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

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

Version Author Date
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
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
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
pair basin gamma_slab mean_r min_r max_r
aou + nitrate Atlantic (-Inf,26] 0.7335650 0.5633370 0.9037929
aou + nitrate Atlantic (26,26.5] 0.9050434 0.8609370 0.9809023
aou + nitrate Atlantic (26.5,26.75] 0.9630232 0.9596752 0.9693027
aou + nitrate Atlantic (26.75,27] 0.9834400 0.9783617 0.9870534
aou + nitrate Atlantic (27,27.25] 0.9678757 0.9620447 0.9765554
aou + nitrate Atlantic (27.25,27.5] 0.9330456 0.9142135 0.9550904
aou + nitrate Atlantic (27.5,27.75] 0.8400130 0.7484269 0.9322502
aou + nitrate Atlantic (27.75,27.85] 0.7075071 0.5460920 0.8546967
aou + nitrate Atlantic (27.85,27.95] 0.7098476 0.5598931 0.8133461
aou + nitrate Atlantic (27.95,28.05] 0.8285413 0.7049533 0.8949586
aou + nitrate Atlantic (28.05,28.1] 0.9477253 0.9196060 0.9640694
aou + nitrate Atlantic (28.1,28.15] 0.9638243 0.9301175 0.9832119
aou + nitrate Atlantic (28.15,28.2] 0.9784852 0.9658867 0.9924564
aou + nitrate Atlantic (28.2, Inf] 0.9227102 0.8909483 0.9583416
aou + nitrate Indian (-Inf,26] 0.9667630 0.9496544 0.9979912
aou + nitrate Indian (26,26.5] 0.9020570 0.8153468 0.9896426
aou + nitrate Indian (26.5,26.75] 0.9435677 0.9002465 0.9923105
aou + nitrate Indian (26.75,27] 0.9498317 0.9098076 0.9895255
aou + nitrate Indian (27,27.25] 0.9644282 0.9523815 0.9852217
aou + nitrate Indian (27.25,27.5] 0.9513816 0.9440570 0.9635376
aou + nitrate Indian (27.5,27.75] 0.9596346 0.9549022 0.9653747
aou + nitrate Indian (27.75,27.85] 0.9861880 0.9810738 0.9929238
aou + nitrate Indian (27.85,27.95] 0.9857581 0.9752994 0.9918427
aou + nitrate Indian (27.95,28.05] 0.9777286 0.9569330 0.9893751
aou + nitrate Indian (28.05,28.1] 0.9635189 0.9342223 0.9850736
aou + nitrate Indian (28.1, Inf] 0.9321753 0.9050952 0.9617298
aou + nitrate Pacific (-Inf,26] 0.9259166 0.9050190 0.9435588
aou + nitrate Pacific (26,26.5] 0.8869299 0.8602377 0.9098211
aou + nitrate Pacific (26.5,26.75] 0.8555325 0.8481004 0.8653902
aou + nitrate Pacific (26.75,27] 0.8389968 0.8053921 0.8869949
aou + nitrate Pacific (27,27.25] 0.8934330 0.8304077 0.9434905
aou + nitrate Pacific (27.25,27.5] 0.9277768 0.8796839 0.9528569
aou + nitrate Pacific (27.5,27.75] 0.9568490 0.9179295 0.9819394
aou + nitrate Pacific (27.75,27.85] 0.9739110 0.9478760 0.9937758
aou + nitrate Pacific (27.85,27.95] 0.9808196 0.9589293 0.9966018
aou + nitrate Pacific (27.95,28.05] 0.9966842 0.9952029 0.9977143
aou + nitrate Pacific (28.05,28.1] 0.9965751 0.9953229 0.9977873
aou + nitrate Pacific (28.1, Inf] 0.9951497 0.9945472 0.9956497
aou + phosphate Atlantic (-Inf,26] 0.9305905 0.8861831 0.9749979
aou + phosphate Atlantic (26,26.5] 0.9106399 0.8859326 0.9569539
aou + phosphate Atlantic (26.5,26.75] 0.9250735 0.8999742 0.9525005
aou + phosphate Atlantic (26.75,27] 0.9557358 0.9486227 0.9601405
aou + phosphate Atlantic (27,27.25] 0.9250102 0.9099598 0.9326578
aou + phosphate Atlantic (27.25,27.5] 0.8941731 0.8653945 0.9245586
aou + phosphate Atlantic (27.5,27.75] 0.7989666 0.6922531 0.9056951
aou + phosphate Atlantic (27.75,27.85] 0.6722578 0.5001500 0.8338382
aou + phosphate Atlantic (27.85,27.95] 0.6853054 0.5307499 0.7989051
aou + phosphate Atlantic (27.95,28.05] 0.8161386 0.6937891 0.8856222
aou + phosphate Atlantic (28.05,28.1] 0.9436582 0.9163740 0.9597844
aou + phosphate Atlantic (28.1,28.15] 0.9606933 0.9264323 0.9793935
aou + phosphate Atlantic (28.15,28.2] 0.9792205 0.9684534 0.9911309
aou + phosphate Atlantic (28.2, Inf] 0.9013696 0.8574432 0.9612080
aou + phosphate Indian (-Inf,26] 0.9896119 0.9808761 0.9974735
aou + phosphate Indian (26,26.5] 0.9881687 0.9844583 0.9939893
aou + phosphate Indian (26.5,26.75] 0.9897614 0.9856244 0.9945811
aou + phosphate Indian (26.75,27] 0.9861552 0.9805539 0.9907220
aou + phosphate Indian (27,27.25] 0.9828542 0.9790031 0.9859364
aou + phosphate Indian (27.25,27.5] 0.9673349 0.9577208 0.9793018
aou + phosphate Indian (27.5,27.75] 0.9691014 0.9621992 0.9818659
aou + phosphate Indian (27.75,27.85] 0.9876258 0.9777151 0.9958911
aou + phosphate Indian (27.85,27.95] 0.9839305 0.9683026 0.9957918
aou + phosphate Indian (27.95,28.05] 0.9763543 0.9488784 0.9931186
aou + phosphate Indian (28.05,28.1] 0.9619902 0.9280919 0.9865676
aou + phosphate Indian (28.1, Inf] 0.9164819 0.8731358 0.9558462
aou + phosphate Pacific (-Inf,26] 0.9342025 0.9064416 0.9539818
aou + phosphate Pacific (26,26.5] 0.9537589 0.9442131 0.9613805
aou + phosphate Pacific (26.5,26.75] 0.9632275 0.9538840 0.9750657
aou + phosphate Pacific (26.75,27] 0.9494938 0.9389991 0.9615827
aou + phosphate Pacific (27,27.25] 0.9670674 0.9391844 0.9810594
aou + phosphate Pacific (27.25,27.5] 0.9814158 0.9683120 0.9883698
aou + phosphate Pacific (27.5,27.75] 0.9866489 0.9746533 0.9941398
aou + phosphate Pacific (27.75,27.85] 0.9939313 0.9877610 0.9987802
aou + phosphate Pacific (27.85,27.95] 0.9959024 0.9932479 0.9987307
aou + phosphate Pacific (27.95,28.05] 0.9975239 0.9970874 0.9982879
aou + phosphate Pacific (28.05,28.1] 0.9974836 0.9967861 0.9986677
aou + phosphate Pacific (28.1, Inf] 0.9961844 0.9955783 0.9969561
aou + phosphate_star Atlantic (-Inf,26] 0.1924238 0.0327941 0.3520535
aou + phosphate_star Atlantic (26,26.5] 0.5150433 0.2842431 0.8810275
aou + phosphate_star Atlantic (26.5,26.75] 0.3127622 0.0746575 0.7569534
aou + phosphate_star Atlantic (26.75,27] -0.0966408 -0.1515821 0.0068415
aou + phosphate_star Atlantic (27,27.25] -0.0638784 -0.2779478 0.0536170
aou + phosphate_star Atlantic (27.25,27.5] 0.0519467 -0.0223591 0.1292696
aou + phosphate_star Atlantic (27.5,27.75] 0.2147566 0.0627190 0.4099147
aou + phosphate_star Atlantic (27.75,27.85] 0.2612324 0.0050193 0.5490651
aou + phosphate_star Atlantic (27.85,27.95] 0.3451747 0.1549163 0.5099633
aou + phosphate_star Atlantic (27.95,28.05] 0.6009887 0.4404639 0.6974088
aou + phosphate_star Atlantic (28.05,28.1] 0.8514693 0.8176705 0.8866030
aou + phosphate_star Atlantic (28.1,28.15] 0.8933550 0.8284641 0.9265981
aou + phosphate_star Atlantic (28.15,28.2] 0.9340517 0.9082271 0.9640288
aou + phosphate_star Atlantic (28.2, Inf] 0.8113440 0.7410136 0.9014739
aou + phosphate_star Indian (-Inf,26] 0.8672778 0.7835352 0.9741011
aou + phosphate_star Indian (26,26.5] 0.7922342 0.7128641 0.9367625
aou + phosphate_star Indian (26.5,26.75] 0.7042210 0.5802421 0.8432510
aou + phosphate_star Indian (26.75,27] 0.4923087 0.3597779 0.5844826
aou + phosphate_star Indian (27,27.25] 0.2784332 0.1697669 0.3654634
aou + phosphate_star Indian (27.25,27.5] -0.3184197 -0.3819363 -0.2632699
aou + phosphate_star Indian (27.5,27.75] -0.5797716 -0.6503585 -0.4963752
aou + phosphate_star Indian (27.75,27.85] -0.8225466 -0.8899408 -0.7325901
aou + phosphate_star Indian (27.85,27.95] -0.7827811 -0.8036872 -0.7508009
aou + phosphate_star Indian (27.95,28.05] -0.6186962 -0.7025312 -0.5462396
aou + phosphate_star Indian (28.05,28.1] -0.5882336 -0.7533498 -0.4839609
aou + phosphate_star Indian (28.1, Inf] -0.6868860 -0.7896203 -0.5102641
aou + phosphate_star Pacific (-Inf,26] 0.4891330 0.3544074 0.5701986
aou + phosphate_star Pacific (26,26.5] 0.4689325 0.4281209 0.5109172
aou + phosphate_star Pacific (26.5,26.75] 0.3182402 0.1692015 0.5152645
aou + phosphate_star Pacific (26.75,27] 0.4694242 0.2788353 0.5914709
aou + phosphate_star Pacific (27,27.25] 0.6399529 0.6034388 0.6968136
aou + phosphate_star Pacific (27.25,27.5] 0.5464126 0.4961119 0.6010661
aou + phosphate_star Pacific (27.5,27.75] 0.0899053 0.0336635 0.1315552
aou + phosphate_star Pacific (27.75,27.85] -0.2293416 -0.3327282 -0.1424955
aou + phosphate_star Pacific (27.85,27.95] -0.3443885 -0.5602663 -0.0328961
aou + phosphate_star Pacific (27.95,28.05] -0.4249960 -0.7054727 -0.1824720
aou + phosphate_star Pacific (28.05,28.1] -0.2521808 -0.5499980 0.1528588
aou + phosphate_star Pacific (28.1, Inf] -0.5529611 -0.6136398 -0.4676096
aou + silicate Atlantic (-Inf,26] 0.0300308 -0.0955795 0.1556412
aou + silicate Atlantic (26,26.5] 0.4822030 0.2009060 0.9528781
aou + silicate Atlantic (26.5,26.75] 0.7034496 0.5654080 0.9442311
aou + silicate Atlantic (26.75,27] 0.7856226 0.7608808 0.8157789
aou + silicate Atlantic (27,27.25] 0.5906486 0.5106398 0.6473687
aou + silicate Atlantic (27.25,27.5] 0.6160252 0.5758629 0.6436375
aou + silicate Atlantic (27.5,27.75] 0.5411438 0.3987731 0.7280833
aou + silicate Atlantic (27.75,27.85] 0.4223552 0.2482406 0.6489140
aou + silicate Atlantic (27.85,27.95] 0.4726133 0.3452620 0.6426531
aou + silicate Atlantic (27.95,28.05] 0.6611841 0.5943645 0.7344191
aou + silicate Atlantic (28.05,28.1] 0.8790386 0.8689051 0.8853735
aou + silicate Atlantic (28.1,28.15] 0.9284537 0.9085933 0.9438542
aou + silicate Atlantic (28.15,28.2] 0.9490249 0.9422450 0.9571863
aou + silicate Atlantic (28.2, Inf] 0.6504663 0.5258560 0.8606818
aou + silicate Indian (-Inf,26] 0.8636512 0.7291378 0.9862680
aou + silicate Indian (26,26.5] 0.9236786 0.8807018 0.9752458
aou + silicate Indian (26.5,26.75] 0.9523890 0.9139678 0.9798159
aou + silicate Indian (26.75,27] 0.9730124 0.9463242 0.9943126
aou + silicate Indian (27,27.25] 0.9689051 0.9471167 0.9878530
aou + silicate Indian (27.25,27.5] 0.9566122 0.9511615 0.9651547
aou + silicate Indian (27.5,27.75] 0.9483163 0.9408431 0.9571583
aou + silicate Indian (27.75,27.85] 0.9782949 0.9682668 0.9847437
aou + silicate Indian (27.85,27.95] 0.9760030 0.9623159 0.9829813
aou + silicate Indian (27.95,28.05] 0.9655095 0.9365455 0.9803721
aou + silicate Indian (28.05,28.1] 0.9662833 0.9376082 0.9850652
aou + silicate Indian (28.1, Inf] 0.6541569 0.5661812 0.6990659
aou + silicate Pacific (-Inf,26] 0.7975561 0.7370338 0.8651718
aou + silicate Pacific (26,26.5] 0.7808271 0.7113594 0.8373399
aou + silicate Pacific (26.5,26.75] 0.7198299 0.6379633 0.7883500
aou + silicate Pacific (26.75,27] 0.7942137 0.7223821 0.8515829
aou + silicate Pacific (27,27.25] 0.8933505 0.8664432 0.9346136
aou + silicate Pacific (27.25,27.5] 0.9238331 0.9048969 0.9539628
aou + silicate Pacific (27.5,27.75] 0.9394128 0.9240485 0.9616066
aou + silicate Pacific (27.75,27.85] 0.9611210 0.9535517 0.9757537
aou + silicate Pacific (27.85,27.95] 0.9699608 0.9566877 0.9808957
aou + silicate Pacific (27.95,28.05] 0.9788143 0.9642487 0.9884654
aou + silicate Pacific (28.05,28.1] 0.9905918 0.9848479 0.9942253
aou + silicate Pacific (28.1, Inf] 0.8670447 0.8520830 0.8763787
nitrate + phosphate Atlantic (-Inf,26] 0.5312160 0.1782070 0.8842251
nitrate + phosphate Atlantic (26,26.5] 0.8085594 0.7040927 0.9861712
nitrate + phosphate Atlantic (26.5,26.75] 0.9520686 0.9191009 0.9957548
nitrate + phosphate Atlantic (26.75,27] 0.9747765 0.9700145 0.9783517
nitrate + phosphate Atlantic (27,27.25] 0.9838183 0.9815681 0.9863792
nitrate + phosphate Atlantic (27.25,27.5] 0.9908583 0.9872502 0.9939364
nitrate + phosphate Atlantic (27.5,27.75] 0.9953720 0.9947324 0.9961978
nitrate + phosphate Atlantic (27.75,27.85] 0.9984504 0.9981140 0.9990183
nitrate + phosphate Atlantic (27.85,27.95] 0.9989389 0.9986480 0.9994593
nitrate + phosphate Atlantic (27.95,28.05] 0.9992539 0.9987831 0.9995573
nitrate + phosphate Atlantic (28.05,28.1] 0.9996390 0.9994601 0.9997887
nitrate + phosphate Atlantic (28.1,28.15] 0.9994927 0.9992831 0.9996977
nitrate + phosphate Atlantic (28.15,28.2] 0.9970378 0.9959606 0.9979578
nitrate + phosphate Atlantic (28.2, Inf] 0.9935555 0.9930431 0.9940317
nitrate + phosphate Indian (-Inf,26] 0.9612510 0.9347477 0.9986129
nitrate + phosphate Indian (26,26.5] 0.8891508 0.7673596 0.9978146
nitrate + phosphate Indian (26.5,26.75] 0.9449191 0.8854742 0.9986314
nitrate + phosphate Indian (26.75,27] 0.9582296 0.9054496 0.9996085
nitrate + phosphate Indian (27,27.25] 0.9814850 0.9696552 0.9995205
nitrate + phosphate Indian (27.25,27.5] 0.9825576 0.9596277 0.9996323
nitrate + phosphate Indian (27.5,27.75] 0.9919870 0.9797619 0.9991984
nitrate + phosphate Indian (27.75,27.85] 0.9940039 0.9834866 0.9993317
nitrate + phosphate Indian (27.85,27.95] 0.9978244 0.9949295 0.9995648
nitrate + phosphate Indian (27.95,28.05] 0.9981729 0.9956834 0.9995276
nitrate + phosphate Indian (28.05,28.1] 0.9989259 0.9983067 0.9993278
nitrate + phosphate Indian (28.1, Inf] 0.9881705 0.9815043 0.9926791
nitrate + phosphate Pacific (-Inf,26] 0.9819339 0.9769776 0.9864427
nitrate + phosphate Pacific (26,26.5] 0.9352509 0.9187134 0.9515212
nitrate + phosphate Pacific (26.5,26.75] 0.8971168 0.8872498 0.9132342
nitrate + phosphate Pacific (26.75,27] 0.8893233 0.8594848 0.9486291
nitrate + phosphate Pacific (27,27.25] 0.9131193 0.8646315 0.9592829
nitrate + phosphate Pacific (27.25,27.5] 0.9354078 0.8946795 0.9578887
nitrate + phosphate Pacific (27.5,27.75] 0.9695426 0.9461459 0.9846884
nitrate + phosphate Pacific (27.75,27.85] 0.9870480 0.9794934 0.9928170
nitrate + phosphate Pacific (27.85,27.95] 0.9909874 0.9816305 0.9975077
nitrate + phosphate Pacific (27.95,28.05] 0.9994335 0.9990710 0.9996667
nitrate + phosphate Pacific (28.05,28.1] 0.9995063 0.9992970 0.9996789
nitrate + phosphate Pacific (28.1, Inf] 0.9983518 0.9982419 0.9984933
nitrate + phosphate_star Atlantic (-Inf,26] 0.2090337 0.0796168 0.3384507
nitrate + phosphate_star Atlantic (26,26.5] 0.4647466 0.1862508 0.9405968
nitrate + phosphate_star Atlantic (26.5,26.75] 0.4373819 0.1897066 0.9011858
nitrate + phosphate_star Atlantic (26.75,27] 0.0065316 -0.0501570 0.1009571
nitrate + phosphate_star Atlantic (27,27.25] 0.1604056 -0.0772352 0.2944745
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3620980 0.3190826 0.4014181
nitrate + phosphate_star Atlantic (27.5,27.75] 0.6774994 0.6592104 0.6877566
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8579114 0.8362199 0.9007911
nitrate + phosphate_star Atlantic (27.85,27.95] 0.9002826 0.8854689 0.9130209
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9402731 0.9331144 0.9455332
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9719270 0.9631842 0.9772197
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9781847 0.9750751 0.9818328
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9826868 0.9798862 0.9848929
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9684011 0.9595406 0.9790465
nitrate + phosphate_star Indian (-Inf,26] 0.8619537 0.7958078 0.9831354
nitrate + phosphate_star Indian (26,26.5] 0.7308514 0.4881282 0.9728384
nitrate + phosphate_star Indian (26.5,26.75] 0.7386829 0.6343057 0.8982014
nitrate + phosphate_star Indian (26.75,27] 0.5958647 0.5324843 0.6941395
nitrate + phosphate_star Indian (27,27.25] 0.4513224 0.3639138 0.5160443
nitrate + phosphate_star Indian (27.25,27.5] -0.0662953 -0.1209618 -0.0160847
nitrate + phosphate_star Indian (27.5,27.75] -0.3515418 -0.4255331 -0.2214561
nitrate + phosphate_star Indian (27.75,27.85] -0.7413131 -0.8297594 -0.5878951
nitrate + phosphate_star Indian (27.85,27.95] -0.6794783 -0.7377196 -0.5874389
nitrate + phosphate_star Indian (27.95,28.05] -0.4620438 -0.5119371 -0.4063360
nitrate + phosphate_star Indian (28.05,28.1] -0.3735024 -0.4731115 -0.3120632
nitrate + phosphate_star Indian (28.1, Inf] -0.4123162 -0.4852388 -0.2734866
nitrate + phosphate_star Pacific (-Inf,26] 0.7421656 0.6595233 0.7835897
nitrate + phosphate_star Pacific (26,26.5] 0.6938236 0.6450087 0.7224178
nitrate + phosphate_star Pacific (26.5,26.75] 0.5561323 0.4999989 0.6646908
nitrate + phosphate_star Pacific (26.75,27] 0.6787768 0.5914002 0.7531313
nitrate + phosphate_star Pacific (27,27.25] 0.7522914 0.7371316 0.7705904
nitrate + phosphate_star Pacific (27.25,27.5] 0.6379964 0.5961290 0.7054230
nitrate + phosphate_star Pacific (27.5,27.75] 0.2265597 0.1492866 0.3288962
nitrate + phosphate_star Pacific (27.75,27.85] -0.1155245 -0.2387280 0.0729342
nitrate + phosphate_star Pacific (27.85,27.95] -0.2530444 -0.4812858 0.0119340
nitrate + phosphate_star Pacific (27.95,28.05] -0.3619601 -0.6541521 -0.1006400
nitrate + phosphate_star Pacific (28.05,28.1] -0.1851218 -0.4845803 0.2091510
nitrate + phosphate_star Pacific (28.1, Inf] -0.4799452 -0.5458764 -0.3934673
nitrate + silicate Atlantic (-Inf,26] 0.6393617 0.5198502 0.7588733
nitrate + silicate Atlantic (26,26.5] 0.7598237 0.6163665 0.9789263
nitrate + silicate Atlantic (26.5,26.75] 0.7998921 0.6970189 0.9913649
nitrate + silicate Atlantic (26.75,27] 0.8492117 0.8354339 0.8727863
nitrate + silicate Atlantic (27,27.25] 0.7514637 0.6606421 0.8112319
nitrate + silicate Atlantic (27.25,27.5] 0.8397821 0.8199522 0.8694881
nitrate + silicate Atlantic (27.5,27.75] 0.8848508 0.8640540 0.9145687
nitrate + silicate Atlantic (27.75,27.85] 0.9083939 0.8834354 0.9311250
nitrate + silicate Atlantic (27.85,27.95] 0.9257426 0.8855581 0.9523597
nitrate + silicate Atlantic (27.95,28.05] 0.9342230 0.8983331 0.9616378
nitrate + silicate Atlantic (28.05,28.1] 0.9624364 0.9463005 0.9819506
nitrate + silicate Atlantic (28.1,28.15] 0.9731766 0.9622198 0.9859676
nitrate + silicate Atlantic (28.15,28.2] 0.9481003 0.9390086 0.9588966
nitrate + silicate Atlantic (28.2, Inf] 0.8074569 0.7611962 0.8541288
nitrate + silicate Indian (-Inf,26] 0.8569587 0.7686952 0.9939630
nitrate + silicate Indian (26,26.5] 0.8308524 0.7003983 0.9907454
nitrate + silicate Indian (26.5,26.75] 0.9041373 0.8371548 0.9892142
nitrate + silicate Indian (26.75,27] 0.9355540 0.8797313 0.9933484
nitrate + silicate Indian (27,27.25] 0.9751248 0.9590471 0.9967439
nitrate + silicate Indian (27.25,27.5] 0.9806746 0.9606269 0.9958025
nitrate + silicate Indian (27.5,27.75] 0.9863547 0.9796522 0.9919193
nitrate + silicate Indian (27.75,27.85] 0.9902062 0.9813559 0.9961333
nitrate + silicate Indian (27.85,27.95] 0.9926288 0.9886971 0.9962481
nitrate + silicate Indian (27.95,28.05] 0.9882202 0.9864396 0.9891853
nitrate + silicate Indian (28.05,28.1] 0.9889139 0.9856085 0.9909039
nitrate + silicate Indian (28.1, Inf] 0.6924285 0.6491325 0.7198475
nitrate + silicate Pacific (-Inf,26] 0.9150950 0.8906501 0.9436635
nitrate + silicate Pacific (26,26.5] 0.9226705 0.9106378 0.9460062
nitrate + silicate Pacific (26.5,26.75] 0.8862383 0.8705471 0.8986173
nitrate + silicate Pacific (26.75,27] 0.9095830 0.9080459 0.9115240
nitrate + silicate Pacific (27,27.25] 0.9389226 0.9213377 0.9513815
nitrate + silicate Pacific (27.25,27.5] 0.9536854 0.9390825 0.9643051
nitrate + silicate Pacific (27.5,27.75] 0.9652544 0.9516286 0.9784693
nitrate + silicate Pacific (27.75,27.85] 0.9776851 0.9577595 0.9878316
nitrate + silicate Pacific (27.85,27.95] 0.9741912 0.9518927 0.9865280
nitrate + silicate Pacific (27.95,28.05] 0.9779769 0.9567702 0.9905363
nitrate + silicate Pacific (28.05,28.1] 0.9871109 0.9780964 0.9923392
nitrate + silicate Pacific (28.1, Inf] 0.8523601 0.8432224 0.8624842
phosphate + phosphate_star Atlantic (-Inf,26] 0.3664916 0.1663615 0.5666217
phosphate + phosphate_star Atlantic (26,26.5] 0.8016301 0.6761316 0.9790620
phosphate + phosphate_star Atlantic (26.5,26.75] 0.6300733 0.4754222 0.9193541
phosphate + phosphate_star Atlantic (26.75,27] 0.1867533 0.1233900 0.3115624
phosphate + phosphate_star Atlantic (27,27.25] 0.3081321 0.0849353 0.4544441
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4723431 0.4533760 0.4903501
phosphate + phosphate_star Atlantic (27.5,27.75] 0.7384830 0.7175301 0.7503584
phosphate + phosphate_star Atlantic (27.75,27.85] 0.8832294 0.8658414 0.9178540
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9160021 0.9063275 0.9236091
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9487440 0.9459559 0.9509597
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9757556 0.9678362 0.9801803
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9817723 0.9776405 0.9854387
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9860748 0.9829986 0.9900762
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9814348 0.9770969 0.9843930
phosphate + phosphate_star Indian (-Inf,26] 0.9262611 0.8852171 0.9860107
phosphate + phosphate_star Indian (26,26.5] 0.8738243 0.8219038 0.9692174
phosphate + phosphate_star Indian (26.5,26.75] 0.7966872 0.7089193 0.8943750
phosphate + phosphate_star Indian (26.75,27] 0.6278992 0.5351223 0.6890670
phosphate + phosphate_star Indian (27,27.25] 0.4493021 0.3662230 0.5152869
phosphate + phosphate_star Indian (27.25,27.5] -0.0714043 -0.1266768 -0.0241570
phosphate + phosphate_star Indian (27.5,27.75] -0.3651203 -0.4298935 -0.2456537
phosphate + phosphate_star Indian (27.75,27.85] -0.7275011 -0.8149133 -0.5738873
phosphate + phosphate_star Indian (27.85,27.95] -0.6669328 -0.7355575 -0.5630051
phosphate + phosphate_star Indian (27.95,28.05] -0.4549662 -0.5118478 -0.4071354
phosphate + phosphate_star Indian (28.05,28.1] -0.3702087 -0.4601053 -0.3130301
phosphate + phosphate_star Indian (28.1, Inf] -0.3686639 -0.4560939 -0.2417689
phosphate + phosphate_star Pacific (-Inf,26] 0.7488867 0.6971750 0.7772153
phosphate + phosphate_star Pacific (26,26.5] 0.7001359 0.6732652 0.7328988
phosphate + phosphate_star Pacific (26.5,26.75] 0.5413577 0.4313379 0.6804869
phosphate + phosphate_star Pacific (26.75,27] 0.6939968 0.5663387 0.7904335
phosphate + phosphate_star Pacific (27,27.25] 0.7900585 0.7536978 0.8097643
phosphate + phosphate_star Pacific (27.25,27.5] 0.6808137 0.6573650 0.7074251
phosphate + phosphate_star Pacific (27.5,27.75] 0.2312055 0.1553705 0.3322960
phosphate + phosphate_star Pacific (27.75,27.85] -0.1450906 -0.2532759 -0.0070271
phosphate + phosphate_star Pacific (27.85,27.95] -0.2777462 -0.4878882 0.0066428
phosphate + phosphate_star Pacific (27.95,28.05] -0.3666307 -0.6522453 -0.1128326
phosphate + phosphate_star Pacific (28.05,28.1] -0.1911623 -0.4861577 0.2010772
phosphate + phosphate_star Pacific (28.1, Inf] -0.4827530 -0.5539020 -0.3918109
sal + aou Atlantic (-Inf,26] -0.3204178 -0.3994769 -0.2413586
sal + aou Atlantic (26,26.5] -0.4783407 -0.8531464 -0.2192672
sal + aou Atlantic (26.5,26.75] -0.0566807 -0.6224283 0.2452195
sal + aou Atlantic (26.75,27] 0.4942107 0.3068334 0.6085418
sal + aou Atlantic (27,27.25] 0.4436801 0.2562087 0.6635816
sal + aou Atlantic (27.25,27.5] 0.5718825 0.4706042 0.6628792
sal + aou Atlantic (27.5,27.75] 0.5626389 0.4705841 0.7073681
sal + aou Atlantic (27.75,27.85] 0.3888718 0.2929205 0.4418724
sal + aou Atlantic (27.85,27.95] 0.2020083 0.1682881 0.2241345
sal + aou Atlantic (27.95,28.05] -0.1903385 -0.2021761 -0.1828784
sal + aou Atlantic (28.05,28.1] -0.7190132 -0.7516561 -0.6626590
sal + aou Atlantic (28.1,28.15] -0.8559950 -0.8913566 -0.8157769
sal + aou Atlantic (28.15,28.2] -0.8754586 -0.9205737 -0.8511678
sal + aou Atlantic (28.2, Inf] -0.8823846 -0.9204041 -0.8548853
sal + aou Indian (-Inf,26] -0.5238748 -0.9391051 0.1112206
sal + aou Indian (26,26.5] -0.7174491 -0.9615270 -0.4162851
sal + aou Indian (26.5,26.75] -0.6388129 -0.9038035 -0.4393532
sal + aou Indian (26.75,27] -0.4167224 -0.7287837 -0.2136940
sal + aou Indian (27,27.25] -0.0836237 -0.4550185 0.1333956
sal + aou Indian (27.25,27.5] 0.6492884 0.5801105 0.7323362
sal + aou Indian (27.5,27.75] 0.8740182 0.8301933 0.9093863
sal + aou Indian (27.75,27.85] 0.9748992 0.9547958 0.9870864
sal + aou Indian (27.85,27.95] 0.9713277 0.9576438 0.9827304
sal + aou Indian (27.95,28.05] 0.9603614 0.9537356 0.9725814
sal + aou Indian (28.05,28.1] 0.9498199 0.9417696 0.9616314
sal + aou Indian (28.1, Inf] 0.7236657 0.6703144 0.7592363
sal + aou Pacific (-Inf,26] -0.2294854 -0.2754026 -0.1819978
sal + aou Pacific (26,26.5] -0.3016810 -0.3778504 -0.2503899
sal + aou Pacific (26.5,26.75] -0.0121141 -0.2761369 0.2246804
sal + aou Pacific (26.75,27] -0.1536310 -0.3494416 0.1126212
sal + aou Pacific (27,27.25] -0.5457433 -0.6439671 -0.4482218
sal + aou Pacific (27.25,27.5] -0.5803887 -0.6648055 -0.4433111
sal + aou Pacific (27.5,27.75] -0.1302103 -0.2210897 -0.0304699
sal + aou Pacific (27.75,27.85] 0.3637433 0.3182980 0.4068623
sal + aou Pacific (27.85,27.95] 0.6383394 0.6010566 0.7127998
sal + aou Pacific (27.95,28.05] 0.8634347 0.8083414 0.9087623
sal + aou Pacific (28.05,28.1] 0.9315526 0.9190338 0.9383861
sal + aou Pacific (28.1, Inf] 0.4304201 0.3879617 0.5002003
sal + nitrate Atlantic (-Inf,26] -0.7546064 -0.8205875 -0.6886253
sal + nitrate Atlantic (26,26.5] -0.5121411 -0.8996957 -0.2605841
sal + nitrate Atlantic (26.5,26.75] -0.1647652 -0.7938955 0.1604415
sal + nitrate Atlantic (26.75,27] 0.4667639 0.2882587 0.5777858
sal + nitrate Atlantic (27,27.25] 0.3035286 0.1199041 0.5258819
sal + nitrate Atlantic (27.25,27.5] 0.4402242 0.3405527 0.5194685
sal + nitrate Atlantic (27.5,27.75] 0.3405238 0.1433109 0.5911489
sal + nitrate Atlantic (27.75,27.85] -0.1934319 -0.3203870 -0.1279804
sal + nitrate Atlantic (27.85,27.95] -0.4266939 -0.5763929 -0.3304256
sal + nitrate Atlantic (27.95,28.05] -0.5957523 -0.7580460 -0.4968374
sal + nitrate Atlantic (28.05,28.1] -0.8729908 -0.9281261 -0.8296721
sal + nitrate Atlantic (28.1,28.15] -0.9423524 -0.9536346 -0.9317309
sal + nitrate Atlantic (28.15,28.2] -0.9357800 -0.9538010 -0.9082763
sal + nitrate Atlantic (28.2, Inf] -0.9428290 -0.9569918 -0.9261285
sal + nitrate Indian (-Inf,26] -0.5184249 -0.9389710 0.0950621
sal + nitrate Indian (26,26.5] -0.7682401 -0.9861103 -0.4816689
sal + nitrate Indian (26.5,26.75] -0.7476423 -0.9470580 -0.5576687
sal + nitrate Indian (26.75,27] -0.5819981 -0.8154293 -0.4051198
sal + nitrate Indian (27,27.25] -0.2825301 -0.5954544 -0.0902667
sal + nitrate Indian (27.25,27.5] 0.4222903 0.3444259 0.5396235
sal + nitrate Indian (27.5,27.75] 0.7180812 0.6385371 0.8014156
sal + nitrate Indian (27.75,27.85] 0.9342290 0.8830192 0.9631520
sal + nitrate Indian (27.85,27.95] 0.9237412 0.8740006 0.9621098
sal + nitrate Indian (27.95,28.05] 0.9056789 0.8737855 0.9431417
sal + nitrate Indian (28.05,28.1] 0.8835486 0.8563512 0.9221290
sal + nitrate Indian (28.1, Inf] 0.6274602 0.5790624 0.6711590
sal + nitrate Pacific (-Inf,26] -0.4297184 -0.4684408 -0.3806318
sal + nitrate Pacific (26,26.5] -0.5504454 -0.6033126 -0.4460872
sal + nitrate Pacific (26.5,26.75] -0.2751834 -0.4967814 0.0276370
sal + nitrate Pacific (26.75,27] -0.3700002 -0.5608621 -0.0052655
sal + nitrate Pacific (27,27.25] -0.6169449 -0.7266699 -0.4287796
sal + nitrate Pacific (27.25,27.5] -0.5830905 -0.7452183 -0.3510142
sal + nitrate Pacific (27.5,27.75] -0.0547493 -0.2397212 0.1686256
sal + nitrate Pacific (27.75,27.85] 0.4646790 0.2970931 0.5937579
sal + nitrate Pacific (27.85,27.95] 0.7084587 0.6094498 0.7704624
sal + nitrate Pacific (27.95,28.05] 0.8563916 0.8133532 0.8904607
sal + nitrate Pacific (28.05,28.1] 0.9176811 0.9074198 0.9289325
sal + nitrate Pacific (28.1, Inf] 0.3942657 0.3586213 0.4628883
sal + phosphate Atlantic (-Inf,26] -0.1142834 -0.3269080 0.0983411
sal + phosphate Atlantic (26,26.5] -0.6687053 -0.9476169 -0.4932178
sal + phosphate Atlantic (26.5,26.75] -0.3466665 -0.8158702 -0.0757684
sal + phosphate Atlantic (26.75,27] 0.3274259 0.1049054 0.4536990
sal + phosphate Atlantic (27,27.25] 0.1682333 -0.0346937 0.3893519
sal + phosphate Atlantic (27.25,27.5] 0.3290786 0.2266075 0.4349773
sal + phosphate Atlantic (27.5,27.75] 0.2624294 0.0551169 0.5181843
sal + phosphate Atlantic (27.75,27.85] -0.2384844 -0.3680020 -0.1661803
sal + phosphate Atlantic (27.85,27.95] -0.4584981 -0.6058681 -0.3556585
sal + phosphate Atlantic (27.95,28.05] -0.6099509 -0.7652323 -0.5097947
sal + phosphate Atlantic (28.05,28.1] -0.8810712 -0.9312897 -0.8386271
sal + phosphate Atlantic (28.1,28.15] -0.9459196 -0.9551028 -0.9370812
sal + phosphate Atlantic (28.15,28.2] -0.9156441 -0.9388487 -0.8793491
sal + phosphate Atlantic (28.2, Inf] -0.9083260 -0.9237634 -0.8868130
sal + phosphate Indian (-Inf,26] -0.5879882 -0.9428072 -0.0264699
sal + phosphate Indian (26,26.5] -0.7672980 -0.9825979 -0.4709295
sal + phosphate Indian (26.5,26.75] -0.7144415 -0.9407798 -0.5177028
sal + phosphate Indian (26.75,27] -0.5382815 -0.8130422 -0.3288298
sal + phosphate Indian (27,27.25] -0.2497868 -0.5939351 -0.0638071
sal + phosphate Indian (27.25,27.5] 0.4432877 0.3497828 0.5894639
sal + phosphate Indian (27.5,27.75] 0.7311186 0.6523522 0.8165521
sal + phosphate Indian (27.75,27.85] 0.9323089 0.8757828 0.9641281
sal + phosphate Indian (27.85,27.95] 0.9194553 0.8619242 0.9659056
sal + phosphate Indian (27.95,28.05] 0.9064709 0.8675363 0.9482281
sal + phosphate Indian (28.05,28.1] 0.8874903 0.8559433 0.9281621
sal + phosphate Indian (28.1, Inf] 0.7023557 0.6413389 0.7644497
sal + phosphate Pacific (-Inf,26] -0.3902245 -0.4433432 -0.3236638
sal + phosphate Pacific (26,26.5] -0.4791331 -0.5704768 -0.3497595
sal + phosphate Pacific (26.5,26.75] -0.1530971 -0.4100804 0.1820941
sal + phosphate Pacific (26.75,27] -0.2432189 -0.4857039 0.1976234
sal + phosphate Pacific (27,27.25] -0.5385150 -0.6703169 -0.2908023
sal + phosphate Pacific (27.25,27.5] -0.5287031 -0.6734066 -0.2910489
sal + phosphate Pacific (27.5,27.75] -0.0605712 -0.2286205 0.1443171
sal + phosphate Pacific (27.75,27.85] 0.4168384 0.3229153 0.4807331
sal + phosphate Pacific (27.85,27.95] 0.6600099 0.6166508 0.7060321
sal + phosphate Pacific (27.95,28.05] 0.8530614 0.8096498 0.8876097
sal + phosphate Pacific (28.05,28.1] 0.9192157 0.9084462 0.9319425
sal + phosphate Pacific (28.1, Inf] 0.4258906 0.3875710 0.4952038
sal + phosphate_star Atlantic (-Inf,26] -0.2720794 -0.3974519 -0.1467068
sal + phosphate_star Atlantic (26,26.5] -0.8580786 -0.9792498 -0.7662047
sal + phosphate_star Atlantic (26.5,26.75] -0.8790001 -0.9612569 -0.8377343
sal + phosphate_star Atlantic (26.75,27] -0.7181413 -0.7572113 -0.6974363
sal + phosphate_star Atlantic (27,27.25] -0.7732933 -0.8318105 -0.7323443
sal + phosphate_star Atlantic (27.25,27.5] -0.5563329 -0.6112252 -0.4735627
sal + phosphate_star Atlantic (27.5,27.75] -0.3171658 -0.4833084 -0.0949036
sal + phosphate_star Atlantic (27.75,27.85] -0.5957162 -0.7171250 -0.4939222
sal + phosphate_star Atlantic (27.85,27.95] -0.7299653 -0.8325706 -0.6420408
sal + phosphate_star Atlantic (27.95,28.05] -0.7773382 -0.8940378 -0.6969602
sal + phosphate_star Atlantic (28.05,28.1] -0.9467983 -0.9743156 -0.9305827
sal + phosphate_star Atlantic (28.1,28.15] -0.9745387 -0.9798802 -0.9659516
sal + phosphate_star Atlantic (28.15,28.2] -0.9345205 -0.9582777 -0.8926780
sal + phosphate_star Atlantic (28.2, Inf] -0.8911064 -0.9228341 -0.8622036
sal + phosphate_star Indian (-Inf,26] -0.6709220 -0.9003261 -0.3074856
sal + phosphate_star Indian (26,26.5] -0.8490386 -0.9834342 -0.6476322
sal + phosphate_star Indian (26.5,26.75] -0.8949255 -0.9775449 -0.7828489
sal + phosphate_star Indian (26.75,27] -0.8973281 -0.9637117 -0.7936362
sal + phosphate_star Indian (27,27.25] -0.9138859 -0.9688761 -0.8506947
sal + phosphate_star Indian (27.25,27.5] -0.8960268 -0.9623460 -0.8088325
sal + phosphate_star Indian (27.5,27.75] -0.8897022 -0.9236187 -0.8620802
sal + phosphate_star Indian (27.75,27.85] -0.9160129 -0.9428275 -0.8876137
sal + phosphate_star Indian (27.85,27.95] -0.8855029 -0.8999915 -0.8641547
sal + phosphate_star Indian (27.95,28.05] -0.7343702 -0.7756473 -0.7127438
sal + phosphate_star Indian (28.05,28.1] -0.6808938 -0.7879692 -0.6035484
sal + phosphate_star Indian (28.1, Inf] -0.4751655 -0.5870658 -0.3860334
sal + phosphate_star Pacific (-Inf,26] -0.7045113 -0.8354764 -0.5876431
sal + phosphate_star Pacific (26,26.5] -0.8376110 -0.9028563 -0.7112231
sal + phosphate_star Pacific (26.5,26.75] -0.7500492 -0.9319090 -0.4581448
sal + phosphate_star Pacific (26.75,27] -0.6258828 -0.9420841 -0.1497469
sal + phosphate_star Pacific (27,27.25] -0.6756766 -0.9258123 -0.2886564
sal + phosphate_star Pacific (27.25,27.5] -0.4113068 -0.6790421 -0.0071579
sal + phosphate_star Pacific (27.5,27.75] 0.0372857 -0.3577769 0.4995786
sal + phosphate_star Pacific (27.75,27.85] -0.1002216 -0.4960356 0.3573038
sal + phosphate_star Pacific (27.85,27.95] -0.3039883 -0.6404010 -0.0922323
sal + phosphate_star Pacific (27.95,28.05] -0.5318915 -0.8443022 -0.2195026
sal + phosphate_star Pacific (28.05,28.1] -0.4186232 -0.7302297 -0.0169587
sal + phosphate_star Pacific (28.1, Inf] -0.3600026 -0.4824447 -0.2040711
sal + silicate Atlantic (-Inf,26] -0.8561457 -0.9222475 -0.7900439
sal + silicate Atlantic (26,26.5] -0.2154679 -0.8357616 0.1765147
sal + silicate Atlantic (26.5,26.75] -0.0573898 -0.7873285 0.3316367
sal + silicate Atlantic (26.75,27] 0.2430778 0.1729453 0.3496892
sal + silicate Atlantic (27,27.25] -0.1828220 -0.1900250 -0.1717058
sal + silicate Atlantic (27.25,27.5] 0.1214060 0.0325742 0.1989200
sal + silicate Atlantic (27.5,27.75] 0.0507890 -0.1548584 0.3179770
sal + silicate Atlantic (27.75,27.85] -0.4967278 -0.5766301 -0.4273043
sal + silicate Atlantic (27.85,27.95] -0.6758897 -0.7623220 -0.5623866
sal + silicate Atlantic (27.95,28.05] -0.7738357 -0.8442100 -0.6924272
sal + silicate Atlantic (28.05,28.1] -0.9420287 -0.9526872 -0.9248407
sal + silicate Atlantic (28.1,28.15] -0.9522545 -0.9539223 -0.9505304
sal + silicate Atlantic (28.15,28.2] -0.8155408 -0.8480191 -0.7623203
sal + silicate Atlantic (28.2, Inf] -0.6182473 -0.7023908 -0.5265288
sal + silicate Indian (-Inf,26] -0.7503771 -0.9374950 -0.4346934
sal + silicate Indian (26,26.5] -0.7933140 -0.9850611 -0.5751213
sal + silicate Indian (26.5,26.75] -0.7084259 -0.9371091 -0.5856369
sal + silicate Indian (26.75,27] -0.4978263 -0.7633741 -0.3517097
sal + silicate Indian (27,27.25] -0.2650074 -0.5607144 -0.0400083
sal + silicate Indian (27.25,27.5] 0.4464194 0.3731357 0.5487777
sal + silicate Indian (27.5,27.75] 0.7128730 0.6436371 0.7905095
sal + silicate Indian (27.75,27.85] 0.9258480 0.8707297 0.9632033
sal + silicate Indian (27.85,27.95] 0.9164955 0.8623335 0.9613125
sal + silicate Indian (27.95,28.05] 0.9168753 0.8799135 0.9540991
sal + silicate Indian (28.05,28.1] 0.9240258 0.9043352 0.9526289
sal + silicate Indian (28.1, Inf] 0.8984048 0.8877134 0.9038231
sal + silicate Pacific (-Inf,26] -0.6219436 -0.6730588 -0.5246016
sal + silicate Pacific (26,26.5] -0.6403419 -0.6969373 -0.5581719
sal + silicate Pacific (26.5,26.75] -0.4786982 -0.6543827 -0.1795279
sal + silicate Pacific (26.75,27] -0.4632663 -0.6941955 -0.0902731
sal + silicate Pacific (27,27.25] -0.6282963 -0.7512380 -0.4105139
sal + silicate Pacific (27.25,27.5] -0.6237050 -0.8191634 -0.3625271
sal + silicate Pacific (27.5,27.75] -0.1280741 -0.4005686 0.1545218
sal + silicate Pacific (27.75,27.85] 0.3800366 0.1529143 0.5330037
sal + silicate Pacific (27.85,27.95] 0.6418881 0.5218993 0.7075683
sal + silicate Pacific (27.95,28.05] 0.8517277 0.7857705 0.8935151
sal + silicate Pacific (28.05,28.1] 0.9191540 0.8988073 0.9411431
sal + silicate Pacific (28.1, Inf] 0.7722643 0.7400151 0.7993302
sal + temp Atlantic (-Inf,26] 0.8083028 0.7461379 0.8704676
sal + temp Atlantic (26,26.5] 0.9526948 0.9211262 0.9870275
sal + temp Atlantic (26.5,26.75] 0.9798396 0.9719448 0.9905630
sal + temp Atlantic (26.75,27] 0.9752589 0.9645813 0.9823861
sal + temp Atlantic (27,27.25] 0.9622755 0.9507564 0.9702431
sal + temp Atlantic (27.25,27.5] 0.9817821 0.9741280 0.9878092
sal + temp Atlantic (27.5,27.75] 0.9667927 0.9622133 0.9727364
sal + temp Atlantic (27.75,27.85] 0.9693550 0.9611117 0.9763294
sal + temp Atlantic (27.85,27.95] 0.9673373 0.9625349 0.9738680
sal + temp Atlantic (27.95,28.05] 0.9511064 0.9390323 0.9716430
sal + temp Atlantic (28.05,28.1] 0.9649221 0.9471342 0.9803727
sal + temp Atlantic (28.1,28.15] 0.9579347 0.9475860 0.9739807
sal + temp Atlantic (28.15,28.2] 0.9424011 0.9144874 0.9727348
sal + temp Atlantic (28.2, Inf] 0.9409074 0.9235060 0.9555321
sal + temp Indian (-Inf,26] 0.2665145 -0.2718546 0.6422465
sal + temp Indian (26,26.5] 0.8817099 0.8194336 0.9386971
sal + temp Indian (26.5,26.75] 0.9197499 0.9047754 0.9300600
sal + temp Indian (26.75,27] 0.8994359 0.8936754 0.9106526
sal + temp Indian (27,27.25] 0.9083461 0.8800211 0.9231042
sal + temp Indian (27.25,27.5] 0.9305754 0.9104482 0.9478195
sal + temp Indian (27.5,27.75] 0.9080415 0.8991075 0.9132125
sal + temp Indian (27.75,27.85] 0.9601324 0.9538924 0.9652756
sal + temp Indian (27.85,27.95] 0.9542474 0.9492055 0.9613218
sal + temp Indian (27.95,28.05] 0.9141136 0.8983288 0.9252606
sal + temp Indian (28.05,28.1] 0.9450973 0.9289866 0.9551844
sal + temp Indian (28.1, Inf] 0.6367986 0.5832317 0.6671478
sal + temp Pacific (-Inf,26] 0.8161123 0.7358887 0.9295130
sal + temp Pacific (26,26.5] 0.9403793 0.9071353 0.9572604
sal + temp Pacific (26.5,26.75] 0.9778298 0.9709979 0.9821745
sal + temp Pacific (26.75,27] 0.9793150 0.9786043 0.9802956
sal + temp Pacific (27,27.25] 0.9747809 0.9710293 0.9771481
sal + temp Pacific (27.25,27.5] 0.8978300 0.8878414 0.9062567
sal + temp Pacific (27.5,27.75] 0.7234158 0.6619412 0.8073340
sal + temp Pacific (27.75,27.85] 0.8958016 0.8226995 0.9531380
sal + temp Pacific (27.85,27.95] 0.8452017 0.6873019 0.9348557
sal + temp Pacific (27.95,28.05] 0.8371578 0.7364381 0.9362921
sal + temp Pacific (28.05,28.1] 0.9268836 0.9103029 0.9481852
sal + temp Pacific (28.1, Inf] 0.5017792 0.4525851 0.5528367
silicate + phosphate Atlantic (-Inf,26] -0.1970603 -0.4925249 0.0984044
silicate + phosphate Atlantic (26,26.5] 0.2965113 -0.1051566 0.9541628
silicate + phosphate Atlantic (26.5,26.75] 0.6451564 0.4232961 0.9894357
silicate + phosphate Atlantic (26.75,27] 0.8651635 0.8303741 0.9202074
silicate + phosphate Atlantic (27,27.25] 0.8239866 0.7596970 0.8739929
silicate + phosphate Atlantic (27.25,27.5] 0.8824400 0.8628239 0.9105392
silicate + phosphate Atlantic (27.5,27.75] 0.9169709 0.8966984 0.9417754
silicate + phosphate Atlantic (27.75,27.85] 0.9289656 0.9086807 0.9456616
silicate + phosphate Atlantic (27.85,27.95] 0.9406563 0.9077103 0.9611970
silicate + phosphate Atlantic (27.95,28.05] 0.9447455 0.9154096 0.9677473
silicate + phosphate Atlantic (28.05,28.1] 0.9688241 0.9558658 0.9851021
silicate + phosphate Atlantic (28.1,28.15] 0.9792528 0.9707562 0.9891228
silicate + phosphate Atlantic (28.15,28.2] 0.9676386 0.9634954 0.9736310
silicate + phosphate Atlantic (28.2, Inf] 0.8661580 0.8295180 0.9052449
silicate + phosphate Indian (-Inf,26] 0.9163300 0.8388627 0.9939320
silicate + phosphate Indian (26,26.5] 0.9504509 0.9318302 0.9849744
silicate + phosphate Indian (26.5,26.75] 0.9653806 0.9494876 0.9828077
silicate + phosphate Indian (26.75,27] 0.9778920 0.9673793 0.9935140
silicate + phosphate Indian (27,27.25] 0.9877094 0.9763964 0.9973912
silicate + phosphate Indian (27.25,27.5] 0.9880575 0.9825196 0.9954621
silicate + phosphate Indian (27.5,27.75] 0.9840986 0.9805951 0.9910194
silicate + phosphate Indian (27.75,27.85] 0.9917176 0.9866323 0.9967368
silicate + phosphate Indian (27.85,27.95] 0.9926488 0.9883569 0.9959835
silicate + phosphate Indian (27.95,28.05] 0.9898136 0.9877636 0.9911892
silicate + phosphate Indian (28.05,28.1] 0.9915250 0.9888309 0.9930047
silicate + phosphate Indian (28.1, Inf] 0.7850537 0.7757786 0.7915312
silicate + phosphate Pacific (-Inf,26] 0.9019174 0.8740224 0.9366218
silicate + phosphate Pacific (26,26.5] 0.8806316 0.8512794 0.9151383
silicate + phosphate Pacific (26.5,26.75] 0.8171592 0.7671762 0.8622925
silicate + phosphate Pacific (26.75,27] 0.8697425 0.8435871 0.8946605
silicate + phosphate Pacific (27,27.25] 0.9316193 0.9166124 0.9549176
silicate + phosphate Pacific (27.25,27.5] 0.9487542 0.9214014 0.9719662
silicate + phosphate Pacific (27.5,27.75] 0.9629938 0.9425400 0.9784747
silicate + phosphate Pacific (27.75,27.85] 0.9714782 0.9507631 0.9837828
silicate + phosphate Pacific (27.85,27.95] 0.9748368 0.9525292 0.9860607
silicate + phosphate Pacific (27.95,28.05] 0.9794648 0.9622438 0.9905718
silicate + phosphate Pacific (28.05,28.1] 0.9902090 0.9830162 0.9942310
silicate + phosphate Pacific (28.1, Inf] 0.8720037 0.8622891 0.8818717
silicate + phosphate_star Atlantic (-Inf,26] 0.0957067 -0.2851561 0.4765695
silicate + phosphate_star Atlantic (26,26.5] 0.0481670 -0.4124864 0.9014304
silicate + phosphate_star Atlantic (26.5,26.75] 0.2387167 -0.1612728 0.9060029
silicate + phosphate_star Atlantic (26.75,27] 0.2895962 0.2411847 0.3703195
silicate + phosphate_star Atlantic (27,27.25] 0.6814666 0.6209451 0.7366075
silicate + phosphate_star Atlantic (27.25,27.5] 0.7153497 0.6353392 0.7824184
silicate + phosphate_star Atlantic (27.5,27.75] 0.8883727 0.8851444 0.8906405
silicate + phosphate_star Atlantic (27.75,27.85] 0.9578494 0.9366129 0.9742625
silicate + phosphate_star Atlantic (27.85,27.95] 0.9660788 0.9555720 0.9726423
silicate + phosphate_star Atlantic (27.95,28.05] 0.9704196 0.9596353 0.9822745
silicate + phosphate_star Atlantic (28.05,28.1] 0.9767506 0.9711901 0.9827630
silicate + phosphate_star Atlantic (28.1,28.15] 0.9754273 0.9674730 0.9859278
silicate + phosphate_star Atlantic (28.15,28.2] 0.9490845 0.9403988 0.9599541
silicate + phosphate_star Atlantic (28.2, Inf] 0.8864124 0.8635126 0.9069375
silicate + phosphate_star Indian (-Inf,26] 0.9571842 0.9150094 0.9923189
silicate + phosphate_star Indian (26,26.5] 0.8825737 0.7942678 0.9642041
silicate + phosphate_star Indian (26.5,26.75] 0.7836012 0.6248054 0.8719441
silicate + phosphate_star Indian (26.75,27] 0.5783972 0.4182647 0.6839279
silicate + phosphate_star Indian (27,27.25] 0.4588264 0.3547741 0.5281242
silicate + phosphate_star Indian (27.25,27.5] -0.0637865 -0.1410316 -0.0101942
silicate + phosphate_star Indian (27.5,27.75] -0.3319476 -0.3911197 -0.2194728
silicate + phosphate_star Indian (27.75,27.85] -0.7153841 -0.7936035 -0.5611012
silicate + phosphate_star Indian (27.85,27.95] -0.6536886 -0.7134735 -0.5577372
silicate + phosphate_star Indian (27.95,28.05] -0.4468672 -0.4984473 -0.4097633
silicate + phosphate_star Indian (28.05,28.1] -0.4192748 -0.5158371 -0.3650175
silicate + phosphate_star Indian (28.1, Inf] -0.1512727 -0.2986958 -0.0433162
silicate + phosphate_star Pacific (-Inf,26] 0.8100769 0.7547821 0.8485860
silicate + phosphate_star Pacific (26,26.5] 0.7761561 0.7650737 0.7978678
silicate + phosphate_star Pacific (26.5,26.75] 0.7194074 0.6656957 0.8072518
silicate + phosphate_star Pacific (26.75,27] 0.7509691 0.7056829 0.8046729
silicate + phosphate_star Pacific (27,27.25] 0.8069844 0.8024183 0.8120404
silicate + phosphate_star Pacific (27.25,27.5] 0.7327035 0.7036671 0.7726974
silicate + phosphate_star Pacific (27.5,27.75] 0.3304796 0.2412894 0.4309036
silicate + phosphate_star Pacific (27.75,27.85] -0.0711230 -0.2096261 0.0784459
silicate + phosphate_star Pacific (27.85,27.95] -0.2433895 -0.4674652 0.0394660
silicate + phosphate_star Pacific (27.95,28.05] -0.3525456 -0.6454129 -0.1068116
silicate + phosphate_star Pacific (28.05,28.1] -0.2132161 -0.4942635 0.1684344
silicate + phosphate_star Pacific (28.1, Inf] -0.4510096 -0.5642165 -0.3234077
temp + aou Atlantic (-Inf,26] -0.5357809 -0.6951794 -0.3763824
temp + aou Atlantic (26,26.5] -0.5629035 -0.9109261 -0.3176631
temp + aou Atlantic (26.5,26.75] -0.1353018 -0.6751871 0.1499006
temp + aou Atlantic (26.75,27] 0.4104363 0.2495016 0.4993581
temp + aou Atlantic (27,27.25] 0.3924531 0.2530074 0.5667172
temp + aou Atlantic (27.25,27.5] 0.5742682 0.4860533 0.6471519
temp + aou Atlantic (27.5,27.75] 0.5651190 0.4672033 0.7052201
temp + aou Atlantic (27.75,27.85] 0.3465919 0.1697515 0.4539236
temp + aou Atlantic (27.85,27.95] 0.2020787 0.1160496 0.2590775
temp + aou Atlantic (27.95,28.05] -0.1103413 -0.1431434 -0.0895589
temp + aou Atlantic (28.05,28.1] -0.5801027 -0.6513026 -0.4483672
temp + aou Atlantic (28.1,28.15] -0.7356573 -0.7754779 -0.7128442
temp + aou Atlantic (28.15,28.2] -0.8239407 -0.8463396 -0.8098379
temp + aou Atlantic (28.2, Inf] -0.8213251 -0.8549910 -0.7629141
temp + aou Indian (-Inf,26] -0.7222569 -0.8432313 -0.6474656
temp + aou Indian (26,26.5] -0.6344937 -0.8942892 -0.3967387
temp + aou Indian (26.5,26.75] -0.5409207 -0.7771174 -0.3846539
temp + aou Indian (26.75,27] -0.2985721 -0.5207912 -0.1837816
temp + aou Indian (27,27.25] -0.0339113 -0.2496053 0.1031655
temp + aou Indian (27.25,27.5] 0.4396390 0.3854931 0.5055510
temp + aou Indian (27.5,27.75] 0.6389069 0.5706369 0.7087525
temp + aou Indian (27.75,27.85] 0.8968578 0.8504388 0.9223016
temp + aou Indian (27.85,27.95] 0.9018505 0.8883106 0.9195222
temp + aou Indian (27.95,28.05] 0.8591929 0.8293164 0.8859584
temp + aou Indian (28.05,28.1] 0.8793492 0.8596987 0.8909766
temp + aou Indian (28.1, Inf] 0.8391838 0.7972226 0.8665024
temp + aou Pacific (-Inf,26] -0.4220806 -0.5274113 -0.2628395
temp + aou Pacific (26,26.5] -0.3346602 -0.3879936 -0.2949663
temp + aou Pacific (26.5,26.75] -0.0160412 -0.2774587 0.2332796
temp + aou Pacific (26.75,27] -0.1154135 -0.3058279 0.1397383
temp + aou Pacific (27,27.25] -0.5210316 -0.6141789 -0.4199992
temp + aou Pacific (27.25,27.5] -0.5349427 -0.6114081 -0.4107929
temp + aou Pacific (27.5,27.75] -0.1061654 -0.1803466 -0.0276477
temp + aou Pacific (27.75,27.85] 0.3653741 0.3030273 0.4061749
temp + aou Pacific (27.85,27.95] 0.5953554 0.4205717 0.7017546
temp + aou Pacific (27.95,28.05] 0.7937441 0.6944407 0.8710110
temp + aou Pacific (28.05,28.1] 0.8473599 0.7981147 0.8833612
temp + aou Pacific (28.1, Inf] 0.9091127 0.8882881 0.9241071
temp + nitrate Atlantic (-Inf,26] -0.8701081 -0.8896045 -0.8506118
temp + nitrate Atlantic (26,26.5] -0.5714743 -0.9472283 -0.3611420
temp + nitrate Atlantic (26.5,26.75] -0.2462760 -0.8360050 0.0539521
temp + nitrate Atlantic (26.75,27] 0.3754780 0.2198148 0.4588876
temp + nitrate Atlantic (27,27.25] 0.2439036 0.1125062 0.4176027
temp + nitrate Atlantic (27.25,27.5] 0.4519703 0.3674818 0.5094410
temp + nitrate Atlantic (27.5,27.75] 0.3406454 0.1357315 0.5849432
temp + nitrate Atlantic (27.75,27.85] -0.2704638 -0.3586434 -0.1859324
temp + nitrate Atlantic (27.85,27.95] -0.4582100 -0.5788637 -0.3835186
temp + nitrate Atlantic (27.95,28.05] -0.5774806 -0.7303706 -0.4788545
temp + nitrate Atlantic (28.05,28.1] -0.7791640 -0.8808407 -0.6690059
temp + nitrate Atlantic (28.1,28.15] -0.8587711 -0.9002592 -0.8181253
temp + nitrate Atlantic (28.15,28.2] -0.8958219 -0.9211880 -0.8734618
temp + nitrate Atlantic (28.2, Inf] -0.9209951 -0.9546983 -0.8825822
temp + nitrate Indian (-Inf,26] -0.7463732 -0.8584876 -0.6776350
temp + nitrate Indian (26,26.5] -0.7001288 -0.9403765 -0.4420626
temp + nitrate Indian (26.5,26.75] -0.6645503 -0.8419447 -0.5197137
temp + nitrate Indian (26.75,27] -0.4741040 -0.6344618 -0.3890122
temp + nitrate Indian (27,27.25] -0.2365041 -0.3966061 -0.1244754
temp + nitrate Indian (27.25,27.5] 0.1760925 0.1275746 0.2704130
temp + nitrate Indian (27.5,27.75] 0.4125028 0.3042518 0.5387506
temp + nitrate Indian (27.75,27.85] 0.8275633 0.7356118 0.8783495
temp + nitrate Indian (27.85,27.95] 0.8297368 0.7738197 0.8806902
temp + nitrate Indian (27.95,28.05] 0.7634408 0.7187416 0.8309245
temp + nitrate Indian (28.05,28.1] 0.7634053 0.7336062 0.8207346
temp + nitrate Indian (28.1, Inf] 0.7304790 0.6895732 0.7586746
temp + nitrate Pacific (-Inf,26] -0.6538143 -0.7201402 -0.5513449
temp + nitrate Pacific (26,26.5] -0.5825922 -0.6465727 -0.4841027
temp + nitrate Pacific (26.5,26.75] -0.2717120 -0.4955461 0.0684189
temp + nitrate Pacific (26.75,27] -0.3394470 -0.5312246 0.0269416
temp + nitrate Pacific (27,27.25] -0.6083020 -0.7152185 -0.4114943
temp + nitrate Pacific (27.25,27.5] -0.5827984 -0.7541621 -0.3570044
temp + nitrate Pacific (27.5,27.75] -0.1237544 -0.2891738 0.0717160
temp + nitrate Pacific (27.75,27.85] 0.4346403 0.2588704 0.5791362
temp + nitrate Pacific (27.85,27.95] 0.6226826 0.3991074 0.7754098
temp + nitrate Pacific (27.95,28.05] 0.7651678 0.6668057 0.8417695
temp + nitrate Pacific (28.05,28.1] 0.8231090 0.7714338 0.8570325
temp + nitrate Pacific (28.1, Inf] 0.8872695 0.8649275 0.9025058
temp + phosphate Atlantic (-Inf,26] -0.3759632 -0.6742742 -0.0776522
temp + phosphate Atlantic (26,26.5] -0.7242000 -0.9693965 -0.5453829
temp + phosphate Atlantic (26.5,26.75] -0.4131006 -0.8538800 -0.1625603
temp + phosphate Atlantic (26.75,27] 0.2493547 0.0498795 0.3562171
temp + phosphate Atlantic (27,27.25] 0.1268907 -0.0248086 0.3013658
temp + phosphate Atlantic (27.25,27.5] 0.3482951 0.2610032 0.4341010
temp + phosphate Atlantic (27.5,27.75] 0.2674779 0.0520259 0.5173033
temp + phosphate Atlantic (27.75,27.85] -0.3160542 -0.4069048 -0.2367796
temp + phosphate Atlantic (27.85,27.95] -0.4908426 -0.6091919 -0.4255911
temp + phosphate Atlantic (27.95,28.05] -0.5963179 -0.7403470 -0.5076425
temp + phosphate Atlantic (28.05,28.1] -0.7905323 -0.8853536 -0.6819761
temp + phosphate Atlantic (28.1,28.15] -0.8685483 -0.9047118 -0.8305863
temp + phosphate Atlantic (28.15,28.2] -0.8944174 -0.9121726 -0.8745919
temp + phosphate Atlantic (28.2, Inf] -0.9087176 -0.9408662 -0.8685719
temp + phosphate Indian (-Inf,26] -0.7349441 -0.8518947 -0.6368911
temp + phosphate Indian (26,26.5] -0.7043697 -0.9312323 -0.4738634
temp + phosphate Indian (26.5,26.75] -0.6307243 -0.8327604 -0.4734881
temp + phosphate Indian (26.75,27] -0.4319168 -0.6249615 -0.3158045
temp + phosphate Indian (27,27.25] -0.2021704 -0.3966755 -0.0857014
temp + phosphate Indian (27.25,27.5] 0.2095884 0.1373864 0.3311937
temp + phosphate Indian (27.5,27.75] 0.4391051 0.3361493 0.5692328
temp + phosphate Indian (27.75,27.85] 0.8251371 0.7270992 0.8869471
temp + phosphate Indian (27.85,27.95] 0.8243640 0.7590021 0.8845173
temp + phosphate Indian (27.95,28.05] 0.7628938 0.7087527 0.8354356
temp + phosphate Indian (28.05,28.1] 0.7668976 0.7318995 0.8264814
temp + phosphate Indian (28.1, Inf] 0.7309682 0.6867364 0.7587310
temp + phosphate Pacific (-Inf,26] -0.6254305 -0.6788816 -0.5607192
temp + phosphate Pacific (26,26.5] -0.5319413 -0.5985536 -0.4189086
temp + phosphate Pacific (26.5,26.75] -0.1574584 -0.4139524 0.2009892
temp + phosphate Pacific (26.75,27] -0.2193411 -0.4666883 0.2231775
temp + phosphate Pacific (27,27.25] -0.5308770 -0.6592898 -0.2777868
temp + phosphate Pacific (27.25,27.5] -0.5301425 -0.6779970 -0.3023603
temp + phosphate Pacific (27.5,27.75] -0.1076322 -0.2540084 0.0678846
temp + phosphate Pacific (27.75,27.85] 0.3985468 0.2909605 0.4798169
temp + phosphate Pacific (27.85,27.95] 0.5928266 0.4156832 0.6915973
temp + phosphate Pacific (27.95,28.05] 0.7685327 0.6728243 0.8417452
temp + phosphate Pacific (28.05,28.1] 0.8261270 0.7747894 0.8588845
temp + phosphate Pacific (28.1, Inf] 0.8979156 0.8759678 0.9137528
temp + phosphate_star Atlantic (-Inf,26] -0.4870671 -0.5825606 -0.3915735
temp + phosphate_star Atlantic (26,26.5] -0.8675960 -0.9759307 -0.8103952
temp + phosphate_star Atlantic (26.5,26.75] -0.8920643 -0.9752990 -0.8452027
temp + phosphate_star Atlantic (26.75,27] -0.7246061 -0.7706824 -0.6864999
temp + phosphate_star Atlantic (27,27.25] -0.7661995 -0.8233378 -0.7376229
temp + phosphate_star Atlantic (27.25,27.5] -0.5300495 -0.5758496 -0.4546372
temp + phosphate_star Atlantic (27.5,27.75] -0.3184731 -0.4914459 -0.1004925
temp + phosphate_star Atlantic (27.75,27.85] -0.6732059 -0.7658078 -0.6159641
temp + phosphate_star Atlantic (27.85,27.95] -0.7723379 -0.8516932 -0.7241552
temp + phosphate_star Atlantic (27.95,28.05] -0.7997006 -0.8983723 -0.7384190
temp + phosphate_star Atlantic (28.05,28.1] -0.8967029 -0.9555590 -0.8395101
temp + phosphate_star Atlantic (28.1,28.15] -0.9366454 -0.9626609 -0.9172060
temp + phosphate_star Atlantic (28.15,28.2] -0.9427411 -0.9608353 -0.9220102
temp + phosphate_star Atlantic (28.2, Inf] -0.9267570 -0.9447705 -0.8912038
temp + phosphate_star Indian (-Inf,26] -0.7910825 -0.9041648 -0.6351646
temp + phosphate_star Indian (26,26.5] -0.8736199 -0.9807143 -0.7286269
temp + phosphate_star Indian (26.5,26.75] -0.9022846 -0.9748961 -0.8011507
temp + phosphate_star Indian (26.75,27] -0.9123356 -0.9700707 -0.8378885
temp + phosphate_star Indian (27,27.25] -0.9251056 -0.9555736 -0.9031555
temp + phosphate_star Indian (27.25,27.5] -0.9652839 -0.9859192 -0.9371408
temp + phosphate_star Indian (27.5,27.75] -0.9825154 -0.9889262 -0.9735233
temp + phosphate_star Indian (27.75,27.85] -0.9754158 -0.9797050 -0.9701719
temp + phosphate_star Indian (27.85,27.95] -0.9544629 -0.9613866 -0.9484513
temp + phosphate_star Indian (27.95,28.05] -0.8844028 -0.8971340 -0.8745692
temp + phosphate_star Indian (28.05,28.1] -0.8241165 -0.8819833 -0.7636678
temp + phosphate_star Indian (28.1, Inf] -0.7645931 -0.8007882 -0.7267905
temp + phosphate_star Pacific (-Inf,26] -0.9212383 -0.9387704 -0.9071188
temp + phosphate_star Pacific (26,26.5] -0.9119490 -0.9634745 -0.8222507
temp + phosphate_star Pacific (26.5,26.75] -0.7595250 -0.9631631 -0.4401340
temp + phosphate_star Pacific (26.75,27] -0.6435813 -0.9797003 -0.1421915
temp + phosphate_star Pacific (27,27.25] -0.7137532 -0.9715754 -0.3219952
temp + phosphate_star Pacific (27.25,27.5] -0.6159837 -0.9089434 -0.2004015
temp + phosphate_star Pacific (27.5,27.75] -0.4772821 -0.8899551 0.0318195
temp + phosphate_star Pacific (27.75,27.85] -0.3575387 -0.8102936 0.1467567
temp + phosphate_star Pacific (27.85,27.95] -0.6412695 -0.8352643 -0.4475489
temp + phosphate_star Pacific (27.95,28.05] -0.7724373 -0.9211397 -0.6156905
temp + phosphate_star Pacific (28.05,28.1] -0.5863185 -0.7980169 -0.2672365
temp + phosphate_star Pacific (28.1, Inf] -0.6871284 -0.7380351 -0.6337155
temp + silicate Atlantic (-Inf,26] -0.6540142 -0.6747236 -0.6333048
temp + silicate Atlantic (26,26.5] -0.2271352 -0.8916209 0.1202416
temp + silicate Atlantic (26.5,26.75] -0.1265762 -0.8347586 0.2577729
temp + silicate Atlantic (26.75,27] 0.1514524 0.0910285 0.2720436
temp + silicate Atlantic (27,27.25] -0.2286334 -0.2714925 -0.1885096
temp + silicate Atlantic (27.25,27.5] 0.1495589 0.0776649 0.2284196
temp + silicate Atlantic (27.5,27.75] 0.0602647 -0.1531234 0.3216251
temp + silicate Atlantic (27.75,27.85] -0.5629698 -0.6049414 -0.5354334
temp + silicate Atlantic (27.85,27.95] -0.6986010 -0.7560933 -0.6308939
temp + silicate Atlantic (27.95,28.05] -0.7757565 -0.8234399 -0.7398454
temp + silicate Atlantic (28.05,28.1] -0.8773101 -0.9129234 -0.8098354
temp + silicate Atlantic (28.1,28.15] -0.9061099 -0.9133657 -0.8926719
temp + silicate Atlantic (28.15,28.2] -0.8421944 -0.8589438 -0.8313417
temp + silicate Atlantic (28.2, Inf] -0.7210738 -0.7901577 -0.6392995
temp + silicate Indian (-Inf,26] -0.6821209 -0.8660066 -0.5160071
temp + silicate Indian (26,26.5] -0.7159638 -0.9302436 -0.5597068
temp + silicate Indian (26.5,26.75] -0.6240997 -0.8208217 -0.4918711
temp + silicate Indian (26.75,27] -0.3989527 -0.5757022 -0.2537106
temp + silicate Indian (27,27.25] -0.2346447 -0.3841721 -0.1003872
temp + silicate Indian (27.25,27.5] 0.1832287 0.1443630 0.2517044
temp + silicate Indian (27.5,27.75] 0.3905237 0.2909496 0.5046410
temp + silicate Indian (27.75,27.85] 0.8058887 0.7087666 0.8703091
temp + silicate Indian (27.85,27.95] 0.8052137 0.7469748 0.8577778
temp + silicate Indian (27.95,28.05] 0.7490163 0.6978383 0.8153522
temp + silicate Indian (28.05,28.1] 0.8098665 0.7840714 0.8536408
temp + silicate Indian (28.1, Inf] 0.5106707 0.4166182 0.5631117
temp + silicate Pacific (-Inf,26] -0.7495792 -0.7727650 -0.7035967
temp + silicate Pacific (26,26.5] -0.6586717 -0.7190774 -0.5877241
temp + silicate Pacific (26.5,26.75] -0.4590736 -0.6438121 -0.1248972
temp + silicate Pacific (26.75,27] -0.4251648 -0.6692122 -0.0433203
temp + silicate Pacific (27,27.25] -0.6243329 -0.7666624 -0.3938512
temp + silicate Pacific (27.25,27.5] -0.6435536 -0.8505430 -0.3866232
temp + silicate Pacific (27.5,27.75] -0.2249433 -0.4635690 0.0182018
temp + silicate Pacific (27.75,27.85] 0.3273022 0.0747452 0.5059473
temp + silicate Pacific (27.85,27.95] 0.5243784 0.2337604 0.6939094
temp + silicate Pacific (27.95,28.05] 0.7077138 0.5591095 0.8227980
temp + silicate Pacific (28.05,28.1] 0.8110153 0.7392041 0.8522017
temp + silicate Pacific (28.1, Inf] 0.8300975 0.8010367 0.8549947 
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
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
predictor basin gamma_slab mean_r min_r max_r
aou Atlantic (-Inf,26] 0.4257037 0.3050261 0.5463812
aou Atlantic (26,26.5] 0.0163390 -0.5109072 0.3452699
aou Atlantic (26.5,26.75] -0.2423165 -0.7905501 0.1772475
aou Atlantic (26.75,27] -0.2550532 -0.4568538 -0.1462945
aou Atlantic (27,27.25] -0.3405422 -0.4123312 -0.2367748
aou Atlantic (27.25,27.5] -0.6457634 -0.7330044 -0.5247707
aou Atlantic (27.5,27.75] -0.6090457 -0.8270288 -0.4753308
aou Atlantic (27.75,27.85] -0.5239005 -0.7575153 -0.3369498
aou Atlantic (27.85,27.95] -0.6160068 -0.7781772 -0.4664423
aou Atlantic (27.95,28.05] -0.7769756 -0.8804137 -0.6680606
aou Atlantic (28.05,28.1] -0.9430772 -0.9643049 -0.9178931
aou Atlantic (28.1,28.15] -0.9585262 -0.9853394 -0.9280293
aou Atlantic (28.15,28.2] -0.9651014 -0.9858745 -0.9514302
aou Atlantic (28.2, Inf] -0.8173077 -0.9223423 -0.7579194
aou Indian (-Inf,26] -0.2900148 -0.7567765 0.1232646
aou Indian (26,26.5] -0.8099910 -0.9692703 -0.7000327
aou Indian (26.5,26.75] -0.9137102 -0.9779887 -0.8522346
aou Indian (26.75,27] -0.9352673 -0.9719736 -0.9094273
aou Indian (27,27.25] -0.8755540 -0.9340136 -0.8362883
aou Indian (27.25,27.5] -0.6977682 -0.8298472 -0.5984859
aou Indian (27.5,27.75] -0.3065477 -0.7193996 0.2036051
aou Indian (27.75,27.85] -0.2362800 -0.9087421 0.6385783
aou Indian (27.85,27.95] -0.3868625 -0.8561028 0.2997764
aou Indian (27.95,28.05] -0.5716794 -0.8931550 -0.2190968
aou Indian (28.05,28.1] -0.7697097 -0.9268718 -0.6328695
aou Indian (28.1, Inf] -0.3736765 -0.4278873 -0.3350680
aou Pacific (-Inf,26] 0.2426804 0.0643903 0.3937072
aou Pacific (26,26.5] -0.2539054 -0.4153944 -0.0289448
aou Pacific (26.5,26.75] -0.4666394 -0.5959010 -0.2523764
aou Pacific (26.75,27] -0.5805894 -0.7034254 -0.4096269
aou Pacific (27,27.25] -0.3468607 -0.5347745 -0.0437138
aou Pacific (27.25,27.5] -0.1744693 -0.5271428 0.2902801
aou Pacific (27.5,27.75] 0.1124756 -0.2951364 0.5571257
aou Pacific (27.75,27.85] 0.4353176 0.1636314 0.7185117
aou Pacific (27.85,27.95] 0.4855351 0.2676944 0.7584590
aou Pacific (27.95,28.05] 0.4867824 0.3358053 0.7218760
aou Pacific (28.05,28.1] 0.6200033 0.5547681 0.7458949
aou Pacific (28.1, Inf] 0.8010609 0.7668403 0.8409423
nitrate Atlantic (-Inf,26] 0.1682105 -0.0214146 0.3578356
nitrate Atlantic (26,26.5] -0.2120811 -0.6030063 0.0241332
nitrate Atlantic (26.5,26.75] -0.3916659 -0.9000498 0.0269081
nitrate Atlantic (26.75,27] -0.3710697 -0.5665259 -0.2701627
nitrate Atlantic (27,27.25] -0.5308223 -0.5846826 -0.4455471
nitrate Atlantic (27.25,27.5] -0.8441242 -0.8840458 -0.7671822
nitrate Atlantic (27.5,27.75] -0.9140419 -0.9607085 -0.8812482
nitrate Atlantic (27.75,27.85] -0.9580632 -0.9782977 -0.9433153
nitrate Atlantic (27.85,27.95] -0.9790009 -0.9885638 -0.9697552
nitrate Atlantic (27.95,28.05] -0.9519026 -0.9808384 -0.9346417
nitrate Atlantic (28.05,28.1] -0.9932000 -0.9947486 -0.9918446
nitrate Atlantic (28.1,28.15] -0.9925605 -0.9939399 -0.9914447
nitrate Atlantic (28.15,28.2] -0.9920126 -0.9933901 -0.9905750
nitrate Atlantic (28.2, Inf] -0.9670831 -0.9898392 -0.9533716
nitrate Indian (-Inf,26] -0.2557503 -0.7535256 0.1096816
nitrate Indian (26,26.5] -0.6947805 -0.9809684 -0.4724940
nitrate Indian (26.5,26.75] -0.8710380 -0.9927707 -0.7495811
nitrate Indian (26.75,27] -0.9283958 -0.9934498 -0.8455290
nitrate Indian (27,27.25] -0.9400204 -0.9786217 -0.9076656
nitrate Indian (27.25,27.5] -0.8415307 -0.9457718 -0.7306237
nitrate Indian (27.5,27.75] -0.4873740 -0.8603280 -0.0001440
nitrate Indian (27.75,27.85] -0.2170676 -0.8889018 0.5896702
nitrate Indian (27.85,27.95] -0.3491847 -0.8220518 0.2703736
nitrate Indian (27.95,28.05] -0.5234448 -0.7694220 -0.2376271
nitrate Indian (28.05,28.1] -0.7131925 -0.8083689 -0.6368481
nitrate Indian (28.1, Inf] -0.5304329 -0.5697955 -0.4958595
nitrate Pacific (-Inf,26] 0.2629800 0.1583756 0.3626881
nitrate Pacific (26,26.5] -0.3330022 -0.4575171 -0.1165252
nitrate Pacific (26.5,26.75] -0.4547137 -0.6718525 -0.1465049
nitrate Pacific (26.75,27] -0.4479374 -0.6993451 -0.1270383
nitrate Pacific (27,27.25] -0.2370641 -0.5129834 0.1413459
nitrate Pacific (27.25,27.5] -0.1103007 -0.4509534 0.3597316
nitrate Pacific (27.5,27.75] 0.1549161 -0.1972009 0.5607026
nitrate Pacific (27.75,27.85] 0.5573416 0.4139975 0.7291229
nitrate Pacific (27.85,27.95] 0.5944505 0.5090000 0.7438577
nitrate Pacific (27.95,28.05] 0.4902093 0.3450274 0.6945368
nitrate Pacific (28.05,28.1] 0.6177800 0.5488828 0.7254516
nitrate Pacific (28.1, Inf] 0.7895854 0.7636848 0.8211591
phosphate Atlantic (-Inf,26] 0.4329790 0.3770938 0.4888643
phosphate Atlantic (26,26.5] -0.0122329 -0.5387179 0.3098939
phosphate Atlantic (26.5,26.75] -0.3840180 -0.8971262 -0.0104230
phosphate Atlantic (26.75,27] -0.3850324 -0.6054617 -0.2613085
phosphate Atlantic (27,27.25] -0.5971978 -0.6813503 -0.5101967
phosphate Atlantic (27.25,27.5] -0.8462835 -0.9012118 -0.7740643
phosphate Atlantic (27.5,27.75] -0.9204792 -0.9588952 -0.8966162
phosphate Atlantic (27.75,27.85] -0.9675095 -0.9831900 -0.9570152
phosphate Atlantic (27.85,27.95] -0.9824769 -0.9888035 -0.9771038
phosphate Atlantic (27.95,28.05] -0.9563084 -0.9810561 -0.9427805
phosphate Atlantic (28.05,28.1] -0.9925388 -0.9938737 -0.9915823
phosphate Atlantic (28.1,28.15] -0.9916613 -0.9930058 -0.9898352
phosphate Atlantic (28.15,28.2] -0.9907508 -0.9933333 -0.9878714
phosphate Atlantic (28.2, Inf] -0.9793331 -0.9847616 -0.9752612
phosphate Indian (-Inf,26] -0.3611630 -0.7655147 -0.0232019
phosphate Indian (26,26.5] -0.8610510 -0.9796597 -0.7809181
phosphate Indian (26.5,26.75] -0.9496008 -0.9893836 -0.9077006
phosphate Indian (26.75,27] -0.9740213 -0.9936067 -0.9554746
phosphate Indian (27,27.25] -0.9380475 -0.9749803 -0.9120966
phosphate Indian (27.25,27.5] -0.8305521 -0.9418551 -0.7315153
phosphate Indian (27.5,27.75] -0.4447402 -0.8427537 0.0622771
phosphate Indian (27.75,27.85] -0.1804536 -0.8751982 0.6559425
phosphate Indian (27.85,27.95] -0.3186963 -0.8091659 0.3159575
phosphate Indian (27.95,28.05] -0.4983512 -0.7501812 -0.1925646
phosphate Indian (28.05,28.1] -0.6991187 -0.7973479 -0.6133864
phosphate Indian (28.1, Inf] -0.5908080 -0.6189485 -0.5371487
phosphate Pacific (-Inf,26] 0.2933705 0.2224386 0.3826820
phosphate Pacific (26,26.5] -0.2922543 -0.4278861 -0.0392793
phosphate Pacific (26.5,26.75] -0.5046365 -0.7442608 -0.1624944
phosphate Pacific (26.75,27] -0.5763055 -0.8522369 -0.2019736
phosphate Pacific (27,27.25] -0.3852334 -0.7039386 0.0439228
phosphate Pacific (27.25,27.5] -0.2378911 -0.6198149 0.2423240
phosphate Pacific (27.5,27.75] 0.1074524 -0.2901816 0.5398004
phosphate Pacific (27.75,27.85] 0.4928163 0.2883320 0.7092132
phosphate Pacific (27.85,27.95] 0.5282107 0.3585154 0.7419671
phosphate Pacific (27.95,28.05] 0.4962838 0.3488672 0.7037298
phosphate Pacific (28.05,28.1] 0.6220368 0.5509347 0.7340233
phosphate Pacific (28.1, Inf] 0.7919438 0.7632659 0.8290728
phosphate_star Atlantic (-Inf,26] 0.1145536 -0.2093641 0.4384713
phosphate_star Atlantic (26,26.5] -0.0667954 -0.4998372 0.1551158
phosphate_star Atlantic (26.5,26.75] -0.4779346 -0.8933677 -0.2311607
phosphate_star Atlantic (26.75,27] -0.2357351 -0.3427454 -0.1222321
phosphate_star Atlantic (27,27.25] -0.6234638 -0.7081191 -0.5162938
phosphate_star Atlantic (27.25,27.5] -0.4942308 -0.6100241 -0.3519367
phosphate_star Atlantic (27.5,27.75] -0.7576741 -0.7974285 -0.7278447
phosphate_star Atlantic (27.75,27.85] -0.9255705 -0.9389743 -0.9009746
phosphate_star Atlantic (27.85,27.95] -0.9242546 -0.9424507 -0.9130715
phosphate_star Atlantic (27.95,28.05] -0.8972792 -0.9129536 -0.8802853
phosphate_star Atlantic (28.05,28.1] -0.9597956 -0.9746948 -0.9422251
phosphate_star Atlantic (28.1,28.15] -0.9646675 -0.9795374 -0.9532885
phosphate_star Atlantic (28.15,28.2] -0.9774868 -0.9817322 -0.9734461
phosphate_star Atlantic (28.2, Inf] -0.9837226 -0.9907028 -0.9773058
phosphate_star Indian (-Inf,26] -0.4316422 -0.7046608 -0.2742533
phosphate_star Indian (26,26.5] -0.8608271 -0.9550813 -0.8058741
phosphate_star Indian (26.5,26.75] -0.8564706 -0.9098160 -0.7764504
phosphate_star Indian (26.75,27] -0.7250554 -0.7814924 -0.6445073
phosphate_star Indian (27,27.25] -0.6444268 -0.7233969 -0.5745541
phosphate_star Indian (27.25,27.5] -0.3801799 -0.5463494 -0.1841916
phosphate_star Indian (27.5,27.75] -0.3620470 -0.7434591 0.0248056
phosphate_star Indian (27.75,27.85] 0.3533147 -0.4524936 0.8673208
phosphate_star Indian (27.85,27.95] 0.4848144 -0.1299315 0.8127241
phosphate_star Indian (27.95,28.05] 0.5813186 0.3246926 0.8438408
phosphate_star Indian (28.05,28.1] 0.6011034 0.4031749 0.8263737
phosphate_star Indian (28.1, Inf] -0.1605256 -0.4157627 -0.0139168
phosphate_star Pacific (-Inf,26] 0.4401447 0.3775153 0.5562107
phosphate_star Pacific (26,26.5] -0.1284337 -0.3480378 0.0843228
phosphate_star Pacific (26.5,26.75] -0.1715716 -0.4750863 0.3458477
phosphate_star Pacific (26.75,27] -0.1284907 -0.6260128 0.5288301
phosphate_star Pacific (27,27.25] -0.0858479 -0.5482795 0.5020882
phosphate_star Pacific (27.25,27.5] -0.1831087 -0.4929234 0.2015116
phosphate_star Pacific (27.5,27.75] 0.0725373 -0.0287485 0.1580624
phosphate_star Pacific (27.75,27.85] 0.3997695 0.1073279 0.6850458
phosphate_star Pacific (27.85,27.95] 0.1982583 0.0682831 0.3314251
phosphate_star Pacific (27.95,28.05] 0.1067357 -0.0973357 0.2708735
phosphate_star Pacific (28.05,28.1] 0.0458424 -0.1798412 0.2489185
phosphate_star Pacific (28.1, Inf] -0.4832000 -0.6050478 -0.4158217
sal Atlantic (-Inf,26] 0.3454529 -0.0222728 0.7131786
sal Atlantic (26,26.5] 0.0448845 -0.1046881 0.3338906
sal Atlantic (26.5,26.75] 0.2226787 -0.1277866 0.7641508
sal Atlantic (26.75,27] -0.4040782 -0.4541614 -0.3728953
sal Atlantic (27,27.25] 0.0313337 -0.1441327 0.1458570
sal Atlantic (27.25,27.5] -0.4289032 -0.5442539 -0.3476095
sal Atlantic (27.5,27.75] -0.3552711 -0.6080745 -0.2078798
sal Atlantic (27.75,27.85] 0.2656721 0.1776428 0.3591666
sal Atlantic (27.85,27.95] 0.4360593 0.2931361 0.5636697
sal Atlantic (27.95,28.05] 0.4664378 0.3681666 0.6105624
sal Atlantic (28.05,28.1] 0.8377925 0.7776230 0.8961814
sal Atlantic (28.1,28.15] 0.9104544 0.8862864 0.9263873
sal Atlantic (28.15,28.2] 0.9116880 0.8820999 0.9264913
sal Atlantic (28.2, Inf] 0.8595183 0.8081980 0.9202461
sal Indian (-Inf,26] 0.8495391 0.6951372 0.9303555
sal Indian (26,26.5] 0.7070345 0.3106298 0.9896575
sal Indian (26.5,26.75] 0.7487078 0.5566823 0.9643763
sal Indian (26.75,27] 0.6358223 0.4469999 0.8627452
sal Indian (27,27.25] 0.4823523 0.3258700 0.7111032
sal Indian (27.25,27.5] 0.0171484 -0.0436855 0.0630927
sal Indian (27.5,27.75] 0.0281192 -0.3604041 0.4751545
sal Indian (27.75,27.85] -0.2896401 -0.9073099 0.5903938
sal Indian (27.85,27.95] -0.4009290 -0.8421295 0.3068164
sal Indian (27.95,28.05] -0.5390438 -0.8534997 -0.1944061
sal Indian (28.05,28.1] -0.7358001 -0.9106062 -0.5884399
sal Indian (28.1, Inf] -0.4192961 -0.6742136 -0.1688939
sal Pacific (-Inf,26] -0.3212526 -0.5751530 -0.1668158
sal Pacific (26,26.5] -0.0618579 -0.1715409 0.0170069
sal Pacific (26.5,26.75] -0.2726259 -0.4644599 0.0486188
sal Pacific (26.75,27] -0.4812551 -0.6349080 -0.2177910
sal Pacific (27,27.25] -0.4437314 -0.7039104 -0.2123121
sal Pacific (27.25,27.5] -0.4937303 -0.7696606 -0.3480850
sal Pacific (27.5,27.75] -0.5548956 -0.8241298 -0.2457401
sal Pacific (27.75,27.85] 0.1769284 -0.3502958 0.6217163
sal Pacific (27.85,27.95] 0.3651466 0.0630965 0.7218715
sal Pacific (27.95,28.05] 0.1334473 -0.0162831 0.3582929
sal Pacific (28.05,28.1] 0.4006764 0.3137363 0.5322331
sal Pacific (28.1, Inf] 0.5042679 0.4695253 0.5698849
silicate Atlantic (-Inf,26] -0.4398243 -0.8146090 -0.0650397
silicate Atlantic (26,26.5] -0.5181103 -0.7090931 -0.4083992
silicate Atlantic (26.5,26.75] -0.5451786 -0.9284934 -0.2478454
silicate Atlantic (26.75,27] -0.5903049 -0.6951093 -0.5141643
silicate Atlantic (27,27.25] -0.8414369 -0.9027496 -0.8080552
silicate Atlantic (27.25,27.5] -0.9148407 -0.9456304 -0.8979753
silicate Atlantic (27.5,27.75] -0.9203820 -0.9337984 -0.8978188
silicate Atlantic (27.75,27.85] -0.9450726 -0.9530372 -0.9384426
silicate Atlantic (27.85,27.95] -0.9351234 -0.9439781 -0.9241806
silicate Atlantic (27.95,28.05] -0.8802239 -0.9084127 -0.8457239
silicate Atlantic (28.05,28.1] -0.9444029 -0.9662086 -0.9307518
silicate Atlantic (28.1,28.15] -0.9562325 -0.9739031 -0.9448611
silicate Atlantic (28.15,28.2] -0.9473448 -0.9604263 -0.9314690
silicate Atlantic (28.2, Inf] -0.8896279 -0.9366779 -0.8515038
silicate Indian (-Inf,26] -0.5515503 -0.7615042 -0.4178374
silicate Indian (26,26.5] -0.9143758 -0.9892328 -0.8660886
silicate Indian (26.5,26.75] -0.9663050 -0.9918839 -0.9489092
silicate Indian (26.75,27] -0.9638046 -0.9838523 -0.9418500
silicate Indian (27,27.25] -0.9381038 -0.9664235 -0.9234961
silicate Indian (27.25,27.5] -0.8390168 -0.9348702 -0.7591273
silicate Indian (27.5,27.75] -0.5098405 -0.8622756 -0.0388496
silicate Indian (27.75,27.85] -0.2386187 -0.8827647 0.5515564
silicate Indian (27.85,27.95] -0.3503421 -0.8096840 0.2431701
silicate Indian (27.95,28.05] -0.5076993 -0.7298722 -0.2312145
silicate Indian (28.05,28.1] -0.7185314 -0.8184279 -0.6306663
silicate Indian (28.1, Inf] -0.6644074 -0.8400390 -0.4998979
silicate Pacific (-Inf,26] 0.2509465 0.1992839 0.3201791
silicate Pacific (26,26.5] -0.4608980 -0.5812093 -0.2731731
silicate Pacific (26.5,26.75] -0.5093916 -0.7169607 -0.1720452
silicate Pacific (26.75,27] -0.3912626 -0.6975891 0.0548108
silicate Pacific (27,27.25] -0.2323362 -0.5603022 0.2482633
silicate Pacific (27.25,27.5] -0.0614930 -0.4636909 0.4843781
silicate Pacific (27.5,27.75] 0.2391204 -0.1564601 0.7023071
silicate Pacific (27.75,27.85] 0.5986219 0.4055282 0.8362861
silicate Pacific (27.85,27.95] 0.6037559 0.4303688 0.8506961
silicate Pacific (27.95,28.05] 0.5460327 0.3802961 0.8062132
silicate Pacific (28.05,28.1] 0.6591728 0.5728371 0.8012505
silicate Pacific (28.1, Inf] 0.8378881 0.7997057 0.9036785
temp Atlantic (-Inf,26] -0.1637110 -0.4679999 0.1405779
temp Atlantic (26,26.5] -0.0548520 -0.3136847 0.4081336
temp Atlantic (26.5,26.75] 0.2213268 -0.1283585 0.7947772
temp Atlantic (26.75,27] -0.3985262 -0.4322729 -0.3654323
temp Atlantic (27,27.25] 0.0522223 -0.1441916 0.1989649
temp Atlantic (27.25,27.5] -0.4545479 -0.5674097 -0.3905709
temp Atlantic (27.5,27.75] -0.3514042 -0.5955493 -0.1926566
temp Atlantic (27.75,27.85] 0.3572198 0.3196154 0.4198307
temp Atlantic (27.85,27.95] 0.4838432 0.3895158 0.5819618
temp Atlantic (27.95,28.05] 0.4851102 0.4112964 0.6065903
temp Atlantic (28.05,28.1] 0.7440932 0.6107229 0.8443400
temp Atlantic (28.1,28.15] 0.8212111 0.7554702 0.8659866
temp Atlantic (28.15,28.2] 0.8700271 0.8549840 0.8991344
temp Atlantic (28.2, Inf] 0.8734885 0.8057190 0.9081239
temp Indian (-Inf,26] -0.1264134 -0.4765959 0.3383239
temp Indian (26,26.5] 0.5710639 0.2531516 0.8946760
temp Indian (26.5,26.75] 0.6511571 0.5050151 0.8449248
temp Indian (26.75,27] 0.5209203 0.4290136 0.6792454
temp Indian (27,27.25] 0.4140947 0.3185357 0.4973955
temp Indian (27.25,27.5] 0.2787261 0.1808324 0.3305550
temp Indian (27.5,27.75] 0.3835734 0.0292831 0.7471274
temp Indian (27.75,27.85] -0.2743254 -0.8441448 0.5837211
temp Indian (27.85,27.95] -0.4384673 -0.8257192 0.2321621
temp Indian (27.95,28.05] -0.6207845 -0.8787003 -0.3102898
temp Indian (28.05,28.1] -0.7863571 -0.9175661 -0.6539266
temp Indian (28.1, Inf] -0.2936479 -0.3517810 -0.1883984
temp Pacific (-Inf,26] -0.6131418 -0.7013318 -0.5627854
temp Pacific (26,26.5] -0.1243948 -0.2303391 -0.0621533
temp Pacific (26.5,26.75] -0.3148039 -0.4798447 0.0111222
temp Pacific (26.75,27] -0.5057659 -0.6464413 -0.2464101
temp Pacific (27,27.25] -0.4275316 -0.6751713 -0.2024052
temp Pacific (27.25,27.5] -0.3035682 -0.5633059 -0.1376431
temp Pacific (27.5,27.75] -0.2635473 -0.5027659 -0.0445065
temp Pacific (27.75,27.85] 0.1376652 -0.3267843 0.5529172
temp Pacific (27.85,27.95] 0.1980909 -0.1415278 0.5791200
temp Pacific (27.95,28.05] 0.0107967 -0.1113314 0.1628602
temp Pacific (28.05,28.1] 0.2354717 0.1947788 0.3145094
temp Pacific (28.1, Inf] 0.7026050 0.6537538 0.7818814 
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