.6283
obs Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9155.38423 9195.27361 1.9230985 2000-2009 –> 2010-2019 4.644030 19091.0266 19170.2951
mod Indo-Pacific (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 56332.38425 56378.82265 1.2707308 2000-2009 –> 2010-2019 2.576189 110141.9315 110234.4366
obs Indo-Pacific (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9179.86127 9219.75065 1.9338021 2000-2009 –> 2010-2019 4.704068 19189.1762 19268.4448
obs Indo-Pacific (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 9183.90248 9218.09338 1.9364530 2000-2009 –> 2010-2019 4.708196 19193.4039 19261.3484

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

7.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - mod
(-Inf,26] 5 6 5 8 10 9 6
(26,26.5] 7 7 7 7 6 7 9
(26.5,26.75] 6 7 7 7 6 6 10
(26.75,27] 8 4 8 5 5 10 7
(27,27.25] 8 5 3 5 8 10 7
(27.25,27.5] 6 5 3 5 9 9 8
(27.5,27.75] 6 2 6 6 10 5 8
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 5 4 4 6 10 10 6
(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 5 3 7 6 9
(28.15,28.2] 5 9 1 5 6 6 9
(28.2, Inf] 6 9 1 4 8 7 7
total 90.00 67.00 62.00 80.00 111.00 106.00 112.00
Indo-Pacific - mod
(-Inf,26] 7 6 6 5 9 5 10
(26,26.5] 7 4 7 6 4 9 10
(26.5,26.75] 6 4 6 7 4 10 10
(26.75,27] 4 8 5 8 6 7 10
(27,27.25] 5 10 5 8 3 5 10
(27.25,27.5] 4 10 5 9 5 6 8
(27.5,27.75] 5 6 5 6 10 10 6
(27.75,27.85] 5 6 4 9 10 6 8
(27.85,27.95] 3 4 2 7 10 8 8
(27.95,28.05] 4 3 2 7 10 6 10
(28.05,28.1] 3 2 3 9 6 9 10
(28.1,28.15] 2 3 3 8 6 10 10
(28.15,28.2] 3 1 5 8 8 10 7
(28.2, Inf] 4 2 4 8 10 10 5
total 62.00 69.00 62.00 105.00 101.00 111.00 122.00
Atlantic - obs
(-Inf,26] 8 10 6 6 6 5 8
(26,26.5] 8 10 5 5 5 4 10
(26.5,26.75] 7 8 6 7 4 5 10
(26.75,27] 5 4 3 9 6 9 10
(27,27.25] 7 5 5 7 6 8 10
(27.25,27.5] 8 4 7 5 8 4 10
(27.5,27.75] 8 3 7 5 5 9 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] 4 4 6 7 10 10 6
(28.05,28.1] 5 6 2 10 10 6 7
(28.1,28.15] 3 2 3 10 6 8 10
(28.15,28.2] 7 1 5 7 5 3 10
(28.2, Inf] 5 4 7 8 10 5 8
total 86.00 70.00 77.00 98.00 98.00 96.00 119.00
Indo-Pacific - obs
(-Inf,26] 8 7 6 6 9 5 8
(26,26.5] 5 5 5 7 10 5 10
(26.5,26.75] 6 9 6 6 6 5 10
(26.75,27] 6 10 5 7 4 5 10
(27,27.25] 6 5 6 7 10 9 4
(27.25,27.5] 5 4 6 7 10 10 5
(27.5,27.75] 6 5 6 6 10 7 8
(27.75,27.85] 4 4 5 8 5 10 10
(27.85,27.95] 6 5 5 7 4 10 10
(27.95,28.05] 5 5 5 7 5 10 10
(28.05,28.1] 6 5 7 5 9 9 7
(28.1,28.15] 5 4 6 7 10 10 5
(28.15,28.2] 9 8 9 7 7 5 4
(28.2, Inf] 7 4 10 5 8 4 8
total 84.00 80.00 87.00 92.00 107.00 104.00 109.00

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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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