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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

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"))

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")

2.1 RMSE alternatives

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)

2.2 Predictor selection

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 7.585679 8.298620 7.109713 GO_new 15.408333
Atlantic (-Inf,26] sal aou oxygen silicate phosphate_star 7.585679 8.298620 7.109713 GO_new 15.408333
Atlantic (-Inf,26] sal aou silicate phosphate phosphate_star 7.585679 8.298620 7.109713 GO_new 15.408333
Atlantic (-Inf,26] sal tem aou oxygen phosphate 7.505868 8.235518 7.238295 GO_new 15.473813
Atlantic (-Inf,26] sal tem aou oxygen phosphate_star 7.505868 8.235518 7.238295 GO_new 15.473813
Atlantic (-Inf,26] sal tem aou phosphate phosphate_star 7.505868 8.235518 7.238295 GO_new 15.473813
Atlantic (-Inf,26] sal tem aou silicate phosphate 7.526163 8.368389 7.112168 GO_new 15.480557
Atlantic (-Inf,26] sal tem aou silicate phosphate_star 7.513481 8.374739 7.112953 GO_new 15.487693
Atlantic (-Inf,26] sal tem oxygen silicate phosphate_star 7.505457 8.383040 7.112674 GO_new 15.495714
Atlantic (-Inf,26] sal tem silicate phosphate phosphate_star 7.505457 8.383040 7.112674 GO_new 15.495714
Atlantic (-Inf,26] sal aou oxygen silicate phosphate 7.585679 8.298620 7.109713 JGOFS_GO 15.884300
Atlantic (-Inf,26] sal aou oxygen silicate phosphate_star 7.585679 8.298620 7.109713 JGOFS_GO 15.884300
Atlantic (-Inf,26] sal aou silicate phosphate phosphate_star 7.585679 8.298620 7.109713 JGOFS_GO 15.884300
Atlantic (-Inf,26] sal tem aou oxygen phosphate 7.505868 8.235518 7.238295 JGOFS_GO 15.741386
Atlantic (-Inf,26] sal tem aou oxygen phosphate_star 7.505868 8.235518 7.238295 JGOFS_GO 15.741386
Atlantic (-Inf,26] sal tem aou phosphate phosphate_star 7.505868 8.235518 7.238295 JGOFS_GO 15.741386
Atlantic (-Inf,26] sal tem aou silicate phosphate_star 7.513481 8.374739 7.112953 JGOFS_GO 15.888220
Atlantic (-Inf,26] sal tem oxygen silicate phosphate 7.505457 8.383040 7.112674 JGOFS_GO 15.888497
Atlantic (-Inf,26] sal tem oxygen silicate phosphate_star 7.505457 8.383040 7.112674 JGOFS_GO 15.888497
Atlantic (-Inf,26] sal tem silicate phosphate phosphate_star 7.505457 8.383040 7.112674 JGOFS_GO 15.888497
Atlantic (26,26.5] sal aou oxygen phosphate 5.800617 7.678071 7.512413 GO_new 15.190483
Atlantic (26,26.5] sal aou oxygen phosphate_star 5.800617 7.678071 7.512413 GO_new 15.190483
Atlantic (26,26.5] sal aou oxygen silicate phosphate 5.703667 7.670106 7.498651 GO_new 15.168757
Atlantic (26,26.5] sal aou oxygen silicate phosphate_star 5.703667 7.670106 7.498651 GO_new 15.168757
Atlantic (26,26.5] sal aou phosphate phosphate_star 5.800617 7.678071 7.512413 GO_new 15.190483
Atlantic (26,26.5] sal aou silicate phosphate phosphate_star 5.703667 7.670106 7.498651 GO_new 15.168757
Atlantic (26,26.5] sal tem aou oxygen phosphate 5.759407 7.605413 7.512060 GO_new 15.117473
Atlantic (26,26.5] sal tem aou oxygen phosphate_star 5.759407 7.605413 7.512060 GO_new 15.117473
Atlantic (26,26.5] sal tem aou phosphate phosphate_star 5.759407 7.605413 7.512060 GO_new 15.117473
Atlantic (26,26.5] sal tem aou silicate phosphate 5.724120 7.669747 7.499795 GO_new 15.169542
Atlantic (26,26.5] sal aou oxygen silicate phosphate 5.703667 7.670106 7.498651 JGOFS_GO 13.373773
Atlantic (26,26.5] sal aou oxygen silicate phosphate_star 5.703667 7.670106 7.498651 JGOFS_GO 13.373773
Atlantic (26,26.5] sal aou silicate phosphate phosphate_star 5.703667 7.670106 7.498651 JGOFS_GO 13.373773
Atlantic (26,26.5] sal tem aou oxygen phosphate 5.759407 7.605413 7.512060 JGOFS_GO 13.364820
Atlantic (26,26.5] sal tem aou oxygen phosphate_star 5.759407 7.605413 7.512060 JGOFS_GO 13.364820
Atlantic (26,26.5] sal tem aou phosphate phosphate_star 5.759407 7.605413 7.512060 JGOFS_GO 13.364820
Atlantic (26,26.5] sal tem aou silicate phosphate 5.724120 7.669747 7.499795 JGOFS_GO 13.393867
Atlantic (26,26.5] tem aou oxygen silicate phosphate 5.660262 7.712598 7.515494 JGOFS_GO 13.372860
Atlantic (26,26.5] tem aou oxygen silicate phosphate_star 5.660262 7.712598 7.515494 JGOFS_GO 13.372860
Atlantic (26,26.5] tem aou silicate phosphate phosphate_star 5.660262 7.712598 7.515494 JGOFS_GO 13.372860
Atlantic (26.5,26.75] sal tem aou oxygen phosphate 5.396209 6.885847 7.998321 GO_new 14.884168
Atlantic (26.5,26.75] sal tem aou oxygen phosphate_star 5.396209 6.885847 7.998321 GO_new 14.884168
Atlantic (26.5,26.75] sal tem aou phosphate phosphate_star 5.396209 6.885847 7.998321 GO_new 14.884168
Atlantic (26.5,26.75] tem aou oxygen phosphate 5.438232 6.915472 7.998633 GO_new 14.914105
Atlantic (26.5,26.75] tem aou oxygen phosphate phosphate_star 5.438232 6.915472 7.998633 GO_new 14.914105
Atlantic (26.5,26.75] tem aou oxygen phosphate_star 5.438232 6.915472 7.998633 GO_new 14.914105
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate 5.277064 6.831481 7.991917 GO_new 14.823398
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate_star 5.277064 6.831481 7.991917 GO_new 14.823398
Atlantic (26.5,26.75] tem aou phosphate phosphate_star 5.438232 6.915472 7.998633 GO_new 14.914105
Atlantic (26.5,26.75] tem aou silicate phosphate phosphate_star 5.277064 6.831481 7.991917 GO_new 14.823398
Atlantic (26.5,26.75] sal tem aou silicate phosphate 5.223591 6.902695 8.096247 JGOFS_GO 12.126286
Atlantic (26.5,26.75] sal tem aou silicate phosphate_star 5.208798 6.872659 8.079579 JGOFS_GO 12.081456
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate 5.206984 6.870741 8.083225 JGOFS_GO 12.077726
Atlantic (26.5,26.75] sal tem oxygen silicate phosphate_star 5.206984 6.870741 8.083225 JGOFS_GO 12.077726
Atlantic (26.5,26.75] sal tem silicate phosphate phosphate_star 5.206984 6.870741 8.083225 JGOFS_GO 12.077726
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate 5.277064 6.831481 7.991917 JGOFS_GO 12.108545
Atlantic (26.5,26.75] tem aou oxygen silicate phosphate_star 5.277064 6.831481 7.991917 JGOFS_GO 12.108545
Atlantic (26.5,26.75] tem aou silicate phosphate phosphate_star 5.277064 6.831481 7.991917 JGOFS_GO 12.108545
Atlantic (26.5,26.75] tem oxygen silicate phosphate 5.299775 6.925792 8.084101 JGOFS_GO 12.225567
Atlantic (26.5,26.75] tem oxygen silicate phosphate phosphate_star 5.299775 6.925792 8.084101 JGOFS_GO 12.225567
Atlantic (26.75,27] sal tem aou silicate phosphate 5.246178 5.726395 6.017813 GO_new 11.744208
Atlantic (26.75,27] sal tem aou silicate phosphate_star 5.244528 5.684657 5.995184 GO_new 11.679841
Atlantic (26.75,27] sal tem oxygen silicate phosphate 5.244224 5.688043 5.997326 GO_new 11.685369
Atlantic (26.75,27] sal tem oxygen silicate phosphate_star 5.244224 5.688043 5.997326 GO_new 11.685369
Atlantic (26.75,27] sal tem silicate phosphate phosphate_star 5.244224 5.688043 5.997326 GO_new 11.685369
Atlantic (26.75,27] tem aou oxygen silicate phosphate 5.346045 5.702341 5.989528 GO_new 11.691869
Atlantic (26.75,27] tem aou oxygen silicate phosphate_star 5.346045 5.702341 5.989528 GO_new 11.691869
Atlantic (26.75,27] tem aou silicate phosphate phosphate_star 5.346045 5.702341 5.989528 GO_new 11.691869
Atlantic (26.75,27] tem aou silicate phosphate_star 5.347829 5.755566 6.005484 GO_new 11.761050
Atlantic (26.75,27] tem oxygen silicate phosphate 5.347348 5.758959 6.007619 GO_new 11.766578
Atlantic (26.75,27] sal tem aou silicate phosphate 5.246178 5.726395 6.017813 JGOFS_GO 10.972573
Atlantic (26.75,27] sal tem aou silicate phosphate_star 5.244528 5.684657 5.995184 JGOFS_GO 10.929185
Atlantic (26.75,27] sal tem oxygen silicate phosphate 5.244224 5.688043 5.997326 JGOFS_GO 10.932267
Atlantic (26.75,27] sal tem oxygen silicate phosphate_star 5.244224 5.688043 5.997326 JGOFS_GO 10.932267
Atlantic (26.75,27] sal tem silicate phosphate phosphate_star 5.244224 5.688043 5.997326 JGOFS_GO 10.932267
Atlantic (26.75,27] sal tem silicate phosphate_star 5.260385 5.811389 6.142458 JGOFS_GO 11.071774
Atlantic (26.75,27] tem aou oxygen silicate phosphate 5.346045 5.702341 5.989528 JGOFS_GO 11.048385
Atlantic (26.75,27] tem aou oxygen silicate phosphate_star 5.346045 5.702341 5.989528 JGOFS_GO 11.048385
Atlantic (26.75,27] tem aou silicate phosphate phosphate_star 5.346045 5.702341 5.989528 JGOFS_GO 11.048385
Atlantic (26.75,27] tem aou silicate phosphate_star 5.347829 5.755566 6.005484 JGOFS_GO 11.103396
Atlantic (27,27.25] sal tem aou silicate phosphate 5.408836 5.660247 7.639718 GO_new 13.299964
Atlantic (27,27.25] sal tem aou silicate phosphate_star 5.363428 5.613821 7.620136 GO_new 13.233956
Atlantic (27,27.25] sal tem oxygen silicate phosphate 5.367468 5.620133 7.622276 GO_new 13.242409
Atlantic (27,27.25] sal tem oxygen silicate phosphate_star 5.367468 5.620133 7.622276 GO_new 13.242409
Atlantic (27,27.25] sal tem silicate phosphate phosphate_star 5.367468 5.620133 7.622276 GO_new 13.242409
Atlantic (27,27.25] tem aou oxygen silicate phosphate 5.587258 5.629173 7.635445 GO_new 13.264617
Atlantic (27,27.25] tem aou oxygen silicate phosphate_star 5.587258 5.629173 7.635445 GO_new 13.264617
Atlantic (27,27.25] tem aou silicate phosphate phosphate_star 5.587258 5.629173 7.635445 GO_new 13.264617
Atlantic (27,27.25] tem aou silicate phosphate_star 5.633073 5.643966 7.654842 GO_new 13.298808
Atlantic (27,27.25] tem oxygen silicate phosphate 5.638817 5.650377 7.657995 GO_new 13.308372
Atlantic (27,27.25] sal tem aou oxygen phosphate 5.462923 5.774979 7.852303 JGOFS_GO 11.237902
Atlantic (27,27.25] sal tem aou oxygen phosphate_star 5.462923 5.774979 7.852303 JGOFS_GO 11.237902
Atlantic (27,27.25] sal tem aou silicate phosphate 5.408836 5.660247 7.639718 JGOFS_GO 11.069083
Atlantic (27,27.25] sal tem aou silicate phosphate_star 5.363428 5.613821 7.620136 JGOFS_GO 10.977248
Atlantic (27,27.25] sal tem oxygen silicate phosphate 5.367468 5.620133 7.622276 JGOFS_GO 10.987601
Atlantic (27,27.25] sal tem oxygen silicate phosphate_star 5.367468 5.620133 7.622276 JGOFS_GO 10.987601
Atlantic (27,27.25] sal tem silicate phosphate phosphate_star 5.367468 5.620133 7.622276 JGOFS_GO 10.987601
Atlantic (27,27.25] tem aou oxygen silicate phosphate 5.587258 5.629173 7.635445 JGOFS_GO 11.216430
Atlantic (27,27.25] tem aou oxygen silicate phosphate_star 5.587258 5.629173 7.635445 JGOFS_GO 11.216430
Atlantic (27,27.25] tem aou silicate phosphate phosphate_star 5.587258 5.629173 7.635445 JGOFS_GO 11.216430
Atlantic (27.25,27.5] sal aou oxygen silicate phosphate 5.133318 4.802846 7.488351 GO_new 12.291196
Atlantic (27.25,27.5] sal aou oxygen silicate phosphate_star 5.133318 4.802846 7.488351 GO_new 12.291196
Atlantic (27.25,27.5] sal aou silicate phosphate phosphate_star 5.133318 4.802846 7.488351 GO_new 12.291196
Atlantic (27.25,27.5] sal tem aou oxygen phosphate 4.911614 4.784725 7.450640 GO_new 12.235365
Atlantic (27.25,27.5] sal tem aou oxygen phosphate_star 4.911614 4.784725 7.450640 GO_new 12.235365
Atlantic (27.25,27.5] sal tem aou phosphate phosphate_star 4.911614 4.784725 7.450640 GO_new 12.235365
Atlantic (27.25,27.5] sal tem aou silicate phosphate 5.030749 4.775054 7.517004 GO_new 12.292058
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate 4.964888 4.854577 7.432324 GO_new 12.286901
Atlantic (27.25,27.5] tem aou oxygen silicate phosphate_star 4.964888 4.854577 7.432324 GO_new 12.286901
Atlantic (27.25,27.5] tem aou silicate phosphate phosphate_star 4.964888 4.854577 7.432324 GO_new 12.286901
Atlantic (27.25,27.5] sal tem aou oxygen phosphate 4.911614 4.784725 7.450640 JGOFS_GO 9.696340
Atlantic (27.25,27.5] sal tem aou oxygen phosphate_star 4.911614 4.784725 7.450640 JGOFS_GO 9.696340
Atlantic (27.25,27.5] sal tem aou phosphate phosphate_star 4.911614 4.784725 7.450640 JGOFS_GO 9.696340
Atlantic (27.25,27.5] sal tem aou phosphate_star 4.958243 4.795052 7.570942 JGOFS_GO 9.753295
Atlantic (27.25,27.5] sal tem aou silicate phosphate_star 4.958213 4.790572 7.562919 JGOFS_GO 9.748785
Atlantic (27.25,27.5] sal tem oxygen phosphate 4.976882 4.786412 7.552294 JGOFS_GO 9.763295
Atlantic (27.25,27.5] sal tem oxygen phosphate_star 4.976882 4.786412 7.552294 JGOFS_GO 9.763295
Atlantic (27.25,27.5] sal tem oxygen silicate phosphate 4.976431 4.779581 7.543587 JGOFS_GO 9.756012
Atlantic (27.25,27.5] sal tem oxygen silicate phosphate_star 4.976431 4.779581 7.543587 JGOFS_GO 9.756012
Atlantic (27.25,27.5] sal tem silicate phosphate phosphate_star 4.976431 4.779581 7.543587 JGOFS_GO 9.756012
Atlantic (27.5,27.75] aou oxygen silicate phosphate 4.779344 4.597469 6.451681 GO_new 11.049150
Atlantic (27.5,27.75] aou oxygen silicate phosphate_star 4.779344 4.597469 6.451681 GO_new 11.049150
Atlantic (27.5,27.75] aou silicate phosphate phosphate_star 4.779344 4.597469 6.451681 GO_new 11.049150
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate 4.779320 4.578110 6.441451 GO_new 11.019561
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate_star 4.779320 4.578110 6.441451 GO_new 11.019561
Atlantic (27.5,27.75] sal aou silicate phosphate phosphate_star 4.779320 4.578110 6.441451 GO_new 11.019561
Atlantic (27.5,27.75] sal tem aou silicate phosphate 4.753964 4.600572 6.444776 GO_new 11.045348
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate 4.737787 4.563135 6.439246 GO_new 11.002381
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate_star 4.737787 4.563135 6.439246 GO_new 11.002381
Atlantic (27.5,27.75] tem aou silicate phosphate phosphate_star 4.737787 4.563135 6.439246 GO_new 11.002381
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate 4.779320 4.578110 6.441451 JGOFS_GO 9.357430
Atlantic (27.5,27.75] sal aou oxygen silicate phosphate_star 4.779320 4.578110 6.441451 JGOFS_GO 9.357430
Atlantic (27.5,27.75] sal aou silicate phosphate phosphate_star 4.779320 4.578110 6.441451 JGOFS_GO 9.357430
Atlantic (27.5,27.75] sal tem aou silicate phosphate 4.753964 4.600572 6.444776 JGOFS_GO 9.354536
Atlantic (27.5,27.75] sal tem oxygen silicate phosphate 4.737899 4.621254 6.451287 JGOFS_GO 9.359153
Atlantic (27.5,27.75] sal tem oxygen silicate phosphate_star 4.737899 4.621254 6.451287 JGOFS_GO 9.359153
Atlantic (27.5,27.75] sal tem silicate phosphate phosphate_star 4.737899 4.621254 6.451287 JGOFS_GO 9.359153
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate 4.737787 4.563135 6.439246 JGOFS_GO 9.300922
Atlantic (27.5,27.75] tem aou oxygen silicate phosphate_star 4.737787 4.563135 6.439246 JGOFS_GO 9.300922
Atlantic (27.5,27.75] tem aou silicate phosphate phosphate_star 4.737787 4.563135 6.439246 JGOFS_GO 9.300922
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate 4.651801 4.757264 7.640187 GO_new 12.397451
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate_star 4.651801 4.757264 7.640187 GO_new 12.397451
Atlantic (27.75,27.85] sal aou silicate phosphate phosphate_star 4.651801 4.757264 7.640187 GO_new 12.397451
Atlantic (27.75,27.85] sal oxygen silicate phosphate_star 4.659054 4.766216 7.678577 GO_new 12.444793
Atlantic (27.75,27.85] sal silicate phosphate phosphate_star 4.659054 4.766216 7.678577 GO_new 12.444793
Atlantic (27.75,27.85] sal tem aou silicate phosphate 4.649108 4.756817 7.647501 GO_new 12.404319
Atlantic (27.75,27.85] sal tem aou silicate phosphate_star 4.665575 4.775218 7.638828 GO_new 12.414046
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate 4.654915 4.761201 7.646948 GO_new 12.408149
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate_star 4.654915 4.761201 7.646948 GO_new 12.408149
Atlantic (27.75,27.85] sal tem silicate phosphate phosphate_star 4.654915 4.761201 7.646948 GO_new 12.408149
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate 4.651801 4.757264 7.640187 JGOFS_GO 9.409065
Atlantic (27.75,27.85] sal aou oxygen silicate phosphate_star 4.651801 4.757264 7.640187 JGOFS_GO 9.409065
Atlantic (27.75,27.85] sal aou silicate phosphate 4.657471 4.757264 7.689283 JGOFS_GO 9.414735
Atlantic (27.75,27.85] sal aou silicate phosphate phosphate_star 4.651801 4.757264 7.640187 JGOFS_GO 9.409065
Atlantic (27.75,27.85] sal oxygen silicate phosphate 4.659054 4.766216 7.678577 JGOFS_GO 9.425270
Atlantic (27.75,27.85] sal silicate phosphate phosphate_star 4.659054 4.766216 7.678577 JGOFS_GO 9.425270
Atlantic (27.75,27.85] sal tem aou silicate phosphate 4.649108 4.756817 7.647501 JGOFS_GO 9.405925
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate 4.654915 4.761201 7.646948 JGOFS_GO 9.416116
Atlantic (27.75,27.85] sal tem oxygen silicate phosphate_star 4.654915 4.761201 7.646948 JGOFS_GO 9.416116
Atlantic (27.75,27.85] sal tem silicate phosphate phosphate_star 4.654915 4.761201 7.646948 JGOFS_GO 9.416116
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate 4.128465 4.864220 5.396819 GO_new 10.261039
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate_star 4.128465 4.864220 5.396819 GO_new 10.261039
Atlantic (27.85,27.95] sal aou silicate phosphate phosphate_star 4.128465 4.864220 5.396819 GO_new 10.261039
Atlantic (27.85,27.95] sal aou silicate phosphate_star 4.128489 4.925430 5.445717 GO_new 10.371147
Atlantic (27.85,27.95] sal tem aou silicate phosphate 4.146748 4.878049 5.399525 GO_new 10.277573
Atlantic (27.85,27.95] sal tem aou silicate phosphate_star 4.128112 4.864547 5.396257 GO_new 10.260804
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate 4.139722 4.875174 5.399726 GO_new 10.274899
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate_star 4.139722 4.875174 5.399726 GO_new 10.274899
Atlantic (27.85,27.95] sal tem silicate phosphate 4.315316 4.936631 5.402117 GO_new 10.338748
Atlantic (27.85,27.95] sal tem silicate phosphate phosphate_star 4.139722 4.875174 5.399726 GO_new 10.274899
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate 4.128465 4.864220 5.396819 JGOFS_GO 8.992685
Atlantic (27.85,27.95] sal aou oxygen silicate phosphate_star 4.128465 4.864220 5.396819 JGOFS_GO 8.992685
Atlantic (27.85,27.95] sal aou silicate phosphate phosphate_star 4.128465 4.864220 5.396819 JGOFS_GO 8.992685
Atlantic (27.85,27.95] sal aou silicate phosphate_star 4.128489 4.925430 5.445717 JGOFS_GO 9.053919
Atlantic (27.85,27.95] sal tem aou silicate phosphate 4.146748 4.878049 5.399525 JGOFS_GO 9.024797
Atlantic (27.85,27.95] sal tem aou silicate phosphate_star 4.128112 4.864547 5.396257 JGOFS_GO 8.992659
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate 4.139722 4.875174 5.399726 JGOFS_GO 9.014895
Atlantic (27.85,27.95] sal tem oxygen silicate phosphate_star 4.139722 4.875174 5.399726 JGOFS_GO 9.014895
Atlantic (27.85,27.95] sal tem silicate phosphate 4.315316 4.936631 5.402117 JGOFS_GO 9.251947
Atlantic (27.85,27.95] sal tem silicate phosphate phosphate_star 4.139722 4.875174 5.399726 JGOFS_GO 9.014895
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate 3.890282 5.813276 6.265407 GO_new 12.078682
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate_star 3.890282 5.813276 6.265407 GO_new 12.078682
Atlantic (27.95,28.05] sal aou silicate phosphate phosphate_star 3.890282 5.813276 6.265407 GO_new 12.078682
Atlantic (27.95,28.05] sal aou silicate phosphate_star 3.890613 5.815148 6.281387 GO_new 12.096535
Atlantic (27.95,28.05] sal tem aou oxygen phosphate 4.077523 5.866809 6.109993 GO_new 11.976802
Atlantic (27.95,28.05] sal tem aou oxygen phosphate_star 4.077523 5.866809 6.109993 GO_new 11.976802
Atlantic (27.95,28.05] sal tem aou phosphate phosphate_star 4.077523 5.866809 6.109993 GO_new 11.976802
Atlantic (27.95,28.05] sal tem aou silicate phosphate_star 3.888475 5.808639 6.278835 GO_new 12.087474
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate_star 3.908526 5.831252 6.321339 GO_new 12.152590
Atlantic (27.95,28.05] sal tem silicate phosphate phosphate_star 3.908526 5.831252 6.321339 GO_new 12.152590
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate 3.890282 5.813276 6.265407 JGOFS_GO 9.703558
Atlantic (27.95,28.05] sal aou oxygen silicate phosphate_star 3.890282 5.813276 6.265407 JGOFS_GO 9.703558
Atlantic (27.95,28.05] sal aou silicate phosphate phosphate_star 3.890282 5.813276 6.265407 JGOFS_GO 9.703558
Atlantic (27.95,28.05] sal aou silicate phosphate_star 3.890613 5.815148 6.281387 JGOFS_GO 9.705761
Atlantic (27.95,28.05] sal oxygen silicate phosphate_star 3.961357 5.858095 6.381055 JGOFS_GO 9.819452
Atlantic (27.95,28.05] sal tem aou silicate phosphate 3.923045 5.847639 6.343877 JGOFS_GO 9.770684
Atlantic (27.95,28.05] sal tem aou silicate phosphate_star 3.888475 5.808639 6.278835 JGOFS_GO 9.697114
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate 3.908526 5.831252 6.321339 JGOFS_GO 9.739778
Atlantic (27.95,28.05] sal tem oxygen silicate phosphate_star 3.908526 5.831252 6.321339 JGOFS_GO 9.739778
Atlantic (27.95,28.05] sal tem silicate phosphate phosphate_star 3.908526 5.831252 6.321339 JGOFS_GO 9.739778
Atlantic (28.05,28.1] sal tem aou oxygen phosphate 3.809659 5.904752 6.658402 GO_new 12.563154
Atlantic (28.05,28.1] sal tem aou oxygen phosphate_star 3.809659 5.904752 6.658402 GO_new 12.563154
Atlantic (28.05,28.1] sal tem aou phosphate phosphate_star 3.809659 5.904752 6.658402 GO_new 12.563154
Atlantic (28.05,28.1] tem aou oxygen phosphate 3.939182 5.987527 6.912867 GO_new 12.900394
Atlantic (28.05,28.1] tem aou oxygen phosphate phosphate_star 3.939182 5.987527 6.912867 GO_new 12.900394
Atlantic (28.05,28.1] tem aou oxygen phosphate_star 3.939182 5.987527 6.912867 GO_new 12.900394
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate 3.908486 5.907490 6.774747 GO_new 12.682238
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate_star 3.908486 5.907490 6.774747 GO_new 12.682238
Atlantic (28.05,28.1] tem aou phosphate phosphate_star 3.939182 5.987527 6.912867 GO_new 12.900394
Atlantic (28.05,28.1] tem aou silicate phosphate phosphate_star 3.908486 5.907490 6.774747 GO_new 12.682238
Atlantic (28.05,28.1] sal tem aou oxygen phosphate 3.809659 5.904752 6.658402 JGOFS_GO 9.714411
Atlantic (28.05,28.1] sal tem aou oxygen phosphate_star 3.809659 5.904752 6.658402 JGOFS_GO 9.714411
Atlantic (28.05,28.1] sal tem aou phosphate phosphate_star 3.809659 5.904752 6.658402 JGOFS_GO 9.714411
Atlantic (28.05,28.1] tem aou oxygen phosphate 3.939182 5.987527 6.912867 JGOFS_GO 9.926709
Atlantic (28.05,28.1] tem aou oxygen phosphate phosphate_star 3.939182 5.987527 6.912867 JGOFS_GO 9.926709
Atlantic (28.05,28.1] tem aou oxygen phosphate_star 3.939182 5.987527 6.912867 JGOFS_GO 9.926709
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate 3.908486 5.907490 6.774747 JGOFS_GO 9.815976
Atlantic (28.05,28.1] tem aou oxygen silicate phosphate_star 3.908486 5.907490 6.774747 JGOFS_GO 9.815976
Atlantic (28.05,28.1] tem aou phosphate phosphate_star 3.939182 5.987527 6.912867 JGOFS_GO 9.926709
Atlantic (28.05,28.1] tem aou silicate phosphate phosphate_star 3.908486 5.907490 6.774747 JGOFS_GO 9.815976
Atlantic (28.1,28.15] sal tem aou oxygen phosphate 3.635482 6.718400 8.193651 GO_new 14.912051
Atlantic (28.1,28.15] sal tem aou oxygen phosphate_star 3.635482 6.718400 8.193651 GO_new 14.912051
Atlantic (28.1,28.15] sal tem aou phosphate phosphate_star 3.635482 6.718400 8.193651 GO_new 14.912051
Atlantic (28.1,28.15] tem aou oxygen phosphate 3.665835 6.756703 8.194763 GO_new 14.951466
Atlantic (28.1,28.15] tem aou oxygen phosphate phosphate_star 3.665835 6.756703 8.194763 GO_new 14.951466
Atlantic (28.1,28.15] tem aou oxygen phosphate_star 3.665835 6.756703 8.194763 GO_new 14.951466
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate 3.618898 6.729711 8.131601 GO_new 14.861312
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate_star 3.618898 6.729711 8.131601 GO_new 14.861312
Atlantic (28.1,28.15] tem aou phosphate phosphate_star 3.665835 6.756703 8.194763 GO_new 14.951466
Atlantic (28.1,28.15] tem aou silicate phosphate phosphate_star 3.618898 6.729711 8.131601 GO_new 14.861312
Atlantic (28.1,28.15] sal tem aou oxygen phosphate 3.635482 6.718400 8.193651 JGOFS_GO 10.353882
Atlantic (28.1,28.15] sal tem aou oxygen phosphate_star 3.635482 6.718400 8.193651 JGOFS_GO 10.353882
Atlantic (28.1,28.15] sal tem aou phosphate phosphate_star 3.635482 6.718400 8.193651 JGOFS_GO 10.353882
Atlantic (28.1,28.15] sal tem aou silicate phosphate_star 3.595662 6.725275 8.480492 JGOFS_GO 10.320937
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate 3.594751 6.734160 8.461651 JGOFS_GO 10.328911
Atlantic (28.1,28.15] sal tem oxygen silicate phosphate_star 3.594751 6.734160 8.461651 JGOFS_GO 10.328911
Atlantic (28.1,28.15] sal tem silicate phosphate phosphate_star 3.594751 6.734160 8.461651 JGOFS_GO 10.328911
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate 3.618898 6.729711 8.131601 JGOFS_GO 10.348610
Atlantic (28.1,28.15] tem aou oxygen silicate phosphate_star 3.618898 6.729711 8.131601 JGOFS_GO 10.348610
Atlantic (28.1,28.15] tem aou silicate phosphate phosphate_star 3.618898 6.729711 8.131601 JGOFS_GO 10.348610
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate 4.106332 3.637564 2.797044 GO_new 6.434607
Atlantic (28.15,28.2] sal aou oxygen silicate phosphate_star 4.106332 3.637564 2.797044 GO_new 6.434607
Atlantic (28.15,28.2] sal tem aou oxygen phosphate 4.092581 3.622557 2.781153 GO_new 6.403710
Atlantic (28.15,28.2] sal tem aou oxygen phosphate_star 4.092581 3.622557 2.781153 GO_new 6.403710
Atlantic (28.15,28.2] sal tem aou phosphate 4.111819 3.644506 2.781582 GO_new 6.426089
Atlantic (28.15,28.2] sal tem aou phosphate phosphate_star 4.092581 3.622557 2.781153 GO_new 6.403710
Atlantic (28.15,28.2] sal tem aou silicate phosphate 4.074971 3.627078 2.770299 GO_new 6.397377
Atlantic (28.15,28.2] sal tem oxygen silicate phosphate 4.086442 3.658136 2.774955 GO_new 6.433091
Atlantic (28.15,28.2] sal tem oxygen silicate phosphate_star 4.086442 3.658136 2.774955 GO_new 6.433091
Atlantic (28.15,28.2] sal tem silicate phosphate phosphate_star 4.086442 3.658136 2.774955 GO_new 6.433091
Atlantic (28.15,28.2] sal tem aou oxygen phosphate 4.092581 3.622557 2.781153 JGOFS_GO 7.715138
Atlantic (28.15,28.2] sal tem aou oxygen phosphate_star 4.092581 3.622557 2.781153 JGOFS_GO 7.715138
Atlantic (28.15,28.2] sal tem aou phosphate phosphate_star 4.092581 3.622557 2.781153 JGOFS_GO 7.715138
Atlantic (28.15,28.2] sal tem aou silicate phosphate 4.074971 3.627078 2.770299 JGOFS_GO 7.702049
Atlantic (28.15,28.2] tem aou oxygen phosphate 4.095205 3.628981 2.932215 JGOFS_GO 7.724185
Atlantic (28.15,28.2] tem aou oxygen phosphate phosphate_star 4.095205 3.628981 2.932215 JGOFS_GO 7.724185
Atlantic (28.15,28.2] tem aou oxygen phosphate_star 4.095205 3.628981 2.932215 JGOFS_GO 7.724185
Atlantic (28.15,28.2] tem aou oxygen silicate phosphate 4.076553 3.622298 2.927845 JGOFS_GO 7.698850
Atlantic (28.15,28.2] tem aou oxygen silicate phosphate_star 4.076553 3.622298 2.927845 JGOFS_GO 7.698850
Atlantic (28.15,28.2] tem aou silicate phosphate phosphate_star 4.076553 3.622298 2.927845 JGOFS_GO 7.698850
Atlantic (28.2, Inf] sal aou oxygen silicate phosphate_star 3.299639 3.252530 3.177198 GO_new 6.429728
Atlantic (28.2, Inf] sal aou silicate phosphate phosphate_star 3.299639 3.252530 3.177198 GO_new 6.429728
Atlantic (28.2, Inf] sal tem aou oxygen phosphate 3.401155 3.260373 3.146467 GO_new 6.406840
Atlantic (28.2, Inf] sal tem aou oxygen phosphate_star 3.401155 3.260373 3.146467 GO_new 6.406840
Atlantic (28.2, Inf] sal tem aou phosphate phosphate_star 3.401155 3.260373 3.146467 GO_new 6.406840
Atlantic (28.2, Inf] sal tem aou phosphate_star 3.520559 3.270010 3.147193 GO_new 6.417203
Atlantic (28.2, Inf] sal tem aou silicate phosphate_star 3.332731 3.242175 3.118844 GO_new 6.361018
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate 3.300149 3.244566 3.141618 GO_new 6.386185
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate_star 3.300149 3.244566 3.141618 GO_new 6.386185
Atlantic (28.2, Inf] sal tem silicate phosphate phosphate_star 3.300149 3.244566 3.141618 GO_new 6.386185
Atlantic (28.2, Inf] sal aou oxygen silicate phosphate 3.299639 3.252530 3.177198 JGOFS_GO 6.552169
Atlantic (28.2, Inf] sal aou oxygen silicate phosphate_star 3.299639 3.252530 3.177198 JGOFS_GO 6.552169
Atlantic (28.2, Inf] sal aou silicate phosphate phosphate_star 3.299639 3.252530 3.177198 JGOFS_GO 6.552169
Atlantic (28.2, Inf] sal tem aou oxygen phosphate 3.401155 3.260373 3.146467 JGOFS_GO 6.661529
Atlantic (28.2, Inf] sal tem aou phosphate phosphate_star 3.401155 3.260373 3.146467 JGOFS_GO 6.661529
Atlantic (28.2, Inf] sal tem aou silicate phosphate 3.288745 3.277090 3.225333 JGOFS_GO 6.565835
Atlantic (28.2, Inf] sal tem aou silicate phosphate_star 3.332731 3.242175 3.118844 JGOFS_GO 6.574906
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate 3.300149 3.244566 3.141618 JGOFS_GO 6.544715
Atlantic (28.2, Inf] sal tem oxygen silicate phosphate_star 3.300149 3.244566 3.141618 JGOFS_GO 6.544715
Atlantic (28.2, Inf] sal tem silicate phosphate phosphate_star 3.300149 3.244566 3.141618 JGOFS_GO 6.544715
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate 11.400975 6.939470 5.748717 GO_new 12.688187
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate_star 11.400975 6.939470 5.748717 GO_new 12.688187
Indo-Pacific (-Inf,26] sal aou silicate phosphate phosphate_star 11.400975 6.939470 5.748717 GO_new 12.688187
Indo-Pacific (-Inf,26] sal tem aou oxygen phosphate_star 11.868408 7.304620 6.076198 GO_new 13.380818
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate 11.463535 7.015657 5.953808 GO_new 12.969465
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate_star 11.502492 7.058812 6.032000 GO_new 13.090812
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate 11.506171 7.063772 6.052620 GO_new 13.116392
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate_star 11.506171 7.063772 6.052620 GO_new 13.116392
Indo-Pacific (-Inf,26] sal tem silicate phosphate phosphate_star 11.506171 7.063772 6.052620 GO_new 13.116392
Indo-Pacific (-Inf,26] sal tem silicate phosphate_star 11.534560 7.088982 6.185906 GO_new 13.274888
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate 11.400975 6.939470 5.748717 JGOFS_GO 18.340445
Indo-Pacific (-Inf,26] sal aou oxygen silicate phosphate_star 11.400975 6.939470 5.748717 JGOFS_GO 18.340445
Indo-Pacific (-Inf,26] sal aou silicate phosphate phosphate_star 11.400975 6.939470 5.748717 JGOFS_GO 18.340445
Indo-Pacific (-Inf,26] sal tem aou oxygen phosphate_star 11.868408 7.304620 6.076198 JGOFS_GO 19.173028
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate 11.463535 7.015657 5.953808 JGOFS_GO 18.479192
Indo-Pacific (-Inf,26] sal tem aou silicate phosphate_star 11.502492 7.058812 6.032000 JGOFS_GO 18.561305
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate 11.506171 7.063772 6.052620 JGOFS_GO 18.569943
Indo-Pacific (-Inf,26] sal tem oxygen silicate phosphate_star 11.506171 7.063772 6.052620 JGOFS_GO 18.569943
Indo-Pacific (-Inf,26] sal tem silicate phosphate phosphate_star 11.506171 7.063772 6.052620 JGOFS_GO 18.569943
Indo-Pacific (-Inf,26] sal tem silicate phosphate_star 11.534560 7.088982 6.185906 JGOFS_GO 18.623542
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate 7.660563 5.385007 4.088784 GO_new 9.473791
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate_star 7.660563 5.385007 4.088784 GO_new 9.473791
Indo-Pacific (26,26.5] sal aou silicate phosphate phosphate_star 7.660563 5.385007 4.088784 GO_new 9.473791
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate 7.824108 5.483391 4.394553 GO_new 9.877944
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate_star 7.824108 5.483391 4.394553 GO_new 9.877944
Indo-Pacific (26,26.5] sal tem aou silicate phosphate 7.843358 5.357013 4.169918 GO_new 9.526931
Indo-Pacific (26,26.5] sal tem aou silicate phosphate_star 7.950155 5.371138 4.221270 GO_new 9.592408
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate 7.951175 5.367731 4.208574 GO_new 9.576306
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate_star 7.951175 5.367731 4.208574 GO_new 9.576306
Indo-Pacific (26,26.5] sal tem silicate phosphate phosphate_star 7.951175 5.367731 4.208574 GO_new 9.576306
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate 7.660563 5.385007 4.088784 JGOFS_GO 13.045571
Indo-Pacific (26,26.5] sal aou oxygen silicate phosphate_star 7.660563 5.385007 4.088784 JGOFS_GO 13.045571
Indo-Pacific (26,26.5] sal aou silicate phosphate phosphate_star 7.660563 5.385007 4.088784 JGOFS_GO 13.045571
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate 7.824108 5.483391 4.394553 JGOFS_GO 13.307500
Indo-Pacific (26,26.5] sal tem aou oxygen phosphate_star 7.824108 5.483391 4.394553 JGOFS_GO 13.307500
Indo-Pacific (26,26.5] sal tem aou phosphate phosphate_star 7.824108 5.483391 4.394553 JGOFS_GO 13.307500
Indo-Pacific (26,26.5] sal tem aou silicate phosphate 7.843358 5.357013 4.169918 JGOFS_GO 13.200371
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate 7.951175 5.367731 4.208574 JGOFS_GO 13.318907
Indo-Pacific (26,26.5] sal tem oxygen silicate phosphate_star 7.951175 5.367731 4.208574 JGOFS_GO 13.318907
Indo-Pacific (26,26.5] sal tem silicate phosphate phosphate_star 7.951175 5.367731 4.208574 JGOFS_GO 13.318907
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate 6.503893 5.875019 5.012827 GO_new 10.887846
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate phosphate_star 6.503893 5.875019 5.012827 GO_new 10.887846
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate_star 6.503893 5.875019 5.012827 GO_new 10.887846
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate 6.338003 5.870364 4.927808 GO_new 10.798172
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate_star 6.338003 5.870364 4.927808 GO_new 10.798172
Indo-Pacific (26.5,26.75] sal aou phosphate phosphate_star 6.503893 5.875019 5.012827 GO_new 10.887846
Indo-Pacific (26.5,26.75] sal aou silicate phosphate phosphate_star 6.338003 5.870364 4.927808 GO_new 10.798172
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate 6.465560 5.873920 5.001235 GO_new 10.875155
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate_star 6.465560 5.873920 5.001235 GO_new 10.875155
Indo-Pacific (26.5,26.75] sal tem aou phosphate phosphate_star 6.465560 5.873920 5.001235 GO_new 10.875155
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate 6.503893 5.875019 5.012827 JGOFS_GO 12.378912
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate phosphate_star 6.503893 5.875019 5.012827 JGOFS_GO 12.378912
Indo-Pacific (26.5,26.75] sal aou oxygen phosphate_star 6.503893 5.875019 5.012827 JGOFS_GO 12.378912
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate 6.338003 5.870364 4.927808 JGOFS_GO 12.208367
Indo-Pacific (26.5,26.75] sal aou oxygen silicate phosphate_star 6.338003 5.870364 4.927808 JGOFS_GO 12.208367
Indo-Pacific (26.5,26.75] sal aou phosphate phosphate_star 6.503893 5.875019 5.012827 JGOFS_GO 12.378912
Indo-Pacific (26.5,26.75] sal aou silicate phosphate phosphate_star 6.338003 5.870364 4.927808 JGOFS_GO 12.208367
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate 6.465560 5.873920 5.001235 JGOFS_GO 12.339480
Indo-Pacific (26.5,26.75] sal tem aou oxygen phosphate_star 6.465560 5.873920 5.001235 JGOFS_GO 12.339480
Indo-Pacific (26.5,26.75] sal tem aou phosphate phosphate_star 6.465560 5.873920 5.001235 JGOFS_GO 12.339480
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate 7.111253 5.526191 4.494254 GO_new 10.020445
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate_star 7.111253 5.526191 4.494254 GO_new 10.020445
Indo-Pacific (26.75,27] sal tem aou phosphate phosphate_star 7.111253 5.526191 4.494254 GO_new 10.020445
Indo-Pacific (26.75,27] tem aou oxygen phosphate 7.148092 5.527264 4.504614 GO_new 10.031879
Indo-Pacific (26.75,27] tem aou oxygen phosphate phosphate_star 7.148092 5.527264 4.504614 GO_new 10.031879
Indo-Pacific (26.75,27] tem aou oxygen phosphate_star 7.148092 5.527264 4.504614 GO_new 10.031879
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate 7.081733 5.462091 4.499348 GO_new 9.961439
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate_star 7.081733 5.462091 4.499348 GO_new 9.961439
Indo-Pacific (26.75,27] tem aou phosphate phosphate_star 7.148092 5.527264 4.504614 GO_new 10.031879
Indo-Pacific (26.75,27] tem aou silicate phosphate phosphate_star 7.081733 5.462091 4.499348 GO_new 9.961439
Indo-Pacific (26.75,27] sal aou oxygen silicate phosphate 7.126364 5.542956 4.632738 JGOFS_GO 12.669320
Indo-Pacific (26.75,27] sal aou oxygen silicate phosphate_star 7.126364 5.542956 4.632738 JGOFS_GO 12.669320
Indo-Pacific (26.75,27] sal aou silicate phosphate phosphate_star 7.126364 5.542956 4.632738 JGOFS_GO 12.669320
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate 7.111253 5.526191 4.494254 JGOFS_GO 12.637444
Indo-Pacific (26.75,27] sal tem aou oxygen phosphate_star 7.111253 5.526191 4.494254 JGOFS_GO 12.637444
Indo-Pacific (26.75,27] sal tem aou phosphate phosphate_star 7.111253 5.526191 4.494254 JGOFS_GO 12.637444
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate 7.081733 5.462091 4.499348 JGOFS_GO 12.543824
Indo-Pacific (26.75,27] tem aou oxygen silicate phosphate_star 7.081733 5.462091 4.499348 JGOFS_GO 12.543824
Indo-Pacific (26.75,27] tem aou phosphate phosphate_star 7.148092 5.527264 4.504614 JGOFS_GO 12.675356
Indo-Pacific (26.75,27] tem aou silicate phosphate phosphate_star 7.081733 5.462091 4.499348 JGOFS_GO 12.543824
Indo-Pacific (27,27.25] sal aou oxygen silicate phosphate 6.670055 4.781085 4.157160 GO_new 8.938246
Indo-Pacific (27,27.25] sal aou oxygen silicate phosphate_star 6.670055 4.781085 4.157160 GO_new 8.938246
Indo-Pacific (27,27.25] sal aou silicate phosphate phosphate_star 6.670055 4.781085 4.157160 GO_new 8.938246
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate 6.446397 4.810344 4.165676 GO_new 8.976020
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate_star 6.446397 4.810344 4.165676 GO_new 8.976020
Indo-Pacific (27,27.25] sal tem aou phosphate phosphate_star 6.446397 4.810344 4.165676 GO_new 8.976020
Indo-Pacific (27,27.25] sal tem aou silicate phosphate 6.808051 4.796989 4.180960 GO_new 8.977950
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate 6.467626 4.730055 4.169982 GO_new 8.900037
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate_star 6.467626 4.730055 4.169982 GO_new 8.900037
Indo-Pacific (27,27.25] tem aou silicate phosphate phosphate_star 6.467626 4.730055 4.169982 GO_new 8.900037
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate 6.446397 4.810344 4.165676 JGOFS_GO 11.256741
Indo-Pacific (27,27.25] sal tem aou oxygen phosphate_star 6.446397 4.810344 4.165676 JGOFS_GO 11.256741
Indo-Pacific (27,27.25] sal tem aou phosphate phosphate_star 6.446397 4.810344 4.165676 JGOFS_GO 11.256741
Indo-Pacific (27,27.25] tem aou oxygen phosphate 6.470031 4.932683 4.318564 JGOFS_GO 11.402715
Indo-Pacific (27,27.25] tem aou oxygen phosphate phosphate_star 6.470031 4.932683 4.318564 JGOFS_GO 11.402715
Indo-Pacific (27,27.25] tem aou oxygen phosphate_star 6.470031 4.932683 4.318564 JGOFS_GO 11.402715
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate 6.467626 4.730055 4.169982 JGOFS_GO 11.197681
Indo-Pacific (27,27.25] tem aou oxygen silicate phosphate_star 6.467626 4.730055 4.169982 JGOFS_GO 11.197681
Indo-Pacific (27,27.25] tem aou phosphate phosphate_star 6.470031 4.932683 4.318564 JGOFS_GO 11.402715
Indo-Pacific (27,27.25] tem aou silicate phosphate phosphate_star 6.467626 4.730055 4.169982 JGOFS_GO 11.197681
Indo-Pacific (27.25,27.5] sal aou oxygen silicate phosphate 5.351079 4.323003 3.558381 GO_new 7.881384
Indo-Pacific (27.25,27.5] sal aou oxygen silicate phosphate_star 5.351079 4.323003 3.558381 GO_new 7.881384
Indo-Pacific (27.25,27.5] sal aou silicate phosphate phosphate_star 5.351079 4.323003 3.558381 GO_new 7.881384
Indo-Pacific (27.25,27.5] sal tem aou silicate phosphate 5.599454 4.367121 3.580124 GO_new 7.947245
Indo-Pacific (27.25,27.5] sal tem oxygen silicate phosphate 5.789699 4.410320 3.599223 GO_new 8.009543
Indo-Pacific (27.25,27.5] sal tem oxygen silicate phosphate_star 5.789699 4.410320 3.599223 GO_new 8.009543
Indo-Pacific (27.25,27.5] sal tem silicate phosphate phosphate_star 5.789699 4.410320 3.599223 GO_new 8.009543
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate 5.063510 4.191460 3.646638 GO_new 7.838099
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate_star 5.063510 4.191460 3.646638 GO_new 7.838099
Indo-Pacific (27.25,27.5] tem aou silicate phosphate phosphate_star 5.063510 4.191460 3.646638 GO_new 7.838099
Indo-Pacific (27.25,27.5] sal tem aou oxygen phosphate 5.070415 4.376164 3.660826 JGOFS_GO 9.446579
Indo-Pacific (27.25,27.5] sal tem aou oxygen phosphate_star 5.070415 4.376164 3.660826 JGOFS_GO 9.446579
Indo-Pacific (27.25,27.5] sal tem aou phosphate phosphate_star 5.070415 4.376164 3.660826 JGOFS_GO 9.446579
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate 5.084048 4.404777 3.760696 JGOFS_GO 9.488825
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate phosphate_star 5.084048 4.404777 3.760696 JGOFS_GO 9.488825
Indo-Pacific (27.25,27.5] tem aou oxygen phosphate_star 5.084048 4.404777 3.760696 JGOFS_GO 9.488825
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate 5.063510 4.191460 3.646638 JGOFS_GO 9.254971
Indo-Pacific (27.25,27.5] tem aou oxygen silicate phosphate_star 5.063510 4.191460 3.646638 JGOFS_GO 9.254971
Indo-Pacific (27.25,27.5] tem aou phosphate phosphate_star 5.084048 4.404777 3.760696 JGOFS_GO 9.488825
Indo-Pacific (27.25,27.5] tem aou silicate phosphate phosphate_star 5.063510 4.191460 3.646638 JGOFS_GO 9.254971
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate 4.812202 4.125661 3.590752 GO_new 7.716412
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate_star 4.812202 4.125661 3.590752 GO_new 7.716412
Indo-Pacific (27.5,27.75] sal tem aou phosphate phosphate_star 4.812202 4.125661 3.590752 GO_new 7.716412
Indo-Pacific (27.5,27.75] sal tem aou silicate phosphate 5.141953 4.117477 3.686895 GO_new 7.804372
Indo-Pacific (27.5,27.75] sal tem aou silicate phosphate_star 5.272577 4.169268 3.623099 GO_new 7.792367
Indo-Pacific (27.5,27.75] sal tem oxygen phosphate 5.271029 4.186807 3.638795 GO_new 7.825602
Indo-Pacific (27.5,27.75] sal tem oxygen phosphate phosphate_star 5.271029 4.186807 3.638795 GO_new 7.825602
Indo-Pacific (27.5,27.75] sal tem oxygen silicate phosphate 5.270319 4.163040 3.627660 GO_new 7.790701
Indo-Pacific (27.5,27.75] sal tem oxygen silicate phosphate_star 5.270319 4.163040 3.627660 GO_new 7.790701
Indo-Pacific (27.5,27.75] sal tem silicate phosphate phosphate_star 5.270319 4.163040 3.627660 GO_new 7.790701
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate 4.812202 4.125661 3.590752 JGOFS_GO 8.937863
Indo-Pacific (27.5,27.75] sal tem aou oxygen phosphate_star 4.812202 4.125661 3.590752 JGOFS_GO 8.937863
Indo-Pacific (27.5,27.75] sal tem aou phosphate phosphate_star 4.812202 4.125661 3.590752 JGOFS_GO 8.937863
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate 4.812575 4.204897 3.840747 JGOFS_GO 9.017471
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate phosphate_star 4.812575 4.204897 3.840747 JGOFS_GO 9.017471
Indo-Pacific (27.5,27.75] tem aou oxygen phosphate_star 4.812575 4.204897 3.840747 JGOFS_GO 9.017471
Indo-Pacific (27.5,27.75] tem aou oxygen silicate phosphate 4.812526 4.204561 3.817952 JGOFS_GO 9.017088
Indo-Pacific (27.5,27.75] tem aou oxygen silicate phosphate_star 4.812526 4.204561 3.817952 JGOFS_GO 9.017088
Indo-Pacific (27.5,27.75] tem aou phosphate phosphate_star 4.812575 4.204897 3.840747 JGOFS_GO 9.017471
Indo-Pacific (27.5,27.75] tem aou silicate phosphate phosphate_star 4.812526 4.204561 3.817952 JGOFS_GO 9.017088
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate 4.392596 3.546106 2.914979 GO_new 6.461085
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate_star 4.415173 3.526397 2.902185 GO_new 6.428583
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate 4.415610 3.528122 2.904076 GO_new 6.432198
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate_star 4.415610 3.528122 2.904076 GO_new 6.432198
Indo-Pacific (27.75,27.85] sal tem silicate phosphate phosphate_star 4.415610 3.528122 2.904076 GO_new 6.432198
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate 4.363857 3.518213 2.944097 GO_new 6.462310
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate_star 4.363857 3.518213 2.944097 GO_new 6.462310
Indo-Pacific (27.75,27.85] tem aou silicate phosphate phosphate_star 4.363857 3.518213 2.944097 GO_new 6.462310
Indo-Pacific (27.75,27.85] tem aou silicate phosphate_star 4.427739 3.535561 2.956759 GO_new 6.492320
Indo-Pacific (27.75,27.85] tem silicate phosphate phosphate_star 4.427639 3.536827 2.957547 GO_new 6.494374
Indo-Pacific (27.75,27.85] sal aou oxygen silicate phosphate 4.363568 3.576451 2.934931 JGOFS_GO 7.940019
Indo-Pacific (27.75,27.85] sal aou oxygen silicate phosphate_star 4.363568 3.576451 2.934931 JGOFS_GO 7.940019
Indo-Pacific (27.75,27.85] sal aou silicate phosphate phosphate_star 4.363568 3.576451 2.934931 JGOFS_GO 7.940019
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate 4.392596 3.546106 2.914979 JGOFS_GO 7.938702
Indo-Pacific (27.75,27.85] sal tem aou silicate phosphate_star 4.415173 3.526397 2.902185 JGOFS_GO 7.941570
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate 4.415610 3.528122 2.904076 JGOFS_GO 7.943732
Indo-Pacific (27.75,27.85] sal tem oxygen silicate phosphate_star 4.415610 3.528122 2.904076 JGOFS_GO 7.943732
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate 4.363857 3.518213 2.944097 JGOFS_GO 7.882070
Indo-Pacific (27.75,27.85] tem aou oxygen silicate phosphate_star 4.363857 3.518213 2.944097 JGOFS_GO 7.882070
Indo-Pacific (27.75,27.85] tem aou silicate phosphate phosphate_star 4.363857 3.518213 2.944097 JGOFS_GO 7.882070
Indo-Pacific (27.85,27.95] sal tem aou silicate phosphate 4.477943 3.150297 2.933166 GO_new 6.083463
Indo-Pacific (27.85,27.95] sal tem aou silicate phosphate_star 4.493281 3.154056 2.922278 GO_new 6.076335
Indo-Pacific (27.85,27.95] sal tem oxygen silicate phosphate 4.493890 3.153386 2.923580 GO_new 6.076966
Indo-Pacific (27.85,27.95] sal tem oxygen silicate phosphate_star 4.493890 3.153386 2.923580 GO_new 6.076966
Indo-Pacific (27.85,27.95] sal tem silicate phosphate phosphate_star 4.493890 3.153386 2.923580 GO_new 6.076966
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate 4.467585 3.151963 2.948854 GO_new 6.100817
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate_star 4.467585 3.151963 2.948854 GO_new 6.100817
Indo-Pacific (27.85,27.95] tem aou silicate phosphate phosphate_star 4.467585 3.151963 2.948854 GO_new 6.100817
Indo-Pacific (27.85,27.95] tem oxygen silicate phosphate 4.494144 3.156312 2.950521 GO_new 6.106833
Indo-Pacific (27.85,27.95] tem oxygen silicate phosphate phosphate_star 4.494144 3.156312 2.950521 GO_new 6.106833
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate 4.467668 3.158929 2.973036 JGOFS_GO 7.626597
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate phosphate_star 4.467668 3.158929 2.973036 JGOFS_GO 7.626597
Indo-Pacific (27.85,27.95] aou oxygen silicate phosphate_star 4.467668 3.158929 2.973036 JGOFS_GO 7.626597
Indo-Pacific (27.85,27.95] aou silicate phosphate phosphate_star 4.467668 3.158929 2.973036 JGOFS_GO 7.626597
Indo-Pacific (27.85,27.95] sal aou oxygen silicate phosphate 4.467500 3.157743 2.951926 JGOFS_GO 7.625243
Indo-Pacific (27.85,27.95] sal aou oxygen silicate phosphate_star 4.467500 3.157743 2.951926 JGOFS_GO 7.625243
Indo-Pacific (27.85,27.95] sal aou silicate phosphate phosphate_star 4.467500 3.157743 2.951926 JGOFS_GO 7.625243
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate 4.467585 3.151963 2.948854 JGOFS_GO 7.619548
Indo-Pacific (27.85,27.95] tem aou oxygen silicate phosphate_star 4.467585 3.151963 2.948854 JGOFS_GO 7.619548
Indo-Pacific (27.85,27.95] tem aou silicate phosphate phosphate_star 4.467585 3.151963 2.948854 JGOFS_GO 7.619548
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate 4.450675 2.953914 3.064690 GO_new 6.018604
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate_star 4.450675 2.953914 3.064690 GO_new 6.018604
Indo-Pacific (27.95,28.05] sal aou silicate phosphate phosphate_star 4.450675 2.953914 3.064690 GO_new 6.018604
Indo-Pacific (27.95,28.05] sal tem aou silicate phosphate 4.481207 2.976063 3.053333 GO_new 6.029396
Indo-Pacific (27.95,28.05] sal tem oxygen silicate phosphate 4.522889 3.010122 3.051535 GO_new 6.061657
Indo-Pacific (27.95,28.05] sal tem oxygen silicate phosphate_star 4.522889 3.010122 3.051535 GO_new 6.061657
Indo-Pacific (27.95,28.05] sal tem silicate phosphate phosphate_star 4.522889 3.010122 3.051535 GO_new 6.061657
Indo-Pacific (27.95,28.05] tem aou oxygen silicate phosphate 4.486080 2.965907 3.095435 GO_new 6.061343
Indo-Pacific (27.95,28.05] tem aou oxygen silicate phosphate_star 4.486080 2.965907 3.095435 GO_new 6.061343
Indo-Pacific (27.95,28.05] tem aou silicate phosphate phosphate_star 4.486080 2.965907 3.095435 GO_new 6.061343
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate 4.456111 2.976856 3.094638 JGOFS_GO 7.432967
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate phosphate_star 4.456111 2.976856 3.094638 JGOFS_GO 7.432967
Indo-Pacific (27.95,28.05] sal aou oxygen phosphate_star 4.456111 2.976856 3.094638 JGOFS_GO 7.432967
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate 4.450675 2.953914 3.064690 JGOFS_GO 7.404589
Indo-Pacific (27.95,28.05] sal aou oxygen silicate phosphate_star 4.450675 2.953914 3.064690 JGOFS_GO 7.404589
Indo-Pacific (27.95,28.05] sal aou phosphate phosphate_star 4.456111 2.976856 3.094638 JGOFS_GO 7.432967
Indo-Pacific (27.95,28.05] sal aou silicate phosphate phosphate_star 4.450675 2.953914 3.064690 JGOFS_GO 7.404589
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate 4.445549 2.970661 3.094589 JGOFS_GO 7.416209
Indo-Pacific (27.95,28.05] sal tem aou oxygen phosphate_star 4.445549 2.970661 3.094589 JGOFS_GO 7.416209
Indo-Pacific (27.95,28.05] sal tem aou phosphate phosphate_star 4.445549 2.970661 3.094589 JGOFS_GO 7.416209
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate 4.112095 2.899829 2.839694 GO_new 5.739522
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate phosphate_star 4.112095 2.899829 2.839694 GO_new 5.739522
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate 4.110559 2.883672 2.836807 GO_new 5.720479
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate_star 4.110559 2.883672 2.836807 GO_new 5.720479
Indo-Pacific (28.05,28.1] sal aou phosphate phosphate_star 4.112095 2.899829 2.839694 GO_new 5.739522
Indo-Pacific (28.05,28.1] sal aou silicate phosphate phosphate_star 4.110559 2.883672 2.836807 GO_new 5.720479
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate 4.109105 2.897004 2.829897 GO_new 5.726901
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate_star 4.109105 2.897004 2.829897 GO_new 5.726901
Indo-Pacific (28.05,28.1] sal tem aou phosphate phosphate_star 4.109105 2.897004 2.829897 GO_new 5.726901
Indo-Pacific (28.05,28.1] sal tem aou silicate phosphate 4.128948 2.894374 2.844472 GO_new 5.738846
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate 4.112095 2.899829 2.839694 JGOFS_GO 7.011924
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate phosphate_star 4.112095 2.899829 2.839694 JGOFS_GO 7.011924
Indo-Pacific (28.05,28.1] sal aou oxygen phosphate_star 4.112095 2.899829 2.839694 JGOFS_GO 7.011924
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate 4.110559 2.883672 2.836807 JGOFS_GO 6.994231
Indo-Pacific (28.05,28.1] sal aou oxygen silicate phosphate_star 4.110559 2.883672 2.836807 JGOFS_GO 6.994231
Indo-Pacific (28.05,28.1] sal aou phosphate phosphate_star 4.112095 2.899829 2.839694 JGOFS_GO 7.011924
Indo-Pacific (28.05,28.1] sal aou silicate phosphate phosphate_star 4.110559 2.883672 2.836807 JGOFS_GO 6.994231
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate 4.109105 2.897004 2.829897 JGOFS_GO 7.006108
Indo-Pacific (28.05,28.1] sal tem aou oxygen phosphate_star 4.109105 2.897004 2.829897 JGOFS_GO 7.006108
Indo-Pacific (28.05,28.1] sal tem aou phosphate phosphate_star 4.109105 2.897004 2.829897 JGOFS_GO 7.006108
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate 3.964129 3.061130 2.736140 GO_new 5.797270
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate phosphate_star 3.964129 3.061130 2.736140 GO_new 5.797270
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate_star 3.964129 3.061130 2.736140 GO_new 5.797270
Indo-Pacific (28.1, Inf] aou silicate phosphate phosphate_star 3.964129 3.061130 2.736140 GO_new 5.797270
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate 3.964019 3.061123 2.642867 GO_new 5.703989
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate_star 3.964019 3.061123 2.642867 GO_new 5.703989
Indo-Pacific (28.1, Inf] sal aou silicate phosphate phosphate_star 3.964019 3.061123 2.642867 GO_new 5.703989
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate 3.908049 3.012583 2.692997 GO_new 5.705580
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate_star 3.908049 3.012583 2.692997 GO_new 5.705580
Indo-Pacific (28.1, Inf] tem aou silicate phosphate phosphate_star 3.908049 3.012583 2.692997 GO_new 5.705580
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate 3.964129 3.061130 2.736140 JGOFS_GO 7.025259
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate phosphate_star 3.964129 3.061130 2.736140 JGOFS_GO 7.025259
Indo-Pacific (28.1, Inf] aou oxygen silicate phosphate_star 3.964129 3.061130 2.736140 JGOFS_GO 7.025259
Indo-Pacific (28.1, Inf] aou silicate phosphate phosphate_star 3.964129 3.061130 2.736140 JGOFS_GO 7.025259
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate 3.964019 3.061123 2.642867 JGOFS_GO 7.025142
Indo-Pacific (28.1, Inf] sal aou oxygen silicate phosphate_star 3.964019 3.061123 2.642867 JGOFS_GO 7.025142
Indo-Pacific (28.1, Inf] sal aou silicate phosphate phosphate_star 3.964019 3.061123 2.642867 JGOFS_GO 7.025142
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate 3.908049 3.012583 2.692997 JGOFS_GO 6.920632
Indo-Pacific (28.1, Inf] tem aou oxygen silicate phosphate_star 3.908049 3.012583 2.692997 JGOFS_GO 6.920632
Indo-Pacific (28.1, Inf] tem aou silicate phosphate phosphate_star 3.908049 3.012583 2.692997 JGOFS_GO 6.920632

2.3 Correlations RMSE between eras

2.3.1 All models

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)

2.3.2 10 best models

lm_best %>%
  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))

2.4 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"))


# Prepare model coefficients for mapping

all_lm <- all_lm %>% 
  select(term, estimate, basin, era, eras, gamma_slab, model)

all_lm <- all_lm %>% 
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

all_lm_wide <- all_lm %>% 
  pivot_wider(names_from = era, values_from = estimate,
              names_prefix = "coeff_")

all_lm_wide <- all_lm_wide %>% 
  mutate(JGOFS_GO = coeff_GO_SHIP - coeff_JGOFS_WOCE,
         GO_new = coeff_new_era - coeff_GO_SHIP) %>% 
  select(-c(coeff_JGOFS_WOCE,
            coeff_GO_SHIP,
            coeff_new_era))

all_lm_long <- all_lm_wide %>% 
  pivot_longer(JGOFS_GO:GO_new, names_to = "eras_fit", values_to = "delta_coeff")

all_lm_long <- all_lm_long %>% 
  filter(eras == eras_fit) %>% 
  select(-eras_fit)

all_lm_wide <- all_lm_long %>% 
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

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

rm(all_lm_long, all_lm_wide)

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