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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
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 20694.71285 20737.70526 4.9103954 2000-2009 –> 2010-2019 10.449481 36206.0140 36289.7043
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 21504.01935 21540.86999 5.5259134 2000-2009 –> 2010-2019 11.420849 37321.5281 37393.2627
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21116.17225 21159.16466 5.2210695 2000-2009 –> 2010-2019 10.875322 36729.3375 36813.0279
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 26446.89047 26485.14839 5.0756370 2000-2009 –> 2010-2019 11.532830 47326.2726 47400.9127
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21224.74164 21267.73405 5.3042356 2000-2009 –> 2010-2019 11.120612 36977.8410 37061.5314
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26374.99193 26419.62618 5.0326378 2000-2009 –> 2010-2019 11.334567 47101.7253 47188.8054
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21334.50106 21377.49346 5.3896599 2000-2009 –> 2010-2019 11.308819 37174.3088 37257.9992
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26397.93841 26442.57266 5.0459505 2000-2009 –> 2010-2019 11.357769 47134.6349 47221.7150
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 21440.72175 21483.71415 5.4736399 2000-2009 –> 2010-2019 11.664419 37502.6191 37586.3095
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 26447.81006 26492.44431 5.0750057 2000-2009 –> 2010-2019 11.528969 47326.0136 47413.0937
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 21893.68231 21936.67471 5.8466973 2000-2009 –> 2010-2019 11.943549 37879.9018 37963.5922
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 27678.77568 27723.40992 5.8476859 2000-2009 –> 2010-2019 12.463327 48714.1919 48801.2720
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22078.68534 22121.67774 6.0062828 2000-2009 –> 2010-2019 12.279705 38206.2250 38289.9154
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 27774.77814 27819.41238 5.9126762 2000-2009 –> 2010-2019 12.563744 48844.1291 48931.2092
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21469.30480 21512.29721 5.4964607 2000-2009 –> 2010-2019 11.507617 37385.4553 37469.1456
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26598.65262 26643.28687 5.1639088 2000-2009 –> 2010-2019 11.519041 47378.8033 47465.8834
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22145.77603 22188.76844 6.0652260 2000-2009 –> 2010-2019 12.375058 38301.9614 38385.6518
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 27823.81428 27868.44853 5.9461502 2000-2009 –> 2010-2019 12.612621 48907.8636 48994.9437
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 27629.52639 27667.78431 5.8159625 2000-2009 –> 2010-2019 12.902325 49099.6877 49174.3278
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 27546.62031 27591.25455 5.7593882 2000-2009 –> 2010-2019 12.755839 48937.6464 49024.7265
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14771.29326 14812.16166 4.4398582 2000-2009 –> 2010-2019 8.719800 28810.6837 28892.1532
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14671.17728 14712.03740 4.3680037 2000-2009 –> 2010-2019 8.987735 29231.0020 29312.5346
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14999.87350 15040.74191 4.6445269 2000-2009 –> 2010-2019 9.085537 29219.6165 29301.0860
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14705.94796 14746.80807 4.3980868 2000-2009 –> 2010-2019 9.034280 29283.3156 29364.8482
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 14923.57435 14958.59731 4.5929506 2000-2009 –> 2010-2019 9.507608 29786.6187 29856.5038
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13508.35766 13549.22606 3.4612194 2000-2009 –> 2010-2019 7.540183 27312.9402 27394.4098
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 14736.20885 14777.06896 4.4244367 2000-2009 –> 2010-2019 9.135700 29392.7968 29474.3294
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13784.63507 13825.50348 3.6549852 2000-2009 –> 2010-2019 7.902935 27787.3954 27868.8650
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14789.93315 14830.79327 4.4716069 2000-2009 –> 2010-2019 9.219335 29484.5476 29566.0802
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15039.15774 15080.02614 4.6806399 2000-2009 –> 2010-2019 9.162858 29303.9914 29385.4610
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14712.21607 14753.07618 4.4035319 2000-2009 –> 2010-2019 9.045163 29295.3656 29376.8982
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 14777.17082 14812.19378 4.4621174 2000-2009 –> 2010-2019 9.281283 29543.4427 29613.3278
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14664.41063 14705.27904 4.3472757 2000-2009 –> 2010-2019 9.150098 29266.5209 29347.9905
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14706.50070 14747.36081 4.3985667 2000-2009 –> 2010-2019 9.154155 29409.2743 29490.8068
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13837.68220 13878.55061 3.6934126 2000-2009 –> 2010-2019 7.973656 27877.4159 27958.8854
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14788.14430 14829.00442 4.4700282 2000-2009 –> 2010-2019 9.219692 29484.7688 29566.3014
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 14797.74651 14832.76947 4.4802773 2000-2009 –> 2010-2019 9.253148 29516.4101 29586.2952
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14746.66424 14787.53265 4.4183511 2000-2009 –> 2010-2019 8.696638 28784.1668 28865.6363
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14865.27628 14906.14468 4.5228947 2000-2009 –> 2010-2019 8.811210 28914.2085 28995.6781
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14905.09494 14945.96334 4.5585423 2000-2009 –> 2010-2019 8.864413 28973.9728 29055.4423
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14108.56954 14149.01115 4.6397452 2000-2009 –> 2010-2019 9.094939 27056.3295 27136.7080
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 15558.40590 15599.43799 4.8306272 2000-2009 –> 2010-2019 9.852618 31797.6986 31879.9726
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14261.93571 14302.37733 4.7912829 2000-2009 –> 2010-2019 9.349654 27311.3495 27391.7279
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15605.43442 15646.46651 4.8745812 2000-2009 –> 2010-2019 9.955102 31906.7190 31988.9930
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 15852.38166 15887.55202 5.1140028 2000-2009 –> 2010-2019 10.487705 32451.8188 32522.3394
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 13423.83589 13464.27751 4.0195485 2000-2009 –> 2010-2019 8.386487 26282.7597 26363.1381
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 15854.25161 15895.28370 5.1138748 2000-2009 –> 2010-2019 10.477625 32445.7720 32528.0460
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13579.66780 13620.10942 4.1529754 2000-2009 –> 2010-2019 8.633218 26552.3216 26632.7000
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15902.17990 15943.21199 5.1613004 2000-2009 –> 2010-2019 10.561374 32529.8083 32612.0823
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15609.71323 15650.74532 4.8786001 2000-2009 –> 2010-2019 9.968354 31920.7119 32002.9859
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 15628.74174 15663.91210 4.8983994 2000-2009 –> 2010-2019 10.099470 32053.4881 32124.0087
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13681.04612 13721.48774 4.2421468 2000-2009 –> 2010-2019 8.855792 26783.9740 26864.3525
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15620.44331 15661.47539 4.8886929 2000-2009 –> 2010-2019 10.021507 31976.5133 32058.7873
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 15891.69022 15926.86058 5.1528678 2000-2009 –> 2010-2019 10.569152 32533.3544 32603.8750
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13589.25613 13629.69774 4.1613283 2000-2009 –> 2010-2019 8.650117 26570.3712 26650.7497
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15891.78186 15932.81395 5.1509742 2000-2009 –> 2010-2019 10.546894 32515.2935 32597.5675
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 13702.24931 13736.91356 4.2628239 2000-2009 –> 2010-2019 8.895546 26821.4984 26890.3943
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14041.92990 14082.37152 4.5754027 2000-2009 –> 2010-2019 9.006558 26965.6689 27046.0474
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14165.91119 14206.35280 4.6958339 2000-2009 –> 2010-2019 9.223315 27185.1338 27265.5123
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14179.73330 14220.17491 4.7094551 2000-2009 –> 2010-2019 9.253697 27215.3629 27295.7413
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25487.56053 25531.97706 4.9849579 2000-2009 –> 2010-2019 10.202399 50241.0990 50329.6227
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17737.51742 17780.08125 3.7576391 2000-2009 –> 2010-2019 7.949573 36569.6773 36654.9508
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25219.05726 25263.47378 4.8285016 2000-2009 –> 2010-2019 9.947315 49818.8507 49907.3744
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17928.46374 17971.02757 3.8703308 2000-2009 –> 2010-2019 8.173252 36933.0429 37018.3164
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 25450.50312 25494.91965 4.9630667 2000-2009 –> 2010-2019 10.196170 50228.1885 50316.7122
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 18231.31416 18273.87799 4.0560368 2000-2009 –> 2010-2019 8.563364 37542.1085 37627.3819
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 25631.79114 25676.20767 5.0710834 2000-2009 –> 2010-2019 10.223400 50284.1410 50372.6647
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17934.60945 17977.17327 3.8740134 2000-2009 –> 2010-2019 8.168675 36926.5112 37011.7846
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 25499.97338 25544.38991 4.9923122 2000-2009 –> 2010-2019 10.244815 50307.4680 50395.9917
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 17960.57065 17997.05394 3.8908127 2000-2009 –> 2010-2019 8.261561 37066.3431 37139.4347
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17642.33575 17684.89958 3.7026968 2000-2009 –> 2010-2019 8.059457 36728.9588 36814.2322
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25304.49226 25348.90878 4.8777443 2000-2009 –> 2010-2019 9.954293 49837.4929 49926.0167
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 18479.37281 18515.85610 4.2160688 2000-2009 –> 2010-2019 8.603986 37611.0121 37684.1036
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 25344.45161 25382.52291 4.9021122 2000-2009 –> 2010-2019 10.047885 49984.5632 50060.4407
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 17996.10049 18038.66432 3.9110537 2000-2009 –> 2010-2019 8.298548 37129.1042 37214.3776
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18172.81932 18215.38315 4.0194867 2000-2009 –> 2010-2019 8.532416 37491.8088 37577.0823
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 25417.83145 25462.24798 4.9438461 2000-2009 –> 2010-2019 10.059309 50012.3502 50100.8739
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18180.46688 18223.03071 4.0242465 2000-2009 –> 2010-2019 8.526046 37483.1640 37568.4375
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 25420.30863 25464.72516 4.9453008 2000-2009 –> 2010-2019 10.060385 50014.2318 50102.7555
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 25418.33050 25456.40181 4.9453136 2000-2009 –> 2010-2019 10.060800 50010.8868 50086.7643
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 29470.71964 29516.25548 4.7707848 2000-2009 –> 2010-2019 9.518148 61500.2541 61591.9205
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 29697.59688 29743.13272 4.8816052 2000-2009 –> 2010-2019 9.738372 61972.1915 62063.8578
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 29473.81200 29512.84273 4.7732444 2000-2009 –> 2010-2019 9.520633 61501.4039 61579.9751
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 29739.27415 29778.30487 4.9032335 2000-2009 –> 2010-2019 9.772042 62038.5032 62117.0743
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 29612.03616 29657.57201 4.8395131 2000-2009 –> 2010-2019 9.655675 61796.3277 61887.9941
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 29657.54483 29696.57556 4.8628403 2000-2009 –> 2010-2019 9.693680 61872.5666 61951.1377
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20881.02339 20925.58310 2.7432780 2000-2009 –> 2010-2019 5.908268 42785.2701 42874.3241
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29759.13347 29804.66932 4.9121047 2000-2009 –> 2010-2019 9.868350 62251.8106 62343.4769
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21273.45090 21318.01060 2.8714482 2000-2009 –> 2010-2019 6.132895 43433.2957 43522.3497
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29620.62328 29666.15912 4.8437211 2000-2009 –> 2010-2019 9.645725 61773.2491 61864.9155
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21292.61437 21337.17408 2.8778583 2000-2009 –> 2010-2019 6.147144 43472.8984 43561.9524
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21427.74688 21472.30659 2.9234676 2000-2009 –> 2010-2019 6.165054 43535.5883 43624.6422
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29705.65374 29751.18959 4.8855877 2000-2009 –> 2010-2019 9.724723 61941.1307 62032.7970
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29591.22225 29636.75809 4.8293286 2000-2009 –> 2010-2019 9.620615 61719.8142 61811.4805
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 21182.21966 21220.41370 2.8417883 2000-2009 –> 2010-2019 6.069663 43251.9716 43328.3035
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 21521.62649 21559.82052 2.9562661 2000-2009 –> 2010-2019 6.267440 43808.3056 43884.6376
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21138.44776 21183.00747 2.8266931 2000-2009 –> 2010-2019 5.946404 42920.0106 43009.0645
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 21512.77236 21557.33207 2.9525347 2000-2009 –> 2010-2019 6.190893 43612.1303 43701.1842
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 21522.87852 21567.43822 2.9560088 2000-2009 –> 2010-2019 6.198125 43632.1111 43721.1651
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 21576.26966 21614.46369 2.9751228 2000-2009 –> 2010-2019 6.237041 43735.3461 43811.6780
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 27948.89816 27995.12432 3.1360248 2000-2009 –> 2010-2019 6.202653 55643.6361 55736.0858
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31995.37341 32041.86414 4.0766402 2000-2009 –> 2010-2019 8.333089 64273.0632 64366.0000
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 32425.15145 32471.64218 4.2343339 2000-2009 –> 2010-2019 8.697838 65237.3000 65330.2368
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 31998.37332 32038.22251 4.0784406 2000-2009 –> 2010-2019 8.342708 64294.7128 64374.3729
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 28384.50130 28430.72746 3.2638417 2000-2009 –> 2010-2019 6.478569 56593.3264 56685.7762
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 32229.07427 32275.56500 4.1616467 2000-2009 –> 2010-2019 8.523865 64782.9482 64875.8850
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 32267.74919 32307.59838 4.1766219 2000-2009 –> 2010-2019 8.576514 64916.3847 64996.0448
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 32545.28264 32591.77337 4.2794931 2000-2009 –> 2010-2019 8.706947 65266.1829 65359.1197
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 28282.03940 28328.26556 3.2333159 2000-2009 –> 2010-2019 6.487843 56624.9807 56717.4304
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 31911.60678 31958.09751 4.0465955 2000-2009 –> 2010-2019 8.254404 64059.9745 64152.9113
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 32052.42319 32098.91391 4.0972300 2000-2009 –> 2010-2019 8.355420 64334.7135 64427.6503
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 28293.24708 28339.47325 3.2366410 2000-2009 –> 2010-2019 6.497215 56656.4224 56748.8722
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27824.60013 27870.82629 3.1004793 2000-2009 –> 2010-2019 6.151608 55464.1069 55556.5566
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 32058.29771 32104.78844 4.0993560 2000-2009 –> 2010-2019 8.357564 64340.6367 64433.5735
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 32024.20814 32070.69887 4.0870340 2000-2009 –> 2010-2019 8.336422 64283.2157 64376.1525
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 28381.96599 28421.58841 3.2636815 2000-2009 –> 2010-2019 6.600309 56994.4678 57073.7105
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 27948.78637 27995.01254 3.1359927 2000-2009 –> 2010-2019 6.356630 56177.6323 56270.0820
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 28397.14432 28436.76675 3.2682277 2000-2009 –> 2010-2019 6.613561 57038.0485 57117.2912
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 27939.09719 27985.32336 3.1332073 2000-2009 –> 2010-2019 6.354960 56171.7168 56264.1666
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 27984.91962 28024.54205 3.1469790 2000-2009 –> 2010-2019 6.369685 56218.7619 56298.0046
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31357.87960 31405.06980 2.9617093 2000-2009 –> 2010-2019 5.874966 63524.5329 63619.1379
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 36398.86985 36446.43999 3.7999482 2000-2009 –> 2010-2019 7.758404 71588.1285 71682.9290
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 31280.05337 31327.24356 2.9433472 2000-2009 –> 2010-2019 5.857033 63448.6094 63543.2144
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 31785.53183 31825.98056 3.0651616 2000-2009 –> 2010-2019 6.105387 64501.4375 64582.5275
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 31285.42193 31332.61212 2.9446102 2000-2009 –> 2010-2019 5.853953 63434.6993 63529.3043
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 31881.75358 31922.20231 3.0888209 2000-2009 –> 2010-2019 6.140453 64646.0504 64727.1404
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 37183.03803 37230.60817 4.0323130 2000-2009 –> 2010-2019 7.719100 71477.4491 71572.2496
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 37200.03987 37247.61001 4.0375053 2000-2009 –> 2010-2019 7.754209 71596.1688 71690.9693
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 36111.24827 36158.81840 3.7181183 2000-2009 –> 2010-2019 7.345693 70201.8784 70296.6789
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 31470.18338 31517.37357 2.9884080 2000-2009 –> 2010-2019 6.006422 64093.3343 64187.9393
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 36148.63878 36196.20892 3.7286556 2000-2009 –> 2010-2019 7.391303 70360.3716 70455.1721
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 31266.83329 31314.02349 2.9402394 2000-2009 –> 2010-2019 5.946096 63837.8267 63932.4316
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 31915.70532 31962.89551 3.0967176 2000-2009 –> 2010-2019 6.059850 64301.7124 64396.3174
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 36160.02978 36207.59992 3.7318718 2000-2009 –> 2010-2019 7.384423 70337.0220 70431.8225
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 31431.23065 31471.67938 2.9795965 2000-2009 –> 2010-2019 6.016233 64131.8697 64212.9597
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 31422.83769 31470.02789 2.9771230 2000-2009 –> 2010-2019 5.987651 64013.8972 64108.5022
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 36142.55933 36190.12946 3.7269403 2000-2009 –> 2010-2019 7.388705 70351.2560 70446.0565
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 36475.98873 36516.76313 3.8227721 2000-2009 –> 2010-2019 7.488259 70695.4743 70776.7318
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 37010.21191 37057.78205 3.9799098 2000-2009 –> 2010-2019 7.730636 71521.0274 71615.8279
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 37008.37943 37049.15384 3.9799603 2000-2009 –> 2010-2019 7.752435 71589.9635 71671.2211
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 11381.71142 11416.54427 2.4537773 2000-2009 –> 2010-2019 4.783284 22716.6876 22786.4647
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11382.44435 11423.08267 2.4531439 2000-2009 –> 2010-2019 4.772740 22698.1026 22779.5092
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 11343.26684 11378.09969 2.4346318 2000-2009 –> 2010-2019 4.760633 22670.7132 22740.4903
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 11234.95939 11275.59771 2.3805237 2000-2009 –> 2010-2019 4.621565 22378.3551 22459.7617
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 11348.48309 11383.31593 2.4372207 2000-2009 –> 2010-2019 4.726381 22596.1001 22665.8772
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 18910.08274 18953.23829 3.5545118 2000-2009 –> 2010-2019 6.632555 34793.8537 34879.3284
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11331.55282 11372.19114 2.4278384 2000-2009 –> 2010-2019 4.716622 22580.3473 22661.7540
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18863.58903 18906.74459 3.5310878 2000-2009 –> 2010-2019 6.610975 34751.0985 34836.5732
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11248.78548 11289.42380 2.3872392 2000-2009 –> 2010-2019 4.633887 22404.6737 22486.0804
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11396.21403 11436.85235 2.4600360 2000-2009 –> 2010-2019 4.783550 22720.3097 22801.7163
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18864.20886 18907.36442 3.5313991 2000-2009 –> 2010-2019 6.619206 34767.7432 34853.2179
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 11351.84229 11386.67514 2.4388894 2000-2009 –> 2010-2019 4.730095 22603.9250 22673.7022
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11338.20181 11378.84013 2.4311297 2000-2009 –> 2010-2019 4.722141 22591.8611 22673.2678
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18864.03725 18907.19281 3.5313129 2000-2009 –> 2010-2019 6.611548 34752.2517 34837.7264
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18913.62112 18956.77667 3.5563008 2000-2009 –> 2010-2019 6.634228 34797.1578 34882.6325
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18875.69262 18918.84818 3.5371708 2000-2009 –> 2010-2019 6.617107 34763.2997 34848.7744
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 18894.63054 18931.62102 3.5477185 2000-2009 –> 2010-2019 6.627683 34780.2962 34853.5602
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18878.25699 18921.41255 3.5384609 2000-2009 –> 2010-2019 6.618751 34766.5815 34852.0562
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 18884.61743 18921.60790 3.5426704 2000-2009 –> 2010-2019 6.630751 34786.7034 34859.9674
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 18893.68914 18930.67962 3.5472436 2000-2009 –> 2010-2019 6.627579 34780.1055 34853.3695
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 13679.56243 13709.80478 2.1498445 2000-2009 –> 2010-2019 4.274069 26675.8436 26736.0995
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 13654.04233 13690.33314 2.1404111 2000-2009 –> 2010-2019 4.199090 26464.9591 26537.2661
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 13681.46848 13717.75929 2.1498122 2000-2009 –> 2010-2019 4.267143 26660.3177 26732.6246
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 26049.37277 26095.01549 3.2423358 2000-2009 –> 2010-2019 5.985672 47212.2396 47302.5359
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13655.77768 13698.11696 2.1403206 2000-2009 –> 2010-2019 4.192956 26451.1190 26535.4771
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26049.37137 26095.01409 3.2423354 2000-2009 –> 2010-2019 5.995474 47243.3038 47333.6001
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 13748.08307 13784.37388 2.1728186 2000-2009 –> 2010-2019 4.311685 26787.4259 26859.7329
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13734.73549 13777.07477 2.1674963 2000-2009 –> 2010-2019 4.262613 26652.5332 26736.8914
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26050.78025 26096.42296 3.2427907 2000-2009 –> 2010-2019 6.003619 47269.0074 47359.3037
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 13659.57525 13695.86607 2.1423044 2000-2009 –> 2010-2019 4.203937 26479.0634 26551.3704
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 13732.37392 13768.66473 2.1673711 2000-2009 –> 2010-2019 4.310922 26784.7975 26857.1045
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13661.02575 13703.36503 2.1421163 2000-2009 –> 2010-2019 4.196967 26462.8154 26547.1735
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26049.81500 26095.45772 3.2424787 2000-2009 –> 2010-2019 5.997070 47248.3441 47338.6403
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 13733.40292 13769.69373 2.1677275 2000-2009 –> 2010-2019 4.262936 26649.4627 26721.7697
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 26047.00653 26092.64924 3.2415711 2000-2009 –> 2010-2019 5.984164 47207.5125 47297.8087
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 26052.04354 26097.68625 3.2431991 2000-2009 –> 2010-2019 5.995901 47244.5968 47334.8930
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 26049.23852 26088.36085 3.2429389 2000-2009 –> 2010-2019 5.986500 47210.8190 47288.2158
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 26051.87210 26090.99442 3.2437903 2000-2009 –> 2010-2019 5.997003 47244.0404 47321.4372
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26052.52616 26098.16888 3.2433551 2000-2009 –> 2010-2019 5.997204 47248.7054 47339.0017
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 26052.68366 26091.80598 3.2440527 2000-2009 –> 2010-2019 5.998674 47249.3066 47326.7034
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 16870.08128 16901.65300 1.9083434 2000-2009 –> 2010-2019 3.911216 30626.4221 30688.4290
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 16811.53418 16849.42023 1.8942428 2000-2009 –> 2010-2019 3.725184 29986.1248 30060.5330
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 16792.80447 16830.69052 1.8899021 2000-2009 –> 2010-2019 3.887318 30533.4010 30607.8093
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 42468.94094 42518.09720 3.1358781 2000-2009 –> 2010-2019 5.982146 80058.5975 80156.3253
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16674.91846 16719.11885 1.8623522 2000-2009 –> 2010-2019 3.665024 29750.3065 29837.1161
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42525.02421 42574.18046 3.1465085 2000-2009 –> 2010-2019 6.027254 80298.2228 80395.9506
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 16978.46342 17016.34947 1.9333731 2000-2009 –> 2010-2019 3.845985 30436.8888 30511.2970
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 16818.33290 16856.21895 1.8958210 2000-2009 –> 2010-2019 3.944831 30724.7991 30799.2073
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16704.11055 16748.31095 1.8690233 2000-2009 –> 2010-2019 3.710477 29917.9390 30004.7485
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42528.34793 42577.50419 3.1471397 2000-2009 –> 2010-2019 6.013473 80225.0893 80322.8171
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 16814.95228 16852.83834 1.8950361 2000-2009 –> 2010-2019 3.727995 29996.7083 30071.1165
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16676.81152 16721.01191 1.8627841 2000-2009 –> 2010-2019 3.666989 29757.7271 29844.5367
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42522.15657 42571.31282 3.1459641 2000-2009 –> 2010-2019 6.027303 80298.4949 80396.2227
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 16702.39150 16740.27756 1.8690877 2000-2009 –> 2010-2019 3.727652 29974.3766 30048.7848
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 42531.63342 42573.76736 3.1481436 2000-2009 –> 2010-2019 6.029632 80306.7620 80390.5287
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 42578.38910 42627.54536 3.1566572 2000-2009 –> 2010-2019 6.001934 80162.7351 80260.4629
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 42688.21090 42737.36716 3.1776457 2000-2009 –> 2010-2019 6.052564 80430.5430 80528.2708
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 42596.77710 42638.91103 3.1605431 2000-2009 –> 2010-2019 6.026792 80291.0696 80374.8363
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 42690.24840 42739.40466 3.1780364 2000-2009 –> 2010-2019 6.051422 80424.4502 80522.1780
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 42688.30095 42730.43489 3.1780465 2000-2009 –> 2010-2019 6.054377 80436.1177 80519.8844
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 40701.85880 40750.83450 3.0054687 2000-2009 –> 2010-2019 5.652726 68214.8234 68310.3941
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 40740.62327 40782.60243 3.0130644 2000-2009 –> 2010-2019 5.669985 68293.4679 68375.3857
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 40838.62355 40887.59924 3.0310283 2000-2009 –> 2010-2019 5.726646 68559.6681 68655.2388
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 41015.52383 41064.49953 3.0644114 2000-2009 –> 2010-2019 5.749077 68689.7758 68785.3465
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 9209.33830 9243.83941 1.7533691 2000-2009 –> 2010-2019 3.473494 16764.6350 16832.5059
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 40727.55396 40776.52965 3.0102543 2000-2009 –> 2010-2019 5.640051 68164.4569 68260.0276
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8775.07712 8815.32841 1.5961561 2000-2009 –> 2010-2019 3.179018 16012.5311 16091.7139
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 40848.05197 40897.02767 3.0327983 2000-2009 –> 2010-2019 5.687845 68394.7901 68490.3608
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8762.04685 8802.29814 1.5916839 2000-2009 –> 2010-2019 3.174525 15999.4497 16078.6325
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 40945.07427 40994.04996 3.0510729 2000-2009 –> 2010-2019 5.713171 68522.2952 68617.8659
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 8897.77855 8932.27966 1.6395970 2000-2009 –> 2010-2019 3.452726 16655.5950 16723.4659
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8773.49671 8813.74800 1.5956130 2000-2009 –> 2010-2019 3.178475 16010.9503 16090.1331
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 40827.62667 40876.60237 3.0289651 2000-2009 –> 2010-2019 5.681674 68364.2370 68459.8077
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 8841.60063 8876.10173 1.6198825 2000-2009 –> 2010-2019 3.202746 16077.0582 16144.9291
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 40980.27676 41022.25593 3.0581094 2000-2009 –> 2010-2019 5.720534 68556.9072 68638.8249
obs Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 40980.38092 41029.35662 3.0577504 2000-2009 –> 2010-2019 5.714098 68532.7492 68628.3199
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 9089.58280 9124.08391 1.7087327 2000-2009 –> 2010-2019 3.317866 16388.3464 16456.2174
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9111.54952 9146.05063 1.7168344 2000-2009 –> 2010-2019 3.325504 16409.2043 16477.0752
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9086.06388 9120.56498 1.7074384 2000-2009 –> 2010-2019 3.316549 16384.7716 16452.6425
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 9157.88100 9186.63192 1.7347953 2000-2009 –> 2010-2019 3.343932 16454.6525 16511.2117
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 29394.90975 29441.83429 2.7724073 2000-2009 –> 2010-2019 5.440128 56199.5288 56292.8432
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 18731.29504 18770.77041 1.4055008 2000-2009 –> 2010-2019 2.964416 36970.1885 37048.6360
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 29415.86067 29456.08171 2.7776936 2000-2009 –> 2010-2019 5.450038 56237.8080 56317.7918
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 29476.13981 29523.06436 2.7911626 2000-2009 –> 2010-2019 5.505404 56473.7291 56567.0435
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate 18834.07150 18866.96764 1.4194098 2000-2009 –> 2010-2019 3.023614 37351.1594 37416.5323
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 18831.15236 18870.62773 1.4187537 2000-2009 –> 2010-2019 3.008680 37262.7694 37341.2169
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 29510.46290 29550.68394 2.7995902 2000-2009 –> 2010-2019 5.522111 56540.0461 56620.0299
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29535.95392 29582.87847 2.8050542 2000-2009 –> 2010-2019 5.514235 56512.7111 56606.0255
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 17653.90636 17699.96096 1.2699117 2000-2009 –> 2010-2019 2.645047 34667.5173 34759.0394
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 29417.80131 29464.72585 2.7776799 2000-2009 –> 2010-2019 5.427371 56146.7243 56240.0387
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17665.63984 17711.69444 1.2713129 2000-2009 –> 2010-2019 2.648344 34692.7293 34784.2514
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29506.20240 29553.12695 2.7981359 2000-2009 –> 2010-2019 5.479088 56366.0441 56459.3585
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate 18558.87609 18598.35146 1.3829085 2000-2009 –> 2010-2019 2.991703 37105.9176 37184.3651
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17736.69935 17782.75395 1.2798318 2000-2009 –> 2010-2019 2.667182 34836.8308 34928.3529
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29574.74140 29621.66595 2.8140993 2000-2009 –> 2010-2019 5.518992 56533.8194 56627.1338
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate 18332.75610 18372.23147 1.3538292 2000-2009 –> 2010-2019 2.910369 36556.7326 36635.1801
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17661.92520 17707.97980 1.2708692 2000-2009 –> 2010-2019 2.647633 34687.1112 34778.6333
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29490.10269 29537.02724 2.7943992 2000-2009 –> 2010-2019 5.469228 56324.4240 56417.7384
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 17993.50320 18032.97857 1.3113437 2000-2009 –> 2010-2019 2.701812 35113.6020 35192.0495
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 29600.52766 29640.74870 2.8205970 2000-2009 –> 2010-2019 5.537719 56607.9570 56687.9408
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 10709.90478 10750.41645 2.2258277 2000-2009 –> 2010-2019 4.935249 17932.2742 18009.9410
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + silicate + phosphate + phosphate_star 10722.55269 10757.27698 2.2326023 2000-2009 –> 2010-2019 4.942032 17942.9316 18009.5031
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 10730.66611 10771.17779 2.2354358 2000-2009 –> 2010-2019 4.937481 17944.9020 18022.5688
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + phosphate + phosphate_star 10734.74473 10769.46902 2.2382567 2000-2009 –> 2010-2019 4.940349 17947.0320 18013.6035
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate 34625.69694 34671.13809 0.8062844 2000-2009 –> 2010-2019 1.666917 62958.4536 63047.8153
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10720.47237 10760.98404 2.2307131 2000-2009 –> 2010-2019 4.916496 17916.6941 17994.3609
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate_star 36082.17221 36127.61335 0.8481711 2000-2009 –> 2010-2019 1.767038 65876.2892 65965.6508
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate_star 36680.68605 36726.12719 0.8660083 2000-2009 –> 2010-2019 1.821883 67356.1383 67445.5000
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35636.22711 35681.66826 0.8351201 2000-2009 –> 2010-2019 1.737496 65026.1342 65115.4959
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10727.72898 10768.24065 2.2340740 2000-2009 –> 2010-2019 4.937808 17943.8283 18021.4951
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 37319.76784 37372.78251 0.8854072 2000-2009 –> 2010-2019 1.876316 68800.6329 68904.8882
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate 10738.64125 10773.36554 2.2400668 2000-2009 –> 2010-2019 4.943801 17952.7408 18019.3123
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 34126.10346 34179.11812 0.7923432 2000-2009 –> 2010-2019 1.623246 61676.1882 61780.4435
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 10740.61288 10781.12456 2.2400537 2000-2009 –> 2010-2019 4.943528 17956.4255 18034.0923
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 34145.29464 34198.30931 0.7928721 2000-2009 –> 2010-2019 1.624077 61703.5052 61807.7605
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34648.44805 34701.46272 0.8068664 2000-2009 –> 2010-2019 1.655817 62678.1590 62782.4143
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 34142.06514 34195.07981 0.7927831 2000-2009 –> 2010-2019 1.623950 61699.2532 61803.5085
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate_star 35071.76733 35117.20847 0.8188883 2000-2009 –> 2010-2019 1.673079 63236.8314 63326.1931
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 10728.65362 10769.16529 2.2345026 2000-2009 –> 2010-2019 4.946538 17953.9017 18031.5685
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + phosphate + phosphate_star 10736.48018 10771.20447 2.2390627 2000-2009 –> 2010-2019 4.951316 17959.9678 18026.5394
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 17856.69526 17896.69411 1.1253254 2000-2009 –> 2010-2019 2.054631 30783.9660 30862.8218
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 17961.97067 18001.96952 1.1355759 2000-2009 –> 2010-2019 2.088392 31129.0342 31207.8900
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4124.81705 4158.18039 2.5832380 2000-2009 –> 2010-2019 5.068272 6733.5738 6797.1951
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17832.99106 17879.65639 1.1228367 2000-2009 –> 2010-2019 2.070188 30946.8556 31038.8540
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4109.58367 4142.94701 2.5606692 2000-2009 –> 2010-2019 5.040647 6716.0714 6779.6927
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate 4134.64944 4163.24659 2.6009052 2000-2009 –> 2010-2019 5.095170 6745.5364 6800.0690
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate_star 4121.89006 4150.48721 2.5818589 2000-2009 –> 2010-2019 5.074830 6732.1991 6786.7317
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4116.18486 4149.54820 2.5704248 2000-2009 –> 2010-2019 5.050669 6722.7922 6786.4135
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate_star 18075.78155 18115.78040 1.1467625 2000-2009 –> 2010-2019 2.127061 31515.7717 31594.6275
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4127.40707 4156.00422 2.5900771 2000-2009 –> 2010-2019 5.080401 6736.5323 6791.0649
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17606.64100 17653.30632 1.1011578 2000-2009 –> 2010-2019 2.027209 30502.2408 30594.2392
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 4124.94776 4158.31110 2.5834325 2000-2009 –> 2010-2019 5.076202 6737.1667 6800.7880
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4120.46073 4153.82407 2.5767637 2000-2009 –> 2010-2019 5.069034 6732.4565 6796.0778
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate 17606.48590 17646.48475 1.1013328 2000-2009 –> 2010-2019 2.071707 30948.8148 31027.6706
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4133.72903 4167.09237 2.5965335 2000-2009 –> 2010-2019 5.117407 6758.4371 6822.0584
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17980.92955 18027.59487 1.1372358 2000-2009 –> 2010-2019 2.109185 31340.8211 31432.8195
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4122.72990 4156.09324 2.5801341 2000-2009 –> 2010-2019 5.070190 6733.7354 6797.3567
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate 17841.29415 17881.29300 1.1238336 2000-2009 –> 2010-2019 2.050426 30740.4989 30819.3547
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate_star 17869.28403 17909.28288 1.1265463 2000-2009 –> 2010-2019 2.057752 30816.1602 30895.0160
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 17844.41538 17884.41423 1.1241358 2000-2009 –> 2010-2019 2.051855 30755.2810 30834.1369

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

[[2]]

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

7.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  imap(
  ~ ggplot(data = .x,
         aes("",
             !!sym(params_local$MLR_criterion),
             col = data_source)) +
  geom_hline(yintercept = c(0, 10)) +
  geom_boxplot() +
  facet_grid(gamma_slab ~ basin) +
  scale_color_brewer(palette = "Set1") +
  ylim(c(0, NA)) +
  labs(x = "Number of predictors pooled",
           title = paste("Era:", unique(.x$era)))
  )
[[1]]

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

[[2]]

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

7.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjecent eras (ie check whether the same predictor combination performs equal in both eras).

7.2.1 All models

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

lm_all_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

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

7.2.2 Best models

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

lm_best_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0, max_rmse),
              ylim = c(0, max_rmse)) +
  geom_abline(slope = 1,
              col = 'red') +
  facet_grid(data_source ~ basin)

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

7.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - mod
(-Inf,26] 5 6 5 8 10 9 6
(26,26.5] 7 7 7 7 6 7 9
(26.5,26.75] 6 7 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] 8 5 7 7 10 5 7
(26,26.5] 6 7 6 7 7 7 10
(26.5,26.75] 6 6 5 7 7 8 10
(26.75,27] 6 9 6 6 6 5 10
(27,27.25] 6 10 5 7 4 5 10
(27.25,27.5] 4 10 5 9 5 6 8
(27.5,27.75] 4 5 6 7 10 10 5
(27.75,27.85] 6 6 3 8 10 5 8
(27.85,27.95] 4 2 3 6 10 7 10
(27.95,28.05] 4 3 2 7 10 6 10
(28.05,28.1] 3 2 3 9 6 9 10
(28.1,28.2] 3 2 6 5 10 10 7
(28.2,28.3] 5 3 4 7 10 10 6
(28.3,28.4] 6 10 5 7 5 4 6
total 71.00 80.00 66.00 99.00 110.00 97.00 117.00
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] 6 7 6 6 8 5 10
(26,26.5] 5 5 5 7 10 5 10
(26.5,26.75] 5 5 6 7 10 4 10
(26.75,27] 6 9 6 6 6 6 9
(27,27.25] 6 5 6 7 10 9 4
(27.25,27.5] 6 5 7 6 10 9 5
(27.5,27.75] 7 5 6 5 8 8 9
(27.75,27.85] 5 5 5 8 4 10 10
(27.85,27.95] 6 4 6 7 4 10 10
(27.95,28.05] 5 5 5 7 5 10 10
(28.05,28.1] 6 5 7 5 9 9 7
(28.1,28.2] 5 4 7 6 10 9 6
(28.2,28.3] 10 4 10 7 6 4 5
(28.3,28.4] 6 4 7 6 10 10 4
total 84.00 72.00 89.00 90.00 110.00 108.00 109.00

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

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

7.4.2 AIC vs BIC

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

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

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

7.5 RMSE vs VIF

GLODAP_glanced %>% 
  ggplot(aes(rmse, log10(vif_max),col=data_source)) +
  geom_hline(yintercept = 1) +
  geom_point() +
  scale_color_brewer(palette = "Set1") +
  facet_grid(gamma_slab~basin)

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

7.6 Residual patterns

7.6.1 Fitted vs actual models

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

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

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

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

Version Author Date
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24 
GLODAP_augmented_best %>%
  ggplot(aes(cstar_tref, .fitted)) +
  geom_bin2d(binwidth = i_binwidth) +
  scale_fill_viridis_c() +
  geom_abline(slope = 1,
              col = 'red') +
  coord_equal(xlim = axis_lims,
              ylim = axis_lims) +
  labs(title = "Selected models") +
  facet_wrap(~data_source)

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

7.6.2 Pooled

In the following, we present residual patterns vs latitude across all domains.

i_ylim <- c(-30,30)

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "white") +
  scale_fill_viridis_c() +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

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

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

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "white") +
  scale_fill_viridis_c() +
  coord_cartesian(ylim = i_ylim) +
  labs(
    title = paste(
      "Target variable:",
      params_local$MLR_target,
      "| Selected models",
      "| All domains"
    )
  ) +
  facet_wrap(~data_source)

Version Author Date
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

7.6.3 By model domain

In the following, we present residual patterns vs latitude for separate model domains, ie basins, density slabs and eras.

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

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

[[2]]

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

[[3]]

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

[[4]]

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

7.6.4 Latitudinal mean

GLODAP_augmented_best <- GLODAP_augmented_best %>%
  mutate(lat_grid = as.numeric(as.character(cut(
    lat,
    seq(-90, 90, 10),
    seq(-85, 85, 10)
  ))))

lat_residual <- GLODAP_augmented_best %>%
  group_by(data_source, basin, gamma_slab, era, lat_grid) %>% 
  summarise(.resid_mean = mean(.resid)) %>% 
  ungroup()

lat_residual %>%
  group_split(basin) %>% 
  map(
  ~ggplot(data = .x,
          aes(lat_grid, .resid_mean, col=era)) +
  geom_line() +
  geom_point() +
  geom_hline(yintercept = 0, col = "black") +
  facet_grid(gamma_slab ~ data_source) +
    labs(title = paste("Basin:", unique(.x$basin)))
  )
[[1]]

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

[[2]]

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

7.6.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(data_source, basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, lat_grid) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> "),
         .resid_mean_offset = .resid_mean - lag(.resid_mean)
         ) %>% 
  ungroup() %>% 
  select(-era) %>% 
  drop_na() %>% 
  filter(eras != paste(unique(lat_residual$era)[1],
                       unique(lat_residual$era)[3],
                       sep = " --> "))

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

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

8 VIF

GLODAP_glanced %>% 
  ggplot(aes(as.factor(n),
             log10(vif_max),
             col=data_source)) + 
  geom_hline(yintercept = log10(params_local$vif_max)) +
  scale_color_brewer(palette = "Set1") +
  geom_violin() +
  facet_grid(gamma_slab~basin)

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

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

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         utf8_1.1.4               R6_2.5.0                
[10] nortest_1.0-4            DBI_1.1.0                colorspace_1.4-1        
[13] withr_2.3.0              gridExtra_2.3            tidyselect_1.1.0        
[16] curl_4.3                 compiler_4.0.3           git2r_0.27.1            
[19] cli_2.1.0                rvest_0.3.6              xml2_1.3.2              
[22] sass_0.2.0               labeling_0.4.2           scales_1.1.1            
[25] checkmate_2.0.0          goftest_1.2-2            digest_0.6.27           
[28] foreign_0.8-80           rmarkdown_2.5            rio_0.5.16              
[31] pkgconfig_2.0.3          htmltools_0.5.0          highr_0.8               
[34] dbplyr_1.4.4             rlang_0.4.10             readxl_1.3.1            
[37] rstudioapi_0.13          farver_2.0.3             generics_0.0.2          
[40] jsonlite_1.7.1           zip_2.1.1                car_3.0-10              
[43] magrittr_1.5             Matrix_1.2-18            Rcpp_1.0.5              
[46] munsell_0.5.0            fansi_0.4.1              abind_1.4-5             
[49] lifecycle_1.0.0          stringi_1.5.3            whisker_0.4             
[52] yaml_2.2.1               carData_3.0-4            plyr_1.8.6              
[55] grid_4.0.3               blob_1.2.1               parallel_4.0.3          
[58] promises_1.1.1           crayon_1.3.4             lattice_0.20-41         
[61] haven_2.3.1              hms_0.5.3                pillar_1.4.7            
[64] reprex_0.3.0             glue_1.4.2               evaluate_0.14           
[67] RcppArmadillo_0.10.1.2.0 data.table_1.13.2        modelr_0.1.8            
[70] vctrs_0.3.5              httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             reshape_0.8.8            assertthat_0.2.1        
[76] xfun_0.18                openxlsx_4.2.3           RcppEigen_0.3.3.7.0     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_0.1