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library(tidyverse)
library(lubridate)
library(patchwork)
library(GGally)
library(olsrr)
library(knitr)
library(kableExtra)
library(broom)
library(corrr)

1 Required data

Required are:

  • cleaned and prepared GLODAPv2.2020 file
GLODAP <-
  read_csv(
    here::here(
      "data/GLODAPv2_2020/_summarized_data_files",
      "GLODAP_MLR_fitting_ready.csv"
    )
  )

2 Model fitting

2.1 Predictor selection

Individual linear regression models were fitted for C* as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. The root mean squared error (RMSE) was calculated for each fitted model.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    print(i_basin) 
    print(i_era  )
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)

    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {

      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>% 
        filter(gamma_slab == i_gamma_slab)
      
      lm_full <- lm(Cstar ~ 
                sal  + 
                tem  + 
                aou  + 
                oxygen  + 
                silicate  + 
                phosphate  + 
                phosphate_star, 
              data = GLODAP_basin_era_slab)
      
      lm_all <- ols_step_all_possible(lm_full)
      
      temp <- as_tibble(lm_all$result)
      
      temp <- temp %>% 
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("all_lm_stats")) {
        all_lm_stats <- bind_rows(all_lm_stats, temp)
      }
      
      if (!exists("all_lm_stats")) {
        all_lm_stats <- temp
      }
      
      rm(lm_full, lm_all, temp)
      
    }
    
  }
  
}

all_lm_stats %>%
  write_csv(here::here("data/eMLR",
                       "all_lm_stats.csv"))

rm(i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   all_lm_stats)

RMSE was plotted against the number of predictors (limited to 2 - 5).

all_lm_stats <- read_csv(here::here("data/eMLR",
                                    "all_lm_stats.csv"))

# nrow(all_lm_stats)
# length(unique(all_lm_stats$rmse))
# length(unique(all_lm_stats$adjr))
# length(unique(all_lm_stats$rsquare))
# length(unique(all_lm_stats$cp))
# length(unique(all_lm_stats$aic))
# length(unique(all_lm_stats$mindex))

all_lm_stats <- all_lm_stats %>% 
  filter(n >= parameters$predictors_min,
         n <= parameters$predictors_max)

all_lm_stats %>% 
  ggplot(aes(n, rmse, col = basin)) +
  geom_hline(yintercept = 10) + 
  geom_point(shape = 21) +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1")

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

all_lm_stats %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(era~basin)

Within each basin and slab, the 10 linear regression models with lowest summed RMSE across all eras were selected.

all_lm_stats <- all_lm_stats %>%
  select(basin, era, gamma_slab, predictors, rmse)

all_lm_stats_wide <- all_lm_stats %>%
  pivot_wider(names_from = era,
              values_from = rmse,
              names_prefix = "rmse_")

all_lm_stats_wide <- all_lm_stats_wide %>%
  mutate(
    rmse_sum_JGOFS_GO = rmse_JGOFS_WOCE + rmse_GO_SHIP,
    rmse_sum_GO_new = rmse_GO_SHIP + rmse_new_era
  )

all_lm_stats <- all_lm_stats_wide %>%
  pivot_longer(
    c(rmse_sum_JGOFS_GO, rmse_sum_GO_new),
    names_to = "eras",
    values_to = "rmse_sum",
    names_prefix = "rmse_sum_"
  )

lm_best <- all_lm_stats %>%
  group_by(basin, gamma_slab, eras) %>%
  slice_min(order_by = rmse_sum,
            with_ties = FALSE,
            n = parameters$MLR_number) %>%
  ungroup() %>% 
  arrange(basin, gamma_slab, eras, predictors)

kable(lm_best) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab predictors rmse_JGOFS_WOCE rmse_GO_SHIP rmse_new_era eras rmse_sum
Atlantic (-Inf,26] sal aou oxygen silicate phosphate 7.367183 6.669551 2.819161 GO_new 9.488712
Atlantic (-Inf,26] sal aou oxygen silicate phosphate_star 7.367183 6.669551 2.819161 GO_new 9.488712
Atlantic (-Inf,26] sal aou silicate phosphate phosphate_star 7.367183 6.669551 2.819161 GO_new 9.488712
Atlantic (-Inf,26] sal tem aou oxygen phosphate 7.173663 6.639387 2.699587 GO_new 9.338974
Atlantic (-Inf,26] sal tem aou oxygen phosphate_star 7.173663 6.639387 2.699587 GO_new 9.338974
Atlantic (-Inf,26] sal tem aou phosphate phosphate_star 7.173663 6.639387 2.699587 GO_new 9.338974
Atlantic (-Inf,26] sal tem aou silicate phosphate 7.278011 6.732505 2.786012 GO_new 9.518517
Atlantic (-Inf,26] sal tem aou silicate phosphate_star 7.258007 6.738390 2.781099 GO_new 9.519489
Atlantic (-Inf,26] sal tem oxygen silicate phosphate_star 7.248967 6.745194 2.784042 GO_new 9.529236
Atlantic (-Inf,26] sal tem silicate phosphate phosphate_star 7.248967 6.745194 2.784042 GO_new 9.529236
Atlantic (-Inf,26] sal aou oxygen silicate phosphate 7.367183 6.669551 2.819161 JGOFS_GO 14.036734
Atlantic (-Inf,26] sal aou oxygen silicate phosphate_star 7.367183 6.669551 2.819161 JGOFS_GO 14.036734
Atlantic (-Inf,26] sal tem aou oxygen phosphate 7.173663 6.639387 2.699587 JGOFS_GO 13.813050
Atlantic (-Inf,26] sal tem aou oxygen phosphate_star 7.173663 6.639387 2.699587 JGOFS_GO 13.813050
Atlantic (-Inf,26] sal tem aou phosphate phosphate_star 7.173663 6.639387 2.699587 JGOFS_GO 13.813050
Atlantic (-Inf,26] sal tem aou silicate phosphate 7.278011 6.732505 2.786012 JGOFS_GO 14.010516
Atlantic (-Inf,26] sal tem aou silicate phosphate_star 7.258007 6.738390 2.781099 JGOFS_GO 13.996398
Atlantic (-Inf,26] sal tem oxygen silicate phosphate 7.248967 6.745194 2.784042 JGOFS_GO 13.994160
Atlantic (-Inf,26] sal tem oxygen silicate phosphate_star 7.248967 6.745194 2.784042 JGOFS_GO 13.994160
Atlantic (-Inf,26] sal tem silicate phosphate phosphate_star 7.248967 6.745194 2.784042 JGOFS_GO 13.994160
Atlantic (26,26.5] sal aou oxygen silicate phosphate 5.434466 7.405553 3.069029 GO_new 10.474582
Atlantic (26,26.5] sal aou oxygen silicate phosphate_star 5.434466 7.405553 3.069029 GO_new 10.474582
Atlantic (26,26.5] sal aou silicate phosphate phosphate_star 5.434466 7.405553 3.069029 GO_new 10.474582
Atlantic (26,26.5] sal tem aou oxygen phosphate 5.477425 7.346736 3.118023 GO_new 10.464759
Atlantic (26,26.5] sal tem aou oxygen phosphate_star 5.477425 7.346736 3.118023 GO_new 10.464759
Atlantic (26,26.5] sal tem aou phosphate phosphate_star 5.477425 7.346736 3.118023 GO_new 10.464759
Atlantic (26,26.5] sal tem aou silicate phosphate 5.461410 7.412711 3.074943 GO_new 10.487654
Atlantic (26,26.5] tem aou oxygen silicate phosphate 5.363554 7.360474 3.065512 GO_new 10.425986
Atlantic (26,26.5] tem aou oxygen silicate phosphate_star 5.363554 7.360474 3.065512 GO_new 10.425986
Atlantic (26,26.5] tem aou silicate phosphate phosphate_star 5.363554 7.360474 3.065512 GO_new 10.425986
Atlantic (26,26.5] sal aou oxygen silicate phosphate 5.434466 7.405553 3.069029 JGOFS_GO 12.840019
Atlantic (26,26.5] sal aou oxygen silicate phosphate_star 5.434466 7.405553 3.069029 JGOFS_GO 12.840019
Atlantic (26,26.5] sal aou silicate phosphate phosphate_star 5.434466 7.405553 3.069029 JGOFS_GO 12.840019
Atlantic (26,26.5] sal tem aou oxygen phosphate 5.477425 7.346736 3.118023 JGOFS_GO 12.824162
Atlantic (26,26.5] sal tem aou oxygen phosphate_star 5.477425 7.346736 3.118023 JGOFS_GO 12.824162
Atlantic (26,26.5] sal tem aou phosphate phosphate_star 5.477425 7.346736 3.118023 JGOFS_GO 12.824162
Atlantic (26,26.5] tem aou oxygen silicate phosphate 5.363554 7.360474 3.065512 JGOFS_GO 12.724027
Atlantic (26,26.5] tem aou oxygen silicate phosphate_star 5.363554 7.360474 3.065512 JGOFS_GO 12.724027
Atlantic (26,26.5] tem aou phosphate phosphate_star 5.478784 7.362490 3.142747 JGOFS_GO 12.841274
Atlantic (26,26.5] tem aou silicate phosphate phosphate_star 5.363554 7.360474 3.065512 JGOFS_GO 12.724027
Atlantic (26.5,26.75] sal tem aou oxygen phosphate 5.318827 6.182233 3.188366 GO_new 9.370599
Atlantic (26.5,26.75] sal tem aou oxygen phosphate_star 5.318827 6.182233 3.188366 GO_new 9.370599
Atlantic (26.5,26.75] sal tem aou phosphate phosphate_star 5.318827 6.182233 3.188366 GO_new 9.370599
Atlantic (26.5,26.75] sal tem aou silicate phosphate 5.080928 6.189493 3.157471 GO_new 9.346963
Atlantic (26.5,26.75] sal tem aou silicate phosphate_star 5.074249 6.162444 3.151326 GO_new 9.313769
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate 5.073639 6.161326 3.152137 GO_new 9.313462
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate_star 5.073639 6.161326 3.152137 GO_new 9.313462
Atlantic (26.5,26.75] sal tem silicate phosphate phosphate_star 5.073639 6.161326 3.152137 GO_new 9.313462
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate 5.153695 6.171505 3.261512 GO_new 9.433017
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate_star 5.153695 6.171505 3.261512 GO_new 9.433017
Atlantic (26.5,26.75] sal aou oxygen silicate phosphate 5.121400 6.278369 3.156785 JGOFS_GO 11.399769
Atlantic (26.5,26.75] sal aou oxygen silicate phosphate_star 5.121400 6.278369 3.156785 JGOFS_GO 11.399769
Atlantic (26.5,26.75] sal tem aou silicate phosphate 5.080928 6.189493 3.157471 JGOFS_GO 11.270421
Atlantic (26.5,26.75] sal tem aou silicate phosphate_star 5.074249 6.162444 3.151326 JGOFS_GO 11.236693
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate 5.073639 6.161326 3.152137 JGOFS_GO 11.234964
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate_star 5.073639 6.161326 3.152137 JGOFS_GO 11.234964
Atlantic (26.5,26.75] sal tem silicate phosphate phosphate_star 5.073639 6.161326 3.152137 JGOFS_GO 11.234964
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate 5.153695 6.171505 3.261512 JGOFS_GO 11.325200
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate_star 5.153695 6.171505 3.261512 JGOFS_GO 11.325200
Atlantic (26.5,26.75] tem aou silicate phosphate phosphate_star 5.153695 6.171505 3.261512 JGOFS_GO 11.325200
Atlantic (26.75,27] sal tem aou silicate phosphate 4.708472 5.279945 3.666486 GO_new 8.946431
Atlantic (26.75,27] sal tem aou silicate phosphate_star 4.688937 5.253248 3.665075 GO_new 8.918323
Atlantic (26.75,27] sal tem oxygen silicate phosphate 4.689137 5.255316 3.664798 GO_new 8.920113
Atlantic (26.75,27] sal tem oxygen silicate phosphate_star 4.689137 5.255316 3.664798 GO_new 8.920113
Atlantic (26.75,27] sal tem silicate phosphate phosphate_star 4.689137 5.255316 3.664798 GO_new 8.920113
Atlantic (26.75,27] tem aou oxygen silicate phosphate 4.802227 5.348802 3.665657 GO_new 9.014459
Atlantic (26.75,27] tem aou oxygen silicate phosphate_star 4.802227 5.348802 3.665657 GO_new 9.014459
Atlantic (26.75,27] tem aou silicate phosphate phosphate_star 4.802227 5.348802 3.665657 GO_new 9.014459
Atlantic (26.75,27] tem aou silicate phosphate_star 4.803550 5.355648 3.666312 GO_new 9.021960
Atlantic (26.75,27] tem oxygen silicate phosphate 4.803963 5.356851 3.666006 GO_new 9.022858
Atlantic (26.75,27] sal aou silicate phosphate phosphate_star 4.810239 5.344351 3.679790 JGOFS_GO 10.154590
Atlantic (26.75,27] sal tem aou silicate phosphate 4.708472 5.279945 3.666486 JGOFS_GO 9.988417
Atlantic (26.75,27] sal tem aou silicate phosphate_star 4.688937 5.253248 3.665075 JGOFS_GO 9.942185
Atlantic (26.75,27] sal tem oxygen silicate phosphate 4.689137 5.255316 3.664798 JGOFS_GO 9.944452
Atlantic (26.75,27] sal tem oxygen silicate phosphate_star 4.689137 5.255316 3.664798 JGOFS_GO 9.944452
Atlantic (26.75,27] sal tem silicate phosphate phosphate_star 4.689137 5.255316 3.664798 JGOFS_GO 9.944452
Atlantic (26.75,27] sal tem silicate phosphate_star 4.697648 5.324409 3.937664 JGOFS_GO 10.022058
Atlantic (26.75,27] tem aou oxygen silicate phosphate 4.802227 5.348802 3.665657 JGOFS_GO 10.151029
Atlantic (26.75,27] tem aou oxygen silicate phosphate_star 4.802227 5.348802 3.665657 JGOFS_GO 10.151029
Atlantic (26.75,27] tem aou silicate phosphate phosphate_star 4.802227 5.348802 3.665657 JGOFS_GO 10.151029
Atlantic (27,27.25] sal aou silicate phosphate phosphate_star 5.272709 5.715880 5.031411 GO_new 10.747292
Atlantic (27,27.25] sal tem aou silicate phosphate 5.078648 5.623468 5.051530 GO_new 10.674998
Atlantic (27,27.25] sal tem aou silicate phosphate_star 5.013740 5.583407 5.085420 GO_new 10.668827
Atlantic (27,27.25] sal tem oxygen silicate phosphate 5.018688 5.589122 5.077798 GO_new 10.666920
Atlantic (27,27.25] sal tem oxygen silicate phosphate_star 5.018688 5.589122 5.077798 GO_new 10.666920
Atlantic (27,27.25] sal tem silicate phosphate phosphate_star 5.018688 5.589122 5.077798 GO_new 10.666920
Atlantic (27,27.25] tem aou oxygen silicate phosphate 5.132734 5.610171 5.007417 GO_new 10.617588
Atlantic (27,27.25] tem aou oxygen silicate phosphate_star 5.132734 5.610171 5.007417 GO_new 10.617588
Atlantic (27,27.25] tem aou silicate phosphate 5.199454 5.645126 5.100418 GO_new 10.745543
Atlantic (27,27.25] tem aou silicate phosphate phosphate_star 5.132734 5.610171 5.007417 GO_new 10.617588
Atlantic (27,27.25] sal tem aou silicate phosphate 5.078648 5.623468 5.051530 JGOFS_GO 10.702117
Atlantic (27,27.25] sal tem aou silicate phosphate_star 5.013740 5.583407 5.085420 JGOFS_GO 10.597147
Atlantic (27,27.25] sal tem oxygen silicate phosphate 5.018688 5.589122 5.077798 JGOFS_GO 10.607810
Atlantic (27,27.25] sal tem oxygen silicate phosphate_star 5.018688 5.589122 5.077798 JGOFS_GO 10.607810
Atlantic (27,27.25] sal tem silicate phosphate phosphate_star 5.018688 5.589122 5.077798 JGOFS_GO 10.607810
Atlantic (27,27.25] tem aou oxygen silicate phosphate 5.132734 5.610171 5.007417 JGOFS_GO 10.742905
Atlantic (27,27.25] tem aou oxygen silicate phosphate_star 5.132734 5.610171 5.007417 JGOFS_GO 10.742905
Atlantic (27,27.25] tem aou silicate phosphate phosphate_star 5.132734 5.610171 5.007417 JGOFS_GO 10.742905
Atlantic (27,27.25] tem aou silicate phosphate_star 5.153233 5.614185 5.142494 JGOFS_GO 10.767419
Atlantic (27,27.25] tem oxygen silicate phosphate 5.156878 5.617843 5.133226 JGOFS_GO 10.774722
Atlantic (27.25,27.5] sal tem aou oxygen phosphate 4.685854 4.506963 3.523918 GO_new 8.030880
Atlantic (27.25,27.5] sal tem aou oxygen phosphate_star 4.685854 4.506963 3.523918 GO_new 8.030880
Atlantic (27.25,27.5] sal tem aou phosphate phosphate_star 4.685854 4.506963 3.523918 GO_new 8.030880
Atlantic (27.25,27.5] tem aou oxygen phosphate 4.776702 4.554342 3.528315 GO_new 8.082657
Atlantic (27.25,27.5] tem aou oxygen phosphate phosphate_star 4.776702 4.554342 3.528315 GO_new 8.082657
Atlantic (27.25,27.5] tem aou oxygen phosphate_star 4.776702 4.554342 3.528315 GO_new 8.082657
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate 4.708352 4.554250 3.467433 GO_new 8.021683
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate_star 4.708352 4.554250 3.467433 GO_new 8.021683
Atlantic (27.25,27.5] tem aou phosphate phosphate_star 4.776702 4.554342 3.528315 GO_new 8.082657
Atlantic (27.25,27.5] tem aou silicate phosphate phosphate_star 4.708352 4.554250 3.467433 GO_new 8.021683
Atlantic (27.25,27.5] sal tem aou oxygen phosphate 4.685854 4.506963 3.523918 JGOFS_GO 9.192816
Atlantic (27.25,27.5] sal tem aou oxygen phosphate_star 4.685854 4.506963 3.523918 JGOFS_GO 9.192816
Atlantic (27.25,27.5] sal tem aou phosphate phosphate_star 4.685854 4.506963 3.523918 JGOFS_GO 9.192816
Atlantic (27.25,27.5] sal tem aou silicate phosphate_star 4.761998 4.518766 3.948074 JGOFS_GO 9.280765
Atlantic (27.25,27.5] sal tem oxygen silicate phosphate 4.779166 4.504624 3.915107 JGOFS_GO 9.283789
Atlantic (27.25,27.5] sal tem oxygen silicate phosphate_star 4.779166 4.504624 3.915107 JGOFS_GO 9.283789
Atlantic (27.25,27.5] sal tem silicate phosphate phosphate_star 4.779166 4.504624 3.915107 JGOFS_GO 9.283789
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate 4.708352 4.554250 3.467433 JGOFS_GO 9.262602
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate_star 4.708352 4.554250 3.467433 JGOFS_GO 9.262602
Atlantic (27.25,27.5] tem aou silicate phosphate phosphate_star 4.708352 4.554250 3.467433 JGOFS_GO 9.262602
Atlantic (27.5,27.75] aou oxygen silicate phosphate 4.181349 4.384925 4.678199 GO_new 9.063125
Atlantic (27.5,27.75] aou oxygen silicate phosphate phosphate_star 4.181349 4.384925 4.678199 GO_new 9.063125
Atlantic (27.5,27.75] aou silicate phosphate phosphate_star 4.181349 4.384925 4.678199 GO_new 9.063125
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate 4.170632 4.369707 4.676151 GO_new 9.045858
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate_star 4.170632 4.369707 4.676151 GO_new 9.045858
Atlantic (27.5,27.75] sal aou silicate phosphate phosphate_star 4.170632 4.369707 4.676151 GO_new 9.045858
Atlantic (27.5,27.75] sal tem aou silicate phosphate 4.157749 4.384594 4.678127 GO_new 9.062721
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate 4.148689 4.355735 4.666207 GO_new 9.021941
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate_star 4.148689 4.355735 4.666207 GO_new 9.021941
Atlantic (27.5,27.75] tem aou silicate phosphate phosphate_star 4.148689 4.355735 4.666207 GO_new 9.021941
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate 4.170632 4.369707 4.676151 JGOFS_GO 8.540339
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate_star 4.170632 4.369707 4.676151 JGOFS_GO 8.540339
Atlantic (27.5,27.75] sal aou silicate phosphate phosphate_star 4.170632 4.369707 4.676151 JGOFS_GO 8.540339
Atlantic (27.5,27.75] sal tem aou silicate phosphate 4.157749 4.384594 4.678127 JGOFS_GO 8.542343
Atlantic (27.5,27.75] sal tem oxygen silicate phosphate 4.148971 4.399401 4.683535 JGOFS_GO 8.548373
Atlantic (27.5,27.75] sal tem oxygen silicate phosphate_star 4.148971 4.399401 4.683535 JGOFS_GO 8.548373
Atlantic (27.5,27.75] sal tem silicate phosphate phosphate_star 4.148971 4.399401 4.683535 JGOFS_GO 8.548373
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate 4.148689 4.355735 4.666207 JGOFS_GO 8.504424
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate_star 4.148689 4.355735 4.666207 JGOFS_GO 8.504424
Atlantic (27.5,27.75] tem aou silicate phosphate phosphate_star 4.148689 4.355735 4.666207 JGOFS_GO 8.504424
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate 4.113685 4.285353 7.686739 GO_new 11.972092
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate_star 4.113685 4.285353 7.686739 GO_new 11.972092
Atlantic (27.75,27.85] sal aou silicate phosphate phosphate_star 4.113685 4.285353 7.686739 GO_new 11.972092
Atlantic (27.75,27.85] sal oxygen silicate phosphate_star 4.121204 4.285377 7.689071 GO_new 11.974448
Atlantic (27.75,27.85] sal silicate phosphate phosphate_star 4.121204 4.285377 7.689071 GO_new 11.974448
Atlantic (27.75,27.85] sal tem aou silicate phosphate 4.114571 4.284915 7.687911 GO_new 11.972827
Atlantic (27.75,27.85] sal tem aou silicate phosphate_star 4.111828 4.289070 7.684140 GO_new 11.973210
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate 4.112834 4.285301 7.687608 GO_new 11.972910
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate_star 4.112834 4.285301 7.687608 GO_new 11.972910
Atlantic (27.75,27.85] sal tem silicate phosphate phosphate_star 4.112834 4.285301 7.687608 GO_new 11.972910
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate 4.113685 4.285353 7.686739 JGOFS_GO 8.399038
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate_star 4.113685 4.285353 7.686739 JGOFS_GO 8.399038
Atlantic (27.75,27.85] sal aou silicate phosphate phosphate_star 4.113685 4.285353 7.686739 JGOFS_GO 8.399038
Atlantic (27.75,27.85] sal oxygen silicate phosphate_star 4.121204 4.285377 7.689071 JGOFS_GO 8.406581
Atlantic (27.75,27.85] sal silicate phosphate phosphate_star 4.121204 4.285377 7.689071 JGOFS_GO 8.406581
Atlantic (27.75,27.85] sal tem aou silicate phosphate 4.114571 4.284915 7.687911 JGOFS_GO 8.399486
Atlantic (27.75,27.85] sal tem aou silicate phosphate_star 4.111828 4.289070 7.684140 JGOFS_GO 8.400899
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate 4.112834 4.285301 7.687608 JGOFS_GO 8.398135
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate_star 4.112834 4.285301 7.687608 JGOFS_GO 8.398135
Atlantic (27.75,27.85] sal tem silicate phosphate phosphate_star 4.112834 4.285301 7.687608 JGOFS_GO 8.398135
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate 3.733203 4.162374 5.126559 GO_new 9.288933
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate_star 3.733203 4.162374 5.126559 GO_new 9.288933
Atlantic (27.85,27.95] sal aou silicate phosphate phosphate_star 3.733203 4.162374 5.126559 GO_new 9.288933
Atlantic (27.85,27.95] sal aou silicate phosphate_star 3.733249 4.210578 5.172242 GO_new 9.382820
Atlantic (27.85,27.95] sal tem aou silicate phosphate 3.755350 4.186637 5.158031 GO_new 9.344668
Atlantic (27.85,27.95] sal tem aou silicate phosphate_star 3.732711 4.163977 5.135340 GO_new 9.299317
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate 3.744962 4.180818 5.155292 GO_new 9.336111
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate_star 3.744962 4.180818 5.155292 GO_new 9.336111
Atlantic (27.85,27.95] sal tem silicate phosphate 3.981432 4.271866 5.181192 GO_new 9.453058
Atlantic (27.85,27.95] sal tem silicate phosphate phosphate_star 3.744962 4.180818 5.155292 GO_new 9.336111
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate 3.733203 4.162374 5.126559 JGOFS_GO 7.895576
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate_star 3.733203 4.162374 5.126559 JGOFS_GO 7.895576
Atlantic (27.85,27.95] sal aou silicate phosphate phosphate_star 3.733203 4.162374 5.126559 JGOFS_GO 7.895576
Atlantic (27.85,27.95] sal aou silicate phosphate_star 3.733249 4.210578 5.172242 JGOFS_GO 7.943827
Atlantic (27.85,27.95] sal tem aou silicate phosphate 3.755350 4.186637 5.158031 JGOFS_GO 7.941987
Atlantic (27.85,27.95] sal tem aou silicate phosphate_star 3.732711 4.163977 5.135340 JGOFS_GO 7.896689
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate 3.744962 4.180818 5.155292 JGOFS_GO 7.925780
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate_star 3.744962 4.180818 5.155292 JGOFS_GO 7.925780
Atlantic (27.85,27.95] sal tem silicate phosphate 3.981432 4.271866 5.181192 JGOFS_GO 8.253298
Atlantic (27.85,27.95] sal tem silicate phosphate phosphate_star 3.744962 4.180818 5.155292 JGOFS_GO 7.925780
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate 3.487770 4.308349 5.366509 GO_new 9.674857
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate_star 3.487770 4.308349 5.366509 GO_new 9.674857
Atlantic (27.95,28.05] sal aou silicate phosphate phosphate_star 3.487770 4.308349 5.366509 GO_new 9.674857
Atlantic (27.95,28.05] sal aou silicate phosphate_star 3.487779 4.313489 5.385656 GO_new 9.699144
Atlantic (27.95,28.05] sal tem aou oxygen phosphate 3.755336 4.353971 4.677615 GO_new 9.031586
Atlantic (27.95,28.05] sal tem aou oxygen phosphate_star 3.755336 4.353971 4.677615 GO_new 9.031586
Atlantic (27.95,28.05] sal tem aou phosphate phosphate_star 3.755336 4.353971 4.677615 GO_new 9.031586
Atlantic (27.95,28.05] sal tem aou silicate phosphate_star 3.487662 4.299678 5.385502 GO_new 9.685180
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate 3.498901 4.330126 5.481394 GO_new 9.811519
Atlantic (27.95,28.05] sal tem silicate phosphate phosphate_star 3.498901 4.330126 5.481394 GO_new 9.811519
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate 3.487770 4.308349 5.366509 JGOFS_GO 7.796119
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate_star 3.487770 4.308349 5.366509 JGOFS_GO 7.796119
Atlantic (27.95,28.05] sal aou silicate phosphate phosphate_star 3.487770 4.308349 5.366509 JGOFS_GO 7.796119
Atlantic (27.95,28.05] sal aou silicate phosphate_star 3.487779 4.313489 5.385656 JGOFS_GO 7.801268
Atlantic (27.95,28.05] sal oxygen silicate phosphate_star 3.570686 4.354920 5.524972 JGOFS_GO 7.925607
Atlantic (27.95,28.05] sal tem aou silicate phosphate 3.508118 4.354175 5.504209 JGOFS_GO 7.862294
Atlantic (27.95,28.05] sal tem aou silicate phosphate_star 3.487662 4.299678 5.385502 JGOFS_GO 7.787340
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate 3.498901 4.330126 5.481394 JGOFS_GO 7.829027
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate_star 3.498901 4.330126 5.481394 JGOFS_GO 7.829027
Atlantic (27.95,28.05] sal tem silicate phosphate phosphate_star 3.498901 4.330126 5.481394 JGOFS_GO 7.829027
Atlantic (28.05,28.1] sal tem aou oxygen phosphate 3.539499 4.204534 4.630652 GO_new 8.835185
Atlantic (28.05,28.1] sal tem aou oxygen phosphate_star 3.539499 4.204534 4.630652 GO_new 8.835185
Atlantic (28.05,28.1] sal tem aou phosphate phosphate_star 3.539499 4.204534 4.630652 GO_new 8.835185
Atlantic (28.05,28.1] tem aou oxygen phosphate 3.737933 4.326767 4.638593 GO_new 8.965360
Atlantic (28.05,28.1] tem aou oxygen phosphate phosphate_star 3.737933 4.326767 4.638593 GO_new 8.965360
Atlantic (28.05,28.1] tem aou oxygen phosphate_star 3.737933 4.326767 4.638593 GO_new 8.965360
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate 3.643192 4.179970 4.630074 GO_new 8.810044
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate_star 3.643192 4.179970 4.630074 GO_new 8.810044
Atlantic (28.05,28.1] tem aou phosphate phosphate_star 3.737933 4.326767 4.638593 GO_new 8.965360
Atlantic (28.05,28.1] tem aou silicate phosphate phosphate_star 3.643192 4.179970 4.630074 GO_new 8.810044
Atlantic (28.05,28.1] sal tem aou oxygen phosphate 3.539499 4.204534 4.630652 JGOFS_GO 7.744033
Atlantic (28.05,28.1] sal tem aou oxygen phosphate_star 3.539499 4.204534 4.630652 JGOFS_GO 7.744033
Atlantic (28.05,28.1] sal tem aou phosphate phosphate_star 3.539499 4.204534 4.630652 JGOFS_GO 7.744033
Atlantic (28.05,28.1] sal tem aou silicate phosphate_star 3.518913 4.334649 5.077667 JGOFS_GO 7.853562
Atlantic (28.05,28.1] sal tem oxygen silicate phosphate 3.531111 4.393917 5.124357 JGOFS_GO 7.925028
Atlantic (28.05,28.1] sal tem oxygen silicate phosphate_star 3.531111 4.393917 5.124357 JGOFS_GO 7.925028
Atlantic (28.05,28.1] sal tem silicate phosphate phosphate_star 3.531111 4.393917 5.124357 JGOFS_GO 7.925028
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate 3.643192 4.179970 4.630074 JGOFS_GO 7.823162
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate_star 3.643192 4.179970 4.630074 JGOFS_GO 7.823162
Atlantic (28.05,28.1] tem aou silicate phosphate phosphate_star 3.643192 4.179970 4.630074 JGOFS_GO 7.823162
Atlantic (28.1,28.15] sal tem aou oxygen phosphate 3.453382 3.943365 4.691597 GO_new 8.634961
Atlantic (28.1,28.15] sal tem aou oxygen phosphate_star 3.453382 3.943365 4.691597 GO_new 8.634961
Atlantic (28.1,28.15] sal tem aou phosphate phosphate_star 3.453382 3.943365 4.691597 GO_new 8.634961
Atlantic (28.1,28.15] sal tem aou silicate phosphate_star 3.341455 3.923614 4.732891 GO_new 8.656505
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate 3.349985 3.934786 4.738195 GO_new 8.672981
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate_star 3.349985 3.934786 4.738195 GO_new 8.672981
Atlantic (28.1,28.15] sal tem silicate phosphate phosphate_star 3.349985 3.934786 4.738195 GO_new 8.672981
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate 3.434468 3.944928 4.715162 GO_new 8.660090
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate_star 3.434468 3.944928 4.715162 GO_new 8.660090
Atlantic (28.1,28.15] tem aou silicate phosphate phosphate_star 3.434468 3.944928 4.715162 GO_new 8.660090
Atlantic (28.1,28.15] sal tem aou oxygen phosphate 3.453382 3.943365 4.691597 JGOFS_GO 7.396747
Atlantic (28.1,28.15] sal tem aou phosphate phosphate_star 3.453382 3.943365 4.691597 JGOFS_GO 7.396747
Atlantic (28.1,28.15] sal tem aou silicate phosphate_star 3.341455 3.923614 4.732891 JGOFS_GO 7.265069
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate 3.349985 3.934786 4.738195 JGOFS_GO 7.284771
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate_star 3.349985 3.934786 4.738195 JGOFS_GO 7.284771
Atlantic (28.1,28.15] sal tem silicate phosphate phosphate_star 3.349985 3.934786 4.738195 JGOFS_GO 7.284771
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate 3.434468 3.944928 4.715162 JGOFS_GO 7.379396
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate_star 3.434468 3.944928 4.715162 JGOFS_GO 7.379396
Atlantic (28.1,28.15] tem aou silicate phosphate phosphate_star 3.434468 3.944928 4.715162 JGOFS_GO 7.379396
Atlantic (28.1,28.15] tem aou silicate phosphate_star 3.436151 3.956434 4.793801 JGOFS_GO 7.392585
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate 3.726384 3.637891 3.023471 GO_new 6.661362
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate_star 3.726384 3.637891 3.023471 GO_new 6.661362
Atlantic (28.15,28.2] sal aou silicate phosphate phosphate_star 3.726384 3.637891 3.023471 GO_new 6.661362
Atlantic (28.15,28.2] sal tem aou oxygen phosphate 3.726099 3.629154 3.004142 GO_new 6.633295
Atlantic (28.15,28.2] sal tem aou oxygen phosphate_star 3.726099 3.629154 3.004142 GO_new 6.633295
Atlantic (28.15,28.2] sal tem aou phosphate 3.741007 3.656291 3.004525 GO_new 6.660816
Atlantic (28.15,28.2] sal tem aou phosphate phosphate_star 3.726099 3.629154 3.004142 GO_new 6.633295
Atlantic (28.15,28.2] sal tem aou silicate phosphate 3.739605 3.638041 2.989969 GO_new 6.628010
Atlantic (28.15,28.2] sal tem oxygen silicate phosphate_star 3.770684 3.671003 2.995966 GO_new 6.666968
Atlantic (28.15,28.2] sal tem silicate phosphate phosphate_star 3.770684 3.671003 2.995966 GO_new 6.666968
Atlantic (28.15,28.2] sal aou oxygen phosphate 3.727404 3.639684 3.100446 JGOFS_GO 7.367088
Atlantic (28.15,28.2] sal aou oxygen phosphate phosphate_star 3.727404 3.639684 3.100446 JGOFS_GO 7.367088
Atlantic (28.15,28.2] sal aou oxygen phosphate_star 3.727404 3.639684 3.100446 JGOFS_GO 7.367088
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate 3.726384 3.637891 3.023471 JGOFS_GO 7.364276
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate_star 3.726384 3.637891 3.023471 JGOFS_GO 7.364276
Atlantic (28.15,28.2] sal aou phosphate phosphate_star 3.727404 3.639684 3.100446 JGOFS_GO 7.367088
Atlantic (28.15,28.2] sal aou silicate phosphate phosphate_star 3.726384 3.637891 3.023471 JGOFS_GO 7.364276
Atlantic (28.15,28.2] sal tem aou oxygen phosphate 3.726099 3.629154 3.004142 JGOFS_GO 7.355253
Atlantic (28.15,28.2] sal tem aou oxygen phosphate_star 3.726099 3.629154 3.004142 JGOFS_GO 7.355253
Atlantic (28.15,28.2] sal tem aou phosphate phosphate_star 3.726099 3.629154 3.004142 JGOFS_GO 7.355253
Atlantic (28.2, Inf] sal tem aou oxygen phosphate 3.522234 3.173511 3.190100 GO_new 6.363611
Atlantic (28.2, Inf] sal tem aou oxygen phosphate_star 3.522234 3.173511 3.190100 GO_new 6.363611
Atlantic (28.2, Inf] sal tem aou phosphate phosphate_star 3.522234 3.173511 3.190100 GO_new 6.363611
Atlantic (28.2, Inf] sal tem aou phosphate_star 3.678022 3.187744 3.267841 GO_new 6.455585
Atlantic (28.2, Inf] sal tem aou silicate phosphate_star 3.587315 3.154838 3.266541 GO_new 6.421379
Atlantic (28.2, Inf] sal tem oxygen phosphate_star 3.651581 3.173715 3.346153 GO_new 6.519868
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate 3.544433 3.152200 3.338683 GO_new 6.490883
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate_star 3.544433 3.152200 3.338683 GO_new 6.490883
Atlantic (28.2, Inf] sal tem phosphate phosphate_star 3.651581 3.173715 3.346153 GO_new 6.519868
Atlantic (28.2, Inf] sal tem silicate phosphate phosphate_star 3.544433 3.152200 3.338683 GO_new 6.490883
Atlantic (28.2, Inf] sal aou oxygen silicate phosphate 3.487877 3.158126 3.393186 JGOFS_GO 6.646004
Atlantic (28.2, Inf] sal aou oxygen silicate phosphate_star 3.487877 3.158126 3.393186 JGOFS_GO 6.646004
Atlantic (28.2, Inf] sal aou silicate phosphate phosphate_star 3.487877 3.158126 3.393186 JGOFS_GO 6.646004
Atlantic (28.2, Inf] sal tem aou oxygen phosphate 3.522234 3.173511 3.190100 JGOFS_GO 6.695745
Atlantic (28.2, Inf] sal tem aou oxygen phosphate_star 3.522234 3.173511 3.190100 JGOFS_GO 6.695745
Atlantic (28.2, Inf] sal tem aou phosphate phosphate_star 3.522234 3.173511 3.190100 JGOFS_GO 6.695745
Atlantic (28.2, Inf] sal tem aou silicate phosphate 3.499887 3.184788 3.462424 JGOFS_GO 6.684675
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate 3.544433 3.152200 3.338683 JGOFS_GO 6.696633
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate_star 3.544433 3.152200 3.338683 JGOFS_GO 6.696633
Atlantic (28.2, Inf] sal tem silicate phosphate phosphate_star 3.544433 3.152200 3.338683 JGOFS_GO 6.696633
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate 11.589172 7.158929 5.649148 GO_new 12.808077
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate_star 11.589172 7.158929 5.649148 GO_new 12.808077
Indo-Pacific (-Inf,26] sal aou silicate phosphate phosphate_star 11.589172 7.158929 5.649148 GO_new 12.808077
Indo-Pacific (-Inf,26] sal tem aou phosphate phosphate_star 11.835399 7.592149 6.001991 GO_new 13.594141
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate 11.658578 7.235892 5.852129 GO_new 13.088021
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate_star 11.697195 7.279661 5.932601 GO_new 13.212261
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate 11.696367 7.284738 5.952533 GO_new 13.237271
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate_star 11.696367 7.284738 5.952533 GO_new 13.237271
Indo-Pacific (-Inf,26] sal tem silicate phosphate phosphate_star 11.696367 7.284738 5.952533 GO_new 13.237271
Indo-Pacific (-Inf,26] sal tem silicate phosphate_star 11.698153 7.311075 6.086066 GO_new 13.397141
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate 11.589172 7.158929 5.649148 JGOFS_GO 18.748101
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate_star 11.589172 7.158929 5.649148 JGOFS_GO 18.748101
Indo-Pacific (-Inf,26] sal aou silicate phosphate phosphate_star 11.589172 7.158929 5.649148 JGOFS_GO 18.748101
Indo-Pacific (-Inf,26] sal tem aou phosphate phosphate_star 11.835399 7.592149 6.001991 JGOFS_GO 19.427548
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate 11.658578 7.235892 5.852129 JGOFS_GO 18.894470
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate_star 11.697195 7.279661 5.932601 JGOFS_GO 18.976856
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate 11.696367 7.284738 5.952533 JGOFS_GO 18.981104
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate_star 11.696367 7.284738 5.952533 JGOFS_GO 18.981104
Indo-Pacific (-Inf,26] sal tem silicate phosphate phosphate_star 11.696367 7.284738 5.952533 JGOFS_GO 18.981104
Indo-Pacific (-Inf,26] sal tem silicate phosphate_star 11.698153 7.311075 6.086066 JGOFS_GO 19.009228
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate 7.855393 5.185799 3.976710 GO_new 9.162509
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate_star 7.855393 5.185799 3.976710 GO_new 9.162509
Indo-Pacific (26,26.5] sal aou silicate phosphate phosphate_star 7.855393 5.185799 3.976710 GO_new 9.162509
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate 7.962543 5.283401 4.258474 GO_new 9.541875
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate_star 7.962543 5.283401 4.258474 GO_new 9.541875
Indo-Pacific (26,26.5] sal tem aou silicate phosphate 7.929705 5.143958 4.051154 GO_new 9.195112
Indo-Pacific (26,26.5] sal tem aou silicate phosphate_star 7.976306 5.156206 4.101030 GO_new 9.257236
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate 7.966619 5.153265 4.088387 GO_new 9.241652
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate_star 7.966619 5.153265 4.088387 GO_new 9.241652
Indo-Pacific (26,26.5] sal tem silicate phosphate phosphate_star 7.966619 5.153265 4.088387 GO_new 9.241652
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate 7.855393 5.185799 3.976710 JGOFS_GO 13.041193
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate_star 7.855393 5.185799 3.976710 JGOFS_GO 13.041193
Indo-Pacific (26,26.5] sal aou silicate phosphate phosphate_star 7.855393 5.185799 3.976710 JGOFS_GO 13.041193
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate 7.962543 5.283401 4.258474 JGOFS_GO 13.245944
Indo-Pacific (26,26.5] sal tem aou phosphate phosphate_star 7.962543 5.283401 4.258474 JGOFS_GO 13.245944
Indo-Pacific (26,26.5] sal tem aou silicate phosphate 7.929705 5.143958 4.051154 JGOFS_GO 13.073663
Indo-Pacific (26,26.5] sal tem aou silicate phosphate_star 7.976306 5.156206 4.101030 JGOFS_GO 13.132512
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate 7.966619 5.153265 4.088387 JGOFS_GO 13.119885
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate_star 7.966619 5.153265 4.088387 JGOFS_GO 13.119885
Indo-Pacific (26,26.5] sal tem silicate phosphate phosphate_star 7.966619 5.153265 4.088387 JGOFS_GO 13.119885
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate 5.972964 5.696797 4.631952 GO_new 10.328749
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate phosphate_star 5.972964 5.696797 4.631952 GO_new 10.328749
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate_star 5.972964 5.696797 4.631952 GO_new 10.328749
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate 5.889764 5.691859 4.563197 GO_new 10.255056
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate_star 5.889764 5.691859 4.563197 GO_new 10.255056
Indo-Pacific (26.5,26.75] sal aou phosphate phosphate_star 5.972964 5.696797 4.631952 GO_new 10.328749
Indo-Pacific (26.5,26.75] sal aou silicate phosphate phosphate_star 5.889764 5.691859 4.563197 GO_new 10.255056
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate 5.970854 5.696790 4.615782 GO_new 10.312572
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate_star 5.970854 5.696790 4.615782 GO_new 10.312572
Indo-Pacific (26.5,26.75] sal tem aou phosphate phosphate_star 5.970854 5.696790 4.615782 GO_new 10.312572
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate 5.972964 5.696797 4.631952 JGOFS_GO 11.669761
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate phosphate_star 5.972964 5.696797 4.631952 JGOFS_GO 11.669761
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate_star 5.972964 5.696797 4.631952 JGOFS_GO 11.669761
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate 5.889764 5.691859 4.563197 JGOFS_GO 11.581623
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate_star 5.889764 5.691859 4.563197 JGOFS_GO 11.581623
Indo-Pacific (26.5,26.75] sal aou phosphate phosphate_star 5.972964 5.696797 4.631952 JGOFS_GO 11.669761
Indo-Pacific (26.5,26.75] sal aou silicate phosphate phosphate_star 5.889764 5.691859 4.563197 JGOFS_GO 11.581623
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate 5.970854 5.696790 4.615782 JGOFS_GO 11.667644
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate_star 5.970854 5.696790 4.615782 JGOFS_GO 11.667644
Indo-Pacific (26.5,26.75] sal tem aou phosphate phosphate_star 5.970854 5.696790 4.615782 JGOFS_GO 11.667644
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate 6.516743 5.021419 4.250318 GO_new 9.271737
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate_star 6.516743 5.021419 4.250318 GO_new 9.271737
Indo-Pacific (26.75,27] sal tem aou phosphate phosphate_star 6.516743 5.021419 4.250318 GO_new 9.271737
Indo-Pacific (26.75,27] tem aou oxygen phosphate 6.520101 5.023021 4.264277 GO_new 9.287298
Indo-Pacific (26.75,27] tem aou oxygen phosphate phosphate_star 6.520101 5.023021 4.264277 GO_new 9.287298
Indo-Pacific (26.75,27] tem aou oxygen phosphate_star 6.520101 5.023021 4.264277 GO_new 9.287298
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate 6.492756 4.983055 4.235837 GO_new 9.218892
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate_star 6.492756 4.983055 4.235837 GO_new 9.218892
Indo-Pacific (26.75,27] tem aou phosphate phosphate_star 6.520101 5.023021 4.264277 GO_new 9.287298
Indo-Pacific (26.75,27] tem aou silicate phosphate phosphate_star 6.492756 4.983055 4.235837 GO_new 9.218892
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate 6.516743 5.021419 4.250318 JGOFS_GO 11.538162
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate_star 6.516743 5.021419 4.250318 JGOFS_GO 11.538162
Indo-Pacific (26.75,27] sal tem aou phosphate phosphate_star 6.516743 5.021419 4.250318 JGOFS_GO 11.538162
Indo-Pacific (26.75,27] tem aou oxygen phosphate 6.520101 5.023021 4.264277 JGOFS_GO 11.543122
Indo-Pacific (26.75,27] tem aou oxygen phosphate phosphate_star 6.520101 5.023021 4.264277 JGOFS_GO 11.543122
Indo-Pacific (26.75,27] tem aou oxygen phosphate_star 6.520101 5.023021 4.264277 JGOFS_GO 11.543122
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate 6.492756 4.983055 4.235837 JGOFS_GO 11.475811
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate_star 6.492756 4.983055 4.235837 JGOFS_GO 11.475811
Indo-Pacific (26.75,27] tem aou phosphate phosphate_star 6.520101 5.023021 4.264277 JGOFS_GO 11.543122
Indo-Pacific (26.75,27] tem aou silicate phosphate phosphate_star 6.492756 4.983055 4.235837 JGOFS_GO 11.475811
Indo-Pacific (27,27.25] sal aou oxygen silicate phosphate 6.377139 4.610352 4.154787 GO_new 8.765140
Indo-Pacific (27,27.25] sal aou oxygen silicate phosphate_star 6.377139 4.610352 4.154787 GO_new 8.765140
Indo-Pacific (27,27.25] sal aou silicate phosphate phosphate_star 6.377139 4.610352 4.154787 GO_new 8.765140
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate 5.996869 4.633139 4.167623 GO_new 8.800762
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate_star 5.996869 4.633139 4.167623 GO_new 8.800762
Indo-Pacific (27,27.25] sal tem aou phosphate phosphate_star 5.996869 4.633139 4.167623 GO_new 8.800762
Indo-Pacific (27,27.25] sal tem aou silicate phosphate 6.492264 4.620740 4.179057 GO_new 8.799797
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate 5.981049 4.537003 4.124776 GO_new 8.661779
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate_star 5.981049 4.537003 4.124776 GO_new 8.661779
Indo-Pacific (27,27.25] tem aou silicate phosphate phosphate_star 5.981049 4.537003 4.124776 GO_new 8.661779
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate 5.996869 4.633139 4.167623 JGOFS_GO 10.630008
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate_star 5.996869 4.633139 4.167623 JGOFS_GO 10.630008
Indo-Pacific (27,27.25] sal tem aou phosphate phosphate_star 5.996869 4.633139 4.167623 JGOFS_GO 10.630008
Indo-Pacific (27,27.25] tem aou oxygen phosphate 6.024170 4.748844 4.304139 JGOFS_GO 10.773014
Indo-Pacific (27,27.25] tem aou oxygen phosphate phosphate_star 6.024170 4.748844 4.304139 JGOFS_GO 10.773014
Indo-Pacific (27,27.25] tem aou oxygen phosphate_star 6.024170 4.748844 4.304139 JGOFS_GO 10.773014
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate 5.981049 4.537003 4.124776 JGOFS_GO 10.518052
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate_star 5.981049 4.537003 4.124776 JGOFS_GO 10.518052
Indo-Pacific (27,27.25] tem aou phosphate phosphate_star 6.024170 4.748844 4.304139 JGOFS_GO 10.773014
Indo-Pacific (27,27.25] tem aou silicate phosphate phosphate_star 5.981049 4.537003 4.124776 JGOFS_GO 10.518052
Indo-Pacific (27.25,27.5] sal aou oxygen silicate phosphate 5.216429 4.136611 3.512906 GO_new 7.649517
Indo-Pacific (27.25,27.5] sal aou oxygen silicate phosphate_star 5.216429 4.136611 3.512906 GO_new 7.649517
Indo-Pacific (27.25,27.5] sal aou silicate phosphate phosphate_star 5.216429 4.136611 3.512906 GO_new 7.649517
Indo-Pacific (27.25,27.5] sal tem aou silicate phosphate 5.541110 4.185755 3.535978 GO_new 7.721733
Indo-Pacific (27.25,27.5] sal tem oxygen silicate phosphate 5.764252 4.233532 3.556430 GO_new 7.789962
Indo-Pacific (27.25,27.5] sal tem oxygen silicate phosphate_star 5.764252 4.233532 3.556430 GO_new 7.789962
Indo-Pacific (27.25,27.5] sal tem silicate phosphate phosphate_star 5.764252 4.233532 3.556430 GO_new 7.789962
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate 4.804957 3.986913 3.603040 GO_new 7.589953
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate_star 4.804957 3.986913 3.603040 GO_new 7.589953
Indo-Pacific (27.25,27.5] tem aou silicate phosphate phosphate_star 4.804957 3.986913 3.603040 GO_new 7.589953
Indo-Pacific (27.25,27.5] sal tem aou oxygen phosphate 4.831746 4.162230 3.629966 JGOFS_GO 8.993977
Indo-Pacific (27.25,27.5] sal tem aou oxygen phosphate_star 4.831746 4.162230 3.629966 JGOFS_GO 8.993977
Indo-Pacific (27.25,27.5] sal tem aou phosphate phosphate_star 4.831746 4.162230 3.629966 JGOFS_GO 8.993977
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate 4.835593 4.192637 3.734596 JGOFS_GO 9.028231
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate phosphate_star 4.835593 4.192637 3.734596 JGOFS_GO 9.028231
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate_star 4.835593 4.192637 3.734596 JGOFS_GO 9.028231
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate 4.804957 3.986913 3.603040 JGOFS_GO 8.791870
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate_star 4.804957 3.986913 3.603040 JGOFS_GO 8.791870
Indo-Pacific (27.25,27.5] tem aou phosphate phosphate_star 4.835593 4.192637 3.734596 JGOFS_GO 9.028231
Indo-Pacific (27.25,27.5] tem aou silicate phosphate phosphate_star 4.804957 3.986913 3.603040 JGOFS_GO 8.791870
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate 4.409996 4.005957 3.525039 GO_new 7.530996
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate_star 4.409996 4.005957 3.525039 GO_new 7.530996
Indo-Pacific (27.5,27.75] sal tem aou phosphate phosphate_star 4.409996 4.005957 3.525039 GO_new 7.530996
Indo-Pacific (27.5,27.75] sal tem aou silicate phosphate 4.822537 4.035117 3.627796 GO_new 7.662913
Indo-Pacific (27.5,27.75] sal tem aou silicate phosphate_star 4.952600 4.089199 3.560809 GO_new 7.650008
Indo-Pacific (27.5,27.75] sal tem oxygen phosphate_star 4.957364 4.095366 3.574533 GO_new 7.669899
Indo-Pacific (27.5,27.75] sal tem oxygen silicate phosphate 4.949934 4.083693 3.565430 GO_new 7.649123
Indo-Pacific (27.5,27.75] sal tem oxygen silicate phosphate_star 4.949934 4.083693 3.565430 GO_new 7.649123
Indo-Pacific (27.5,27.75] sal tem phosphate phosphate_star 4.957364 4.095366 3.574533 GO_new 7.669899
Indo-Pacific (27.5,27.75] sal tem silicate phosphate phosphate_star 4.949934 4.083693 3.565430 GO_new 7.649123
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate 4.409996 4.005957 3.525039 JGOFS_GO 8.415953
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate_star 4.409996 4.005957 3.525039 JGOFS_GO 8.415953
Indo-Pacific (27.5,27.75] sal tem aou phosphate phosphate_star 4.409996 4.005957 3.525039 JGOFS_GO 8.415953
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate 4.410507 4.074666 3.760424 JGOFS_GO 8.485173
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate phosphate_star 4.410507 4.074666 3.760424 JGOFS_GO 8.485173
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate_star 4.410507 4.074666 3.760424 JGOFS_GO 8.485173
Indo-Pacific (27.5,27.75] tem aou oxygen silicate phosphate 4.386458 4.074656 3.738199 JGOFS_GO 8.461113
Indo-Pacific (27.5,27.75] tem aou oxygen silicate phosphate_star 4.386458 4.074656 3.738199 JGOFS_GO 8.461113
Indo-Pacific (27.5,27.75] tem aou phosphate phosphate_star 4.410507 4.074666 3.760424 JGOFS_GO 8.485173
Indo-Pacific (27.5,27.75] tem aou silicate phosphate phosphate_star 4.386458 4.074656 3.738199 JGOFS_GO 8.461113
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate 4.258533 3.311684 2.876268 GO_new 6.187952
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate_star 4.280170 3.289599 2.863161 GO_new 6.152760
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate 4.281560 3.291064 2.865015 GO_new 6.156079
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate_star 4.281560 3.291064 2.865015 GO_new 6.156079
Indo-Pacific (27.75,27.85] sal tem silicate phosphate phosphate_star 4.281560 3.291064 2.865015 GO_new 6.156079
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate 4.242882 3.271777 2.903747 GO_new 6.175523
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate_star 4.242882 3.271777 2.903747 GO_new 6.175523
Indo-Pacific (27.75,27.85] tem aou silicate phosphate phosphate_star 4.242882 3.271777 2.903747 GO_new 6.175523
Indo-Pacific (27.75,27.85] tem aou silicate phosphate_star 4.299581 3.295238 2.915852 GO_new 6.211090
Indo-Pacific (27.75,27.85] tem oxygen silicate phosphate_star 4.300570 3.296323 2.916579 GO_new 6.212903
Indo-Pacific (27.75,27.85] sal tem aou oxygen phosphate 4.233667 3.327161 3.001071 JGOFS_GO 7.560827
Indo-Pacific (27.75,27.85] sal tem aou oxygen phosphate_star 4.233667 3.327161 3.001071 JGOFS_GO 7.560827
Indo-Pacific (27.75,27.85] sal tem aou phosphate phosphate_star 4.233667 3.327161 3.001071 JGOFS_GO 7.560827
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate 4.258533 3.311684 2.876268 JGOFS_GO 7.570217
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate_star 4.280170 3.289599 2.863161 JGOFS_GO 7.569769
Indo-Pacific (27.75,27.85] tem aou oxygen phosphate 4.242883 3.327650 3.002873 JGOFS_GO 7.570533
Indo-Pacific (27.75,27.85] tem aou oxygen phosphate_star 4.242883 3.327650 3.002873 JGOFS_GO 7.570533
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate 4.242882 3.271777 2.903747 JGOFS_GO 7.514659
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate_star 4.242882 3.271777 2.903747 JGOFS_GO 7.514659
Indo-Pacific (27.75,27.85] tem aou silicate phosphate phosphate_star 4.242882 3.271777 2.903747 JGOFS_GO 7.514659
Indo-Pacific (27.85,27.95] sal tem aou silicate phosphate 4.290311 3.000580 2.878296 GO_new 5.878876
Indo-Pacific (27.85,27.95] sal tem aou silicate phosphate_star 4.309949 3.004973 2.868411 GO_new 5.873384
Indo-Pacific (27.85,27.95] sal tem oxygen silicate phosphate 4.311405 3.004330 2.869502 GO_new 5.873832
Indo-Pacific (27.85,27.95] sal tem oxygen silicate phosphate_star 4.311405 3.004330 2.869502 GO_new 5.873832
Indo-Pacific (27.85,27.95] sal tem silicate phosphate phosphate_star 4.311405 3.004330 2.869502 GO_new 5.873832
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate 4.280774 3.000763 2.891621 GO_new 5.892384
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate_star 4.280774 3.000763 2.891621 GO_new 5.892384
Indo-Pacific (27.85,27.95] tem aou silicate phosphate phosphate_star 4.280774 3.000763 2.891621 GO_new 5.892384
Indo-Pacific (27.85,27.95] tem oxygen silicate phosphate 4.315597 3.005155 2.892410 GO_new 5.897565
Indo-Pacific (27.85,27.95] tem oxygen silicate phosphate phosphate_star 4.315597 3.005155 2.892410 GO_new 5.897565
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate 4.280926 3.007769 2.912915 JGOFS_GO 7.288694
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate phosphate_star 4.280926 3.007769 2.912915 JGOFS_GO 7.288694
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate_star 4.280926 3.007769 2.912915 JGOFS_GO 7.288694
Indo-Pacific (27.85,27.95] aou silicate phosphate phosphate_star 4.280926 3.007769 2.912915 JGOFS_GO 7.288694
Indo-Pacific (27.85,27.95] sal aou oxygen silicate phosphate 4.272593 3.007732 2.896370 JGOFS_GO 7.280326
Indo-Pacific (27.85,27.95] sal aou oxygen silicate phosphate_star 4.272593 3.007732 2.896370 JGOFS_GO 7.280326
Indo-Pacific (27.85,27.95] sal aou silicate phosphate phosphate_star 4.272593 3.007732 2.896370 JGOFS_GO 7.280326
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate 4.280774 3.000763 2.891621 JGOFS_GO 7.281537
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate_star 4.280774 3.000763 2.891621 JGOFS_GO 7.281537
Indo-Pacific (27.85,27.95] tem aou silicate phosphate phosphate_star 4.280774 3.000763 2.891621 JGOFS_GO 7.281537
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate 4.359139 2.857154 3.075517 GO_new 5.932671
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate_star 4.359139 2.857154 3.075517 GO_new 5.932671
Indo-Pacific (27.95,28.05] sal aou silicate phosphate phosphate_star 4.359139 2.857154 3.075517 GO_new 5.932671
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate 4.359973 2.871354 3.107381 GO_new 5.978735
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate_star 4.359973 2.871354 3.107381 GO_new 5.978735
Indo-Pacific (27.95,28.05] sal tem aou phosphate phosphate_star 4.359973 2.871354 3.107381 GO_new 5.978735
Indo-Pacific (27.95,28.05] sal tem aou silicate phosphate 4.377696 2.882277 3.064828 GO_new 5.947104
Indo-Pacific (27.95,28.05] tem aou oxygen silicate phosphate 4.381237 2.866160 3.109301 GO_new 5.975461
Indo-Pacific (27.95,28.05] tem aou oxygen silicate phosphate_star 4.381237 2.866160 3.109301 GO_new 5.975461
Indo-Pacific (27.95,28.05] tem aou silicate phosphate phosphate_star 4.381237 2.866160 3.109301 GO_new 5.975461
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate 4.360181 2.879287 3.107563 JGOFS_GO 7.239469
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate phosphate_star 4.360181 2.879287 3.107563 JGOFS_GO 7.239469
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate_star 4.360181 2.879287 3.107563 JGOFS_GO 7.239469
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate 4.359139 2.857154 3.075517 JGOFS_GO 7.216293
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate_star 4.359139 2.857154 3.075517 JGOFS_GO 7.216293
Indo-Pacific (27.95,28.05] sal aou phosphate phosphate_star 4.360181 2.879287 3.107563 JGOFS_GO 7.239469
Indo-Pacific (27.95,28.05] sal aou silicate phosphate phosphate_star 4.359139 2.857154 3.075517 JGOFS_GO 7.216293
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate 4.359973 2.871354 3.107381 JGOFS_GO 7.231328
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate_star 4.359973 2.871354 3.107381 JGOFS_GO 7.231328
Indo-Pacific (27.95,28.05] sal tem aou phosphate phosphate_star 4.359973 2.871354 3.107381 JGOFS_GO 7.231328
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate 4.228221 2.863082 2.828633 GO_new 5.691715
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate phosphate_star 4.228221 2.863082 2.828633 GO_new 5.691715
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate_star 4.228221 2.863082 2.828633 GO_new 5.691715
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate 4.225670 2.848200 2.826261 GO_new 5.674461
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate_star 4.225670 2.848200 2.826261 GO_new 5.674461
Indo-Pacific (28.05,28.1] sal aou phosphate phosphate_star 4.228221 2.863082 2.828633 GO_new 5.691715
Indo-Pacific (28.05,28.1] sal aou silicate phosphate phosphate_star 4.225670 2.848200 2.826261 GO_new 5.674461
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate 4.225054 2.860776 2.817179 GO_new 5.677955
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate_star 4.225054 2.860776 2.817179 GO_new 5.677955
Indo-Pacific (28.05,28.1] sal tem aou phosphate phosphate_star 4.225054 2.860776 2.817179 GO_new 5.677955
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate 4.228221 2.863082 2.828633 JGOFS_GO 7.091304
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate phosphate_star 4.228221 2.863082 2.828633 JGOFS_GO 7.091304
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate_star 4.228221 2.863082 2.828633 JGOFS_GO 7.091304
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate 4.225670 2.848200 2.826261 JGOFS_GO 7.073870
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate_star 4.225670 2.848200 2.826261 JGOFS_GO 7.073870
Indo-Pacific (28.05,28.1] sal aou phosphate phosphate_star 4.228221 2.863082 2.828633 JGOFS_GO 7.091304
Indo-Pacific (28.05,28.1] sal aou silicate phosphate phosphate_star 4.225670 2.848200 2.826261 JGOFS_GO 7.073870
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate 4.225054 2.860776 2.817179 JGOFS_GO 7.085830
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate_star 4.225054 2.860776 2.817179 JGOFS_GO 7.085830
Indo-Pacific (28.05,28.1] sal tem aou phosphate phosphate_star 4.225054 2.860776 2.817179 JGOFS_GO 7.085830
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate 3.640879 3.028695 2.696173 GO_new 5.724868
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate phosphate_star 3.640879 3.028695 2.696173 GO_new 5.724868
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate_star 3.640879 3.028695 2.696173 GO_new 5.724868
Indo-Pacific (28.1, Inf] aou silicate phosphate phosphate_star 3.640879 3.028695 2.696173 GO_new 5.724868
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate 3.570328 3.028688 2.582084 GO_new 5.610771
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate_star 3.570328 3.028688 2.582084 GO_new 5.610771
Indo-Pacific (28.1, Inf] sal aou silicate phosphate phosphate_star 3.570328 3.028688 2.582084 GO_new 5.610771
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate 3.601769 2.985715 2.648408 GO_new 5.634123
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate_star 3.601769 2.985715 2.648408 GO_new 5.634123
Indo-Pacific (28.1, Inf] tem aou silicate phosphate phosphate_star 3.601769 2.985715 2.648408 GO_new 5.634123
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate 3.640879 3.028695 2.696173 JGOFS_GO 6.669574
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate phosphate_star 3.640879 3.028695 2.696173 JGOFS_GO 6.669574
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate_star 3.640879 3.028695 2.696173 JGOFS_GO 6.669574
Indo-Pacific (28.1, Inf] aou silicate phosphate phosphate_star 3.640879 3.028695 2.696173 JGOFS_GO 6.669574
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate 3.570328 3.028688 2.582084 JGOFS_GO 6.599015
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate_star 3.570328 3.028688 2.582084 JGOFS_GO 6.599015
Indo-Pacific (28.1, Inf] sal aou silicate phosphate phosphate_star 3.570328 3.028688 2.582084 JGOFS_GO 6.599015
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate 3.601769 2.985715 2.648408 JGOFS_GO 6.587484
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate_star 3.601769 2.985715 2.648408 JGOFS_GO 6.587484
Indo-Pacific (28.1, Inf] tem aou silicate phosphate phosphate_star 3.601769 2.985715 2.648408 JGOFS_GO 6.587484
all_lm_stats %>%
  ggplot(aes(rmse_GO_SHIP, rmse_sum - rmse_GO_SHIP, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras ~ basin)

rm(all_lm_stats, all_lm_stats_wide)
lm_1 <- GLODAP %>% 
  filter(basin == "Atlantic",
         gamma_slab == "(-Inf,26]",
         era == "new_era") %>% 
  lm(Cstar ~ sal + tem + aou + oxygen + phosphate_star, data = .)

lm_2 <- GLODAP %>% 
  filter(basin == "Atlantic",
         gamma_slab == "(-Inf,26]",
         era == "new_era") %>% 
  lm(Cstar ~ sal + tem + aou + oxygen + phosphate, data = .)

lm_1
lm_2

sqrt(mean(lm_1$residuals^2))
sqrt(mean(lm_2$residuals^2))

2.2 Fitting best models

After selecting 10 linear regression models with lowest summed RMSE across all eras, models are fitted again and model coefficients are saved to file.

lm_best <- lm_best %>% 
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste("Cstar ~", lm_coeff))

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    print(i_basin) 
    print(i_era  )
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)

    lm_best_basin <- lm_best %>%
      filter(basin == i_basin)

    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {

      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>% 
        filter(gamma_slab == i_gamma_slab)
      
      lm_best_basin_slab <- lm_best_basin %>% 
        filter(gamma_slab == i_gamma_slab)
      
      for (i_eras in unique(lm_best_basin_slab$eras)) {
        
        # i_eras <- unique(lm_best_basin_slab$eras)[1]
        
        lm_best_basin_slab_eras <- lm_best_basin_slab %>%
          filter(eras == i_eras)
      
      for (i_predictors in unique(lm_best_basin_slab_eras$predictors)) {
        
        # i_predictors <- unique(lm_best_basin_slab_eras$predictors)[1]
        
        lm_best_single <- lm_best_basin_slab_eras %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        i_rmse_sum <- lm_best_basin_slab_eras %>%
          filter(predictors == i_predictors) %>%
          select(rmse_sum) %>%
          pull()
        
        lm_formula <- as.formula(lm_best_single)
        
        model_single <- lm(lm_formula, 
              data = GLODAP_basin_era_slab)
        
        coefficients <- tidy(model_single)
        coefficients <- coefficients %>% 
          mutate(basin = i_basin,
                 era = i_era,
                 eras = i_eras,
                 gamma_slab = i_gamma_slab,
                 model = lm_best_single,
                 rmse = i_rmse_sum)
        
        print(lm_best_single)
      
      if (exists("all_lm")) {
        all_lm <- bind_rows(all_lm, coefficients)
      }
      
      if (!exists("all_lm")) {
        all_lm <- coefficients
      }
      

      }
      
 
      }
    }
    
  }
  
}


rm(lm_formula, model_single, coefficients, i_rmse_sum,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   lm_best, lm_best_basin, lm_best_basin_slab, lm_best_single,
   i_basin, i_era, i_gamma_slab, i_predictors)

all_lm %>%
  write_csv(here::here("data/eMLR",
                       "all_lm.csv"))

3 Open tasks

  • combine correlation, rmse and model calculation into one routine, ideally using the purrr map approach
  • select exactly best 10 models, even if same rmse sum appears more than once (currently, selection is set two ten, even if doublicated rmse occur)
  • check (phosphate_star) NA’s in coeffcients -> cases of exact colinearity?
  • test model selection based on AIC

4 Open questions


sessionInfo()
R version 4.0.2 (2020-06-22)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)

Matrix products: default

locale:
[1] LC_COLLATE=English_Germany.1252  LC_CTYPE=English_Germany.1252   
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C                    
[5] LC_TIME=English_Germany.1252    

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

other attached packages:
 [1] corrr_0.4.2      broom_0.7.0      kableExtra_1.1.0 knitr_1.29      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     patchwork_1.0.1  lubridate_1.7.9 
 [9] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.0      purrr_0.3.4     
[13] readr_1.3.1      tidyr_1.1.0      tibble_3.0.3     ggplot2_3.3.2   
[17] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.4.2           webshot_0.5.2      RColorBrewer_1.1-2 httr_1.4.2        
 [5] rprojroot_1.3-2    tools_4.0.2        backports_1.1.8    R6_2.4.1          
 [9] nortest_1.0-4      DBI_1.1.0          colorspace_1.4-1   withr_2.2.0       
[13] tidyselect_1.1.0   gridExtra_2.3      curl_4.3           compiler_4.0.2    
[17] git2r_0.27.1       cli_2.0.2          rvest_0.3.6        xml2_1.3.2        
[21] labeling_0.3       scales_1.1.1       goftest_1.2-2      digest_0.6.25     
[25] foreign_0.8-80     rmarkdown_2.3      rio_0.5.16         pkgconfig_2.0.3   
[29] htmltools_0.5.0    dbplyr_1.4.4       highr_0.8          rlang_0.4.7       
[33] readxl_1.3.1       rstudioapi_0.11    generics_0.0.2     farver_2.0.3      
[37] jsonlite_1.7.0     zip_2.0.4          car_3.0-8          magrittr_1.5      
[41] Rcpp_1.0.5         munsell_0.5.0      fansi_0.4.1        abind_1.4-5       
[45] lifecycle_0.2.0    stringi_1.4.6      whisker_0.4        yaml_2.2.1        
[49] carData_3.0-4      plyr_1.8.6         grid_4.0.2         blob_1.2.1        
[53] promises_1.1.1     crayon_1.3.4       haven_2.3.1        hms_0.5.3         
[57] pillar_1.4.6       reprex_0.3.0       glue_1.4.1         evaluate_0.14     
[61] data.table_1.13.0  modelr_0.1.8       vctrs_0.3.2        httpuv_1.5.4      
[65] cellranger_1.1.0   gtable_0.3.0       reshape_0.8.8      assertthat_0.2.1  
[69] xfun_0.16          openxlsx_4.1.5     later_1.1.0.1      viridisLite_0.3.0 
[73] ellipsis_0.3.1     here_0.1