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1 Required data

Required are:

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

2 Predictor 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 coeffcients.

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
4d612dd jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
4d612dd jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11

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

/nfs/kryo/work/jenmueller/emlr_cant/observations/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 assesment

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
f155edd jens-daniel-mueller 2021-03-23
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30 
# 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] 0.9038603 0.9027400 0.9049807
aou + nitrate Atlantic (26,26.5] 0.8886463 0.8749882 0.9023044
aou + nitrate Atlantic (26.5,26.75] 0.9596471 0.9465393 0.9727549
aou + nitrate Atlantic (26.75,27] 0.9310338 0.9225176 0.9395499
aou + nitrate Atlantic (27,27.25] 0.9035218 0.8774733 0.9295703
aou + nitrate Atlantic (27.25,27.5] 0.8060586 0.7682751 0.8438422
aou + nitrate Atlantic (27.5,27.75] 0.8680877 0.8511314 0.8850440
aou + nitrate Atlantic (27.75,27.85] 0.9372369 0.9364133 0.9380605
aou + nitrate Atlantic (27.85,27.95] 0.9496713 0.9464077 0.9529349
aou + nitrate Atlantic (27.95,28.05] 0.9503727 0.9490372 0.9517081
aou + nitrate Atlantic (28.05,28.1] 0.9595989 0.9455333 0.9736644
aou + nitrate Atlantic (28.1,28.15] 0.9769648 0.9664020 0.9875276
aou + nitrate Atlantic (28.15,28.2] 0.9819679 0.9690389 0.9948969
aou + nitrate Atlantic (28.2, Inf] 0.8728243 0.8614932 0.8841555
aou + nitrate Indo-Pacific (-Inf,26] 0.9266918 0.8940446 0.9593389
aou + nitrate Indo-Pacific (26,26.5] 0.9127704 0.9016562 0.9238847
aou + nitrate Indo-Pacific (26.5,26.75] 0.9254255 0.9199820 0.9308690
aou + nitrate Indo-Pacific (26.75,27] 0.9386836 0.9338385 0.9435287
aou + nitrate Indo-Pacific (27,27.25] 0.9489704 0.9328776 0.9650632
aou + nitrate Indo-Pacific (27.25,27.5] 0.9392086 0.9059598 0.9724575
aou + nitrate Indo-Pacific (27.5,27.75] 0.9374892 0.9032909 0.9716876
aou + nitrate Indo-Pacific (27.75,27.85] 0.9607409 0.9409752 0.9805067
aou + nitrate Indo-Pacific (27.85,27.95] 0.9659316 0.9551704 0.9766927
aou + nitrate Indo-Pacific (27.95,28.05] 0.9522774 0.9431133 0.9614414
aou + nitrate Indo-Pacific (28.05,28.1] 0.9373437 0.9287210 0.9459664
aou + nitrate Indo-Pacific (28.1, Inf] 0.7428923 0.7237843 0.7620004
aou + phosphate Atlantic (-Inf,26] 0.5843087 0.4370072 0.7316102
aou + phosphate Atlantic (26,26.5] 0.7178093 0.6815971 0.7540216
aou + phosphate Atlantic (26.5,26.75] 0.8976245 0.8698888 0.9253602
aou + phosphate Atlantic (26.75,27] 0.8699822 0.8594974 0.8804669
aou + phosphate Atlantic (27,27.25] 0.8611597 0.8310722 0.8912472
aou + phosphate Atlantic (27.25,27.5] 0.7566020 0.7186080 0.7945960
aou + phosphate Atlantic (27.5,27.75] 0.8382071 0.8244492 0.8519650
aou + phosphate Atlantic (27.75,27.85] 0.9197310 0.9190375 0.9204245
aou + phosphate Atlantic (27.85,27.95] 0.9401163 0.9394324 0.9408001
aou + phosphate Atlantic (27.95,28.05] 0.9448994 0.9437318 0.9460670
aou + phosphate Atlantic (28.05,28.1] 0.9523352 0.9369046 0.9677658
aou + phosphate Atlantic (28.1,28.15] 0.9722324 0.9626646 0.9818002
aou + phosphate Atlantic (28.15,28.2] 0.9813636 0.9687027 0.9940245
aou + phosphate Atlantic (28.2, Inf] 0.8724879 0.8586586 0.8863173
aou + phosphate Indo-Pacific (-Inf,26] 0.9388615 0.9118229 0.9659001
aou + phosphate Indo-Pacific (26,26.5] 0.9582265 0.9498712 0.9665818
aou + phosphate Indo-Pacific (26.5,26.75] 0.9575288 0.9493725 0.9656851
aou + phosphate Indo-Pacific (26.75,27] 0.9506650 0.9472640 0.9540661
aou + phosphate Indo-Pacific (27,27.25] 0.9654772 0.9616959 0.9692584
aou + phosphate Indo-Pacific (27.25,27.5] 0.9692600 0.9590014 0.9795187
aou + phosphate Indo-Pacific (27.5,27.75] 0.9701251 0.9595627 0.9806875
aou + phosphate Indo-Pacific (27.75,27.85] 0.9767902 0.9692612 0.9843191
aou + phosphate Indo-Pacific (27.85,27.95] 0.9731207 0.9668864 0.9793550
aou + phosphate Indo-Pacific (27.95,28.05] 0.9591658 0.9510965 0.9672352
aou + phosphate Indo-Pacific (28.05,28.1] 0.9411275 0.9322599 0.9499952
aou + phosphate Indo-Pacific (28.1, Inf] 0.7414945 0.7047280 0.7782611
aou + phosphate_star Atlantic (-Inf,26] -0.0133538 -0.3533612 0.3266535
aou + phosphate_star Atlantic (26,26.5] 0.2787722 0.1874541 0.3700902
aou + phosphate_star Atlantic (26.5,26.75] 0.5481401 0.4630109 0.6332693
aou + phosphate_star Atlantic (26.75,27] 0.3340661 0.2966855 0.3714467
aou + phosphate_star Atlantic (27,27.25] 0.4194736 0.3233430 0.5156042
aou + phosphate_star Atlantic (27.25,27.5] 0.2995011 0.2339431 0.3650591
aou + phosphate_star Atlantic (27.5,27.75] 0.5401870 0.5149977 0.5653763
aou + phosphate_star Atlantic (27.75,27.85] 0.6633054 0.6538501 0.6727607
aou + phosphate_star Atlantic (27.85,27.95] 0.6430171 0.6097815 0.6762526
aou + phosphate_star Atlantic (27.95,28.05] 0.7446305 0.7176110 0.7716501
aou + phosphate_star Atlantic (28.05,28.1] 0.8263344 0.7832729 0.8693958
aou + phosphate_star Atlantic (28.1,28.15] 0.8950776 0.8642083 0.9259469
aou + phosphate_star Atlantic (28.15,28.2] 0.9320820 0.8836436 0.9805204
aou + phosphate_star Atlantic (28.2, Inf] 0.6397650 0.6170687 0.6624614
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6477587 0.5637157 0.7318016
aou + phosphate_star Indo-Pacific (26,26.5] 0.6217173 0.6169300 0.6265046
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.5468374 0.5246015 0.5690733
aou + phosphate_star Indo-Pacific (26.75,27] 0.4024108 0.3269054 0.4779161
aou + phosphate_star Indo-Pacific (27,27.25] 0.0283578 -0.0718071 0.1285228
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.4383350 -0.4540489 -0.4226211
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.5913698 -0.6022901 -0.5804496
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.4733657 -0.4776178 -0.4691137
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.1578773 -0.1617204 -0.1540343
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.1942865 0.1895182 0.1990548
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.2677200 0.2597164 0.2757236
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.6964063 -0.7096579 -0.6831548
aou + silicate Atlantic (-Inf,26] 0.3798677 0.1879405 0.5717949
aou + silicate Atlantic (26,26.5] 0.6480594 0.6097835 0.6863353
aou + silicate Atlantic (26.5,26.75] 0.8621216 0.7985964 0.9256468
aou + silicate Atlantic (26.75,27] 0.8648836 0.8395793 0.8901880
aou + silicate Atlantic (27,27.25] 0.8451874 0.8056858 0.8846890
aou + silicate Atlantic (27.25,27.5] 0.6191787 0.5393290 0.6990284
aou + silicate Atlantic (27.5,27.75] 0.6620860 0.6399505 0.6842215
aou + silicate Atlantic (27.75,27.85] 0.8316638 0.8214576 0.8418700
aou + silicate Atlantic (27.85,27.95] 0.8830849 0.8802817 0.8858881
aou + silicate Atlantic (27.95,28.05] 0.9329740 0.9323347 0.9336134
aou + silicate Atlantic (28.05,28.1] 0.9560790 0.9493878 0.9627702
aou + silicate Atlantic (28.1,28.15] 0.9762815 0.9722465 0.9803164
aou + silicate Atlantic (28.15,28.2] 0.9873895 0.9808855 0.9938934
aou + silicate Atlantic (28.2, Inf] 0.8901657 0.8770355 0.9032959
aou + silicate Indo-Pacific (-Inf,26] 0.7453228 0.6848778 0.8057678
aou + silicate Indo-Pacific (26,26.5] 0.7140796 0.6760648 0.7520945
aou + silicate Indo-Pacific (26.5,26.75] 0.7111379 0.6904748 0.7318009
aou + silicate Indo-Pacific (26.75,27] 0.7750270 0.7693670 0.7806869
aou + silicate Indo-Pacific (27,27.25] 0.8780522 0.8496207 0.9064836
aou + silicate Indo-Pacific (27.25,27.5] 0.9035481 0.8716421 0.9354540
aou + silicate Indo-Pacific (27.5,27.75] 0.9135887 0.8780379 0.9491395
aou + silicate Indo-Pacific (27.75,27.85] 0.9612827 0.9501923 0.9723731
aou + silicate Indo-Pacific (27.85,27.95] 0.9574268 0.9486668 0.9661868
aou + silicate Indo-Pacific (27.95,28.05] 0.9446026 0.9384557 0.9507494
aou + silicate Indo-Pacific (28.05,28.1] 0.9468932 0.9447396 0.9490467
aou + silicate Indo-Pacific (28.1, Inf] 0.6668150 0.6445186 0.6891115
nitrate + phosphate Atlantic (-Inf,26] 0.7040550 0.6555861 0.7525239
nitrate + phosphate Atlantic (26,26.5] 0.9085831 0.9056913 0.9114750
nitrate + phosphate Atlantic (26.5,26.75] 0.9779427 0.9745927 0.9812926
nitrate + phosphate Atlantic (26.75,27] 0.9843370 0.9835974 0.9850766
nitrate + phosphate Atlantic (27,27.25] 0.9910500 0.9905223 0.9915777
nitrate + phosphate Atlantic (27.25,27.5] 0.9925692 0.9925287 0.9926097
nitrate + phosphate Atlantic (27.5,27.75] 0.9928538 0.9924322 0.9932753
nitrate + phosphate Atlantic (27.75,27.85] 0.9931695 0.9924653 0.9938738
nitrate + phosphate Atlantic (27.85,27.95] 0.9901185 0.9900307 0.9902064
nitrate + phosphate Atlantic (27.95,28.05] 0.9898892 0.9886580 0.9911204
nitrate + phosphate Atlantic (28.05,28.1] 0.9908218 0.9903153 0.9913284
nitrate + phosphate Atlantic (28.1,28.15] 0.9955012 0.9949114 0.9960910
nitrate + phosphate Atlantic (28.15,28.2] 0.9969214 0.9966978 0.9971451
nitrate + phosphate Atlantic (28.2, Inf] 0.9937010 0.9918822 0.9955198
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9669042 0.9583713 0.9754371
nitrate + phosphate Indo-Pacific (26,26.5] 0.9550231 0.9499999 0.9600463
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.9633550 0.9574669 0.9692432
nitrate + phosphate Indo-Pacific (26.75,27] 0.9826887 0.9765884 0.9887891
nitrate + phosphate Indo-Pacific (27,27.25] 0.9829247 0.9744674 0.9913821
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9806090 0.9692554 0.9919627
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9740572 0.9572404 0.9908740
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9740556 0.9573399 0.9907713
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9775867 0.9649902 0.9901832
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9751598 0.9666234 0.9836962
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9718200 0.9619607 0.9816793
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9139769 0.8747434 0.9532105
nitrate + phosphate_star Atlantic (-Inf,26] 0.1727149 -0.0503801 0.3958098
nitrate + phosphate_star Atlantic (26,26.5] 0.6227262 0.5873410 0.6581113
nitrate + phosphate_star Atlantic (26.5,26.75] 0.7456462 0.7088011 0.7824913
nitrate + phosphate_star Atlantic (26.75,27] 0.6445777 0.6330850 0.6560704
nitrate + phosphate_star Atlantic (27,27.25] 0.7590478 0.7289808 0.7891148
nitrate + phosphate_star Atlantic (27.25,27.5] 0.7979075 0.7950524 0.8007626
nitrate + phosphate_star Atlantic (27.5,27.75] 0.8748760 0.8733809 0.8763711
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8709276 0.8674249 0.8744304
nitrate + phosphate_star Atlantic (27.85,27.95] 0.8305636 0.8020037 0.8591235
nitrate + phosphate_star Atlantic (27.95,28.05] 0.8941210 0.8718715 0.9163706
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9357596 0.9293650 0.9421543
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9611318 0.9571372 0.9651264
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9777835 0.9661282 0.9894389
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9220537 0.9206382 0.9234692
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.8393897 0.8283348 0.8504446
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.8004032 0.7632464 0.8375600
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.7422914 0.6983635 0.7862193
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.6493955 0.5851607 0.7136303
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.2898708 0.2283372 0.3514044
nitrate + phosphate_star Indo-Pacific (27.25,27.5] -0.1558361 -0.2330532 -0.0786190
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.3260453 -0.4272286 -0.2248620
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.2797401 -0.3317782 -0.2277020
nitrate + phosphate_star Indo-Pacific (27.85,27.95] 0.0294836 0.0130331 0.0459342
nitrate + phosphate_star Indo-Pacific (27.95,28.05] 0.4132339 0.4059983 0.4204694
nitrate + phosphate_star Indo-Pacific (28.05,28.1] 0.5186606 0.5098363 0.5274849
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.1132311 -0.1346164 -0.0918458
nitrate + silicate Atlantic (-Inf,26] 0.5563112 0.4440682 0.6685541
nitrate + silicate Atlantic (26,26.5] 0.8253773 0.8108770 0.8398776
nitrate + silicate Atlantic (26.5,26.75] 0.9318029 0.8961550 0.9674509
nitrate + silicate Atlantic (26.75,27] 0.9419569 0.9199608 0.9639530
nitrate + silicate Atlantic (27,27.25] 0.9560689 0.9445416 0.9675961
nitrate + silicate Atlantic (27.25,27.5] 0.9112472 0.8980683 0.9244262
nitrate + silicate Atlantic (27.5,27.75] 0.8924682 0.8915393 0.8933972
nitrate + silicate Atlantic (27.75,27.85] 0.9461982 0.9382695 0.9541270
nitrate + silicate Atlantic (27.85,27.95] 0.9680808 0.9640188 0.9721427
nitrate + silicate Atlantic (27.95,28.05] 0.9799867 0.9773329 0.9826405
nitrate + silicate Atlantic (28.05,28.1] 0.9877837 0.9870297 0.9885378
nitrate + silicate Atlantic (28.1,28.15] 0.9917888 0.9909163 0.9926614
nitrate + silicate Atlantic (28.15,28.2] 0.9928906 0.9895997 0.9961815
nitrate + silicate Atlantic (28.2, Inf] 0.9796189 0.9761019 0.9831360
nitrate + silicate Indo-Pacific (-Inf,26] 0.8738537 0.8663253 0.8813821
nitrate + silicate Indo-Pacific (26,26.5] 0.8459675 0.8322682 0.8596667
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8429471 0.8408681 0.8450261
nitrate + silicate Indo-Pacific (26.75,27] 0.8594286 0.8562001 0.8626571
nitrate + silicate Indo-Pacific (27,27.25] 0.8974747 0.8743382 0.9206112
nitrate + silicate Indo-Pacific (27.25,27.5] 0.8777743 0.8386760 0.9168725
nitrate + silicate Indo-Pacific (27.5,27.75] 0.8776223 0.8370960 0.9181487
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9374006 0.9177095 0.9570917
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9510253 0.9384525 0.9635982
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9414457 0.9367596 0.9461318
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9498191 0.9463219 0.9533163
nitrate + silicate Indo-Pacific (28.1, Inf] 0.7664576 0.7498740 0.7830412
phosphate + phosphate_star Atlantic (-Inf,26] 0.7738832 0.6753874 0.8723790
phosphate + phosphate_star Atlantic (26,26.5] 0.8654624 0.8441640 0.8867608
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8587387 0.8386354 0.8788420
phosphate + phosphate_star Atlantic (26.75,27] 0.7544924 0.7425511 0.7664336
phosphate + phosphate_star Atlantic (27,27.25] 0.8209976 0.7943769 0.8476183
phosphate + phosphate_star Atlantic (27.25,27.5] 0.8488031 0.8432983 0.8543080
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9091969 0.9070120 0.9113819
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9020120 0.8957800 0.9082439
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8630678 0.8403551 0.8857806
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9189164 0.9012088 0.9366239
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9572171 0.9500871 0.9643471
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9738015 0.9675731 0.9800300
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9836690 0.9717757 0.9955622
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9320553 0.9319898 0.9321207
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8512180 0.8348660 0.8675700
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.8159147 0.7953283 0.8365010
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.7610365 0.7253010 0.7967721
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6624878 0.5925146 0.7324610
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.2818444 0.1986745 0.3650143
phosphate + phosphate_star Indo-Pacific (27.25,27.5] -0.2172282 -0.2406894 -0.1937671
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.3983407 -0.4486862 -0.3479953
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.2915047 -0.3265309 -0.2564785
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.0611044 0.0322536 0.0899552
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.4564675 0.4364171 0.4765179
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.5728912 0.5593271 0.5864553
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.0415969 -0.0771507 -0.0060432
sal + aou Atlantic (-Inf,26] -0.0044431 -0.3265041 0.3176179
sal + aou Atlantic (26,26.5] -0.1494814 -0.2210556 -0.0779072
sal + aou Atlantic (26.5,26.75] -0.4423173 -0.5242911 -0.3603435
sal + aou Atlantic (26.75,27] -0.2854181 -0.3234717 -0.2473645
sal + aou Atlantic (27,27.25] -0.4291231 -0.5283811 -0.3298651
sal + aou Atlantic (27.25,27.5] -0.2924273 -0.3611168 -0.2237378
sal + aou Atlantic (27.5,27.75] -0.4058902 -0.4444871 -0.3672933
sal + aou Atlantic (27.75,27.85] -0.3708225 -0.3726641 -0.3689809
sal + aou Atlantic (27.85,27.95] -0.2464300 -0.3292312 -0.1636288
sal + aou Atlantic (27.95,28.05] -0.4271526 -0.5838506 -0.2704545
sal + aou Atlantic (28.05,28.1] -0.6770247 -0.7148616 -0.6391878
sal + aou Atlantic (28.1,28.15] -0.8073898 -0.8440355 -0.7707442
sal + aou Atlantic (28.15,28.2] -0.8843729 -0.9591922 -0.8095536
sal + aou Atlantic (28.2, Inf] -0.6675493 -0.6929303 -0.6421683
sal + aou Indo-Pacific (-Inf,26] -0.0782214 -0.1090911 -0.0473517
sal + aou Indo-Pacific (26,26.5] -0.1305836 -0.2558540 -0.0053133
sal + aou Indo-Pacific (26.5,26.75] -0.2042578 -0.3625285 -0.0459872
sal + aou Indo-Pacific (26.75,27] -0.1650660 -0.3570264 0.0268943
sal + aou Indo-Pacific (27,27.25] 0.0367421 -0.1677316 0.2412158
sal + aou Indo-Pacific (27.25,27.5] 0.2115607 0.0704028 0.3527186
sal + aou Indo-Pacific (27.5,27.75] 0.1538737 -0.0091506 0.3168980
sal + aou Indo-Pacific (27.75,27.85] -0.0088981 -0.1955862 0.1777899
sal + aou Indo-Pacific (27.85,27.95] -0.1378099 -0.2699355 -0.0056842
sal + aou Indo-Pacific (27.95,28.05] -0.2554814 -0.3528208 -0.1581420
sal + aou Indo-Pacific (28.05,28.1] -0.2397793 -0.2825890 -0.1969697
sal + aou Indo-Pacific (28.1, Inf] 0.4887067 0.4819299 0.4954836
sal + nitrate Atlantic (-Inf,26] -0.1364996 -0.3348950 0.0618959
sal + nitrate Atlantic (26,26.5] -0.4727424 -0.5009372 -0.4445477
sal + nitrate Atlantic (26.5,26.75] -0.6459271 -0.6843376 -0.6075166
sal + nitrate Atlantic (26.75,27] -0.5917884 -0.6028671 -0.5807098
sal + nitrate Atlantic (27,27.25] -0.7569927 -0.7919328 -0.7220526
sal + nitrate Atlantic (27.25,27.5] -0.7749061 -0.7790891 -0.7707231
sal + nitrate Atlantic (27.5,27.75] -0.7450584 -0.7575830 -0.7325337
sal + nitrate Atlantic (27.75,27.85] -0.6156256 -0.6171503 -0.6141010
sal + nitrate Atlantic (27.85,27.95] -0.4862854 -0.5623014 -0.4102694
sal + nitrate Atlantic (27.95,28.05] -0.6285110 -0.7624389 -0.4945831
sal + nitrate Atlantic (28.05,28.1] -0.8137662 -0.8171954 -0.8103370
sal + nitrate Atlantic (28.1,28.15] -0.8867825 -0.8907848 -0.8827802
sal + nitrate Atlantic (28.15,28.2] -0.9333531 -0.9579197 -0.9087865
sal + nitrate Atlantic (28.2, Inf] -0.9292044 -0.9333960 -0.9250128
sal + nitrate Indo-Pacific (-Inf,26] -0.3202090 -0.3513202 -0.2890978
sal + nitrate Indo-Pacific (26,26.5] -0.4203694 -0.5697900 -0.2709488
sal + nitrate Indo-Pacific (26.5,26.75] -0.4748682 -0.6382592 -0.3114772
sal + nitrate Indo-Pacific (26.75,27] -0.4301192 -0.5921769 -0.2680614
sal + nitrate Indo-Pacific (27,27.25] -0.1909846 -0.3362701 -0.0456992
sal + nitrate Indo-Pacific (27.25,27.5] -0.0088586 -0.0329612 0.0152440
sal + nitrate Indo-Pacific (27.5,27.75] -0.0667344 -0.1113126 -0.0221562
sal + nitrate Indo-Pacific (27.75,27.85] -0.1830495 -0.2927260 -0.0733730
sal + nitrate Indo-Pacific (27.85,27.95] -0.3008010 -0.3957969 -0.2058050
sal + nitrate Indo-Pacific (27.95,28.05] -0.4602641 -0.5276594 -0.3928688
sal + nitrate Indo-Pacific (28.05,28.1] -0.4917417 -0.5305357 -0.4529477
sal + nitrate Indo-Pacific (28.1, Inf] -0.0080163 -0.0620547 0.0460221
sal + phosphate Atlantic (-Inf,26] -0.6393486 -0.7619298 -0.5167673
sal + phosphate Atlantic (26,26.5] -0.7615935 -0.7770377 -0.7461493
sal + phosphate Atlantic (26.5,26.75] -0.7768577 -0.7984814 -0.7552339
sal + phosphate Atlantic (26.75,27] -0.7081825 -0.7192985 -0.6970665
sal + phosphate Atlantic (27,27.25] -0.8144826 -0.8440449 -0.7849203
sal + phosphate Atlantic (27.25,27.5] -0.8235952 -0.8311771 -0.8160132
sal + phosphate Atlantic (27.5,27.75] -0.7860232 -0.8013106 -0.7707357
sal + phosphate Atlantic (27.75,27.85] -0.6564208 -0.6623330 -0.6505086
sal + phosphate Atlantic (27.85,27.95] -0.5117839 -0.5779665 -0.4456014
sal + phosphate Atlantic (27.95,28.05] -0.6410897 -0.7739871 -0.5081923
sal + phosphate Atlantic (28.05,28.1] -0.8266713 -0.8333731 -0.8199696
sal + phosphate Atlantic (28.1,28.15] -0.8982906 -0.9027056 -0.8938755
sal + phosphate Atlantic (28.15,28.2] -0.9347735 -0.9553401 -0.9142069
sal + phosphate Atlantic (28.2, Inf] -0.9311657 -0.9338940 -0.9284374
sal + phosphate Indo-Pacific (-Inf,26] -0.1825910 -0.1876948 -0.1774872
sal + phosphate Indo-Pacific (26,26.5] -0.3522015 -0.4961844 -0.2082187
sal + phosphate Indo-Pacific (26.5,26.75] -0.4303784 -0.6018959 -0.2588609
sal + phosphate Indo-Pacific (26.75,27] -0.4162125 -0.6038473 -0.2285777
sal + phosphate Indo-Pacific (27,27.25] -0.1562957 -0.3459813 0.0333899
sal + phosphate Indo-Pacific (27.25,27.5] 0.0779505 -0.0153420 0.1712429
sal + phosphate Indo-Pacific (27.5,27.75] 0.0588733 -0.0631781 0.1809247
sal + phosphate Indo-Pacific (27.75,27.85] -0.0654578 -0.2398986 0.1089830
sal + phosphate Indo-Pacific (27.85,27.95] -0.2250245 -0.3618803 -0.0881687
sal + phosphate Indo-Pacific (27.95,28.05] -0.4213970 -0.5120760 -0.3307180
sal + phosphate Indo-Pacific (28.05,28.1] -0.4704431 -0.5129195 -0.4279667
sal + phosphate Indo-Pacific (28.1, Inf] -0.0083644 -0.0311970 0.0144681
sal + phosphate_star Atlantic (-Inf,26] -0.8828976 -0.8956175 -0.8701778
sal + phosphate_star Atlantic (26,26.5] -0.9598997 -0.9600680 -0.9597314
sal + phosphate_star Atlantic (26.5,26.75] -0.9756843 -0.9778128 -0.9735558
sal + phosphate_star Atlantic (26.75,27] -0.9808443 -0.9832405 -0.9784481
sal + phosphate_star Atlantic (27,27.25] -0.9820344 -0.9823928 -0.9816759
sal + phosphate_star Atlantic (27.25,27.5] -0.9744240 -0.9745416 -0.9743064
sal + phosphate_star Atlantic (27.5,27.75] -0.9322677 -0.9392613 -0.9252740
sal + phosphate_star Atlantic (27.75,27.85] -0.8770329 -0.8791496 -0.8749162
sal + phosphate_star Atlantic (27.85,27.95] -0.8224015 -0.8332284 -0.8115746
sal + phosphate_star Atlantic (27.95,28.05] -0.8393473 -0.9021335 -0.7765611
sal + phosphate_star Atlantic (28.05,28.1] -0.9173368 -0.9344928 -0.9001809
sal + phosphate_star Atlantic (28.1,28.15] -0.9524880 -0.9592393 -0.9457368
sal + phosphate_star Atlantic (28.15,28.2] -0.9614563 -0.9683097 -0.9546029
sal + phosphate_star Atlantic (28.2, Inf] -0.9780108 -0.9794418 -0.9765798
sal + phosphate_star Indo-Pacific (-Inf,26] -0.4851502 -0.4962627 -0.4740376
sal + phosphate_star Indo-Pacific (26,26.5] -0.7583354 -0.8302365 -0.6864342
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8502866 -0.9151369 -0.7854362
sal + phosphate_star Indo-Pacific (26.75,27] -0.8890344 -0.9311243 -0.8469445
sal + phosphate_star Indo-Pacific (27,27.25] -0.8461817 -0.8464138 -0.8459496
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.7171358 -0.8295481 -0.6047234
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.5799521 -0.7500262 -0.4098780
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.4968757 -0.6068090 -0.3869424
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.5775439 -0.5962956 -0.5587922
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7599717 -0.7993177 -0.7206256
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8369163 -0.8800375 -0.7937951
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.7589763 -0.8173862 -0.7005665
sal + silicate Atlantic (-Inf,26] -0.6853471 -0.7077859 -0.6629083
sal + silicate Atlantic (26,26.5] -0.6915663 -0.6931599 -0.6899728
sal + silicate Atlantic (26.5,26.75] -0.7057167 -0.7262705 -0.6851630
sal + silicate Atlantic (26.75,27] -0.6024622 -0.6269356 -0.5779888
sal + silicate Atlantic (27,27.25] -0.7662639 -0.7950502 -0.7374775
sal + silicate Atlantic (27.25,27.5] -0.8157861 -0.8275797 -0.8039926
sal + silicate Atlantic (27.5,27.75] -0.7413289 -0.7477819 -0.7348758
sal + silicate Atlantic (27.75,27.85] -0.6557979 -0.6658496 -0.6457461
sal + silicate Atlantic (27.85,27.95] -0.5886862 -0.6518001 -0.5255724
sal + silicate Atlantic (27.95,28.05] -0.6734754 -0.7986474 -0.5483034
sal + silicate Atlantic (28.05,28.1] -0.8324015 -0.8426865 -0.8221166
sal + silicate Atlantic (28.1,28.15] -0.8907340 -0.9079561 -0.8735120
sal + silicate Atlantic (28.15,28.2] -0.9128193 -0.9578405 -0.8677980
sal + silicate Atlantic (28.2, Inf] -0.8929039 -0.9138893 -0.8719184
sal + silicate Indo-Pacific (-Inf,26] -0.4730325 -0.5440369 -0.4020281
sal + silicate Indo-Pacific (26,26.5] -0.5259231 -0.6698668 -0.3819794
sal + silicate Indo-Pacific (26.5,26.75] -0.6552136 -0.8051124 -0.5053149
sal + silicate Indo-Pacific (26.75,27] -0.6141357 -0.7624814 -0.4657900
sal + silicate Indo-Pacific (27,27.25] -0.3298988 -0.4907814 -0.1690163
sal + silicate Indo-Pacific (27.25,27.5] -0.0564606 -0.1557695 0.0428483
sal + silicate Indo-Pacific (27.5,27.75] -0.0131925 -0.0808630 0.0544781
sal + silicate Indo-Pacific (27.75,27.85] -0.1062310 -0.2487512 0.0362891
sal + silicate Indo-Pacific (27.85,27.95] -0.2183256 -0.3261849 -0.1104664
sal + silicate Indo-Pacific (27.95,28.05] -0.3509972 -0.4225719 -0.2794226
sal + silicate Indo-Pacific (28.05,28.1] -0.3834187 -0.4162848 -0.3505525
sal + silicate Indo-Pacific (28.1, Inf] 0.1184651 0.0923992 0.1445309
sal + temp Atlantic (-Inf,26] 0.9049549 0.8626473 0.9472625
sal + temp Atlantic (26,26.5] 0.9638081 0.9603651 0.9672511
sal + temp Atlantic (26.5,26.75] 0.9894280 0.9887001 0.9901559
sal + temp Atlantic (26.75,27] 0.9816108 0.9806957 0.9825259
sal + temp Atlantic (27,27.25] 0.9809558 0.9798786 0.9820330
sal + temp Atlantic (27.25,27.5] 0.9774779 0.9767762 0.9781795
sal + temp Atlantic (27.5,27.75] 0.9733288 0.9727433 0.9739144
sal + temp Atlantic (27.75,27.85] 0.9819261 0.9808344 0.9830178
sal + temp Atlantic (27.85,27.95] 0.9473333 0.9459810 0.9486856
sal + temp Atlantic (27.95,28.05] 0.8928511 0.8597380 0.9259643
sal + temp Atlantic (28.05,28.1] 0.9576888 0.9485736 0.9668040
sal + temp Atlantic (28.1,28.15] 0.9572977 0.9507136 0.9638817
sal + temp Atlantic (28.15,28.2] 0.8824297 0.8821746 0.8826848
sal + temp Atlantic (28.2, Inf] 0.1779471 0.1327469 0.2231473
sal + temp Indo-Pacific (-Inf,26] 0.7637450 0.7151378 0.8123521
sal + temp Indo-Pacific (26,26.5] 0.9452592 0.9440907 0.9464277
sal + temp Indo-Pacific (26.5,26.75] 0.9816447 0.9805004 0.9827890
sal + temp Indo-Pacific (26.75,27] 0.9784743 0.9779640 0.9789846
sal + temp Indo-Pacific (27,27.25] 0.9549616 0.9446549 0.9652682
sal + temp Indo-Pacific (27.25,27.5] 0.9006124 0.8525422 0.9486826
sal + temp Indo-Pacific (27.5,27.75] 0.7973258 0.6902250 0.9044266
sal + temp Indo-Pacific (27.75,27.85] 0.8833021 0.8382434 0.9283609
sal + temp Indo-Pacific (27.85,27.95] 0.8215403 0.7822498 0.8608308
sal + temp Indo-Pacific (27.95,28.05] 0.7772453 0.7374156 0.8170750
sal + temp Indo-Pacific (28.05,28.1] 0.7708860 0.7532616 0.7885103
sal + temp Indo-Pacific (28.1, Inf] 0.6960264 0.6675161 0.7245367
silicate + phosphate Atlantic (-Inf,26] 0.7090415 0.6730901 0.7449929
silicate + phosphate Atlantic (26,26.5] 0.8966192 0.8886772 0.9045612
silicate + phosphate Atlantic (26.5,26.75] 0.9375344 0.9061480 0.9689209
silicate + phosphate Atlantic (26.75,27] 0.9429501 0.9238883 0.9620119
silicate + phosphate Atlantic (27,27.25] 0.9612998 0.9535050 0.9690946
silicate + phosphate Atlantic (27.25,27.5] 0.9288900 0.9191550 0.9386251
silicate + phosphate Atlantic (27.5,27.75] 0.9049980 0.9042104 0.9057856
silicate + phosphate Atlantic (27.75,27.85] 0.9497507 0.9421810 0.9573205
silicate + phosphate Atlantic (27.85,27.95] 0.9686534 0.9648291 0.9724778
silicate + phosphate Atlantic (27.95,28.05] 0.9788291 0.9756388 0.9820195
silicate + phosphate Atlantic (28.05,28.1] 0.9861096 0.9853103 0.9869090
silicate + phosphate Atlantic (28.1,28.15] 0.9928783 0.9917023 0.9940542
silicate + phosphate Atlantic (28.15,28.2] 0.9916801 0.9877230 0.9956371
silicate + phosphate Atlantic (28.2, Inf] 0.9803619 0.9753987 0.9853250
silicate + phosphate Indo-Pacific (-Inf,26] 0.7873617 0.7570144 0.8177090
silicate + phosphate Indo-Pacific (26,26.5] 0.7985920 0.7760462 0.8211379
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8167164 0.8138483 0.8195844
silicate + phosphate Indo-Pacific (26.75,27] 0.8659433 0.8617084 0.8701782
silicate + phosphate Indo-Pacific (27,27.25] 0.9085413 0.8880075 0.9290750
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8922702 0.8609976 0.9235428
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8849747 0.8476499 0.9222995
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9461422 0.9311175 0.9611668
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9599127 0.9497970 0.9700285
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9554757 0.9479388 0.9630126
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9533120 0.9453214 0.9613026
silicate + phosphate Indo-Pacific (28.1, Inf] 0.7481337 0.7098484 0.7864190
silicate + phosphate_star Atlantic (-Inf,26] 0.6266565 0.6035773 0.6497357
silicate + phosphate_star Atlantic (26,26.5] 0.7755839 0.7731429 0.7780248
silicate + phosphate_star Atlantic (26.5,26.75] 0.7874273 0.7593432 0.8155114
silicate + phosphate_star Atlantic (26.75,27] 0.6554007 0.6293623 0.6814392
silicate + phosphate_star Atlantic (27,27.25] 0.7732916 0.7464510 0.8001321
silicate + phosphate_star Atlantic (27.25,27.5] 0.8617663 0.8486966 0.8748360
silicate + phosphate_star Atlantic (27.5,27.75] 0.8970720 0.8944817 0.8996622
silicate + phosphate_star Atlantic (27.75,27.85] 0.9019539 0.8999439 0.9039639
silicate + phosphate_star Atlantic (27.85,27.95] 0.8867772 0.8653068 0.9082476
silicate + phosphate_star Atlantic (27.95,28.05] 0.9045555 0.8840205 0.9250905
silicate + phosphate_star Atlantic (28.05,28.1] 0.9348212 0.9209122 0.9487302
silicate + phosphate_star Atlantic (28.1,28.15] 0.9586373 0.9446100 0.9726646
silicate + phosphate_star Atlantic (28.15,28.2] 0.9627721 0.9366052 0.9889389
silicate + phosphate_star Atlantic (28.2, Inf] 0.8900998 0.8829571 0.8972426
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7427785 0.7403805 0.7451766
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7790750 0.7689486 0.7892014
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.8102686 0.7804787 0.8400584
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7275752 0.6891262 0.7660242
silicate + phosphate_star Indo-Pacific (27,27.25] 0.3164100 0.2616507 0.3711692
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.2482504 -0.2772051 -0.2192956
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.4473320 -0.5234434 -0.3712207
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.3763815 -0.4051142 -0.3476488
silicate + phosphate_star Indo-Pacific (27.85,27.95] 0.0033832 -0.0130985 0.0198650
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.3793683 0.3775396 0.3811969
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.4451967 0.4322337 0.4581596
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.1685358 -0.1886111 -0.1484605
temp + aou Atlantic (-Inf,26] -0.0225920 -0.3379295 0.2927454
temp + aou Atlantic (26,26.5] -0.1697160 -0.2286319 -0.1108001
temp + aou Atlantic (26.5,26.75] -0.4523257 -0.5348708 -0.3697807
temp + aou Atlantic (26.75,27] -0.2658978 -0.3063505 -0.2254452
temp + aou Atlantic (27,27.25] -0.3634665 -0.4598094 -0.2671236
temp + aou Atlantic (27.25,27.5] -0.2579705 -0.3346302 -0.1813107
temp + aou Atlantic (27.5,27.75] -0.3868863 -0.4413820 -0.3323906
temp + aou Atlantic (27.75,27.85] -0.3711546 -0.3713115 -0.3709978
temp + aou Atlantic (27.85,27.95] -0.2123683 -0.3244952 -0.1002414
temp + aou Atlantic (27.95,28.05] -0.4379389 -0.5092811 -0.3665966
temp + aou Atlantic (28.05,28.1] -0.5303412 -0.5652927 -0.4953898
temp + aou Atlantic (28.1,28.15] -0.6472372 -0.6770825 -0.6173919
temp + aou Atlantic (28.15,28.2] -0.6309804 -0.7506210 -0.5113398
temp + aou Atlantic (28.2, Inf] 0.4306270 0.4223432 0.4389109
temp + aou Indo-Pacific (-Inf,26] -0.2188829 -0.2298173 -0.2079486
temp + aou Indo-Pacific (26,26.5] -0.1859226 -0.3144681 -0.0573772
temp + aou Indo-Pacific (26.5,26.75] -0.1812705 -0.3331710 -0.0293700
temp + aou Indo-Pacific (26.75,27] -0.1843374 -0.3508102 -0.0178647
temp + aou Indo-Pacific (27,27.25] -0.0248174 -0.2091461 0.1595112
temp + aou Indo-Pacific (27.25,27.5] 0.1741083 0.0134335 0.3347831
temp + aou Indo-Pacific (27.5,27.75] 0.2057516 0.0520743 0.3594288
temp + aou Indo-Pacific (27.75,27.85] 0.1387161 -0.0090377 0.2864699
temp + aou Indo-Pacific (27.85,27.95] 0.1139236 0.0358268 0.1920205
temp + aou Indo-Pacific (27.95,28.05] 0.1457728 0.1145436 0.1770021
temp + aou Indo-Pacific (28.05,28.1] 0.3058191 0.2950050 0.3166332
temp + aou Indo-Pacific (28.1, Inf] 0.8647887 0.8612699 0.8683074
temp + nitrate Atlantic (-Inf,26] -0.1047025 -0.2706561 0.0612511
temp + nitrate Atlantic (26,26.5] -0.5278219 -0.5468136 -0.5088302
temp + nitrate Atlantic (26.5,26.75] -0.6601563 -0.7002007 -0.6201119
temp + nitrate Atlantic (26.75,27] -0.5818881 -0.5961510 -0.5676253
temp + nitrate Atlantic (27,27.25] -0.7125751 -0.7461652 -0.6789851
temp + nitrate Atlantic (27.25,27.5] -0.7524811 -0.7609671 -0.7439951
temp + nitrate Atlantic (27.5,27.75] -0.7320205 -0.7526768 -0.7113643
temp + nitrate Atlantic (27.75,27.85] -0.6269138 -0.6293298 -0.6244978
temp + nitrate Atlantic (27.85,27.95] -0.4563707 -0.5607993 -0.3519422
temp + nitrate Atlantic (27.95,28.05] -0.6070201 -0.6916602 -0.5223801
temp + nitrate Atlantic (28.05,28.1] -0.6952260 -0.7109838 -0.6794681
temp + nitrate Atlantic (28.1,28.15] -0.7504637 -0.7589468 -0.7419807
temp + nitrate Atlantic (28.15,28.2] -0.7003235 -0.7469496 -0.6536974
temp + nitrate Atlantic (28.2, Inf] 0.1024228 0.0594812 0.1453645
temp + nitrate Indo-Pacific (-Inf,26] -0.4585442 -0.5536010 -0.3634875
temp + nitrate Indo-Pacific (26,26.5] -0.4785441 -0.6317583 -0.3253298
temp + nitrate Indo-Pacific (26.5,26.75] -0.4630080 -0.6229384 -0.3030775
temp + nitrate Indo-Pacific (26.75,27] -0.4624695 -0.6040593 -0.3208797
temp + nitrate Indo-Pacific (27,27.25] -0.2750248 -0.4074719 -0.1425778
temp + nitrate Indo-Pacific (27.25,27.5] -0.0737954 -0.1296108 -0.0179800
temp + nitrate Indo-Pacific (27.5,27.75] -0.0145238 -0.0574457 0.0283980
temp + nitrate Indo-Pacific (27.75,27.85] -0.0273294 -0.1018435 0.0471847
temp + nitrate Indo-Pacific (27.85,27.95] -0.0409363 -0.0856996 0.0038270
temp + nitrate Indo-Pacific (27.95,28.05] -0.0639232 -0.0674631 -0.0603832
temp + nitrate Indo-Pacific (28.05,28.1] 0.0503584 0.0446244 0.0560924
temp + nitrate Indo-Pacific (28.1, Inf] 0.3951097 0.3725631 0.4176564
temp + phosphate Atlantic (-Inf,26] -0.5499670 -0.6318743 -0.4680597
temp + phosphate Atlantic (26,26.5] -0.7578055 -0.7593469 -0.7562641
temp + phosphate Atlantic (26.5,26.75] -0.7816138 -0.8046001 -0.7586274
temp + phosphate Atlantic (26.75,27] -0.6912153 -0.7040937 -0.6783368
temp + phosphate Atlantic (27,27.25] -0.7698824 -0.7981168 -0.7416479
temp + phosphate Atlantic (27.25,27.5] -0.8042234 -0.8156083 -0.7928385
temp + phosphate Atlantic (27.5,27.75] -0.7737770 -0.7966449 -0.7509092
temp + phosphate Atlantic (27.75,27.85] -0.6662831 -0.6711042 -0.6614620
temp + phosphate Atlantic (27.85,27.95] -0.4805977 -0.5744287 -0.3867668
temp + phosphate Atlantic (27.95,28.05] -0.6208903 -0.7048099 -0.5369707
temp + phosphate Atlantic (28.05,28.1] -0.7096680 -0.7296192 -0.6897168
temp + phosphate Atlantic (28.1,28.15] -0.7667012 -0.7744226 -0.7589797
temp + phosphate Atlantic (28.15,28.2] -0.7020295 -0.7400027 -0.6640563
temp + phosphate Atlantic (28.2, Inf] 0.0943071 0.0488371 0.1397771
temp + phosphate Indo-Pacific (-Inf,26] -0.3701785 -0.4486902 -0.2916667
temp + phosphate Indo-Pacific (26,26.5] -0.4174932 -0.5647177 -0.2702686
temp + phosphate Indo-Pacific (26.5,26.75] -0.4192405 -0.5861230 -0.2523579
temp + phosphate Indo-Pacific (26.75,27] -0.4491685 -0.6102197 -0.2881172
temp + phosphate Indo-Pacific (27,27.25] -0.2398393 -0.4079694 -0.0717092
temp + phosphate Indo-Pacific (27.25,27.5] 0.0122554 -0.1051876 0.1296983
temp + phosphate Indo-Pacific (27.5,27.75] 0.1054762 -0.0066383 0.2175906
temp + phosphate Indo-Pacific (27.75,27.85] 0.0755566 -0.0542062 0.2053195
temp + phosphate Indo-Pacific (27.85,27.95] 0.0179881 -0.0575961 0.0935722
temp + phosphate Indo-Pacific (27.95,28.05] -0.0344328 -0.0526902 -0.0161754
temp + phosphate Indo-Pacific (28.05,28.1] 0.0626655 0.0452450 0.0800860
temp + phosphate Indo-Pacific (28.1, Inf] 0.3927130 0.3325714 0.4528547
temp + phosphate_star Atlantic (-Inf,26] -0.7931606 -0.8213399 -0.7649812
temp + phosphate_star Atlantic (26,26.5] -0.9511730 -0.9621318 -0.9402142
temp + phosphate_star Atlantic (26.5,26.75] -0.9764278 -0.9798679 -0.9729877
temp + phosphate_star Atlantic (26.75,27] -0.9792443 -0.9813811 -0.9771076
temp + phosphate_star Atlantic (27,27.25] -0.9800495 -0.9802221 -0.9798768
temp + phosphate_star Atlantic (27.25,27.5] -0.9787726 -0.9796509 -0.9778942
temp + phosphate_star Atlantic (27.5,27.75] -0.9344354 -0.9415877 -0.9272831
temp + phosphate_star Atlantic (27.75,27.85] -0.8958371 -0.8970619 -0.8946123
temp + phosphate_star Atlantic (27.85,27.95] -0.8147647 -0.8424218 -0.7871077
temp + phosphate_star Atlantic (27.95,28.05] -0.8086455 -0.8658320 -0.7514590
temp + phosphate_star Atlantic (28.05,28.1] -0.8474042 -0.8830190 -0.8117895
temp + phosphate_star Atlantic (28.1,28.15] -0.8627231 -0.8849642 -0.8404820
temp + phosphate_star Atlantic (28.15,28.2] -0.7707718 -0.7886750 -0.7528686
temp + phosphate_star Atlantic (28.2, Inf] -0.2106366 -0.2571813 -0.1640919
temp + phosphate_star Indo-Pacific (-Inf,26] -0.7086311 -0.7917306 -0.6255317
temp + phosphate_star Indo-Pacific (26,26.5] -0.8270547 -0.8984001 -0.7557093
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.8665611 -0.9284695 -0.8046527
temp + phosphate_star Indo-Pacific (26.75,27] -0.9324426 -0.9587615 -0.9061237
temp + phosphate_star Indo-Pacific (27,27.25] -0.9258328 -0.9279607 -0.9237049
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.8190484 -0.8968578 -0.7412391
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.6893414 -0.8169560 -0.5617269
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.6120944 -0.7007067 -0.5234821
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.6752402 -0.6953440 -0.6551365
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.7205567 -0.7397299 -0.7013835
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6478268 -0.6579899 -0.6376636
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.8951846 -0.9115410 -0.8788281
temp + silicate Atlantic (-Inf,26] -0.5918994 -0.6565545 -0.5272444
temp + silicate Atlantic (26,26.5] -0.6816552 -0.7004084 -0.6629020
temp + silicate Atlantic (26.5,26.75] -0.7215114 -0.7380963 -0.7049265
temp + silicate Atlantic (26.75,27] -0.6041867 -0.6290282 -0.5793451
temp + silicate Atlantic (27,27.25] -0.7378408 -0.7655434 -0.7101382
temp + silicate Atlantic (27.25,27.5] -0.8437551 -0.8518895 -0.8356207
temp + silicate Atlantic (27.5,27.75] -0.7819094 -0.7908424 -0.7729764
temp + silicate Atlantic (27.75,27.85] -0.6913864 -0.7003972 -0.6823757
temp + silicate Atlantic (27.85,27.95] -0.5793848 -0.6664558 -0.4923138
temp + silicate Atlantic (27.95,28.05] -0.6882740 -0.7535842 -0.6229638
temp + silicate Atlantic (28.05,28.1] -0.7197320 -0.7246222 -0.7148419
temp + silicate Atlantic (28.1,28.15] -0.7571014 -0.7666541 -0.7475486
temp + silicate Atlantic (28.15,28.2] -0.6686822 -0.7476795 -0.5896849
temp + silicate Atlantic (28.2, Inf] 0.1435693 0.1114926 0.1756460
temp + silicate Indo-Pacific (-Inf,26] -0.5156276 -0.6219597 -0.4092955
temp + silicate Indo-Pacific (26,26.5] -0.5673063 -0.7073103 -0.4273023
temp + silicate Indo-Pacific (26.5,26.75] -0.6537508 -0.7990062 -0.5084955
temp + silicate Indo-Pacific (26.75,27] -0.6350157 -0.7548917 -0.5151397
temp + silicate Indo-Pacific (27,27.25] -0.3915664 -0.5237032 -0.2594296
temp + silicate Indo-Pacific (27.25,27.5] -0.1393609 -0.2566555 -0.0220663
temp + silicate Indo-Pacific (27.5,27.75] -0.0830526 -0.1682620 0.0021567
temp + silicate Indo-Pacific (27.75,27.85] -0.0155915 -0.1305983 0.0994153
temp + silicate Indo-Pacific (27.85,27.95] -0.0505127 -0.1111280 0.0101025
temp + silicate Indo-Pacific (27.95,28.05] -0.0585151 -0.0768005 -0.0402296
temp + silicate Indo-Pacific (28.05,28.1] 0.1392741 0.1295110 0.1490372
temp + silicate Indo-Pacific (28.1, Inf] 0.3884231 0.3799496 0.3968966 
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
f155edd jens-daniel-mueller 2021-03-23
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30 
# 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] 0.5368783 0.5071501 0.5666066
aou Atlantic (26,26.5] 0.0481859 -0.0517512 0.1481230
aou Atlantic (26.5,26.75] -0.3666709 -0.4054632 -0.3278785
aou Atlantic (26.75,27] -0.3400726 -0.3795520 -0.3005932
aou Atlantic (27,27.25] -0.5634284 -0.5953463 -0.5315105
aou Atlantic (27.25,27.5] -0.5026989 -0.5140359 -0.4913619
aou Atlantic (27.5,27.75] -0.7404903 -0.7494927 -0.7314878
aou Atlantic (27.75,27.85] -0.8779899 -0.8833148 -0.8726651
aou Atlantic (27.85,27.95] -0.8967588 -0.9006708 -0.8928467
aou Atlantic (27.95,28.05] -0.8589452 -0.8660457 -0.8518447
aou Atlantic (28.05,28.1] -0.8312638 -0.8431127 -0.8194149
aou Atlantic (28.1,28.15] -0.8766492 -0.8994605 -0.8538379
aou Atlantic (28.15,28.2] -0.9353344 -0.9408326 -0.9298362
aou Atlantic (28.2, Inf] -0.7678980 -0.7788783 -0.7569176
aou Indo-Pacific (-Inf,26] -0.2305971 -0.3624479 -0.0987463
aou Indo-Pacific (26,26.5] -0.7018259 -0.7136957 -0.6899561
aou Indo-Pacific (26.5,26.75] -0.7290442 -0.7422344 -0.7158541
aou Indo-Pacific (26.75,27] -0.6495336 -0.6997434 -0.5993239
aou Indo-Pacific (27,27.25] 0.0621537 0.0218710 0.1024364
aou Indo-Pacific (27.25,27.5] 0.5620761 0.4897790 0.6343731
aou Indo-Pacific (27.5,27.75] 0.6726667 0.5868422 0.7584912
aou Indo-Pacific (27.75,27.85] 0.7201065 0.6383559 0.8018571
aou Indo-Pacific (27.85,27.95] 0.6551013 0.5701399 0.7400627
aou Indo-Pacific (27.95,28.05] 0.4050007 0.3378719 0.4721295
aou Indo-Pacific (28.05,28.1] 0.1889396 0.1720447 0.2058345
aou Indo-Pacific (28.1, Inf] 0.1942802 0.1650315 0.2235290
nitrate Atlantic (-Inf,26] 0.2986319 0.2790748 0.3181889
nitrate Atlantic (26,26.5] -0.3054040 -0.3563213 -0.2544868
nitrate Atlantic (26.5,26.75] -0.5563827 -0.5625654 -0.5501999
nitrate Atlantic (26.75,27] -0.6197984 -0.6706868 -0.5689100
nitrate Atlantic (27,27.25] -0.8353522 -0.8480713 -0.8226330
nitrate Atlantic (27.25,27.5] -0.9004746 -0.9210612 -0.8798880
nitrate Atlantic (27.5,27.75] -0.9572617 -0.9679152 -0.9466082
nitrate Atlantic (27.75,27.85] -0.9547899 -0.9576803 -0.9518994
nitrate Atlantic (27.85,27.95] -0.9163420 -0.9216960 -0.9109880
nitrate Atlantic (27.95,28.05] -0.8935875 -0.8955576 -0.8916174
nitrate Atlantic (28.05,28.1] -0.8767521 -0.8778039 -0.8757003
nitrate Atlantic (28.1,28.15] -0.9107376 -0.9224812 -0.8989940
nitrate Atlantic (28.15,28.2] -0.9655481 -0.9777356 -0.9533607
nitrate Atlantic (28.2, Inf] -0.9593782 -0.9664706 -0.9522859
nitrate Indo-Pacific (-Inf,26] -0.2641259 -0.4116876 -0.1165642
nitrate Indo-Pacific (26,26.5] -0.7895274 -0.8335227 -0.7455321
nitrate Indo-Pacific (26.5,26.75] -0.8351052 -0.8673892 -0.8028212
nitrate Indo-Pacific (26.75,27] -0.7800122 -0.8364511 -0.7235733
nitrate Indo-Pacific (27,27.25] -0.0322898 -0.0603916 -0.0041880
nitrate Indo-Pacific (27.25,27.5] 0.4846752 0.4019817 0.5673687
nitrate Indo-Pacific (27.5,27.75] 0.6264071 0.5652308 0.6875834
nitrate Indo-Pacific (27.75,27.85] 0.7035980 0.6510483 0.7561477
nitrate Indo-Pacific (27.85,27.95] 0.6216140 0.5626632 0.6805647
nitrate Indo-Pacific (27.95,28.05] 0.3255256 0.2756012 0.3754500
nitrate Indo-Pacific (28.05,28.1] 0.0781147 0.0770780 0.0791515
nitrate Indo-Pacific (28.1, Inf] -0.0092421 -0.0181654 -0.0003187
phosphate Atlantic (-Inf,26] -0.0332656 -0.0995626 0.0330314
phosphate Atlantic (26,26.5] -0.5561460 -0.6282891 -0.4840028
phosphate Atlantic (26.5,26.75] -0.6748437 -0.6813402 -0.6683471
phosphate Atlantic (26.75,27] -0.7273545 -0.7672182 -0.6874908
phosphate Atlantic (27,27.25] -0.8893359 -0.8984404 -0.8802314
phosphate Atlantic (27.25,27.5] -0.9361673 -0.9512483 -0.9210863
phosphate Atlantic (27.5,27.75] -0.9762938 -0.9822732 -0.9703144
phosphate Atlantic (27.75,27.85] -0.9707752 -0.9719225 -0.9696279
phosphate Atlantic (27.85,27.95] -0.9377694 -0.9403483 -0.9351905
phosphate Atlantic (27.95,28.05] -0.9148097 -0.9177155 -0.9119040
phosphate Atlantic (28.05,28.1] -0.8959695 -0.9021456 -0.8897935
phosphate Atlantic (28.1,28.15] -0.9201334 -0.9363203 -0.9039465
phosphate Atlantic (28.15,28.2] -0.9720987 -0.9815277 -0.9626696
phosphate Atlantic (28.2, Inf] -0.9686847 -0.9732465 -0.9641228
phosphate Indo-Pacific (-Inf,26] -0.2592710 -0.4110617 -0.1074804
phosphate Indo-Pacific (26,26.5] -0.8148962 -0.8458617 -0.7839306
phosphate Indo-Pacific (26.5,26.75] -0.8597434 -0.8862305 -0.8332563
phosphate Indo-Pacific (26.75,27] -0.7931734 -0.8479502 -0.7383965
phosphate Indo-Pacific (27,27.25] -0.0464894 -0.0782340 -0.0147447
phosphate Indo-Pacific (27.25,27.5] 0.4746088 0.3878761 0.5613415
phosphate Indo-Pacific (27.5,27.75] 0.5833181 0.4928836 0.6737526
phosphate Indo-Pacific (27.75,27.85] 0.6339701 0.5409785 0.7269617
phosphate Indo-Pacific (27.85,27.95] 0.5482478 0.4490310 0.6474646
phosphate Indo-Pacific (27.95,28.05] 0.2435784 0.1627348 0.3244221
phosphate Indo-Pacific (28.05,28.1] -0.0165348 -0.0316340 -0.0014356
phosphate Indo-Pacific (28.1, Inf] -0.1712203 -0.2111832 -0.1312575
phosphate_star Atlantic (-Inf,26] -0.3681623 -0.5108652 -0.2254595
phosphate_star Atlantic (26,26.5] -0.7869710 -0.8414652 -0.7324767
phosphate_star Atlantic (26.5,26.75] -0.8445758 -0.8719635 -0.8171882
phosphate_star Atlantic (26.75,27] -0.9291438 -0.9299283 -0.9283592
phosphate_star Atlantic (27,27.25] -0.9529423 -0.9613277 -0.9445569
phosphate_star Atlantic (27.25,27.5] -0.9584834 -0.9690394 -0.9479275
phosphate_star Atlantic (27.5,27.75] -0.9421384 -0.9533236 -0.9309532
phosphate_star Atlantic (27.75,27.85] -0.8884549 -0.8980318 -0.8788780
phosphate_star Atlantic (27.85,27.95] -0.7805303 -0.8020841 -0.7589765
phosphate_star Atlantic (27.95,28.05] -0.8324701 -0.8518856 -0.8130547
phosphate_star Atlantic (28.05,28.1] -0.8658933 -0.8839301 -0.8478565
phosphate_star Atlantic (28.1,28.15] -0.9027496 -0.9256677 -0.8798316
phosphate_star Atlantic (28.15,28.2] -0.9668780 -0.9696599 -0.9640961
phosphate_star Atlantic (28.2, Inf] -0.9565025 -0.9626724 -0.9503326
phosphate_star Indo-Pacific (-Inf,26] -0.1377387 -0.3140961 0.0386187
phosphate_star Indo-Pacific (26,26.5] -0.8036170 -0.8491102 -0.7581239
phosphate_star Indo-Pacific (26.5,26.75] -0.8525174 -0.8857604 -0.8192744
phosphate_star Indo-Pacific (26.75,27] -0.7527745 -0.8158826 -0.6896665
phosphate_star Indo-Pacific (27,27.25] -0.2770128 -0.3259710 -0.2280546
phosphate_star Indo-Pacific (27.25,27.5] -0.3206264 -0.3508899 -0.2903630
phosphate_star Indo-Pacific (27.5,27.75] -0.4346958 -0.5667736 -0.3026180
phosphate_star Indo-Pacific (27.75,27.85] -0.4515378 -0.5562072 -0.3468684
phosphate_star Indo-Pacific (27.85,27.95] -0.3300647 -0.3658573 -0.2942721
phosphate_star Indo-Pacific (27.95,28.05] -0.3192190 -0.3230283 -0.3154098
phosphate_star Indo-Pacific (28.05,28.1] -0.4299841 -0.4644778 -0.3954904
phosphate_star Indo-Pacific (28.1, Inf] -0.4326916 -0.4734182 -0.3919651
sal Atlantic (-Inf,26] 0.2179379 0.0896764 0.3461994
sal Atlantic (26,26.5] 0.7364403 0.6512598 0.8216208
sal Atlantic (26.5,26.75] 0.8045716 0.7487260 0.8604173
sal Atlantic (26.75,27] 0.8956515 0.8909781 0.9003248
sal Atlantic (27,27.25] 0.9281116 0.9208704 0.9353527
sal Atlantic (27.25,27.5] 0.9282602 0.9195130 0.9370073
sal Atlantic (27.5,27.75] 0.8310267 0.8066031 0.8554504
sal Atlantic (27.75,27.85] 0.6534438 0.6379046 0.6689831
sal Atlantic (27.85,27.95] 0.3851651 0.3337937 0.4365366
sal Atlantic (27.95,28.05] 0.4726702 0.3359381 0.6094023
sal Atlantic (28.05,28.1] 0.6570638 0.6464876 0.6676400
sal Atlantic (28.1,28.15] 0.7706730 0.7563561 0.7849899
sal Atlantic (28.15,28.2] 0.8829560 0.8660088 0.8999031
sal Atlantic (28.2, Inf] 0.9336750 0.9297268 0.9376231
sal Indo-Pacific (-Inf,26] 0.0483959 0.0437029 0.0530889
sal Indo-Pacific (26,26.5] 0.4879102 0.3366275 0.6391929
sal Indo-Pacific (26.5,26.75] 0.5847804 0.4396224 0.7299385
sal Indo-Pacific (26.75,27] 0.5034690 0.3590464 0.6478916
sal Indo-Pacific (27,27.25] -0.1078885 -0.1133487 -0.1024284
sal Indo-Pacific (27.25,27.5] -0.2084962 -0.3291546 -0.0878378
sal Indo-Pacific (27.5,27.75] -0.2047937 -0.2348293 -0.1747582
sal Indo-Pacific (27.75,27.85] -0.3159604 -0.3359338 -0.2959871
sal Indo-Pacific (27.85,27.95] -0.2793965 -0.3087917 -0.2500013
sal Indo-Pacific (27.95,28.05] -0.0616359 -0.1077412 -0.0155306
sal Indo-Pacific (28.05,28.1] 0.1136958 0.0858985 0.1414930
sal Indo-Pacific (28.1, Inf] 0.2533094 0.2388953 0.2677234
silicate Atlantic (-Inf,26] -0.0547717 -0.0722457 -0.0372976
silicate Atlantic (26,26.5] -0.5012436 -0.5622787 -0.4402085
silicate Atlantic (26.5,26.75] -0.6000879 -0.6257539 -0.5744219
silicate Atlantic (26.75,27] -0.6323505 -0.6691849 -0.5955161
silicate Atlantic (27,27.25] -0.8425402 -0.8521993 -0.8328811
silicate Atlantic (27.25,27.5] -0.8970890 -0.9146304 -0.8795476
silicate Atlantic (27.5,27.75] -0.8849729 -0.8877410 -0.8822048
silicate Atlantic (27.75,27.85] -0.8896484 -0.8962369 -0.8830598
silicate Atlantic (27.85,27.95] -0.8621020 -0.8718157 -0.8523882
silicate Atlantic (27.95,28.05] -0.8555499 -0.8617478 -0.8493521
silicate Atlantic (28.05,28.1] -0.8549913 -0.8570155 -0.8529672
silicate Atlantic (28.1,28.15] -0.8999335 -0.9164914 -0.8833756
silicate Atlantic (28.15,28.2] -0.9564311 -0.9619218 -0.9509405
silicate Atlantic (28.2, Inf] -0.9340583 -0.9392370 -0.9288795
silicate Indo-Pacific (-Inf,26] -0.2738927 -0.4176897 -0.1300956
silicate Indo-Pacific (26,26.5] -0.7362341 -0.7392599 -0.7332083
silicate Indo-Pacific (26.5,26.75] -0.7621096 -0.7686611 -0.7555581
silicate Indo-Pacific (26.75,27] -0.6408114 -0.6767562 -0.6048666
silicate Indo-Pacific (27,27.25] 0.2212798 0.2003882 0.2421714
silicate Indo-Pacific (27.25,27.5] 0.7413616 0.6941694 0.7885538
silicate Indo-Pacific (27.5,27.75] 0.8119731 0.7685703 0.8553759
silicate Indo-Pacific (27.75,27.85] 0.7620965 0.6993067 0.8248864
silicate Indo-Pacific (27.85,27.95] 0.6455829 0.5654464 0.7257194
silicate Indo-Pacific (27.95,28.05] 0.3626999 0.2963906 0.4290093
silicate Indo-Pacific (28.05,28.1] 0.1192568 0.1162699 0.1222436
silicate Indo-Pacific (28.1, Inf] -0.0751786 -0.0905075 -0.0598496
temp Atlantic (-Inf,26] 0.0063817 -0.2048895 0.2176529
temp Atlantic (26,26.5] 0.7101589 0.6435405 0.7767774
temp Atlantic (26.5,26.75] 0.7772656 0.7212785 0.8332528
temp Atlantic (26.75,27] 0.8675803 0.8623234 0.8728371
temp Atlantic (27,27.25] 0.8965851 0.8895811 0.9035890
temp Atlantic (27.25,27.5] 0.9094383 0.8979572 0.9209195
temp Atlantic (27.5,27.75] 0.8064368 0.7759696 0.8369039
temp Atlantic (27.75,27.85] 0.6573182 0.6410326 0.6736038
temp Atlantic (27.85,27.95] 0.3777604 0.2974109 0.4581098
temp Atlantic (27.95,28.05] 0.4813456 0.3842311 0.5784600
temp Atlantic (28.05,28.1] 0.5498927 0.5177980 0.5819873
temp Atlantic (28.1,28.15] 0.6232379 0.6218375 0.6246384
temp Atlantic (28.15,28.2] 0.6174384 0.5901053 0.6447715
temp Atlantic (28.2, Inf] -0.0076747 -0.0828540 0.0675046
temp Indo-Pacific (-Inf,26] -0.2702084 -0.3611881 -0.1792287
temp Indo-Pacific (26,26.5] 0.4783585 0.3284219 0.6282951
temp Indo-Pacific (26.5,26.75] 0.5696462 0.4275602 0.7117323
temp Indo-Pacific (26.75,27] 0.5497441 0.4300007 0.6694875
temp Indo-Pacific (27,27.25] 0.0001779 -0.0294621 0.0298179
temp Indo-Pacific (27.25,27.5] -0.1947516 -0.3057598 -0.0837434
temp Indo-Pacific (27.5,27.75] -0.2502167 -0.2859577 -0.2144756
temp Indo-Pacific (27.75,27.85] -0.2491416 -0.2536240 -0.2446592
temp Indo-Pacific (27.85,27.95] -0.1887239 -0.2313476 -0.1461003
temp Indo-Pacific (27.95,28.05] 0.0146388 -0.0172287 0.0465063
temp Indo-Pacific (28.05,28.1] 0.1647364 0.1586287 0.1708441
temp Indo-Pacific (28.1, Inf] 0.2234075 0.1702017 0.2766132 
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_0.7.2      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_3.3.2    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_1.4-1         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_2.1.0               
[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_1.5             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