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1 Required data

Required are:

  • cleaned and prepared GLODAP-based synthetic cmorized model subsetting file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

  • pairs of seven potential predictor variables and
  • C* and seven potential predictor variables

were investigated based on:

  • property-property plots and
  • calculated correlation coefficients.

2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

for (i_basin in unique(GLODAP$basin)) {
# i_basin <- unique(GLODAP$basin)[1]

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

Individual correlation plots for each basin, era and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {

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]

    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)[5]

      GLODAP_highlight <- GLODAP_basin_era %>%
        mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                         "in", "out")) %>%
        arrange(desc(gamma_highlight))
      
      p <- GLODAP_highlight %>%
        ggpairs(
          columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          ggplot2::aes(
            col = gamma_highlight,
            fill = gamma_highlight,
            alpha = 0.01
          )
        ) +
        scale_fill_manual(values = c("red", "grey")) +
        scale_color_manual(values = c("red", "grey")) +
        labs(
          title = paste(
            i_era,
            "|",
            i_basin,
            "| Gamma slab",
            i_gamma_slab,
            "| # obs total",
            nrow(GLODAP_basin_era),
            "| # obs slab",
            nrow(GLODAP_highlight %>%
                   filter(gamma_highlight == "in"))
          )
        )
      
      png(
        filename = paste(
          path_version_figures,
          "Observations_correlation/",
          paste(
            "Predictor_correlation",
            i_era,
            i_basin,
            i_gamma_slab,
            ".png",
            sep = "_"
          ),
          sep = ""),
        width = 12,
        height = 12,
        units = "in",
        res = 300
      )
      
      print(p)
      
      dev.off()
      
    }
  }
}

}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated individually within each slabs, era and basin.

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]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

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

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

# calculate min, max, mean across all eras
cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

# plot figure
cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
pair basin gamma_slab mean_r min_r max_r
aou + nitrate Atlantic (-Inf,26] 0.8459927 0.7712204 0.9414839
aou + nitrate Atlantic (26,26.5] 0.9395526 0.9061049 0.9711160
aou + nitrate Atlantic (26.5,26.75] 0.9529842 0.9213283 0.9795547
aou + nitrate Atlantic (26.75,27] 0.9475399 0.9051449 0.9851667
aou + nitrate Atlantic (27,27.25] 0.9116562 0.8262462 0.9725225
aou + nitrate Atlantic (27.25,27.5] 0.8604877 0.7461531 0.9206741
aou + nitrate Atlantic (27.5,27.75] 0.6920732 0.4813911 0.8325624
aou + nitrate Atlantic (27.75,27.85] 0.4156330 0.1358151 0.6760882
aou + nitrate Atlantic (27.85,27.95] 0.5728383 0.2323220 0.7669861
aou + nitrate Atlantic (27.95,28.05] 0.7785686 0.5842435 0.8949586
aou + nitrate Atlantic (28.05,28.1] 0.9449804 0.9113714 0.9640694
aou + nitrate Atlantic (28.1,28.15] 0.9637678 0.9298012 0.9832119
aou + nitrate Atlantic (28.15,28.2] 0.9784852 0.9658867 0.9924564
aou + nitrate Atlantic (28.2, Inf] 0.9227102 0.8909483 0.9583416
aou + nitrate Indo-Pacific (-Inf,26] 0.9303632 0.9172975 0.9382744
aou + nitrate Indo-Pacific (26,26.5] 0.8778058 0.8037349 0.9318896
aou + nitrate Indo-Pacific (26.5,26.75] 0.8730691 0.8425112 0.9004273
aou + nitrate Indo-Pacific (26.75,27] 0.8809745 0.8601080 0.9050888
aou + nitrate Indo-Pacific (27,27.25] 0.9126565 0.8895931 0.9312594
aou + nitrate Indo-Pacific (27.25,27.5] 0.9400195 0.9258529 0.9551393
aou + nitrate Indo-Pacific (27.5,27.75] 0.9577931 0.9391057 0.9741177
aou + nitrate Indo-Pacific (27.75,27.85] 0.9710438 0.9589524 0.9801076
aou + nitrate Indo-Pacific (27.85,27.95] 0.9774417 0.9643249 0.9859380
aou + nitrate Indo-Pacific (27.95,28.05] 0.9891499 0.9802211 0.9948893
aou + nitrate Indo-Pacific (28.05,28.1] 0.9898033 0.9834431 0.9952965
aou + nitrate Indo-Pacific (28.1, Inf] 0.9846694 0.9746561 0.9927482
aou + phosphate Atlantic (-Inf,26] 0.8570830 0.7730560 0.9078267
aou + phosphate Atlantic (26,26.5] 0.8696023 0.8128400 0.9295003
aou + phosphate Atlantic (26.5,26.75] 0.8939323 0.8321751 0.9464866
aou + phosphate Atlantic (26.75,27] 0.8987644 0.8206424 0.9616186
aou + phosphate Atlantic (27,27.25] 0.8610246 0.7287687 0.9512947
aou + phosphate Atlantic (27.25,27.5] 0.8038560 0.6482970 0.8901287
aou + phosphate Atlantic (27.5,27.75] 0.6238250 0.3668103 0.7902840
aou + phosphate Atlantic (27.75,27.85] 0.3616340 0.0605990 0.6335586
aou + phosphate Atlantic (27.85,27.95] 0.5427531 0.1906758 0.7505723
aou + phosphate Atlantic (27.95,28.05] 0.7642476 0.5686509 0.8856222
aou + phosphate Atlantic (28.05,28.1] 0.9408028 0.9078077 0.9597844
aou + phosphate Atlantic (28.1,28.15] 0.9606354 0.9260941 0.9793935
aou + phosphate Atlantic (28.15,28.2] 0.9792205 0.9684534 0.9911309
aou + phosphate Atlantic (28.2, Inf] 0.9013696 0.8574432 0.9612080
aou + phosphate Indo-Pacific (-Inf,26] 0.9224588 0.8984794 0.9507907
aou + phosphate Indo-Pacific (26,26.5] 0.9159751 0.9035973 0.9339550
aou + phosphate Indo-Pacific (26.5,26.75] 0.9093934 0.8891662 0.9291083
aou + phosphate Indo-Pacific (26.75,27] 0.9331001 0.9110895 0.9586883
aou + phosphate Indo-Pacific (27,27.25] 0.9441472 0.9364417 0.9482015
aou + phosphate Indo-Pacific (27.25,27.5] 0.9637477 0.9571403 0.9689639
aou + phosphate Indo-Pacific (27.5,27.75] 0.9761229 0.9696377 0.9838610
aou + phosphate Indo-Pacific (27.75,27.85] 0.9841858 0.9827769 0.9865096
aou + phosphate Indo-Pacific (27.85,27.95] 0.9889703 0.9876692 0.9898332
aou + phosphate Indo-Pacific (27.95,28.05] 0.9918079 0.9879890 0.9948911
aou + phosphate Indo-Pacific (28.05,28.1] 0.9928680 0.9912441 0.9959464
aou + phosphate Indo-Pacific (28.1, Inf] 0.9881249 0.9819458 0.9932819
aou + phosphate_star Atlantic (-Inf,26] 0.0288845 -0.0236839 0.0939031
aou + phosphate_star Atlantic (26,26.5] -0.1261305 -0.3801414 0.2207877
aou + phosphate_star Atlantic (26.5,26.75] -0.3533278 -0.4368280 -0.2980339
aou + phosphate_star Atlantic (26.75,27] -0.4813145 -0.5499121 -0.4143817
aou + phosphate_star Atlantic (27,27.25] -0.3532800 -0.4485643 -0.2269264
aou + phosphate_star Atlantic (27.25,27.5] -0.2232215 -0.4043019 -0.1297051
aou + phosphate_star Atlantic (27.5,27.75] -0.1523907 -0.4278245 0.1292850
aou + phosphate_star Atlantic (27.75,27.85] -0.2027959 -0.4986901 0.1426868
aou + phosphate_star Atlantic (27.85,27.95] 0.1594532 -0.2411295 0.4159903
aou + phosphate_star Atlantic (27.95,28.05] 0.5248945 0.2708622 0.6974088
aou + phosphate_star Atlantic (28.05,28.1] 0.8467165 0.8034119 0.8866030
aou + phosphate_star Atlantic (28.1,28.15] 0.8933587 0.8279851 0.9270883
aou + phosphate_star Atlantic (28.15,28.2] 0.9340517 0.9082271 0.9640288
aou + phosphate_star Atlantic (28.2, Inf] 0.8113440 0.7410136 0.9014739
aou + phosphate_star Indo-Pacific (-Inf,26] 0.3458553 0.2930344 0.4260745
aou + phosphate_star Indo-Pacific (26,26.5] -0.0348203 -0.1620399 0.1063484
aou + phosphate_star Indo-Pacific (26.5,26.75] -0.0534019 -0.1732538 0.0642644
aou + phosphate_star Indo-Pacific (26.75,27] 0.2694962 0.1473615 0.4879279
aou + phosphate_star Indo-Pacific (27,27.25] 0.1830088 0.1510468 0.1999914
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.1339935 -0.1887719 -0.0776596
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.3303916 -0.4569090 -0.2580956
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.5530549 -0.6067073 -0.4810372
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.5387481 -0.6004960 -0.4237590
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.4809980 -0.5688036 -0.3918681
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.3034491 -0.4547541 -0.2047856
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.4270922 -0.4904324 -0.3189712
aou + silicate Atlantic (-Inf,26] 0.2274861 0.0713185 0.5007754
aou + silicate Atlantic (26,26.5] 0.6149167 0.3992252 0.9016351
aou + silicate Atlantic (26.5,26.75] 0.7432725 0.6262223 0.8130551
aou + silicate Atlantic (26.75,27] 0.6469208 0.4380920 0.8543502
aou + silicate Atlantic (27,27.25] 0.5432343 0.3181002 0.7945820
aou + silicate Atlantic (27.25,27.5] 0.4977886 0.2976334 0.6010011
aou + silicate Atlantic (27.5,27.75] 0.3019199 0.0399463 0.4872263
aou + silicate Atlantic (27.75,27.85] 0.0501820 -0.2007529 0.3138878
aou + silicate Atlantic (27.85,27.95] 0.3284763 0.0173152 0.5826052
aou + silicate Atlantic (27.95,28.05] 0.6053694 0.4621478 0.7344191
aou + silicate Atlantic (28.05,28.1] 0.8757850 0.8689051 0.8828373
aou + silicate Atlantic (28.1,28.15] 0.9285088 0.9082652 0.9443477
aou + silicate Atlantic (28.15,28.2] 0.9490249 0.9422450 0.9571863
aou + silicate Atlantic (28.2, Inf] 0.6504663 0.5258560 0.8606818
aou + silicate Indo-Pacific (-Inf,26] 0.8071284 0.7914130 0.8348495
aou + silicate Indo-Pacific (26,26.5] 0.8104695 0.7601405 0.8603115
aou + silicate Indo-Pacific (26.5,26.75] 0.7783036 0.7076828 0.8268131
aou + silicate Indo-Pacific (26.75,27] 0.8262036 0.7708495 0.8846095
aou + silicate Indo-Pacific (27,27.25] 0.8567195 0.8459537 0.8747154
aou + silicate Indo-Pacific (27.25,27.5] 0.8932462 0.8629172 0.9177486
aou + silicate Indo-Pacific (27.5,27.75] 0.9305607 0.9056219 0.9541020
aou + silicate Indo-Pacific (27.75,27.85] 0.9567788 0.9437256 0.9680791
aou + silicate Indo-Pacific (27.85,27.95] 0.9689103 0.9566547 0.9767294
aou + silicate Indo-Pacific (27.95,28.05] 0.9782345 0.9655302 0.9855463
aou + silicate Indo-Pacific (28.05,28.1] 0.9879248 0.9832762 0.9934741
aou + silicate Indo-Pacific (28.1, Inf] 0.8645269 0.8317351 0.8843303
nitrate + phosphate Atlantic (-Inf,26] 0.7254513 0.5974070 0.8349686
nitrate + phosphate Atlantic (26,26.5] 0.9179315 0.8684451 0.9821695
nitrate + phosphate Atlantic (26.5,26.75] 0.9582993 0.9342023 0.9850540
nitrate + phosphate Atlantic (26.75,27] 0.9743217 0.9624260 0.9861984
nitrate + phosphate Atlantic (27,27.25] 0.9840109 0.9737622 0.9925501
nitrate + phosphate Atlantic (27.25,27.5] 0.9892371 0.9834424 0.9937555
nitrate + phosphate Atlantic (27.5,27.75] 0.9927749 0.9883085 0.9958179
nitrate + phosphate Atlantic (27.75,27.85] 0.9975766 0.9961904 0.9984308
nitrate + phosphate Atlantic (27.85,27.95] 0.9987148 0.9981030 0.9994339
nitrate + phosphate Atlantic (27.95,28.05] 0.9992402 0.9987843 0.9995573
nitrate + phosphate Atlantic (28.05,28.1] 0.9996389 0.9994601 0.9997884
nitrate + phosphate Atlantic (28.1,28.15] 0.9994954 0.9992909 0.9996981
nitrate + phosphate Atlantic (28.15,28.2] 0.9970378 0.9959606 0.9979578
nitrate + phosphate Atlantic (28.2, Inf] 0.9935555 0.9930431 0.9940317
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9613803 0.9520481 0.9767670
nitrate + phosphate Indo-Pacific (26,26.5] 0.9166202 0.8363603 0.9604901
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.9366145 0.9259073 0.9444165
nitrate + phosphate Indo-Pacific (26.75,27] 0.9299818 0.9084341 0.9412917
nitrate + phosphate Indo-Pacific (27,27.25] 0.9547915 0.9246682 0.9816412
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9642179 0.9423454 0.9775802
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9793077 0.9632513 0.9888897
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9908342 0.9871022 0.9933304
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9930537 0.9865228 0.9963837
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9981471 0.9952970 0.9996652
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9980961 0.9953263 0.9996297
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9956323 0.9911462 0.9982709
nitrate + phosphate_star Atlantic (-Inf,26] 0.0739649 -0.1235495 0.2368651
nitrate + phosphate_star Atlantic (26,26.5] 0.0398832 -0.2485189 0.4214717
nitrate + phosphate_star Atlantic (26.5,26.75] -0.1843510 -0.2971415 -0.0912204
nitrate + phosphate_star Atlantic (26.75,27] -0.2777176 -0.4715574 -0.0771292
nitrate + phosphate_star Atlantic (27,27.25] -0.0346695 -0.1206612 0.0643796
nitrate + phosphate_star Atlantic (27.25,27.5] 0.2387885 0.2200509 0.2607472
nitrate + phosphate_star Atlantic (27.5,27.75] 0.5679326 0.5000653 0.6344898
nitrate + phosphate_star Atlantic (27.75,27.85] 0.7901403 0.7598233 0.8226802
nitrate + phosphate_star Atlantic (27.85,27.95] 0.8877930 0.8778804 0.9003851
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9356559 0.9270634 0.9421719
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9716410 0.9631842 0.9763618
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9782261 0.9750816 0.9819505
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9826868 0.9798862 0.9848929
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9684011 0.9595406 0.9790465
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.5591283 0.4934462 0.6550703
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.2509561 0.1476936 0.4208804
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.2978849 0.2326190 0.4161983
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.5447577 0.4468980 0.6855977
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.4591700 0.4092944 0.4972242
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.0951527 0.0082510 0.1547503
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.1349566 -0.2219611 -0.0579955
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.3902391 -0.4416039 -0.2974044
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.3958487 -0.4864197 -0.2586353
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.3591645 -0.4662508 -0.2166248
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.1767921 -0.3327435 -0.0375188
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.2823882 -0.3907099 -0.1242703
nitrate + silicate Atlantic (-Inf,26] 0.5037810 0.4452442 0.5346994
nitrate + silicate Atlantic (26,26.5] 0.7042903 0.5584023 0.9284963
nitrate + silicate Atlantic (26.5,26.75] 0.7923761 0.6899698 0.8687025
nitrate + silicate Atlantic (26.75,27] 0.7748332 0.6780515 0.8730596
nitrate + silicate Atlantic (27,27.25] 0.7931907 0.7415629 0.8734679
nitrate + silicate Atlantic (27.25,27.5] 0.8336283 0.8169886 0.8421054
nitrate + silicate Atlantic (27.5,27.75] 0.8609338 0.8494921 0.8694360
nitrate + silicate Atlantic (27.75,27.85] 0.8944616 0.8825291 0.9060999
nitrate + silicate Atlantic (27.85,27.95] 0.9273702 0.8859004 0.9513021
nitrate + silicate Atlantic (27.95,28.05] 0.9352174 0.8999491 0.9630051
nitrate + silicate Atlantic (28.05,28.1] 0.9625185 0.9463005 0.9821971
nitrate + silicate Atlantic (28.1,28.15] 0.9733080 0.9625667 0.9860150
nitrate + silicate Atlantic (28.15,28.2] 0.9481003 0.9390086 0.9588966
nitrate + silicate Atlantic (28.2, Inf] 0.8074569 0.7611962 0.8541288
nitrate + silicate Indo-Pacific (-Inf,26] 0.8051059 0.7534345 0.8668987
nitrate + silicate Indo-Pacific (26,26.5] 0.8779642 0.8048112 0.9198113
nitrate + silicate Indo-Pacific (26.5,26.75] 0.9025375 0.8705308 0.9266974
nitrate + silicate Indo-Pacific (26.75,27] 0.9216570 0.8982301 0.9368516
nitrate + silicate Indo-Pacific (27,27.25] 0.9457742 0.9352734 0.9543062
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9552345 0.9482413 0.9629896
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9740073 0.9698962 0.9799165
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9871336 0.9802270 0.9916556
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9876469 0.9836659 0.9908060
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9900302 0.9861397 0.9924439
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9938665 0.9931260 0.9943340
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8655060 0.8464853 0.8789180
phosphate + phosphate_star Atlantic (-Inf,26] 0.3534334 0.2652024 0.5052434
phosphate + phosphate_star Atlantic (26,26.5] 0.2888036 0.0428689 0.5210795
phosphate + phosphate_star Atlantic (26.5,26.75] 0.0320576 -0.0595159 0.1998150
phosphate + phosphate_star Atlantic (26.75,27] -0.1076486 -0.3493650 0.1470399
phosphate + phosphate_star Atlantic (27,27.25] 0.1067223 0.0106807 0.2540394
phosphate + phosphate_star Atlantic (27.25,27.5] 0.3576112 0.3221052 0.4125721
phosphate + phosphate_star Atlantic (27.5,27.75] 0.6475704 0.5708923 0.6968547
phosphate + phosphate_star Atlantic (27.75,27.85] 0.8262096 0.7912193 0.8541429
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9056643 0.8995802 0.9119678
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9447150 0.9402660 0.9493164
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9755029 0.9678362 0.9801803
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9818011 0.9776524 0.9855131
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9860748 0.9829986 0.9900762
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9814348 0.9770969 0.9843930
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.6217482 0.5490522 0.6955099
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.3500843 0.2539310 0.5129599
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.3498815 0.2920656 0.4649825
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.5755637 0.5030765 0.7043803
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.4842772 0.4623831 0.4965668
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.1259226 0.0576824 0.1649222
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.1283736 -0.2265854 -0.0529365
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.4030739 -0.4631236 -0.3120915
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.4135236 -0.4835640 -0.2788663
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.3693353 -0.4664362 -0.2484025
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.1931084 -0.3367471 -0.0779775
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.2911229 -0.3914646 -0.1403501
sal + aou Atlantic (-Inf,26] 0.0619733 -0.1129479 0.1526072
sal + aou Atlantic (26,26.5] 0.2438629 -0.1168479 0.5380779
sal + aou Atlantic (26.5,26.75] 0.5787265 0.5283943 0.6506443
sal + aou Atlantic (26.75,27] 0.6929360 0.6054283 0.7733177
sal + aou Atlantic (27,27.25] 0.7004555 0.6612893 0.7408642
sal + aou Atlantic (27.25,27.5] 0.7132319 0.6262571 0.7598848
sal + aou Atlantic (27.5,27.75] 0.6848918 0.5466608 0.8281697
sal + aou Atlantic (27.75,27.85] 0.6185025 0.4681661 0.7072452
sal + aou Atlantic (27.85,27.95] 0.3149526 0.2278943 0.4694352
sal + aou Atlantic (27.95,28.05] -0.1404583 -0.1828784 -0.0720014
sal + aou Atlantic (28.05,28.1] -0.7163791 -0.7516561 -0.6626590
sal + aou Atlantic (28.1,28.15] -0.8560741 -0.8918905 -0.8154804
sal + aou Atlantic (28.15,28.2] -0.8754586 -0.9205737 -0.8511678
sal + aou Atlantic (28.2, Inf] -0.8823846 -0.9204041 -0.8548853
sal + aou Indo-Pacific (-Inf,26] 0.0795929 0.0581768 0.1203953
sal + aou Indo-Pacific (26,26.5] 0.1410495 -0.0725298 0.3217824
sal + aou Indo-Pacific (26.5,26.75] 0.1416690 -0.0265441 0.2400874
sal + aou Indo-Pacific (26.75,27] -0.2021269 -0.4488647 -0.0101756
sal + aou Indo-Pacific (27,27.25] -0.3031634 -0.3449880 -0.2512731
sal + aou Indo-Pacific (27.25,27.5] 0.0003326 -0.0981108 0.1071142
sal + aou Indo-Pacific (27.5,27.75] 0.2916539 0.1728189 0.4866096
sal + aou Indo-Pacific (27.75,27.85] 0.5928288 0.5669334 0.6258959
sal + aou Indo-Pacific (27.85,27.95] 0.6835682 0.6351380 0.7508548
sal + aou Indo-Pacific (27.95,28.05] 0.8198474 0.7249172 0.8778037
sal + aou Indo-Pacific (28.05,28.1] 0.8595188 0.7555412 0.9271820
sal + aou Indo-Pacific (28.1, Inf] 0.5360573 0.4973383 0.5650539
sal + nitrate Atlantic (-Inf,26] 0.0675004 -0.2045230 0.3198117
sal + nitrate Atlantic (26,26.5] 0.1669282 -0.2468754 0.4863274
sal + nitrate Atlantic (26.5,26.75] 0.5282619 0.4722093 0.6289605
sal + nitrate Atlantic (26.75,27] 0.6420816 0.4844415 0.7818773
sal + nitrate Atlantic (27,27.25] 0.6125393 0.4594997 0.7229126
sal + nitrate Atlantic (27.25,27.5] 0.5603575 0.5154273 0.6368787
sal + nitrate Atlantic (27.5,27.75] 0.3225081 0.0522210 0.5860443
sal + nitrate Atlantic (27.75,27.85] -0.2945536 -0.4571475 -0.1612015
sal + nitrate Atlantic (27.85,27.95] -0.4628603 -0.6541240 -0.3448093
sal + nitrate Atlantic (27.95,28.05] -0.6055289 -0.7744092 -0.4968374
sal + nitrate Atlantic (28.05,28.1] -0.8734498 -0.9295031 -0.8296721
sal + nitrate Atlantic (28.1,28.15] -0.9425160 -0.9537786 -0.9317309
sal + nitrate Atlantic (28.15,28.2] -0.9357800 -0.9538010 -0.9082763
sal + nitrate Atlantic (28.2, Inf] -0.9428290 -0.9569918 -0.9261285
sal + nitrate Indo-Pacific (-Inf,26] 0.0294359 0.0047318 0.0602329
sal + nitrate Indo-Pacific (26,26.5] -0.1233326 -0.3626186 0.0428319
sal + nitrate Indo-Pacific (26.5,26.75] -0.1841568 -0.3716486 0.0146922
sal + nitrate Indo-Pacific (26.75,27] -0.4336308 -0.6483267 -0.1530415
sal + nitrate Indo-Pacific (27,27.25] -0.5146421 -0.5809317 -0.4237224
sal + nitrate Indo-Pacific (27.25,27.5] -0.1767333 -0.2645247 -0.0848920
sal + nitrate Indo-Pacific (27.5,27.75] 0.2164739 0.1368169 0.2652639
sal + nitrate Indo-Pacific (27.75,27.85] 0.5466504 0.3913686 0.6706028
sal + nitrate Indo-Pacific (27.85,27.95] 0.6569835 0.4971153 0.7644566
sal + nitrate Indo-Pacific (27.95,28.05] 0.7540830 0.6046234 0.8482222
sal + nitrate Indo-Pacific (28.05,28.1] 0.7998783 0.6463734 0.9011801
sal + nitrate Indo-Pacific (28.1, Inf] 0.4602426 0.3847521 0.5027090
sal + phosphate Atlantic (-Inf,26] -0.0575042 -0.1675656 0.0052699
sal + phosphate Atlantic (26,26.5] 0.0132921 -0.2705279 0.2933092
sal + phosphate Atlantic (26.5,26.75] 0.3608397 0.2254646 0.4478891
sal + phosphate Atlantic (26.75,27] 0.5114934 0.2773675 0.7205453
sal + phosphate Atlantic (27,27.25] 0.4926434 0.2746853 0.6568345
sal + phosphate Atlantic (27.25,27.5] 0.4470458 0.3641740 0.5582528
sal + phosphate Atlantic (27.5,27.75] 0.2261033 -0.0783029 0.5043549
sal + phosphate Atlantic (27.75,27.85] -0.3494110 -0.5213127 -0.2124341
sal + phosphate Atlantic (27.85,27.95] -0.4960591 -0.6865770 -0.3707945
sal + phosphate Atlantic (27.95,28.05] -0.6201721 -0.7826817 -0.5097947
sal + phosphate Atlantic (28.05,28.1] -0.8815266 -0.9326560 -0.8386271
sal + phosphate Atlantic (28.1,28.15] -0.9460676 -0.9552534 -0.9370812
sal + phosphate Atlantic (28.15,28.2] -0.9156441 -0.9388487 -0.8793491
sal + phosphate Atlantic (28.2, Inf] -0.9083260 -0.9237634 -0.8868130
sal + phosphate Indo-Pacific (-Inf,26] -0.0280692 -0.0746487 0.0019700
sal + phosphate Indo-Pacific (26,26.5] -0.1580940 -0.4262026 0.0011300
sal + phosphate Indo-Pacific (26.5,26.75] -0.1733590 -0.3816860 0.0607860
sal + phosphate Indo-Pacific (26.75,27] -0.3651654 -0.6057780 -0.0234043
sal + phosphate Indo-Pacific (27,27.25] -0.4753782 -0.5627073 -0.3519894
sal + phosphate Indo-Pacific (27.25,27.5] -0.1653402 -0.2757370 -0.0697686
sal + phosphate Indo-Pacific (27.5,27.75] 0.2085472 0.1164394 0.2865239
sal + phosphate Indo-Pacific (27.75,27.85] 0.5275532 0.4301645 0.6024006
sal + phosphate Indo-Pacific (27.85,27.95] 0.6362026 0.5370858 0.6911923
sal + phosphate Indo-Pacific (27.95,28.05] 0.7729768 0.6584022 0.8468649
sal + phosphate Indo-Pacific (28.05,28.1] 0.8241011 0.7059668 0.9054275
sal + phosphate Indo-Pacific (28.1, Inf] 0.5131909 0.4653111 0.5392001
sal + phosphate_star Atlantic (-Inf,26] -0.6615016 -0.6712961 -0.6468005
sal + phosphate_star Atlantic (26,26.5] -0.8374036 -0.8633671 -0.8114181
sal + phosphate_star Atlantic (26.5,26.75] -0.8399047 -0.8784090 -0.8051303
sal + phosphate_star Atlantic (26.75,27] -0.7919547 -0.8005437 -0.7874264
sal + phosphate_star Atlantic (27,27.25] -0.6694638 -0.7378018 -0.5710412
sal + phosphate_star Atlantic (27.25,27.5] -0.5448422 -0.5928562 -0.4791854
sal + phosphate_star Atlantic (27.5,27.75] -0.4576366 -0.6837587 -0.3229606
sal + phosphate_star Atlantic (27.75,27.85] -0.7593227 -0.8618942 -0.6215314
sal + phosphate_star Atlantic (27.85,27.95] -0.7696730 -0.8964014 -0.6757793
sal + phosphate_star Atlantic (27.95,28.05] -0.7876490 -0.9068556 -0.6969602
sal + phosphate_star Atlantic (28.05,28.1] -0.9468805 -0.9745621 -0.9305827
sal + phosphate_star Atlantic (28.1,28.15] -0.9747041 -0.9799700 -0.9663581
sal + phosphate_star Atlantic (28.15,28.2] -0.9345205 -0.9582777 -0.8926780
sal + phosphate_star Atlantic (28.2, Inf] -0.8911064 -0.9228341 -0.8622036
sal + phosphate_star Indo-Pacific (-Inf,26] -0.4569682 -0.5202645 -0.3554652
sal + phosphate_star Indo-Pacific (26,26.5] -0.8643251 -0.9259952 -0.7430369
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8599545 -0.9622471 -0.6861282
sal + phosphate_star Indo-Pacific (26.75,27] -0.7629580 -0.9524308 -0.4410626
sal + phosphate_star Indo-Pacific (27,27.25] -0.7886688 -0.9386372 -0.5389303
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.7645858 -0.9181730 -0.5393181
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.5990521 -0.9184623 -0.1521206
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.7379059 -0.9115773 -0.4871638
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.7222332 -0.8483746 -0.4977175
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7245328 -0.7785199 -0.6829719
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5656892 -0.6408039 -0.4690130
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.4112154 -0.4687092 -0.3761033
sal + silicate Atlantic (-Inf,26] -0.2582291 -0.5707045 0.0281567
sal + silicate Atlantic (26,26.5] 0.0797797 -0.4368483 0.4159581
sal + silicate Atlantic (26.5,26.75] 0.4771936 0.1606070 0.7238707
sal + silicate Atlantic (26.75,27] 0.4133401 0.1703572 0.6079014
sal + silicate Atlantic (27,27.25] 0.3002759 0.0396987 0.5403433
sal + silicate Atlantic (27.25,27.5] 0.2216928 0.1167427 0.2853982
sal + silicate Atlantic (27.5,27.75] -0.0360532 -0.3175761 0.1819076
sal + silicate Atlantic (27.75,27.85] -0.6175062 -0.7057795 -0.5105489
sal + silicate Atlantic (27.85,27.95] -0.7008869 -0.8111929 -0.5783716
sal + silicate Atlantic (27.95,28.05] -0.7806688 -0.8564798 -0.6924272
sal + silicate Atlantic (28.05,28.1] -0.9424055 -0.9526872 -0.9248407
sal + silicate Atlantic (28.1,28.15] -0.9522715 -0.9539223 -0.9507091
sal + silicate Atlantic (28.15,28.2] -0.8155408 -0.8480191 -0.7623203
sal + silicate Atlantic (28.2, Inf] -0.6182473 -0.7023908 -0.5265288
sal + silicate Indo-Pacific (-Inf,26] -0.2203553 -0.3045453 -0.1691811
sal + silicate Indo-Pacific (26,26.5] -0.2290866 -0.4593950 -0.0491987
sal + silicate Indo-Pacific (26.5,26.75] -0.3084092 -0.4619762 -0.0954317
sal + silicate Indo-Pacific (26.75,27] -0.5195989 -0.6774543 -0.2156358
sal + silicate Indo-Pacific (27,27.25] -0.5983466 -0.6781593 -0.4621416
sal + silicate Indo-Pacific (27.25,27.5] -0.3157477 -0.3930721 -0.1878463
sal + silicate Indo-Pacific (27.5,27.75] 0.1216190 0.0449339 0.2063140
sal + silicate Indo-Pacific (27.75,27.85] 0.4814766 0.3024547 0.6227369
sal + silicate Indo-Pacific (27.85,27.95] 0.6024837 0.4319802 0.7040707
sal + silicate Indo-Pacific (27.95,28.05] 0.7509041 0.5921988 0.8532620
sal + silicate Indo-Pacific (28.05,28.1] 0.8129247 0.6707318 0.9119369
sal + silicate Indo-Pacific (28.1, Inf] 0.7651843 0.6930370 0.8232581
sal + temp Atlantic (-Inf,26] 0.6326397 0.5770546 0.7389212
sal + temp Atlantic (26,26.5] 0.9855079 0.9852056 0.9860487
sal + temp Atlantic (26.5,26.75] 0.9922822 0.9906473 0.9943602
sal + temp Atlantic (26.75,27] 0.9887452 0.9861968 0.9919744
sal + temp Atlantic (27,27.25] 0.9881706 0.9850132 0.9913208
sal + temp Atlantic (27.25,27.5] 0.9869926 0.9848302 0.9883522
sal + temp Atlantic (27.5,27.75] 0.9677610 0.9647973 0.9698932
sal + temp Atlantic (27.75,27.85] 0.9767127 0.9699885 0.9800793
sal + temp Atlantic (27.85,27.95] 0.9708752 0.9659437 0.9799266
sal + temp Atlantic (27.95,28.05] 0.9528905 0.9390323 0.9738720
sal + temp Atlantic (28.05,28.1] 0.9649708 0.9471342 0.9805189
sal + temp Atlantic (28.1,28.15] 0.9581600 0.9481528 0.9740898
sal + temp Atlantic (28.15,28.2] 0.9424011 0.9144874 0.9727348
sal + temp Atlantic (28.2, Inf] 0.9409074 0.9235060 0.9555321
sal + temp Indo-Pacific (-Inf,26] 0.4538864 0.3833239 0.5350903
sal + temp Indo-Pacific (26,26.5] 0.9714217 0.9587920 0.9796314
sal + temp Indo-Pacific (26.5,26.75] 0.9831399 0.9776218 0.9880271
sal + temp Indo-Pacific (26.75,27] 0.9805543 0.9735658 0.9841346
sal + temp Indo-Pacific (27,27.25] 0.9725587 0.9663429 0.9795237
sal + temp Indo-Pacific (27.25,27.5] 0.9467465 0.9374098 0.9579998
sal + temp Indo-Pacific (27.5,27.75] 0.8924355 0.8531465 0.9431797
sal + temp Indo-Pacific (27.75,27.85] 0.9571722 0.9493082 0.9627880
sal + temp Indo-Pacific (27.85,27.95] 0.9440016 0.9338005 0.9494802
sal + temp Indo-Pacific (27.95,28.05] 0.9209103 0.9031892 0.9352983
sal + temp Indo-Pacific (28.05,28.1] 0.9466391 0.9438299 0.9491733
sal + temp Indo-Pacific (28.1, Inf] 0.6259643 0.6242107 0.6286830
silicate + phosphate Atlantic (-Inf,26] -0.0194054 -0.1563577 0.1438677
silicate + phosphate Atlantic (26,26.5] 0.4449821 0.1583449 0.8808832
silicate + phosphate Atlantic (26.5,26.75] 0.6748787 0.4792711 0.8788953
silicate + phosphate Atlantic (26.75,27] 0.7790044 0.6831080 0.8949286
silicate + phosphate Atlantic (27,27.25] 0.8289339 0.7930589 0.8995667
silicate + phosphate Atlantic (27.25,27.5] 0.8759990 0.8707996 0.8800622
silicate + phosphate Atlantic (27.5,27.75] 0.9011622 0.8970461 0.9070003
silicate + phosphate Atlantic (27.75,27.85] 0.9197070 0.9083748 0.9332745
silicate + phosphate Atlantic (27.85,27.95] 0.9427383 0.9082670 0.9604649
silicate + phosphate Atlantic (27.95,28.05] 0.9457445 0.9169284 0.9692254
silicate + phosphate Atlantic (28.05,28.1] 0.9688992 0.9558658 0.9853272
silicate + phosphate Atlantic (28.1,28.15] 0.9793528 0.9710172 0.9891616
silicate + phosphate Atlantic (28.15,28.2] 0.9676386 0.9634954 0.9736310
silicate + phosphate Atlantic (28.2, Inf] 0.8661580 0.8295180 0.9052449
silicate + phosphate Indo-Pacific (-Inf,26] 0.8263032 0.8012886 0.8587299
silicate + phosphate Indo-Pacific (26,26.5] 0.9005857 0.8876670 0.9103713
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8907739 0.8856244 0.8990726
silicate + phosphate Indo-Pacific (26.75,27] 0.9186152 0.9061712 0.9328739
silicate + phosphate Indo-Pacific (27,27.25] 0.9470244 0.9391507 0.9555844
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9595960 0.9468991 0.9717038
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9736105 0.9632837 0.9822941
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9833825 0.9748611 0.9883912
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9867196 0.9792378 0.9907251
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9887778 0.9833396 0.9921645
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9942633 0.9917912 0.9956744
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8870927 0.8720375 0.8986058
silicate + phosphate_star Atlantic (-Inf,26] -0.1568747 -0.2706606 -0.0153480
silicate + phosphate_star Atlantic (26,26.5] -0.1201980 -0.4672443 0.4490851
silicate + phosphate_star Atlantic (26.5,26.75] -0.2537479 -0.5358201 0.1265387
silicate + phosphate_star Atlantic (26.75,27] -0.0102420 -0.2876777 0.2823603
silicate + phosphate_star Atlantic (27,27.25] 0.3802685 0.2073336 0.5430695
silicate + phosphate_star Atlantic (27.25,27.5] 0.6256810 0.5717755 0.6616521
silicate + phosphate_star Atlantic (27.5,27.75] 0.8457694 0.8322511 0.8709539
silicate + phosphate_star Atlantic (27.75,27.85] 0.9394161 0.9212239 0.9545091
silicate + phosphate_star Atlantic (27.85,27.95] 0.9591933 0.9443223 0.9669416
silicate + phosphate_star Atlantic (27.95,28.05] 0.9687315 0.9568887 0.9822745
silicate + phosphate_star Atlantic (28.05,28.1] 0.9767143 0.9711901 0.9827630
silicate + phosphate_star Atlantic (28.1,28.15] 0.9754842 0.9675959 0.9859278
silicate + phosphate_star Atlantic (28.15,28.2] 0.9490845 0.9403988 0.9599541
silicate + phosphate_star Atlantic (28.2, Inf] 0.8864124 0.8635126 0.9069375
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.5105990 0.3582594 0.6352845
silicate + phosphate_star Indo-Pacific (26,26.5] 0.3575101 0.2362179 0.5002621
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.3986792 0.2990264 0.4723873
silicate + phosphate_star Indo-Pacific (26.75,27] 0.6429552 0.5296142 0.7137434
silicate + phosphate_star Indo-Pacific (27,27.25] 0.5873138 0.5508772 0.6333120
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.2602292 0.1872947 0.3208239
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.0247526 -0.0893411 0.0408710
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.3381681 -0.4108160 -0.2137232
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.3623820 -0.4526707 -0.1911824
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.3395194 -0.4493497 -0.1901616
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.1939402 -0.3344563 -0.0657761
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.2179571 -0.3396122 -0.0163408
temp + aou Atlantic (-Inf,26] -0.0476858 -0.0971146 0.0103334
temp + aou Atlantic (26,26.5] 0.2058521 -0.1466925 0.4935303
temp + aou Atlantic (26.5,26.75] 0.5494935 0.4944394 0.6102297
temp + aou Atlantic (26.75,27] 0.6464005 0.5723550 0.7189223
temp + aou Atlantic (27,27.25] 0.6600822 0.6428247 0.6748884
temp + aou Atlantic (27.25,27.5] 0.7094168 0.6313434 0.7593896
temp + aou Atlantic (27.5,27.75] 0.6960777 0.5572728 0.8340923
temp + aou Atlantic (27.75,27.85] 0.6197385 0.4578879 0.7402866
temp + aou Atlantic (27.85,27.95] 0.3223220 0.1830263 0.5131562
temp + aou Atlantic (27.95,28.05] -0.0579390 -0.1431434 0.0210633
temp + aou Atlantic (28.05,28.1] -0.5772704 -0.6428055 -0.4483672
temp + aou Atlantic (28.1,28.15] -0.7359493 -0.7765581 -0.7128442
temp + aou Atlantic (28.15,28.2] -0.8239407 -0.8463396 -0.8098379
temp + aou Atlantic (28.2, Inf] -0.8213251 -0.8549910 -0.7629141
temp + aou Indo-Pacific (-Inf,26] -0.3460620 -0.4141132 -0.3053562
temp + aou Indo-Pacific (26,26.5] 0.1487277 -0.0404535 0.3191835
temp + aou Indo-Pacific (26.5,26.75] 0.1790197 0.0282571 0.2684499
temp + aou Indo-Pacific (26.75,27] -0.1495410 -0.4006431 0.0657205
temp + aou Indo-Pacific (27,27.25] -0.2200932 -0.2399236 -0.2050322
temp + aou Indo-Pacific (27.25,27.5] 0.0655081 0.0030266 0.1261816
temp + aou Indo-Pacific (27.5,27.75] 0.3218249 0.2353479 0.4895014
temp + aou Indo-Pacific (27.75,27.85] 0.6289484 0.5974655 0.6508141
temp + aou Indo-Pacific (27.85,27.95] 0.7003465 0.6217556 0.7444518
temp + aou Indo-Pacific (27.95,28.05] 0.7814187 0.7048572 0.8243282
temp + aou Indo-Pacific (28.05,28.1] 0.7988100 0.7061272 0.8478866
temp + aou Indo-Pacific (28.1, Inf] 0.8412508 0.7828306 0.8755944
temp + nitrate Atlantic (-Inf,26] -0.1182024 -0.1935247 0.0265912
temp + nitrate Atlantic (26,26.5] 0.1285377 -0.2738111 0.4364680
temp + nitrate Atlantic (26.5,26.75] 0.5022983 0.4381244 0.5907851
temp + nitrate Atlantic (26.75,27] 0.5884464 0.4315221 0.7309813
temp + nitrate Atlantic (27,27.25] 0.5620990 0.4226151 0.6443692
temp + nitrate Atlantic (27.25,27.5] 0.5406659 0.4893022 0.5972005
temp + nitrate Atlantic (27.5,27.75] 0.2772418 -0.0010088 0.5000163
temp + nitrate Atlantic (27.75,27.85] -0.3436105 -0.4803630 -0.2148638
temp + nitrate Atlantic (27.85,27.95] -0.4905169 -0.6522712 -0.3991022
temp + nitrate Atlantic (27.95,28.05] -0.5884105 -0.7478619 -0.4941528
temp + nitrate Atlantic (28.05,28.1] -0.7798339 -0.8828504 -0.6690059
temp + nitrate Atlantic (28.1,28.15] -0.8590454 -0.9005761 -0.8181253
temp + nitrate Atlantic (28.15,28.2] -0.8958219 -0.9211880 -0.8734618
temp + nitrate Atlantic (28.2, Inf] -0.9209951 -0.9546983 -0.8825822
temp + nitrate Indo-Pacific (-Inf,26] -0.4739655 -0.5500233 -0.4319799
temp + nitrate Indo-Pacific (26,26.5] -0.1199039 -0.3416554 0.0277827
temp + nitrate Indo-Pacific (26.5,26.75] -0.1471666 -0.3247662 0.0490066
temp + nitrate Indo-Pacific (26.75,27] -0.3898315 -0.6096820 -0.0918110
temp + nitrate Indo-Pacific (27,27.25] -0.4525126 -0.5053666 -0.3498155
temp + nitrate Indo-Pacific (27.25,27.5] -0.1342868 -0.1828632 -0.0399473
temp + nitrate Indo-Pacific (27.5,27.75] 0.1943842 0.1184822 0.2501902
temp + nitrate Indo-Pacific (27.75,27.85] 0.5514264 0.4215440 0.6692446
temp + nitrate Indo-Pacific (27.85,27.95] 0.6394731 0.4774344 0.7626854
temp + nitrate Indo-Pacific (27.95,28.05] 0.6995519 0.5718436 0.7750907
temp + nitrate Indo-Pacific (28.05,28.1] 0.7232230 0.5836372 0.8053974
temp + nitrate Indo-Pacific (28.1, Inf] 0.7690376 0.6589833 0.8395245
temp + phosphate Atlantic (-Inf,26] -0.2256122 -0.3088376 -0.1612154
temp + phosphate Atlantic (26,26.5] -0.0159577 -0.2861243 0.2561538
temp + phosphate Atlantic (26.5,26.75] 0.3422136 0.2039063 0.4158801
temp + phosphate Atlantic (26.75,27] 0.4640567 0.2326880 0.6753217
temp + phosphate Atlantic (27,27.25] 0.4478559 0.2471738 0.5814336
temp + phosphate Atlantic (27.25,27.5] 0.4314307 0.3408157 0.5226101
temp + phosphate Atlantic (27.5,27.75] 0.1845540 -0.1275286 0.4206799
temp + phosphate Atlantic (27.75,27.85] -0.3981529 -0.5449312 -0.2669750
temp + phosphate Atlantic (27.85,27.95] -0.5243929 -0.6856037 -0.4413039
temp + phosphate Atlantic (27.95,28.05] -0.6076500 -0.7591380 -0.5228475
temp + phosphate Atlantic (28.05,28.1] -0.7911993 -0.8873547 -0.6819761
temp + phosphate Atlantic (28.1,28.15] -0.8687423 -0.9050322 -0.8305863
temp + phosphate Atlantic (28.15,28.2] -0.8944174 -0.9121726 -0.8745919
temp + phosphate Atlantic (28.2, Inf] -0.9087176 -0.9408662 -0.8685719
temp + phosphate Indo-Pacific (-Inf,26] -0.4563787 -0.5190097 -0.4232496
temp + phosphate Indo-Pacific (26,26.5] -0.1659467 -0.4120750 -0.0251458
temp + phosphate Indo-Pacific (26.5,26.75] -0.1463559 -0.3415852 0.0781635
temp + phosphate Indo-Pacific (26.75,27] -0.3275834 -0.5663975 0.0261566
temp + phosphate Indo-Pacific (27,27.25] -0.4164808 -0.4841454 -0.2850733
temp + phosphate Indo-Pacific (27.25,27.5] -0.1243661 -0.1961627 -0.0275422
temp + phosphate Indo-Pacific (27.5,27.75] 0.1961317 0.1100598 0.2706478
temp + phosphate Indo-Pacific (27.75,27.85] 0.5390599 0.4508307 0.6237843
temp + phosphate Indo-Pacific (27.85,27.95] 0.6290315 0.5086993 0.7118260
temp + phosphate Indo-Pacific (27.95,28.05] 0.7159058 0.6149799 0.7768803
temp + phosphate Indo-Pacific (28.05,28.1] 0.7447581 0.6357272 0.8097356
temp + phosphate Indo-Pacific (28.1, Inf] 0.7950859 0.7065065 0.8526010
temp + phosphate_star Atlantic (-Inf,26] -0.9355337 -0.9456857 -0.9272730
temp + phosphate_star Atlantic (26,26.5] -0.8417366 -0.8765664 -0.8005020
temp + phosphate_star Atlantic (26.5,26.75] -0.8377029 -0.8734861 -0.8039071
temp + phosphate_star Atlantic (26.75,27] -0.8014765 -0.8141729 -0.7911636
temp + phosphate_star Atlantic (27,27.25] -0.6906174 -0.7565100 -0.5934512
temp + phosphate_star Atlantic (27.25,27.5] -0.5678950 -0.6230201 -0.5272073
temp + phosphate_star Atlantic (27.5,27.75] -0.5192090 -0.7433352 -0.3702794
temp + phosphate_star Atlantic (27.75,27.85] -0.8107714 -0.8976693 -0.6829453
temp + phosphate_star Atlantic (27.85,27.95] -0.8088467 -0.9129948 -0.7498782
temp + phosphate_star Atlantic (27.95,28.05] -0.8121329 -0.9142931 -0.7597952
temp + phosphate_star Atlantic (28.05,28.1] -0.8970999 -0.9567499 -0.8395101
temp + phosphate_star Atlantic (28.1,28.15] -0.9367340 -0.9628659 -0.9172060
temp + phosphate_star Atlantic (28.15,28.2] -0.9427411 -0.9608353 -0.9220102
temp + phosphate_star Atlantic (28.2, Inf] -0.9267570 -0.9447705 -0.8912038
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8342410 -0.8507854 -0.8106175
temp + phosphate_star Indo-Pacific (26,26.5] -0.9020485 -0.9540302 -0.8021872
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.8812030 -0.9741743 -0.7173061
temp + phosphate_star Indo-Pacific (26.75,27] -0.7842343 -0.9693135 -0.4822476
temp + phosphate_star Indo-Pacific (27,27.25] -0.8345910 -0.9670867 -0.6043451
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.8513329 -0.9738836 -0.6653494
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.7930414 -0.9839909 -0.5067011
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.8542768 -0.9641853 -0.6924164
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.8547455 -0.9266334 -0.7248410
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.8508054 -0.8787568 -0.8293385
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.7162025 -0.7648415 -0.6509289
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.6817659 -0.6845625 -0.6780672
temp + silicate Atlantic (-Inf,26] 0.0395159 -0.1182485 0.1453026
temp + silicate Atlantic (26,26.5] 0.0584458 -0.4659944 0.3835515
temp + silicate Atlantic (26.5,26.75] 0.4546210 0.1637098 0.6912786
temp + silicate Atlantic (26.75,27] 0.3477408 0.0850908 0.5700745
temp + silicate Atlantic (27,27.25] 0.2422618 -0.0210859 0.4784715
temp + silicate Atlantic (27.25,27.5] 0.1940114 0.0737028 0.2735853
temp + silicate Atlantic (27.5,27.75] -0.0854994 -0.3684342 0.0763576
temp + silicate Atlantic (27.75,27.85] -0.6535685 -0.7219214 -0.5526585
temp + silicate Atlantic (27.85,27.95] -0.7182067 -0.7991359 -0.6402525
temp + silicate Atlantic (27.95,28.05] -0.7829942 -0.8377006 -0.7398454
temp + silicate Atlantic (28.05,28.1] -0.8779262 -0.9129234 -0.8098354
temp + silicate Atlantic (28.1,28.15] -0.9057906 -0.9125955 -0.8926719
temp + silicate Atlantic (28.15,28.2] -0.8421944 -0.8589438 -0.8313417
temp + silicate Atlantic (28.2, Inf] -0.7210738 -0.7901577 -0.6392995
temp + silicate Indo-Pacific (-Inf,26] -0.4560666 -0.5968998 -0.2735229
temp + silicate Indo-Pacific (26,26.5] -0.2205828 -0.4318835 -0.0570020
temp + silicate Indo-Pacific (26.5,26.75] -0.2594853 -0.4005315 -0.0456920
temp + silicate Indo-Pacific (26.75,27] -0.4775619 -0.6468140 -0.1501072
temp + silicate Indo-Pacific (27,27.25] -0.5497231 -0.6533414 -0.4053661
temp + silicate Indo-Pacific (27.25,27.5] -0.2788187 -0.3608516 -0.1552898
temp + silicate Indo-Pacific (27.5,27.75] 0.0924916 0.0238370 0.1490564
temp + silicate Indo-Pacific (27.75,27.85] 0.4828709 0.3259934 0.6195334
temp + silicate Indo-Pacific (27.85,27.95] 0.5802034 0.3990854 0.7059297
temp + silicate Indo-Pacific (27.95,28.05] 0.6726657 0.5377390 0.7485900
temp + silicate Indo-Pacific (28.05,28.1] 0.7319351 0.6041469 0.8115901
temp + silicate Indo-Pacific (28.1, Inf] 0.7147262 0.5799997 0.8064209 
rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_target_predictor <- cor_target_predictor %>% 
  rename(predictor = term)

# calculate min, max, mean across all eras
cor_target_predictor_stats <- cor_target_predictor %>%
  select(-era) %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise_all(list(mean_r = mean, min_r = min, max_r = max)) %>% 
  ungroup()

# plot figure
cor_target_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
predictor basin gamma_slab mean_r min_r max_r
aou Atlantic (-Inf,26] -0.0472250 -0.1109899 0.0406052
aou Atlantic (26,26.5] -0.2878574 -0.3864127 -0.2216048
aou Atlantic (26.5,26.75] -0.4192943 -0.6457976 -0.3005428
aou Atlantic (26.75,27] -0.3447815 -0.6026311 -0.1904251
aou Atlantic (27,27.25] -0.4804977 -0.6798830 -0.2893140
aou Atlantic (27.25,27.5] -0.5479792 -0.7091157 -0.3987024
aou Atlantic (27.5,27.75] -0.3999858 -0.5832186 -0.0953505
aou Atlantic (27.75,27.85] -0.2074784 -0.4260966 0.0810863
aou Atlantic (27.85,27.95] -0.4876756 -0.7279731 -0.1706731
aou Atlantic (27.95,28.05] -0.7335151 -0.8796784 -0.5647013
aou Atlantic (28.05,28.1] -0.9403545 -0.9638463 -0.9101836
aou Atlantic (28.1,28.15] -0.9585482 -0.9852058 -0.9279259
aou Atlantic (28.15,28.2] -0.9651143 -0.9859132 -0.9514302
aou Atlantic (28.2, Inf] -0.8176419 -0.9223423 -0.7579194
aou Indo-Pacific (-Inf,26] 0.3287425 0.2429824 0.3737563
aou Indo-Pacific (26,26.5] -0.2691750 -0.3297639 -0.2020631
aou Indo-Pacific (26.5,26.75] -0.5635580 -0.6273701 -0.4911913
aou Indo-Pacific (26.75,27] -0.5801891 -0.7181337 -0.4878459
aou Indo-Pacific (27,27.25] -0.3804194 -0.4457064 -0.3056312
aou Indo-Pacific (27.25,27.5] -0.2212835 -0.4448707 0.0172090
aou Indo-Pacific (27.5,27.75] -0.0142857 -0.4271072 0.4821542
aou Indo-Pacific (27.75,27.85] 0.1700574 -0.1915100 0.6279806
aou Indo-Pacific (27.85,27.95] 0.2733233 0.0322130 0.5957567
aou Indo-Pacific (27.95,28.05] 0.2801780 0.0816582 0.4359479
aou Indo-Pacific (28.05,28.1] 0.3922291 0.3080095 0.4396703
aou Indo-Pacific (28.1, Inf] 0.5931216 0.4534715 0.6760945
nitrate Atlantic (-Inf,26] -0.0096893 -0.1304207 0.1383756
nitrate Atlantic (26,26.5] -0.3836004 -0.4750424 -0.2935592
nitrate Atlantic (26.5,26.75] -0.5617078 -0.6731034 -0.4779479
nitrate Atlantic (26.75,27] -0.5523670 -0.6987405 -0.4480293
nitrate Atlantic (27,27.25] -0.7375622 -0.8053425 -0.6964481
nitrate Atlantic (27.25,27.5] -0.8592661 -0.9074675 -0.7981898
nitrate Atlantic (27.5,27.75] -0.9020290 -0.9553844 -0.8666821
nitrate Atlantic (27.75,27.85] -0.9565458 -0.9740082 -0.9431963
nitrate Atlantic (27.85,27.95] -0.9790184 -0.9886774 -0.9699908
nitrate Atlantic (27.95,28.05] -0.9528730 -0.9812915 -0.9357588
nitrate Atlantic (28.05,28.1] -0.9932574 -0.9947486 -0.9917974
nitrate Atlantic (28.1,28.15] -0.9926268 -0.9938800 -0.9917265
nitrate Atlantic (28.15,28.2] -0.9920752 -0.9933901 -0.9905750
nitrate Atlantic (28.2, Inf] -0.9672887 -0.9898392 -0.9539884
nitrate Indo-Pacific (-Inf,26] 0.3905014 0.2908617 0.4431312
nitrate Indo-Pacific (26,26.5] -0.3314834 -0.3990055 -0.2949755
nitrate Indo-Pacific (26.5,26.75] -0.6605348 -0.7048604 -0.6098853
nitrate Indo-Pacific (26.75,27] -0.6479232 -0.7245387 -0.6051216
nitrate Indo-Pacific (27,27.25] -0.5079389 -0.5434328 -0.4612199
nitrate Indo-Pacific (27.25,27.5] -0.3188038 -0.4769635 -0.1501741
nitrate Indo-Pacific (27.5,27.75] -0.0261669 -0.3562234 0.3863484
nitrate Indo-Pacific (27.75,27.85] 0.3129807 0.0505693 0.6856989
nitrate Indo-Pacific (27.85,27.95] 0.4201147 0.2769760 0.6715538
nitrate Indo-Pacific (27.95,28.05] 0.3539366 0.1392006 0.5328564
nitrate Indo-Pacific (28.05,28.1] 0.4595502 0.3507723 0.5346116
nitrate Indo-Pacific (28.1, Inf] 0.6110483 0.4817418 0.6785537
phosphate Atlantic (-Inf,26] 0.0695483 0.0467833 0.1142511
phosphate Atlantic (26,26.5] -0.3341893 -0.3969137 -0.2499075
phosphate Atlantic (26.5,26.75] -0.5159058 -0.6545404 -0.4384306
phosphate Atlantic (26.75,27] -0.5584669 -0.7128128 -0.4527350
phosphate Atlantic (27,27.25] -0.7379452 -0.8114255 -0.6837095
phosphate Atlantic (27.25,27.5] -0.8682496 -0.9157727 -0.8022335
phosphate Atlantic (27.5,27.75] -0.9200440 -0.9612377 -0.8985949
phosphate Atlantic (27.75,27.85] -0.9685817 -0.9819635 -0.9573160
phosphate Atlantic (27.85,27.95] -0.9823968 -0.9890562 -0.9774304
phosphate Atlantic (27.95,28.05] -0.9570128 -0.9815542 -0.9437348
phosphate Atlantic (28.05,28.1] -0.9926094 -0.9938737 -0.9915347
phosphate Atlantic (28.1,28.15] -0.9917416 -0.9929533 -0.9901614
phosphate Atlantic (28.15,28.2] -0.9908123 -0.9933333 -0.9878714
phosphate Atlantic (28.2, Inf] -0.9794703 -0.9847616 -0.9756729
phosphate Indo-Pacific (-Inf,26] 0.3408843 0.2426742 0.3989135
phosphate Indo-Pacific (26,26.5] -0.3776310 -0.4267115 -0.3063156
phosphate Indo-Pacific (26.5,26.75] -0.7090438 -0.7352129 -0.6691356
phosphate Indo-Pacific (26.75,27] -0.7376812 -0.7993280 -0.6630629
phosphate Indo-Pacific (27,27.25] -0.5880904 -0.6698144 -0.5036000
phosphate Indo-Pacific (27.25,27.5] -0.3938882 -0.5889133 -0.2001974
phosphate Indo-Pacific (27.5,27.75] -0.0558924 -0.4252730 0.3838774
phosphate Indo-Pacific (27.75,27.85] 0.2719936 -0.0478596 0.6865636
phosphate Indo-Pacific (27.85,27.95] 0.3636823 0.1444790 0.6628915
phosphate Indo-Pacific (27.95,28.05] 0.3436350 0.1418274 0.5024139
phosphate Indo-Pacific (28.05,28.1] 0.4364705 0.3478646 0.4830711
phosphate Indo-Pacific (28.1, Inf] 0.5737580 0.4072663 0.6624339
phosphate_star Atlantic (-Inf,26] 0.6796177 0.6318784 0.7345866
phosphate_star Atlantic (26,26.5] 0.3261600 0.0713485 0.5161307
phosphate_star Atlantic (26.5,26.75] 0.2886153 0.1098748 0.5355639
phosphate_star Atlantic (26.75,27] 0.0142755 -0.2373177 0.3214802
phosphate_star Atlantic (27,27.25] -0.1775082 -0.3440508 -0.0672305
phosphate_star Atlantic (27.25,27.5] -0.4469268 -0.4865144 -0.4146249
phosphate_star Atlantic (27.5,27.75] -0.7219717 -0.7767727 -0.6402553
phosphate_star Atlantic (27.75,27.85] -0.8802116 -0.9262432 -0.8423077
phosphate_star Atlantic (27.85,27.95] -0.9090999 -0.9355268 -0.8881489
phosphate_star Atlantic (27.95,28.05] -0.8927741 -0.9143234 -0.8708792
phosphate_star Atlantic (28.05,28.1] -0.9597242 -0.9746948 -0.9431017
phosphate_star Atlantic (28.1,28.15] -0.9648059 -0.9793130 -0.9540635
phosphate_star Atlantic (28.15,28.2] -0.9776194 -0.9817322 -0.9738439
phosphate_star Atlantic (28.2, Inf] -0.9838143 -0.9909777 -0.9773058
phosphate_star Indo-Pacific (-Inf,26] 0.5629878 0.4919588 0.6178952
phosphate_star Indo-Pacific (26,26.5] -0.1706636 -0.2675797 -0.0732680
phosphate_star Indo-Pacific (26.5,26.75] -0.3189218 -0.3545211 -0.2662920
phosphate_star Indo-Pacific (26.75,27] -0.5301729 -0.5995870 -0.4349159
phosphate_star Indo-Pacific (27,27.25] -0.6445270 -0.6740440 -0.6280455
phosphate_star Indo-Pacific (27.25,27.5] -0.5720960 -0.6854753 -0.4567031
phosphate_star Indo-Pacific (27.5,27.75] -0.1739529 -0.4856523 0.0650394
phosphate_star Indo-Pacific (27.75,27.85] 0.3763188 0.0629051 0.6094303
phosphate_star Indo-Pacific (27.85,27.95] 0.3542602 0.2307855 0.4312354
phosphate_star Indo-Pacific (27.95,28.05] 0.4196190 0.3479081 0.5624963
phosphate_star Indo-Pacific (28.05,28.1] 0.3821088 0.2900578 0.4763443
phosphate_star Indo-Pacific (28.1, Inf] -0.2443988 -0.3323200 -0.1976392
sal Atlantic (-Inf,26] -0.1694258 -0.2101615 -0.0963987
sal Atlantic (26,26.5] -0.7140770 -0.8110392 -0.5920980
sal Atlantic (26.5,26.75] -0.7112062 -0.8539443 -0.6258814
sal Atlantic (26.75,27] -0.5651016 -0.8002184 -0.3762536
sal Atlantic (27,27.25] -0.5785984 -0.7235368 -0.3680239
sal Atlantic (27.25,27.5] -0.4873826 -0.5517884 -0.4005922
sal Atlantic (27.5,27.75] -0.2428763 -0.4990684 0.0581106
sal Atlantic (27.75,27.85] 0.4025214 0.2942210 0.5382687
sal Atlantic (27.85,27.95] 0.4735563 0.3160244 0.6363459
sal Atlantic (27.95,28.05] 0.4797028 0.3713773 0.6308590
sal Atlantic (28.05,28.1] 0.8388321 0.7793066 0.8976166
sal Atlantic (28.1,28.15] 0.9108719 0.8874966 0.9264666
sal Atlantic (28.15,28.2] 0.9118932 0.8820999 0.9271068
sal Atlantic (28.2, Inf] 0.8599302 0.8081980 0.9202461
sal Indo-Pacific (-Inf,26] -0.0734388 -0.1482710 0.0041095
sal Indo-Pacific (26,26.5] -0.0200360 -0.2739036 0.1218556
sal Indo-Pacific (26.5,26.75] 0.0532961 -0.2910738 0.2408711
sal Indo-Pacific (26.75,27] 0.0912224 -0.3021812 0.3090190
sal Indo-Pacific (27,27.25] 0.2834259 0.0044920 0.4428303
sal Indo-Pacific (27.25,27.5] 0.2565341 0.0320343 0.4384146
sal Indo-Pacific (27.5,27.75] -0.0451231 -0.2273360 0.2850448
sal Indo-Pacific (27.75,27.85] -0.0286036 -0.2184471 0.1520664
sal Indo-Pacific (27.85,27.95] 0.0893036 -0.0972423 0.4261294
sal Indo-Pacific (27.95,28.05] -0.1720123 -0.2789463 -0.1040020
sal Indo-Pacific (28.05,28.1] -0.0000673 -0.1328870 0.1048489
sal Indo-Pacific (28.1, Inf] 0.2081190 0.0693844 0.2792764
silicate Atlantic (-Inf,26] -0.3192055 -0.3964664 -0.2425656
silicate Atlantic (26,26.5] -0.2131583 -0.3156787 -0.0231524
silicate Atlantic (26.5,26.75] -0.4859408 -0.5320283 -0.4535740
silicate Atlantic (26.75,27] -0.6091148 -0.6777710 -0.5378935
silicate Atlantic (27,27.25] -0.8105885 -0.8528663 -0.7809994
silicate Atlantic (27.25,27.5] -0.8990861 -0.9323896 -0.8723868
silicate Atlantic (27.5,27.75] -0.9151148 -0.9293530 -0.8880084
silicate Atlantic (27.75,27.85] -0.9424329 -0.9444000 -0.9411346
silicate Atlantic (27.85,27.95] -0.9366619 -0.9445140 -0.9248020
silicate Atlantic (27.95,28.05] -0.8822796 -0.9096558 -0.8480670
silicate Atlantic (28.05,28.1] -0.9447430 -0.9664416 -0.9307518
silicate Atlantic (28.1,28.15] -0.9565970 -0.9739154 -0.9453054
silicate Atlantic (28.15,28.2] -0.9473637 -0.9604263 -0.9314690
silicate Atlantic (28.2, Inf] -0.8893881 -0.9359583 -0.8515038
silicate Indo-Pacific (-Inf,26] 0.2972735 0.1619337 0.4422539
silicate Indo-Pacific (26,26.5] -0.4745171 -0.5195060 -0.4311283
silicate Indo-Pacific (26.5,26.75] -0.7227770 -0.7329313 -0.7158224
silicate Indo-Pacific (26.75,27] -0.6477273 -0.7052565 -0.5917570
silicate Indo-Pacific (27,27.25] -0.5379021 -0.6080559 -0.4550644
silicate Indo-Pacific (27.25,27.5] -0.3453676 -0.5213442 -0.1661325
silicate Indo-Pacific (27.5,27.75] 0.0160454 -0.3168401 0.4221698
silicate Indo-Pacific (27.75,27.85] 0.3485213 0.0545329 0.7528561
silicate Indo-Pacific (27.85,27.95] 0.4235871 0.2111565 0.7339604
silicate Indo-Pacific (27.95,28.05] 0.3852446 0.1668764 0.5773121
silicate Indo-Pacific (28.05,28.1] 0.4710300 0.3623529 0.5404415
silicate Indo-Pacific (28.1, Inf] 0.5656370 0.4393597 0.6460341
temp Atlantic (-Inf,26] -0.7941127 -0.8388807 -0.7433112
temp Atlantic (26,26.5] -0.7315050 -0.8310456 -0.6114188
temp Atlantic (26.5,26.75] -0.7289417 -0.8701914 -0.6345362
temp Atlantic (26.75,27] -0.5639387 -0.8154073 -0.3398991
temp Atlantic (27,27.25] -0.5576550 -0.7029794 -0.3401423
temp Atlantic (27.25,27.5] -0.4675320 -0.5226743 -0.3700828
temp Atlantic (27.5,27.75] -0.1840860 -0.3914807 0.1303404
temp Atlantic (27.75,27.85] 0.4619722 0.3627418 0.5768683
temp Atlantic (27.85,27.95] 0.5136874 0.4049223 0.6418766
temp Atlantic (27.95,28.05] 0.4981914 0.4285498 0.6256720
temp Atlantic (28.05,28.1] 0.7453496 0.6127593 0.8460729
temp Atlantic (28.1,28.15] 0.8216350 0.7571160 0.8661829
temp Atlantic (28.15,28.2] 0.8703376 0.8559153 0.8991344
temp Atlantic (28.2, Inf] 0.8737845 0.8057190 0.9081239
temp Indo-Pacific (-Inf,26] -0.8385655 -0.8581073 -0.8118433
temp Indo-Pacific (26,26.5] -0.0862008 -0.3314609 0.0520439
temp Indo-Pacific (26.5,26.75] 0.0000313 -0.3348260 0.1704120
temp Indo-Pacific (26.75,27] 0.0661435 -0.2983976 0.2518182
temp Indo-Pacific (27,27.25] 0.3106795 0.0252373 0.4674929
temp Indo-Pacific (27.25,27.5] 0.3547963 0.1312662 0.5419497
temp Indo-Pacific (27.5,27.75] 0.1259550 -0.0731668 0.4258310
temp Indo-Pacific (27.75,27.85] -0.1008307 -0.2783978 -0.0013198
temp Indo-Pacific (27.85,27.95] -0.0288654 -0.1931564 0.2018155
temp Indo-Pacific (27.95,28.05] -0.2440795 -0.3699382 -0.1771965
temp Indo-Pacific (28.05,28.1] -0.1137113 -0.1863792 -0.0214933
temp Indo-Pacific (28.1, Inf] 0.3611439 0.1543018 0.4963357 
rm(cor_target_predictor, cor_target_predictor_stats)

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

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   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_3.3.3    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_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           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_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1