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1 Version ID

The results displayed on this site correspond to the Version_ID: v_XXX

2 Required data

Required are:

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

3 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

4 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

5 Fit all models

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

  • cstar_tref

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

library(furrr)
library(purrr)

map(c("hello", "world"), ~.x)
future_map(c("hello", "world"), ~.x)



library(tictoc)
plan(sequential)

tic()
nothingness <- future_map(c(2, 2, 2), ~Sys.sleep(.x))
toc()

plan(multisession, workers = 3)

tic()
nothingness <- future_map(c(2, 2, 2), ~Sys.sleep(.x))
toc()


future_map_dbl(1:4, function(x){
  Sys.sleep(1)
  x^2
}, .progress = TRUE)
# prepare nested data frame

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

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

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all#[1:3,]
)

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


# test parallel processing

# expand with model definitions


# test multidplyr
 
# library(parallel)
# library(multidplyr)
# 
# n_cores <- detectCores()
# system.time(
# cluster <- new_cluster(n_cores - 2)
# )
# 
# cluster
# 
# system.time(
#   GLODAP_nested_lm_part <-
#     GLODAP_nested_lm %>%
#     #group_by(gamma_slab, era, basin, data_source, model, predictors, n) %>% 
#     partition(cluster)
# )
# 
# 
# GLODAP_nested_lm
# GLODAP_nested_lm_part
# 
# system.time(cluster %>%
#               cluster_library(c("tidyverse",
#                                 "broom",
#                                 "olsrr",
#                                 "purrr")))
# 
# cluster_call(cluster, search())
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm_part %>%
#   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(
#   # 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)
# )
# 
# 
# system.time(
# GLODAP_nested_lm_fit <- GLODAP_nested_lm_fit %>%
#   collect()
# )


### test furrr

# library(furrr)
# 
# plan(multisession, workers = 10)
# 
# tic()
# GLODAP_nested_lm_fit_furrr <- 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)
#   )
# toc()
# 
# plan(sequential)

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

6 Tidy models

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

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

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

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

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

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

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

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


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

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

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

7 Prepare coeffcients

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

7.1 VIF threshold

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

  • 1000

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

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

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

7.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

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

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

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse eras rmse_sum aic_sum bic_sum
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 134.20222 147.72500 0.7862462 2000-2009 –> 2010-2019 5.162086 871.9615 905.2824
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 949.55407 970.24486 6.5225536 2000-2009 –> 2010-2019 14.393513 1416.2295 1452.1410
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 112.33837 125.86115 0.6345515 2000-2009 –> 2010-2019 4.917915 844.7576 878.0786
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 938.02658 958.71737 6.2631058 2000-2009 –> 2010-2019 14.867857 1416.2895 1452.2010
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + phosphate + phosphate_star 136.58932 148.18027 0.8208010 2000-2009 –> 2010-2019 5.223261 873.8648 902.4256
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 79.93748 93.46026 0.4618604 2000-2009 –> 2010-2019 4.700649 809.7415 843.0625
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 953.24023 970.97519 6.6544622 2000-2009 –> 2010-2019 14.562664 1418.5293 1449.3106
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 950.16567 970.85646 6.5366151 2000-2009 –> 2010-2019 14.437280 1417.3308 1453.2423
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 950.22295 970.91374 6.5379337 2000-2009 –> 2010-2019 14.437606 1417.3717 1453.2832
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 81.32743 94.85021 0.4681972 2000-2009 –> 2010-2019 5.289528 843.3246 876.6455
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 940.63643 961.32722 6.3209265 2000-2009 –> 2010-2019 14.145662 1406.5461 1442.4576
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 111.71440 125.23718 0.6306816 2000-2009 –> 2010-2019 4.727894 833.0257 866.3467
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 939.26983 959.96062 6.2905835 2000-2009 –> 2010-2019 14.964265 1418.5700 1454.4815
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 134.12183 147.64461 0.7856267 2000-2009 –> 2010-2019 5.109917 868.9185 902.2395
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 950.47513 971.16592 6.5437416 2000-2009 –> 2010-2019 14.464332 1417.9677 1453.8792
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 111.62890 125.15168 0.6301531 2000-2009 –> 2010-2019 5.299065 865.5950 898.9160
mod Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 173.84187 187.36465 1.1596737 2000-2009 –> 2010-2019 5.207477 892.1201 925.4410
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 956.68052 977.37131 6.6882956 2000-2009 –> 2010-2019 14.945348 1429.5813 1465.4928
mod Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate 175.95081 187.54176 1.2073433 2000-2009 –> 2010-2019 5.313383 895.8002 924.3610
obs Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 953.92448 974.61527 6.6237038 2000-2009 –> 2010-2019 14.851347 1426.3614 1462.2729
obs Atlantic (26,26.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 4296.23330 4323.28591 5.8913530 2000-2009 –> 2010-2019 11.616291 8187.0156 8240.5784
obs Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4298.23270 4329.79409 5.8913504 2000-2009 –> 2010-2019 11.582341 8183.7235 8246.2135
mod Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 2253.96900 2281.99621 3.8437763 2000-2009 –> 2010-2019 7.703507 3835.5264 3889.0718
obs Atlantic (26,26.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 4193.45466 4225.01605 5.4488752 2000-2009 –> 2010-2019 11.169105 8085.2283 8147.7183
mod Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2215.59041 2243.61762 3.6659016 2000-2009 –> 2010-2019 7.863239 3844.6086 3898.1539
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2257.41518 2285.44239 3.8601646 2000-2009 –> 2010-2019 8.021815 3881.6005 3935.1458
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 4210.96892 4242.53030 5.5204538 2000-2009 –> 2010-2019 11.377774 8131.7783 8194.2682
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2257.77083 2285.79804 3.8618599 2000-2009 –> 2010-2019 8.069359 3888.1576 3941.7029
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4212.83420 4244.39559 5.5281322 2000-2009 –> 2010-2019 11.472910 8151.8140 8214.3040
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 2284.47837 2312.50558 3.9913167 2000-2009 –> 2010-2019 8.498264 3953.7785 4007.3238
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2219.28660 2247.31381 3.6826681 2000-2009 –> 2010-2019 8.276440 3899.3869 3952.9322
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2220.06763 2248.09484 3.6862208 2000-2009 –> 2010-2019 8.370732 3911.2389 3964.7842
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2258.79068 2286.81789 3.8667254 2000-2009 –> 2010-2019 8.135844 3897.4065 3950.9518
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 4223.25793 4254.81931 5.5712380 2000-2009 –> 2010-2019 11.608542 8181.1725 8243.6625
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2208.92537 2236.95258 3.6358608 2000-2009 –> 2010-2019 8.467379 3917.5856 3971.1309
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2220.45973 2248.48694 3.6880056 2000-2009 –> 2010-2019 8.395793 3914.4364 3967.9817
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 4296.28730 4323.33991 5.8915901 2000-2009 –> 2010-2019 11.750187 8215.3637 8268.9265
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4298.28303 4329.84441 5.8915713 2000-2009 –> 2010-2019 11.651776 8198.5945 8261.0845
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4299.25056 4330.81194 5.8958204 2000-2009 –> 2010-2019 11.713850 8211.8083 8274.2982
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4300.92771 4332.48909 5.9031933 2000-2009 –> 2010-2019 11.783572 8226.5540 8289.0439
mod Atlantic (26.5,26.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 3038.25057 3068.09435 4.3115614 2000-2009 –> 2010-2019 7.701674 5380.5557 5439.0228
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5252.77984 5286.01295 5.2355023 2000-2009 –> 2010-2019 10.946422 9319.5904 9384.0647
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5250.78316 5284.01627 5.2293711 2000-2009 –> 2010-2019 10.956878 9321.3117 9385.7860
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3002.58272 3032.42651 4.1675600 2000-2009 –> 2010-2019 7.531867 5338.1482 5396.6153
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3009.78329 3039.62708 4.1962380 2000-2009 –> 2010-2019 7.525742 5336.1773 5394.6444
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5321.86430 5355.09741 5.4521243 2000-2009 –> 2010-2019 11.174421 9391.2261 9455.7005
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 5247.85818 5281.09129 5.2204024 2000-2009 –> 2010-2019 10.950748 9319.0220 9383.4963
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3010.94916 3040.79295 4.2008999 2000-2009 –> 2010-2019 7.529568 5337.1217 5395.5888
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 5294.03024 5322.51576 5.3700889 2000-2009 –> 2010-2019 11.087459 9360.2879 9415.5516
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 5290.55753 5319.04305 5.3591560 2000-2009 –> 2010-2019 11.099072 9361.8607 9417.1244
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2965.97387 2995.81766 4.0247595 2000-2009 –> 2010-2019 7.541840 5340.7083 5399.1754
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5294.82128 5328.05438 5.3662803 2000-2009 –> 2010-2019 11.083534 9363.0528 9427.5271
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2970.91318 3000.75696 4.0437370 2000-2009 –> 2010-2019 7.502789 5330.9743 5389.4414
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5291.44554 5324.67865 5.3556599 2000-2009 –> 2010-2019 11.087443 9362.9310 9427.4053
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3005.23042 3030.81081 4.1860481 2000-2009 –> 2010-2019 7.711299 5380.0115 5430.1261
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3011.87705 3037.45744 4.2126303 2000-2009 –> 2010-2019 7.691361 5374.9416 5425.0562
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5288.56734 5317.05286 5.3529004 2000-2009 –> 2010-2019 11.093591 9360.0436 9415.3073
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2975.46686 3005.31065 4.0613121 2000-2009 –> 2010-2019 7.501355 5330.6676 5389.1347
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5289.42948 5322.66258 5.3493271 2000-2009 –> 2010-2019 11.081773 9361.0631 9425.5374
mod Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3012.97406 3038.55445 4.2170338 2000-2009 –> 2010-2019 7.690516 5374.7068 5424.8215
mod Atlantic (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 4824.09638 4858.66437 2.4937683 2000-2009 –> 2010-2019 4.870951 8493.8638 8561.2241
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4921.86411 4956.43210 2.6148558 2000-2009 –> 2010-2019 5.070029 8643.2812 8710.6415
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 5091.57989 5121.20960 2.8419353 2000-2009 –> 2010-2019 5.297156 8811.0279 8868.7653
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5077.65680 5112.22479 2.8200740 2000-2009 –> 2010-2019 5.022910 8625.5515 8692.9118
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 6486.58522 6521.51057 4.7770330 2000-2009 –> 2010-2019 10.559174 11610.2625 11678.0238
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5098.51094 5133.07893 2.8487396 2000-2009 –> 2010-2019 5.074575 8663.0241 8730.3844
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6489.28922 6524.21457 4.7829892 2000-2009 –> 2010-2019 10.511165 11597.8697 11665.6309
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6493.72472 6528.65007 4.7927757 2000-2009 –> 2010-2019 10.512453 11599.9148 11667.6760
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5106.82668 5141.39467 2.8602514 2000-2009 –> 2010-2019 5.102983 8683.4401 8750.8003
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6490.21152 6525.13686 4.7850225 2000-2009 –> 2010-2019 10.510612 11598.0649 11665.8262
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4816.75301 4851.32100 2.4849030 2000-2009 –> 2010-2019 4.719260 8387.3801 8454.7403
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6489.52460 6524.44994 4.7835081 2000-2009 –> 2010-2019 10.627591 11630.3573 11698.1185
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4821.88491 4856.45290 2.4910951 2000-2009 –> 2010-2019 4.712965 8383.5455 8450.9057
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6496.53023 6531.45558 4.7989761 2000-2009 –> 2010-2019 10.568013 11616.5545 11684.3158
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 5245.98707 5275.61678 3.0629163 2000-2009 –> 2010-2019 5.367507 8864.1333 8921.8707
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 6494.78274 6524.71875 4.7995346 2000-2009 –> 2010-2019 10.624090 11628.2267 11686.3078
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4837.62839 4872.19638 2.5101876 2000-2009 –> 2010-2019 4.733701 8400.4714 8467.8317
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6497.15414 6532.07949 4.8003561 2000-2009 –> 2010-2019 10.578628 11619.7536 11687.5148
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6495.55866 6525.49467 4.8012510 2000-2009 –> 2010-2019 10.604401 11623.0752 11681.1563
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6495.83099 6525.76700 4.8018536 2000-2009 –> 2010-2019 10.624192 11628.6621 11686.7432
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 6105.90926 6142.50797 2.2066565 2000-2009 –> 2010-2019 4.697648 11361.3895 11433.1607
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6317.26583 6348.63616 2.3842718 2000-2009 –> 2010-2019 4.901175 11594.0093 11655.5276
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6312.22843 6348.82715 2.3781914 2000-2009 –> 2010-2019 4.737787 11445.8887 11517.6600
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12034.77723 12073.51309 6.0205163 2000-2009 –> 2010-2019 11.698318 21900.2564 21976.4639
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 6289.64614 6326.24486 2.3587844 2000-2009 –> 2010-2019 4.829715 11526.9494 11598.7207
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6311.42933 6348.02805 2.3775020 2000-2009 –> 2010-2019 4.768322 11474.6419 11546.4131
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6335.54920 6372.14792 2.3984006 2000-2009 –> 2010-2019 4.868428 11572.0301 11643.8013
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12106.60768 12145.34354 6.1372639 2000-2009 –> 2010-2019 11.744446 21933.0128 22009.2202
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12043.07140 12081.80726 6.0338828 2000-2009 –> 2010-2019 11.736927 21922.3998 21998.6073
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12128.73163 12167.46749 6.1736765 2000-2009 –> 2010-2019 11.831323 21983.1089 22059.3163
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6345.32602 6381.92474 2.4069240 2000-2009 –> 2010-2019 4.912319 11613.7674 11685.5386
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12108.43863 12147.17449 6.1402692 2000-2009 –> 2010-2019 11.756562 21939.9119 22016.1194
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 12055.60855 12088.81071 6.0573818 2000-2009 –> 2010-2019 11.784558 21946.1198 22011.4404
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 6431.21685 6467.81557 2.4831169 2000-2009 –> 2010-2019 4.897920 11616.8676 11688.6389
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 12030.56051 12069.29636 6.0137322 2000-2009 –> 2010-2019 11.794596 21952.2015 22028.4089
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6424.61614 6461.21486 2.4771769 2000-2009 –> 2010-2019 4.891989 11610.2753 11682.0466
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 11984.03827 12022.77413 5.9393901 2000-2009 –> 2010-2019 11.602539 21841.4501 21917.6575
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 12065.67258 12098.87474 6.0737036 2000-2009 –> 2010-2019 11.829825 21971.9222 22037.2429
mod Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6285.93585 6322.53456 2.3556110 2000-2009 –> 2010-2019 4.817361 11514.8712 11586.6425
obs Atlantic (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 11997.07133 12035.80719 5.9601237 2000-2009 –> 2010-2019 11.647431 21867.7729 21943.9803
obs Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 14552.63685 14592.81541 5.7223835 2000-2009 –> 2010-2019 10.364240 25715.2327 25794.2104
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 13120.67257 13155.29391 3.8488392 2000-2009 –> 2010-2019 7.172863 24745.0199 24813.8620
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12847.75460 12888.14616 3.6318695 2000-2009 –> 2010-2019 6.867592 24354.7766 24435.0924
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 12878.15253 12918.54410 3.6552457 2000-2009 –> 2010-2019 6.972030 24494.8369 24575.1527
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14534.17708 14574.35564 5.6994457 2000-2009 –> 2010-2019 10.271180 25639.3260 25718.3038
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13121.01844 13161.41000 3.8474957 2000-2009 –> 2010-2019 7.015238 24533.9354 24614.2512
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14531.58953 14571.76809 5.6962378 2000-2009 –> 2010-2019 10.238143 25612.0334 25691.0111
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 13080.18495 13120.57651 3.8144793 2000-2009 –> 2010-2019 6.966844 24471.5334 24551.8492
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 14605.92641 14640.36518 5.7916391 2000-2009 –> 2010-2019 10.347537 25695.9791 25763.6743
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 14602.99887 14643.17743 5.7854330 2000-2009 –> 2010-2019 10.363923 25713.7207 25792.6984
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12716.94130 12757.33286 3.5329674 2000-2009 –> 2010-2019 7.094449 24649.0998 24729.4156
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14605.69006 14645.86862 5.7888216 2000-2009 –> 2010-2019 10.343389 25696.6405 25775.6182
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 13125.84638 13166.23794 3.8514182 2000-2009 –> 2010-2019 6.960506 24455.9300 24536.2458
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14528.85044 14569.02900 5.6928440 2000-2009 –> 2010-2019 10.241098 25614.5657 25693.5435
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12708.29200 12748.68356 3.5265238 2000-2009 –> 2010-2019 7.017451 24551.7691 24632.0848
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 14602.75140 14637.19017 5.7876395 2000-2009 –> 2010-2019 10.348312 25696.7574 25764.4526
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12720.21087 12760.60243 3.5354063 2000-2009 –> 2010-2019 7.093876 24648.6198 24728.9356
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14602.62261 14642.80117 5.7849594 2000-2009 –> 2010-2019 10.343504 25696.8678 25775.8455
mod Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 13156.92358 13197.31514 3.8767633 2000-2009 –> 2010-2019 6.946974 24431.2388 24511.5546
obs Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14539.47159 14579.65015 5.7060152 2000-2009 –> 2010-2019 10.365446 25716.3287 25795.3065
obs Atlantic (27.5,27.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 15647.66583 15688.57552 5.1824840 2000-2009 –> 2010-2019 10.114806 29215.9745 29296.9087
obs Atlantic (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 15655.93335 15690.99879 5.1929240 2000-2009 –> 2010-2019 10.125829 29222.7732 29292.1454
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + phosphate 20500.93928 20539.49632 2.2823258 2000-2009 –> 2010-2019 4.662304 39226.3807 39302.8400
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19960.65644 20005.63966 2.1507128 2000-2009 –> 2010-2019 4.502694 38591.2316 38680.4340
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 20637.00769 20675.56473 2.3165950 2000-2009 –> 2010-2019 4.689360 39337.6017 39414.0610
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 20619.07304 20664.05625 2.3115425 2000-2009 –> 2010-2019 4.681350 39311.4579 39400.6604
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 15657.71632 15698.62600 5.1927031 2000-2009 –> 2010-2019 10.064412 29170.4317 29251.3659
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20387.05497 20432.03818 2.2535400 2000-2009 –> 2010-2019 4.630478 39104.0314 39193.2338
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 20638.27496 20683.25818 2.3164091 2000-2009 –> 2010-2019 4.680682 39311.5172 39400.7196
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 15661.61037 15702.52006 5.1966679 2000-2009 –> 2010-2019 10.077818 29183.0305 29263.9648
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20472.49033 20517.47355 2.2747268 2000-2009 –> 2010-2019 4.617056 39069.4007 39158.6032
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15687.08526 15727.99495 5.2226804 2000-2009 –> 2010-2019 10.134993 29237.1176 29318.0519
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20703.62044 20748.60365 2.3330477 2000-2009 –> 2010-2019 4.708044 39413.9073 39503.1097
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20572.12685 20617.11006 2.2996871 2000-2009 –> 2010-2019 4.647230 39187.2384 39276.4409
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20475.55672 20520.53993 2.2754909 2000-2009 –> 2010-2019 4.617560 39071.5574 39160.7599
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15669.45002 15710.35970 5.2046592 2000-2009 –> 2010-2019 10.100210 29204.1146 29285.0488
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 15652.25344 15693.16312 5.1871461 2000-2009 –> 2010-2019 10.137678 29237.1307 29318.0649
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 15659.96909 15695.03454 5.1970333 2000-2009 –> 2010-2019 10.147768 29243.0309 29312.4032
obs Atlantic (27.5,27.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 15660.78811 15701.69779 5.1958305 2000-2009 –> 2010-2019 10.171946 29268.8403 29349.7746
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 15668.31808 15703.38352 5.2055448 2000-2009 –> 2010-2019 10.181664 29274.3731 29343.7454
obs Atlantic (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 10172.21322 10210.00901 5.4062121 2000-2009 –> 2010-2019 10.256868 19534.1409 19609.3993
obs Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 10170.27487 10202.67126 5.4063141 2000-2009 –> 2010-2019 10.276006 19542.4149 19606.9221
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 5735.91241 5768.43948 1.3414916 2000-2009 –> 2010-2019 2.563353 10910.2863 10975.0574
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 10158.19945 10195.99524 5.3830931 2000-2009 –> 2010-2019 10.257136 19535.1238 19610.3822
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 5493.39375 5525.92081 1.2475919 2000-2009 –> 2010-2019 2.417967 10530.5202 10595.2913
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 10156.20056 10188.59695 5.3830949 2000-2009 –> 2010-2019 10.279216 19545.2173 19609.7245
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6160.53607 6193.06313 1.5232388 2000-2009 –> 2010-2019 2.914911 11749.7653 11814.5363
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6151.28011 6183.80717 1.5190259 2000-2009 –> 2010-2019 2.913690 11747.3550 11812.1261
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 5695.77129 5733.71953 1.3246822 2000-2009 –> 2010-2019 2.546528 10872.1032 10947.6694
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 5382.18069 5420.12893 1.2060365 2000-2009 –> 2010-2019 2.362247 10382.4887 10458.0549
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 10157.88372 10195.67951 5.3825734 2000-2009 –> 2010-2019 10.261659 19538.0328 19613.2912
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5522.74390 5560.69214 1.2578438 2000-2009 –> 2010-2019 2.454187 10631.8315 10707.3977
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5527.90506 5565.85331 1.2597878 2000-2009 –> 2010-2019 2.455968 10636.5584 10712.1246
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5516.36602 5554.31427 1.2554456 2000-2009 –> 2010-2019 2.449346 10618.9382 10694.5044
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10159.45477 10197.25056 5.3851600 2000-2009 –> 2010-2019 10.274591 19546.2078 19621.4662
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 5606.46288 5638.98995 1.2905235 2000-2009 –> 2010-2019 2.539480 10850.7592 10915.5303
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10171.87211 10209.66790 5.4056482 2000-2009 –> 2010-2019 10.264447 19539.0298 19614.2882
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 10169.93622 10202.33261 5.4057542 2000-2009 –> 2010-2019 10.284977 19548.1728 19612.6800
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 10172.04496 10209.84074 5.4059340 2000-2009 –> 2010-2019 10.273714 19544.9607 19620.2190
obs Atlantic (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10170.11273 10202.50912 5.4060460 2000-2009 –> 2010-2019 10.296233 19555.3481 19619.8553
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 6818.91312 6851.30951 1.9399967 2000-2009 –> 2010-2019 5.014975 15062.6741 15127.4079
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21442.22503 21485.27830 5.3289671 2000-2009 –> 2010-2019 10.385768 41329.6037 41415.3026
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 6819.61743 6857.41322 1.9392282 2000-2009 –> 2010-2019 5.011277 15062.2922 15137.8149
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 20798.33068 20841.38395 4.8561376 2000-2009 –> 2010-2019 9.631234 40310.9525 40396.6514
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 6527.47100 6559.86738 1.7745737 2000-2009 –> 2010-2019 4.703310 14613.4545 14678.1883
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 20802.49333 20839.39613 4.8604579 2000-2009 –> 2010-2019 9.636126 40313.8977 40387.3540
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 21214.28793 21257.34120 5.1565414 2000-2009 –> 2010-2019 10.101520 40955.4681 41041.1671
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 21254.76410 21291.66691 5.1882445 2000-2009 –> 2010-2019 10.141374 41004.7117 41078.1680
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 6627.95724 6665.75303 1.8288336 2000-2009 –> 2010-2019 4.883161 14851.8997 14927.4224
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 7012.95432 7045.35071 2.0585999 2000-2009 –> 2010-2019 4.993916 15106.2046 15170.9384
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 6155.36439 6193.16018 1.5827353 2000-2009 –> 2010-2019 4.457952 14183.6299 14259.1526
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 20646.00263 20689.05590 4.7505596 2000-2009 –> 2010-2019 9.493384 40114.2888 40199.9878
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6274.65937 6312.45515 1.6415423 2000-2009 –> 2010-2019 4.553951 14344.5407 14420.0634
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20624.38409 20667.43737 4.7357631 2000-2009 –> 2010-2019 9.477559 40091.2512 40176.9502
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 20651.09020 20694.14347 4.7540484 2000-2009 –> 2010-2019 9.548870 40190.6644 40276.3633
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6290.18979 6327.98558 1.6493571 2000-2009 –> 2010-2019 4.583338 14383.9675 14459.4903
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 20669.67952 20706.58233 4.7681939 2000-2009 –> 2010-2019 9.565542 40210.6968 40284.1531
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6263.02732 6300.82310 1.6357133 2000-2009 –> 2010-2019 4.541442 14325.4740 14400.9967
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20643.50134 20686.55461 4.7488453 2000-2009 –> 2010-2019 9.490825 40110.6216 40196.3206
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 6384.43929 6416.83567 1.6986259 2000-2009 –> 2010-2019 4.709395 14559.8717 14624.6055
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 21887.09216 21930.25170 5.4184030 2000-2009 –> 2010-2019 11.613169 43685.1699 43771.1652
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 21438.21855 21481.37809 5.0835224 2000-2009 –> 2010-2019 11.114933 43056.7652 43142.7605
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 21548.70387 21585.69775 5.1654464 2000-2009 –> 2010-2019 11.213498 43183.7603 43257.4705
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 21579.60858 21622.76812 5.1867103 2000-2009 –> 2010-2019 11.266128 43251.4161 43337.4114
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 21740.15249 21777.14637 5.3079271 2000-2009 –> 2010-2019 11.407545 43432.2445 43505.9548
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 10356.83278 10390.27705 3.4475705 2000-2009 –> 2010-2019 7.186221 20350.3526 20416.8463
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 10389.83436 10423.27863 3.4769128 2000-2009 –> 2010-2019 7.226551 20394.0543 20460.5480
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 10227.33171 10266.35003 3.3330893 2000-2009 –> 2010-2019 7.029136 20181.0649 20258.6409
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 21595.75859 21638.91813 5.1986292 2000-2009 –> 2010-2019 11.271486 43260.3113 43346.3066
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10241.52249 10280.54081 3.3452582 2000-2009 –> 2010-2019 7.042357 20196.2934 20273.8694
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21526.31819 21569.47772 5.1475747 2000-2009 –> 2010-2019 11.195361 43163.0804 43249.0757
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 10462.60036 10496.04463 3.5424956 2000-2009 –> 2010-2019 7.338564 20511.6895 20578.1832
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 21616.77545 21659.93498 5.2141810 2000-2009 –> 2010-2019 11.422635 43429.6811 43515.6764
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10225.70765 10264.72597 3.3316995 2000-2009 –> 2010-2019 7.008929 20160.8311 20238.4071
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 10384.50587 10417.95014 3.4721583 2000-2009 –> 2010-2019 7.220323 20387.2932 20453.7869
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate_star 10482.97293 10510.84316 3.5629073 2000-2009 –> 2010-2019 7.364604 20535.4641 20590.8755
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 21745.28658 21782.28047 5.3118017 2000-2009 –> 2010-2019 11.523695 43559.9124 43633.6227
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10241.40818 10280.42649 3.3451600 2000-2009 –> 2010-2019 7.042240 20196.1612 20273.7372
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21575.13213 21618.29166 5.1834114 2000-2009 –> 2010-2019 11.246927 43229.3432 43315.3385
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 10239.60326 10273.04753 3.3453276 2000-2009 –> 2010-2019 7.042592 20192.5376 20259.0313
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 15796.88267 15837.81154 5.2913102 2000-2009 –> 2010-2019 11.063624 30776.4334 30857.7242
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 15738.85469 15779.78356 5.2316329 2000-2009 –> 2010-2019 11.010497 30723.7556 30805.0464
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 15742.05204 15782.98090 5.2349035 2000-2009 –> 2010-2019 10.997027 30713.2664 30794.5573
obs Atlantic (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 15840.24274 15875.32462 5.3384333 2000-2009 –> 2010-2019 11.124496 30829.0175 30898.6953
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15863.85041 15904.77928 5.3610281 2000-2009 –> 2010-2019 11.113329 30827.0152 30908.3060
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 3780.36791 3810.48905 1.3032641 2000-2009 –> 2010-2019 2.351368 6727.1425 6786.7162
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 3823.92853 3854.04968 1.3288794 2000-2009 –> 2010-2019 2.400295 6814.7420 6874.3157
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 3781.21826 3816.35960 1.3025948 2000-2009 –> 2010-2019 2.350695 6729.9862 6799.4888
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3822.27552 3857.41686 1.3267121 2000-2009 –> 2010-2019 2.397774 6814.4295 6883.9321
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15777.17126 15818.10013 5.2709626 2000-2009 –> 2010-2019 10.977696 30702.8130 30784.1039
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15856.58649 15897.51535 5.3534216 2000-2009 –> 2010-2019 11.108887 30822.3460 30903.6368
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 3873.50123 3903.62238 1.3586431 2000-2009 –> 2010-2019 2.461551 6922.3131 6981.8868
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 15864.93078 15900.01267 5.3642569 2000-2009 –> 2010-2019 11.120156 30829.0454 30898.7232
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3846.62802 3881.76936 1.3412274 2000-2009 –> 2010-2019 2.432139 6875.5451 6945.0478
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15740.73727 15781.66614 5.2335584 2000-2009 –> 2010-2019 10.961735 30684.0740 30765.3648
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 3812.51594 3842.63709 1.3221201 2000-2009 –> 2010-2019 2.387711 6792.4175 6851.9912
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3812.49080 3847.63214 1.3209243 2000-2009 –> 2010-2019 2.386428 6794.2275 6863.7301
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15823.81429 15864.74315 5.3192382 2000-2009 –> 2010-2019 11.054002 30772.5733 30853.8641
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 3798.12867 3823.22962 1.3148224 2000-2009 –> 2010-2019 2.432836 6872.1732 6921.8179
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3800.01236 3830.13350 1.3147541 2000-2009 –> 2010-2019 2.430193 6871.4416 6931.0152
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17845.40954 17886.94612 5.9100517 2000-2009 –> 2010-2019 13.618707 33712.0827 33793.7734
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 4997.11746 5029.77241 1.0421229 2000-2009 –> 2010-2019 2.342256 10537.5786 10602.6629
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 5050.79557 5083.45052 1.0586376 2000-2009 –> 2010-2019 2.368199 10615.0133 10680.0976
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 4962.50423 5000.60167 1.0310065 2000-2009 –> 2010-2019 2.243272 10274.8835 10350.8152
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5026.85677 5064.95422 1.0506248 2000-2009 –> 2010-2019 2.278356 10380.9177 10456.8494
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17864.37955 17905.91612 5.9301779 2000-2009 –> 2010-2019 13.661007 33744.2076 33825.8984
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17827.81097 17869.34755 5.8914415 2000-2009 –> 2010-2019 13.598436 33693.4967 33775.1874
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + phosphate_star 5075.41294 5108.06789 1.0662988 2000-2009 –> 2010-2019 2.370591 10626.3758 10691.4601
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5076.67266 5114.77011 1.0660676 2000-2009 –> 2010-2019 2.354885 10590.3919 10666.3236
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17841.91454 17883.45112 5.9063511 2000-2009 –> 2010-2019 13.626772 33715.5728 33797.2635
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 5035.49473 5068.14969 1.0539037 2000-2009 –> 2010-2019 2.357472 10584.6319 10649.7161
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 17867.53795 17903.14073 5.9356626 2000-2009 –> 2010-2019 13.666024 33745.0889 33815.1095
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5005.51807 5043.61552 1.0440785 2000-2009 –> 2010-2019 2.260849 10330.0956 10406.0273
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17864.93038 17906.46696 5.9307634 2000-2009 –> 2010-2019 13.661123 33744.4807 33826.1714
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 17863.05946 17898.66224 5.9309006 2000-2009 –> 2010-2019 13.662634 33741.4236 33811.4442
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 17847.21050 17888.74708 5.9119595 2000-2009 –> 2010-2019 13.640990 33725.9733 33807.6640
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 5090.08995 5122.74491 1.0708927 2000-2009 –> 2010-2019 2.334200 10536.0741 10601.1584
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 17861.24465 17896.84743 5.9289719 2000-2009 –> 2010-2019 13.663597 33741.3210 33811.3416
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 17836.18184 17877.71842 5.9002862 2000-2009 –> 2010-2019 13.628642 33714.5446 33796.2354
mod Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5145.52480 5178.17976 1.0884233 2000-2009 –> 2010-2019 2.358084 10608.0031 10673.0874
mod Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 7637.07572 7679.27947 0.8377876 2000-2009 –> 2010-2019 1.845936 15653.9948 15737.7702
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 7673.18380 7709.35844 0.8430052 2000-2009 –> 2010-2019 1.839180 15621.0991 15692.9065
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6504.60340 6539.27919 5.3692114 2000-2009 –> 2010-2019 11.964491 12990.3665 13059.2481
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 7539.42479 7581.62854 0.8245645 2000-2009 –> 2010-2019 1.815658 15460.6597 15544.4350
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 6505.13165 6534.85376 5.3756980 2000-2009 –> 2010-2019 11.980877 12991.8316 13050.8729
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 6443.72937 6478.40516 5.2153717 2000-2009 –> 2010-2019 11.814302 12930.5761 12999.4577
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6386.82322 6421.49901 5.0755482 2000-2009 –> 2010-2019 11.600338 12851.5467 12920.4282
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 6506.27929 6540.95508 5.3735103 2000-2009 –> 2010-2019 11.975151 12993.9301 13062.8116
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 7996.47387 8032.64852 0.8885966 2000-2009 –> 2010-2019 1.912559 16098.6761 16170.4836
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7954.61828 7996.82203 0.8822703 2000-2009 –> 2010-2019 1.899333 16020.9043 16104.6797
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6407.61976 6442.29555 5.1262071 2000-2009 –> 2010-2019 11.720165 12892.9904 12961.8719
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6409.46023 6444.13602 5.1307146 2000-2009 –> 2010-2019 11.668505 12878.0813 12946.9628
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate 7647.61187 7683.78652 0.8395004 2000-2009 –> 2010-2019 1.834880 15591.0474 15662.8549
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 7683.45780 7719.63245 0.8444174 2000-2009 –> 2010-2019 1.844605 15653.9185 15725.7259
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 7561.98795 7598.16259 0.8278708 2000-2009 –> 2010-2019 1.827077 15526.9408 15598.7482
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6423.03434 6457.71013 5.1640820 2000-2009 –> 2010-2019 11.885506 12945.8936 13014.7751
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 6435.46334 6465.18544 5.1997886 2000-2009 –> 2010-2019 11.933230 12959.8200 13018.8613
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 7739.38416 7775.55880 0.8521465 2000-2009 –> 2010-2019 1.857989 15741.4581 15813.2656
obs Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 6436.97023 6471.64602 5.1985643 2000-2009 –> 2010-2019 11.949167 12968.3109 13037.1924
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7985.16950 8021.34414 0.8869616 2000-2009 –> 2010-2019 1.904543 16052.3194 16124.1268
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate 11202.18210 11241.78579 0.6774070 2000-2009 –> 2010-2019 1.351734 20315.2795 20393.2737
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 11117.76974 11163.97405 0.6720433 2000-2009 –> 2010-2019 1.346322 20232.2290 20323.2222
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 12721.07328 12761.62839 3.3236932 2000-2009 –> 2010-2019 6.462349 24892.6791 24973.6347
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 11123.12286 11162.72655 0.6724980 2000-2009 –> 2010-2019 1.347199 20241.1424 20319.1366
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 11125.46011 11165.06380 0.6726426 2000-2009 –> 2010-2019 1.332626 20047.6359 20125.6300
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 12715.02857 12755.58367 3.3195534 2000-2009 –> 2010-2019 6.458418 24886.9496 24967.9051
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 10529.02411 10575.22841 0.6366119 2000-2009 –> 2010-2019 1.278668 19208.6559 19299.6491
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + phosphate + phosphate_star 12724.93987 12759.70139 3.3277160 2000-2009 –> 2010-2019 6.466983 24895.4696 24964.8600
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 12714.80715 12749.56867 3.3207709 2000-2009 –> 2010-2019 6.459646 24884.7442 24954.1346
obs Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 12708.67382 12749.22893 3.3152067 2000-2009 –> 2010-2019 6.451440 24876.6169 24957.5724
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 11178.70793 11218.31162 0.6759457 2000-2009 –> 2010-2019 1.350929 20300.4430 20378.4372
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 11125.77972 11171.98402 0.6725387 2000-2009 –> 2010-2019 1.346856 20240.7495 20331.7427
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12714.85839 12755.41350 3.3194369 2000-2009 –> 2010-2019 6.461299 24891.3081 24972.2636
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 11120.49412 11166.69842 0.6722117 2000-2009 –> 2010-2019 1.346722 20238.0028 20328.9960
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 11049.40721 11095.61151 0.6678300 2000-2009 –> 2010-2019 1.323916 19920.9806 20011.9738
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 12699.16306 12739.71817 3.3087120 2000-2009 –> 2010-2019 6.447402 24870.8210 24951.7766
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12721.66882 12762.22393 3.3241014 2000-2009 –> 2010-2019 6.443396 24863.9195 24944.8751
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11172.73576 11218.94007 0.6754502 2000-2009 –> 2010-2019 1.353207 20332.8910 20423.8841
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 12736.76032 12777.31542 3.3344609 2000-2009 –> 2010-2019 6.454145 24879.6046 24960.5602
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12699.94943 12740.50454 3.3092486 2000-2009 –> 2010-2019 6.429014 24842.9174 24923.8729
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 25916.88454 25961.13789 5.6404593 2000-2009 –> 2010-2019 11.447739 43581.7783 43667.5355
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 34006.85478 34052.98137 5.7155326 2000-2009 –> 2010-2019 11.915892 57646.8426 57736.3712
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 26224.96528 26262.89672 5.8571357 2000-2009 –> 2010-2019 11.835048 44048.6989 44122.2051
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 26022.67837 26066.93173 5.7134692 2000-2009 –> 2010-2019 11.529869 43696.2877 43782.0450
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 34370.22654 34416.35314 5.9120315 2000-2009 –> 2010-2019 12.370456 58307.2419 58396.7705
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 34716.83875 34756.37583 6.1068956 2000-2009 –> 2010-2019 12.482821 58558.2101 58634.9489
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25933.27772 25977.53108 5.6517111 2000-2009 –> 2010-2019 11.353661 43496.5112 43582.2685
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 34350.91918 34397.04578 5.9014229 2000-2009 –> 2010-2019 12.132849 58027.3118 58116.8405
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26024.64929 26068.90264 5.7148383 2000-2009 –> 2010-2019 11.486021 43654.9127 43740.6700
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 34396.61072 34442.73731 5.9265595 2000-2009 –> 2010-2019 12.168076 58084.7890 58174.3176
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 26558.55360 26602.80695 6.0980588 2000-2009 –> 2010-2019 12.234839 44529.9617 44615.7190
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 34668.15115 34714.27775 6.0781686 2000-2009 –> 2010-2019 12.451974 58509.0998 58598.6284
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 26411.32298 26455.57633 5.9898854 2000-2009 –> 2010-2019 11.961719 44231.4057 44317.1629
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 34747.20076 34793.32736 6.1230289 2000-2009 –> 2010-2019 12.687927 58803.3214 58892.8500
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26605.51462 26649.76797 6.1329713 2000-2009 –> 2010-2019 12.270668 44577.7519 44663.5091
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 34843.22819 34889.35479 6.1779696 2000-2009 –> 2010-2019 12.780206 58940.6591 59030.1877
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26116.85585 26161.10920 5.7792572 2000-2009 –> 2010-2019 11.623127 43816.6344 43902.3917
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 34504.34727 34550.47386 5.9862541 2000-2009 –> 2010-2019 12.273130 58245.2690 58334.7976
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26662.28481 26706.53816 6.1754432 2000-2009 –> 2010-2019 12.350413 44668.1485 44753.9058
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 34879.66824 34925.79484 6.1989470 2000-2009 –> 2010-2019 12.816548 58994.0316 59083.5603
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 19996.19354 20039.26900 4.2860694 2000-2009 –> 2010-2019 8.508577 35525.1229 35609.5391
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20126.52546 20169.60092 4.3671800 2000-2009 –> 2010-2019 8.606570 35677.1051 35761.5212
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21480.67654 21523.97984 4.8067285 2000-2009 –> 2010-2019 9.502931 37930.5461 38015.3381
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 20266.83352 20309.90898 4.4562156 2000-2009 –> 2010-2019 8.779904 35924.2483 36008.6644
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21486.87708 21530.18038 4.8108802 2000-2009 –> 2010-2019 9.519278 37951.1194 38035.9114
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 21853.98656 21891.10367 5.0645928 2000-2009 –> 2010-2019 10.076047 38661.9297 38734.6086
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 19718.00610 19761.08156 4.1179466 2000-2009 –> 2010-2019 8.075561 34895.3964 34979.8126
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 21478.88285 21522.18615 4.8055282 2000-2009 –> 2010-2019 9.629820 38077.8864 38162.6785
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 19888.61995 19931.69541 4.2202583 2000-2009 –> 2010-2019 8.310671 35245.0924 35329.5085
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21530.30953 21573.61284 4.8400616 2000-2009 –> 2010-2019 9.701876 38172.2509 38257.0429
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 20310.43962 20353.51508 4.4842549 2000-2009 –> 2010-2019 8.839518 36007.3349 36091.7510
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21488.78980 21532.09310 4.8121616 2000-2009 –> 2010-2019 9.525317 37958.6289 38043.4210
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 21566.43694 21603.55406 4.8658246 2000-2009 –> 2010-2019 9.774790 38259.8663 38332.5452
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21394.95483 21438.25813 4.7496982 2000-2009 –> 2010-2019 9.613451 38039.1047 38123.8967
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 19922.75654 19965.83201 4.2410321 2000-2009 –> 2010-2019 8.363718 35321.8730 35406.2892
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21529.08798 21572.39128 4.8392385 2000-2009 –> 2010-2019 9.703005 38173.2537 38258.0457
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 21534.12823 21571.24535 4.8439845 2000-2009 –> 2010-2019 9.731131 38202.8706 38275.5495
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 20275.75259 20318.82806 4.4619364 2000-2009 –> 2010-2019 8.714830 35843.5883 35928.0044
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 20335.17939 20378.25485 4.5002412 2000-2009 –> 2010-2019 8.755236 35905.6952 35990.1113
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 20376.26777 20419.34324 4.5269177 2000-2009 –> 2010-2019 8.803809 35974.6343 36059.0504
obs Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 21591.70886 21628.45198 5.9239468 2000-2009 –> 2010-2019 11.463218 39674.6954 39747.2443
mod Indo-Pacific (26.5,26.75] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 18802.12231 18844.65574 4.4870361 2000-2009 –> 2010-2019 8.727326 32876.2518 32959.4264
mod Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 18932.08542 18968.54265 4.5800168 2000-2009 –> 2010-2019 9.059384 33273.5295 33344.8220
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 19012.97811 19055.51154 4.6365219 2000-2009 –> 2010-2019 8.983177 33208.7526 33291.9272
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21227.89045 21270.75743 5.6113511 2000-2009 –> 2010-2019 10.810363 38946.9643 39031.6047
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 19232.71489 19275.24832 4.7976055 2000-2009 –> 2010-2019 9.282749 33582.4868 33665.6614
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21261.98448 21304.85146 5.6397740 2000-2009 –> 2010-2019 10.892520 39040.4083 39125.0487
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 21574.49798 21611.24111 5.9088569 2000-2009 –> 2010-2019 11.476281 39686.7453 39759.2942
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18594.63728 18637.17071 4.3446455 2000-2009 –> 2010-2019 8.556959 32636.2641 32719.4387
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 21576.45819 21619.32517 5.9088221 2000-2009 –> 2010-2019 11.471309 39685.5850 39770.2254
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18776.71874 18819.25217 4.4693548 2000-2009 –> 2010-2019 8.817875 32974.5993 33057.7739
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 21612.11375 21654.98073 5.9401261 2000-2009 –> 2010-2019 11.532171 39751.8306 39836.4710
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21266.06419 21308.93117 5.6431847 2000-2009 –> 2010-2019 10.905378 39054.8596 39139.5000
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 21300.39151 21337.13463 5.6736463 2000-2009 –> 2010-2019 11.066085 39228.3111 39300.8600
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18926.70167 18969.23510 4.5747637 2000-2009 –> 2010-2019 9.046389 33261.6521 33344.8267
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21291.29464 21334.16162 5.6643238 2000-2009 –> 2010-2019 10.994090 39153.7380 39238.3784
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18788.67141 18831.20484 4.4776654 2000-2009 –> 2010-2019 8.837069 32998.8254 33082.0000
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 21604.69955 21647.56653 5.9336032 2000-2009 –> 2010-2019 11.522436 39741.0998 39825.7401
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 18924.90098 18961.35821 4.5749054 2000-2009 –> 2010-2019 9.062168 33274.9915 33346.2840
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18994.70948 19037.24291 4.6233757 2000-2009 –> 2010-2019 8.999929 33224.1419 33307.3165
mod Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 24189.98046 24228.12683 4.1241320 2000-2009 –> 2010-2019 8.041414 44371.7148 44447.0299
obs Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 31055.84395 31094.92787 5.4488893 2000-2009 –> 2010-2019 10.716158 58101.8779 58179.2817
mod Indo-Pacific (26.75,27] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 23835.14802 23879.65212 3.9550898 2000-2009 –> 2010-2019 7.847694 43973.1030 44060.9705
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31434.19299 31479.79091 5.6585490 2000-2009 –> 2010-2019 11.178048 58892.7249 58983.0293
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 23657.35289 23701.85699 3.8734671 2000-2009 –> 2010-2019 7.545741 43373.2182 43461.0858
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 31304.30877 31349.90669 5.5852958 2000-2009 –> 2010-2019 10.943140 58501.9708 58592.2751
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23894.31907 23938.82317 3.9826338 2000-2009 –> 2010-2019 7.729727 43756.2913 43844.1589
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 31532.66606 31578.26398 5.7147264 2000-2009 –> 2010-2019 11.152326 58860.0021 58950.3064
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23915.77008 23960.27418 3.9926666 2000-2009 –> 2010-2019 7.744459 43786.8221 43874.6896
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 24203.81812 24241.96449 4.1308308 2000-2009 –> 2010-2019 7.921758 44148.0396 44223.3547
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 24067.04542 24111.54952 4.0641399 2000-2009 –> 2010-2019 7.845335 43994.6468 44082.5144
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 31335.40719 31381.00511 5.6027481 2000-2009 –> 2010-2019 10.935309 58491.5580 58581.8623
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 31383.81124 31422.89517 5.6311506 2000-2009 –> 2010-2019 11.062016 58698.2722 58775.6759
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 23960.20005 24004.70415 4.0135271 2000-2009 –> 2010-2019 7.907420 44100.5531 44188.4207
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 31236.99377 31282.59168 5.5477047 2000-2009 –> 2010-2019 10.874994 58384.4644 58474.7688
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 24200.58951 24245.09361 4.1282984 2000-2009 –> 2010-2019 8.119414 44519.5895 44607.4571
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 31390.21496 31435.81288 5.6336390 2000-2009 –> 2010-2019 11.040265 58667.4182 58757.7225
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 24225.10043 24269.60453 4.1401837 2000-2009 –> 2010-2019 8.138333 44556.8556 44644.7232
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 31386.22095 31431.81886 5.6313821 2000-2009 –> 2010-2019 11.039481 58665.8158 58756.1201
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 31388.40121 31427.48514 5.6337442 2000-2009 –> 2010-2019 11.041940 58666.1519 58743.5556
mod Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 26048.92242 26088.36159 2.8375727 2000-2009 –> 2010-2019 5.926038 49968.5242 50046.6876
mod Indo-Pacific (27,27.25] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 25894.39216 25940.40453 2.7958844 2000-2009 –> 2010-2019 5.737501 49358.6556 49449.8463
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 37724.90174 37772.07064 4.9715772 2000-2009 –> 2010-2019 9.882117 72411.7963 72505.5748
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 37907.81958 37954.98848 5.0450054 2000-2009 –> 2010-2019 10.071545 72863.6351 72957.4136
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 37733.58556 37774.01605 4.9758365 2000-2009 –> 2010-2019 9.886379 72418.4850 72498.8666
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 37908.47307 37948.90356 5.0460785 2000-2009 –> 2010-2019 10.081812 72883.3362 72963.7178
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 37842.69786 37889.86677 5.0187403 2000-2009 –> 2010-2019 10.005537 72707.0828 72800.8613
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 37843.47943 37883.90992 5.0198593 2000-2009 –> 2010-2019 10.019166 72734.7214 72815.1030
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26193.53279 26239.54516 2.8760946 2000-2009 –> 2010-2019 5.939518 50038.7024 50129.8931
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26651.76611 26697.77847 3.0034481 2000-2009 –> 2010-2019 6.162511 50785.5479 50876.7386
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 37707.07400 37754.24290 4.9644781 2000-2009 –> 2010-2019 9.871768 72386.3412 72480.1197
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 37898.46737 37945.63628 5.0412250 2000-2009 –> 2010-2019 10.006312 72712.5991 72806.3777
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26686.46643 26732.47880 3.0133187 2000-2009 –> 2010-2019 6.180539 50844.4578 50935.6485
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 38033.70138 38080.87028 5.0961667 2000-2009 –> 2010-2019 10.078768 72888.3920 72982.1705
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 37845.31930 37892.48821 5.0197949 2000-2009 –> 2010-2019 9.974766 72635.9603 72729.7388
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 26432.87397 26472.31314 2.9424808 2000-2009 –> 2010-2019 6.076122 50488.8003 50566.9637
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 26844.31770 26883.75687 3.0592095 2000-2009 –> 2010-2019 6.274450 51141.5783 51219.7418
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 26386.28629 26432.29866 2.9289936 2000-2009 –> 2010-2019 5.973840 50174.3552 50265.5458
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 26834.13445 26880.14682 3.0556874 2000-2009 –> 2010-2019 6.213670 50964.7033 51055.8940
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26859.56487 26905.57724 3.0630438 2000-2009 –> 2010-2019 6.225570 51003.6330 51094.8236
obs Indo-Pacific (27.25,27.5] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 40201.32110 40242.38106 4.3998083 2000-2009 –> 2010-2019 8.908091 76136.3871 76217.7835
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 40180.31206 40228.21535 4.3925081 2000-2009 –> 2010-2019 8.850825 75980.4977 76075.4602
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 35252.17315 35299.90046 3.2837247 2000-2009 –> 2010-2019 6.338343 65323.0940 65417.6322
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 39613.94929 39661.85258 4.2165846 2000-2009 –> 2010-2019 8.617389 75254.6650 75349.6275
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 39620.71482 39661.77477 4.2192530 2000-2009 –> 2010-2019 8.627237 75279.4507 75360.8472
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 39848.59819 39896.50147 4.2885998 2000-2009 –> 2010-2019 8.784399 75751.6094 75846.5719
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 39848.53574 39889.59569 4.2891996 2000-2009 –> 2010-2019 8.819518 75843.4901 75924.8865
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 35225.95679 35273.68409 3.2773597 2000-2009 –> 2010-2019 6.447836 65738.1693 65832.7076
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 35524.69813 35572.42544 3.3506269 2000-2009 –> 2010-2019 6.588293 66285.4985 66380.0367
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 39615.35919 39663.26248 4.2170137 2000-2009 –> 2010-2019 8.571082 75124.9431 75219.9056
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 39836.91650 39884.81979 4.2849857 2000-2009 –> 2010-2019 8.688074 75484.0041 75578.9665
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 35549.01354 35596.74084 3.3566620 2000-2009 –> 2010-2019 6.600572 66332.6525 66427.1907
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34966.67949 35014.40680 3.2150711 2000-2009 –> 2010-2019 6.244016 64937.5512 65032.0895
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 39817.32346 39865.22675 4.2789308 2000-2009 –> 2010-2019 8.679901 75458.4999 75553.4624
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 39776.23486 39824.13814 4.2662609 2000-2009 –> 2010-2019 8.660508 75398.6349 75493.5974
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 35265.97160 35306.88071 3.2875664 2000-2009 –> 2010-2019 6.516536 65992.8898 66073.9226
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 34830.64951 34878.37681 3.1828662 2000-2009 –> 2010-2019 6.290934 65107.1977 65201.7359
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 35158.03857 35205.76587 3.2609274 2000-2009 –> 2010-2019 6.454666 65756.9087 65851.4469
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 35158.02124 35205.74854 3.2609232 2000-2009 –> 2010-2019 6.456129 65762.3349 65856.8731
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 35156.22156 35197.13068 3.2609715 2000-2009 –> 2010-2019 6.458149 65765.8477 65846.8805
obs Indo-Pacific (27.5,27.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 44847.11838 44889.01752 4.0329986 2000-2009 –> 2010-2019 7.884651 82828.4063 82911.3062
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 39658.06255 39706.59819 3.3037910 2000-2009 –> 2010-2019 6.255655 74666.3030 74762.8093
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 44563.86770 44612.75002 3.9614511 2000-2009 –> 2010-2019 7.926673 82945.8521 83042.5687
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 39907.53984 39956.07549 3.3585871 2000-2009 –> 2010-2019 6.311492 74920.7117 75017.2180
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 44577.67769 44619.57682 3.9653832 2000-2009 –> 2010-2019 7.954929 83041.5692 83124.4691
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 40308.56920 40350.17119 3.4490365 2000-2009 –> 2010-2019 6.532392 75924.5186 76007.2383
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 39846.13841 39894.67406 3.3450169 2000-2009 –> 2010-2019 6.293776 74839.6588 74936.1651
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 40296.74709 40338.34907 3.4463490 2000-2009 –> 2010-2019 6.540843 75963.1423 76045.8620
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 40230.56557 40279.10122 3.4308900 2000-2009 –> 2010-2019 6.477743 75681.9025 75778.4088
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 44314.63245 44363.51478 3.8999769 2000-2009 –> 2010-2019 7.643695 81907.9561 82004.6727
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 40307.72867 40356.26432 3.4483905 2000-2009 –> 2010-2019 6.508887 75821.5708 75918.0771
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 44425.31192 44474.19424 3.9271575 2000-2009 –> 2010-2019 7.699951 82124.7800 82221.4965
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 40378.26050 40426.79615 3.4644652 2000-2009 –> 2010-2019 6.504298 75797.3286 75893.8349
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 39774.64505 39823.18070 3.3292854 2000-2009 –> 2010-2019 6.327747 75002.0054 75098.5117
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 44411.13043 44460.01276 3.9236643 2000-2009 –> 2010-2019 7.686626 82074.7986 82171.5151
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 40277.90263 40326.43828 3.4416155 2000-2009 –> 2010-2019 6.494528 75757.0364 75853.5427
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 44409.97227 44458.85459 3.9233791 2000-2009 –> 2010-2019 7.694295 82102.6122 82199.3287
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 44713.87961 44755.77874 3.9994198 2000-2009 –> 2010-2019 7.791430 82481.0533 82563.9532
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 44951.61869 45000.50101 4.0590224 2000-2009 –> 2010-2019 7.946967 83063.5763 83160.2929
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 44949.97549 44991.87463 4.0591133 2000-2009 –> 2010-2019 7.959028 83102.1094 83185.0093
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 14349.67140 14385.68154 2.6694626 2000-2009 –> 2010-2019 5.043810 26844.1621 26915.6512
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14078.01871 14120.03054 2.5499010 2000-2009 –> 2010-2019 4.830117 26353.3971 26436.8011
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14114.22497 14156.23680 2.5654072 2000-2009 –> 2010-2019 4.854436 26410.6874 26494.0913
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 14321.94535 14363.95718 2.6562082 2000-2009 –> 2010-2019 5.024360 26804.1554 26887.5593
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate 14408.50991 14444.52005 2.6958932 2000-2009 –> 2010-2019 5.039220 26831.1184 26902.6074
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 14208.32407 14250.33590 2.6061497 2000-2009 –> 2010-2019 4.946916 26626.9557 26710.3596
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 24597.84655 24642.61647 3.8845814 2000-2009 –> 2010-2019 7.457663 43819.1916 43907.2179
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14246.55896 14288.57079 2.6228888 2000-2009 –> 2010-2019 4.972098 26684.8725 26768.2764
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 24576.23057 24621.00049 3.8751114 2000-2009 –> 2010-2019 7.449419 43800.0232 43888.0495
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14142.67028 14184.68211 2.5776557 2000-2009 –> 2010-2019 4.873408 26455.1652 26538.5691
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 24569.66468 24614.43460 3.8722394 2000-2009 –> 2010-2019 7.460670 43821.5911 43909.6174
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14263.32881 14305.34064 2.6302644 2000-2009 –> 2010-2019 4.982320 26708.2600 26791.6639
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 24575.46492 24620.23485 3.8747764 2000-2009 –> 2010-2019 7.449431 43799.9514 43887.9777
mod Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14221.50443 14263.51626 2.6119079 2000-2009 –> 2010-2019 5.058018 26880.7543 26964.1582
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 24590.26224 24635.03216 3.8812561 2000-2009 –> 2010-2019 7.454084 43811.1023 43899.1286
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 24573.26622 24618.03614 3.8738145 2000-2009 –> 2010-2019 7.447521 43795.8589 43883.8852
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 24606.24846 24644.62268 3.8891468 2000-2009 –> 2010-2019 7.462295 43825.7273 43901.1784
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 24583.85950 24622.23372 3.8793270 2000-2009 –> 2010-2019 7.453709 43805.8012 43881.2523
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 24573.57537 24618.34530 3.8739497 2000-2009 –> 2010-2019 7.448046 43796.9476 43884.9739
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 24582.82085 24621.19507 3.8788720 2000-2009 –> 2010-2019 7.453610 43805.4729 43880.9240
obs Indo-Pacific (27.85,27.95] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 31344.06574 31390.96817 3.2861820 2000-2009 –> 2010-2019 6.225536 55315.5166 55407.7492
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 16365.53439 16402.85358 2.1873005 2000-2009 –> 2010-2019 4.328719 30510.9313 30584.7523
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 16336.31878 16379.85783 2.1781278 2000-2009 –> 2010-2019 4.233490 30217.8495 30303.9741
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 16039.23339 16076.55258 2.0932955 2000-2009 –> 2010-2019 4.074833 29681.6591 29755.4801
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate 15997.84045 16041.37950 2.0811025 2000-2009 –> 2010-2019 4.061113 29637.2694 29723.3939
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15985.40643 16028.94548 2.0776218 2000-2009 –> 2010-2019 4.058407 29627.3680 29713.4925
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 16035.57233 16079.11138 2.0917008 2000-2009 –> 2010-2019 4.050584 29605.4620 29691.5865
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 16522.58972 16566.12877 2.2334391 2000-2009 –> 2010-2019 4.333489 30543.5427 30629.6673
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 31315.29162 31362.19405 3.2783182 2000-2009 –> 2010-2019 6.221034 55297.7083 55389.9410
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16532.80778 16576.34684 2.2365135 2000-2009 –> 2010-2019 4.342189 30571.1002 30657.2247
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 31305.08392 31351.98635 3.2755330 2000-2009 –> 2010-2019 6.228452 55320.7063 55412.9390
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 16033.65387 16077.19293 2.0911606 2000-2009 –> 2010-2019 4.082256 29709.2706 29795.3951
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 16401.10155 16444.64061 2.1972073 2000-2009 –> 2010-2019 4.314554 30475.2233 30561.3478
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 31305.03196 31351.93439 3.2755189 2000-2009 –> 2010-2019 6.229905 55325.4215 55417.6542
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 31299.32306 31346.22549 3.2739622 2000-2009 –> 2010-2019 6.216813 55282.1784 55374.4111
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 31296.67308 31343.57551 3.2732399 2000-2009 –> 2010-2019 6.226438 55313.2019 55405.4346
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 31318.31001 31358.51209 3.2796883 2000-2009 –> 2010-2019 6.222793 55299.9928 55379.0494
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 31310.30447 31350.50655 3.2775029 2000-2009 –> 2010-2019 6.230740 55324.9617 55404.0182
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 31296.87702 31343.77946 3.2732955 2000-2009 –> 2010-2019 6.227783 55317.5941 55409.8267
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 31310.49522 31350.69731 3.2775550 2000-2009 –> 2010-2019 6.232172 55329.6347 55408.6913
obs Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 52928.89065 52972.18322 3.3651773 2000-2009 –> 2010-2019 6.587433 94473.9511 94559.1826
obs Indo-Pacific (27.95,28.05] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 52930.64464 52981.15263 3.3651362 2000-2009 –> 2010-2019 6.587019 94475.8487 94575.2854
obs Indo-Pacific (27.95,28.05] cstar_tref ~ aou + phosphate + phosphate_star 53067.81444 53103.89157 3.3888516 2000-2009 –> 2010-2019 6.619207 94651.1514 94722.1776
obs Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 53068.58039 53111.87295 3.3886435 2000-2009 –> 2010-2019 6.618903 94653.4382 94738.6696
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 52930.17379 52980.68178 3.3650573 2000-2009 –> 2010-2019 6.587303 94477.1855 94576.6222
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 53061.08780 53104.38037 3.3873807 2000-2009 –> 2010-2019 6.617245 94643.9837 94729.2151
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate 20538.75607 20577.99801 1.7982298 2000-2009 –> 2010-2019 3.519205 34444.4331 34520.7080
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate 53157.05491 53207.56290 3.4032522 2000-2009 –> 2010-2019 6.661144 94880.5582 94979.9949
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 20394.20955 20439.99182 1.7726634 2000-2009 –> 2010-2019 3.449780 34119.0635 34208.0509
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 20900.79911 20940.04105 1.8629835 2000-2009 –> 2010-2019 3.705350 35289.1849 35365.4599
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 20904.00763 20943.24957 1.8635676 2000-2009 –> 2010-2019 3.710426 35309.6383 35385.9132
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 20895.91126 20941.69353 1.8617300 2000-2009 –> 2010-2019 3.678606 35187.6255 35276.6129
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 53198.62015 53249.12814 3.4102964 2000-2009 –> 2010-2019 6.673713 94949.3051 95048.7418
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20900.24196 20946.02422 1.8625180 2000-2009 –> 2010-2019 3.685466 35215.5850 35304.5725
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21166.09770 21211.87997 1.9115359 2000-2009 –> 2010-2019 3.777907 35648.1613 35737.1487
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 20912.60978 20951.85173 1.8651347 2000-2009 –> 2010-2019 3.714152 35326.5154 35402.7903
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20908.49531 20954.27758 1.8640207 2000-2009 –> 2010-2019 3.688635 35230.3117 35319.2991
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 21241.69285 21280.93479 1.9260844 2000-2009 –> 2010-2019 3.809487 35786.0875 35862.3624
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate 53166.54469 53209.83725 3.4051979 2000-2009 –> 2010-2019 6.666337 94904.0296 94989.2611
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 53076.56149 53127.06948 3.3896519 2000-2009 –> 2010-2019 6.634048 94733.4734 94832.9101
obs Indo-Pacific (28.05,28.1] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 38106.86005 38148.48809 2.9506841 2000-2009 –> 2010-2019 5.699848 62882.9593 62963.8035
obs Indo-Pacific (28.05,28.1] cstar_tref ~ aou + phosphate + phosphate_star 38169.62813 38204.31817 2.9632575 2000-2009 –> 2010-2019 5.713450 62947.5390 63014.9091
obs Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 38159.00032 38200.62836 2.9608018 2000-2009 –> 2010-2019 5.709678 62934.0326 63014.8767
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 38132.40203 38180.96807 2.9552481 2000-2009 –> 2010-2019 5.718269 62961.7345 63056.0527
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 38193.12253 38234.75057 2.9674420 2000-2009 –> 2010-2019 5.736010 63040.8913 63121.7354
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 10696.33329 10738.16946 1.5147544 2000-2009 –> 2010-2019 3.163950 18790.2766 18871.6772
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 10889.91716 10931.75333 1.5659494 2000-2009 –> 2010-2019 3.144971 18800.7992 18882.1999
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 38112.49250 38161.05855 2.9513879 2000-2009 –> 2010-2019 5.680258 62815.0897 62909.4079
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10896.32316 10938.15933 1.5676728 2000-2009 –> 2010-2019 3.151600 18820.2639 18901.6646
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 38255.02076 38303.58681 2.9791341 2000-2009 –> 2010-2019 5.730020 63039.5001 63133.8182
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10851.29915 10893.13532 1.5556002 2000-2009 –> 2010-2019 3.139772 18775.8902 18857.2909
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 38241.43419 38290.00024 2.9764780 2000-2009 –> 2010-2019 5.722445 63007.6756 63101.9938
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10895.78077 10937.61694 1.5675268 2000-2009 –> 2010-2019 3.151541 18819.9527 18901.3533
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 38254.07631 38302.64235 2.9789494 2000-2009 –> 2010-2019 5.729351 63036.7612 63131.0794
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 10898.46850 10934.32808 1.5687890 2000-2009 –> 2010-2019 3.153008 18821.1860 18890.9580
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 38253.02104 38294.64908 2.9791341 2000-2009 –> 2010-2019 5.730192 63036.1380 63116.9821
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 11197.54847 11233.40804 1.6514555 2000-2009 –> 2010-2019 3.254151 19169.0804 19238.8524
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 11206.98935 11242.84893 1.6541347 2000-2009 –> 2010-2019 3.263183 19195.1762 19264.9482
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11191.61797 11227.47754 1.6497747 2000-2009 –> 2010-2019 3.258454 19178.8394 19248.6114
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 11205.35984 11241.21941 1.6536720 2000-2009 –> 2010-2019 3.262807 19193.7747 19263.5467
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 42216.46305 42265.96060 2.7359819 2000-2009 –> 2010-2019 5.273673 72054.4153 72151.2008
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 22244.89051 22292.19830 1.3881182 2000-2009 –> 2010-2019 2.858656 40892.8467 40985.9994
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 42128.70309 42178.20064 2.7222172 2000-2009 –> 2010-2019 5.257932 71956.7700 72053.5555
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + phosphate + phosphate_star 42251.00094 42293.42741 2.7417331 2000-2009 –> 2010-2019 5.281512 72097.3892 72180.3482
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 42159.43880 42201.86527 2.7273435 2000-2009 –> 2010-2019 5.264518 71992.8045 72075.7635
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 22323.56723 22370.87502 1.3967266 2000-2009 –> 2010-2019 2.883359 41083.9224 41177.0751
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 42248.93214 42298.42968 2.7410921 2000-2009 –> 2010-2019 5.312123 72252.5184 72349.3039
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 42319.74397 42362.17044 2.7525865 2000-2009 –> 2010-2019 5.327023 72338.1290 72421.0880
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 20935.19746 20982.50525 1.2523656 2000-2009 –> 2010-2019 2.778959 39969.4574 40062.6101
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 20689.80841 20737.11619 1.2284482 2000-2009 –> 2010-2019 2.619400 38763.2275 38856.3802
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 42143.75243 42193.24998 2.7245727 2000-2009 –> 2010-2019 5.241325 71876.5651 71973.3506
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20711.09898 20758.40677 1.2305051 2000-2009 –> 2010-2019 2.623586 38800.3093 38893.4620
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42240.32863 42289.82618 2.7397371 2000-2009 –> 2010-2019 5.276080 72071.5345 72168.3200
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 21590.85321 21638.16100 1.3185797 2000-2009 –> 2010-2019 2.789063 40238.4280 40331.5807
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20630.04556 20677.35335 1.2226928 2000-2009 –> 2010-2019 2.625018 38787.5510 38880.7037
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42344.71294 42394.21049 2.7562224 2000-2009 –> 2010-2019 5.308796 72256.8664 72353.6519
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate 21608.64452 21649.19405 1.3206320 2000-2009 –> 2010-2019 2.888885 40918.9156 40998.7608
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20706.87542 20754.18321 1.2300968 2000-2009 –> 2010-2019 2.622876 38793.8536 38887.0063
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42220.85972 42270.35727 2.7366733 2000-2009 –> 2010-2019 5.269110 72032.5086 72129.2941
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 20911.14865 20951.69819 1.2501976 2000-2009 –> 2010-2019 2.656585 39096.5254 39176.3706
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 13092.61063 13128.63682 2.1501383 2000-2009 –> 2010-2019 4.760201 21343.0864 21411.8547
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 12996.08445 13038.11501 2.1150496 2000-2009 –> 2010-2019 4.723130 21245.9283 21326.1581
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 13007.41222 13049.44278 2.1190545 2000-2009 –> 2010-2019 4.726617 21256.5680 21336.7978
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 36604.10001 36658.04252 0.7374611 2000-2009 –> 2010-2019 1.409121 60908.1860 61013.8162
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 39965.31885 40019.26136 0.8169546 2000-2009 –> 2010-2019 1.597924 67856.8486 67962.4788
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + phosphate + phosphate_star 13133.39411 13169.42031 2.1648326 2000-2009 –> 2010-2019 4.774031 21382.7222 21451.4906
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 13121.79882 13163.82937 2.1599231 2000-2009 –> 2010-2019 4.768986 21372.9474 21453.1772
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate 37113.25094 37159.48737 0.7490316 2000-2009 –> 2010-2019 1.504605 64216.2672 64306.8074
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 36884.88903 36938.83154 0.7437948 2000-2009 –> 2010-2019 1.420664 61372.7943 61478.4245
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 12990.72994 13032.76050 2.1131591 2000-2009 –> 2010-2019 4.771332 21306.4746 21386.7044
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13110.92787 13152.95843 2.1560054 2000-2009 –> 2010-2019 4.764238 21360.9742 21441.2039
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 40234.45518 40288.39769 0.8236786 2000-2009 –> 2010-2019 1.665058 69898.6640 70004.2942
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 40252.99487 40306.93738 0.8241438 2000-2009 –> 2010-2019 1.665868 69926.9444 70032.5747
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 37006.86710 37060.80961 0.7465631 2000-2009 –> 2010-2019 1.495064 63888.1258 63993.7560
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 40249.66482 40303.60733 0.8240602 2000-2009 –> 2010-2019 1.665741 69922.3959 70028.0261
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 13043.29191 13085.32247 2.1317898 2000-2009 –> 2010-2019 4.741777 21295.6677 21375.8974
mod Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 40737.92125 40791.86376 0.8364059 2000-2009 –> 2010-2019 1.674080 70297.1130 70402.7432
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13015.18977 13057.22033 2.1218086 2000-2009 –> 2010-2019 4.769773 21317.6055 21397.8353
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 13140.49796 13182.52852 2.1666786 2000-2009 –> 2010-2019 4.776228 21392.2924 21472.5222
mod Indo-Pacific (28.2,28.3] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 40744.35894 40798.30144 0.8365699 2000-2009 –> 2010-2019 1.675445 70337.6583 70443.2885
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 23710.98732 23752.23653 1.2691321 2000-2009 –> 2010-2019 2.197742 36768.2466 36848.4163
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 23709.13360 23757.25768 1.2687902 2000-2009 –> 2010-2019 2.195081 36744.1415 36837.6727
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 23545.23090 23593.35498 1.2543307 2000-2009 –> 2010-2019 2.182580 36600.7222 36694.2534
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4735.89637 4770.84747 2.1150067 2000-2009 –> 2010-2019 4.763250 8013.7232 8080.3495
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4732.66017 4767.61128 2.1118664 2000-2009 –> 2010-2019 4.746371 8003.3925 8070.0188
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate_star 4735.79524 4765.75333 2.1168514 2000-2009 –> 2010-2019 4.767409 8012.8139 8069.9222
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4752.69112 4787.64222 2.1313787 2000-2009 –> 2010-2019 4.764816 8022.8709 8089.4972
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4752.34091 4782.29900 2.1329938 2000-2009 –> 2010-2019 4.767903 8021.2828 8078.3910
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 23516.81343 23564.93750 1.2518405 2000-2009 –> 2010-2019 2.177345 36543.5772 36637.1084
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 23594.14541 23642.26949 1.2586286 2000-2009 –> 2010-2019 2.189083 36672.6560 36766.1872
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 4713.07591 4748.02702 2.0929619 2000-2009 –> 2010-2019 4.726490 7983.3024 8049.9287
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4707.02275 4741.97385 2.0871532 2000-2009 –> 2010-2019 4.736865 7985.6061 8052.2324
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 23518.08294 23566.20702 1.2519516 2000-2009 –> 2010-2019 2.178555 36556.3554 36649.8866
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4731.71919 4766.67030 2.1109542 2000-2009 –> 2010-2019 4.760955 8010.4511 8077.0774
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate 4729.83332 4759.79141 2.1110648 2000-2009 –> 2010-2019 4.761954 8007.0223 8064.1305
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4709.72119 4744.67229 2.0897407 2000-2009 –> 2010-2019 4.724104 7980.3801 8047.0064
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate 23685.72645 23726.97566 1.2668922 2000-2009 –> 2010-2019 2.192755 36714.2425 36794.4121
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 23685.14819 23733.27226 1.2666638 2000-2009 –> 2010-2019 2.189879 36687.8942 36781.4254
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 23690.14522 23731.39443 1.2672837 2000-2009 –> 2010-2019 2.194293 36730.6658 36810.8354
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 23689.42942 23737.55349 1.2670431 2000-2009 –> 2010-2019 2.191463 36704.8267 36798.3580
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 59.49593 63.96933 1.2286501 2000-2009 –> 2010-2019 2.873999 173.1743 186.4543
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 59.30114 63.77455 1.2201325 2000-2009 –> 2010-2019 2.872167 173.1903 186.4704
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 57.48219 61.95559 1.1433890 2000-2009 –> 2010-2019 2.550503 163.0271 176.3072
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 57.51401 61.98742 1.1446895 2000-2009 –> 2010-2019 2.531283 162.2950 175.5751
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 57.43569 61.90909 1.1414919 2000-2009 –> 2010-2019 2.596529 164.7221 178.0022
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 57.31795 61.79135 1.1367019 2000-2009 –> 2010-2019 2.652283 166.7243 180.0044
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + silicate + phosphate 55.61097 59.44531 1.1486600 2000-2009 –> 2010-2019 2.668207 163.1532 174.5361
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 57.43984 61.91324 1.1416612 2000-2009 –> 2010-2019 2.538619 162.6081 175.8881
obs Indo-Pacific (28.4, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 55.58749 59.42183 1.1476971 2000-2009 –> 2010-2019 2.686342 163.7792 175.1621
obs Indo-Pacific (28.4, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 63.85038 68.32378 1.4353835 2000-2009 –> 2010-2019 2.878122 170.6954 183.9755

7.3 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)

7.4 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)

7.5 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 = ""))

8 Model diagnotics

8.1 Selection criterion vs predictors

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

8.1.1 All models

GLODAP_glanced %>%
  group_split(era) %>%
  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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26

8.1.2 Best models

left_join(lm_best_target %>% select(basin, gamma_slab, era, model),
          GLODAP_glanced) %>%
  group_split(era) %>%
  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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
f3a708f jens-daniel-mueller 2020-12-17 

[[2]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

8.2 RMSE correlation between eras

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

8.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all_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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17
e4ca289 jens-daniel-mueller 2020-12-16
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
ba112d3 jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
7c25f7a jens-daniel-mueller 2020-12-02
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

8.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best_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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
a84ff3c jens-daniel-mueller 2020-12-17 
rm(max_rmse)

8.3 Predictor counts

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

# calculate cases of predictor used
lm_all_stats <- lm_best_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] 6 6 9 6 8 7 6
(26,26.5] 7 6 6 7 10 6 8
(26.5,26.75] 7 4 7 6 4 10 9
(26.75,27] 8 5 8 5 5 10 7
(27,27.25] 8 5 7 5 7 10 7
(27.25,27.5] 6 8 4 7 9 8 7
(27.5,27.75] 7 5 8 5 10 7 6
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 7 4 4 5 10 9 7
(27.95,28.05] 4 2 4 8 10 5 10
(28.05,28.1] 6 2 6 6 8 5 10
(28.1,28.15] 5 2 6 7 8 6 10
(28.15,28.2] 6 10 2 6 5 5 9
(28.2, Inf] 9 10 4 5 10 3 5
total 91.00 73.00 79.00 84.00 114.00 101.00 107.00
Indo-Pacific - mod
(-Inf,26] 8 5 7 7 10 5 7
(26,26.5] 7 6 7 7 7 7 9
(26.5,26.75] 7 5 6 7 7 8 8
(26.75,27] 6 10 6 8 5 5 8
(27,27.25] 8 10 7 7 3 4 8
(27.25,27.5] 6 10 6 6 5 6 9
(27.5,27.75] 5 5 6 7 10 10 5
(27.75,27.85] 8 6 6 4 9 5 10
(27.85,27.95] 8 8 4 5 10 5 8
(27.95,28.05] 6 3 4 6 10 6 10
(28.05,28.1] 5 3 4 7 6 10 10
(28.1,28.2] 4 5 6 5 10 10 8
(28.2,28.3] 5 7 8 5 8 10 6
(28.3,28.4] 7 10 9 7 4 3 7
total 90.00 93.00 86.00 88.00 104.00 94.00 113.00
Atlantic - obs
(-Inf,26] 8 8 6 6 8 5 8
(26,26.5] 8 10 8 7 4 4 7
(26.5,26.75] 7 9 6 7 4 4 10
(26.75,27] 5 5 5 8 4 10 10
(27,27.25] 5 8 5 9 5 6 10
(27.25,27.5] 6 5 7 8 9 4 9
(27.5,27.75] 7 3 9 7 4 10 7
(27.75,27.85] 7 4 10 5 4 10 6
(27.85,27.95] 5 4 7 6 10 10 5
(27.95,28.05] 5 4 7 6 10 10 5
(28.05,28.1] 4 7 5 9 10 7 6
(28.1,28.15] 3 6 5 10 7 6 10
(28.15,28.2] 6 5 4 9 7 7 10
(28.2, Inf] 8 4 9 6 10 6 5
total 84.00 82.00 93.00 103.00 96.00 99.00 108.00
Indo-Pacific - obs
(-Inf,26] 8 6 6 6 10 5 8
(26,26.5] 5 5 5 7 10 5 10
(26.5,26.75] 6 6 6 7 9 4 9
(26.75,27] 7 9 7 5 4 7 8
(27,27.25] 6 4 6 7 10 10 4
(27.25,27.5] 6 5 8 7 9 8 4
(27.5,27.75] 7 3 7 5 7 10 7
(27.75,27.85] 6 4 6 7 4 10 10
(27.85,27.95] 7 4 7 7 3 10 9
(27.95,28.05] 10 6 10 6 4 4 4
(28.05,28.1] 7 3 7 7 7 8 5
(28.1,28.2] 6 4 8 7 10 8 4
(28.2,28.3] 10 6 10 8 5 4 5
(28.3,28.4] 5 3 7 7 10 10 5
(28.4, Inf] 5 5 5 6 9 8 10
total 101.00 73.00 105.00 99.00 111.00 111.00 102.00

8.4 RMSE alternatives

8.4.1 AIC

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

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

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17 
lm_best_eras %>% 
  ggplot(aes(rmse, AIC, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(data_source~basin)

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
ac1a836 jens-daniel-mueller 2021-02-24
b03fbd3 jens-daniel-mueller 2021-02-24
3d3b4cc jens-daniel-mueller 2021-02-23
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
7131186 jens-daniel-mueller 2020-12-17
5b48ef5 jens-daniel-mueller 2020-12-17

8.4.2 AIC vs BIC

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

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

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.5 RMSE vs VIF

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

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20

8.6 Residual patterns

8.6.1 Fitted vs 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(!!sym(params_local$MLR_target), .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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
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(!!sym(params_local$MLR_target), .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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24 
rm(binwidth_value, axis_lims)

8.6.2 Pooled

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

i_ylim <- c(-30,30)

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

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

GLODAP_augmented_best %>%
  ggplot(aes(lat, .resid)) +
  geom_bin2d(binwidth = i_binwidth) +
  geom_hline(yintercept = 0, col = "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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
4bc00ea jens-daniel-mueller 2021-02-24

8.6.3 By model domain

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

GLODAP_augmented_best %>% 
  group_split(basin, 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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24
071743d jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
27ae473 jens-daniel-mueller 2021-02-24
a1ba577 jens-daniel-mueller 2021-02-24 

[[3]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26 

[[4]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26

8.6.4 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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24 

[[2]]

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26

8.6.5 Latitudinal offset

# calculate residual offset for adjacent eras
lat_residual_offset <- lat_residual  %>%
  select(data_source, basin, gamma_slab, era, lat_grid, .resid_mean) %>% 
  arrange(era) %>% 
  group_by(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
d37a85d jens-daniel-mueller 2021-05-31
4b7a5ee jens-daniel-mueller 2021-05-28
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
a00ec94 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
594d503 jens-daniel-mueller 2021-03-26
06bfaf7 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
f155edd jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
fec3558 jens-daniel-mueller 2021-02-24

9 VIF

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

Version Author Date
d37a85d jens-daniel-mueller 2021-05-31
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
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
d37a85d jens-daniel-mueller 2021-05-31
25bd183 jens-daniel-mueller 2021-05-26
62bd574 jens-daniel-mueller 2021-05-20
7c56c39 jens-daniel-mueller 2021-05-19
52e7583 jens-daniel-mueller 2021-05-12
969e631 jens-daniel-mueller 2021-05-12
d2a83bc jens-daniel-mueller 2021-04-16
c0a47df jens-daniel-mueller 2021-04-16
50290e8 jens-daniel-mueller 2021-04-16
b6fe355 jens-daniel-mueller 2021-04-16
81b7c6d jens-daniel-mueller 2021-04-16
ddec5b7 jens-daniel-mueller 2021-04-15
29edae5 jens-daniel-mueller 2021-04-14
099d566 jens-daniel-mueller 2021-04-14
bb44686 jens-daniel-mueller 2021-04-14
bf40480 jens-daniel-mueller 2021-04-13
9f31fe3 jens-daniel-mueller 2021-04-13
338dd3c jens-daniel-mueller 2021-04-09
a79ca2c jens-daniel-mueller 2021-04-09
d3c3fde jens-daniel-mueller 2021-03-26
594d503 jens-daniel-mueller 2021-03-26
2eb881a jens-daniel-mueller 2021-03-26
03b6009 jens-daniel-mueller 2021-03-23
de6256b jens-daniel-mueller 2021-03-23
380d215 jens-daniel-mueller 2021-03-21
33b385b jens-daniel-mueller 2021-03-20
108d6b2 jens-daniel-mueller 2021-03-20
330dcd0 jens-daniel-mueller 2021-03-20 

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

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

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

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

other attached packages:
 [1] tictoc_1.0.1     gt_0.2.2         corrr_0.4.3      broom_0.7.5     
 [5] kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3      GGally_2.0.0    
 [9] lubridate_1.7.9  metR_0.9.0       scico_1.2.0      patchwork_1.1.1 
[13] collapse_1.5.0   forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5     
[17] purrr_0.3.4      readr_1.4.0      tidyr_1.1.2      tibble_3.0.4    
[21] ggplot2_3.3.3    tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         utf8_1.1.4               R6_2.5.0                
[10] nortest_1.0-4            DBI_1.1.0                colorspace_1.4-1        
[13] withr_2.3.0              gridExtra_2.3            tidyselect_1.1.0        
[16] curl_4.3                 compiler_4.0.3           git2r_0.27.1            
[19] cli_2.1.0                rvest_0.3.6              xml2_1.3.2              
[22] sass_0.2.0               labeling_0.4.2           scales_1.1.1            
[25] checkmate_2.0.0          goftest_1.2-2            digest_0.6.27           
[28] foreign_0.8-80           rmarkdown_2.5            rio_0.5.16              
[31] pkgconfig_2.0.3          htmltools_0.5.0          highr_0.8               
[34] dbplyr_1.4.4             rlang_0.4.10             readxl_1.3.1            
[37] rstudioapi_0.11          farver_2.0.3             generics_0.0.2          
[40] jsonlite_1.7.1           zip_2.1.1                car_3.0-10              
[43] magrittr_1.5             Matrix_1.2-18            Rcpp_1.0.5              
[46] munsell_0.5.0            fansi_0.4.1              abind_1.4-5             
[49] lifecycle_1.0.0          stringi_1.5.3            whisker_0.4             
[52] yaml_2.2.1               carData_3.0-4            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