Last updated: 2020-12-02

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path_preprocessing    <-
  "/nfs/kryo/work/updata/emlr_cant/observations/preprocessing/"

path_version_data     <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/data/",
    sep = ""
  )

path_version_figures  <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/figures/",
    sep = ""
  )

1 Libraries

Loading libraries specific to the the analysis performed in this section.

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

2 Required data

Required are:

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

3 Fitting all models

3.1 RMSE calculation

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.

# loops across all basins and eras
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  )
    
    # subset one basin and era for fitting
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    # loop across all gamma slabs in the current basin and 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)
      
      # subset one gamma slab
      GLODAP_basin_era_slab <- GLODAP_basin_era %>% 
        filter(gamma_slab == i_gamma_slab)

      # fit the full linear model, i.e. all predictor combinations
      lm_full <- lm(
        params_local$MLR_full_model,
        data = GLODAP_basin_era_slab)
      
      # fit linear models for all possible predictor combinations
      # unfortunately, this functions does not provide model coefficients (yet)
      lm_all <- ols_step_all_possible(lm_full)
      
      # extract diagnostics of each linear model
      lm_all <- as_tibble(lm_all$result)
      
      # add currect basin, era, and gamma values
      lm_all <- lm_all %>% 
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      # expanding table with model diagnostics for all eras, basins, slabs
      if (exists("lm_all_stats")) {
        lm_all_stats <- bind_rows(lm_all_stats, lm_all)
      }
      
      if (!exists("lm_all_stats")) {
        lm_all_stats <- lm_all
      }
      
      rm(lm_full, lm_all)
      
    }
    
  }
  
}

# write model diagnostics to file

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

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

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

# lm_all_stats <- read_csv(paste(path_version_data,
#                                "lm_all_stats.csv",
#                                sep = ""))


lm_all_stats <- lm_all_stats %>% 
  filter(n >= params_local$predictors_min,
         n <= params_local$predictors_max)

lm_all_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")

Version Author Date
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30

3.2 RMSE alternatives

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

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

Version Author Date
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30

3.3 Predictor selection

Within each basin and slab, the 10 linear regression models with lowest summed RMSE across two adjacent (ie compared) eras were selected.

# select relevant columns
lm_all_stats <- lm_all_stats %>%
  select(basin, era, gamma_slab, predictors, rmse)

# calculate RMSE sum for adjacent eras
lm_all_stats_eras <- lm_all_stats %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, predictors) %>% 
  mutate(rmse_sum = rmse + lag(rmse),
         eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  arrange(basin, gamma_slab, predictors, era) %>% 
  drop_na()

# subset models with lowest RMSE sum
lm_best <- lm_all_stats_eras %>%
  group_by(basin, gamma_slab, eras) %>%
  slice_min(order_by = rmse_sum,
            with_ties = FALSE,
            n = params_local$MLR_number) %>%
  ungroup() %>% 
  arrange(basin, gamma_slab, eras, predictors, era)

# plot table for website
kable(lm_best) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin era gamma_slab predictors rmse rmse_sum eras
Atlantic 2000-2012 (-Inf,26] sal aou oxygen silicate phosphate 6.446770 12.518444 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal aou oxygen silicate phosphate_star 6.446770 12.518444 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal aou silicate phosphate phosphate_star 6.446770 12.518444 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem aou oxygen phosphate 6.573543 12.631831 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem aou oxygen phosphate_star 6.573543 12.631831 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem aou silicate phosphate 6.509788 12.547537 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem aou silicate phosphate_star 6.517120 12.548096 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem oxygen silicate phosphate 6.523111 12.543418 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem oxygen silicate phosphate_star 6.523111 12.543418 1982-1999 –> 2000-2012
Atlantic 2000-2012 (-Inf,26] sal tem silicate phosphate phosphate_star 6.523111 12.543418 1982-1999 –> 2000-2012
Atlantic 2013-2019 (-Inf,26] sal aou oxygen silicate phosphate 2.728721 9.175491 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal aou oxygen silicate phosphate_star 2.728721 9.175491 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal aou silicate phosphate phosphate_star 2.728721 9.175491 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem aou oxygen phosphate 2.596383 9.169926 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem aou oxygen phosphate_star 2.596383 9.169926 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem aou phosphate phosphate_star 2.596383 9.169926 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem aou silicate phosphate 2.690482 9.200270 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem aou silicate phosphate_star 2.685370 9.202490 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem oxygen silicate phosphate 2.684320 9.207431 2000-2012 –> 2013-2019
Atlantic 2013-2019 (-Inf,26] sal tem oxygen silicate phosphate_star 2.684320 9.207431 2000-2012 –> 2013-2019
Atlantic 2000-2012 (26,26.5] sal tem aou oxygen phosphate 5.136319 9.963518 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] sal tem aou oxygen phosphate_star 5.136319 9.963518 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] sal tem aou phosphate phosphate_star 5.136319 9.963518 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou oxygen phosphate 5.142191 9.978025 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou oxygen phosphate phosphate_star 5.142191 9.978025 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou oxygen phosphate_star 5.142191 9.978025 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou oxygen silicate phosphate 5.130892 9.934180 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou oxygen silicate phosphate_star 5.130892 9.934180 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou phosphate phosphate_star 5.142191 9.978025 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26,26.5] tem aou silicate phosphate phosphate_star 5.130892 9.934180 1982-1999 –> 2000-2012
Atlantic 2013-2019 (26,26.5] sal tem aou oxygen phosphate 2.727349 7.863668 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] sal tem aou oxygen phosphate_star 2.727349 7.863668 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] sal tem aou phosphate phosphate_star 2.727349 7.863668 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou oxygen phosphate 2.808370 7.950562 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou oxygen phosphate phosphate_star 2.808370 7.950562 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou oxygen phosphate_star 2.808370 7.950562 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou oxygen silicate phosphate 2.801538 7.932431 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou oxygen silicate phosphate_star 2.801538 7.932431 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou phosphate phosphate_star 2.808370 7.950562 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26,26.5] tem aou silicate phosphate phosphate_star 2.801538 7.932431 2000-2012 –> 2013-2019
Atlantic 2000-2012 (26.5,26.75] sal tem aou oxygen phosphate 4.248296 8.008264 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem aou oxygen phosphate_star 4.248296 8.008264 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem aou phosphate phosphate_star 4.248296 8.008264 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem aou silicate phosphate_star 4.206024 8.080635 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem oxygen silicate phosphate 4.202137 8.067419 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem oxygen silicate phosphate_star 4.202137 8.067419 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] sal tem silicate phosphate phosphate_star 4.202137 8.067419 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] tem aou oxygen silicate phosphate 4.235850 8.028528 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] tem aou oxygen silicate phosphate_star 4.235850 8.028528 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.5,26.75] tem aou silicate phosphate phosphate_star 4.235850 8.028528 1982-1999 –> 2000-2012
Atlantic 2013-2019 (26.5,26.75] sal tem aou oxygen phosphate 3.119708 7.368005 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem aou oxygen phosphate_star 3.119708 7.368005 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem aou phosphate phosphate_star 3.119708 7.368005 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem aou silicate phosphate_star 3.164120 7.370144 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem oxygen silicate phosphate 3.164229 7.366366 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem oxygen silicate phosphate_star 3.164229 7.366366 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] sal tem silicate phosphate phosphate_star 3.164229 7.366366 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] tem aou oxygen silicate phosphate 3.114510 7.350360 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] tem aou oxygen silicate phosphate_star 3.114510 7.350360 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.5,26.75] tem aou silicate phosphate phosphate_star 3.114510 7.350360 2000-2012 –> 2013-2019
Atlantic 2000-2012 (26.75,27] sal tem aou oxygen phosphate 4.360414 8.713407 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem aou oxygen phosphate_star 4.360414 8.713407 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem aou phosphate phosphate_star 4.360414 8.713407 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem aou phosphate_star 4.367359 8.720793 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem aou silicate phosphate 4.356613 8.692939 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem aou silicate phosphate_star 4.333963 8.660576 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem oxygen phosphate_star 4.367851 8.721622 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem oxygen silicate phosphate 4.333964 8.660787 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem oxygen silicate phosphate_star 4.333964 8.660787 1982-1999 –> 2000-2012
Atlantic 2000-2012 (26.75,27] sal tem silicate phosphate phosphate_star 4.333964 8.660787 1982-1999 –> 2000-2012
Atlantic 2013-2019 (26.75,27] sal tem aou silicate phosphate 3.678809 8.035422 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] sal tem aou silicate phosphate_star 3.681923 8.015886 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] sal tem oxygen silicate phosphate 3.682514 8.016478 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] sal tem oxygen silicate phosphate_star 3.682514 8.016478 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] sal tem silicate phosphate phosphate_star 3.682514 8.016478 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] tem aou oxygen silicate phosphate 3.695972 8.064147 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] tem aou oxygen silicate phosphate_star 3.695972 8.064147 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] tem aou silicate phosphate phosphate_star 3.695972 8.064147 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] tem aou silicate phosphate_star 3.699295 8.069753 2000-2012 –> 2013-2019
Atlantic 2013-2019 (26.75,27] tem oxygen silicate phosphate 3.699843 8.070358 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27,27.25] sal tem aou silicate phosphate_star 4.709058 9.907592 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] sal tem oxygen silicate phosphate 4.714825 9.912489 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] sal tem oxygen silicate phosphate_star 4.714825 9.912489 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] sal tem silicate phosphate phosphate_star 4.714825 9.912489 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem aou oxygen silicate phosphate 4.701316 9.949449 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem aou oxygen silicate phosphate_star 4.701316 9.949449 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem aou silicate phosphate phosphate_star 4.701316 9.949449 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem aou silicate phosphate_star 4.743110 9.994747 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem oxygen silicate phosphate_star 4.748900 10.000240 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27,27.25] tem silicate phosphate phosphate_star 4.748900 10.000240 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27,27.25] sal aou oxygen silicate phosphate 4.737076 9.698728 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal aou oxygen silicate phosphate_star 4.737076 9.698728 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal tem aou silicate phosphate 4.760680 9.541862 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal tem aou silicate phosphate_star 4.782627 9.491685 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal tem oxygen silicate phosphate 4.783279 9.498103 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal tem oxygen silicate phosphate_star 4.783279 9.498103 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] sal tem silicate phosphate phosphate_star 4.783279 9.498103 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] tem aou oxygen silicate phosphate 4.869536 9.570852 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] tem aou oxygen silicate phosphate_star 4.869536 9.570852 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27,27.25] tem aou silicate phosphate phosphate_star 4.869536 9.570852 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27.25,27.5] sal tem aou oxygen phosphate 4.179194 8.762928 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem aou oxygen phosphate_star 4.179194 8.762928 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem aou phosphate phosphate_star 4.179194 8.762928 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem aou silicate phosphate_star 4.178656 8.768145 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem oxygen phosphate 4.182260 8.772177 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem oxygen phosphate phosphate_star 4.182260 8.772177 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem oxygen phosphate_star 4.182260 8.772177 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem oxygen silicate phosphate 4.181959 8.768776 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem oxygen silicate phosphate_star 4.181959 8.768776 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.25,27.5] sal tem silicate phosphate phosphate_star 4.181959 8.768776 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27.25,27.5] sal aou oxygen silicate phosphate 3.859668 8.123212 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal aou oxygen silicate phosphate_star 3.859668 8.123212 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal aou silicate phosphate phosphate_star 3.859668 8.123212 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal tem aou silicate phosphate 3.901209 8.101716 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal tem oxygen silicate phosphate 3.935914 8.117873 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal tem oxygen silicate phosphate_star 3.935914 8.117873 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] sal tem silicate phosphate phosphate_star 3.935914 8.117873 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] tem aou oxygen silicate phosphate 3.843413 8.114852 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] tem aou oxygen silicate phosphate_star 3.843413 8.114852 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.25,27.5] tem aou silicate phosphate phosphate_star 3.843413 8.114852 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27.5,27.75] sal aou oxygen silicate phosphate 4.348180 8.668369 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal aou oxygen silicate phosphate_star 4.348180 8.668369 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal aou silicate phosphate phosphate_star 4.348180 8.668369 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal tem aou silicate phosphate 4.337363 8.668546 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal tem oxygen silicate phosphate 4.338995 8.688911 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal tem oxygen silicate phosphate_star 4.338995 8.688911 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] sal tem silicate phosphate phosphate_star 4.338995 8.688911 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] tem aou oxygen silicate phosphate 4.379270 8.700742 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] tem aou oxygen silicate phosphate_star 4.379270 8.700742 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.5,27.75] tem aou silicate phosphate phosphate_star 4.379270 8.700742 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27.5,27.75] sal aou oxygen silicate phosphate 4.454236 8.802417 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal aou silicate phosphate phosphate_star 4.454236 8.802417 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal tem aou silicate phosphate 4.442462 8.779824 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal tem aou silicate phosphate_star 4.412547 8.763975 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal tem oxygen silicate phosphate 4.427796 8.766791 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal tem oxygen silicate phosphate_star 4.427796 8.766791 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] sal tem silicate phosphate phosphate_star 4.427796 8.766791 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] tem aou oxygen silicate phosphate 4.404808 8.784078 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] tem aou oxygen silicate phosphate_star 4.404808 8.784078 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.5,27.75] tem aou silicate phosphate phosphate_star 4.404808 8.784078 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27.75,27.85] sal aou oxygen silicate phosphate 4.690259 8.988176 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal aou oxygen silicate phosphate_star 4.690259 8.988176 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal aou silicate phosphate 4.691904 8.990229 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal aou silicate phosphate phosphate_star 4.690259 8.988176 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal oxygen silicate phosphate 4.695498 9.012822 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal oxygen silicate phosphate phosphate_star 4.695498 9.012822 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal tem aou silicate phosphate 4.690017 8.985914 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal tem oxygen silicate phosphate 4.691036 8.997614 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal tem oxygen silicate phosphate_star 4.691036 8.997614 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.75,27.85] sal tem silicate phosphate phosphate_star 4.691036 8.997614 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27.75,27.85] sal aou oxygen silicate phosphate 6.730359 11.420618 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal aou oxygen silicate phosphate_star 6.730359 11.420618 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal aou silicate phosphate phosphate_star 6.730359 11.420618 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal tem aou silicate phosphate 6.762289 11.452306 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal tem aou silicate phosphate_star 6.727605 11.423909 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal tem oxygen silicate phosphate_star 6.762002 11.453038 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] sal tem silicate phosphate phosphate_star 6.762002 11.453038 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] tem aou oxygen silicate phosphate 6.650617 11.367302 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] tem aou oxygen silicate phosphate_star 6.650617 11.367302 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.75,27.85] tem aou silicate phosphate phosphate_star 6.650617 11.367302 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27.85,27.95] sal aou oxygen silicate phosphate 4.885371 8.591569 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal aou oxygen silicate phosphate_star 4.885371 8.591569 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal aou silicate phosphate phosphate_star 4.885371 8.591569 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal aou silicate phosphate_star 4.938351 8.649773 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem aou silicate phosphate 4.887553 8.604430 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem aou silicate phosphate_star 4.884559 8.591987 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem oxygen silicate phosphate 4.886511 8.600076 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem oxygen silicate phosphate_star 4.886511 8.600076 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem silicate phosphate 4.981469 8.801289 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.85,27.95] sal tem silicate phosphate phosphate_star 4.886511 8.600076 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27.85,27.95] sal aou oxygen silicate phosphate 4.893184 9.778555 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal aou oxygen silicate phosphate_star 4.893184 9.778555 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal aou silicate phosphate phosphate_star 4.893184 9.778555 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal aou silicate phosphate_star 5.019136 9.957487 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem aou silicate phosphate 4.928597 9.816150 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem aou silicate phosphate_star 4.908498 9.793057 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem oxygen silicate phosphate 4.930139 9.816650 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem oxygen silicate phosphate_star 4.930139 9.816650 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem silicate phosphate 4.938165 9.919634 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.85,27.95] sal tem silicate phosphate phosphate_star 4.930139 9.816650 2000-2012 –> 2013-2019
Atlantic 2000-2012 (27.95,28.05] sal aou oxygen silicate phosphate 5.738505 9.286373 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal aou oxygen silicate phosphate_star 5.738505 9.286373 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal aou silicate phosphate phosphate_star 5.738505 9.286373 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal aou silicate phosphate_star 5.740725 9.294228 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal oxygen silicate phosphate_star 5.801487 9.450195 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal tem aou silicate phosphate 5.770190 9.347012 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal tem aou silicate phosphate_star 5.740490 9.291199 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal tem oxygen silicate phosphate 5.757240 9.323109 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal tem oxygen silicate phosphate_star 5.757240 9.323109 1982-1999 –> 2000-2012
Atlantic 2000-2012 (27.95,28.05] sal tem silicate phosphate phosphate_star 5.757240 9.323109 1982-1999 –> 2000-2012
Atlantic 2013-2019 (27.95,28.05] sal aou oxygen silicate phosphate 5.077554 10.816059 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal aou oxygen silicate phosphate_star 5.077554 10.816059 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal aou silicate phosphate phosphate_star 5.077554 10.816059 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal aou silicate phosphate_star 5.095028 10.835754 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem aou oxygen phosphate 4.909342 10.758163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem aou oxygen phosphate_star 4.909342 10.758163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem aou phosphate phosphate_star 4.909342 10.758163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem aou silicate phosphate_star 5.093985 10.834475 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem oxygen silicate phosphate_star 5.150494 10.907734 2000-2012 –> 2013-2019
Atlantic 2013-2019 (27.95,28.05] sal tem silicate phosphate phosphate_star 5.150494 10.907734 2000-2012 –> 2013-2019
Atlantic 2000-2012 (28.05,28.1] sal tem aou oxygen phosphate 5.932755 9.452717 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] sal tem aou oxygen phosphate_star 5.932755 9.452717 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] sal tem aou phosphate phosphate_star 5.932755 9.452717 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] sal tem aou silicate phosphate_star 6.097779 9.683318 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou oxygen phosphate 6.026452 9.696971 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou oxygen phosphate phosphate_star 6.026452 9.696971 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou oxygen phosphate_star 6.026452 9.696971 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou oxygen silicate phosphate 5.936568 9.582293 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou oxygen silicate phosphate_star 5.936568 9.582293 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.05,28.1] tem aou silicate phosphate phosphate_star 5.936568 9.582293 1982-1999 –> 2000-2012
Atlantic 2013-2019 (28.05,28.1] sal tem aou oxygen phosphate 4.579117 10.511872 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] sal tem aou oxygen phosphate_star 4.579117 10.511872 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] sal tem aou phosphate phosphate_star 4.579117 10.511872 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou oxygen phosphate 4.580169 10.606621 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou oxygen phosphate phosphate_star 4.580169 10.606621 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou oxygen phosphate_star 4.580169 10.606621 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou oxygen silicate phosphate 4.519272 10.455840 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou oxygen silicate phosphate_star 4.519272 10.455840 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou phosphate phosphate_star 4.580169 10.606621 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.05,28.1] tem aou silicate phosphate phosphate_star 4.519272 10.455840 2000-2012 –> 2013-2019
Atlantic 2000-2012 (28.1,28.15] sal tem aou oxygen phosphate 6.663587 10.125704 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem aou oxygen phosphate_star 6.663587 10.125704 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem aou phosphate phosphate_star 6.663587 10.125704 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem aou phosphate_star 6.673994 10.144965 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem aou silicate phosphate_star 6.666140 10.107288 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem oxygen silicate phosphate 6.667478 10.108027 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem oxygen silicate phosphate_star 6.667478 10.108027 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem phosphate phosphate_star 6.673367 10.146370 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem silicate phosphate phosphate_star 6.667478 10.108027 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.1,28.15] sal tem silicate phosphate_star 6.669045 10.116689 1982-1999 –> 2000-2012
Atlantic 2013-2019 (28.1,28.15] sal tem aou oxygen phosphate 4.691179 11.354767 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem aou oxygen phosphate_star 4.691179 11.354767 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem aou phosphate phosphate_star 4.691179 11.354767 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem aou silicate phosphate_star 4.743879 11.410019 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem oxygen silicate phosphate 4.746503 11.413981 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem oxygen silicate phosphate_star 4.746503 11.413981 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] sal tem silicate phosphate phosphate_star 4.746503 11.413981 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] tem aou oxygen silicate phosphate 4.687568 11.399807 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] tem aou oxygen silicate phosphate_star 4.687568 11.399807 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.1,28.15] tem aou silicate phosphate phosphate_star 4.687568 11.399807 2000-2012 –> 2013-2019
Atlantic 2000-2012 (28.15,28.2] sal aou oxygen silicate phosphate 3.512680 6.995892 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal aou oxygen silicate phosphate_star 3.512680 6.995892 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal aou silicate phosphate phosphate_star 3.512680 6.995892 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal tem aou oxygen phosphate 3.511563 6.978371 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal tem aou oxygen phosphate_star 3.511563 6.978371 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal tem aou phosphate phosphate_star 3.511563 6.978371 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] sal tem aou silicate phosphate 3.513504 6.984252 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] tem aou oxygen silicate phosphate 3.523840 7.006837 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] tem aou oxygen silicate phosphate_star 3.523840 7.006837 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.15,28.2] tem aou silicate phosphate phosphate_star 3.523840 7.006837 1982-1999 –> 2000-2012
Atlantic 2013-2019 (28.15,28.2] sal aou oxygen silicate phosphate 2.921525 6.434205 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal aou oxygen silicate phosphate_star 2.921525 6.434205 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal aou silicate phosphate phosphate_star 2.921525 6.434205 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem aou oxygen phosphate 2.910600 6.422163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem aou oxygen phosphate_star 2.910600 6.422163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem aou phosphate 2.910619 6.446814 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem aou phosphate phosphate_star 2.910600 6.422163 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem aou silicate phosphate 2.904569 6.418073 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem oxygen silicate phosphate_star 2.912375 6.460174 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.15,28.2] sal tem silicate phosphate phosphate_star 2.912375 6.460174 2000-2012 –> 2013-2019
Atlantic 2000-2012 (28.2, Inf] sal aou oxygen phosphate 3.025095 5.874140 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou oxygen phosphate phosphate_star 3.025095 5.874140 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou oxygen phosphate_star 3.025095 5.874140 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou oxygen silicate phosphate 3.020253 5.861716 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou oxygen silicate phosphate_star 3.020253 5.861716 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou phosphate phosphate_star 3.025095 5.874140 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal aou silicate phosphate phosphate_star 3.020253 5.861716 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal tem aou oxygen phosphate 3.022294 5.870065 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal tem aou oxygen phosphate_star 3.022294 5.870065 1982-1999 –> 2000-2012
Atlantic 2000-2012 (28.2, Inf] sal tem aou phosphate phosphate_star 3.022294 5.870065 1982-1999 –> 2000-2012
Atlantic 2013-2019 (28.2, Inf] sal aou oxygen silicate phosphate 2.879832 5.900085 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal aou oxygen silicate phosphate_star 2.879832 5.900085 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal aou silicate phosphate 2.899339 5.919967 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal aou silicate phosphate phosphate_star 2.879832 5.900085 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal oxygen silicate phosphate_star 2.880829 5.920535 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal silicate phosphate phosphate_star 2.880829 5.920535 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal tem aou silicate phosphate 2.899066 5.919534 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal tem oxygen silicate phosphate 2.880233 5.916931 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal tem oxygen silicate phosphate_star 2.880233 5.916931 2000-2012 –> 2013-2019
Atlantic 2013-2019 (28.2, Inf] sal tem silicate phosphate phosphate_star 2.880233 5.916931 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (-Inf,26] sal aou oxygen silicate phosphate 6.382846 17.782020 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal aou oxygen silicate phosphate_star 6.382846 17.782020 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal aou silicate phosphate phosphate_star 6.382846 17.782020 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem aou phosphate phosphate_star 6.772556 18.516934 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem aou silicate phosphate 6.499343 17.930861 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem aou silicate phosphate_star 6.538589 17.987478 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem oxygen silicate phosphate 6.555662 18.010692 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem oxygen silicate phosphate_star 6.555662 18.010692 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem silicate phosphate phosphate_star 6.555662 18.010692 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (-Inf,26] sal tem silicate phosphate_star 6.777762 18.372964 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (-Inf,26] sal aou oxygen silicate phosphate 5.446200 11.829046 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal aou oxygen silicate phosphate_star 5.446200 11.829046 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal aou silicate phosphate phosphate_star 5.446200 11.829046 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem aou oxygen phosphate 5.867660 12.640216 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem aou oxygen phosphate_star 5.867660 12.640216 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem aou silicate phosphate 5.680341 12.179684 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem aou silicate phosphate_star 5.748744 12.287333 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem oxygen silicate phosphate 5.791662 12.347324 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem oxygen silicate phosphate_star 5.791662 12.347324 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (-Inf,26] sal tem silicate phosphate phosphate_star 5.791662 12.347324 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (26,26.5] sal aou oxygen silicate phosphate 4.746536 12.220507 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal aou oxygen silicate phosphate_star 4.746536 12.220507 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal aou silicate phosphate phosphate_star 4.746536 12.220507 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem aou oxygen phosphate 4.964585 12.614270 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem aou silicate phosphate 4.759256 12.298676 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem aou silicate phosphate_star 4.787274 12.360645 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem oxygen silicate phosphate 4.788708 12.363756 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem oxygen silicate phosphate_star 4.788708 12.363756 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem silicate phosphate phosphate_star 4.788708 12.363756 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26,26.5] sal tem silicate phosphate_star 4.809740 12.399154 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (26,26.5] sal aou oxygen silicate phosphate 3.951995 8.698531 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal aou oxygen silicate phosphate_star 3.951995 8.698531 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal aou silicate phosphate phosphate_star 3.951995 8.698531 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem aou phosphate phosphate_star 4.310251 9.274837 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem aou silicate phosphate 4.049322 8.808578 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem aou silicate phosphate_star 4.098276 8.885551 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem oxygen silicate phosphate 4.097894 8.886602 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem oxygen silicate phosphate_star 4.097894 8.886602 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem silicate phosphate phosphate_star 4.097894 8.886602 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26,26.5] sal tem silicate phosphate_star 4.098581 8.908321 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (26.5,26.75] sal aou oxygen phosphate 5.365868 11.066878 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou oxygen phosphate phosphate_star 5.365868 11.066878 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou oxygen phosphate_star 5.365868 11.066878 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou oxygen silicate phosphate 5.365268 10.995337 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou oxygen silicate phosphate_star 5.365268 10.995337 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou phosphate phosphate_star 5.365868 11.066878 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal aou silicate phosphate phosphate_star 5.365268 10.995337 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal tem aou oxygen phosphate 5.365041 11.066011 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal tem aou oxygen phosphate_star 5.365041 11.066011 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.5,26.75] sal tem aou phosphate phosphate_star 5.365041 11.066011 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (26.5,26.75] sal aou oxygen phosphate 4.664114 10.029982 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou oxygen phosphate phosphate_star 4.664114 10.029982 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou oxygen phosphate_star 4.664114 10.029982 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou oxygen silicate phosphate 4.589254 9.954522 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou oxygen silicate phosphate_star 4.589254 9.954522 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou phosphate phosphate_star 4.664114 10.029982 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal aou silicate phosphate phosphate_star 4.589254 9.954522 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal tem aou oxygen phosphate 4.648956 10.013996 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal tem aou oxygen phosphate_star 4.648956 10.013996 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.5,26.75] sal tem aou phosphate phosphate_star 4.648956 10.013996 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (26.75,27] sal tem aou oxygen phosphate 5.005957 11.349111 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] sal tem aou oxygen phosphate_star 5.005957 11.349111 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] sal tem aou phosphate phosphate_star 5.005957 11.349111 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou oxygen phosphate 5.012107 11.355314 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou oxygen phosphate phosphate_star 5.012107 11.355314 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou oxygen phosphate_star 5.012107 11.355314 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou oxygen silicate phosphate 4.981285 11.301194 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou oxygen silicate phosphate_star 4.981285 11.301194 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou phosphate phosphate_star 5.012107 11.355314 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (26.75,27] tem aou silicate phosphate phosphate_star 4.981285 11.301194 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (26.75,27] sal tem aou oxygen phosphate 4.315630 9.321587 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] sal tem aou oxygen phosphate_star 4.315630 9.321587 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] sal tem aou phosphate phosphate_star 4.315630 9.321587 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou oxygen phosphate 4.324421 9.336528 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou oxygen phosphate phosphate_star 4.324421 9.336528 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou oxygen phosphate_star 4.324421 9.336528 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou oxygen silicate phosphate 4.308653 9.289937 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou oxygen silicate phosphate_star 4.308653 9.289937 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou phosphate phosphate_star 4.324421 9.336528 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (26.75,27] tem aou silicate phosphate phosphate_star 4.308653 9.289937 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27,27.25] sal aou oxygen silicate phosphate 4.773061 10.941716 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] sal aou oxygen silicate phosphate_star 4.773061 10.941716 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] sal aou silicate phosphate phosphate_star 4.773061 10.941716 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] sal tem aou oxygen phosphate 4.749776 10.783988 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] sal tem aou oxygen phosphate_star 4.749776 10.783988 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] sal tem aou phosphate phosphate_star 4.749776 10.783988 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] tem aou oxygen silicate phosphate 4.693978 10.646400 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] tem aou oxygen silicate phosphate_star 4.693978 10.646400 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] tem aou phosphate phosphate_star 4.880383 10.979896 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27,27.25] tem aou silicate phosphate phosphate_star 4.693978 10.646400 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27,27.25] sal aou oxygen silicate phosphate 4.158213 8.931275 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal aou oxygen silicate phosphate_star 4.158213 8.931275 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal aou silicate phosphate phosphate_star 4.158213 8.931275 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal tem aou oxygen phosphate 4.170069 8.919845 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal tem aou oxygen phosphate_star 4.170069 8.919845 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal tem aou phosphate phosphate_star 4.170069 8.919845 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] sal tem aou silicate phosphate 4.173867 8.954467 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] tem aou oxygen silicate phosphate 4.083208 8.777186 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] tem aou oxygen silicate phosphate_star 4.083208 8.777186 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27,27.25] tem aou silicate phosphate phosphate_star 4.083208 8.777186 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27.25,27.5] sal tem aou oxygen phosphate 4.312410 9.143720 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] sal tem aou oxygen phosphate_star 4.312410 9.143720 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] sal tem aou phosphate phosphate_star 4.312410 9.143720 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou oxygen phosphate 4.350064 9.199345 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou oxygen phosphate phosphate_star 4.350064 9.199345 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou oxygen phosphate_star 4.350064 9.199345 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou oxygen silicate phosphate 4.103948 8.901021 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou oxygen silicate phosphate_star 4.103948 8.901021 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou phosphate phosphate_star 4.350064 9.199345 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.25,27.5] tem aou silicate phosphate phosphate_star 4.103948 8.901021 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27.25,27.5] sal aou oxygen silicate phosphate 3.270995 7.499409 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal aou oxygen silicate phosphate_star 3.270995 7.499409 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal aou silicate phosphate 3.304707 7.594365 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal aou silicate phosphate phosphate_star 3.270995 7.499409 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal tem aou silicate phosphate 3.274877 7.531761 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal tem aou silicate phosphate_star 3.283048 7.585998 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal tem oxygen silicate phosphate 3.281384 7.574943 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal tem oxygen silicate phosphate_star 3.281384 7.574943 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] sal tem silicate phosphate phosphate_star 3.281384 7.574943 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.25,27.5] tem aou oxygen silicate phosphate_star 3.574838 7.678787 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27.5,27.75] sal aou oxygen silicate phosphate 3.806972 8.516369 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] sal aou oxygen silicate phosphate_star 3.806972 8.516369 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] sal aou silicate phosphate phosphate_star 3.806972 8.516369 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] sal tem aou oxygen phosphate 4.021376 8.498585 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] sal tem aou oxygen phosphate_star 4.021376 8.498585 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] sal tem aou phosphate phosphate_star 4.021376 8.498585 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] tem aou oxygen phosphate_star 4.089631 8.566857 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] tem aou oxygen silicate phosphate 4.017873 8.477925 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] tem aou oxygen silicate phosphate_star 4.017873 8.477925 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.5,27.75] tem aou silicate phosphate phosphate_star 4.017873 8.477925 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27.5,27.75] sal aou oxygen silicate phosphate 2.976658 6.783630 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal aou oxygen silicate phosphate_star 2.976658 6.783630 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal aou silicate phosphate 3.117945 7.099913 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal aou silicate phosphate phosphate_star 2.976658 6.783630 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem aou silicate phosphate 2.975163 6.780257 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem aou silicate phosphate_star 2.974569 6.788626 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem oxygen silicate phosphate 2.974597 6.787567 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem oxygen silicate phosphate_star 2.974597 6.787567 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem silicate phosphate phosphate_star 2.974597 6.787567 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.5,27.75] sal tem silicate phosphate_star 3.072150 6.917647 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27.75,27.85] sal tem aou oxygen phosphate 3.368877 7.474893 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] sal tem aou oxygen phosphate_star 3.368877 7.474893 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] sal tem aou phosphate phosphate_star 3.368877 7.474893 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou oxygen phosphate 3.369535 7.482781 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou oxygen phosphate phosphate_star 3.369535 7.482781 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou oxygen phosphate_star 3.369535 7.482781 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou oxygen silicate phosphate 3.311254 7.424455 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou oxygen silicate phosphate_star 3.311254 7.424455 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou phosphate phosphate_star 3.369535 7.482781 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.75,27.85] tem aou silicate phosphate phosphate_star 3.311254 7.424455 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27.75,27.85] sal tem aou silicate phosphate 2.877533 6.234006 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] sal tem aou silicate phosphate_star 2.866808 6.201961 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] sal tem oxygen silicate phosphate 2.866847 6.200557 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] sal tem oxygen silicate phosphate_star 2.866847 6.200557 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] sal tem silicate phosphate phosphate_star 2.866847 6.200557 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] sal tem silicate phosphate_star 2.866886 6.226521 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] tem aou oxygen silicate phosphate 2.908008 6.219262 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] tem aou oxygen silicate phosphate_star 2.908008 6.219262 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] tem aou silicate phosphate phosphate_star 2.908008 6.219262 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.75,27.85] tem silicate phosphate phosphate_star 2.919082 6.257604 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27.85,27.95] aou oxygen silicate phosphate 3.020440 7.317989 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] aou oxygen silicate phosphate phosphate_star 3.020440 7.317989 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] aou oxygen silicate phosphate_star 3.020440 7.317989 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] aou silicate phosphate phosphate_star 3.020440 7.317989 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] sal aou oxygen silicate phosphate 3.020316 7.316696 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] sal aou oxygen silicate phosphate_star 3.020316 7.316696 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] sal aou silicate phosphate phosphate_star 3.020316 7.316696 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] tem aou oxygen silicate phosphate 3.015558 7.313092 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] tem aou oxygen silicate phosphate_star 3.015558 7.313092 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.85,27.95] tem aou silicate phosphate phosphate_star 3.015558 7.313092 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27.85,27.95] sal tem aou silicate phosphate 2.866566 5.882913 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] sal tem aou silicate phosphate_star 2.859085 5.882181 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] sal tem oxygen silicate phosphate 2.859051 5.883043 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] sal tem oxygen silicate phosphate_star 2.859051 5.883043 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] sal tem silicate phosphate phosphate_star 2.859051 5.883043 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] sal tem silicate phosphate_star 2.859166 5.903344 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] tem aou oxygen silicate phosphate 2.884353 5.899911 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] tem aou oxygen silicate phosphate_star 2.884353 5.899911 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] tem aou silicate phosphate 2.886725 5.903075 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.85,27.95] tem aou silicate phosphate phosphate_star 2.884353 5.899911 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (27.95,28.05] sal aou oxygen phosphate 2.882262 7.140450 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou oxygen phosphate phosphate_star 2.882262 7.140450 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou oxygen phosphate_star 2.882262 7.140450 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou oxygen silicate phosphate 2.860814 7.117364 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou oxygen silicate phosphate_star 2.860814 7.117364 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou phosphate phosphate_star 2.882262 7.140450 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal aou silicate phosphate phosphate_star 2.860814 7.117364 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal tem aou oxygen phosphate 2.875437 7.126786 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal tem aou oxygen phosphate_star 2.875437 7.126786 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (27.95,28.05] sal tem aou phosphate phosphate_star 2.875437 7.126786 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (27.95,28.05] sal aou oxygen silicate phosphate 3.058382 5.919197 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal aou oxygen silicate phosphate_star 3.058382 5.919197 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal aou silicate phosphate phosphate_star 3.058382 5.919197 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal tem aou oxygen phosphate 3.085178 5.960615 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal tem aou oxygen phosphate_star 3.085178 5.960615 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal tem aou phosphate phosphate_star 3.085178 5.960615 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] sal tem aou silicate phosphate 3.046502 5.933889 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] tem aou oxygen silicate phosphate 3.088661 5.959650 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] tem aou oxygen silicate phosphate_star 3.088661 5.959650 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (27.95,28.05] tem aou silicate phosphate phosphate_star 3.088661 5.959650 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (28.05,28.1] sal aou oxygen phosphate 2.846988 6.907189 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou oxygen phosphate phosphate_star 2.846988 6.907189 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou oxygen phosphate_star 2.846988 6.907189 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou oxygen silicate phosphate 2.829597 6.881145 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou oxygen silicate phosphate_star 2.829597 6.881145 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou phosphate phosphate_star 2.846988 6.907189 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal aou silicate phosphate phosphate_star 2.829597 6.881145 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal tem aou oxygen phosphate 2.845020 6.897846 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal tem aou oxygen phosphate_star 2.845020 6.897846 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.05,28.1] sal tem aou phosphate phosphate_star 2.845020 6.897846 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (28.05,28.1] sal aou oxygen phosphate 2.818529 5.665517 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou oxygen phosphate phosphate_star 2.818529 5.665517 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou oxygen phosphate_star 2.818529 5.665517 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou oxygen silicate phosphate 2.816657 5.646255 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou oxygen silicate phosphate_star 2.816657 5.646255 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou phosphate phosphate_star 2.818529 5.665517 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal aou silicate phosphate phosphate_star 2.816657 5.646255 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal tem aou oxygen phosphate 2.809125 5.654146 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal tem aou oxygen phosphate_star 2.809125 5.654146 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.05,28.1] sal tem aou phosphate phosphate_star 2.809125 5.654146 2000-2012 –> 2013-2019
Indo-Pacific 2000-2012 (28.1, Inf] aou oxygen silicate phosphate 3.119228 6.935474 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] aou oxygen silicate phosphate phosphate_star 3.119228 6.935474 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] aou oxygen silicate phosphate_star 3.119228 6.935474 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] aou silicate phosphate phosphate_star 3.119228 6.935474 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] sal aou oxygen silicate phosphate 3.118070 6.915110 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] sal aou oxygen silicate phosphate_star 3.118070 6.915110 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] sal aou silicate phosphate phosphate_star 3.118070 6.915110 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] tem aou oxygen silicate phosphate 3.066430 6.834195 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] tem aou oxygen silicate phosphate_star 3.066430 6.834195 1982-1999 –> 2000-2012
Indo-Pacific 2000-2012 (28.1, Inf] tem aou silicate phosphate phosphate_star 3.066430 6.834195 1982-1999 –> 2000-2012
Indo-Pacific 2013-2019 (28.1, Inf] aou oxygen silicate phosphate 2.697320 5.816548 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] aou oxygen silicate phosphate phosphate_star 2.697320 5.816548 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] aou oxygen silicate phosphate_star 2.697320 5.816548 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] aou silicate phosphate phosphate_star 2.697320 5.816548 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] sal aou oxygen silicate phosphate 2.608983 5.727053 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] sal aou oxygen silicate phosphate_star 2.608983 5.727053 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] sal aou silicate phosphate phosphate_star 2.608983 5.727053 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] tem aou oxygen silicate phosphate 2.650916 5.717346 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] tem aou oxygen silicate phosphate_star 2.650916 5.717346 2000-2012 –> 2013-2019
Indo-Pacific 2013-2019 (28.1, Inf] tem aou silicate phosphate phosphate_star 2.650916 5.717346 2000-2012 –> 2013-2019

3.4 Correlations RMSE between eras

3.4.1 All models

max_rmse <-
  max(c(lm_all_stats_eras$rmse,
        lm_all_stats_eras$rmse_sum - lm_all_stats_eras$rmse))

lm_all_stats_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Version Author Date
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)

3.4.2 Best models

max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Version Author Date
b03ddb8 jens-daniel-mueller 2020-12-02
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30 
rm(max_rmse)
# this code tests the rmse output of the ols_step_all_possible() function used
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))

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.

# format model formula
lm_best <- lm_best %>% 
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste("cstar ~", lm_coeff))


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

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

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

# extend best model selection from eras to era
lm_best <- lm_best %>% 
  select(-era)

lm_best <- full_join(lm_best, eras_era)
rm(eras_era, eras_forward, eras_backward, lm_all_stats, lm_all_stats_eras)
# select required columns
lm_best <- lm_best %>% 
  select(basin, gamma_slab, era, eras, predictors, lm_coeff, rmse_sum)

# run similar loop as for rmse calculation
# to get model coefficients for 10 best models
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_era <- lm_best %>%
      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_best_basin_era_slab <- lm_best_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_eras in unique(lm_best_basin_era_slab$eras)) {
        # i_eras <- unique(lm_best_basin_era_slab$eras)[1]
        lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
          filter(eras == i_eras)
        
        for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
          # i_predictors <- unique(lm_best_basin_era_slab_eras$predictors)[2]
          print(i_predictors)
          
          lm_best_single <- lm_best_basin_era_slab_eras %>%
            filter(predictors == i_predictors) %>%
            select(lm_coeff) %>%
            pull()
          
          i_rmse_sum <- lm_best_basin_era_slab_eras %>%
            filter(predictors == i_predictors) %>%
            select(rmse_sum) %>%
            pull()
          
          lm_best_single_formula <- as.formula(lm_best_single)
          
          lm_fit_single <- lm(lm_best_single_formula,
                              data = GLODAP_basin_era_slab)
          

          if (params_local$plot_all_figures == "y") {
          # plotting model diagnostics
          p_model <- ggnostic(
            lm_fit_single,
            columnsY = c("cstar", ".fitted", ".resid"),
            title = paste("eras:", i_eras,
                          "| era:", i_era,
                          "| basin:", i_basin,
                          "| gamma slab:", i_gamma_slab,
                          "| predictors:", i_predictors)
          )

          ggsave(
            plot = p_model,
            path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
            filename = paste(
              i_eras,
              i_era,
              i_basin,
              i_gamma_slab,
              i_predictors,
              "eMLR_cstar_residuals.png",
              sep = "_"
          ),
          width = 14,
          height = 8
          )
          
          rm(p_model)
          
          }

          # collect model coefficients in data frame
          coefficients <- tidy(lm_fit_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
            )
          
          if (exists("lm_all")) {
            lm_all <- bind_rows(lm_all, coefficients)
          }
          
          if (!exists("lm_all")) {
            lm_all <- coefficients
          }
          
        }
        
        
      }
    }
    
  }
  
}


rm(lm_fit_single, coefficients, i_rmse_sum,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   lm_best, lm_best_basin_era, lm_best_basin_era_slab, lm_best_basin_era_slab_eras,
   lm_best_single, lm_best_single_formula,
   i_basin, i_era, i_gamma_slab, i_predictors)

4.1 Prepare coeffcients

Coefficients are prepared for the mapping of cstar and cant.

# select relevant columns
lm_all <- lm_all %>% 
  select(basin, gamma_slab, era, eras, model, term, estimate)

# set coefficient to zero if not fitted (=NA)
lm_all <- lm_all %>% 
  mutate(estimate = if_else(is.na(estimate), 0, estimate))


# Prepare model coefficients for mapping of cstar
lm_all_cstar <- lm_all %>% 
  pivot_wider(values_from = estimate,
              names_from = term,
              names_prefix = "coeff_",
              values_fill = 0)


# Prepare model coefficients differences for mapping of cant
# this requires to subtract coefficients of adjacent era
lm_all_long <- lm_all %>% 
  arrange(era) %>% 
  group_by(basin, gamma_slab, eras, model, term) %>% 
  mutate(delta_coeff = estimate - lag(estimate)) %>% 
  ungroup() %>% 
  arrange(basin, gamma_slab, model, term, eras) %>% 
  drop_na() %>% 
  select(-c(era,estimate))


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

4.2 Write files

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

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

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.0  collapse_1.4.2   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1