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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
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
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
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] 0.8168952 0.8124940 0.8253875
aou + nitrate Atlantic (26,26.5] 0.9460865 0.9343029 0.9535066
aou + nitrate Atlantic (26.5,26.75] 0.9638799 0.9581101 0.9699026
aou + nitrate Atlantic (26.75,27] 0.9536914 0.9470966 0.9579831
aou + nitrate Atlantic (27,27.25] 0.8704691 0.8595183 0.8836463
aou + nitrate Atlantic (27.25,27.5] 0.6696546 0.6542062 0.6877836
aou + nitrate Atlantic (27.5,27.75] 0.3280551 0.3183239 0.3337621
aou + nitrate Atlantic (27.75,27.85] 0.0506509 0.0322926 0.0729798
aou + nitrate Atlantic (27.85,27.95] 0.0195259 -0.0170825 0.0592567
aou + nitrate Atlantic (27.95,28.05] 0.0611168 0.0243431 0.0964586
aou + nitrate Atlantic (28.05,28.1] 0.4833891 0.4273530 0.5471433
aou + nitrate Atlantic (28.1,28.15] 0.8373626 0.8140925 0.8578440
aou + nitrate Atlantic (28.15,28.2] 0.9229742 0.9144140 0.9307013
aou + nitrate Atlantic (28.2, Inf] 0.8770807 0.8702588 0.8838716
aou + nitrate Indo-Pacific (-Inf,26] 0.9315947 0.9308380 0.9320281
aou + nitrate Indo-Pacific (26,26.5] 0.8912790 0.8900548 0.8927062
aou + nitrate Indo-Pacific (26.5,26.75] 0.8397816 0.8363035 0.8430092
aou + nitrate Indo-Pacific (26.75,27] 0.8804506 0.8769176 0.8855137
aou + nitrate Indo-Pacific (27,27.25] 0.9301513 0.9270497 0.9328973
aou + nitrate Indo-Pacific (27.25,27.5] 0.9494216 0.9485982 0.9501043
aou + nitrate Indo-Pacific (27.5,27.75] 0.9669792 0.9662226 0.9680197
aou + nitrate Indo-Pacific (27.75,27.85] 0.9856739 0.9852030 0.9863328
aou + nitrate Indo-Pacific (27.85,27.95] 0.9857636 0.9852645 0.9866119
aou + nitrate Indo-Pacific (27.95,28.05] 0.9842228 0.9839571 0.9843873
aou + nitrate Indo-Pacific (28.05,28.1] 0.9880542 0.9877930 0.9883941
aou + nitrate Indo-Pacific (28.1, Inf] 0.9891921 0.9886841 0.9894492
aou + phosphate Atlantic (-Inf,26] 0.8471227 0.8386054 0.8576544
aou + phosphate Atlantic (26,26.5] 0.8982635 0.8786513 0.9121653
aou + phosphate Atlantic (26.5,26.75] 0.9357417 0.9242079 0.9456823
aou + phosphate Atlantic (26.75,27] 0.9202995 0.9107881 0.9254915
aou + phosphate Atlantic (27,27.25] 0.7984575 0.7827808 0.8137200
aou + phosphate Atlantic (27.25,27.5] 0.5700858 0.5493592 0.5909919
aou + phosphate Atlantic (27.5,27.75] 0.2332777 0.2208587 0.2399891
aou + phosphate Atlantic (27.75,27.85] -0.0312912 -0.0481806 -0.0075767
aou + phosphate Atlantic (27.85,27.95] -0.0277386 -0.0665641 0.0145043
aou + phosphate Atlantic (27.95,28.05] 0.0365278 -0.0003553 0.0721056
aou + phosphate Atlantic (28.05,28.1] 0.4753102 0.4198659 0.5392024
aou + phosphate Atlantic (28.1,28.15] 0.8367515 0.8136552 0.8569727
aou + phosphate Atlantic (28.15,28.2] 0.9288133 0.9205191 0.9366171
aou + phosphate Atlantic (28.2, Inf] 0.8845363 0.8834007 0.8858820
aou + phosphate Indo-Pacific (-Inf,26] 0.9136381 0.9108432 0.9153760
aou + phosphate Indo-Pacific (26,26.5] 0.9400856 0.9378452 0.9420774
aou + phosphate Indo-Pacific (26.5,26.75] 0.9387796 0.9344678 0.9413628
aou + phosphate Indo-Pacific (26.75,27] 0.9600193 0.9584381 0.9609801
aou + phosphate Indo-Pacific (27,27.25] 0.9708306 0.9703328 0.9712850
aou + phosphate Indo-Pacific (27.25,27.5] 0.9721353 0.9716330 0.9728302
aou + phosphate Indo-Pacific (27.5,27.75] 0.9774708 0.9771456 0.9781126
aou + phosphate Indo-Pacific (27.75,27.85] 0.9864673 0.9859909 0.9870596
aou + phosphate Indo-Pacific (27.85,27.95] 0.9869701 0.9867368 0.9872117
aou + phosphate Indo-Pacific (27.95,28.05] 0.9840566 0.9835393 0.9843857
aou + phosphate Indo-Pacific (28.05,28.1] 0.9899358 0.9895381 0.9901765
aou + phosphate Indo-Pacific (28.1, Inf] 0.9892630 0.9882269 0.9900518
aou + phosphate_star Atlantic (-Inf,26] 0.0624273 0.0549721 0.0674446
aou + phosphate_star Atlantic (26,26.5] -0.0442890 -0.0484563 -0.0370127
aou + phosphate_star Atlantic (26.5,26.75] -0.1843253 -0.2181114 -0.1649538
aou + phosphate_star Atlantic (26.75,27] -0.3548638 -0.3638460 -0.3467183
aou + phosphate_star Atlantic (27,27.25] -0.4021731 -0.4226624 -0.3864318
aou + phosphate_star Atlantic (27.25,27.5] -0.4782194 -0.4905967 -0.4688972
aou + phosphate_star Atlantic (27.5,27.75] -0.5606737 -0.5732639 -0.5536354
aou + phosphate_star Atlantic (27.75,27.85] -0.6617303 -0.6837228 -0.6393301
aou + phosphate_star Atlantic (27.85,27.95] -0.5221535 -0.5603142 -0.4839143
aou + phosphate_star Atlantic (27.95,28.05] -0.3972656 -0.4264142 -0.3623716
aou + phosphate_star Atlantic (28.05,28.1] 0.1469583 0.0731428 0.2280917
aou + phosphate_star Atlantic (28.1,28.15] 0.6718686 0.6329504 0.7028218
aou + phosphate_star Atlantic (28.15,28.2] 0.8289053 0.8148361 0.8421747
aou + phosphate_star Atlantic (28.2, Inf] 0.7314839 0.7245233 0.7439888
aou + phosphate_star Indo-Pacific (-Inf,26] 0.3400239 0.3259878 0.3525181
aou + phosphate_star Indo-Pacific (26,26.5] 0.0947099 0.0855801 0.1107153
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.0921797 0.0570620 0.1190412
aou + phosphate_star Indo-Pacific (26.75,27] 0.4171935 0.3853770 0.4392527
aou + phosphate_star Indo-Pacific (27,27.25] 0.4287785 0.4067967 0.4452089
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.0868642 -0.1440568 -0.0476203
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.5391533 -0.5754234 -0.5070909
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.7107011 -0.7188702 -0.7024822
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.6446653 -0.6583892 -0.6369045
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.5521369 -0.5796851 -0.5297211
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.4051229 -0.4703552 -0.3551283
aou + phosphate_star Indo-Pacific (28.1, Inf] 0.0431961 0.0165940 0.0576876
aou + silicate Atlantic (-Inf,26] 0.0580141 0.0529395 0.0681302
aou + silicate Atlantic (26,26.5] 0.3577994 0.3454335 0.3643730
aou + silicate Atlantic (26.5,26.75] 0.6067054 0.5603653 0.6777154
aou + silicate Atlantic (26.75,27] 0.6373088 0.6027394 0.6593892
aou + silicate Atlantic (27,27.25] 0.4177628 0.3409621 0.4665566
aou + silicate Atlantic (27.25,27.5] 0.2081274 0.1868443 0.2253280
aou + silicate Atlantic (27.5,27.75] -0.0977578 -0.1102333 -0.0837753
aou + silicate Atlantic (27.75,27.85] -0.3681419 -0.3832370 -0.3472048
aou + silicate Atlantic (27.85,27.95] -0.2116850 -0.2678268 -0.1485538
aou + silicate Atlantic (27.95,28.05] 0.0201493 -0.0124331 0.0537598
aou + silicate Atlantic (28.05,28.1] 0.5202446 0.4770111 0.5744561
aou + silicate Atlantic (28.1,28.15] 0.8783083 0.8617460 0.8926386
aou + silicate Atlantic (28.15,28.2] 0.9466715 0.9418001 0.9509036
aou + silicate Atlantic (28.2, Inf] 0.6734468 0.6526341 0.6989391
aou + silicate Indo-Pacific (-Inf,26] 0.7932355 0.7866643 0.7965685
aou + silicate Indo-Pacific (26,26.5] 0.7803817 0.7795347 0.7817023
aou + silicate Indo-Pacific (26.5,26.75] 0.7808627 0.7727200 0.7892990
aou + silicate Indo-Pacific (26.75,27] 0.8737429 0.8730104 0.8747711
aou + silicate Indo-Pacific (27,27.25] 0.9305014 0.9293540 0.9312623
aou + silicate Indo-Pacific (27.25,27.5] 0.9368503 0.9364442 0.9375694
aou + silicate Indo-Pacific (27.5,27.75] 0.9553633 0.9545263 0.9562801
aou + silicate Indo-Pacific (27.75,27.85] 0.9750182 0.9735193 0.9767229
aou + silicate Indo-Pacific (27.85,27.95] 0.9759280 0.9756171 0.9761748
aou + silicate Indo-Pacific (27.95,28.05] 0.9805620 0.9799454 0.9808975
aou + silicate Indo-Pacific (28.05,28.1] 0.9886158 0.9875815 0.9892154
aou + silicate Indo-Pacific (28.1, Inf] 0.8363689 0.8338063 0.8383051
nitrate + phosphate Atlantic (-Inf,26] 0.7289043 0.7071843 0.7455192
nitrate + phosphate Atlantic (26,26.5] 0.9228325 0.9217346 0.9240933
nitrate + phosphate Atlantic (26.5,26.75] 0.9706989 0.9705490 0.9708669
nitrate + phosphate Atlantic (26.75,27] 0.9780500 0.9770308 0.9791409
nitrate + phosphate Atlantic (27,27.25] 0.9811662 0.9808048 0.9815721
nitrate + phosphate Atlantic (27.25,27.5] 0.9853535 0.9846402 0.9858002
nitrate + phosphate Atlantic (27.5,27.75] 0.9927681 0.9925239 0.9929152
nitrate + phosphate Atlantic (27.75,27.85] 0.9957408 0.9954877 0.9958996
nitrate + phosphate Atlantic (27.85,27.95] 0.9982751 0.9981595 0.9984042
nitrate + phosphate Atlantic (27.95,28.05] 0.9993324 0.9993087 0.9993545
nitrate + phosphate Atlantic (28.05,28.1] 0.9997858 0.9997743 0.9997986
nitrate + phosphate Atlantic (28.1,28.15] 0.9998491 0.9998415 0.9998560
nitrate + phosphate Atlantic (28.15,28.2] 0.9983882 0.9983039 0.9984844
nitrate + phosphate Atlantic (28.2, Inf] 0.9866101 0.9856099 0.9877020
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9497629 0.9493534 0.9502576
nitrate + phosphate Indo-Pacific (26,26.5] 0.9068995 0.9055510 0.9076919
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.8774754 0.8737056 0.8839358
nitrate + phosphate Indo-Pacific (26.75,27] 0.9135831 0.9108433 0.9172916
nitrate + phosphate Indo-Pacific (27,27.25] 0.9553538 0.9523855 0.9579294
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9681758 0.9678268 0.9684677
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9854364 0.9853190 0.9856196
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9960788 0.9958368 0.9962597
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9976765 0.9974428 0.9980239
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9990126 0.9989536 0.9990803
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9986150 0.9984588 0.9986949
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9951368 0.9950077 0.9952227
nitrate + phosphate_star Atlantic (-Inf,26] 0.1388994 0.0871073 0.1693636
nitrate + phosphate_star Atlantic (26,26.5] 0.0844411 0.0585787 0.1305299
nitrate + phosphate_star Atlantic (26.5,26.75] -0.0266827 -0.0440097 -0.0082913
nitrate + phosphate_star Atlantic (26.75,27] -0.1266202 -0.1380329 -0.1132408
nitrate + phosphate_star Atlantic (27,27.25] 0.0566073 0.0361224 0.0761816
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3010658 0.2786164 0.3154285
nitrate + phosphate_star Atlantic (27.5,27.75] 0.5838636 0.5794339 0.5862862
nitrate + phosphate_star Atlantic (27.75,27.85] 0.7120517 0.6942420 0.7246383
nitrate + phosphate_star Atlantic (27.85,27.95] 0.8390002 0.8343934 0.8416819
nitrate + phosphate_star Atlantic (27.95,28.05] 0.8898288 0.8863992 0.8920678
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9355037 0.9318218 0.9384125
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9665714 0.9640628 0.9680389
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9785881 0.9780231 0.9791768
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9587032 0.9572841 0.9595635
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.5322506 0.5221549 0.5432516
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.3024496 0.2970149 0.3121829
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.3501532 0.3308080 0.3742544
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.6078216 0.5853224 0.6263639
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.6154739 0.5974236 0.6285224
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.1235102 0.0699719 0.1612213
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.3573327 -0.4015363 -0.3194773
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.6023328 -0.6095420 -0.5958699
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.5204486 -0.5350176 -0.5120809
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.4010897 -0.4298289 -0.3769418
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.2654532 -0.3323095 -0.2127967
nitrate + phosphate_star Indo-Pacific (28.1, Inf] 0.1672575 0.1388275 0.1852209
nitrate + silicate Atlantic (-Inf,26] 0.4992636 0.4983550 0.5004002
nitrate + silicate Atlantic (26,26.5] 0.5238472 0.5063621 0.5428715
nitrate + silicate Atlantic (26.5,26.75] 0.7026042 0.6829748 0.7373794
nitrate + silicate Atlantic (26.75,27] 0.7717936 0.7547658 0.7821346
nitrate + silicate Atlantic (27,27.25] 0.7476379 0.7153834 0.7677040
nitrate + silicate Atlantic (27.25,27.5] 0.7959855 0.7903411 0.8049164
nitrate + silicate Atlantic (27.5,27.75] 0.8555470 0.8525174 0.8587229
nitrate + silicate Atlantic (27.75,27.85] 0.8549170 0.8500045 0.8576843
nitrate + silicate Atlantic (27.85,27.95] 0.9283645 0.9213939 0.9362325
nitrate + silicate Atlantic (27.95,28.05] 0.9722931 0.9715968 0.9731756
nitrate + silicate Atlantic (28.05,28.1] 0.9836550 0.9827262 0.9844977
nitrate + silicate Atlantic (28.1,28.15] 0.9860056 0.9855119 0.9864498
nitrate + silicate Atlantic (28.15,28.2] 0.9262125 0.9246027 0.9286829
nitrate + silicate Atlantic (28.2, Inf] 0.6475740 0.6443481 0.6502341
nitrate + silicate Indo-Pacific (-Inf,26] 0.7655449 0.7584799 0.7696209
nitrate + silicate Indo-Pacific (26,26.5] 0.8174418 0.8137569 0.8246859
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8559573 0.8524916 0.8597865
nitrate + silicate Indo-Pacific (26.75,27] 0.9010163 0.8986974 0.9040435
nitrate + silicate Indo-Pacific (27,27.25] 0.9493308 0.9475240 0.9510214
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9649187 0.9637675 0.9656891
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9805441 0.9799116 0.9809856
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9906922 0.9899374 0.9913665
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9913468 0.9912025 0.9915425
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9922862 0.9921378 0.9925595
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9915596 0.9911964 0.9918098
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8433853 0.8430264 0.8436477
phosphate + phosphate_star Atlantic (-Inf,26] 0.4668457 0.4362088 0.4891269
phosphate + phosphate_star Atlantic (26,26.5] 0.3442674 0.3204772 0.3869423
phosphate + phosphate_star Atlantic (26.5,26.75] 0.1473614 0.1340992 0.1615226
phosphate + phosphate_star Atlantic (26.75,27] 0.0192094 0.0067769 0.0346942
phosphate + phosphate_star Atlantic (27,27.25] 0.2118240 0.1926947 0.2281986
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4341696 0.4126786 0.4450407
phosphate + phosphate_star Atlantic (27.5,27.75] 0.6661253 0.6639662 0.6672556
phosphate + phosphate_star Atlantic (27.75,27.85] 0.7681697 0.7536907 0.7786919
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8648975 0.8617918 0.8667291
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9013109 0.8980717 0.9035305
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9389847 0.9349944 0.9419796
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9670449 0.9644274 0.9684368
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9765000 0.9757871 0.9771408
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9609148 0.9585296 0.9643142
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.6309073 0.6240211 0.6378519
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.4199990 0.4109619 0.4299691
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.4207489 0.4003135 0.4380034
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6437499 0.6212621 0.6612366
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.6282566 0.6110847 0.6419757
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.1458119 0.0904287 0.1859837
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.3522611 -0.3954563 -0.3152220
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.5886610 -0.5956864 -0.5820595
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.5167611 -0.5319897 -0.5088715
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.3989613 -0.4265408 -0.3759871
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.2751719 -0.3413173 -0.2237743
phosphate + phosphate_star Indo-Pacific (28.1, Inf] 0.1835974 0.1518542 0.2049764
sal + aou Atlantic (-Inf,26] 0.0685646 0.0564658 0.0769823
sal + aou Atlantic (26,26.5] 0.1786078 0.1717483 0.1836592
sal + aou Atlantic (26.5,26.75] 0.4798395 0.4651749 0.4934801
sal + aou Atlantic (26.75,27] 0.5619745 0.5552994 0.5724438
sal + aou Atlantic (27,27.25] 0.6317024 0.6165166 0.6473154
sal + aou Atlantic (27.25,27.5] 0.6888976 0.6749101 0.6962435
sal + aou Atlantic (27.5,27.75] 0.7812797 0.7778862 0.7877471
sal + aou Atlantic (27.75,27.85] 0.8039949 0.7755520 0.8266583
sal + aou Atlantic (27.85,27.95] 0.5838476 0.5453064 0.6317546
sal + aou Atlantic (27.95,28.05] 0.3582221 0.3251393 0.3867553
sal + aou Atlantic (28.05,28.1] -0.1624043 -0.2345414 -0.0938964
sal + aou Atlantic (28.1,28.15] -0.6713629 -0.6998516 -0.6355779
sal + aou Atlantic (28.15,28.2] -0.7965897 -0.8039091 -0.7836805
sal + aou Atlantic (28.2, Inf] -0.5405990 -0.5637477 -0.5150389
sal + aou Indo-Pacific (-Inf,26] 0.0040774 -0.0035362 0.0095219
sal + aou Indo-Pacific (26,26.5] 0.0703105 0.0546405 0.0789771
sal + aou Indo-Pacific (26.5,26.75] 0.0271011 0.0058588 0.0512832
sal + aou Indo-Pacific (26.75,27] -0.3415221 -0.3621838 -0.3143354
sal + aou Indo-Pacific (27,27.25] -0.4487899 -0.4684991 -0.4268703
sal + aou Indo-Pacific (27.25,27.5] 0.0795810 0.0370201 0.1330595
sal + aou Indo-Pacific (27.5,27.75] 0.6534129 0.6239729 0.6921918
sal + aou Indo-Pacific (27.75,27.85] 0.8424403 0.8396355 0.8462351
sal + aou Indo-Pacific (27.85,27.95] 0.8550255 0.8522743 0.8567139
sal + aou Indo-Pacific (27.95,28.05] 0.8729531 0.8643852 0.8821587
sal + aou Indo-Pacific (28.05,28.1] 0.8822746 0.8698441 0.8918014
sal + aou Indo-Pacific (28.1, Inf] 0.4363003 0.4208270 0.4502529
sal + nitrate Atlantic (-Inf,26] 0.0667778 0.0388153 0.0921606
sal + nitrate Atlantic (26,26.5] 0.1301895 0.1130473 0.1496074
sal + nitrate Atlantic (26.5,26.75] 0.4386714 0.4243064 0.4547922
sal + nitrate Atlantic (26.75,27] 0.4819591 0.4750128 0.4888436
sal + nitrate Atlantic (27,27.25] 0.4073905 0.3865795 0.4209712
sal + nitrate Atlantic (27.25,27.5] 0.2308789 0.1945278 0.2908613
sal + nitrate Atlantic (27.5,27.75] 0.1055158 0.0723368 0.1394544
sal + nitrate Atlantic (27.75,27.85] -0.4439489 -0.4682523 -0.4156105
sal + nitrate Atlantic (27.85,27.95] -0.6681627 -0.6848796 -0.6562373
sal + nitrate Atlantic (27.95,28.05] -0.8477151 -0.8537684 -0.8385061
sal + nitrate Atlantic (28.05,28.1] -0.9158270 -0.9183668 -0.9144707
sal + nitrate Atlantic (28.1,28.15] -0.9553978 -0.9576818 -0.9540523
sal + nitrate Atlantic (28.15,28.2] -0.9580031 -0.9600778 -0.9553757
sal + nitrate Atlantic (28.2, Inf] -0.7910473 -0.7984536 -0.7832206
sal + nitrate Indo-Pacific (-Inf,26] -0.0205544 -0.0280037 -0.0140668
sal + nitrate Indo-Pacific (26,26.5] -0.1655794 -0.1762926 -0.1581978
sal + nitrate Indo-Pacific (26.5,26.75] -0.2620940 -0.2832691 -0.2466690
sal + nitrate Indo-Pacific (26.75,27] -0.5444582 -0.5676054 -0.5257711
sal + nitrate Indo-Pacific (27,27.25] -0.6423840 -0.6539807 -0.6278777
sal + nitrate Indo-Pacific (27.25,27.5] -0.1237449 -0.1662225 -0.0704225
sal + nitrate Indo-Pacific (27.5,27.75] 0.5140292 0.4799944 0.5598465
sal + nitrate Indo-Pacific (27.75,27.85] 0.7847367 0.7773923 0.7915665
sal + nitrate Indo-Pacific (27.85,27.95] 0.8042993 0.8023326 0.8055747
sal + nitrate Indo-Pacific (27.95,28.05] 0.8123051 0.8008077 0.8237010
sal + nitrate Indo-Pacific (28.05,28.1] 0.8205647 0.8032527 0.8344112
sal + nitrate Indo-Pacific (28.1, Inf] 0.3807919 0.3660197 0.3933452
sal + phosphate Atlantic (-Inf,26] -0.1418943 -0.1602686 -0.1290466
sal + phosphate Atlantic (26,26.5] -0.0577898 -0.0865020 -0.0379094
sal + phosphate Atlantic (26.5,26.75] 0.2864209 0.2758694 0.3014151
sal + phosphate Atlantic (26.75,27] 0.3568622 0.3444189 0.3680261
sal + phosphate Atlantic (27,27.25] 0.2532033 0.2310745 0.2677604
sal + phosphate Atlantic (27.25,27.5] 0.0793081 0.0440470 0.1425655
sal + phosphate Atlantic (27.5,27.75] -0.0048466 -0.0374086 0.0273601
sal + phosphate Atlantic (27.75,27.85] -0.5182091 -0.5405934 -0.4931216
sal + phosphate Atlantic (27.85,27.95] -0.7040036 -0.7194048 -0.6948782
sal + phosphate Atlantic (27.95,28.05] -0.8605832 -0.8661458 -0.8515262
sal + phosphate Atlantic (28.05,28.1] -0.9205310 -0.9231610 -0.9187195
sal + phosphate Atlantic (28.1,28.15] -0.9557962 -0.9583677 -0.9543802
sal + phosphate Atlantic (28.15,28.2] -0.9460025 -0.9487662 -0.9428381
sal + phosphate Atlantic (28.2, Inf] -0.6991414 -0.7060614 -0.6950667
sal + phosphate Indo-Pacific (-Inf,26] -0.0922895 -0.0973421 -0.0875165
sal + phosphate Indo-Pacific (26,26.5] -0.2156122 -0.2294871 -0.2071846
sal + phosphate Indo-Pacific (26.5,26.75] -0.2572594 -0.2679385 -0.2472167
sal + phosphate Indo-Pacific (26.75,27] -0.5120589 -0.5351142 -0.4899626
sal + phosphate Indo-Pacific (27,27.25] -0.6065116 -0.6215439 -0.5897834
sal + phosphate Indo-Pacific (27.25,27.5] -0.1168071 -0.1628465 -0.0607310
sal + phosphate Indo-Pacific (27.5,27.75] 0.5086822 0.4734185 0.5550548
sal + phosphate Indo-Pacific (27.75,27.85] 0.7741943 0.7690970 0.7798517
sal + phosphate Indo-Pacific (27.85,27.95] 0.8049412 0.8022852 0.8066072
sal + phosphate Indo-Pacific (27.95,28.05] 0.8206721 0.8104517 0.8310531
sal + phosphate Indo-Pacific (28.05,28.1] 0.8381393 0.8227728 0.8512550
sal + phosphate Indo-Pacific (28.1, Inf] 0.4458058 0.4314369 0.4581853
sal + phosphate_star Atlantic (-Inf,26] -0.6089669 -0.6342372 -0.5944009
sal + phosphate_star Atlantic (26,26.5] -0.8358951 -0.8507943 -0.8222630
sal + phosphate_star Atlantic (26.5,26.75] -0.7745823 -0.7842133 -0.7674002
sal + phosphate_star Atlantic (26.75,27] -0.7676621 -0.7766381 -0.7582231
sal + phosphate_star Atlantic (27,27.25] -0.7662674 -0.7691886 -0.7613882
sal + phosphate_star Atlantic (27.25,27.5] -0.7576407 -0.7721771 -0.7287693
sal + phosphate_star Atlantic (27.5,27.75] -0.6581640 -0.6811191 -0.6372209
sal + phosphate_star Atlantic (27.75,27.85] -0.9148485 -0.9199557 -0.9106368
sal + phosphate_star Atlantic (27.85,27.95] -0.9127690 -0.9205554 -0.9017583
sal + phosphate_star Atlantic (27.95,28.05] -0.9566787 -0.9604666 -0.9517017
sal + phosphate_star Atlantic (28.05,28.1] -0.9801832 -0.9806314 -0.9793349
sal + phosphate_star Atlantic (28.1,28.15] -0.9890491 -0.9911631 -0.9867078
sal + phosphate_star Atlantic (28.15,28.2] -0.9788088 -0.9807036 -0.9759401
sal + phosphate_star Atlantic (28.2, Inf] -0.7796586 -0.7866398 -0.7676352
sal + phosphate_star Indo-Pacific (-Inf,26] -0.4384562 -0.4425228 -0.4351168
sal + phosphate_star Indo-Pacific (26,26.5] -0.9008381 -0.9046942 -0.8983496
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.9077574 -0.9119419 -0.9031356
sal + phosphate_star Indo-Pacific (26.75,27] -0.8815465 -0.8931292 -0.8755595
sal + phosphate_star Indo-Pacific (27,27.25] -0.9119428 -0.9137557 -0.9099542
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.8935791 -0.8993989 -0.8843790
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.9088941 -0.9106628 -0.9075318
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.8913323 -0.8961492 -0.8863246
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.7991621 -0.8095803 -0.7924190
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7232848 -0.7330862 -0.7166008
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.6514895 -0.6744568 -0.6349158
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.0060324 -0.0273991 0.0077986
sal + silicate Atlantic (-Inf,26] -0.1830622 -0.1911138 -0.1755690
sal + silicate Atlantic (26,26.5] 0.1223626 0.1086264 0.1323723
sal + silicate Atlantic (26.5,26.75] 0.3416058 0.2868860 0.4470489
sal + silicate Atlantic (26.75,27] 0.2268877 0.1952402 0.2550883
sal + silicate Atlantic (27,27.25] 0.0051474 -0.0595653 0.0563571
sal + silicate Atlantic (27.25,27.5] -0.1499033 -0.1774638 -0.1071424
sal + silicate Atlantic (27.5,27.75] -0.2651465 -0.3035770 -0.2324757
sal + silicate Atlantic (27.75,27.85] -0.7482689 -0.7669794 -0.7260604
sal + silicate Atlantic (27.85,27.95] -0.8335627 -0.8416438 -0.8199307
sal + silicate Atlantic (27.95,28.05] -0.8856669 -0.8904348 -0.8784580
sal + silicate Atlantic (28.05,28.1] -0.9063957 -0.9106309 -0.8986968
sal + silicate Atlantic (28.1,28.15] -0.9216547 -0.9260961 -0.9178318
sal + silicate Atlantic (28.15,28.2] -0.7961999 -0.8044057 -0.7890895
sal + silicate Atlantic (28.2, Inf] -0.1076821 -0.1117152 -0.1022324
sal + silicate Indo-Pacific (-Inf,26] -0.3142848 -0.3160125 -0.3133802
sal + silicate Indo-Pacific (26,26.5] -0.3772738 -0.3923860 -0.3676236
sal + silicate Indo-Pacific (26.5,26.75] -0.4543608 -0.4611843 -0.4496896
sal + silicate Indo-Pacific (26.75,27] -0.6320230 -0.6503461 -0.6122127
sal + silicate Indo-Pacific (27,27.25] -0.6724622 -0.6867374 -0.6562819
sal + silicate Indo-Pacific (27.25,27.5] -0.2213520 -0.2651156 -0.1667309
sal + silicate Indo-Pacific (27.5,27.75] 0.4539348 0.4178495 0.5019855
sal + silicate Indo-Pacific (27.75,27.85] 0.7531265 0.7459531 0.7597049
sal + silicate Indo-Pacific (27.85,27.95] 0.7990734 0.7967661 0.8021106
sal + silicate Indo-Pacific (27.95,28.05] 0.8350938 0.8237234 0.8461062
sal + silicate Indo-Pacific (28.05,28.1] 0.8550144 0.8416456 0.8651257
sal + silicate Indo-Pacific (28.1, Inf] 0.7352861 0.7218278 0.7465952
sal + temp Atlantic (-Inf,26] 0.4975504 0.4745532 0.5256530
sal + temp Atlantic (26,26.5] 0.9821922 0.9814641 0.9826440
sal + temp Atlantic (26.5,26.75] 0.9842797 0.9824711 0.9865255
sal + temp Atlantic (26.75,27] 0.9840342 0.9834075 0.9844278
sal + temp Atlantic (27,27.25] 0.9830755 0.9829378 0.9833365
sal + temp Atlantic (27.25,27.5] 0.9800935 0.9796494 0.9807943
sal + temp Atlantic (27.5,27.75] 0.9615922 0.9607365 0.9630875
sal + temp Atlantic (27.75,27.85] 0.9843415 0.9840577 0.9845994
sal + temp Atlantic (27.85,27.95] 0.9796578 0.9752874 0.9819151
sal + temp Atlantic (27.95,28.05] 0.9817921 0.9811487 0.9823192
sal + temp Atlantic (28.05,28.1] 0.9878445 0.9872483 0.9884288
sal + temp Atlantic (28.1,28.15] 0.9852256 0.9849785 0.9855916
sal + temp Atlantic (28.15,28.2] 0.9842337 0.9841219 0.9843017
sal + temp Atlantic (28.2, Inf] 0.9165717 0.9088456 0.9215384
sal + temp Indo-Pacific (-Inf,26] 0.3866879 0.3834707 0.3889148
sal + temp Indo-Pacific (26,26.5] 0.9684225 0.9678217 0.9692236
sal + temp Indo-Pacific (26.5,26.75] 0.9803528 0.9799586 0.9807793
sal + temp Indo-Pacific (26.75,27] 0.9795343 0.9783189 0.9803511
sal + temp Indo-Pacific (27,27.25] 0.9724321 0.9720042 0.9728242
sal + temp Indo-Pacific (27.25,27.5] 0.9461794 0.9456757 0.9468830
sal + temp Indo-Pacific (27.5,27.75] 0.9371741 0.9345693 0.9397448
sal + temp Indo-Pacific (27.75,27.85] 0.9738198 0.9733313 0.9745755
sal + temp Indo-Pacific (27.85,27.95] 0.9575890 0.9562380 0.9587863
sal + temp Indo-Pacific (27.95,28.05] 0.9518583 0.9509834 0.9526469
sal + temp Indo-Pacific (28.05,28.1] 0.9772894 0.9766022 0.9783311
sal + temp Indo-Pacific (28.1, Inf] 0.5287939 0.5131957 0.5414809
silicate + phosphate Atlantic (-Inf,26] -0.0451429 -0.0895635 -0.0055331
silicate + phosphate Atlantic (26,26.5] 0.2478664 0.2168925 0.2923423
silicate + phosphate Atlantic (26.5,26.75] 0.6100933 0.5887707 0.6405927
silicate + phosphate Atlantic (26.75,27] 0.7626956 0.7514508 0.7703312
silicate + phosphate Atlantic (27,27.25] 0.7815061 0.7588888 0.7968392
silicate + phosphate Atlantic (27.25,27.5] 0.8365043 0.8331278 0.8424481
silicate + phosphate Atlantic (27.5,27.75] 0.8928218 0.8908177 0.8950137
silicate + phosphate Atlantic (27.75,27.85] 0.8929759 0.8887718 0.8951360
silicate + phosphate Atlantic (27.85,27.95] 0.9460918 0.9407408 0.9521135
silicate + phosphate Atlantic (27.95,28.05] 0.9774138 0.9769497 0.9780358
silicate + phosphate Atlantic (28.05,28.1] 0.9858999 0.9852542 0.9866113
silicate + phosphate Atlantic (28.1,28.15] 0.9879030 0.9875228 0.9883290
silicate + phosphate Atlantic (28.15,28.2] 0.9434590 0.9423331 0.9451416
silicate + phosphate Atlantic (28.2, Inf] 0.7602997 0.7531751 0.7665049
silicate + phosphate Indo-Pacific (-Inf,26] 0.8018993 0.7963117 0.8049903
silicate + phosphate Indo-Pacific (26,26.5] 0.8887727 0.8881449 0.8899903
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8912703 0.8893503 0.8923804
silicate + phosphate Indo-Pacific (26.75,27] 0.9343284 0.9338621 0.9348739
silicate + phosphate Indo-Pacific (27,27.25] 0.9632650 0.9626139 0.9636606
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9754544 0.9752553 0.9757587
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9842668 0.9840988 0.9845649
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9906633 0.9896644 0.9914627
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9909667 0.9906116 0.9914927
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9941937 0.9940167 0.9944545
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9949540 0.9947772 0.9950679
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8763306 0.8758965 0.8766181
silicate + phosphate_star Atlantic (-Inf,26] -0.0155839 -0.0623128 0.0201228
silicate + phosphate_star Atlantic (26,26.5] -0.1246063 -0.1904684 -0.0191748
silicate + phosphate_star Atlantic (26.5,26.75] -0.0262097 -0.1585582 0.0438999
silicate + phosphate_star Atlantic (26.75,27] 0.1792464 0.1437491 0.2245200
silicate + phosphate_star Atlantic (27,27.25] 0.4971151 0.4424562 0.5637924
silicate + phosphate_star Atlantic (27.25,27.5] 0.6556857 0.6494986 0.6605117
silicate + phosphate_star Atlantic (27.5,27.75] 0.8328038 0.8242932 0.8440560
silicate + phosphate_star Atlantic (27.75,27.85] 0.9034534 0.8927800 0.9104537
silicate + phosphate_star Atlantic (27.85,27.95] 0.9179997 0.9126588 0.9216019
silicate + phosphate_star Atlantic (27.95,28.05] 0.8929009 0.8905797 0.8949823
silicate + phosphate_star Atlantic (28.05,28.1] 0.9078477 0.8989014 0.9137683
silicate + phosphate_star Atlantic (28.1,28.15] 0.9313512 0.9262375 0.9340488
silicate + phosphate_star Atlantic (28.15,28.2] 0.8737381 0.8708278 0.8763922
silicate + phosphate_star Atlantic (28.2, Inf] 0.6782217 0.6708205 0.6847330
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.4645529 0.4556961 0.4710327
silicate + phosphate_star Indo-Pacific (26,26.5] 0.5297597 0.5198101 0.5432829
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.5493598 0.5391509 0.5568759
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7077517 0.6847915 0.7234410
silicate + phosphate_star Indo-Pacific (27,27.25] 0.6494933 0.6291834 0.6663473
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.2070435 0.1523997 0.2469705
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.3111634 -0.3551581 -0.2732136
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.5698002 -0.5760418 -0.5649121
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.5011863 -0.5152440 -0.4936483
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.4139008 -0.4398625 -0.3910750
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.3045153 -0.3642864 -0.2573329
silicate + phosphate_star Indo-Pacific (28.1, Inf] 0.3255520 0.2934792 0.3496408
temp + aou Atlantic (-Inf,26] -0.1321060 -0.1453754 -0.1217876
temp + aou Atlantic (26,26.5] 0.1293284 0.1200507 0.1358527
temp + aou Atlantic (26.5,26.75] 0.4171469 0.4010074 0.4295727
temp + aou Atlantic (26.75,27] 0.5159125 0.5066058 0.5276724
temp + aou Atlantic (27,27.25] 0.5989617 0.5880139 0.6099366
temp + aou Atlantic (27.25,27.5] 0.6859036 0.6749239 0.6927544
temp + aou Atlantic (27.5,27.75] 0.7780860 0.7728007 0.7847626
temp + aou Atlantic (27.75,27.85] 0.8293617 0.8088695 0.8480962
temp + aou Atlantic (27.85,27.95] 0.6511840 0.6149542 0.6875871
temp + aou Atlantic (27.95,28.05] 0.4422752 0.4100787 0.4671658
temp + aou Atlantic (28.05,28.1] -0.0939637 -0.1690553 -0.0187389
temp + aou Atlantic (28.1,28.15] -0.6079820 -0.6362557 -0.5681850
temp + aou Atlantic (28.15,28.2] -0.7510685 -0.7625419 -0.7361302
temp + aou Atlantic (28.2, Inf] -0.6364416 -0.6461099 -0.6192575
temp + aou Indo-Pacific (-Inf,26] -0.4095133 -0.4133797 -0.4073790
temp + aou Indo-Pacific (26,26.5] 0.0706718 0.0577332 0.0778615
temp + aou Indo-Pacific (26.5,26.75] 0.0767865 0.0545358 0.1027236
temp + aou Indo-Pacific (26.75,27] -0.2834409 -0.3034652 -0.2549743
temp + aou Indo-Pacific (27,27.25] -0.3932036 -0.4082569 -0.3776880
temp + aou Indo-Pacific (27.25,27.5] 0.1050685 0.0727940 0.1480915
temp + aou Indo-Pacific (27.5,27.75] 0.5754188 0.5493221 0.6073296
temp + aou Indo-Pacific (27.75,27.85] 0.8225894 0.8171153 0.8268410
temp + aou Indo-Pacific (27.85,27.95] 0.8348131 0.8322358 0.8382554
temp + aou Indo-Pacific (27.95,28.05] 0.8329233 0.8256498 0.8426808
temp + aou Indo-Pacific (28.05,28.1] 0.8571688 0.8427634 0.8719163
temp + aou Indo-Pacific (28.1, Inf] 0.8156381 0.8060443 0.8249069
temp + nitrate Atlantic (-Inf,26] -0.1911755 -0.2200182 -0.1529045
temp + nitrate Atlantic (26,26.5] 0.0725312 0.0493387 0.0951667
temp + nitrate Atlantic (26.5,26.75] 0.3649489 0.3492773 0.3903982
temp + nitrate Atlantic (26.75,27] 0.4127679 0.4059219 0.4211112
temp + nitrate Atlantic (27,27.25] 0.3432516 0.3293041 0.3608705
temp + nitrate Atlantic (27.25,27.5] 0.1857538 0.1537399 0.2458360
temp + nitrate Atlantic (27.5,27.75] -0.0027898 -0.0257108 0.0206983
temp + nitrate Atlantic (27.75,27.85] -0.4475071 -0.4619148 -0.4230955
temp + nitrate Atlantic (27.85,27.95] -0.6672534 -0.6758376 -0.6595055
temp + nitrate Atlantic (27.95,28.05] -0.8205678 -0.8255493 -0.8134677
temp + nitrate Atlantic (28.05,28.1] -0.8835682 -0.8887423 -0.8794512
temp + nitrate Atlantic (28.1,28.15] -0.9222138 -0.9240236 -0.9199647
temp + nitrate Atlantic (28.15,28.2] -0.9346872 -0.9363621 -0.9319542
temp + nitrate Atlantic (28.2, Inf] -0.8773801 -0.8960090 -0.8542084
temp + nitrate Indo-Pacific (-Inf,26] -0.4645414 -0.4697000 -0.4609383
temp + nitrate Indo-Pacific (26,26.5] -0.1692799 -0.1782815 -0.1634291
temp + nitrate Indo-Pacific (26.5,26.75] -0.2144991 -0.2372160 -0.1973500
temp + nitrate Indo-Pacific (26.75,27] -0.4959919 -0.5189036 -0.4758818
temp + nitrate Indo-Pacific (27,27.25] -0.6026955 -0.6102490 -0.5932202
temp + nitrate Indo-Pacific (27.25,27.5] -0.1206357 -0.1536984 -0.0771365
temp + nitrate Indo-Pacific (27.5,27.75] 0.4013233 0.3697687 0.4399358
temp + nitrate Indo-Pacific (27.75,27.85] 0.7507389 0.7459939 0.7532544
temp + nitrate Indo-Pacific (27.85,27.95] 0.7651757 0.7622205 0.7677759
temp + nitrate Indo-Pacific (27.95,28.05] 0.7535924 0.7436006 0.7651183
temp + nitrate Indo-Pacific (28.05,28.1] 0.7886804 0.7701041 0.8075034
temp + nitrate Indo-Pacific (28.1, Inf] 0.7475709 0.7333673 0.7606749
temp + phosphate Atlantic (-Inf,26] -0.3228108 -0.3450283 -0.3058803
temp + phosphate Atlantic (26,26.5] -0.1000206 -0.1329321 -0.0784613
temp + phosphate Atlantic (26.5,26.75] 0.2195910 0.2069842 0.2443035
temp + phosphate Atlantic (26.75,27] 0.2930820 0.2810176 0.3048320
temp + phosphate Atlantic (27,27.25] 0.1977386 0.1833183 0.2160631
temp + phosphate Atlantic (27.25,27.5] 0.0424731 0.0108629 0.1047627
temp + phosphate Atlantic (27.5,27.75] -0.1066119 -0.1284766 -0.0855638
temp + phosphate Atlantic (27.75,27.85] -0.5201345 -0.5329292 -0.4990932
temp + phosphate Atlantic (27.85,27.95] -0.7033984 -0.7103045 -0.6978349
temp + phosphate Atlantic (27.95,28.05] -0.8345782 -0.8397439 -0.8276008
temp + phosphate Atlantic (28.05,28.1] -0.8879485 -0.8932477 -0.8832440
temp + phosphate Atlantic (28.1,28.15] -0.9227688 -0.9243513 -0.9203422
temp + phosphate Atlantic (28.15,28.2] -0.9269409 -0.9289907 -0.9236192
temp + phosphate Atlantic (28.2, Inf] -0.8308890 -0.8492777 -0.8128560
temp + phosphate Indo-Pacific (-Inf,26] -0.4297165 -0.4322597 -0.4276766
temp + phosphate Indo-Pacific (26,26.5] -0.2250398 -0.2362849 -0.2180963
temp + phosphate Indo-Pacific (26.5,26.75] -0.2167450 -0.2285632 -0.2050803
temp + phosphate Indo-Pacific (26.75,27] -0.4632541 -0.4857990 -0.4401952
temp + phosphate Indo-Pacific (27,27.25] -0.5626588 -0.5736203 -0.5511975
temp + phosphate Indo-Pacific (27.25,27.5] -0.1057805 -0.1414626 -0.0607203
temp + phosphate Indo-Pacific (27.5,27.75] 0.4091086 0.3782218 0.4473483
temp + phosphate Indo-Pacific (27.75,27.85] 0.7410092 0.7357530 0.7440368
temp + phosphate Indo-Pacific (27.85,27.95] 0.7661220 0.7628644 0.7689640
temp + phosphate Indo-Pacific (27.95,28.05] 0.7588479 0.7502178 0.7691281
temp + phosphate Indo-Pacific (28.05,28.1] 0.8032267 0.7862984 0.8214039
temp + phosphate Indo-Pacific (28.1, Inf] 0.7667281 0.7508399 0.7815563
temp + phosphate_star Atlantic (-Inf,26] -0.8694107 -0.8830165 -0.8614836
temp + phosphate_star Atlantic (26,26.5] -0.8462057 -0.8530089 -0.8415719
temp + phosphate_star Atlantic (26.5,26.75] -0.8023521 -0.8074821 -0.7968284
temp + phosphate_star Atlantic (26.75,27] -0.8093738 -0.8177904 -0.8020857
temp + phosphate_star Atlantic (27,27.25] -0.8034292 -0.8054716 -0.8019941
temp + phosphate_star Atlantic (27.25,27.5] -0.7958438 -0.8107704 -0.7682613
temp + phosphate_star Atlantic (27.5,27.75] -0.7442662 -0.7597614 -0.7316876
temp + phosphate_star Atlantic (27.75,27.85] -0.9318358 -0.9343462 -0.9292317
temp + phosphate_star Atlantic (27.85,27.95] -0.9422079 -0.9440053 -0.9393811
temp + phosphate_star Atlantic (27.95,28.05] -0.9691201 -0.9702873 -0.9673393
temp + phosphate_star Atlantic (28.05,28.1] -0.9733059 -0.9748073 -0.9712223
temp + phosphate_star Atlantic (28.1,28.15] -0.9779750 -0.9786070 -0.9768462
temp + phosphate_star Atlantic (28.15,28.2] -0.9779772 -0.9794525 -0.9754261
temp + phosphate_star Atlantic (28.2, Inf] -0.9086166 -0.9237497 -0.8870265
temp + phosphate_star Indo-Pacific (-Inf,26] -0.7033213 -0.7056089 -0.7019770
temp + phosphate_star Indo-Pacific (26,26.5] -0.9345248 -0.9381155 -0.9313924
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.9253949 -0.9301910 -0.9207772
temp + phosphate_star Indo-Pacific (26.75,27] -0.8894753 -0.8997214 -0.8829833
temp + phosphate_star Indo-Pacific (27,27.25] -0.9323790 -0.9350321 -0.9294065
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.9532625 -0.9576826 -0.9467173
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.9689369 -0.9703782 -0.9679460
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.9375399 -0.9397980 -0.9344142
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.8802775 -0.8886189 -0.8752391
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.8195364 -0.8274622 -0.8146639
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.7154119 -0.7349195 -0.6993318
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.3611979 -0.3685599 -0.3514506
temp + silicate Atlantic (-Inf,26] -0.0565892 -0.0687121 -0.0421203
temp + silicate Atlantic (26,26.5] 0.0677645 0.0532991 0.0827720
temp + silicate Atlantic (26.5,26.75] 0.2615139 0.1918752 0.3847155
temp + silicate Atlantic (26.75,27] 0.1221882 0.0846037 0.1568957
temp + silicate Atlantic (27,27.25] -0.0967269 -0.1743191 -0.0392970
temp + silicate Atlantic (27.25,27.5] -0.2254357 -0.2563755 -0.1829775
temp + silicate Atlantic (27.5,27.75] -0.3828739 -0.4121044 -0.3593536
temp + silicate Atlantic (27.75,27.85] -0.7469423 -0.7571844 -0.7290300
temp + silicate Atlantic (27.85,27.95] -0.8250811 -0.8314215 -0.8216932
temp + silicate Atlantic (27.95,28.05] -0.8560261 -0.8593322 -0.8498973
temp + silicate Atlantic (28.05,28.1] -0.8669211 -0.8743165 -0.8542189
temp + silicate Atlantic (28.1,28.15] -0.8821692 -0.8857513 -0.8761624
temp + silicate Atlantic (28.15,28.2] -0.7813143 -0.7873503 -0.7746203
temp + silicate Atlantic (28.2, Inf] -0.3953665 -0.4063661 -0.3896145
temp + silicate Indo-Pacific (-Inf,26] -0.4011343 -0.4025596 -0.3986453
temp + silicate Indo-Pacific (26,26.5] -0.3736182 -0.3862054 -0.3664751
temp + silicate Indo-Pacific (26.5,26.75] -0.4115174 -0.4198269 -0.4044064
temp + silicate Indo-Pacific (26.75,27] -0.5998644 -0.6183756 -0.5785248
temp + silicate Indo-Pacific (27,27.25] -0.6383842 -0.6491148 -0.6267946
temp + silicate Indo-Pacific (27.25,27.5] -0.1973398 -0.2317104 -0.1529592
temp + silicate Indo-Pacific (27.5,27.75] 0.3587128 0.3273689 0.3971700
temp + silicate Indo-Pacific (27.75,27.85] 0.7195621 0.7155528 0.7217726
temp + silicate Indo-Pacific (27.85,27.95] 0.7518239 0.7485145 0.7540417
temp + silicate Indo-Pacific (27.95,28.05] 0.7741477 0.7639870 0.7849912
temp + silicate Indo-Pacific (28.05,28.1] 0.8229235 0.8087715 0.8371790
temp + silicate Indo-Pacific (28.1, Inf] 0.6401240 0.6178531 0.6589035
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
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] 0.0554780 0.0279919 0.0719960
aou Atlantic (26,26.5] -0.1150955 -0.1948320 -0.0299461
aou Atlantic (26.5,26.75] -0.1287163 -0.2031625 -0.0244542
aou Atlantic (26.75,27] -0.1388466 -0.2657701 0.0171309
aou Atlantic (27,27.25] -0.2458486 -0.3212091 -0.1404551
aou Atlantic (27.25,27.5] -0.1262277 -0.2430392 -0.0256534
aou Atlantic (27.5,27.75] 0.0825589 0.0229366 0.1566008
aou Atlantic (27.75,27.85] 0.2429049 0.1796905 0.3006437
aou Atlantic (27.85,27.95] 0.0815172 0.0419987 0.1178932
aou Atlantic (27.95,28.05] 0.0196048 -0.0487698 0.0593481
aou Atlantic (28.05,28.1] -0.4358166 -0.4504541 -0.4248073
aou Atlantic (28.1,28.15] -0.8146728 -0.8152321 -0.8141496
aou Atlantic (28.15,28.2] -0.9081234 -0.9106662 -0.9039817
aou Atlantic (28.2, Inf] -0.8004642 -0.8103598 -0.7886230
aou Indo-Pacific (-Inf,26] 0.3534124 0.3139805 0.3900927
aou Indo-Pacific (26,26.5] -0.4514610 -0.6015435 -0.2599347
aou Indo-Pacific (26.5,26.75] -0.6708810 -0.7533019 -0.5390021
aou Indo-Pacific (26.75,27] -0.7025045 -0.8033981 -0.5654295
aou Indo-Pacific (27,27.25] -0.6452079 -0.7666705 -0.4782582
aou Indo-Pacific (27.25,27.5] -0.4469114 -0.7106846 -0.0675306
aou Indo-Pacific (27.5,27.75] -0.2278575 -0.7127665 0.4332285
aou Indo-Pacific (27.75,27.85] -0.1289094 -0.6642509 0.6054599
aou Indo-Pacific (27.85,27.95] -0.0577267 -0.5389897 0.5386549
aou Indo-Pacific (27.95,28.05] -0.1052596 -0.4859289 0.3833522
aou Indo-Pacific (28.05,28.1] 0.0780863 -0.3094811 0.5304242
aou Indo-Pacific (28.1, Inf] 0.4930938 0.3588916 0.6226802
nitrate Atlantic (-Inf,26] 0.0771697 0.0478924 0.0934376
nitrate Atlantic (26,26.5] -0.2452793 -0.3031697 -0.1851389
nitrate Atlantic (26.5,26.75] -0.2982639 -0.3954575 -0.1751796
nitrate Atlantic (26.75,27] -0.3599161 -0.4693122 -0.2275130
nitrate Atlantic (27,27.25] -0.6338593 -0.7092100 -0.5514233
nitrate Atlantic (27.25,27.5] -0.7682680 -0.8222574 -0.7105577
nitrate Atlantic (27.5,27.75] -0.8787810 -0.9038305 -0.8487994
nitrate Atlantic (27.75,27.85] -0.9229789 -0.9361352 -0.9044607
nitrate Atlantic (27.85,27.95] -0.9666634 -0.9704131 -0.9628236
nitrate Atlantic (27.95,28.05] -0.9572062 -0.9596262 -0.9556549
nitrate Atlantic (28.05,28.1] -0.9882645 -0.9897198 -0.9868554
nitrate Atlantic (28.1,28.15] -0.9927564 -0.9939691 -0.9919608
nitrate Atlantic (28.15,28.2] -0.9944630 -0.9960774 -0.9918177
nitrate Atlantic (28.2, Inf] -0.9657948 -0.9719379 -0.9585585
nitrate Indo-Pacific (-Inf,26] 0.3579324 0.3138759 0.3998480
nitrate Indo-Pacific (26,26.5] -0.4296571 -0.5760160 -0.2489051
nitrate Indo-Pacific (26.5,26.75] -0.6665311 -0.7524628 -0.5453143
nitrate Indo-Pacific (26.75,27] -0.6892857 -0.7635623 -0.5824966
nitrate Indo-Pacific (27,27.25] -0.6992103 -0.7989681 -0.5622965
nitrate Indo-Pacific (27.25,27.5] -0.5438447 -0.7758979 -0.2054033
nitrate Indo-Pacific (27.5,27.75] -0.2939645 -0.7496985 0.3403483
nitrate Indo-Pacific (27.75,27.85] -0.0959399 -0.6267339 0.6250725
nitrate Indo-Pacific (27.85,27.95] 0.0160897 -0.4564240 0.5889520
nitrate Indo-Pacific (27.95,28.05] -0.0090774 -0.3772611 0.4582016
nitrate Indo-Pacific (28.05,28.1] 0.1657061 -0.2011728 0.5901872
nitrate Indo-Pacific (28.1, Inf] 0.5138338 0.4033632 0.6193052
phosphate Atlantic (-Inf,26] 0.0793691 0.0560457 0.0951987
phosphate Atlantic (26,26.5] -0.1687661 -0.2241385 -0.1184594
phosphate Atlantic (26.5,26.75] -0.2598230 -0.3587812 -0.1376139
phosphate Atlantic (26.75,27] -0.3714096 -0.4737868 -0.2516604
phosphate Atlantic (27,27.25] -0.6639352 -0.7336085 -0.5868728
phosphate Atlantic (27.25,27.5] -0.8010517 -0.8421597 -0.7533286
phosphate Atlantic (27.5,27.75] -0.9051077 -0.9231340 -0.8829934
phosphate Atlantic (27.75,27.85] -0.9448857 -0.9527945 -0.9328180
phosphate Atlantic (27.85,27.95] -0.9695191 -0.9736254 -0.9619553
phosphate Atlantic (27.95,28.05] -0.9597707 -0.9615590 -0.9566898
phosphate Atlantic (28.05,28.1] -0.9885265 -0.9900232 -0.9867194
phosphate Atlantic (28.1,28.15] -0.9928932 -0.9939976 -0.9921523
phosphate Atlantic (28.15,28.2] -0.9937678 -0.9949452 -0.9924933
phosphate Atlantic (28.2, Inf] -0.9779885 -0.9807725 -0.9762173
phosphate Indo-Pacific (-Inf,26] 0.2719199 0.2220810 0.3206433
phosphate Indo-Pacific (26,26.5] -0.5202142 -0.6718630 -0.3230276
phosphate Indo-Pacific (26.5,26.75] -0.7600704 -0.8399244 -0.6417945
phosphate Indo-Pacific (26.75,27] -0.7856046 -0.8618235 -0.6812365
phosphate Indo-Pacific (27,27.25] -0.7610333 -0.8559881 -0.6292312
phosphate Indo-Pacific (27.25,27.5] -0.5852147 -0.8115301 -0.2533343
phosphate Indo-Pacific (27.5,27.75] -0.2910827 -0.7433170 0.3376854
phosphate Indo-Pacific (27.75,27.85] -0.0844851 -0.6108970 0.6292563
phosphate Indo-Pacific (27.85,27.95] 0.0145120 -0.4564316 0.5881825
phosphate Indo-Pacific (27.95,28.05] -0.0092832 -0.3759144 0.4553044
phosphate Indo-Pacific (28.05,28.1] 0.1479398 -0.2179524 0.5707665
phosphate Indo-Pacific (28.1, Inf] 0.4647151 0.3455955 0.5794111
phosphate_star Atlantic (-Inf,26] 0.4969962 0.4788004 0.5064190
phosphate_star Atlantic (26,26.5] 0.2639180 0.1758400 0.3098701
phosphate_star Atlantic (26.5,26.75] -0.0411616 -0.1107375 0.0100807
phosphate_star Atlantic (26.75,27] -0.3071957 -0.3901366 -0.2484644
phosphate_star Atlantic (27,27.25] -0.4738860 -0.5247649 -0.4387085
phosphate_star Atlantic (27.25,27.5] -0.6336352 -0.6981912 -0.5563685
phosphate_star Atlantic (27.5,27.75] -0.7942530 -0.8383623 -0.7522668
phosphate_star Atlantic (27.75,27.85] -0.8535131 -0.9004313 -0.8027325
phosphate_star Atlantic (27.85,27.95] -0.8575096 -0.9021248 -0.8075747
phosphate_star Atlantic (27.95,28.05] -0.8799100 -0.9154197 -0.8437133
phosphate_star Atlantic (28.05,28.1] -0.9363899 -0.9596368 -0.9096224
phosphate_star Atlantic (28.1,28.15] -0.9639579 -0.9776610 -0.9492232
phosphate_star Atlantic (28.15,28.2] -0.9770935 -0.9866121 -0.9669520
phosphate_star Atlantic (28.2, Inf] -0.9695586 -0.9791186 -0.9565256
phosphate_star Indo-Pacific (-Inf,26] 0.4055583 0.3660664 0.4480843
phosphate_star Indo-Pacific (26,26.5] -0.2003292 -0.2751598 -0.1121611
phosphate_star Indo-Pacific (26.5,26.75] -0.3361998 -0.3419319 -0.3314701
phosphate_star Indo-Pacific (26.75,27] -0.5255959 -0.5356593 -0.5173775
phosphate_star Indo-Pacific (27,27.25] -0.7147344 -0.7348073 -0.6988358
phosphate_star Indo-Pacific (27.25,27.5] -0.5720775 -0.7246004 -0.4493026
phosphate_star Indo-Pacific (27.5,27.75] -0.1218174 -0.5331732 0.1975025
phosphate_star Indo-Pacific (27.75,27.85] 0.3353754 -0.2416065 0.7223306
phosphate_star Indo-Pacific (27.85,27.95] 0.4390827 -0.0104031 0.7627584
phosphate_star Indo-Pacific (27.95,28.05] 0.5753864 0.2418688 0.8065011
phosphate_star Indo-Pacific (28.05,28.1] 0.5139762 0.1932072 0.7609118
phosphate_star Indo-Pacific (28.1, Inf] -0.0219114 -0.1138778 0.0691077
sal Atlantic (-Inf,26] -0.0213021 -0.0432284 0.0098317
sal Atlantic (26,26.5] -0.6060586 -0.6425890 -0.5617249
sal Atlantic (26.5,26.75] -0.4868307 -0.5118800 -0.4686317
sal Atlantic (26.75,27] -0.3097288 -0.3862737 -0.2028919
sal Atlantic (27,27.25] -0.1814185 -0.2290488 -0.1163765
sal Atlantic (27.25,27.5] 0.0023301 -0.1380565 0.1078251
sal Atlantic (27.5,27.75] 0.0967348 -0.0017494 0.2040786
sal Atlantic (27.75,27.85] 0.6242200 0.5423793 0.7120631
sal Atlantic (27.85,27.95] 0.6609240 0.5889635 0.7344305
sal Atlantic (27.95,28.05] 0.7892551 0.7395328 0.8357150
sal Atlantic (28.05,28.1] 0.8959661 0.8692769 0.9173345
sal Atlantic (28.1,28.15] 0.9404099 0.9260166 0.9595961
sal Atlantic (28.15,28.2] 0.9465907 0.9260655 0.9642117
sal Atlantic (28.2, Inf] 0.6767403 0.6390711 0.7046576
sal Indo-Pacific (-Inf,26] -0.0080870 -0.0240783 0.0086235
sal Indo-Pacific (26,26.5] -0.0051154 -0.0657354 0.0621006
sal Indo-Pacific (26.5,26.75] 0.1095203 0.0946305 0.1272659
sal Indo-Pacific (26.75,27] 0.2493857 0.2085091 0.2966892
sal Indo-Pacific (27,27.25] 0.5315522 0.5141303 0.5493635
sal Indo-Pacific (27.25,27.5] 0.3720041 0.2927840 0.4788525
sal Indo-Pacific (27.5,27.75] -0.0885406 -0.4315068 0.3861316
sal Indo-Pacific (27.75,27.85] -0.3682881 -0.8270406 0.3000652
sal Indo-Pacific (27.85,27.95] -0.2963636 -0.7230121 0.2559694
sal Indo-Pacific (27.95,28.05] -0.3861207 -0.7145497 0.0599283
sal Indo-Pacific (28.05,28.1] -0.2451294 -0.5984770 0.1830455
sal Indo-Pacific (28.1, Inf] -0.0180803 -0.2202403 0.1916113
silicate Atlantic (-Inf,26] -0.0729132 -0.0819540 -0.0659686
silicate Atlantic (26,26.5] -0.1815538 -0.2205606 -0.1552457
silicate Atlantic (26.5,26.75] -0.3898019 -0.4838104 -0.2761434
silicate Atlantic (26.75,27] -0.5254455 -0.6032591 -0.4416996
silicate Atlantic (27,27.25] -0.7507689 -0.7925951 -0.7072871
silicate Atlantic (27.25,27.5] -0.8267433 -0.8428767 -0.8067467
silicate Atlantic (27.5,27.75] -0.8961165 -0.9018011 -0.8903813
silicate Atlantic (27.75,27.85] -0.9265218 -0.9440281 -0.9088847
silicate Atlantic (27.85,27.95] -0.9167068 -0.9393271 -0.8877515
silicate Atlantic (27.95,28.05] -0.9186107 -0.9241794 -0.9130440
silicate Atlantic (28.05,28.1] -0.9659724 -0.9683069 -0.9618340
silicate Atlantic (28.1,28.15] -0.9774651 -0.9819129 -0.9728257
silicate Atlantic (28.15,28.2] -0.9264512 -0.9353244 -0.9134722
silicate Atlantic (28.2, Inf] -0.7474698 -0.7758269 -0.7075958
silicate Indo-Pacific (-Inf,26] 0.2020129 0.1607977 0.2434554
silicate Indo-Pacific (26,26.5] -0.5616580 -0.6937120 -0.3949777
silicate Indo-Pacific (26.5,26.75] -0.6859691 -0.7639974 -0.5751837
silicate Indo-Pacific (26.75,27] -0.6559950 -0.7329389 -0.5514266
silicate Indo-Pacific (27,27.25] -0.6546211 -0.7569049 -0.5162920
silicate Indo-Pacific (27.25,27.5] -0.5292649 -0.7512426 -0.2090164
silicate Indo-Pacific (27.5,27.75] -0.2574744 -0.7029003 0.3581910
silicate Indo-Pacific (27.75,27.85] -0.0624016 -0.5900564 0.6489524
silicate Indo-Pacific (27.85,27.95] 0.0284520 -0.4465532 0.6030376
silicate Indo-Pacific (27.95,28.05] -0.0165770 -0.3907770 0.4589484
silicate Indo-Pacific (28.05,28.1] 0.1447809 -0.2247137 0.5742953
silicate Indo-Pacific (28.1, Inf] 0.3776890 0.2205045 0.5340842
temp Atlantic (-Inf,26] -0.7569641 -0.7722326 -0.7469219
temp Atlantic (26,26.5] -0.6342222 -0.6728694 -0.5797939
temp Atlantic (26.5,26.75] -0.4785719 -0.5050867 -0.4314468
temp Atlantic (26.75,27] -0.2550215 -0.3233679 -0.1569435
temp Atlantic (27,27.25] -0.1187240 -0.1478166 -0.0690002
temp Atlantic (27.25,27.5] 0.0531151 -0.0847332 0.1523938
temp Atlantic (27.5,27.75] 0.2012235 0.1195452 0.2923521
temp Atlantic (27.75,27.85] 0.6256927 0.5482628 0.7055307
temp Atlantic (27.85,27.95] 0.6709206 0.6008694 0.7388150
temp Atlantic (27.95,28.05] 0.7747366 0.7249137 0.8219527
temp Atlantic (28.05,28.1] 0.8618804 0.8278062 0.8874953
temp Atlantic (28.1,28.15] 0.9036326 0.8846602 0.9242613
temp Atlantic (28.15,28.2] 0.9229702 0.9004739 0.9428855
temp Atlantic (28.2, Inf] 0.8174298 0.7975944 0.8462547
temp Indo-Pacific (-Inf,26] -0.8553603 -0.8692553 -0.8410232
temp Indo-Pacific (26,26.5] -0.0581017 -0.1304575 0.0157710
temp Indo-Pacific (26.5,26.75] 0.0553093 0.0393337 0.0762138
temp Indo-Pacific (26.75,27] 0.1887145 0.1528095 0.2323598
temp Indo-Pacific (27,27.25] 0.5057741 0.4983808 0.5137365
temp Indo-Pacific (27.25,27.5] 0.4382854 0.3390157 0.5633495
temp Indo-Pacific (27.5,27.75] 0.0278694 -0.2814111 0.4382747
temp Indo-Pacific (27.75,27.85] -0.3756434 -0.8118457 0.2703059
temp Indo-Pacific (27.85,27.95] -0.3668024 -0.7694630 0.1688009
temp Indo-Pacific (27.95,28.05] -0.4572034 -0.7745878 -0.0215855
temp Indo-Pacific (28.05,28.1] -0.2700218 -0.6240377 0.1683132
temp Indo-Pacific (28.1, Inf] 0.2423454 0.0787373 0.4059909
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