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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
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

Version Author Date
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

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

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

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

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

    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]

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

}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

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

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

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

2.2.2 Predictor pairs

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

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

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

Version Author Date
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
pair basin gamma_slab mean_r min_r max_r
aou + nitrate Atlantic (-Inf,26] 0.8572255 0.7787356 0.9970644
aou + nitrate Atlantic (26,26.5] 0.9481550 0.9343627 0.9709565
aou + nitrate Atlantic (26.5,27.25] 0.9627395 0.9590719 0.9661332
aou + nitrate Atlantic (27.25,27.5] 0.9286796 0.9036592 0.9546217
aou + nitrate Atlantic (27.5,27.75] 0.7940279 0.6525407 0.8896216
aou + nitrate Atlantic (27.75,27.85] 0.5502397 0.3500349 0.7027309
aou + nitrate Atlantic (27.85,27.95] 0.6197404 0.3444298 0.7669861
aou + nitrate Atlantic (27.95,28.05] 0.8023861 0.6424295 0.8949586
aou + nitrate Atlantic (28.05,28.1] 0.9449804 0.9113714 0.9640694
aou + nitrate Atlantic (28.1,28.15] 0.9637678 0.9298012 0.9832119
aou + nitrate Atlantic (28.15,28.2] 0.9784852 0.9658867 0.9924564
aou + nitrate Atlantic (28.2, Inf] 0.9227102 0.8909483 0.9583416
aou + nitrate Indo-Pacific (-Inf,26] 0.9237878 0.9089212 0.9424746
aou + nitrate Indo-Pacific (26,27] 0.8659557 0.8149624 0.8926422
aou + nitrate Indo-Pacific (27,27.25] 0.9261360 0.8856305 0.9533992
aou + nitrate Indo-Pacific (27.25,27.5] 0.9406275 0.9126085 0.9607463
aou + nitrate Indo-Pacific (27.5,27.75] 0.9589448 0.9346023 0.9743130
aou + nitrate Indo-Pacific (27.75,27.85] 0.9730963 0.9587618 0.9816245
aou + nitrate Indo-Pacific (27.85,27.95] 0.9789024 0.9650993 0.9869767
aou + nitrate Indo-Pacific (27.95,28.05] 0.9908526 0.9834110 0.9951758
aou + nitrate Indo-Pacific (28.05,28.1] 0.9902268 0.9834431 0.9952965
aou + nitrate Indo-Pacific (28.1, Inf] 0.9846719 0.9746561 0.9927482
aou + phosphate Atlantic (-Inf,26] 0.9727396 0.9571475 0.9996753
aou + phosphate Atlantic (26,26.5] 0.9180533 0.9102553 0.9314903
aou + phosphate Atlantic (26.5,27.25] 0.9382857 0.9275629 0.9453739
aou + phosphate Atlantic (27.25,27.5] 0.8904403 0.8534420 0.9262101
aou + phosphate Atlantic (27.5,27.75] 0.7474587 0.5845666 0.8588265
aou + phosphate Atlantic (27.75,27.85] 0.5071459 0.2960314 0.6625901
aou + phosphate Atlantic (27.85,27.95] 0.5925740 0.3097377 0.7505723
aou + phosphate Atlantic (27.95,28.05] 0.7890106 0.6290343 0.8856222
aou + phosphate Atlantic (28.05,28.1] 0.9408028 0.9078077 0.9597844
aou + phosphate Atlantic (28.1,28.15] 0.9606354 0.9260941 0.9793935
aou + phosphate Atlantic (28.15,28.2] 0.9792205 0.9684534 0.9911309
aou + phosphate Atlantic (28.2, Inf] 0.9013696 0.8574432 0.9612080
aou + phosphate Indo-Pacific (-Inf,26] 0.9538832 0.9461812 0.9619260
aou + phosphate Indo-Pacific (26,27] 0.9413794 0.9291388 0.9524379
aou + phosphate Indo-Pacific (27,27.25] 0.9734503 0.9574497 0.9832370
aou + phosphate Indo-Pacific (27.25,27.5] 0.9793200 0.9751512 0.9859755
aou + phosphate Indo-Pacific (27.5,27.75] 0.9832046 0.9784391 0.9887335
aou + phosphate Indo-Pacific (27.75,27.85] 0.9895285 0.9870934 0.9908306
aou + phosphate Indo-Pacific (27.85,27.95] 0.9918620 0.9917223 0.9919360
aou + phosphate Indo-Pacific (27.95,28.05] 0.9940072 0.9920181 0.9952570
aou + phosphate Indo-Pacific (28.05,28.1] 0.9933903 0.9912441 0.9959464
aou + phosphate Indo-Pacific (28.1, Inf] 0.9881264 0.9819458 0.9932819
aou + phosphate_star Atlantic (-Inf,26] 0.6744936 0.4670227 0.9904559
aou + phosphate_star Atlantic (26,26.5] 0.2128946 0.0849443 0.3664410
aou + phosphate_star Atlantic (26.5,27.25] 0.1584869 0.1104262 0.1836204
aou + phosphate_star Atlantic (27.25,27.5] -0.0129223 -0.1100067 0.0897292
aou + phosphate_star Atlantic (27.5,27.75] 0.0810924 -0.1333792 0.2218094
aou + phosphate_star Atlantic (27.75,27.85] -0.0193824 -0.2545075 0.1938392
aou + phosphate_star Atlantic (27.85,27.95] 0.2202734 -0.1115675 0.4159903
aou + phosphate_star Atlantic (27.95,28.05] 0.5611860 0.3529681 0.6974088
aou + phosphate_star Atlantic (28.05,28.1] 0.8467165 0.8034119 0.8866030
aou + phosphate_star Atlantic (28.1,28.15] 0.8933587 0.8279851 0.9270883
aou + phosphate_star Atlantic (28.15,28.2] 0.9340517 0.9082271 0.9640288
aou + phosphate_star Atlantic (28.2, Inf] 0.8113440 0.7410136 0.9014739
aou + phosphate_star Indo-Pacific (-Inf,26] 0.4983784 0.3895102 0.5825659
aou + phosphate_star Indo-Pacific (26,27] 0.4149371 0.2591197 0.5311909
aou + phosphate_star Indo-Pacific (27,27.25] 0.6655428 0.6084850 0.7273133
aou + phosphate_star Indo-Pacific (27.25,27.5] 0.4358419 0.3038495 0.5172423
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.0371413 -0.1562263 0.0432818
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.3837563 -0.4687574 -0.2745148
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.4497662 -0.5343331 -0.2928132
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.4279793 -0.5329627 -0.2825882
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.2922479 -0.4211504 -0.2047856
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.4270551 -0.4904324 -0.3189712
aou + silicate Atlantic (-Inf,26] 0.3071792 -0.0635108 0.9299356
aou + silicate Atlantic (26,26.5] 0.5747769 0.3806758 0.9345239
aou + silicate Atlantic (26.5,27.25] 0.7206442 0.7133695 0.7257092
aou + silicate Atlantic (27.25,27.5] 0.6398614 0.6112630 0.6687085
aou + silicate Atlantic (27.5,27.75] 0.4806538 0.2895592 0.6501451
aou + silicate Atlantic (27.75,27.85] 0.2168421 0.0367784 0.3470295
aou + silicate Atlantic (27.85,27.95] 0.3797001 0.1352076 0.5826052
aou + silicate Atlantic (27.95,28.05] 0.6321720 0.5272933 0.7344191
aou + silicate Atlantic (28.05,28.1] 0.8757850 0.8689051 0.8828373
aou + silicate Atlantic (28.1,28.15] 0.9285088 0.9082652 0.9443477
aou + silicate Atlantic (28.15,28.2] 0.9490249 0.9422450 0.9571863
aou + silicate Atlantic (28.2, Inf] 0.6504663 0.5258560 0.8606818
aou + silicate Indo-Pacific (-Inf,26] 0.8324576 0.7963621 0.8694112
aou + silicate Indo-Pacific (26,27] 0.8087556 0.7423287 0.8527930
aou + silicate Indo-Pacific (27,27.25] 0.9122215 0.8946301 0.9406842
aou + silicate Indo-Pacific (27.25,27.5] 0.9287655 0.9014868 0.9564123
aou + silicate Indo-Pacific (27.5,27.75] 0.9424812 0.9278176 0.9628237
aou + silicate Indo-Pacific (27.75,27.85] 0.9629577 0.9542078 0.9734234
aou + silicate Indo-Pacific (27.85,27.95] 0.9724672 0.9622986 0.9797911
aou + silicate Indo-Pacific (27.95,28.05] 0.9810013 0.9710312 0.9863014
aou + silicate Indo-Pacific (28.05,28.1] 0.9884906 0.9832762 0.9934741
aou + silicate Indo-Pacific (28.1, Inf] 0.8645216 0.8317351 0.8843142
nitrate + phosphate Atlantic (-Inf,26] 0.7780781 0.6299883 0.9977972
nitrate + phosphate Atlantic (26,26.5] 0.9012453 0.8555702 0.9849371
nitrate + phosphate Atlantic (26.5,27.25] 0.9842961 0.9792195 0.9881155
nitrate + phosphate Atlantic (27.25,27.5] 0.9907024 0.9869967 0.9937695
nitrate + phosphate Atlantic (27.5,27.75] 0.9949792 0.9939664 0.9959421
nitrate + phosphate Atlantic (27.75,27.85] 0.9982565 0.9978821 0.9986953
nitrate + phosphate Atlantic (27.85,27.95] 0.9988860 0.9985748 0.9994339
nitrate + phosphate Atlantic (27.95,28.05] 0.9992495 0.9987888 0.9995573
nitrate + phosphate Atlantic (28.05,28.1] 0.9996389 0.9994601 0.9997884
nitrate + phosphate Atlantic (28.1,28.15] 0.9994954 0.9992909 0.9996981
nitrate + phosphate Atlantic (28.15,28.2] 0.9970378 0.9959606 0.9979578
nitrate + phosphate Atlantic (28.2, Inf] 0.9935555 0.9930431 0.9940317
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9535878 0.9402954 0.9763313
nitrate + phosphate Indo-Pacific (26,27] 0.9258593 0.8975917 0.9472255
nitrate + phosphate Indo-Pacific (27,27.25] 0.9470858 0.9083368 0.9800784
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9561834 0.9247473 0.9751712
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9766177 0.9580416 0.9876921
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9897771 0.9853421 0.9926155
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9926479 0.9856267 0.9961908
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9980858 0.9950903 0.9996659
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9980959 0.9953263 0.9996297
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9956324 0.9911462 0.9982709
nitrate + phosphate_star Atlantic (-Inf,26] 0.5437496 0.3222080 0.9789171
nitrate + phosphate_star Atlantic (26,26.5] 0.2887318 0.1108883 0.5608768
nitrate + phosphate_star Atlantic (26.5,27.25] 0.3737407 0.3376423 0.3978127
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3035509 0.2545686 0.3571190
nitrate + phosphate_star Atlantic (27.5,27.75] 0.6351254 0.6188723 0.6436810
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8152776 0.8010804 0.8310621
nitrate + phosphate_star Atlantic (27.85,27.95] 0.8922085 0.8843940 0.9003851
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9380788 0.9299921 0.9421719
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9716410 0.9631842 0.9763618
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9782261 0.9750816 0.9819505
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9826868 0.9798862 0.9848929
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9684011 0.9595406 0.9790465
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.6895530 0.5640685 0.7780450
nitrate + phosphate_star Indo-Pacific (26,27] 0.6755534 0.6023791 0.7557569
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.7864135 0.7709504 0.8165284
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.5771825 0.5232608 0.6199923
nitrate + phosphate_star Indo-Pacific (27.5,27.75] 0.1410996 0.0537799 0.2299521
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.2288598 -0.2921298 -0.1081374
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.3139786 -0.4249186 -0.1366580
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.3149858 -0.4409079 -0.1212430
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.1681576 -0.3068401 -0.0375188
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.2823639 -0.3907099 -0.1242703
nitrate + silicate Atlantic (-Inf,26] 0.7103898 0.5307555 0.9550492
nitrate + silicate Atlantic (26,26.5] 0.7422125 0.6290520 0.9651251
nitrate + silicate Atlantic (26.5,27.25] 0.8563034 0.8492048 0.8618921
nitrate + silicate Atlantic (27.25,27.5] 0.8552365 0.8411467 0.8806066
nitrate + silicate Atlantic (27.5,27.75] 0.8826629 0.8658723 0.9078472
nitrate + silicate Atlantic (27.75,27.85] 0.9008696 0.8833558 0.9096803
nitrate + silicate Atlantic (27.85,27.95] 0.9271951 0.8861208 0.9513021
nitrate + silicate Atlantic (27.95,28.05] 0.9350114 0.8994942 0.9628420
nitrate + silicate Atlantic (28.05,28.1] 0.9625185 0.9463005 0.9821971
nitrate + silicate Atlantic (28.1,28.15] 0.9733080 0.9625667 0.9860150
nitrate + silicate Atlantic (28.15,28.2] 0.9481003 0.9390086 0.9588966
nitrate + silicate Atlantic (28.2, Inf] 0.8074569 0.7611962 0.8541288
nitrate + silicate Indo-Pacific (-Inf,26] 0.8595939 0.7915355 0.9202394
nitrate + silicate Indo-Pacific (26,27] 0.9070223 0.8696948 0.9263855
nitrate + silicate Indo-Pacific (27,27.25] 0.9516644 0.9380866 0.9615788
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9619505 0.9521376 0.9706573
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9757491 0.9721855 0.9823838
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9872377 0.9803724 0.9909002
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9875148 0.9837788 0.9909994
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9899530 0.9860099 0.9924331
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9938459 0.9931260 0.9942720
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8655055 0.8464853 0.8789166
phosphate + phosphate_star Atlantic (-Inf,26] 0.7753686 0.6153791 0.9886699
phosphate + phosphate_star Atlantic (26,26.5] 0.5553294 0.4520646 0.6554579
phosphate + phosphate_star Atlantic (26.5,27.25] 0.4733119 0.4254595 0.5203002
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4164176 0.3919266 0.4474608
phosphate + phosphate_star Atlantic (27.5,27.75] 0.6998652 0.6804709 0.7143330
phosphate + phosphate_star Atlantic (27.75,27.85] 0.8448214 0.8269696 0.8611730
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9087428 0.9052543 0.9119678
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9468121 0.9429621 0.9493164
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9755029 0.9678362 0.9801803
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9818011 0.9776524 0.9855131
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9860748 0.9829986 0.9900762
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9814348 0.9770969 0.9843930
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.7036788 0.5989457 0.7751881
phosphate + phosphate_star Indo-Pacific (26,27] 0.6817373 0.5939422 0.7565328
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.8028442 0.7518588 0.8315241
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.5982199 0.4981358 0.6503712
phosphate + phosphate_star Indo-Pacific (27.5,27.75] 0.1347689 0.0292261 0.2311801
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.2558158 -0.3373802 -0.1423671
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.3392908 -0.4261222 -0.1712304
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.3299777 -0.4453205 -0.1626257
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.1852865 -0.3132814 -0.0779775
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.2910936 -0.3914646 -0.1403501
sal + aou Atlantic (-Inf,26] -0.5064611 -0.8315416 -0.3117885
sal + aou Atlantic (26,26.5] -0.0835583 -0.3285857 0.1869740
sal + aou Atlantic (26.5,27.25] 0.2577335 0.1670078 0.3070897
sal + aou Atlantic (27.25,27.5] 0.6233118 0.5518635 0.6786190
sal + aou Atlantic (27.5,27.75] 0.6115346 0.5356705 0.7421913
sal + aou Atlantic (27.75,27.85] 0.5290124 0.4464163 0.5769412
sal + aou Atlantic (27.85,27.95] 0.2790744 0.2195368 0.3897921
sal + aou Atlantic (27.95,28.05] -0.1645693 -0.1843987 -0.1264310
sal + aou Atlantic (28.05,28.1] -0.7163791 -0.7516561 -0.6626590
sal + aou Atlantic (28.1,28.15] -0.8560741 -0.8918905 -0.8154804
sal + aou Atlantic (28.15,28.2] -0.8754586 -0.9205737 -0.8511678
sal + aou Atlantic (28.2, Inf] -0.8823846 -0.9204041 -0.8548853
sal + aou Indo-Pacific (-Inf,26] -0.1780005 -0.2831396 0.0130019
sal + aou Indo-Pacific (26,27] -0.1518993 -0.3909954 0.0118687
sal + aou Indo-Pacific (27,27.25] -0.5891796 -0.6909781 -0.5131383
sal + aou Indo-Pacific (27.25,27.5] -0.4484093 -0.5996044 -0.2469562
sal + aou Indo-Pacific (27.5,27.75] 0.0537111 -0.0521757 0.2457245
sal + aou Indo-Pacific (27.75,27.85] 0.4750875 0.4422020 0.5000545
sal + aou Indo-Pacific (27.85,27.95] 0.6420510 0.5806804 0.7178433
sal + aou Indo-Pacific (27.95,28.05] 0.8081369 0.6997023 0.8757720
sal + aou Indo-Pacific (28.05,28.1] 0.8583739 0.7555412 0.9271820
sal + aou Indo-Pacific (28.1, Inf] 0.5360301 0.4973383 0.5649724
sal + nitrate Atlantic (-Inf,26] -0.6776960 -0.8714704 -0.4944500
sal + nitrate Atlantic (26,26.5] -0.1575636 -0.4689350 0.1388214
sal + nitrate Atlantic (26.5,27.25] 0.1156724 0.0450687 0.1718327
sal + nitrate Atlantic (27.25,27.5] 0.5187896 0.4576413 0.5694452
sal + nitrate Atlantic (27.5,27.75] 0.3488259 0.1258725 0.5924918
sal + nitrate Atlantic (27.75,27.85] -0.2504748 -0.3931307 -0.1460163
sal + nitrate Atlantic (27.85,27.95] -0.4532822 -0.6334983 -0.3448093
sal + nitrate Atlantic (27.95,28.05] -0.6027240 -0.7694131 -0.4968374
sal + nitrate Atlantic (28.05,28.1] -0.8734498 -0.9295031 -0.8296721
sal + nitrate Atlantic (28.1,28.15] -0.9425160 -0.9537786 -0.9317309
sal + nitrate Atlantic (28.15,28.2] -0.9357800 -0.9538010 -0.9082763
sal + nitrate Atlantic (28.2, Inf] -0.9428290 -0.9569918 -0.9261285
sal + nitrate Indo-Pacific (-Inf,26] -0.2969421 -0.4046647 -0.0946087
sal + nitrate Indo-Pacific (26,27] -0.3952225 -0.5929224 -0.1359084
sal + nitrate Indo-Pacific (27,27.25] -0.6774955 -0.7834833 -0.5523569
sal + nitrate Indo-Pacific (27.25,27.5] -0.5261160 -0.6628147 -0.4425965
sal + nitrate Indo-Pacific (27.5,27.75] 0.0244877 -0.0923981 0.1169666
sal + nitrate Indo-Pacific (27.75,27.85] 0.4600905 0.2788703 0.6172113
sal + nitrate Indo-Pacific (27.85,27.95] 0.6251202 0.4467107 0.7466066
sal + nitrate Indo-Pacific (27.95,28.05] 0.7435671 0.5813671 0.8473885
sal + nitrate Indo-Pacific (28.05,28.1] 0.7988835 0.6463734 0.9011801
sal + nitrate Indo-Pacific (28.1, Inf] 0.4602311 0.3847521 0.5027090
sal + phosphate Atlantic (-Inf,26] -0.4518114 -0.8398901 -0.2465374
sal + phosphate Atlantic (26,26.5] -0.2979335 -0.5117422 -0.0468162
sal + phosphate Atlantic (26.5,27.25] 0.0210247 -0.0791898 0.0850604
sal + phosphate Atlantic (27.25,27.5] 0.4113639 0.3486213 0.4873848
sal + phosphate Atlantic (27.5,27.75] 0.2665665 0.0290132 0.5180735
sal + phosphate Atlantic (27.75,27.85] -0.2987398 -0.4435177 -0.1957830
sal + phosphate Atlantic (27.85,27.95] -0.4852323 -0.6628939 -0.3707945
sal + phosphate Atlantic (27.95,28.05] -0.6171134 -0.7771322 -0.5097947
sal + phosphate Atlantic (28.05,28.1] -0.8815266 -0.9326560 -0.8386271
sal + phosphate Atlantic (28.1,28.15] -0.9460676 -0.9552534 -0.9370812
sal + phosphate Atlantic (28.15,28.2] -0.9156441 -0.9388487 -0.8793491
sal + phosphate Atlantic (28.2, Inf] -0.9083260 -0.9237634 -0.8868130
sal + phosphate Indo-Pacific (-Inf,26] -0.2770173 -0.3620185 -0.1279950
sal + phosphate Indo-Pacific (26,27] -0.3261320 -0.5545632 -0.0444535
sal + phosphate Indo-Pacific (27,27.25] -0.6175037 -0.7455319 -0.4563261
sal + phosphate Indo-Pacific (27.25,27.5] -0.4856847 -0.6421650 -0.4046059
sal + phosphate Indo-Pacific (27.5,27.75] 0.0290616 -0.0968539 0.0929089
sal + phosphate Indo-Pacific (27.75,27.85] 0.4406216 0.3335464 0.5341180
sal + phosphate Indo-Pacific (27.85,27.95] 0.6040377 0.4950374 0.6632291
sal + phosphate Indo-Pacific (27.95,28.05] 0.7641995 0.6392646 0.8462317
sal + phosphate Indo-Pacific (28.05,28.1] 0.8232745 0.7059668 0.9054275
sal + phosphate Indo-Pacific (28.1, Inf] 0.5131781 0.4653111 0.5392001
sal + phosphate_star Atlantic (-Inf,26] -0.4403339 -0.7602330 -0.1020099
sal + phosphate_star Atlantic (26,26.5] -0.8120719 -0.8653834 -0.7811438
sal + phosphate_star Atlantic (26.5,27.25] -0.7630444 -0.7901950 -0.7324007
sal + phosphate_star Atlantic (27.25,27.5] -0.5281868 -0.5751045 -0.4473745
sal + phosphate_star Atlantic (27.5,27.75] -0.3582831 -0.5499288 -0.1700993
sal + phosphate_star Atlantic (27.75,27.85] -0.7016075 -0.7966754 -0.5966183
sal + phosphate_star Atlantic (27.85,27.95] -0.7598990 -0.8799893 -0.6757793
sal + phosphate_star Atlantic (27.95,28.05] -0.7842444 -0.9029374 -0.6969602
sal + phosphate_star Atlantic (28.05,28.1] -0.9468805 -0.9745621 -0.9305827
sal + phosphate_star Atlantic (28.1,28.15] -0.9747041 -0.9799700 -0.9663581
sal + phosphate_star Atlantic (28.15,28.2] -0.9345205 -0.9582777 -0.8926780
sal + phosphate_star Atlantic (28.2, Inf] -0.8911064 -0.9228341 -0.8622036
sal + phosphate_star Indo-Pacific (-Inf,26] -0.6081513 -0.6427701 -0.5704407
sal + phosphate_star Indo-Pacific (26,27] -0.7183608 -0.8727436 -0.4682246
sal + phosphate_star Indo-Pacific (27,27.25] -0.7578816 -0.9511620 -0.4373638
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.6099726 -0.8920534 -0.2078037
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.3795209 -0.8673074 0.2595678
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.6189053 -0.9018960 -0.2621323
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.6854888 -0.8370758 -0.4174121
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7218380 -0.7940763 -0.6719228
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5641586 -0.6362123 -0.4690130
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.4111293 -0.4684511 -0.3761033
sal + silicate Atlantic (-Inf,26] -0.7157722 -0.9770563 -0.4889055
sal + silicate Atlantic (26,26.5] -0.0674294 -0.5192700 0.2035280
sal + silicate Atlantic (26.5,27.25] -0.1384993 -0.2502385 -0.0589521
sal + silicate Atlantic (27.25,27.5] 0.2383706 0.1975945 0.2848392
sal + silicate Atlantic (27.5,27.75] 0.0473080 -0.1872089 0.2960984
sal + silicate Atlantic (27.75,27.85] -0.5649398 -0.6382892 -0.4978246
sal + silicate Atlantic (27.85,27.95] -0.6926993 -0.7940976 -0.5783716
sal + silicate Atlantic (27.95,28.05] -0.7785788 -0.8520810 -0.6924272
sal + silicate Atlantic (28.05,28.1] -0.9424055 -0.9526872 -0.9248407
sal + silicate Atlantic (28.1,28.15] -0.9522715 -0.9539223 -0.9507091
sal + silicate Atlantic (28.15,28.2] -0.8155408 -0.8480191 -0.7623203
sal + silicate Atlantic (28.2, Inf] -0.6182473 -0.7023908 -0.5265288
sal + silicate Indo-Pacific (-Inf,26] -0.4803091 -0.5592867 -0.3686039
sal + silicate Indo-Pacific (26,27] -0.4686572 -0.6205518 -0.2145257
sal + silicate Indo-Pacific (27,27.25] -0.6977918 -0.7847640 -0.5281200
sal + silicate Indo-Pacific (27.25,27.5] -0.5805148 -0.6969204 -0.4545928
sal + silicate Indo-Pacific (27.5,27.75] -0.0422097 -0.1483787 0.0978396
sal + silicate Indo-Pacific (27.75,27.85] 0.3978507 0.1997548 0.5654176
sal + silicate Indo-Pacific (27.85,27.95] 0.5710133 0.3869982 0.6812926
sal + silicate Indo-Pacific (27.95,28.05] 0.7421850 0.5729197 0.8524314
sal + silicate Indo-Pacific (28.05,28.1] 0.8121392 0.6707318 0.9119369
sal + silicate Indo-Pacific (28.1, Inf] 0.7651755 0.6930370 0.8232581
sal + temp Atlantic (-Inf,26] 0.4703997 0.3903959 0.6009879
sal + temp Atlantic (26,26.5] 0.9717924 0.9512346 0.9852414
sal + temp Atlantic (26.5,27.25] 0.9410585 0.9264906 0.9510473
sal + temp Atlantic (27.25,27.5] 0.9857016 0.9806500 0.9895640
sal + temp Atlantic (27.5,27.75] 0.9675800 0.9647926 0.9716934
sal + temp Atlantic (27.75,27.85] 0.9731774 0.9702530 0.9762728
sal + temp Atlantic (27.85,27.95] 0.9702851 0.9659417 0.9781582
sal + temp Atlantic (27.95,28.05] 0.9522605 0.9390323 0.9732479
sal + temp Atlantic (28.05,28.1] 0.9649708 0.9471342 0.9805189
sal + temp Atlantic (28.1,28.15] 0.9581600 0.9481528 0.9740898
sal + temp Atlantic (28.15,28.2] 0.9424011 0.9144874 0.9727348
sal + temp Atlantic (28.2, Inf] 0.9409074 0.9235060 0.9555321
sal + temp Indo-Pacific (-Inf,26] 0.6428388 0.5641991 0.6866578
sal + temp Indo-Pacific (26,27] 0.8889101 0.8519850 0.9188873
sal + temp Indo-Pacific (27,27.25] 0.9802224 0.9740413 0.9849959
sal + temp Indo-Pacific (27.25,27.5] 0.9326152 0.9185106 0.9514759
sal + temp Indo-Pacific (27.5,27.75] 0.8467454 0.8128231 0.9080261
sal + temp Indo-Pacific (27.75,27.85] 0.9482355 0.9410713 0.9549208
sal + temp Indo-Pacific (27.85,27.95] 0.9388940 0.9309695 0.9429162
sal + temp Indo-Pacific (27.95,28.05] 0.9178052 0.9001671 0.9336640
sal + temp Indo-Pacific (28.05,28.1] 0.9463154 0.9428589 0.9491733
sal + temp Indo-Pacific (28.1, Inf] 0.6259371 0.6242107 0.6286830
silicate + phosphate Atlantic (-Inf,26] 0.2046549 -0.1741370 0.9358195
silicate + phosphate Atlantic (26,26.5] 0.4294250 0.1697002 0.9278759
silicate + phosphate Atlantic (26.5,27.25] 0.8699298 0.8604128 0.8803689
silicate + phosphate Atlantic (27.25,27.5] 0.8936112 0.8780363 0.9184508
silicate + phosphate Atlantic (27.5,27.75] 0.9159148 0.8984900 0.9365350
silicate + phosphate Atlantic (27.75,27.85] 0.9231593 0.9087355 0.9320409
silicate + phosphate Atlantic (27.85,27.95] 0.9420686 0.9081522 0.9604649
silicate + phosphate Atlantic (27.95,28.05] 0.9454884 0.9164641 0.9689215
silicate + phosphate Atlantic (28.05,28.1] 0.9688992 0.9558658 0.9853272
silicate + phosphate Atlantic (28.1,28.15] 0.9793528 0.9710172 0.9891616
silicate + phosphate Atlantic (28.15,28.2] 0.9676386 0.9634954 0.9736310
silicate + phosphate Atlantic (28.2, Inf] 0.8661580 0.8295180 0.9052449
silicate + phosphate Indo-Pacific (-Inf,26] 0.8834179 0.8482703 0.9175849
silicate + phosphate Indo-Pacific (26,27] 0.9056952 0.8927870 0.9196348
silicate + phosphate Indo-Pacific (27,27.25] 0.9499214 0.9394526 0.9604273
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9623321 0.9496107 0.9751963
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9732850 0.9634951 0.9822069
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9823987 0.9739200 0.9877477
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9862694 0.9786672 0.9905114
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9885979 0.9830402 0.9920146
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9942401 0.9917912 0.9956744
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8870915 0.8720375 0.8986022
silicate + phosphate_star Atlantic (-Inf,26] 0.1569980 -0.2663803 0.8800414
silicate + phosphate_star Atlantic (26,26.5] -0.0280135 -0.3171113 0.5407822
silicate + phosphate_star Atlantic (26.5,27.25] 0.6436852 0.5873691 0.7004148
silicate + phosphate_star Atlantic (27.25,27.5] 0.6415463 0.5597833 0.7249999
silicate + phosphate_star Atlantic (27.5,27.75] 0.8606128 0.8514946 0.8740986
silicate + phosphate_star Atlantic (27.75,27.85] 0.9432710 0.9241694 0.9593931
silicate + phosphate_star Atlantic (27.85,27.95] 0.9602591 0.9454275 0.9684082
silicate + phosphate_star Atlantic (27.95,28.05] 0.9697196 0.9582937 0.9822745
silicate + phosphate_star Atlantic (28.05,28.1] 0.9767143 0.9711901 0.9827630
silicate + phosphate_star Atlantic (28.1,28.15] 0.9754842 0.9675959 0.9859278
silicate + phosphate_star Atlantic (28.15,28.2] 0.9490845 0.9403988 0.9599541
silicate + phosphate_star Atlantic (28.2, Inf] 0.8864124 0.8635126 0.9069375
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7128747 0.5845919 0.7942867
silicate + phosphate_star Indo-Pacific (26,27] 0.7412737 0.7245891 0.7651472
silicate + phosphate_star Indo-Pacific (27,27.25] 0.8325133 0.8264787 0.8357349
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.6622641 0.6152827 0.6933633
silicate + phosphate_star Indo-Pacific (27.5,27.75] 0.2280408 0.1534808 0.3195101
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.1868934 -0.2775031 -0.0381092
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.2876318 -0.3991093 -0.0806825
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.3012602 -0.4306197 -0.1069579
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.1865751 -0.3123610 -0.0657761
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.2178969 -0.3396122 -0.0163408
temp + aou Atlantic (-Inf,26] -0.5854450 -0.8190946 -0.4595429
temp + aou Atlantic (26,26.5] -0.1339120 -0.3609331 0.1237815
temp + aou Atlantic (26.5,27.25] 0.0593448 0.0174879 0.1135268
temp + aou Atlantic (27.25,27.5] 0.6223912 0.5615761 0.6637137
temp + aou Atlantic (27.5,27.75] 0.6177136 0.5463354 0.7438002
temp + aou Atlantic (27.75,27.85] 0.5212794 0.4325109 0.6048131
temp + aou Atlantic (27.85,27.95] 0.2839173 0.1830263 0.4320848
temp + aou Atlantic (27.95,28.05] -0.0834257 -0.1431434 -0.0366970
temp + aou Atlantic (28.05,28.1] -0.5772704 -0.6428055 -0.4483672
temp + aou Atlantic (28.1,28.15] -0.7359493 -0.7765581 -0.7128442
temp + aou Atlantic (28.15,28.2] -0.8239407 -0.8463396 -0.8098379
temp + aou Atlantic (28.2, Inf] -0.8213251 -0.8549910 -0.7629141
temp + aou Indo-Pacific (-Inf,26] -0.4118424 -0.5296818 -0.2470318
temp + aou Indo-Pacific (26,27] -0.2221349 -0.4133126 -0.1086328
temp + aou Indo-Pacific (27,27.25] -0.5642080 -0.6643581 -0.5045103
temp + aou Indo-Pacific (27.25,27.5] -0.4206249 -0.5578792 -0.2485382
temp + aou Indo-Pacific (27.5,27.75] 0.0681233 -0.0237849 0.2295150
temp + aou Indo-Pacific (27.75,27.85] 0.5078216 0.4675608 0.5403257
temp + aou Indo-Pacific (27.85,27.95] 0.6539160 0.5578557 0.7074666
temp + aou Indo-Pacific (27.95,28.05] 0.7644608 0.6704379 0.8211546
temp + aou Indo-Pacific (28.05,28.1] 0.7966883 0.7061272 0.8478866
temp + aou Indo-Pacific (28.1, Inf] 0.8412443 0.7828306 0.8755944
temp + nitrate Atlantic (-Inf,26] -0.6483722 -0.7780871 -0.5012004
temp + nitrate Atlantic (26,26.5] -0.2057842 -0.4995756 0.0661456
temp + nitrate Atlantic (26.5,27.25] -0.1079039 -0.1458584 -0.0389047
temp + nitrate Atlantic (27.25,27.5] 0.5239712 0.4739598 0.5560552
temp + nitrate Atlantic (27.5,27.75] 0.3318107 0.0938335 0.5644902
temp + nitrate Atlantic (27.75,27.85] -0.3088902 -0.4254369 -0.2002941
temp + nitrate Atlantic (27.85,27.95] -0.4814390 -0.6323010 -0.3918387
temp + nitrate Atlantic (27.95,28.05] -0.5853957 -0.7427575 -0.4902126
temp + nitrate Atlantic (28.05,28.1] -0.7798339 -0.8828504 -0.6690059
temp + nitrate Atlantic (28.1,28.15] -0.8590454 -0.9005761 -0.8181253
temp + nitrate Atlantic (28.15,28.2] -0.8958219 -0.9211880 -0.8734618
temp + nitrate Atlantic (28.2, Inf] -0.9209951 -0.9546983 -0.8825822
temp + nitrate Indo-Pacific (-Inf,26] -0.5665420 -0.6905770 -0.3940082
temp + nitrate Indo-Pacific (26,27] -0.5026011 -0.6647451 -0.3161613
temp + nitrate Indo-Pacific (27,27.25] -0.6619115 -0.7693056 -0.5224668
temp + nitrate Indo-Pacific (27.25,27.5] -0.5249282 -0.6468473 -0.4322082
temp + nitrate Indo-Pacific (27.5,27.75] -0.0189450 -0.1198511 0.0538538
temp + nitrate Indo-Pacific (27.75,27.85] 0.4637149 0.3045674 0.6179623
temp + nitrate Indo-Pacific (27.85,27.95] 0.6047919 0.4197888 0.7469714
temp + nitrate Indo-Pacific (27.95,28.05] 0.6864346 0.5439770 0.7730822
temp + nitrate Indo-Pacific (28.05,28.1] 0.7219683 0.5836372 0.8053974
temp + nitrate Indo-Pacific (28.1, Inf] 0.7690356 0.6589833 0.8395245
temp + phosphate Atlantic (-Inf,26] -0.5335542 -0.8077619 -0.3590973
temp + phosphate Atlantic (26,26.5] -0.3375134 -0.5306201 -0.1021004
temp + phosphate Atlantic (26.5,27.25] -0.1758115 -0.2308942 -0.1053488
temp + phosphate Atlantic (27.25,27.5] 0.4228581 0.3708198 0.4814467
temp + phosphate Atlantic (27.5,27.75] 0.2543249 0.0016539 0.4948399
temp + phosphate Atlantic (27.75,27.85] -0.3567386 -0.4755519 -0.2511570
temp + phosphate Atlantic (27.85,27.95] -0.5139453 -0.6621642 -0.4334007
temp + phosphate Atlantic (27.95,28.05] -0.6043586 -0.7533358 -0.5187757
temp + phosphate Atlantic (28.05,28.1] -0.7911993 -0.8873547 -0.6819761
temp + phosphate Atlantic (28.1,28.15] -0.8687423 -0.9050322 -0.8305863
temp + phosphate Atlantic (28.15,28.2] -0.8944174 -0.9121726 -0.8745919
temp + phosphate Atlantic (28.2, Inf] -0.9087176 -0.9408662 -0.8685719
temp + phosphate Indo-Pacific (-Inf,26] -0.5014609 -0.6259799 -0.3427442
temp + phosphate Indo-Pacific (26,27] -0.4365267 -0.6227515 -0.2419569
temp + phosphate Indo-Pacific (27,27.25] -0.6009906 -0.7278674 -0.4266612
temp + phosphate Indo-Pacific (27.25,27.5] -0.4843370 -0.6267328 -0.3957178
temp + phosphate Indo-Pacific (27.5,27.75] -0.0014126 -0.1082154 0.0557856
temp + phosphate Indo-Pacific (27.75,27.85] 0.4522462 0.3528882 0.5557195
temp + phosphate Indo-Pacific (27.85,27.95] 0.5948683 0.4609790 0.6870931
temp + phosphate Indo-Pacific (27.95,28.05] 0.7051404 0.5921739 0.7751885
temp + phosphate Indo-Pacific (28.05,28.1] 0.7437876 0.6357272 0.8097356
temp + phosphate Indo-Pacific (28.1, Inf] 0.7950827 0.7065065 0.8526010
temp + phosphate_star Atlantic (-Inf,26] -0.7161589 -0.8827505 -0.5395872
temp + phosphate_star Atlantic (26,26.5] -0.8165380 -0.8578847 -0.7906887
temp + phosphate_star Atlantic (26.5,27.25] -0.8391185 -0.8542322 -0.8253346
temp + phosphate_star Atlantic (27.25,27.5] -0.5115369 -0.5546775 -0.4396741
temp + phosphate_star Atlantic (27.5,27.75] -0.3863867 -0.5907497 -0.2181074
temp + phosphate_star Atlantic (27.75,27.85] -0.7629528 -0.8412995 -0.6583234
temp + phosphate_star Atlantic (27.85,27.95] -0.7985650 -0.8965612 -0.7492554
temp + phosphate_star Atlantic (27.95,28.05] -0.8078930 -0.9087843 -0.7525841
temp + phosphate_star Atlantic (28.05,28.1] -0.8970999 -0.9567499 -0.8395101
temp + phosphate_star Atlantic (28.1,28.15] -0.9367340 -0.9628659 -0.9172060
temp + phosphate_star Atlantic (28.15,28.2] -0.9427411 -0.9608353 -0.9220102
temp + phosphate_star Atlantic (28.2, Inf] -0.9267570 -0.9447705 -0.8912038
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8194096 -0.8670604 -0.7796546
temp + phosphate_star Indo-Pacific (26,27] -0.8649260 -0.9646502 -0.6892025
temp + phosphate_star Indo-Pacific (27,27.25] -0.7740958 -0.9680385 -0.4525284
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.7219368 -0.9625131 -0.3614013
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.6448884 -0.9708676 -0.1716789
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.7529063 -0.9490903 -0.4837603
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.8273220 -0.9168844 -0.6650574
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.8483140 -0.8879657 -0.8251796
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.7146246 -0.7601078 -0.6509289
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.6817470 -0.6845059 -0.6780672
temp + silicate Atlantic (-Inf,26] -0.3736960 -0.5672720 -0.1628081
temp + silicate Atlantic (26,26.5] -0.0915037 -0.5521930 0.1597056
temp + silicate Atlantic (26.5,27.25] -0.3447687 -0.4866605 -0.2595553
temp + silicate Atlantic (27.25,27.5] 0.2554779 0.2264205 0.3069137
temp + silicate Atlantic (27.5,27.75] 0.0361831 -0.2097252 0.2696447
temp + silicate Atlantic (27.75,27.85] -0.6106292 -0.6614011 -0.5440401
temp + silicate Atlantic (27.85,27.95] -0.7103106 -0.7812416 -0.6402525
temp + silicate Atlantic (27.95,28.05] -0.7807876 -0.8324800 -0.7398454
temp + silicate Atlantic (28.05,28.1] -0.8779262 -0.9129234 -0.8098354
temp + silicate Atlantic (28.1,28.15] -0.9057906 -0.9125955 -0.8926719
temp + silicate Atlantic (28.15,28.2] -0.8421944 -0.8589438 -0.8313417
temp + silicate Atlantic (28.2, Inf] -0.7210738 -0.7901577 -0.6392995
temp + silicate Indo-Pacific (-Inf,26] -0.5871109 -0.7250495 -0.3654134
temp + silicate Indo-Pacific (26,27] -0.5622912 -0.6756618 -0.3775971
temp + silicate Indo-Pacific (27,27.25] -0.6855077 -0.7824370 -0.5009159
temp + silicate Indo-Pacific (27.25,27.5] -0.5870147 -0.6920479 -0.4579770
temp + silicate Indo-Pacific (27.5,27.75] -0.0974627 -0.1861516 0.0043887
temp + silicate Indo-Pacific (27.75,27.85] 0.3961915 0.2160743 0.5618253
temp + silicate Indo-Pacific (27.85,27.95] 0.5453237 0.3460515 0.6833962
temp + silicate Indo-Pacific (27.95,28.05] 0.6614255 0.5143648 0.7458606
temp + silicate Indo-Pacific (28.05,28.1] 0.7310126 0.6041469 0.8115901
temp + silicate Indo-Pacific (28.1, Inf] 0.7147138 0.5799997 0.8064209 
rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

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

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

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

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

Version Author Date
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
predictor basin gamma_slab mean_r min_r max_r
aou Atlantic (-Inf,26] 0.0318962 -0.4669230 0.3480978
aou Atlantic (26,26.5] -0.0813977 -0.2171843 0.0610891
aou Atlantic (26.5,27.25] -0.4267020 -0.5548454 -0.3400289
aou Atlantic (27.25,27.5] -0.6594234 -0.7470801 -0.5559861
aou Atlantic (27.5,27.75] -0.5559986 -0.7707216 -0.3672521
aou Atlantic (27.75,27.85] -0.3550005 -0.4644221 -0.1446588
aou Atlantic (27.85,27.95] -0.5338599 -0.7299409 -0.2762031
aou Atlantic (27.95,28.05] -0.7553917 -0.8804137 -0.6165980
aou Atlantic (28.05,28.1] -0.9405073 -0.9643049 -0.9101836
aou Atlantic (28.1,28.15] -0.9585928 -0.9853394 -0.9279259
aou Atlantic (28.15,28.2] -0.9651014 -0.9858745 -0.9514302
aou Atlantic (28.2, Inf] -0.8173077 -0.9223423 -0.7579194
aou Indo-Pacific (-Inf,26] 0.3465336 0.2137241 0.4980280
aou Indo-Pacific (26,27] -0.5992279 -0.6547999 -0.5604841
aou Indo-Pacific (27,27.25] -0.6844128 -0.7015873 -0.6579316
aou Indo-Pacific (27.25,27.5] -0.5238753 -0.6654283 -0.3939362
aou Indo-Pacific (27.5,27.75] -0.0506338 -0.4300514 0.3653813
aou Indo-Pacific (27.75,27.85] 0.2834548 -0.0910205 0.7038181
aou Indo-Pacific (27.85,27.95] 0.3314176 0.0965873 0.6473907
aou Indo-Pacific (27.95,28.05] 0.2985168 0.0600042 0.4761247
aou Indo-Pacific (28.05,28.1] 0.3879254 0.2754846 0.4486214
aou Indo-Pacific (28.1, Inf] 0.5895770 0.4534715 0.6653593
nitrate Atlantic (-Inf,26] -0.1224501 -0.5307698 0.0989495
nitrate Atlantic (26,26.5] -0.1944975 -0.2594710 -0.1249878
nitrate Atlantic (26.5,27.25] -0.5601255 -0.6903906 -0.4685647
nitrate Atlantic (27.25,27.5] -0.8581991 -0.8934921 -0.7919183
nitrate Atlantic (27.5,27.75] -0.9155641 -0.9606321 -0.8835120
nitrate Atlantic (27.75,27.85] -0.9579483 -0.9760339 -0.9433404
nitrate Atlantic (27.85,27.95] -0.9792126 -0.9886469 -0.9699857
nitrate Atlantic (27.95,28.05] -0.9524703 -0.9808384 -0.9353965
nitrate Atlantic (28.05,28.1] -0.9931843 -0.9947486 -0.9917974
nitrate Atlantic (28.1,28.15] -0.9925329 -0.9938800 -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 Indo-Pacific (-Inf,26] 0.3760877 0.2439680 0.5355519
nitrate Indo-Pacific (26,27] -0.5851346 -0.6351251 -0.5370245
nitrate Indo-Pacific (27,27.25] -0.6584174 -0.6774082 -0.6418211
nitrate Indo-Pacific (27.25,27.5] -0.5209492 -0.6096122 -0.4416170
nitrate Indo-Pacific (27.5,27.75] -0.0462277 -0.3467600 0.2937972
nitrate Indo-Pacific (27.75,27.85] 0.4119858 0.1490821 0.7316428
nitrate Indo-Pacific (27.85,27.95] 0.4684940 0.3345659 0.7065329
nitrate Indo-Pacific (27.95,28.05] 0.3640453 0.1157958 0.5586771
nitrate Indo-Pacific (28.05,28.1] 0.4535354 0.3193790 0.5346116
nitrate Indo-Pacific (28.1, Inf] 0.6078120 0.4817418 0.6729069
phosphate Atlantic (-Inf,26] 0.0042251 -0.4825632 0.2963805
phosphate Atlantic (26,26.5] -0.1228004 -0.2968131 0.0265471
phosphate Atlantic (26.5,27.25] -0.5685446 -0.7274353 -0.4714216
phosphate Atlantic (27.25,27.5] -0.8557861 -0.9045902 -0.7920882
phosphate Atlantic (27.5,27.75] -0.9226452 -0.9596606 -0.8979055
phosphate Atlantic (27.75,27.85] -0.9681544 -0.9825680 -0.9571721
phosphate Atlantic (27.85,27.95] -0.9825534 -0.9889388 -0.9772858
phosphate Atlantic (27.95,28.05] -0.9566818 -0.9810561 -0.9433943
phosphate Atlantic (28.05,28.1] -0.9925229 -0.9938737 -0.9915347
phosphate Atlantic (28.1,28.15] -0.9916329 -0.9929533 -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 Indo-Pacific (-Inf,26] 0.3033861 0.1476316 0.4885556
phosphate Indo-Pacific (26,27] -0.6669042 -0.6840634 -0.6437189
phosphate Indo-Pacific (27,27.25] -0.7430187 -0.7786174 -0.7158067
phosphate Indo-Pacific (27.25,27.5] -0.5957755 -0.7303573 -0.4865379
phosphate Indo-Pacific (27.5,27.75] -0.0760932 -0.4215334 0.2977127
phosphate Indo-Pacific (27.75,27.85] 0.3633892 0.0401587 0.7297620
phosphate Indo-Pacific (27.85,27.95] 0.4083188 0.1964299 0.6953897
phosphate Indo-Pacific (27.95,28.05] 0.3528404 0.1181661 0.5271266
phosphate Indo-Pacific (28.05,28.1] 0.4301936 0.3163816 0.4957232
phosphate Indo-Pacific (28.1, Inf] 0.5703198 0.4072663 0.6520544
phosphate_star Atlantic (-Inf,26] 0.0984178 -0.3557901 0.3655891
phosphate_star Atlantic (26,26.5] 0.1085890 -0.0093233 0.2509999
phosphate_star Atlantic (26.5,27.25] -0.3396981 -0.5348565 -0.2394741
phosphate_star Atlantic (27.25,27.5] -0.4254140 -0.5397807 -0.2980064
phosphate_star Atlantic (27.5,27.75] -0.7323866 -0.7826896 -0.6826006
phosphate_star Atlantic (27.75,27.85] -0.8936460 -0.9326829 -0.8664688
phosphate_star Atlantic (27.85,27.95] -0.9131474 -0.9405794 -0.8966611
phosphate_star Atlantic (27.95,28.05] -0.8945396 -0.9129536 -0.8754666
phosphate_star Atlantic (28.05,28.1] -0.9594320 -0.9746948 -0.9422251
phosphate_star Atlantic (28.1,28.15] -0.9645476 -0.9793130 -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 Indo-Pacific (-Inf,26] 0.3921653 0.2307947 0.5626056
phosphate_star Indo-Pacific (26,27] -0.3823098 -0.4248828 -0.3494118
phosphate_star Indo-Pacific (27,27.25] -0.5418971 -0.6295692 -0.4330117
phosphate_star Indo-Pacific (27.25,27.5] -0.5005217 -0.5320159 -0.4725765
phosphate_star Indo-Pacific (27.5,27.75] -0.1353582 -0.3163404 -0.0149130
phosphate_star Indo-Pacific (27.75,27.85] 0.3798711 0.0942143 0.6187823
phosphate_star Indo-Pacific (27.85,27.95] 0.3592824 0.2715522 0.4075545
phosphate_star Indo-Pacific (27.95,28.05] 0.4398130 0.3531846 0.5808559
phosphate_star Indo-Pacific (28.05,28.1] 0.3899708 0.2946865 0.4953016
phosphate_star Indo-Pacific (28.1, Inf] -0.2414019 -0.3231660 -0.1978025
sal Atlantic (-Inf,26] 0.4813172 0.1784959 0.8704162
sal Atlantic (26,26.5] -0.4177560 -0.5816360 -0.2378264
sal Atlantic (26.5,27.25] -0.2666189 -0.3807610 -0.0453492
sal Atlantic (27.25,27.5] -0.5281066 -0.6001885 -0.4880541
sal Atlantic (27.5,27.75] -0.3424355 -0.5889663 -0.1460502
sal Atlantic (27.75,27.85] 0.3406253 0.2763835 0.4459150
sal Atlantic (27.85,27.95] 0.4619477 0.3128641 0.6146595
sal Atlantic (27.95,28.05] 0.4746412 0.3681666 0.6243344
sal Atlantic (28.05,28.1] 0.8382709 0.7776230 0.8976166
sal Atlantic (28.1,28.15] 0.9104685 0.8862864 0.9264666
sal Atlantic (28.15,28.2] 0.9116880 0.8820999 0.9264913
sal Atlantic (28.2, Inf] 0.8595183 0.8081980 0.9202461
sal Indo-Pacific (-Inf,26] -0.1321123 -0.3311502 0.1014759
sal Indo-Pacific (26,27] 0.0578302 -0.3356809 0.2668761
sal Indo-Pacific (27,27.25] 0.1346594 -0.1131248 0.2947318
sal Indo-Pacific (27.25,27.5] 0.0644587 -0.0722051 0.1452405
sal Indo-Pacific (27.5,27.75] -0.1612432 -0.3111810 0.0260247
sal Indo-Pacific (27.75,27.85] 0.0776812 -0.0613408 0.3229828
sal Indo-Pacific (27.85,27.95] 0.1367875 -0.0533775 0.5155907
sal Indo-Pacific (27.95,28.05] -0.1695565 -0.3018237 -0.0842221
sal Indo-Pacific (28.05,28.1] -0.0075019 -0.1328870 0.1166779
sal Indo-Pacific (28.1, Inf] 0.2027490 0.0693844 0.2794289
silicate Atlantic (-Inf,26] -0.4771624 -0.7546954 -0.2528461
silicate Atlantic (26,26.5] -0.2604949 -0.3709042 -0.1537429
silicate Atlantic (26.5,27.25] -0.7154383 -0.8215289 -0.6446779
silicate Atlantic (27.25,27.5] -0.9123468 -0.9400010 -0.8979371
silicate Atlantic (27.5,27.75] -0.9204797 -0.9329533 -0.9002777
silicate Atlantic (27.75,27.85] -0.9426927 -0.9449005 -0.9391508
silicate Atlantic (27.85,27.95] -0.9361430 -0.9436466 -0.9242796
silicate Atlantic (27.95,28.05] -0.8813239 -0.9084127 -0.8471103
silicate Atlantic (28.05,28.1] -0.9444805 -0.9664416 -0.9307518
silicate Atlantic (28.1,28.15] -0.9563848 -0.9739154 -0.9453054
silicate Atlantic (28.15,28.2] -0.9473448 -0.9604263 -0.9314690
silicate Atlantic (28.2, Inf] -0.8896279 -0.9366779 -0.8515038
silicate Indo-Pacific (-Inf,26] 0.2704373 -0.0010305 0.4944135
silicate Indo-Pacific (26,27] -0.6314502 -0.6611673 -0.6017597
silicate Indo-Pacific (27,27.25] -0.6173251 -0.6587581 -0.5710582
silicate Indo-Pacific (27.25,27.5] -0.4640269 -0.5994936 -0.3383472
silicate Indo-Pacific (27.5,27.75] 0.0141762 -0.3053872 0.3704710
silicate Indo-Pacific (27.75,27.85] 0.4390574 0.1465273 0.7889227
silicate Indo-Pacific (27.85,27.95] 0.4670387 0.2636473 0.7631164
silicate Indo-Pacific (27.95,28.05] 0.3932937 0.1436974 0.5992387
silicate Indo-Pacific (28.05,28.1] 0.4646133 0.3306090 0.5404415
silicate Indo-Pacific (28.1, Inf] 0.5612135 0.4393597 0.6461402
temp Atlantic (-Inf,26] -0.3926088 -0.5714704 -0.1113915
temp Atlantic (26,26.5] -0.4679286 -0.6167982 -0.3513937
temp Atlantic (26.5,27.25] -0.1357524 -0.2931675 0.1305748
temp Atlantic (27.25,27.5] -0.5427685 -0.6180100 -0.4971112
temp Atlantic (27.5,27.75] -0.3172699 -0.5493052 -0.0997977
temp Atlantic (27.75,27.85] 0.4113949 0.3471320 0.4965485
temp Atlantic (27.85,27.95] 0.5035959 0.4020483 0.6230615
temp Atlantic (27.95,28.05] 0.4932847 0.4228558 0.6195544
temp Atlantic (28.05,28.1] 0.7446708 0.6107229 0.8460729
temp Atlantic (28.1,28.15] 0.8210864 0.7554702 0.8661829
temp Atlantic (28.15,28.2] 0.8700271 0.8549840 0.8991344
temp Atlantic (28.2, Inf] 0.8734885 0.8057190 0.9081239
temp Indo-Pacific (-Inf,26] -0.7412699 -0.7964882 -0.6853085
temp Indo-Pacific (26,27] 0.0157117 -0.3119580 0.2022367
temp Indo-Pacific (27,27.25] 0.1215013 -0.1329476 0.2785054
temp Indo-Pacific (27.25,27.5] 0.1785012 0.0282539 0.2665166
temp Indo-Pacific (27.5,27.75] 0.0609024 -0.0294171 0.2282288
temp Indo-Pacific (27.75,27.85] 0.0154389 -0.1292197 0.1796816
temp Indo-Pacific (27.85,27.95] 0.0204022 -0.1537574 0.3070741
temp Indo-Pacific (27.95,28.05] -0.2414190 -0.3913789 -0.1644310
temp Indo-Pacific (28.05,28.1] -0.1208131 -0.1863792 -0.0091388
temp Indo-Pacific (28.1, Inf] 0.3570013 0.1543018 0.4838104 
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