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1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

3 Apply predictor threshold

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

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

This results in a total number of MLR models of:

  • 112

4 Fit all models

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

  • cstar_tref

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

# prepare nested data frame

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

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

# expand with model definitions

GLODAP_nested_lm <- expand_grid(
  GLODAP_nested,
  lm_all
)

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


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



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

5 Tidy models

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

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

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

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

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

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

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

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


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

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

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

6 Prepare coeffcients

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

6.1 VIF threshold

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

  • 200

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

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

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

6.2 Predictor selection

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

  • 10

The criterion used to select the best models was:

  • rmse

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

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

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

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

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

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


# print table
lm_best_eras %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
data_source basin gamma_slab model AIC BIC rmse eras rmse_sum aic_sum bic_sum
obs Atlantic (-Inf,26] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 752.96541 771.99490 6.5535979 2000-2009 –> 2010-2019 14.769064 1126.5110 1159.0633
obs Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 757.79833 776.82782 6.6965315 2000-2009 –> 2010-2019 14.306949 1123.5409 1156.0932
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 81.00336 94.52613 0.4667120 2000-2009 –> 2010-2019 4.850949 755.5089 788.1851
mod Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 111.24637 124.76914 0.6277942 2000-2009 –> 2010-2019 4.612944 763.9914 796.6676
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 78.62159 92.14437 0.4559402 2000-2009 –> 2010-2019 4.328655 724.8415 757.5177
mod Atlantic (-Inf,26] cstar_tref ~ sal + nitrate + silicate + phosphate_star 85.37282 96.96377 0.4967854 2000-2009 –> 2010-2019 4.893767 758.5402 786.5483
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 759.50674 775.81773 6.8083182 2000-2009 –> 2010-2019 14.513589 1124.5127 1152.4147
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 758.13852 777.16801 6.7067095 2000-2009 –> 2010-2019 14.363720 1124.5037 1157.0559
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 758.16988 777.19937 6.7076484 2000-2009 –> 2010-2019 14.361015 1124.4865 1157.0387
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 79.71701 93.23979 0.4608631 2000-2009 –> 2010-2019 4.753343 749.4001 782.0763
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 750.48142 769.51091 6.4813248 2000-2009 –> 2010-2019 14.137126 1116.8304 1149.3827
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 110.59840 124.12118 0.6238188 2000-2009 –> 2010-2019 4.501024 757.0825 789.7587
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 110.72894 124.25172 0.6246176 2000-2009 –> 2010-2019 4.911298 780.1038 812.7800
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 132.93692 146.45970 0.7765530 2000-2009 –> 2010-2019 4.812693 788.5807 821.2569
obs Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 758.32879 777.35828 6.7124086 2000-2009 –> 2010-2019 14.394616 1125.0290 1157.5813
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 82.71450 96.23728 0.4746076 2000-2009 –> 2010-2019 4.782732 753.2271 785.9033
mod Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 110.51059 124.03336 0.6232819 2000-2009 –> 2010-2019 4.810675 774.5424 807.2186
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 751.64933 770.67882 6.5152060 2000-2009 –> 2010-2019 14.703926 1124.8623 1157.4146
obs Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 751.04835 770.07784 6.4977494 2000-2009 –> 2010-2019 14.680071 1124.1816 1156.7339
obs Atlantic (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 749.05763 768.08713 6.4402590 2000-2009 –> 2010-2019 14.595776 1121.8562 1154.4085
mod Atlantic (26,26.5] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 2098.59755 2126.14181 3.8131882 2000-2009 –> 2010-2019 8.283564 3459.9794 3511.6206
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate 3542.56619 3568.54452 5.6278847 2000-2009 –> 2010-2019 11.804495 6470.3035 6520.9373
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2064.26273 2091.80699 3.6438806 2000-2009 –> 2010-2019 7.931509 3406.3613 3458.0025
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 3532.21197 3562.52001 5.5662566 2000-2009 –> 2010-2019 11.190423 6377.6221 6436.6949
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2064.50514 2092.04940 3.6450492 2000-2009 –> 2010-2019 8.002456 3414.0620 3465.7031
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3533.75523 3564.06327 5.5739180 2000-2009 –> 2010-2019 11.285660 6393.0715 6452.1443
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 3544.29093 3574.59898 5.6265042 2000-2009 –> 2010-2019 11.711325 6460.5531 6519.6259
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2029.14315 2056.68741 3.4784776 2000-2009 –> 2010-2019 8.216902 3417.4283 3469.0695
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2029.79736 2057.34162 3.4814890 2000-2009 –> 2010-2019 8.337195 3429.3783 3481.0195
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2065.40901 2092.95326 3.6494097 2000-2009 –> 2010-2019 8.079386 3422.5968 3474.2380
obs Atlantic (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 3543.02348 3573.33153 5.6201519 2000-2009 –> 2010-2019 11.440908 6419.3554 6478.4281
mod Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2030.18011 2057.72437 3.4832521 2000-2009 –> 2010-2019 8.375913 3433.2639 3484.9051
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate 3603.30854 3629.28687 5.9409629 2000-2009 –> 2010-2019 11.588869 6450.5096 6501.1435
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 3604.32952 3630.30784 5.9463714 2000-2009 –> 2010-2019 11.673415 6464.0537 6514.6875
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2095.79397 2123.33823 3.7990734 2000-2009 –> 2010-2019 8.309567 3461.3034 3512.9446
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 3604.22545 3634.53350 5.9352307 2000-2009 –> 2010-2019 11.499454 6439.9918 6499.0645
mod Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2091.51834 2119.06260 3.7776480 2000-2009 –> 2010-2019 8.324557 3460.7428 3512.3839
obs Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3605.22513 3635.53317 5.9405212 2000-2009 –> 2010-2019 11.562536 6450.2909 6509.3636
mod Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2093.32835 2120.87261 3.7867033 2000-2009 –> 2010-2019 8.370244 3466.2599 3517.9011
obs Atlantic (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 3607.14359 3637.45163 5.9506873 2000-2009 –> 2010-2019 11.669597 6467.5885 6526.6613
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 2686.07908 2715.26636 3.9595218 2000-2009 –> 2010-2019 7.127696 4587.9961 4644.5209
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 5061.96201 5094.94420 5.2153071 2000-2009 –> 2010-2019 10.662104 8663.2511 8726.7260
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2689.24073 2718.42800 3.9726383 2000-2009 –> 2010-2019 7.031347 4565.3483 4621.8731
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 5060.70196 5093.68414 5.2113113 2000-2009 –> 2010-2019 10.674835 8665.5234 8728.9983
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2756.38913 2785.57641 4.2617051 2000-2009 –> 2010-2019 7.114331 4581.2981 4637.8229
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2762.61399 2791.80127 4.2895452 2000-2009 –> 2010-2019 7.088178 4573.4971 4630.0219
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5173.37234 5206.35452 5.5809879 2000-2009 –> 2010-2019 11.064950 8782.4952 8845.9701
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 2696.93671 2726.12398 4.0047478 2000-2009 –> 2010-2019 6.930048 4540.3110 4596.8358
mod Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2763.67154 2792.85881 4.2942930 2000-2009 –> 2010-2019 7.088988 4573.5211 4630.0459
obs Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5172.70555 5205.68774 5.5787248 2000-2009 –> 2010-2019 11.065392 8782.3965 8845.8714
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate 5147.25684 5175.52728 5.4997191 2000-2009 –> 2010-2019 10.950099 8747.3035 8801.7105
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 5142.62143 5170.89188 5.4842340 2000-2009 –> 2010-2019 10.948081 8745.5110 8799.9181
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 2715.11097 2744.29824 4.0816093 2000-2009 –> 2010-2019 7.149746 4593.4775 4650.0023
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 5149.03688 5182.01906 5.4989833 2000-2009 –> 2010-2019 10.945583 8750.2844 8813.7593
mod Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2718.87213 2748.05941 4.0976991 2000-2009 –> 2010-2019 7.065739 4572.8929 4629.4177
obs Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5144.50035 5177.48253 5.4838300 2000-2009 –> 2010-2019 10.943914 8748.5962 8812.0712
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 2725.86222 2750.87989 4.1364150 2000-2009 –> 2010-2019 7.201329 4601.4573 4649.9071
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 5138.69259 5166.96304 5.4711434 2000-2009 –> 2010-2019 10.934664 8741.5134 8795.9205
mod Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 2723.32983 2752.51710 4.1168507 2000-2009 –> 2010-2019 7.036788 4565.3572 4621.8820
obs Atlantic (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 5140.57519 5173.55737 5.4707527 2000-2009 –> 2010-2019 10.930787 8744.6606 8808.1355
mod Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4610.93772 4639.85127 2.9866196 2000-2009 –> 2010-2019 5.349287 7475.9075 7531.4571
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4385.12883 4418.86130 2.6370384 2000-2009 –> 2010-2019 5.166488 7337.4979 7402.3058
mod Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 4540.40846 4569.32201 2.8737035 2000-2009 –> 2010-2019 5.409593 7493.9613 7549.5110
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6066.17069 6100.67046 4.6875313 2000-2009 –> 2010-2019 11.188205 10391.1767 10457.0690
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4516.87976 4550.61223 2.8338933 2000-2009 –> 2010-2019 5.109282 7336.7239 7401.5318
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 6033.15497 6067.65474 4.6123512 2000-2009 –> 2010-2019 11.111158 10357.7847 10423.6769
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4536.77588 4570.50835 2.8648721 2000-2009 –> 2010-2019 5.214329 7396.7255 7461.5334
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6025.05700 6059.55676 4.5940962 2000-2009 –> 2010-2019 11.026061 10336.1433 10402.0355
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6029.27938 6063.77914 4.6036055 2000-2009 –> 2010-2019 11.021798 10337.5578 10403.4500
mod Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4544.12391 4577.85637 2.8763986 2000-2009 –> 2010-2019 5.259241 7421.7390 7486.5469
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6024.72949 6059.22926 4.5933594 2000-2009 –> 2010-2019 11.021786 10335.0950 10400.9872
obs Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate_star 6036.64995 6066.22117 4.6247797 2000-2009 –> 2010-2019 11.120828 10358.7237 10415.2027
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 4238.25073 4271.98320 2.4336573 2000-2009 –> 2010-2019 4.709364 7058.2695 7123.0774
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4247.92799 4281.66046 2.4465609 2000-2009 –> 2010-2019 4.739206 7077.2311 7142.0390
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6025.46911 6059.96887 4.5950235 2000-2009 –> 2010-2019 11.121909 10355.7468 10421.6390
mod Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 4655.88486 4684.79840 3.0608831 2000-2009 –> 2010-2019 5.451502 7535.5791 7591.1288
obs Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 6025.16513 6054.73636 4.5988415 2000-2009 –> 2010-2019 11.221580 10372.5413 10429.0203
mod Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 4270.41127 4304.14374 2.4768046 2000-2009 –> 2010-2019 4.802655 7117.7177 7182.5256
obs Atlantic (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6028.13026 6057.70148 4.6055242 2000-2009 –> 2010-2019 11.196297 10369.1683 10425.6474
obs Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6024.93424 6054.50547 4.5983216 2000-2009 –> 2010-2019 11.217412 10371.5886 10428.0676
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate 5715.95188 5746.78984 2.3227213 2000-2009 –> 2010-2019 4.900850 9887.3841 9946.8948
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5630.92049 5661.75845 2.2457142 2000-2009 –> 2010-2019 4.709165 9722.3627 9781.8734
mod Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 5845.93142 5876.76938 2.4455688 2000-2009 –> 2010-2019 5.178046 10119.5823 10179.0929
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10946.55201 10984.66994 5.8942641 2000-2009 –> 2010-2019 11.850139 19308.3950 19382.7199
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 10926.00288 10964.12080 5.8589956 2000-2009 –> 2010-2019 11.723832 19247.7046 19322.0295
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 5490.98028 5526.95791 2.1228145 2000-2009 –> 2010-2019 4.387780 9436.7436 9506.1727
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5631.39994 5667.37756 2.2443606 2000-2009 –> 2010-2019 4.623934 9663.9413 9733.3705
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 10934.83643 10972.95436 5.8741307 2000-2009 –> 2010-2019 11.740808 19257.3558 19331.6806
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5711.52273 5747.50035 2.3168076 2000-2009 –> 2010-2019 4.741465 9777.0600 9846.4891
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10924.54520 10962.66313 5.8565019 2000-2009 –> 2010-2019 11.645285 19212.2318 19286.5567
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5867.74140 5903.71902 2.4648541 2000-2009 –> 2010-2019 5.114398 10089.2084 10158.6375
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10935.08299 10973.20091 5.8745537 2000-2009 –> 2010-2019 11.742541 19258.1844 19332.5093
mod Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5731.65943 5767.63706 2.3353801 2000-2009 –> 2010-2019 4.774379 9807.5645 9876.9937
obs Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10924.71612 10962.83404 5.8567942 2000-2009 –> 2010-2019 11.654991 19216.6373 19290.9622
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 5645.53235 5676.37031 2.2587631 2000-2009 –> 2010-2019 4.561729 9618.5463 9678.0570
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 10884.24097 10922.35890 5.7879686 2000-2009 –> 2010-2019 11.817624 19278.1686 19352.4935
mod Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5644.57259 5680.55022 2.2561138 2000-2009 –> 2010-2019 4.515924 9586.3300 9655.7592
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 10862.31129 10900.42921 5.7510168 2000-2009 –> 2010-2019 11.667536 19206.8773 19281.2022
obs Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 10924.89302 10957.56553 5.8605190 2000-2009 –> 2010-2019 11.830049 19290.7042 19354.4113
obs Atlantic (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 10925.02174 10957.69425 5.8607393 2000-2009 –> 2010-2019 11.841875 19295.8944 19359.6014
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate 10913.64460 10947.35116 3.5286491 2000-2009 –> 2010-2019 6.859149 20590.5611 20657.3826
mod Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 10847.46463 10881.17118 3.4717079 2000-2009 –> 2010-2019 7.266572 21005.5010 21072.3225
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 13153.22790 13192.63433 5.8902221 2000-2009 –> 2010-2019 10.407404 22146.7327 22223.4886
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13172.37563 13211.78206 5.9176874 2000-2009 –> 2010-2019 10.416846 22153.6147 22230.3706
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + silicate 10881.82619 10921.15050 3.4994361 2000-2009 –> 2010-2019 6.749836 20471.0100 20548.9684
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 13196.19664 13229.97358 5.9549277 2000-2009 –> 2010-2019 10.488293 22198.6732 22264.4639
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate_star 13208.94627 13242.72321 5.9734021 2000-2009 –> 2010-2019 10.495575 22203.8389 22269.6297
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 10846.35175 10885.67607 3.4690524 2000-2009 –> 2010-2019 7.247419 20990.3284 21068.2868
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13186.16911 13225.57554 5.9375519 2000-2009 –> 2010-2019 10.469548 22189.7191 22266.4750
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 10767.47225 10806.79657 3.4024346 2000-2009 –> 2010-2019 7.067317 20799.0431 20877.0015
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13200.23280 13239.63922 5.9578743 2000-2009 –> 2010-2019 10.479894 22197.0218 22273.7776
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 10982.28700 11015.99356 3.5886958 2000-2009 –> 2010-2019 7.150738 20906.9456 20973.7671
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 10748.26007 10787.58439 3.3864036 2000-2009 –> 2010-2019 6.924447 20650.0003 20727.9586
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 13202.03113 13235.80807 5.9633749 2000-2009 –> 2010-2019 10.486235 22197.3900 22263.1808
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 10768.48036 10807.80468 3.4032778 2000-2009 –> 2010-2019 7.070654 20802.5585 20880.5168
obs Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13193.20257 13232.60900 5.9477068 2000-2009 –> 2010-2019 10.470548 22190.5489 22267.3048
mod Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 10832.90365 10866.61021 3.4593035 2000-2009 –> 2010-2019 7.253814 20990.5967 21057.4182
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate 13157.38355 13191.16049 5.8990378 2000-2009 –> 2010-2019 10.594044 22267.3473 22333.1381
mod Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate 11175.89309 11209.59965 3.7636202 2000-2009 –> 2010-2019 7.242286 21013.2478 21080.0693
obs Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 13158.98625 13198.39268 5.8984684 2000-2009 –> 2010-2019 10.579356 22261.7103 22338.4662
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate 18836.60011 18868.19748 2.3996181 2000-2009 –> 2010-2019 4.933558 34850.7366 34913.0019
mod Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 18160.38268 18198.29952 2.2092666 2000-2009 –> 2010-2019 4.724039 34124.7804 34199.4988
obs Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 14519.99440 14554.65864 5.0596383 2000-2009 –> 2010-2019 10.503923 25939.8763 26007.6195
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14754.42491 14794.86652 5.3121792 2000-2009 –> 2010-2019 10.653172 26106.1238 26185.1576
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 18838.38138 18876.29823 2.3995541 2000-2009 –> 2010-2019 4.906554 34781.6859 34856.4043
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 18720.63940 18758.55624 2.3653705 2000-2009 –> 2010-2019 4.827729 34541.5164 34616.2348
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 18158.83717 18203.07348 2.2083123 2000-2009 –> 2010-2019 4.702823 34070.1122 34157.2837
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 14509.47435 14549.91596 5.0463810 2000-2009 –> 2010-2019 10.244713 25761.9749 25841.0087
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17943.90407 17988.14039 2.1512227 2000-2009 –> 2010-2019 4.602490 33736.0197 33823.1911
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14534.79020 14575.23182 5.0732236 2000-2009 –> 2010-2019 10.280395 25793.5156 25872.5493
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 18915.81642 18953.73326 2.4223044 2000-2009 –> 2010-2019 4.896591 34769.6209 34844.3393
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18036.50479 18080.74111 2.1756357 2000-2009 –> 2010-2019 4.630878 33839.6602 33926.8316
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 18718.29891 18756.21576 2.3646959 2000-2009 –> 2010-2019 4.829330 34545.4700 34620.1883
mod Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17949.68377 17993.92008 2.1527384 2000-2009 –> 2010-2019 4.606131 33747.7046 33834.8760
obs Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14515.75771 14556.19932 5.0530300 2000-2009 –> 2010-2019 10.251612 25768.4343 25847.4680
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14478.57265 14519.01427 5.0138081 2000-2009 –> 2010-2019 10.295373 25789.2744 25868.3081
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14517.91506 14558.35668 5.0553149 2000-2009 –> 2010-2019 10.353314 25840.0003 25919.0341
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 14508.17454 14542.83878 5.0471215 2000-2009 –> 2010-2019 10.328686 25816.8762 25884.6195
obs Atlantic (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate_star 14533.80614 14568.47038 5.0743038 2000-2009 –> 2010-2019 10.372312 25853.8973 25921.6405
obs Atlantic (27.5,27.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 14514.56727 14549.23151 5.0538873 2000-2009 –> 2010-2019 10.339373 25825.9880 25893.7312
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 5028.48132 5060.37662 1.2824530 2000-2009 –> 2010-2019 2.527851 9329.7957 9392.7531
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 9082.03437 9118.96542 5.5777732 2000-2009 –> 2010-2019 10.689976 16466.2090 16538.8171
mod Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 4789.15960 4821.05490 1.1843723 2000-2009 –> 2010-2019 2.386858 8998.6753 9061.6327
obs Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 9080.47007 9112.12526 5.5786141 2000-2009 –> 2010-2019 10.717038 16475.0049 16537.2404
obs Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 9074.54444 9111.47549 5.5633361 2000-2009 –> 2010-2019 10.690695 16465.8711 16538.4792
mod Atlantic (27.75,27.85] cstar_tref ~ sal + nitrate + silicate + phosphate_star 5448.08035 5479.97565 1.4744264 2000-2009 –> 2010-2019 2.856649 10022.2884 10085.2458
mod Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 5438.65206 5470.54736 1.4698122 2000-2009 –> 2010-2019 2.859024 10026.0644 10089.0218
obs Atlantic (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9072.83003 9104.48521 5.5638859 2000-2009 –> 2010-2019 10.722059 16476.6326 16538.8681
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 4975.16652 5012.37770 1.2590852 2000-2009 –> 2010-2019 2.501320 9271.8243 9345.2747
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 4644.65973 4681.87091 1.1280715 2000-2009 –> 2010-2019 2.325441 8845.0125 8918.4628
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 9075.83705 9112.76811 5.5658250 2000-2009 –> 2010-2019 10.703012 16471.7900 16544.3981
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4779.55213 4816.76331 1.1798108 2000-2009 –> 2010-2019 2.417880 9067.4141 9140.8644
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9066.37134 9103.30239 5.5476249 2000-2009 –> 2010-2019 10.697889 16468.4667 16541.0748
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4786.08001 4823.29119 1.1823739 2000-2009 –> 2010-2019 2.418100 9068.9839 9142.4343
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4773.23414 4810.44532 1.1773353 2000-2009 –> 2010-2019 2.411243 9052.2821 9125.7324
obs Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9073.49416 9110.42521 5.5613147 2000-2009 –> 2010-2019 10.702440 16471.2990 16543.9071
mod Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 4868.93554 4900.83084 1.2162036 2000-2009 –> 2010-2019 2.537607 9325.3378 9388.2952
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 9094.13080 9131.06185 5.6011685 2000-2009 –> 2010-2019 10.717973 16480.4789 16553.0870
obs Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 9085.00178 9121.93283 5.5835033 2000-2009 –> 2010-2019 10.710034 16475.9381 16548.5462
obs Atlantic (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 9091.82167 9128.75272 5.5966949 2000-2009 –> 2010-2019 10.715549 16479.1375 16551.7456
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 5968.11983 5999.89831 1.8222739 2000-2009 –> 2010-2019 4.730259 12514.3767 12577.2402
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 19170.21972 19212.55900 5.1662053 2000-2009 –> 2010-2019 10.804521 36293.2983 36376.9886
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 18619.10165 18661.44093 4.7306957 2000-2009 –> 2010-2019 10.132444 35509.2647 35592.9550
mod Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate 5737.24571 5769.02419 1.6850963 2000-2009 –> 2010-2019 4.409579 12112.2044 12175.0679
obs Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate_star 18628.28151 18664.57232 4.7391546 2000-2009 –> 2010-2019 10.141354 35516.8978 35588.6323
obs Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 18969.90475 19012.24403 5.0034567 2000-2009 –> 2010-2019 10.558670 36012.2964 36095.9867
mod Atlantic (27.85,27.95] cstar_tref ~ sal + nitrate + silicate + phosphate_star 6225.75021 6257.52869 1.9885733 2000-2009 –> 2010-2019 4.819325 12701.2658 12764.1293
mod Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6209.57832 6241.35680 1.9777018 2000-2009 –> 2010-2019 4.761591 12641.2237 12704.0872
obs Atlantic (27.85,27.95] cstar_tref ~ sal + silicate + phosphate + phosphate_star 19015.59186 19051.88267 5.0417296 2000-2009 –> 2010-2019 10.601324 36060.2673 36132.0018
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 5802.36953 5839.44442 1.7215424 2000-2009 –> 2010-2019 4.616758 12339.0601 12412.4008
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 5415.59423 5452.66912 1.5100011 2000-2009 –> 2010-2019 4.234267 11792.3435 11865.6843
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 18519.26500 18561.60428 4.6558236 2000-2009 –> 2010-2019 10.025277 35376.8432 35460.5334
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5526.89427 5563.96916 1.5680600 2000-2009 –> 2010-2019 4.317069 11927.4047 12000.7454
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18486.24670 18528.58598 4.6313234 2000-2009 –> 2010-2019 9.989475 35332.3751 35416.0654
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 18527.82460 18570.16388 4.6621962 2000-2009 –> 2010-2019 10.080204 35434.3195 35518.0098
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5535.16878 5572.24367 1.5724645 2000-2009 –> 2010-2019 4.365367 11977.3087 12050.6494
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 18545.81105 18582.10186 4.6771098 2000-2009 –> 2010-2019 10.096824 35452.0176 35523.7521
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5515.55130 5552.62620 1.5620423 2000-2009 –> 2010-2019 4.302558 11907.9301 11981.2708
obs Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18515.15468 18557.49396 4.6527667 2000-2009 –> 2010-2019 10.019886 35370.3696 35454.0599
mod Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 5634.74673 5666.52521 1.6275524 2000-2009 –> 2010-2019 4.648840 12281.4527 12344.3162
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 20539.23134 20581.99592 5.2992347 2000-2009 –> 2010-2019 12.001455 39226.0149 39310.3685
obs Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate_star 20602.99767 20639.65302 5.3519024 2000-2009 –> 2010-2019 12.067928 39299.3499 39371.6530
obs Atlantic (27.95,28.05] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 20669.67409 20712.43867 5.4042078 2000-2009 –> 2010-2019 12.140786 39385.2042 39469.5578
obs Atlantic (27.95,28.05] cstar_tref ~ sal + silicate + phosphate + phosphate_star 20759.06715 20795.72250 5.4789923 2000-2009 –> 2010-2019 12.225581 39480.9459 39553.2490
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 9450.78290 9483.61449 3.5451642 2000-2009 –> 2010-2019 7.370190 17357.8239 17422.2481
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 9480.67996 9513.51155 3.5754378 2000-2009 –> 2010-2019 7.398267 17386.0781 17450.5023
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 9297.95523 9336.25876 3.3924396 2000-2009 –> 2010-2019 7.217403 17206.9495 17282.1111
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 20651.44823 20694.21281 5.3894166 2000-2009 –> 2010-2019 12.131909 39371.9122 39456.2659
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9309.04487 9347.34840 3.4031564 2000-2009 –> 2010-2019 7.225851 17216.3417 17291.5032
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 20587.47281 20630.23739 5.3378170 2000-2009 –> 2010-2019 12.051789 39284.1053 39368.4589
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 9544.56929 9577.40088 3.6410010 2000-2009 –> 2010-2019 7.461341 17448.1043 17512.5285
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 20716.32951 20759.09409 5.4422562 2000-2009 –> 2010-2019 12.377722 39595.4378 39679.7915
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 9279.15354 9317.45706 3.3743470 2000-2009 –> 2010-2019 7.171229 17167.0730 17242.2345
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 20829.52217 20872.28675 5.5356842 2000-2009 –> 2010-2019 12.455415 39695.8613 39780.2150
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 9475.89675 9508.72834 3.5705770 2000-2009 –> 2010-2019 7.393458 17381.3333 17445.7575
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate_star 9556.48247 9583.84213 3.6554374 2000-2009 –> 2010-2019 7.485020 17464.9280 17518.6149
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 20810.53941 20847.19476 5.5215652 2000-2009 –> 2010-2019 12.460396 39690.3750 39762.6782
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9309.42360 9347.72713 3.4035230 2000-2009 –> 2010-2019 7.226281 17216.7681 17291.9296
obs Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 20630.97097 20673.73554 5.3728466 2000-2009 –> 2010-2019 12.102115 39340.3974 39424.7511
mod Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 9309.11197 9341.94356 3.4051577 2000-2009 –> 2010-2019 7.230504 17216.3921 17280.8163
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17403.52486 17445.03127 5.5340812 2000-2009 –> 2010-2019 12.979195 30883.6561 30964.2452
obs Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 17460.67335 17496.25027 5.5933111 2000-2009 –> 2010-2019 13.043053 30941.2468 31010.3232
obs Atlantic (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate_star 17422.93352 17458.51044 5.5554465 2000-2009 –> 2010-2019 13.055442 30929.9287 30999.0051
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17458.41809 17499.92450 5.5890289 2000-2009 –> 2010-2019 13.007457 30924.4376 31005.0267
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 3547.06981 3581.57643 1.3628379 2000-2009 –> 2010-2019 2.467792 5899.9324 5966.9638
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 3412.41286 3441.98996 1.2771979 2000-2009 –> 2010-2019 2.267395 5594.4070 5651.8625
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 3452.51146 3482.08856 1.3025010 2000-2009 –> 2010-2019 2.311154 5662.9447 5720.4002
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 17485.73388 17521.31080 5.6185969 2000-2009 –> 2010-2019 13.037567 30950.0407 31019.1171
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 3411.74699 3446.25360 1.2755332 2000-2009 –> 2010-2019 2.246828 5566.0599 5633.0913
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3448.63214 3483.13875 1.2987599 2000-2009 –> 2010-2019 2.293010 5638.9168 5705.9482
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17435.14714 17476.65354 5.5656685 2000-2009 –> 2010-2019 12.975168 30896.4339 30977.0230
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17438.94057 17480.44697 5.5694699 2000-2009 –> 2010-2019 12.994935 30908.6863 30989.2754
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + phosphate_star 17463.35180 17498.92872 5.5960081 2000-2009 –> 2010-2019 13.023139 30931.9790 31001.0554
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17395.98634 17437.49275 5.5265775 2000-2009 –> 2010-2019 12.952954 30866.2141 30946.8033
obs Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17479.19856 17520.70497 5.6099720 2000-2009 –> 2010-2019 13.038945 30950.8003 31031.3894
mod Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 3587.39789 3616.97499 1.3913544 2000-2009 –> 2010-2019 2.586897 6059.6069 6117.0624
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate 3453.29043 3477.93801 1.3042730 2000-2009 –> 2010-2019 2.380384 5761.4199 5809.2994
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate_star 3495.99073 3520.63832 1.3318066 2000-2009 –> 2010-2019 2.433985 5840.9798 5888.8593
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate 3455.25924 3484.83634 1.3042531 2000-2009 –> 2010-2019 2.358159 5733.2798 5790.7352
mod Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 3497.73070 3527.30780 1.3316372 2000-2009 –> 2010-2019 2.416419 5820.2199 5877.6754
mod Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate 4863.88526 4895.72445 1.2327049 2000-2009 –> 2010-2019 2.501579 9127.9235 9190.7044
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate 4720.97481 4752.81399 1.1749838 2000-2009 –> 2010-2019 2.525378 9144.7889 9207.5699
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + nitrate + silicate 4613.53994 4650.68566 1.1326174 2000-2009 –> 2010-2019 2.476399 9026.7571 9100.0015
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 4404.96510 4436.80429 1.0567634 2000-2009 –> 2010-2019 2.411881 8837.7395 8900.5204
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 4451.37339 4483.21258 1.0733494 2000-2009 –> 2010-2019 2.435303 8897.0589 8959.8399
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 13875.46345 13909.48602 6.1358296 2000-2009 –> 2010-2019 14.999939 23163.5082 23228.4959
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 4364.56632 4401.71204 1.0418344 2000-2009 –> 2010-2019 2.290893 8590.2148 8663.4592
mod Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4421.54832 4458.69404 1.0619475 2000-2009 –> 2010-2019 2.322523 8670.7480 8743.9924
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13870.97604 13910.66904 6.1265536 2000-2009 –> 2010-2019 14.972713 23155.7989 23231.6178
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13858.19187 13897.88487 6.1083152 2000-2009 –> 2010-2019 14.952278 23142.3750 23218.1939
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 13869.74154 13903.76411 6.1276474 2000-2009 –> 2010-2019 14.985030 23155.8305 23220.8181
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13869.11563 13908.80863 6.1238961 2000-2009 –> 2010-2019 14.972103 23154.5346 23230.3535
obs Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate_star 13869.03562 13903.05819 6.1266387 2000-2009 –> 2010-2019 14.974851 23152.4562 23217.4438
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate 4523.00593 4549.53859 1.1002011 2000-2009 –> 2010-2019 2.501241 9039.2950 9091.6124
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 4507.85474 4539.69393 1.0938872 2000-2009 –> 2010-2019 2.443787 8930.7285 8993.5094
mod Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 4578.51759 4610.35678 1.1201358 2000-2009 –> 2010-2019 2.488074 9035.4537 9098.2346
obs Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate_star 13876.73249 13910.75506 6.1376458 2000-2009 –> 2010-2019 14.996546 23163.2627 23228.2504
obs Atlantic (28.1,28.15] cstar_tref ~ temp + nitrate + silicate + phosphate_star 13863.98700 13898.00957 6.1194296 2000-2009 –> 2010-2019 14.977388 23150.2436 23215.2312
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate + phosphate_star 13875.36389 13909.38646 6.1356871 2000-2009 –> 2010-2019 14.995382 23162.1254 23227.1131
obs Atlantic (28.1,28.15] cstar_tref ~ temp + silicate + phosphate_star 13874.74613 13903.09827 6.1376653 2000-2009 –> 2010-2019 14.997479 23159.5421 23213.6985
mod Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate 7854.98329 7890.78072 0.9434099 2000-2009 –> 2010-2019 2.025465 14373.4279 14443.3258
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 7173.13792 7208.93536 0.8381584 2000-2009 –> 2010-2019 1.880364 13528.5823 13598.4802
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 7091.81392 7133.57760 0.8261292 2000-2009 –> 2010-2019 1.864498 13433.2387 13514.7862
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate 3955.76332 3983.54742 3.2624827 2000-2009 –> 2010-2019 7.314620 7422.8557 7477.1500
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate_star 3956.69168 3984.47578 3.2644811 2000-2009 –> 2010-2019 7.361216 7437.2035 7491.4978
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3861.30869 3893.72347 3.0613746 2000-2009 –> 2010-2019 7.148680 7340.9955 7404.3388
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 7538.03610 7573.83354 0.8929347 2000-2009 –> 2010-2019 1.953337 13968.6716 14038.5695
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + phosphate_star 3968.75770 3996.54180 3.2905672 2000-2009 –> 2010-2019 7.407082 7455.1747 7509.4690
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7488.11869 7529.88237 0.8849280 2000-2009 –> 2010-2019 1.938912 13894.3829 13975.9304
obs Atlantic (28.15,28.2] cstar_tref ~ sal + temp + phosphate + phosphate_star 3955.26619 3983.05030 3.2614130 2000-2009 –> 2010-2019 7.352903 7434.2076 7488.5019
mod Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7795.81573 7837.57940 0.9334514 2000-2009 –> 2010-2019 2.014781 14313.3472 14394.8947
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate 7578.50098 7608.33218 0.8995375 2000-2009 –> 2010-2019 1.988318 14121.8633 14180.1115
mod Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 7134.57969 7170.37713 0.8325702 2000-2009 –> 2010-2019 1.883193 13524.9685 13594.8664
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate 3974.33598 3997.48940 3.3070575 2000-2009 –> 2010-2019 7.359820 7439.6174 7484.8627
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + phosphate_star 3982.07992 4005.23334 3.3239936 2000-2009 –> 2010-2019 7.421119 7460.7086 7505.9538
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 3906.14183 3933.92593 3.1574243 2000-2009 –> 2010-2019 7.203967 7371.5404 7425.8347
obs Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 3897.17342 3924.95752 3.1388006 2000-2009 –> 2010-2019 7.226323 7374.9252 7429.2195
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + phosphate_star 7660.18883 7690.02003 0.9123766 2000-2009 –> 2010-2019 1.975585 14100.3063 14158.5545
mod Atlantic (28.15,28.2] cstar_tref ~ temp + nitrate + silicate + phosphate_star 7499.75739 7535.55483 0.8870244 2000-2009 –> 2010-2019 1.941155 13904.6262 13974.5241
obs Atlantic (28.15,28.2] cstar_tref ~ temp + phosphate + phosphate_star 3979.47641 4002.62983 3.3182900 2000-2009 –> 2010-2019 7.410125 7456.5210 7501.7662
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 8774.84156 8807.09682 0.6172237 2000-2009 –> 2010-2019 1.371365 14661.9083 14723.4510
mod Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 8634.13370 8672.84002 0.6078845 2000-2009 –> 2010-2019 1.342413 14386.9656 14460.8168
obs Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 9252.64678 9291.03736 3.2419888 2000-2009 –> 2010-2019 6.630365 16271.3206 16346.0459
mod Atlantic (28.2, Inf] cstar_tref ~ sal + nitrate + silicate + phosphate_star 11586.23985 11624.94617 0.8332893 2000-2009 –> 2010-2019 1.808190 18802.7336 18876.5848
obs Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 9253.04275 9285.94896 3.2441715 2000-2009 –> 2010-2019 6.648555 16282.2252 16346.2754
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 8685.12637 8723.83269 0.6112052 2000-2009 –> 2010-2019 1.361048 14544.6367 14618.4879
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate 9203.53660 9241.92719 3.1975726 2000-2009 –> 2010-2019 6.634266 16259.7887 16334.5140
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 9281.93133 9320.32191 3.2687674 2000-2009 –> 2010-2019 6.640922 16287.8691 16362.5944
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 8546.44317 8591.60055 0.6020874 2000-2009 –> 2010-2019 1.335156 14290.9885 14377.1482
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate_star 9282.28895 9315.19516 3.2709328 2000-2009 –> 2010-2019 6.646463 16288.8815 16352.9318
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 12329.59579 12374.75317 0.9019738 2000-2009 –> 2010-2019 1.819020 19231.7985 19317.9582
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 9166.55722 9204.94780 3.1645299 2000-2009 –> 2010-2019 6.614573 16233.0989 16307.8242
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 9189.19313 9227.58371 3.1847153 2000-2009 –> 2010-2019 6.549944 16189.6741 16264.3994
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 9243.66279 9282.05337 3.2338176 2000-2009 –> 2010-2019 6.624408 16264.0702 16338.7955
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + phosphate_star 11160.03760 11198.74392 0.7961968 2000-2009 –> 2010-2019 1.621282 17513.9193 17587.7705
mod Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11116.89748 11162.05485 0.7923663 2000-2009 –> 2010-2019 1.610730 17430.4923 17516.6521
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + phosphate + phosphate_star 9250.34255 9283.24877 3.2417118 2000-2009 –> 2010-2019 6.641871 16276.2295 16340.2798
obs Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 9169.93510 9208.32568 3.1675339 2000-2009 –> 2010-2019 6.564191 16195.0872 16269.8125
mod Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 10365.00496 10403.71128 0.7313609 2000-2009 –> 2010-2019 1.662109 17341.8822 17415.7334
mod Atlantic (28.2, Inf] cstar_tref ~ temp + nitrate + silicate + phosphate_star 11869.33954 11908.04586 0.8588777 2000-2009 –> 2010-2019 1.811203 18964.7048 19038.5560
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 20685.79954 20728.79195 4.9040286 2000-2009 –> 2010-2019 10.443114 36197.1006 36280.7910
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 21497.97042 21534.82106 5.5210501 2000-2009 –> 2010-2019 11.415985 37315.4792 37387.2138
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 21110.96122 21153.95362 5.2171107 2000-2009 –> 2010-2019 10.871364 36724.1265 36807.8168
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 26451.92176 26490.17968 5.0785779 2000-2009 –> 2010-2019 11.535770 47331.3039 47405.9440
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 21219.68440 21262.67681 5.3003324 2000-2009 –> 2010-2019 11.116709 36972.7838 37056.4741
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate 26376.64018 26421.27442 5.0335929 2000-2009 –> 2010-2019 11.335522 47103.3736 47190.4536
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21329.01647 21372.00887 5.3853589 2000-2009 –> 2010-2019 11.304518 37168.8243 37252.5146
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 26400.29937 26444.93361 5.0473222 2000-2009 –> 2010-2019 11.359141 47136.9958 47224.0759
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 21429.34123 21472.33363 5.4645800 2000-2009 –> 2010-2019 11.655359 37491.2386 37574.9290
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 26452.54681 26497.18105 5.0777740 2000-2009 –> 2010-2019 11.531737 47330.7504 47417.8305
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 21892.04093 21935.03334 5.8453006 2000-2009 –> 2010-2019 11.942152 37878.2604 37961.9508
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 27668.28323 27712.91748 5.8406263 2000-2009 –> 2010-2019 12.456267 48703.6995 48790.7796
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 22076.45556 22119.44796 6.0043337 2000-2009 –> 2010-2019 12.277756 38203.9952 38287.6856
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 27764.92728 27809.56153 5.9059744 2000-2009 –> 2010-2019 12.557042 48834.2782 48921.3583
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21465.33890 21508.33130 5.4932886 2000-2009 –> 2010-2019 11.504445 37381.4893 37465.1797
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 26601.60253 26646.23677 5.1656629 2000-2009 –> 2010-2019 11.520795 47381.7532 47468.8333
mod Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 22144.77280 22187.76521 6.0643404 2000-2009 –> 2010-2019 12.374172 38300.9582 38384.6486
obs Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 27814.51676 27859.15100 5.9397888 2000-2009 –> 2010-2019 12.606260 48898.5661 48985.6462
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 27631.05844 27669.31636 5.8169884 2000-2009 –> 2010-2019 12.903351 49101.2197 49175.8598
obs Indo-Pacific (-Inf,26] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 27549.62469 27594.25893 5.7613806 2000-2009 –> 2010-2019 12.757831 48940.6508 49027.7308
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14746.27933 14787.14773 4.4180158 2000-2009 –> 2010-2019 8.697958 28785.6698 28867.1393
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14634.79074 14675.65086 4.3367430 2000-2009 –> 2010-2019 8.956474 29194.6155 29276.1481
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14974.37018 15015.23858 4.6212317 2000-2009 –> 2010-2019 9.062242 29194.1131 29275.5827
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14670.74622 14711.60634 4.3676321 2000-2009 –> 2010-2019 9.003825 29248.1139 29329.6464
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 14885.10090 14920.12386 4.5582018 2000-2009 –> 2010-2019 9.472860 29748.1452 29818.0303
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 13481.11047 13521.97887 3.4426753 2000-2009 –> 2010-2019 7.521638 27285.6930 27367.1626
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 14706.78751 14747.64762 4.3988157 2000-2009 –> 2010-2019 9.110079 29363.3754 29444.9080
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13756.85685 13797.72525 3.6350224 2000-2009 –> 2010-2019 7.882972 27759.6172 27841.0868
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 14761.19938 14802.05950 4.4463163 2000-2009 –> 2010-2019 9.194044 29455.8138 29537.3464
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15014.44402 15055.31242 4.6578886 2000-2009 –> 2010-2019 9.140106 29279.2777 29360.7472
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 14677.29669 14718.15681 4.3732832 2000-2009 –> 2010-2019 9.014914 29260.4462 29341.9788
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + phosphate_star 14745.78678 14780.80974 4.4345599 2000-2009 –> 2010-2019 9.253725 29512.0587 29581.9438
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14669.02421 14709.89261 4.3512318 2000-2009 –> 2010-2019 9.154054 29271.1345 29352.6041
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 14681.22031 14722.08043 4.3766716 2000-2009 –> 2010-2019 9.132260 29383.9939 29465.5265
mod Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13811.20304 13852.07144 3.6741808 2000-2009 –> 2010-2019 7.954424 27850.9367 27932.4063
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 14759.59096 14800.45108 4.4449048 2000-2009 –> 2010-2019 9.194568 29456.2155 29537.7481
obs Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 14767.01504 14802.03800 4.4531812 2000-2009 –> 2010-2019 9.226051 29485.6786 29555.5637
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14736.70097 14777.56938 4.4096803 2000-2009 –> 2010-2019 8.687968 28774.2035 28855.6731
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14853.91416 14894.78256 4.5127740 2000-2009 –> 2010-2019 8.801089 28902.8464 28984.3160
mod Indo-Pacific (26,26.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14893.96957 14934.83798 4.5485541 2000-2009 –> 2010-2019 8.854425 28962.8474 29044.3169
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 14065.34353 14105.78514 4.5979069 2000-2009 –> 2010-2019 9.053100 27013.1035 27093.4820
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 15506.02108 15547.05317 4.7821335 2000-2009 –> 2010-2019 9.804124 31745.3138 31827.5878
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 14219.28509 14259.72671 4.7486507 2000-2009 –> 2010-2019 9.307022 27268.6988 27349.0773
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 15553.89790 15594.92999 4.8264348 2000-2009 –> 2010-2019 9.906955 31855.1825 31937.4565
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate 15798.20743 15833.37779 5.0609199 2000-2009 –> 2010-2019 10.434622 32397.6445 32468.1651
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 13380.90808 13421.34969 3.9835517 2000-2009 –> 2010-2019 8.350491 26239.8319 26320.2103
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 15799.84150 15840.87359 5.0605632 2000-2009 –> 2010-2019 10.424314 32391.3619 32473.6359
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13537.40620 13577.84781 4.1163584 2000-2009 –> 2010-2019 8.596601 26510.0600 26590.4384
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 15848.15280 15889.18489 5.1078712 2000-2009 –> 2010-2019 10.507945 32475.7812 32558.0552
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 15558.38609 15599.41818 4.8306088 2000-2009 –> 2010-2019 9.920362 31869.3847 31951.6588
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + phosphate_star 15579.41511 15614.58548 4.8520824 2000-2009 –> 2010-2019 10.053153 32004.1614 32074.6820
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13650.05212 13690.49373 4.2146834 2000-2009 –> 2010-2019 8.828328 26752.9800 26833.3585
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 15568.91100 15609.94309 4.8404110 2000-2009 –> 2010-2019 9.973225 31924.9810 32007.2550
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 15838.60577 15873.77613 5.1004519 2000-2009 –> 2010-2019 10.516736 32480.2700 32550.7906
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13547.64388 13588.08549 4.1251990 2000-2009 –> 2010-2019 8.613988 26528.7590 26609.1374
obs Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 15837.92520 15878.95729 5.0978193 2000-2009 –> 2010-2019 10.493739 32461.4368 32543.7108
mod Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 13676.47569 13711.13994 4.2398624 2000-2009 –> 2010-2019 8.872584 26795.7248 26864.6206
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 14010.05748 14050.49910 4.5449452 2000-2009 –> 2010-2019 8.976101 26933.7965 27014.1750
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 14134.05684 14174.49846 4.6645924 2000-2009 –> 2010-2019 9.192073 27153.2795 27233.6579
mod Indo-Pacific (26.5,26.75] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 14148.36659 14188.80821 4.6786010 2000-2009 –> 2010-2019 9.222843 27183.9962 27264.3746
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 25394.40281 25438.81933 4.9301090 2000-2009 –> 2010-2019 10.147550 50147.9412 50236.4649
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17671.01783 17713.58165 3.7191681 2000-2009 –> 2010-2019 7.911102 36503.1777 36588.4512
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate 25110.67528 25155.09180 4.7667476 2000-2009 –> 2010-2019 9.885561 49710.4687 49798.9924
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 17862.17523 17904.73906 3.8308311 2000-2009 –> 2010-2019 8.133752 36866.7544 36952.0279
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 25343.90930 25388.32583 4.9006323 2000-2009 –> 2010-2019 10.133736 50121.5947 50210.1184
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 18162.83171 18205.39554 4.0132790 2000-2009 –> 2010-2019 8.520607 37473.6260 37558.8995
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 25519.09388 25563.51041 5.0036618 2000-2009 –> 2010-2019 10.155979 50171.4438 50259.9675
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 17868.95486 17911.51869 3.8348523 2000-2009 –> 2010-2019 8.129514 36860.8566 36946.1300
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 25393.91761 25438.33413 4.9298249 2000-2009 –> 2010-2019 10.182328 50201.4122 50289.9359
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 17901.34698 17937.83026 3.8553166 2000-2009 –> 2010-2019 8.226065 37007.1195 37080.2110
mod Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17588.39668 17630.96050 3.6719186 2000-2009 –> 2010-2019 8.028679 36675.0197 36760.2932
obs Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 25198.25120 25242.66773 4.8165850 2000-2009 –> 2010-2019 9.893133 49731.2519 49819.7756
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 18423.97346 18460.45674 4.1800785 2000-2009 –> 2010-2019 8.567996 37555.6127 37628.7043
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate 25243.53719 25281.60850 4.8437106 2000-2009 –> 2010-2019 9.989484 49883.6488 49959.5263
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 17938.82368 17981.38751 3.8765407 2000-2009 –> 2010-2019 8.264035 37071.8274 37157.1008
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18115.65907 18158.22290 3.9840887 2000-2009 –> 2010-2019 8.497018 37434.6486 37519.9220
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 25317.70320 25362.11972 4.8854034 2000-2009 –> 2010-2019 10.000866 49912.2220 50000.7457
mod Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18123.89221 18166.45604 3.9891681 2000-2009 –> 2010-2019 8.490968 37426.5894 37511.8628
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 25320.51436 25364.93089 4.8870348 2000-2009 –> 2010-2019 10.002119 49914.4375 50002.9612
obs Indo-Pacific (26.75,27] cstar_tref ~ temp + nitrate + silicate + phosphate_star 25318.51566 25356.58697 4.8870355 2000-2009 –> 2010-2019 10.002522 49911.0720 49986.9494
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 29345.44653 29390.98237 4.7106757 2000-2009 –> 2010-2019 9.458039 61374.9810 61466.6474
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 29578.34589 29623.88173 4.8230387 2000-2009 –> 2010-2019 9.679806 61852.9405 61944.6068
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 29349.06710 29388.09782 4.7133563 2000-2009 –> 2010-2019 9.460745 61376.6590 61455.2302
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 29621.97708 29661.00780 4.8453656 2000-2009 –> 2010-2019 9.714174 61921.2061 61999.7773
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 29491.35632 29536.89216 4.7807601 2000-2009 –> 2010-2019 9.596922 61675.6479 61767.3142
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 29539.40966 29578.44039 4.8050415 2000-2009 –> 2010-2019 9.635881 61754.4314 61833.0026
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 20764.82520 20809.38490 2.7064362 2000-2009 –> 2010-2019 5.871426 42669.0719 42758.1259
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29631.41670 29676.95255 4.8490156 2000-2009 –> 2010-2019 9.805261 62124.0938 62215.7601
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 21161.16427 21205.72397 2.8341748 2000-2009 –> 2010-2019 6.095621 43321.0091 43410.0631
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29494.45342 29539.98926 4.7822590 2000-2009 –> 2010-2019 9.584263 61647.0793 61738.7456
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 21181.48025 21226.03996 2.8408826 2000-2009 –> 2010-2019 6.110168 43361.7643 43450.8183
mod Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 21337.14504 21381.70475 2.8928089 2000-2009 –> 2010-2019 6.134395 43444.9864 43534.0404
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29575.11569 29620.65153 4.8214621 2000-2009 –> 2010-2019 9.660598 61810.5926 61902.2590
obs Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29465.98757 29511.52341 4.7685004 2000-2009 –> 2010-2019 9.559787 61594.5795 61686.2458
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate 21078.20566 21116.39969 2.8076012 2000-2009 –> 2010-2019 6.035476 43147.9576 43224.2895
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 21419.65432 21457.84835 2.9213958 2000-2009 –> 2010-2019 6.232570 43706.3334 43782.6654
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 21035.26225 21079.82196 2.7929568 2000-2009 –> 2010-2019 5.912667 42816.8251 42905.8790
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 21411.29336 21455.85307 2.9178758 2000-2009 –> 2010-2019 6.156234 43510.6513 43599.7052
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 21422.35977 21466.91948 2.9216356 2000-2009 –> 2010-2019 6.163752 43531.5924 43620.6463
mod Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 21487.10020 21525.29424 2.9444131 2000-2009 –> 2010-2019 6.206331 43646.1766 43722.5086
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 27795.04083 27841.26699 3.0920857 2000-2009 –> 2010-2019 6.158714 55489.7787 55582.2285
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31896.42090 31942.91162 4.0411725 2000-2009 –> 2010-2019 8.297621 64174.1107 64267.0475
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 32331.47262 32377.96335 4.1994494 2000-2009 –> 2010-2019 8.662954 65143.6212 65236.5580
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 31900.33094 31940.18013 4.0432822 2000-2009 –> 2010-2019 8.307550 64196.6704 64276.3306
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 28243.33721 28289.56338 3.2218601 2000-2009 –> 2010-2019 6.436588 56452.1623 56544.6121
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 32133.39104 32179.88176 4.1266306 2000-2009 –> 2010-2019 8.488848 64687.2650 64780.2018
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 32175.04730 32214.89649 4.1425703 2000-2009 –> 2010-2019 8.542463 64823.6828 64903.3429
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate 32450.61492 32497.10565 4.2438660 2000-2009 –> 2010-2019 8.671320 65171.5152 65264.4520
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 28109.50206 28155.72822 3.1825568 2000-2009 –> 2010-2019 6.437084 56452.4434 56544.8931
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 31809.91239 31856.40311 4.0104180 2000-2009 –> 2010-2019 8.218227 63958.2801 64051.2169
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 31950.23562 31996.72634 4.0604230 2000-2009 –> 2010-2019 8.318613 64232.5259 64325.4627
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 28121.48717 28167.71333 3.1860569 2000-2009 –> 2010-2019 6.446631 56484.6625 56577.1123
mod Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 27637.88107 27684.10723 3.0478390 2000-2009 –> 2010-2019 6.098968 55277.3878 55369.8376
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 31956.82389 32003.31461 4.0627860 2000-2009 –> 2010-2019 8.320994 64239.1629 64332.0997
obs Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 31922.70302 31969.19375 4.0505627 2000-2009 –> 2010-2019 8.299950 64181.7106 64274.6474
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 28203.42480 28243.04723 3.2106774 2000-2009 –> 2010-2019 6.547305 56815.9266 56895.1693
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 27766.04323 27812.26939 3.0838737 2000-2009 –> 2010-2019 6.304512 55994.8891 56087.3389
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 28219.31173 28258.93416 3.2153587 2000-2009 –> 2010-2019 6.560692 56860.2159 56939.4586
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 27757.01520 27803.24137 3.0813214 2000-2009 –> 2010-2019 6.303075 55989.6349 56082.0846
mod Indo-Pacific (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 27796.85293 27836.47535 3.0931669 2000-2009 –> 2010-2019 6.315873 56030.6952 56109.9379
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 31121.40002 31168.59022 2.9062668 2000-2009 –> 2010-2019 5.819524 63288.0533 63382.6583
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 36320.18795 36367.75808 3.7773855 2000-2009 –> 2010-2019 7.735841 71509.4466 71604.2471
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 31048.49088 31095.68108 2.8893835 2000-2009 –> 2010-2019 5.803070 63217.0469 63311.6519
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 31552.12334 31592.57208 3.0085207 2000-2009 –> 2010-2019 6.048746 64268.0290 64349.1190
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 31051.84149 31099.03168 2.8901572 2000-2009 –> 2010-2019 5.799500 63201.1189 63295.7239
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 31646.54530 31686.99404 3.0313068 2000-2009 –> 2010-2019 6.082939 64410.8421 64491.9321
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate 37111.78747 37159.35760 4.0106258 2000-2009 –> 2010-2019 7.697413 71406.1985 71500.9990
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 37128.99497 37176.56511 4.0158527 2000-2009 –> 2010-2019 7.732556 71525.1239 71619.9244
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 36026.00524 36073.57538 3.6942065 2000-2009 –> 2010-2019 7.321781 70116.6354 70211.4359
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 31249.46652 31296.65672 2.9361618 2000-2009 –> 2010-2019 5.954176 63872.6174 63967.2224
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 36063.52422 36111.09435 3.7047120 2000-2009 –> 2010-2019 7.367360 70275.2571 70370.0576
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 31050.93941 31098.12961 2.8899489 2000-2009 –> 2010-2019 5.895805 63621.9328 63716.5378
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 31675.70744 31722.89763 3.0378935 2000-2009 –> 2010-2019 6.001026 64061.7145 64156.3195
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 36076.23203 36123.80217 3.7082771 2000-2009 –> 2010-2019 7.360829 70253.2242 70348.0247
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 31206.44053 31246.88927 2.9265516 2000-2009 –> 2010-2019 5.963188 63907.0796 63988.1696
mod Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 31202.35881 31249.54900 2.9251297 2000-2009 –> 2010-2019 5.935658 63793.4183 63888.0233
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 36057.48396 36105.05410 3.7030187 2000-2009 –> 2010-2019 7.364783 70266.1806 70360.9811
obs Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 36386.63613 36427.41053 3.7970060 2000-2009 –> 2010-2019 7.462493 70606.1217 70687.3792
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 36896.05344 36943.62358 3.9456695 2000-2009 –> 2010-2019 7.696395 71406.8689 71501.6694
obs Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate 36894.30896 36935.08336 3.9457458 2000-2009 –> 2010-2019 7.718220 71475.8931 71557.1506
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 11305.74508 11340.57793 2.4160900 2000-2009 –> 2010-2019 4.745597 22640.7213 22710.4984
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 11305.42149 11346.05982 2.4149464 2000-2009 –> 2010-2019 4.734543 22621.0797 22702.4864
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate 11271.57545 11306.40830 2.3993275 2000-2009 –> 2010-2019 4.725329 22599.0218 22668.7989
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 11153.38009 11194.01842 2.3412824 2000-2009 –> 2010-2019 4.582324 22296.7758 22378.1824
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 11266.75826 11301.59111 2.3969737 2000-2009 –> 2010-2019 4.686134 22514.3752 22584.1524
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 18877.41191 18920.56746 3.5380357 2000-2009 –> 2010-2019 6.616079 34761.1829 34846.6576
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11251.24124 11291.87957 2.3884340 2000-2009 –> 2010-2019 4.677217 22500.0358 22581.4424
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 18831.27107 18874.42663 3.5148967 2000-2009 –> 2010-2019 6.594784 34718.7805 34804.2552
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star 11167.46241 11208.10073 2.3480098 2000-2009 –> 2010-2019 4.594657 22323.3506 22404.7573
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11317.51838 11358.15671 2.4209059 2000-2009 –> 2010-2019 4.744420 22641.6140 22723.0207
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 18832.24510 18875.40065 3.5153836 2000-2009 –> 2010-2019 6.603191 34735.7795 34821.2541
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + phosphate + phosphate_star 11270.33938 11305.17223 2.3987233 2000-2009 –> 2010-2019 4.689929 22522.4221 22592.1992
mod Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11257.98541 11298.62373 2.3917182 2000-2009 –> 2010-2019 4.682729 22511.6447 22593.0514
obs Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 18831.77294 18874.92850 3.5151476 2000-2009 –> 2010-2019 6.595383 34719.9874 34805.4621
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 18881.82404 18924.97960 3.5402563 2000-2009 –> 2010-2019 6.618184 34765.3608 34850.8354
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 18844.55350 18887.70906 3.5215421 2000-2009 –> 2010-2019 6.601478 34732.1606 34817.6352
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 18864.25713 18901.24761 3.5324278 2000-2009 –> 2010-2019 6.612393 34749.9228 34823.1868
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 18847.12876 18890.28431 3.5228320 2000-2009 –> 2010-2019 6.603122 34735.4533 34820.9280
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + nitrate + silicate + phosphate_star 18854.09383 18891.08431 3.5273261 2000-2009 –> 2010-2019 6.615406 34756.1798 34829.4438
obs Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 18863.34857 18900.33904 3.5319715 2000-2009 –> 2010-2019 6.612307 34749.7649 34823.0289
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou 13593.65774 13623.90008 2.1205348 2000-2009 –> 2010-2019 4.244760 26589.9389 26650.1948
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate_star 13563.40747 13599.69828 2.1096349 2000-2009 –> 2010-2019 4.168314 26374.3242 26446.6312
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate 13595.23869 13631.52951 2.1203928 2000-2009 –> 2010-2019 4.237724 26574.0879 26646.3949
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 26031.50667 26077.14938 3.2365666 2000-2009 –> 2010-2019 5.979903 47194.3735 47284.6698
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13564.64247 13606.98176 2.1093770 2000-2009 –> 2010-2019 4.162013 26359.9837 26444.3419
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 26032.65676 26078.29948 3.2369377 2000-2009 –> 2010-2019 5.990076 47226.5892 47316.8855
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate 13659.43900 13695.72981 2.1422577 2000-2009 –> 2010-2019 4.281124 26698.7819 26771.0888
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13642.77930 13685.11858 2.1358796 2000-2009 –> 2010-2019 4.230996 26560.5770 26644.9352
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 26033.51130 26079.15402 3.2372134 2000-2009 –> 2010-2019 5.998042 47251.7385 47342.0347
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + phosphate + phosphate_star 13569.03210 13605.32291 2.1115318 2000-2009 –> 2010-2019 4.173165 26388.5202 26460.8272
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 13647.30841 13683.59922 2.1381092 2000-2009 –> 2010-2019 4.281660 26699.7320 26772.0390
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13569.82876 13612.16804 2.1111259 2000-2009 –> 2010-2019 4.165977 26371.6184 26455.9765
obs Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 26033.11362 26078.75634 3.2370851 2000-2009 –> 2010-2019 5.991677 47231.6427 47321.9390
mod Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate_star 13641.50866 13677.79947 2.1361285 2000-2009 –> 2010-2019 4.231337 26557.5685 26629.8755
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 26029.15056 26074.79327 3.2358066 2000-2009 –> 2010-2019 5.978399 47189.6565 47279.9528
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 26035.75545 26081.39817 3.2379377 2000-2009 –> 2010-2019 5.990640 47228.3087 47318.6050
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 26031.82247 26070.94480 3.2373139 2000-2009 –> 2010-2019 5.980875 47193.4029 47270.7997
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 26035.83859 26074.96092 3.2386101 2000-2009 –> 2010-2019 5.991823 47228.0068 47305.4037
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 26036.21461 26081.85732 3.2380859 2000-2009 –> 2010-2019 5.991934 47232.3939 47322.6901
obs Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 26036.70191 26075.82424 3.2388888 2000-2009 –> 2010-2019 5.993510 47233.3249 47310.7217
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou 16788.39821 16819.96992 1.8893451 2000-2009 –> 2010-2019 3.892218 30544.7390 30606.7459
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 16721.73308 16759.61913 1.8735210 2000-2009 –> 2010-2019 3.704462 29896.3237 29970.7319
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 16706.69864 16744.58470 1.8700740 2000-2009 –> 2010-2019 3.867490 30447.2952 30521.7034
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 42456.50304 42505.65930 3.1335254 2000-2009 –> 2010-2019 5.979794 80046.1596 80143.8874
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 16574.84172 16619.04212 1.8396623 2000-2009 –> 2010-2019 3.642334 29650.2298 29737.0393
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 42514.29249 42563.44875 3.1444716 2000-2009 –> 2010-2019 6.025217 80287.4911 80385.2189
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + phosphate_star 16888.42448 16926.31053 1.9121675 2000-2009 –> 2010-2019 3.824780 30346.8498 30421.2580
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate 16730.12929 16768.01535 1.8754488 2000-2009 –> 2010-2019 3.924459 30636.5955 30711.0037
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 16603.05739 16647.25779 1.8460314 2000-2009 –> 2010-2019 3.687485 29816.8858 29903.6954
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 42518.39201 42567.54827 3.1452495 2000-2009 –> 2010-2019 6.011582 80215.1333 80312.8612
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 16725.00716 16762.89321 1.8742725 2000-2009 –> 2010-2019 3.707232 29906.7631 29981.1713
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 16576.66688 16620.86728 1.8400736 2000-2009 –> 2010-2019 3.644278 29657.5825 29744.3920
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 42511.04628 42560.20254 3.1438557 2000-2009 –> 2010-2019 6.025194 80287.3846 80385.1124
mod Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 16601.34530 16639.23135 1.8460965 2000-2009 –> 2010-2019 3.704661 29873.3304 29947.7386
obs Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 42523.02925 42565.16318 3.1465095 2000-2009 –> 2010-2019 6.027998 80298.1578 80381.9245
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 42568.60985 42617.76611 3.1547950 2000-2009 –> 2010-2019 6.000072 80152.9558 80250.6836
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 42680.58135 42729.73761 3.1761831 2000-2009 –> 2010-2019 6.051101 80422.9134 80520.6412
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate 42587.11945 42629.25339 3.1587018 2000-2009 –> 2010-2019 6.024950 80281.4119 80365.1786
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star 42682.18779 42731.34405 3.1764910 2000-2009 –> 2010-2019 6.049876 80416.3895 80514.1174
obs Indo-Pacific (27.95,28.05] cstar_tref ~ temp + nitrate + silicate + phosphate_star 42680.18893 42722.32286 3.1764912 2000-2009 –> 2010-2019 6.052821 80428.0056 80511.7723
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 40687.81077 40736.78647 3.0028555 2000-2009 –> 2010-2019 5.650113 68200.7753 68296.3461
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 40726.96874 40768.94790 3.0105180 2000-2009 –> 2010-2019 5.667438 68279.8134 68361.7311
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 40823.02008 40871.99577 3.0281013 2000-2009 –> 2010-2019 5.723719 68544.0646 68639.6353
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate 41011.72559 41060.70129 3.0636908 2000-2009 –> 2010-2019 5.748357 68685.9775 68781.5483
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 9172.10658 9206.60769 1.7393682 2000-2009 –> 2010-2019 3.459493 16727.4033 16795.2742
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 40715.77842 40764.75412 3.0080602 2000-2009 –> 2010-2019 5.637857 68152.6814 68248.2521
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 8727.53423 8767.78552 1.5798989 2000-2009 –> 2010-2019 3.162761 15964.9882 16044.1710
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 40837.19872 40886.17442 3.0307609 2000-2009 –> 2010-2019 5.685808 68383.9368 68479.5075
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 8716.48583 8756.73712 1.5761446 2000-2009 –> 2010-2019 3.158986 15953.8887 16033.0715
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 40935.12537 40984.10106 3.0491940 2000-2009 –> 2010-2019 5.711292 68512.3463 68607.9170
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 8855.97403 8890.47514 1.6249038 2000-2009 –> 2010-2019 3.438033 16613.7905 16681.6614
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 8725.96770 8766.21899 1.5793660 2000-2009 –> 2010-2019 3.162228 15963.4213 16042.6041
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 40816.56120 40865.53690 3.0268905 2000-2009 –> 2010-2019 5.679599 68353.1715 68448.7422
mod Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 8796.00569 8830.50680 1.6040562 2000-2009 –> 2010-2019 3.186920 16031.4633 16099.3342
obs Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 40970.69554 41012.67471 3.0562956 2000-2009 –> 2010-2019 5.718720 68547.3260 68629.2437
obs Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate 40964.57617 41013.55187 3.0547595 2000-2009 –> 2010-2019 5.711107 68516.9444 68612.5151
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate_star 9033.58084 9068.08194 1.6882509 2000-2009 –> 2010-2019 3.297384 16332.3445 16400.2154
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + nitrate + silicate + phosphate_star 9057.05161 9091.55271 1.6968049 2000-2009 –> 2010-2019 3.305474 16354.7064 16422.5773
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate + phosphate_star 9030.07157 9064.57268 1.6869756 2000-2009 –> 2010-2019 3.296086 16328.7793 16396.6502
mod Indo-Pacific (28.05,28.1] cstar_tref ~ temp + silicate + phosphate_star 9103.82444 9132.57536 1.7147192 2000-2009 –> 2010-2019 3.323856 16400.5960 16457.1551
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 29358.11657 29405.04112 2.7639536 2000-2009 –> 2010-2019 5.431674 56162.7357 56256.0501
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 18657.20674 18696.68211 1.3957481 2000-2009 –> 2010-2019 2.954663 36896.1002 36974.5477
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + aou + silicate + phosphate 29378.58690 29418.80794 2.7691133 2000-2009 –> 2010-2019 5.441458 56200.5342 56280.5180
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 29435.56616 29482.49071 2.7817787 2000-2009 –> 2010-2019 5.496020 56433.1555 56526.4699
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate 18776.91829 18809.81443 1.4118058 2000-2009 –> 2010-2019 3.016010 37294.0062 37359.3791
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 18769.88357 18809.35894 1.4106075 2000-2009 –> 2010-2019 3.000534 37201.5006 37279.9481
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + silicate + phosphate + phosphate_star 29469.08733 29509.30837 2.7899923 2000-2009 –> 2010-2019 5.512513 56498.6705 56578.6543
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate 29512.76652 29559.69107 2.7996608 2000-2009 –> 2010-2019 5.508841 56489.5237 56582.8381
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 17584.24913 17630.30373 1.2616251 2000-2009 –> 2010-2019 2.636761 34597.8601 34689.3822
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 29380.23204 29427.15659 2.7690318 2000-2009 –> 2010-2019 5.418722 56109.1551 56202.4695
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 17596.04409 17642.09869 1.2630245 2000-2009 –> 2010-2019 2.640056 34623.1335 34714.6556
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 29468.16844 29515.09299 2.7893164 2000-2009 –> 2010-2019 5.470268 56328.0101 56421.3245
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate 18529.44442 18568.91979 1.3790885 2000-2009 –> 2010-2019 2.987883 37076.4859 37154.9334
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17669.37290 17715.42750 1.2717591 2000-2009 –> 2010-2019 2.659109 34769.5044 34861.0265
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 29540.61914 29587.54368 2.8061405 2000-2009 –> 2010-2019 5.511034 56499.6971 56593.0115
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate 18298.36837 18337.84374 1.3494608 2000-2009 –> 2010-2019 2.906001 36522.3448 36600.7923
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 17592.39624 17638.45084 1.2625915 2000-2009 –> 2010-2019 2.639355 34617.5822 34709.1043
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 29451.62276 29498.54731 2.7854885 2000-2009 –> 2010-2019 5.460318 56285.9441 56379.2585
mod Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 17919.38962 17958.86499 1.3022412 2000-2009 –> 2010-2019 2.692710 35039.4885 35117.9360
obs Indo-Pacific (28.1,28.2] cstar_tref ~ sal + temp + silicate + phosphate_star 29569.62524 29609.84628 2.8133716 2000-2009 –> 2010-2019 5.530494 56577.0546 56657.0384
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star 10694.46598 10734.97765 2.2187096 2000-2009 –> 2010-2019 4.928130 17916.8354 17994.5022
obs Indo-Pacific (28.2,28.3] cstar_tref ~ aou + silicate + phosphate + phosphate_star 10706.95093 10741.67523 2.2253873 2000-2009 –> 2010-2019 4.934817 17927.3298 17993.9013
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star 10713.83574 10754.34742 2.2276437 2000-2009 –> 2010-2019 4.929689 17928.0716 18005.7384
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + phosphate + phosphate_star 10717.76086 10752.48515 2.2303838 2000-2009 –> 2010-2019 4.932476 17930.0481 17996.6196
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate 34433.00713 34478.44828 0.8009000 2000-2009 –> 2010-2019 1.661533 62765.7638 62855.1255
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 10704.29753 10744.80920 2.2232398 2000-2009 –> 2010-2019 4.909023 17900.5193 17978.1861
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + aou + silicate + phosphate_star 35923.69472 35969.13586 0.8435099 2000-2009 –> 2010-2019 1.762377 65717.8117 65807.1734
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + nitrate + silicate + phosphate_star 36525.57387 36571.01502 0.8613499 2000-2009 –> 2010-2019 1.817225 67201.0262 67290.3879
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + silicate + phosphate + phosphate_star 35474.81979 35520.26093 0.8304461 2000-2009 –> 2010-2019 1.732822 64864.7269 64954.0886
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + phosphate 10711.68046 10752.19214 2.2266478 2000-2009 –> 2010-2019 4.930381 17927.7798 18005.4466
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + nitrate + silicate 37231.88156 37284.89623 0.8827055 2000-2009 –> 2010-2019 1.873614 68712.7466 68817.0019
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + phosphate 10722.94008 10757.66437 2.2327817 2000-2009 –> 2010-2019 4.936515 17937.0396 18003.6112
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 33936.44538 33989.46005 0.7871349 2000-2009 –> 2010-2019 1.618037 61486.5302 61590.7855
obs Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate 10724.75714 10765.26881 2.2326970 2000-2009 –> 2010-2019 4.936171 17940.5698 18018.2366
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 33955.44250 34008.45717 0.7876551 2000-2009 –> 2010-2019 1.618860 61513.6531 61617.9084
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 34459.19138 34512.20605 0.8015738 2000-2009 –> 2010-2019 1.650524 62488.9023 62593.1576
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 33952.32353 34005.33820 0.7875696 2000-2009 –> 2010-2019 1.618737 61509.5115 61613.7669
mod Indo-Pacific (28.2,28.3] cstar_tref ~ sal + temp + silicate + phosphate_star 34872.43649 34917.87763 0.8132319 2000-2009 –> 2010-2019 1.667423 63037.5006 63126.8623
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star 10712.04027 10752.55194 2.2268141 2000-2009 –> 2010-2019 4.938850 17937.2883 18014.9551
obs Indo-Pacific (28.2,28.3] cstar_tref ~ temp + aou + phosphate + phosphate_star 10719.77089 10754.49518 2.2313141 2000-2009 –> 2010-2019 4.943568 17943.2586 18009.8301
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + phosphate + phosphate_star 17677.24148 17717.24033 1.1080652 2000-2009 –> 2010-2019 2.037371 30604.5122 30683.3680
mod Indo-Pacific (28.3,28.4] cstar_tref ~ aou + nitrate + silicate + phosphate_star 17786.86084 17826.85969 1.1185769 2000-2009 –> 2010-2019 2.071392 30953.9243 31032.7802
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate 4113.44082 4146.80416 2.5663650 2000-2009 –> 2010-2019 5.051400 6722.1976 6785.8189
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 17660.06945 17706.73477 1.1062369 2000-2009 –> 2010-2019 2.053589 30773.9340 30865.9324
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4098.30587 4131.66921 2.5440880 2000-2009 –> 2010-2019 5.024066 6704.7936 6768.4149
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate 4122.93805 4151.53520 2.5834180 2000-2009 –> 2010-2019 5.077683 6733.8250 6788.3576
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + aou + silicate + phosphate_star 4110.27119 4138.86834 2.5646365 2000-2009 –> 2010-2019 5.057608 6720.5803 6775.1128
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star 4104.82478 4138.18813 2.5536593 2000-2009 –> 2010-2019 5.033904 6711.4321 6775.0534
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + nitrate + silicate + phosphate_star 17902.81644 17942.81529 1.1298047 2000-2009 –> 2010-2019 2.110103 31342.8065 31421.6624
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4115.69990 4144.29705 2.5726690 2000-2009 –> 2010-2019 5.062993 6724.8252 6779.3577
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + nitrate + phosphate 17425.71468 17472.38001 1.0841307 2000-2009 –> 2010-2019 2.010182 30321.3144 30413.3129
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate 4113.43700 4146.80034 2.5663594 2000-2009 –> 2010-2019 5.059129 6725.6560 6789.2773
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4108.97908 4142.34243 2.5597776 2000-2009 –> 2010-2019 5.052048 6720.9748 6784.5961
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + phosphate 17427.58656 17467.58541 1.0844923 2000-2009 –> 2010-2019 2.054867 30769.9154 30848.7712
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate 4123.17509 4156.53843 2.5807958 2000-2009 –> 2010-2019 5.101669 6747.8832 6811.5045
mod Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 17809.12529 17855.79062 1.1205310 2000-2009 –> 2010-2019 2.092480 31169.0168 31261.0153
obs Indo-Pacific (28.3,28.4] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4111.19224 4144.55558 2.5630431 2000-2009 –> 2010-2019 5.053099 6722.1977 6785.8190
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate 17661.88430 17701.88315 1.1066005 2000-2009 –> 2010-2019 2.033193 30561.0890 30639.9449
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + aou + nitrate + phosphate_star 17689.73726 17729.73611 1.1092584 2000-2009 –> 2010-2019 2.040464 30636.6134 30715.4692
mod Indo-Pacific (28.3,28.4] cstar_tref ~ temp + nitrate + phosphate + phosphate_star 17665.10570 17705.10455 1.1069076 2000-2009 –> 2010-2019 2.034626 30575.9714 30654.8272

6.3 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

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

rm(eras_era, eras_forward, eras_backward)

6.4 Cant coeffcients

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

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

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

6.5 Write files

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


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

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

7 Model diagnotics

7.1 Selection criterion vs predictors

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

7.1.1 All models

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

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

7.1.2 Best models

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

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

7.2 RMSE correlation between eras

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

7.2.1 All models

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

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

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

7.2.2 Best models

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

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

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

7.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "data_source")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - mod
(-Inf,26] 5 6 5 8 10 9 6
(26,26.5] 7 7 7 7 6 7 9
(26.5,26.75] 6 7 7 7 6 6 10
(26.75,27] 8 4 8 5 5 10 7
(27,27.25] 8 5 3 5 8 10 7
(27.25,27.5] 6 5 3 5 9 9 8
(27.5,27.75] 6 2 6 6 10 5 8
(27.75,27.85] 5 4 4 6 10 10 6
(27.85,27.95] 5 4 4 6 10 10 6
(27.95,28.05] 4 2 4 8 10 5 10
(28.05,28.1] 9 1 4 5 6 6 10
(28.1,28.15] 10 2 5 3 7 6 9
(28.15,28.2] 5 9 1 5 6 6 9
(28.2, Inf] 6 9 1 4 8 7 7
total 90.00 67.00 62.00 80.00 111.00 106.00 112.00
Indo-Pacific - mod
(-Inf,26] 8 5 7 7 10 5 7
(26,26.5] 6 7 6 7 7 7 10
(26.5,26.75] 6 6 5 7 7 8 10
(26.75,27] 6 9 6 6 6 5 10
(27,27.25] 6 10 5 7 4 5 10
(27.25,27.5] 4 10 5 9 5 6 8
(27.5,27.75] 4 5 6 7 10 10 5
(27.75,27.85] 6 6 3 8 10 5 8
(27.85,27.95] 4 2 3 6 10 7 10
(27.95,28.05] 4 3 2 7 10 6 10
(28.05,28.1] 3 2 3 9 6 9 10
(28.1,28.2] 3 2 6 5 10 10 7
(28.2,28.3] 5 3 4 7 10 10 6
(28.3,28.4] 6 10 5 7 5 4 6
total 71.00 80.00 66.00 99.00 110.00 97.00 117.00
Atlantic - obs
(-Inf,26] 8 10 6 6 6 5 8
(26,26.5] 8 10 5 5 5 4 10
(26.5,26.75] 7 8 6 7 4 5 10
(26.75,27] 5 4 3 9 6 9 10
(27,27.25] 7 5 5 7 6 8 10
(27.25,27.5] 8 4 7 5 8 4 10
(27.5,27.75] 8 3 7 5 5 9 9
(27.75,27.85] 6 5 8 6 7 10 6
(27.85,27.95] 5 4 7 6 10 10 5
(27.95,28.05] 4 4 6 7 10 10 6
(28.05,28.1] 5 6 2 10 10 6 7
(28.1,28.15] 3 2 3 10 6 8 10
(28.15,28.2] 7 1 5 7 5 3 10
(28.2, Inf] 5 4 7 8 10 5 8
total 86.00 70.00 77.00 98.00 98.00 96.00 119.00
Indo-Pacific - obs
(-Inf,26] 6 7 6 6 8 5 10
(26,26.5] 5 5 5 7 10 5 10
(26.5,26.75] 5 5 6 7 10 4 10
(26.75,27] 6 9 6 6 6 6 9
(27,27.25] 6 5 6 7 10 9 4
(27.25,27.5] 6 5 7 6 10 9 5
(27.5,27.75] 7 5 6 5 8 8 9
(27.75,27.85] 5 5 5 8 4 10 10
(27.85,27.95] 6 4 6 7 4 10 10
(27.95,28.05] 5 5 5 7 5 10 10
(28.05,28.1] 6 5 7 5 9 9 7
(28.1,28.2] 5 4 7 6 10 9 6
(28.2,28.3] 10 4 10 7 6 4 5
(28.3,28.4] 6 4 7 6 10 10 4
total 84.00 72.00 89.00 90.00 110.00 108.00 109.00

7.4 RMSE alternatives

7.4.1 AIC

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

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

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

7.4.2 AIC vs BIC

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

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

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

7.5 RMSE vs VIF

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

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

7.6 Residual patterns

7.6.1 Fitted vs actual models

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

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

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

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

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

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

7.6.2 Pooled

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

i_ylim <- c(-30,30)

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

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

7.6.3 By model domain

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

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

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

7.6.4 Latitudinal mean

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

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

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

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

7.6.5 Latitudinal offset

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

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

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

8 VIF

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

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

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

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

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

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

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

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