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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))))
)
}

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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)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          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()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

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
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
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] 0.8491718 0.8188015 0.8648373
aou + nitrate Atlantic (26,26.5] 0.9221271 0.9180623 0.9243164
aou + nitrate Atlantic (26.5,26.75] 0.9746831 0.9723006 0.9767536
aou + nitrate Atlantic (26.75,27] 0.9824299 0.9794079 0.9850522
aou + nitrate Atlantic (27,27.25] 0.9623684 0.9598671 0.9652602
aou + nitrate Atlantic (27.25,27.5] 0.8449186 0.8353540 0.8542345
aou + nitrate Atlantic (27.5,27.75] 0.6061214 0.5916891 0.6219732
aou + nitrate Atlantic (27.75,27.85] 0.4098450 0.3758754 0.4565530
aou + nitrate Atlantic (27.85,27.95] 0.6002413 0.5236222 0.6890218
aou + nitrate Atlantic (27.95,28.05] 0.3862515 0.3617361 0.4304416
aou + nitrate Atlantic (28.05,28.1] 0.6237315 0.5839826 0.6749153
aou + nitrate Atlantic (28.1,28.15] 0.8898485 0.8621975 0.9091198
aou + nitrate Atlantic (28.15,28.2] 0.9378346 0.9294044 0.9455011
aou + nitrate Atlantic (28.2, Inf] 0.9220599 0.9163343 0.9276561
aou + nitrate Indo-Pacific (-Inf,26] 0.9332202 0.9307551 0.9347468
aou + nitrate Indo-Pacific (26,26.5] 0.8503076 0.8457147 0.8546915
aou + nitrate Indo-Pacific (26.5,26.75] 0.7779526 0.7768283 0.7790296
aou + nitrate Indo-Pacific (26.75,27] 0.8386645 0.8318500 0.8486520
aou + nitrate Indo-Pacific (27,27.25] 0.9234614 0.9195647 0.9295833
aou + nitrate Indo-Pacific (27.25,27.5] 0.9492900 0.9477953 0.9510045
aou + nitrate Indo-Pacific (27.5,27.75] 0.9722551 0.9717202 0.9730845
aou + nitrate Indo-Pacific (27.75,27.85] 0.9910837 0.9903001 0.9918034
aou + nitrate Indo-Pacific (27.85,27.95] 0.9901713 0.9895916 0.9911297
aou + nitrate Indo-Pacific (27.95,28.05] 0.9890941 0.9885356 0.9894875
aou + nitrate Indo-Pacific (28.05,28.1] 0.9895308 0.9891161 0.9899416
aou + nitrate Indo-Pacific (28.1, Inf] 0.9906683 0.9901616 0.9909432
aou + phosphate Atlantic (-Inf,26] 0.9252678 0.9173502 0.9350783
aou + phosphate Atlantic (26,26.5] 0.8964774 0.8904731 0.9035121
aou + phosphate Atlantic (26.5,26.75] 0.9523589 0.9486324 0.9546100
aou + phosphate Atlantic (26.75,27] 0.9633579 0.9599907 0.9657688
aou + phosphate Atlantic (27,27.25] 0.9227782 0.9206733 0.9246196
aou + phosphate Atlantic (27.25,27.5] 0.7814649 0.7711816 0.7924739
aou + phosphate Atlantic (27.5,27.75] 0.5353279 0.5189811 0.5536518
aou + phosphate Atlantic (27.75,27.85] 0.3401662 0.3025449 0.3907743
aou + phosphate Atlantic (27.85,27.95] 0.5669658 0.4856678 0.6607246
aou + phosphate Atlantic (27.95,28.05] 0.3679828 0.3428249 0.4122338
aou + phosphate Atlantic (28.05,28.1] 0.6180089 0.5788534 0.6694716
aou + phosphate Atlantic (28.1,28.15] 0.8896144 0.8620096 0.9087506
aou + phosphate Atlantic (28.15,28.2] 0.9443605 0.9359862 0.9524081
aou + phosphate Atlantic (28.2, Inf] 0.9270872 0.9242915 0.9314672
aou + phosphate Indo-Pacific (-Inf,26] 0.9676608 0.9662069 0.9684948
aou + phosphate Indo-Pacific (26,26.5] 0.9606343 0.9589529 0.9628021
aou + phosphate Indo-Pacific (26.5,26.75] 0.9735898 0.9731910 0.9742112
aou + phosphate Indo-Pacific (26.75,27] 0.9752969 0.9743493 0.9761994
aou + phosphate Indo-Pacific (27,27.25] 0.9852724 0.9847917 0.9855187
aou + phosphate Indo-Pacific (27.25,27.5] 0.9861237 0.9856648 0.9868493
aou + phosphate Indo-Pacific (27.5,27.75] 0.9889250 0.9888648 0.9889802
aou + phosphate Indo-Pacific (27.75,27.85] 0.9945172 0.9943778 0.9947689
aou + phosphate Indo-Pacific (27.85,27.95] 0.9951687 0.9948140 0.9956234
aou + phosphate Indo-Pacific (27.95,28.05] 0.9908620 0.9904568 0.9913467
aou + phosphate Indo-Pacific (28.05,28.1] 0.9926794 0.9923482 0.9931580
aou + phosphate Indo-Pacific (28.1, Inf] 0.9913398 0.9905379 0.9918889
aou + phosphate_star Atlantic (-Inf,26] 0.2118715 0.1121353 0.2701731
aou + phosphate_star Atlantic (26,26.5] 0.4068863 0.3892714 0.4179249
aou + phosphate_star Atlantic (26.5,26.75] 0.1736976 0.1717697 0.1764262
aou + phosphate_star Atlantic (26.75,27] -0.1224975 -0.1409344 -0.1052892
aou + phosphate_star Atlantic (27,27.25] -0.0367752 -0.0661768 -0.0214830
aou + phosphate_star Atlantic (27.25,27.5] -0.1481250 -0.1610819 -0.1351335
aou + phosphate_star Atlantic (27.5,27.75] -0.3154599 -0.3366357 -0.2954093
aou + phosphate_star Atlantic (27.75,27.85] -0.3207640 -0.3930312 -0.2343550
aou + phosphate_star Atlantic (27.85,27.95] 0.2151469 0.0884842 0.3538287
aou + phosphate_star Atlantic (27.95,28.05] -0.0211985 -0.0468988 0.0214614
aou + phosphate_star Atlantic (28.05,28.1] 0.3365171 0.2810570 0.4049039
aou + phosphate_star Atlantic (28.1,28.15] 0.7579132 0.7059049 0.7942387
aou + phosphate_star Atlantic (28.15,28.2] 0.8520203 0.8369573 0.8670958
aou + phosphate_star Atlantic (28.2, Inf] 0.8206635 0.8119503 0.8287101
aou + phosphate_star Indo-Pacific (-Inf,26] 0.5955076 0.5797837 0.6067289
aou + phosphate_star Indo-Pacific (26,26.5] 0.4273836 0.4152223 0.4416041
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4873281 0.4802153 0.4978291
aou + phosphate_star Indo-Pacific (26.75,27] 0.6127762 0.6040984 0.6299339
aou + phosphate_star Indo-Pacific (27,27.25] 0.6905561 0.6771902 0.7023819
aou + phosphate_star Indo-Pacific (27.25,27.5] 0.3279988 0.2618835 0.3933806
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.3081230 -0.3580797 -0.2644720
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.5778343 -0.5828216 -0.5690027
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.3661741 -0.3875955 -0.3446321
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.3718596 -0.4027212 -0.3463838
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.2496669 -0.3088605 -0.1787741
aou + phosphate_star Indo-Pacific (28.1, Inf] 0.1506744 0.1347108 0.1683046
aou + silicate Atlantic (-Inf,26] 0.1084161 0.0644843 0.1375805
aou + silicate Atlantic (26,26.5] 0.2831939 0.2311855 0.3169343
aou + silicate Atlantic (26.5,26.75] 0.6243304 0.5902109 0.6499876
aou + silicate Atlantic (26.75,27] 0.7988404 0.7908216 0.8059727
aou + silicate Atlantic (27,27.25] 0.7392949 0.7377436 0.7421105
aou + silicate Atlantic (27.25,27.5] 0.5309028 0.5205701 0.5406343
aou + silicate Atlantic (27.5,27.75] 0.2205129 0.2151594 0.2294415
aou + silicate Atlantic (27.75,27.85] -0.0448264 -0.0800155 0.0044970
aou + silicate Atlantic (27.85,27.95] 0.3157825 0.2109065 0.4384834
aou + silicate Atlantic (27.95,28.05] 0.3150544 0.2919574 0.3556039
aou + silicate Atlantic (28.05,28.1] 0.6437669 0.6150164 0.6871017
aou + silicate Atlantic (28.1,28.15] 0.9173582 0.8974603 0.9311597
aou + silicate Atlantic (28.15,28.2] 0.9455594 0.9415894 0.9489782
aou + silicate Atlantic (28.2, Inf] 0.7292379 0.7175199 0.7438548
aou + silicate Indo-Pacific (-Inf,26] 0.8377403 0.8324484 0.8433159
aou + silicate Indo-Pacific (26,26.5] 0.7721297 0.7677487 0.7756330
aou + silicate Indo-Pacific (26.5,26.75] 0.7860480 0.7814971 0.7946161
aou + silicate Indo-Pacific (26.75,27] 0.8745322 0.8715598 0.8780833
aou + silicate Indo-Pacific (27,27.25] 0.9405074 0.9392295 0.9412311
aou + silicate Indo-Pacific (27.25,27.5] 0.9544723 0.9538250 0.9557236
aou + silicate Indo-Pacific (27.5,27.75] 0.9652730 0.9649400 0.9656714
aou + silicate Indo-Pacific (27.75,27.85] 0.9829493 0.9823795 0.9836601
aou + silicate Indo-Pacific (27.85,27.95] 0.9823784 0.9819317 0.9827611
aou + silicate Indo-Pacific (27.95,28.05] 0.9873637 0.9866520 0.9877784
aou + silicate Indo-Pacific (28.05,28.1] 0.9909612 0.9905708 0.9916692
aou + silicate Indo-Pacific (28.1, Inf] 0.8240365 0.8222967 0.8251635
nitrate + phosphate Atlantic (-Inf,26] 0.6745232 0.6133187 0.7096560
nitrate + phosphate Atlantic (26,26.5] 0.8388218 0.8308107 0.8465150
nitrate + phosphate Atlantic (26.5,26.75] 0.9679296 0.9665417 0.9698937
nitrate + phosphate Atlantic (26.75,27] 0.9796586 0.9778507 0.9811235
nitrate + phosphate Atlantic (27,27.25] 0.9865999 0.9863171 0.9867553
nitrate + phosphate Atlantic (27.25,27.5] 0.9917905 0.9916554 0.9920096
nitrate + phosphate Atlantic (27.5,27.75] 0.9944609 0.9942739 0.9946416
nitrate + phosphate Atlantic (27.75,27.85] 0.9965598 0.9963413 0.9967591
nitrate + phosphate Atlantic (27.85,27.95] 0.9986910 0.9985466 0.9988061
nitrate + phosphate Atlantic (27.95,28.05] 0.9993833 0.9993425 0.9994255
nitrate + phosphate Atlantic (28.05,28.1] 0.9997874 0.9997712 0.9998104
nitrate + phosphate Atlantic (28.1,28.15] 0.9998167 0.9998106 0.9998269
nitrate + phosphate Atlantic (28.15,28.2] 0.9976878 0.9975025 0.9977901
nitrate + phosphate Atlantic (28.2, Inf] 0.9897434 0.9891814 0.9901713
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9539833 0.9510816 0.9554491
nitrate + phosphate Indo-Pacific (26,26.5] 0.8646731 0.8587936 0.8694746
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.7949512 0.7942971 0.7953442
nitrate + phosphate Indo-Pacific (26.75,27] 0.8592185 0.8503251 0.8698743
nitrate + phosphate Indo-Pacific (27,27.25] 0.9339132 0.9304300 0.9403292
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9540784 0.9533718 0.9547724
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9786308 0.9773440 0.9801173
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9946682 0.9944513 0.9948695
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9967892 0.9965784 0.9971864
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9987571 0.9986993 0.9988690
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9980897 0.9979866 0.9982722
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9950670 0.9949669 0.9951209
nitrate + phosphate_star Atlantic (-Inf,26] 0.1048781 -0.0360179 0.2050102
nitrate + phosphate_star Atlantic (26,26.5] 0.4192270 0.3991499 0.4482138
nitrate + phosphate_star Atlantic (26.5,26.75] 0.2892810 0.2849451 0.2929758
nitrate + phosphate_star Atlantic (26.75,27] -0.0020547 -0.0101891 0.0123182
nitrate + phosphate_star Atlantic (27,27.25] 0.2123669 0.1754121 0.2320493
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3934762 0.3880100 0.3986580
nitrate + phosphate_star Atlantic (27.5,27.75] 0.5470325 0.5427442 0.5501123
nitrate + phosphate_star Atlantic (27.75,27.85] 0.7285895 0.7016000 0.7551838
nitrate + phosphate_star Atlantic (27.85,27.95] 0.9072825 0.8928493 0.9196793
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9117736 0.9095601 0.9135896
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9445076 0.9420302 0.9466166
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9710312 0.9664833 0.9741959
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9781408 0.9774243 0.9791849
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9693280 0.9689860 0.9699376
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.7321960 0.7213416 0.7415302
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.5585040 0.5453562 0.5718342
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.5724752 0.5681560 0.5767374
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.6970078 0.6836308 0.7148975
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.7708500 0.7609698 0.7825327
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.4403055 0.3823449 0.4937178
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.1762150 -0.2303480 -0.1296560
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.5037150 -0.5065484 -0.4987307
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.2592591 -0.2779784 -0.2416288
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.2378616 -0.2709645 -0.2071900
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.1157099 -0.1755910 -0.0467173
nitrate + phosphate_star Indo-Pacific (28.1, Inf] 0.2600373 0.2426923 0.2752367
nitrate + silicate Atlantic (-Inf,26] 0.5952958 0.5384419 0.6536910
nitrate + silicate Atlantic (26,26.5] 0.5636221 0.5346109 0.5807834
nitrate + silicate Atlantic (26.5,26.75] 0.7048976 0.6766290 0.7237770
nitrate + silicate Atlantic (26.75,27] 0.8562441 0.8529797 0.8616969
nitrate + silicate Atlantic (27,27.25] 0.8719490 0.8689709 0.8737660
nitrate + silicate Atlantic (27.25,27.5] 0.8574064 0.8523444 0.8622211
nitrate + silicate Atlantic (27.5,27.75] 0.8600673 0.8589860 0.8620528
nitrate + silicate Atlantic (27.75,27.85] 0.8385978 0.8338974 0.8436942
nitrate + silicate Atlantic (27.85,27.95] 0.9161815 0.9076363 0.9243691
nitrate + silicate Atlantic (27.95,28.05] 0.9678728 0.9669693 0.9685417
nitrate + silicate Atlantic (28.05,28.1] 0.9832457 0.9817234 0.9848382
nitrate + silicate Atlantic (28.1,28.15] 0.9858563 0.9850693 0.9863093
nitrate + silicate Atlantic (28.15,28.2] 0.9139737 0.9113553 0.9165869
nitrate + silicate Atlantic (28.2, Inf] 0.7025244 0.6953538 0.7095462
nitrate + silicate Indo-Pacific (-Inf,26] 0.8581475 0.8542197 0.8610330
nitrate + silicate Indo-Pacific (26,26.5] 0.7873239 0.7788088 0.7967481
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8210195 0.8201040 0.8226697
nitrate + silicate Indo-Pacific (26.75,27] 0.8720998 0.8669493 0.8781685
nitrate + silicate Indo-Pacific (27,27.25] 0.9373618 0.9343016 0.9417357
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9599042 0.9590968 0.9605324
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9791251 0.9787958 0.9794293
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9896092 0.9890744 0.9899821
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9892691 0.9890348 0.9897189
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9915421 0.9913022 0.9919106
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9900057 0.9899270 0.9901283
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8351691 0.8321995 0.8379752
phosphate + phosphate_star Atlantic (-Inf,26] 0.5102688 0.4414331 0.5627903
phosphate + phosphate_star Atlantic (26,26.5] 0.7579816 0.7468660 0.7715382
phosphate + phosphate_star Atlantic (26.5,26.75] 0.4611470 0.4531833 0.4707091
phosphate + phosphate_star Atlantic (26.75,27] 0.1431962 0.1354166 0.1562352
phosphate + phosphate_star Atlantic (27,27.25] 0.3460941 0.3142316 0.3633028
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4966416 0.4919714 0.4998990
phosphate + phosphate_star Atlantic (27.5,27.75] 0.6235251 0.6207895 0.6266086
phosphate + phosphate_star Atlantic (27.75,27.85] 0.7788350 0.7558017 0.8016233
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9244273 0.9124636 0.9347742
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9204462 0.9184999 0.9218280
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9472914 0.9444543 0.9494220
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9715076 0.9669145 0.9747720
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9761204 0.9752201 0.9771638
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9720304 0.9704599 0.9728764
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.7637981 0.7547415 0.7715956
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.6564293 0.6507557 0.6624365
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6668340 0.6628744 0.6727394
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.7597790 0.7528008 0.7708986
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.7991495 0.7903432 0.8075948
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.4766932 0.4172348 0.5341515
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.1661058 -0.2175792 -0.1209954
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.4919664 -0.4966354 -0.4843616
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.2766811 -0.2951535 -0.2590482
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.2468047 -0.2782690 -0.2173618
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.1344239 -0.1937386 -0.0660247
phosphate + phosphate_star Indo-Pacific (28.1, Inf] 0.2742939 0.2545071 0.2895974
sal + aou Atlantic (-Inf,26] -0.3925965 -0.4255687 -0.3671048
sal + aou Atlantic (26,26.5] -0.3758073 -0.4028281 -0.3394910
sal + aou Atlantic (26.5,26.75] 0.2586136 0.2510568 0.2696991
sal + aou Atlantic (26.75,27] 0.4623536 0.4487406 0.4845452
sal + aou Atlantic (27,27.25] 0.3617781 0.3335811 0.4011311
sal + aou Atlantic (27.25,27.5] 0.3856901 0.3725549 0.3985485
sal + aou Atlantic (27.5,27.75] 0.6694901 0.6575801 0.6844957
sal + aou Atlantic (27.75,27.85] 0.6381867 0.5546460 0.6960293
sal + aou Atlantic (27.85,27.95] 0.1742276 0.0595029 0.3005141
sal + aou Atlantic (27.95,28.05] 0.0313598 0.0002493 0.0525591
sal + aou Atlantic (28.05,28.1] -0.3338910 -0.3959005 -0.2879449
sal + aou Atlantic (28.1,28.15] -0.7486709 -0.7826250 -0.6998889
sal + aou Atlantic (28.15,28.2] -0.8032137 -0.8091176 -0.7924816
sal + aou Atlantic (28.2, Inf] -0.6741426 -0.6891884 -0.6576484
sal + aou Indo-Pacific (-Inf,26] -0.2350379 -0.2500664 -0.2215218
sal + aou Indo-Pacific (26,26.5] -0.1593027 -0.1637367 -0.1536487
sal + aou Indo-Pacific (26.5,26.75] -0.1971986 -0.2032262 -0.1919458
sal + aou Indo-Pacific (26.75,27] -0.4070527 -0.4201881 -0.3978416
sal + aou Indo-Pacific (27,27.25] -0.5928542 -0.6028800 -0.5791748
sal + aou Indo-Pacific (27.25,27.5] -0.2554981 -0.3224449 -0.1984331
sal + aou Indo-Pacific (27.5,27.75] 0.5071352 0.4643245 0.5560090
sal + aou Indo-Pacific (27.75,27.85] 0.7625480 0.7584722 0.7667137
sal + aou Indo-Pacific (27.85,27.95] 0.7619856 0.7591477 0.7635063
sal + aou Indo-Pacific (27.95,28.05] 0.8379932 0.8251446 0.8498260
sal + aou Indo-Pacific (28.05,28.1] 0.8434632 0.8335555 0.8556374
sal + aou Indo-Pacific (28.1, Inf] 0.3237543 0.3092773 0.3402405
sal + nitrate Atlantic (-Inf,26] -0.6722393 -0.6937183 -0.6473064
sal + nitrate Atlantic (26,26.5] -0.4205061 -0.4439129 -0.3749554
sal + nitrate Atlantic (26.5,26.75] 0.1864220 0.1832988 0.1926003
sal + nitrate Atlantic (26.75,27] 0.3976898 0.3879965 0.4057889
sal + nitrate Atlantic (27,27.25] 0.1947582 0.1632883 0.2432413
sal + nitrate Atlantic (27.25,27.5] -0.0632873 -0.1037063 -0.0177489
sal + nitrate Atlantic (27.5,27.75] 0.1898052 0.1651845 0.2327931
sal + nitrate Atlantic (27.75,27.85] -0.3602247 -0.4155343 -0.3236992
sal + nitrate Atlantic (27.85,27.95] -0.6192575 -0.6344507 -0.6027517
sal + nitrate Atlantic (27.95,28.05] -0.8403692 -0.8525844 -0.8325380
sal + nitrate Atlantic (28.05,28.1] -0.9198313 -0.9214356 -0.9168056
sal + nitrate Atlantic (28.1,28.15] -0.9567623 -0.9597956 -0.9530978
sal + nitrate Atlantic (28.15,28.2] -0.9494875 -0.9518030 -0.9471558
sal + nitrate Atlantic (28.2, Inf] -0.8475679 -0.8536147 -0.8416878
sal + nitrate Indo-Pacific (-Inf,26] -0.3649047 -0.3791336 -0.3518065
sal + nitrate Indo-Pacific (26,26.5] -0.3937124 -0.3986117 -0.3907239
sal + nitrate Indo-Pacific (26.5,26.75] -0.4332686 -0.4462226 -0.4264285
sal + nitrate Indo-Pacific (26.75,27] -0.5647723 -0.5712530 -0.5602107
sal + nitrate Indo-Pacific (27,27.25] -0.7250061 -0.7280230 -0.7212334
sal + nitrate Indo-Pacific (27.25,27.5] -0.3867327 -0.4478833 -0.3351191
sal + nitrate Indo-Pacific (27.5,27.75] 0.4058357 0.3647223 0.4555679
sal + nitrate Indo-Pacific (27.75,27.85] 0.7126277 0.7016363 0.7213549
sal + nitrate Indo-Pacific (27.85,27.95] 0.7098047 0.7077250 0.7138696
sal + nitrate Indo-Pacific (27.95,28.05] 0.7741416 0.7567691 0.7886107
sal + nitrate Indo-Pacific (28.05,28.1] 0.7737899 0.7621953 0.7894290
sal + nitrate Indo-Pacific (28.1, Inf] 0.2769066 0.2621150 0.2933411
sal + phosphate Atlantic (-Inf,26] -0.2651055 -0.3176969 -0.2036145
sal + phosphate Atlantic (26,26.5] -0.6347076 -0.6577826 -0.6070066
sal + phosphate Atlantic (26.5,26.75] 0.0121073 -0.0037269 0.0294144
sal + phosphate Atlantic (26.75,27] 0.2799925 0.2714189 0.2846950
sal + phosphate Atlantic (27,27.25] 0.0595169 0.0268226 0.1086552
sal + phosphate Atlantic (27.25,27.5] -0.1766733 -0.2151748 -0.1312648
sal + phosphate Atlantic (27.5,27.75] 0.0935397 0.0701294 0.1354952
sal + phosphate Atlantic (27.75,27.85] -0.4301184 -0.4812010 -0.3972091
sal + phosphate Atlantic (27.85,27.95] -0.6512018 -0.6655300 -0.6385454
sal + phosphate Atlantic (27.95,28.05] -0.8515766 -0.8635386 -0.8435632
sal + phosphate Atlantic (28.05,28.1] -0.9242617 -0.9257587 -0.9217571
sal + phosphate Atlantic (28.1,28.15] -0.9572001 -0.9604189 -0.9534543
sal + phosphate Atlantic (28.15,28.2] -0.9330221 -0.9361298 -0.9306717
sal + phosphate Atlantic (28.2, Inf] -0.7777276 -0.7855593 -0.7727858
sal + phosphate Indo-Pacific (-Inf,26] -0.3509357 -0.3668423 -0.3404591
sal + phosphate Indo-Pacific (26,26.5] -0.3715895 -0.3789046 -0.3651491
sal + phosphate Indo-Pacific (26.5,26.75] -0.3659474 -0.3800703 -0.3576147
sal + phosphate Indo-Pacific (26.75,27] -0.5117848 -0.5182378 -0.5037628
sal + phosphate Indo-Pacific (27,27.25] -0.6770678 -0.6814586 -0.6698301
sal + phosphate Indo-Pacific (27.25,27.5] -0.3593108 -0.4250144 -0.3043956
sal + phosphate Indo-Pacific (27.5,27.75] 0.4078204 0.3634934 0.4584060
sal + phosphate Indo-Pacific (27.75,27.85] 0.7071781 0.6992287 0.7127853
sal + phosphate Indo-Pacific (27.85,27.95] 0.7185533 0.7162437 0.7223869
sal + phosphate Indo-Pacific (27.95,28.05] 0.7913218 0.7759217 0.8040418
sal + phosphate Indo-Pacific (28.05,28.1] 0.8008892 0.7905609 0.8146781
sal + phosphate Indo-Pacific (28.1, Inf] 0.3425150 0.3274629 0.3590724
sal + phosphate_star Atlantic (-Inf,26] -0.2000427 -0.3218454 -0.0260141
sal + phosphate_star Atlantic (26,26.5] -0.8763750 -0.8901989 -0.8660405
sal + phosphate_star Atlantic (26.5,26.75] -0.7946547 -0.7990185 -0.7889386
sal + phosphate_star Atlantic (26.75,27] -0.7704392 -0.7900976 -0.7563959
sal + phosphate_star Atlantic (27,27.25] -0.8033227 -0.8121617 -0.7914720
sal + phosphate_star Atlantic (27.25,27.5] -0.8648896 -0.8836464 -0.8396645
sal + phosphate_star Atlantic (27.5,27.75] -0.5950462 -0.6161410 -0.5610753
sal + phosphate_star Atlantic (27.75,27.85] -0.8748385 -0.8833499 -0.8658858
sal + phosphate_star Atlantic (27.85,27.95] -0.8689490 -0.8800239 -0.8562048
sal + phosphate_star Atlantic (27.95,28.05] -0.9445210 -0.9499625 -0.9379866
sal + phosphate_star Atlantic (28.05,28.1] -0.9804789 -0.9816290 -0.9786029
sal + phosphate_star Atlantic (28.1,28.15] -0.9885709 -0.9893388 -0.9879969
sal + phosphate_star Atlantic (28.15,28.2] -0.9708023 -0.9724025 -0.9676936
sal + phosphate_star Atlantic (28.2, Inf] -0.8331263 -0.8370399 -0.8270816
sal + phosphate_star Indo-Pacific (-Inf,26] -0.7040860 -0.7123671 -0.6980105
sal + phosphate_star Indo-Pacific (26,26.5] -0.8607771 -0.8669587 -0.8533659
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8711500 -0.8858283 -0.8609290
sal + phosphate_star Indo-Pacific (26.75,27] -0.8407153 -0.8466869 -0.8355930
sal + phosphate_star Indo-Pacific (27,27.25] -0.8987185 -0.9016331 -0.8935790
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.8035189 -0.8235628 -0.7916402
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.8118772 -0.8205969 -0.8059593
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.8979523 -0.9134263 -0.8888310
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.7413807 -0.7580404 -0.7310181
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.6519184 -0.6643262 -0.6420736
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5841766 -0.6111616 -0.5477642
sal + phosphate_star Indo-Pacific (28.1, Inf] 0.0773651 0.0707106 0.0852809
sal + silicate Atlantic (-Inf,26] -0.7635392 -0.7702240 -0.7530257
sal + silicate Atlantic (26,26.5] 0.1509276 0.1316337 0.1852944
sal + silicate Atlantic (26.5,26.75] 0.2987070 0.2681606 0.3144739
sal + silicate Atlantic (26.75,27] 0.1816384 0.1716895 0.1923957
sal + silicate Atlantic (27,27.25] -0.1149362 -0.1429314 -0.0635995
sal + silicate Atlantic (27.25,27.5] -0.3535506 -0.3782987 -0.3108004
sal + silicate Atlantic (27.5,27.75] -0.1470870 -0.1755569 -0.1001283
sal + silicate Atlantic (27.75,27.85] -0.7057063 -0.7415384 -0.6806787
sal + silicate Atlantic (27.85,27.95] -0.8107636 -0.8199822 -0.7942584
sal + silicate Atlantic (27.95,28.05] -0.8985783 -0.9059394 -0.8923732
sal + silicate Atlantic (28.05,28.1] -0.9183809 -0.9217360 -0.9145522
sal + silicate Atlantic (28.1,28.15] -0.9275933 -0.9345870 -0.9191765
sal + silicate Atlantic (28.15,28.2] -0.7595249 -0.7686101 -0.7538332
sal + silicate Atlantic (28.2, Inf] -0.2710742 -0.2784831 -0.2580584
sal + silicate Indo-Pacific (-Inf,26] -0.5408492 -0.5552634 -0.5322929
sal + silicate Indo-Pacific (26,26.5] -0.5820349 -0.5862110 -0.5783351
sal + silicate Indo-Pacific (26.5,26.75] -0.6105410 -0.6257090 -0.5991798
sal + silicate Indo-Pacific (26.75,27] -0.6601545 -0.6643035 -0.6558914
sal + silicate Indo-Pacific (27,27.25] -0.7529491 -0.7583638 -0.7429315
sal + silicate Indo-Pacific (27.25,27.5] -0.4627787 -0.5250349 -0.4122878
sal + silicate Indo-Pacific (27.5,27.75] 0.3416263 0.2942354 0.3948911
sal + silicate Indo-Pacific (27.75,27.85] 0.6814203 0.6740384 0.6864519
sal + silicate Indo-Pacific (27.85,27.95] 0.7106528 0.7066112 0.7180367
sal + silicate Indo-Pacific (27.95,28.05] 0.8023115 0.7858337 0.8166979
sal + silicate Indo-Pacific (28.05,28.1] 0.8193206 0.8107676 0.8317793
sal + silicate Indo-Pacific (28.1, Inf] 0.6651762 0.6470191 0.6833820
sal + temp Atlantic (-Inf,26] 0.6422806 0.5893821 0.6697780
sal + temp Atlantic (26,26.5] 0.9582828 0.9568093 0.9597738
sal + temp Atlantic (26.5,26.75] 0.9688601 0.9668155 0.9713381
sal + temp Atlantic (26.75,27] 0.9707440 0.9699984 0.9719021
sal + temp Atlantic (27,27.25] 0.9635777 0.9631225 0.9643317
sal + temp Atlantic (27.25,27.5] 0.9724343 0.9709599 0.9735949
sal + temp Atlantic (27.5,27.75] 0.9680206 0.9661666 0.9697381
sal + temp Atlantic (27.75,27.85] 0.9867302 0.9859152 0.9874755
sal + temp Atlantic (27.85,27.95] 0.9800973 0.9752088 0.9830834
sal + temp Atlantic (27.95,28.05] 0.9757700 0.9751513 0.9764754
sal + temp Atlantic (28.05,28.1] 0.9865847 0.9864131 0.9868280
sal + temp Atlantic (28.1,28.15] 0.9834668 0.9821613 0.9849609
sal + temp Atlantic (28.15,28.2] 0.9789743 0.9784617 0.9794914
sal + temp Atlantic (28.2, Inf] 0.9357395 0.9321804 0.9376695
sal + temp Indo-Pacific (-Inf,26] 0.8188380 0.8176209 0.8211144
sal + temp Indo-Pacific (26,26.5] 0.9527419 0.9509674 0.9541259
sal + temp Indo-Pacific (26.5,26.75] 0.9803437 0.9797056 0.9808262
sal + temp Indo-Pacific (26.75,27] 0.9787940 0.9780609 0.9795745
sal + temp Indo-Pacific (27,27.25] 0.9744875 0.9737736 0.9749116
sal + temp Indo-Pacific (27.25,27.5] 0.9215540 0.9199828 0.9229199
sal + temp Indo-Pacific (27.5,27.75] 0.8730274 0.8688650 0.8762129
sal + temp Indo-Pacific (27.75,27.85] 0.9713426 0.9683615 0.9734178
sal + temp Indo-Pacific (27.85,27.95] 0.9394248 0.9380258 0.9411320
sal + temp Indo-Pacific (27.95,28.05] 0.9448690 0.9426078 0.9462790
sal + temp Indo-Pacific (28.05,28.1] 0.9748839 0.9730165 0.9760309
sal + temp Indo-Pacific (28.1, Inf] 0.4283460 0.4154598 0.4405350
silicate + phosphate Atlantic (-Inf,26] -0.1343659 -0.1607665 -0.0867487
silicate + phosphate Atlantic (26,26.5] 0.0498402 -0.0002766 0.0859970
silicate + phosphate Atlantic (26.5,26.75] 0.5776860 0.5240167 0.6113648
silicate + phosphate Atlantic (26.75,27] 0.8463385 0.8418226 0.8495519
silicate + phosphate Atlantic (27,27.25] 0.9033700 0.8999426 0.9054290
silicate + phosphate Atlantic (27.25,27.5] 0.8980103 0.8942154 0.9010274
silicate + phosphate Atlantic (27.5,27.75] 0.8969894 0.8958024 0.8987935
silicate + phosphate Atlantic (27.75,27.85] 0.8782530 0.8748629 0.8821045
silicate + phosphate Atlantic (27.85,27.95] 0.9345686 0.9279468 0.9409596
silicate + phosphate Atlantic (27.95,28.05] 0.9741870 0.9734291 0.9746279
silicate + phosphate Atlantic (28.05,28.1] 0.9859533 0.9847891 0.9871802
silicate + phosphate Atlantic (28.1,28.15] 0.9881497 0.9874090 0.9886386
silicate + phosphate Atlantic (28.15,28.2] 0.9363501 0.9346870 0.9381561
silicate + phosphate Atlantic (28.2, Inf] 0.7940776 0.7874531 0.8023669
silicate + phosphate Indo-Pacific (-Inf,26] 0.8859777 0.8829116 0.8894226
silicate + phosphate Indo-Pacific (26,26.5] 0.8768525 0.8756443 0.8788381
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8652798 0.8622872 0.8678250
silicate + phosphate Indo-Pacific (26.75,27] 0.9201707 0.9182872 0.9222018
silicate + phosphate Indo-Pacific (27,27.25] 0.9572054 0.9558860 0.9579684
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9718203 0.9712785 0.9726395
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9806212 0.9802978 0.9810638
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9880492 0.9872596 0.9890140
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9874356 0.9869423 0.9883308
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9936088 0.9932621 0.9940458
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9942500 0.9941868 0.9943348
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8641402 0.8615102 0.8663250
silicate + phosphate_star Atlantic (-Inf,26] -0.2009027 -0.3326239 -0.0998940
silicate + phosphate_star Atlantic (26,26.5] -0.2727731 -0.3062833 -0.2281924
silicate + phosphate_star Atlantic (26.5,26.75] 0.0381156 -0.0218530 0.0743084
silicate + phosphate_star Atlantic (26.75,27] 0.1962460 0.1822711 0.2166663
silicate + phosphate_star Atlantic (27,27.25] 0.5402818 0.5063125 0.5603798
silicate + phosphate_star Atlantic (27.25,27.5] 0.6728093 0.6622806 0.6816071
silicate + phosphate_star Atlantic (27.5,27.75] 0.7990420 0.7890718 0.8066928
silicate + phosphate_star Atlantic (27.75,27.85] 0.9132364 0.8983310 0.9276086
silicate + phosphate_star Atlantic (27.85,27.95] 0.9652628 0.9613121 0.9678928
silicate + phosphate_star Atlantic (27.95,28.05] 0.9217037 0.9210165 0.9226163
silicate + phosphate_star Atlantic (28.05,28.1] 0.9230592 0.9172055 0.9266927
silicate + phosphate_star Atlantic (28.1,28.15] 0.9408742 0.9319589 0.9469763
silicate + phosphate_star Atlantic (28.15,28.2] 0.8659759 0.8639102 0.8686298
silicate + phosphate_star Atlantic (28.2, Inf] 0.7340346 0.7308531 0.7361104
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7743733 0.7689317 0.7807808
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7803023 0.7777013 0.7829959
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.7989550 0.7946486 0.8051382
silicate + phosphate_star Indo-Pacific (26.75,27] 0.8188316 0.8106767 0.8286613
silicate + phosphate_star Indo-Pacific (27,27.25] 0.8118825 0.7951305 0.8261574
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.5139812 0.4575063 0.5698746
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.1169813 -0.1713936 -0.0682652
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4791375 -0.4871948 -0.4683375
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.2639515 -0.2787307 -0.2503455
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.2682737 -0.3000738 -0.2378552
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.1709365 -0.2273140 -0.1067098
silicate + phosphate_star Indo-Pacific (28.1, Inf] 0.4394590 0.4242114 0.4504370
temp + aou Atlantic (-Inf,26] -0.6635038 -0.6861659 -0.6349774
temp + aou Atlantic (26,26.5] -0.4259769 -0.4454881 -0.3930481
temp + aou Atlantic (26.5,26.75] 0.1423445 0.1282725 0.1555129
temp + aou Atlantic (26.75,27] 0.3987204 0.3829801 0.4259590
temp + aou Atlantic (27,27.25] 0.3346143 0.3131427 0.3689920
temp + aou Atlantic (27.25,27.5] 0.4158140 0.4076668 0.4271072
temp + aou Atlantic (27.5,27.75] 0.6648325 0.6579798 0.6756919
temp + aou Atlantic (27.75,27.85] 0.6530846 0.5778053 0.7064296
temp + aou Atlantic (27.85,27.95] 0.1837854 0.0667567 0.3061431
temp + aou Atlantic (27.95,28.05] 0.1547052 0.1284011 0.1703053
temp + aou Atlantic (28.05,28.1] -0.2438844 -0.3055488 -0.1944942
temp + aou Atlantic (28.1,28.15] -0.6668869 -0.7092235 -0.6084560
temp + aou Atlantic (28.15,28.2] -0.7515783 -0.7619492 -0.7394625
temp + aou Atlantic (28.2, Inf] -0.7384400 -0.7531500 -0.7264489
temp + aou Indo-Pacific (-Inf,26] -0.3833741 -0.3940885 -0.3763157
temp + aou Indo-Pacific (26,26.5] -0.2087650 -0.2195197 -0.1996800
temp + aou Indo-Pacific (26.5,26.75] -0.1781968 -0.1825913 -0.1728254
temp + aou Indo-Pacific (26.75,27] -0.3546370 -0.3681751 -0.3470113
temp + aou Indo-Pacific (27,27.25] -0.5554030 -0.5603706 -0.5487240
temp + aou Indo-Pacific (27.25,27.5] -0.2298979 -0.2870133 -0.1823997
temp + aou Indo-Pacific (27.5,27.75] 0.4237371 0.3890646 0.4634436
temp + aou Indo-Pacific (27.75,27.85] 0.7623434 0.7595994 0.7639921
temp + aou Indo-Pacific (27.85,27.95] 0.7386700 0.7358061 0.7402348
temp + aou Indo-Pacific (27.95,28.05] 0.7920466 0.7815120 0.8021415
temp + aou Indo-Pacific (28.05,28.1] 0.8262139 0.8119223 0.8401017
temp + aou Indo-Pacific (28.1, Inf] 0.7888463 0.7834317 0.7940221
temp + nitrate Atlantic (-Inf,26] -0.7413301 -0.7618038 -0.7037430
temp + nitrate Atlantic (26,26.5] -0.4686253 -0.5045861 -0.4261303
temp + nitrate Atlantic (26.5,26.75] 0.0640723 0.0549627 0.0714892
temp + nitrate Atlantic (26.75,27] 0.3162891 0.3052840 0.3289490
temp + nitrate Atlantic (27,27.25] 0.1600282 0.1375570 0.2035520
temp + nitrate Atlantic (27.25,27.5] -0.0230682 -0.0592721 0.0225984
temp + nitrate Atlantic (27.5,27.75] 0.1732502 0.1552035 0.2077595
temp + nitrate Atlantic (27.75,27.85] -0.3523628 -0.3970024 -0.3210154
temp + nitrate Atlantic (27.85,27.95] -0.6298375 -0.6414117 -0.6075282
temp + nitrate Atlantic (27.95,28.05] -0.8013446 -0.8110534 -0.7913322
temp + nitrate Atlantic (28.05,28.1] -0.8798302 -0.8806577 -0.8792723
temp + nitrate Atlantic (28.1,28.15] -0.9145880 -0.9209902 -0.9072125
temp + nitrate Atlantic (28.15,28.2] -0.9214805 -0.9228074 -0.9198230
temp + nitrate Atlantic (28.2, Inf] -0.9083042 -0.9196169 -0.8934823
temp + nitrate Indo-Pacific (-Inf,26] -0.5306481 -0.5397069 -0.5245440
temp + nitrate Indo-Pacific (26,26.5] -0.4467492 -0.4606291 -0.4394102
temp + nitrate Indo-Pacific (26.5,26.75] -0.4200408 -0.4325442 -0.4135098
temp + nitrate Indo-Pacific (26.75,27] -0.5269104 -0.5326832 -0.5230517
temp + nitrate Indo-Pacific (27,27.25] -0.7044907 -0.7069961 -0.7003534
temp + nitrate Indo-Pacific (27.25,27.5] -0.3929267 -0.4442331 -0.3494378
temp + nitrate Indo-Pacific (27.5,27.75] 0.2796515 0.2450032 0.3219330
temp + nitrate Indo-Pacific (27.75,27.85] 0.7091295 0.7072002 0.7117604
temp + nitrate Indo-Pacific (27.85,27.95] 0.6732105 0.6715804 0.6753467
temp + nitrate Indo-Pacific (27.95,28.05] 0.7144669 0.6992229 0.7267259
temp + nitrate Indo-Pacific (28.05,28.1] 0.7530402 0.7371237 0.7702187
temp + nitrate Indo-Pacific (28.1, Inf] 0.7192803 0.7103234 0.7265750
temp + phosphate Atlantic (-Inf,26] -0.6807739 -0.7052070 -0.6435096
temp + phosphate Atlantic (26,26.5] -0.6560832 -0.6805713 -0.6321829
temp + phosphate Atlantic (26.5,26.75] -0.0942839 -0.1133071 -0.0775636
temp + phosphate Atlantic (26.75,27] 0.2078295 0.1987851 0.2176316
temp + phosphate Atlantic (27,27.25] 0.0400265 0.0167243 0.0843889
temp + phosphate Atlantic (27.25,27.5] -0.1293732 -0.1641192 -0.0834110
temp + phosphate Atlantic (27.5,27.75] 0.0819086 0.0636672 0.1153379
temp + phosphate Atlantic (27.75,27.85] -0.4211976 -0.4619970 -0.3934158
temp + phosphate Atlantic (27.85,27.95] -0.6610269 -0.6710796 -0.6421769
temp + phosphate Atlantic (27.95,28.05] -0.8141474 -0.8237108 -0.8048583
temp + phosphate Atlantic (28.05,28.1] -0.8842779 -0.8845620 -0.8839399
temp + phosphate Atlantic (28.1,28.15] -0.9156935 -0.9223971 -0.9081625
temp + phosphate Atlantic (28.15,28.2] -0.9120742 -0.9139073 -0.9098880
temp + phosphate Atlantic (28.2, Inf] -0.8743104 -0.8868810 -0.8606271
temp + phosphate Indo-Pacific (-Inf,26] -0.5009161 -0.5120320 -0.4912561
temp + phosphate Indo-Pacific (26,26.5] -0.4268349 -0.4300428 -0.4226862
temp + phosphate Indo-Pacific (26.5,26.75] -0.3491305 -0.3628666 -0.3413865
temp + phosphate Indo-Pacific (26.75,27] -0.4674961 -0.4736580 -0.4624021
temp + phosphate Indo-Pacific (27,27.25] -0.6499619 -0.6508533 -0.6493028
temp + phosphate Indo-Pacific (27.25,27.5] -0.3559148 -0.4121811 -0.3107390
temp + phosphate Indo-Pacific (27.5,27.75] 0.3035470 0.2678294 0.3446835
temp + phosphate Indo-Pacific (27.75,27.85] 0.7048669 0.7024619 0.7079649
temp + phosphate Indo-Pacific (27.85,27.95] 0.6861083 0.6844956 0.6880905
temp + phosphate Indo-Pacific (27.95,28.05] 0.7275185 0.7141053 0.7378604
temp + phosphate Indo-Pacific (28.05,28.1] 0.7751361 0.7603159 0.7908627
temp + phosphate Indo-Pacific (28.1, Inf] 0.7421211 0.7316908 0.7508612
temp + phosphate_star Atlantic (-Inf,26] -0.6584618 -0.7260009 -0.5889783
temp + phosphate_star Atlantic (26,26.5] -0.8646132 -0.8705133 -0.8605688
temp + phosphate_star Atlantic (26.5,26.75] -0.8155883 -0.8192801 -0.8122552
temp + phosphate_star Atlantic (26.75,27] -0.8091991 -0.8258170 -0.8006991
temp + phosphate_star Atlantic (27,27.25] -0.8008170 -0.8099510 -0.7881382
temp + phosphate_star Atlantic (27.25,27.5] -0.8411461 -0.8612006 -0.8126890
temp + phosphate_star Atlantic (27.5,27.75] -0.6096381 -0.6259054 -0.5815303
temp + phosphate_star Atlantic (27.75,27.85] -0.8768069 -0.8799333 -0.8707253
temp + phosphate_star Atlantic (27.85,27.95] -0.8853439 -0.8884133 -0.8814668
temp + phosphate_star Atlantic (27.95,28.05] -0.9551421 -0.9586406 -0.9533488
temp + phosphate_star Atlantic (28.05,28.1] -0.9718457 -0.9731871 -0.9711505
temp + phosphate_star Atlantic (28.1,28.15] -0.9751284 -0.9763940 -0.9743861
temp + phosphate_star Atlantic (28.15,28.2] -0.9721124 -0.9735806 -0.9693627
temp + phosphate_star Atlantic (28.2, Inf] -0.9335091 -0.9430798 -0.9196311
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8432109 -0.8481518 -0.8384287
temp + phosphate_star Indo-Pacific (26,26.5] -0.9093174 -0.9114560 -0.9074874
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.8750195 -0.8914521 -0.8626691
temp + phosphate_star Indo-Pacific (26.75,27] -0.8416614 -0.8478710 -0.8346013
temp + phosphate_star Indo-Pacific (27,27.25] -0.9163979 -0.9236030 -0.9079272
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.9088243 -0.9249468 -0.8981212
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.9401022 -0.9442396 -0.9355283
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.9236821 -0.9314124 -0.9163684
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.8330969 -0.8454167 -0.8264325
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.7731993 -0.7857089 -0.7653983
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6539346 -0.6767901 -0.6235771
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.3121728 -0.3260684 -0.2943915
temp + silicate Atlantic (-Inf,26] -0.3485142 -0.3793067 -0.3014488
temp + silicate Atlantic (26,26.5] 0.1043460 0.0614271 0.1366601
temp + silicate Atlantic (26.5,26.75] 0.1958823 0.1675166 0.2129935
temp + silicate Atlantic (26.75,27] 0.0711231 0.0649429 0.0797298
temp + silicate Atlantic (27,27.25] -0.1623104 -0.1919391 -0.1172770
temp + silicate Atlantic (27.25,27.5] -0.3078159 -0.3313358 -0.2627049
temp + silicate Atlantic (27.5,27.75] -0.1706571 -0.1917769 -0.1319629
temp + silicate Atlantic (27.75,27.85] -0.6913214 -0.7204656 -0.6696241
temp + silicate Atlantic (27.85,27.95] -0.8136000 -0.8147913 -0.8117180
temp + silicate Atlantic (27.95,28.05] -0.8587573 -0.8647324 -0.8540639
temp + silicate Atlantic (28.05,28.1] -0.8732706 -0.8770470 -0.8664851
temp + silicate Atlantic (28.1,28.15] -0.8809859 -0.8928053 -0.8672775
temp + silicate Atlantic (28.15,28.2] -0.7503654 -0.7565045 -0.7470224
temp + silicate Atlantic (28.2, Inf] -0.5064273 -0.5159140 -0.4910868
temp + silicate Indo-Pacific (-Inf,26] -0.6028916 -0.6116774 -0.5900898
temp + silicate Indo-Pacific (26,26.5] -0.6111264 -0.6157000 -0.6083627
temp + silicate Indo-Pacific (26.5,26.75] -0.6017782 -0.6177068 -0.5907335
temp + silicate Indo-Pacific (26.75,27] -0.6326687 -0.6385295 -0.6296802
temp + silicate Indo-Pacific (27,27.25] -0.7387687 -0.7419664 -0.7346977
temp + silicate Indo-Pacific (27.25,27.5] -0.4554500 -0.5088556 -0.4136946
temp + silicate Indo-Pacific (27.5,27.75] 0.2266272 0.1889698 0.2704418
temp + silicate Indo-Pacific (27.75,27.85] 0.6778995 0.6735948 0.6802146
temp + silicate Indo-Pacific (27.85,27.95] 0.6618531 0.6589838 0.6639731
temp + silicate Indo-Pacific (27.95,28.05] 0.7399603 0.7243775 0.7525075
temp + silicate Indo-Pacific (28.05,28.1] 0.7960899 0.7836089 0.8101262
temp + silicate Indo-Pacific (28.1, Inf] 0.5794666 0.5635626 0.5901942
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
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
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] 0.3828941 0.3510943 0.4176831
aou Atlantic (26,26.5] 0.0486535 -0.0685593 0.1709177
aou Atlantic (26.5,26.75] 0.0719652 -0.1314295 0.2617370
aou Atlantic (26.75,27] 0.0031717 -0.2315297 0.2595946
aou Atlantic (27,27.25] -0.3340555 -0.4967959 -0.1653311
aou Atlantic (27.25,27.5] -0.2493139 -0.3973877 -0.1041332
aou Atlantic (27.5,27.75] -0.1338816 -0.1907231 -0.0815141
aou Atlantic (27.75,27.85] -0.0425956 -0.0640243 -0.0277650
aou Atlantic (27.85,27.95] -0.5102828 -0.5864183 -0.4574794
aou Atlantic (27.95,28.05] -0.3166547 -0.3546685 -0.2847297
aou Atlantic (28.05,28.1] -0.5856438 -0.6008359 -0.5673173
aou Atlantic (28.1,28.15] -0.8745853 -0.8807250 -0.8644180
aou Atlantic (28.15,28.2] -0.9225386 -0.9233820 -0.9220808
aou Atlantic (28.2, Inf] -0.8644895 -0.8739581 -0.8520794
aou Indo-Pacific (-Inf,26] -0.0537185 -0.2181232 0.0793860
aou Indo-Pacific (26,26.5] -0.4189333 -0.5827511 -0.2427739
aou Indo-Pacific (26.5,26.75] -0.7301334 -0.8142299 -0.6310304
aou Indo-Pacific (26.75,27] -0.8050116 -0.8657908 -0.7278219
aou Indo-Pacific (27,27.25] -0.7889437 -0.8686826 -0.6971097
aou Indo-Pacific (27.25,27.5] -0.6198209 -0.8275156 -0.3306498
aou Indo-Pacific (27.5,27.75] -0.1355945 -0.7067698 0.5635324
aou Indo-Pacific (27.75,27.85] 0.1852617 -0.4685974 0.8069760
aou Indo-Pacific (27.85,27.95] 0.3325331 -0.1548760 0.7508431
aou Indo-Pacific (27.95,28.05] 0.1964436 -0.2199878 0.5884079
aou Indo-Pacific (28.05,28.1] 0.2971575 -0.0603525 0.6520030
aou Indo-Pacific (28.1, Inf] 0.5453755 0.4539346 0.6237399
nitrate Atlantic (-Inf,26] 0.0361000 0.0107932 0.0650773
nitrate Atlantic (26,26.5] -0.1714871 -0.2952429 -0.0462165
nitrate Atlantic (26.5,26.75] -0.0805540 -0.2856591 0.1094744
nitrate Atlantic (26.75,27] -0.1216189 -0.3456847 0.1242544
nitrate Atlantic (27,27.25] -0.5429246 -0.6737458 -0.4012240
nitrate Atlantic (27.25,27.5] -0.6891223 -0.7754959 -0.6006437
nitrate Atlantic (27.5,27.75] -0.8409934 -0.8722754 -0.8091756
nitrate Atlantic (27.75,27.85] -0.9067588 -0.9184034 -0.8922565
nitrate Atlantic (27.85,27.95] -0.9669042 -0.9730546 -0.9581035
nitrate Atlantic (27.95,28.05] -0.9455724 -0.9503899 -0.9416397
nitrate Atlantic (28.05,28.1] -0.9911782 -0.9916115 -0.9905075
nitrate Atlantic (28.1,28.15] -0.9941714 -0.9950733 -0.9928912
nitrate Atlantic (28.15,28.2] -0.9948800 -0.9965433 -0.9920640
nitrate Atlantic (28.2, Inf] -0.9778128 -0.9808077 -0.9728030
nitrate Indo-Pacific (-Inf,26] -0.0713991 -0.2350194 0.0655567
nitrate Indo-Pacific (26,26.5] -0.4096826 -0.5569453 -0.2584530
nitrate Indo-Pacific (26.5,26.75] -0.6446639 -0.7114730 -0.5598221
nitrate Indo-Pacific (26.75,27] -0.6921842 -0.7420500 -0.6119624
nitrate Indo-Pacific (27,27.25] -0.7430436 -0.8204990 -0.6623688
nitrate Indo-Pacific (27.25,27.5] -0.6199734 -0.8102709 -0.3496783
nitrate Indo-Pacific (27.5,27.75] -0.1660934 -0.7197792 0.5144002
nitrate Indo-Pacific (27.75,27.85] 0.2119510 -0.4344615 0.8131675
nitrate Indo-Pacific (27.85,27.95] 0.3817267 -0.0874826 0.7762857
nitrate Indo-Pacific (27.95,28.05] 0.2674315 -0.1285378 0.6370086
nitrate Indo-Pacific (28.05,28.1] 0.3700725 0.0370230 0.6944626
nitrate Indo-Pacific (28.1, Inf] 0.5679948 0.4927833 0.6307455
phosphate Atlantic (-Inf,26] 0.4653198 0.4060538 0.5411490
phosphate Atlantic (26,26.5] 0.0585778 -0.0121067 0.1301201
phosphate Atlantic (26.5,26.75] -0.0741779 -0.2554176 0.0984431
phosphate Atlantic (26.75,27] -0.1598017 -0.3646141 0.0626322
phosphate Atlantic (27,27.25] -0.5908035 -0.7088327 -0.4589575
phosphate Atlantic (27.25,27.5] -0.7392606 -0.8100106 -0.6641263
phosphate Atlantic (27.5,27.75] -0.8670946 -0.8918647 -0.8410423
phosphate Atlantic (27.75,27.85] -0.9307407 -0.9389979 -0.9195502
phosphate Atlantic (27.85,27.95] -0.9691054 -0.9758411 -0.9589234
phosphate Atlantic (27.95,28.05] -0.9484740 -0.9542957 -0.9451690
phosphate Atlantic (28.05,28.1] -0.9911911 -0.9917294 -0.9902410
phosphate Atlantic (28.1,28.15] -0.9940829 -0.9948827 -0.9929020
phosphate Atlantic (28.15,28.2] -0.9930938 -0.9942070 -0.9921769
phosphate Atlantic (28.2, Inf] -0.9830674 -0.9855357 -0.9808750
phosphate Indo-Pacific (-Inf,26] -0.0996404 -0.2672521 0.0422069
phosphate Indo-Pacific (26,26.5] -0.5502060 -0.7005396 -0.3822742
phosphate Indo-Pacific (26.5,26.75] -0.8039494 -0.8738145 -0.7193957
phosphate Indo-Pacific (26.75,27] -0.8431346 -0.8906166 -0.7789166
phosphate Indo-Pacific (27,27.25] -0.8312930 -0.8947858 -0.7592598
phosphate Indo-Pacific (27.25,27.5] -0.6812110 -0.8594786 -0.4249026
phosphate Indo-Pacific (27.5,27.75] -0.1725331 -0.7161450 0.4993631
phosphate Indo-Pacific (27.75,27.85] 0.2192701 -0.4173642 0.8132009
phosphate Indo-Pacific (27.85,27.95] 0.3675660 -0.1006750 0.7652331
phosphate Indo-Pacific (27.95,28.05] 0.2564753 -0.1379045 0.6248114
phosphate Indo-Pacific (28.05,28.1] 0.3426602 0.0087986 0.6700040
phosphate Indo-Pacific (28.1, Inf] 0.5235078 0.4409112 0.5925242
phosphate_star Atlantic (-Inf,26] 0.1202299 0.0299013 0.2150630
phosphate_star Atlantic (26,26.5] 0.1158037 0.0914585 0.1293181
phosphate_star Atlantic (26.5,26.75] -0.3417900 -0.3638291 -0.3242526
phosphate_star Atlantic (26.75,27] -0.4964359 -0.6004845 -0.4149943
phosphate_star Atlantic (27,27.25] -0.6355700 -0.6795813 -0.5500649
phosphate_star Atlantic (27.25,27.5] -0.7759253 -0.8419150 -0.6966505
phosphate_star Atlantic (27.5,27.75] -0.8024944 -0.8408889 -0.7582869
phosphate_star Atlantic (27.75,27.85] -0.8948362 -0.9368941 -0.8475468
phosphate_star Atlantic (27.85,27.95] -0.9040008 -0.9311202 -0.8669302
phosphate_star Atlantic (27.95,28.05] -0.8763395 -0.9031527 -0.8498173
phosphate_star Atlantic (28.05,28.1] -0.9454609 -0.9641576 -0.9238195
phosphate_star Atlantic (28.1,28.15] -0.9673844 -0.9803507 -0.9516683
phosphate_star Atlantic (28.15,28.2] -0.9780443 -0.9864466 -0.9681058
phosphate_star Atlantic (28.2, Inf] -0.9808545 -0.9856786 -0.9729914
phosphate_star Indo-Pacific (-Inf,26] 0.0252635 -0.1088964 0.1499370
phosphate_star Indo-Pacific (26,26.5] -0.5639164 -0.6199539 -0.4964337
phosphate_star Indo-Pacific (26.5,26.75] -0.6275741 -0.6417199 -0.6095528
phosphate_star Indo-Pacific (26.75,27] -0.5689343 -0.5967734 -0.5309592
phosphate_star Indo-Pacific (27,27.25] -0.6876611 -0.7033184 -0.6795359
phosphate_star Indo-Pacific (27.25,27.5] -0.5485088 -0.5645488 -0.5247724
phosphate_star Indo-Pacific (27.5,27.75] -0.2093301 -0.5390824 0.0736165
phosphate_star Indo-Pacific (27.75,27.85] 0.2212117 -0.3278021 0.7084575
phosphate_star Indo-Pacific (27.85,27.95] 0.2905767 -0.0144458 0.6086209
phosphate_star Indo-Pacific (27.95,28.05] 0.4584060 0.1730892 0.7213886
phosphate_star Indo-Pacific (28.05,28.1] 0.4289707 0.1776494 0.6671448
phosphate_star Indo-Pacific (28.1, Inf] 0.0725239 0.0058988 0.1277401
sal Atlantic (-Inf,26] 0.6322180 0.6059403 0.6739859
sal Atlantic (26,26.5] -0.1088684 -0.1421164 -0.0731308
sal Atlantic (26.5,26.75] 0.0112129 -0.0796096 0.0828396
sal Atlantic (26.75,27] 0.0259027 -0.1213091 0.2310046
sal Atlantic (27,27.25] 0.0922253 -0.0365390 0.1718231
sal Atlantic (27.25,27.5] 0.3827254 0.2280840 0.5126103
sal Atlantic (27.5,27.75] 0.0131093 -0.0994917 0.1032370
sal Atlantic (27.75,27.85] 0.5796869 0.4960760 0.6726629
sal Atlantic (27.85,27.95] 0.6010293 0.5455543 0.6481809
sal Atlantic (27.95,28.05] 0.7478723 0.7027893 0.7804397
sal Atlantic (28.05,28.1] 0.9037140 0.8845324 0.9251336
sal Atlantic (28.1,28.15] 0.9417965 0.9250743 0.9573134
sal Atlantic (28.15,28.2] 0.9410393 0.9183957 0.9584720
sal Atlantic (28.2, Inf] 0.7767379 0.7466454 0.7968113
sal Indo-Pacific (-Inf,26] -0.0767056 -0.1468631 0.0025591
sal Indo-Pacific (26,26.5] 0.3090353 0.2754617 0.3412579
sal Indo-Pacific (26.5,26.75] 0.2985732 0.2716549 0.3319480
sal Indo-Pacific (26.75,27] 0.2032187 0.1460174 0.2390671
sal Indo-Pacific (27,27.25] 0.4441165 0.4115498 0.4832091
sal Indo-Pacific (27.25,27.5] 0.2045765 0.1387122 0.2579939
sal Indo-Pacific (27.5,27.75] -0.0660478 -0.4018246 0.3812651
sal Indo-Pacific (27.75,27.85] -0.1485808 -0.7255839 0.4444846
sal Indo-Pacific (27.85,27.95] -0.0179464 -0.4819218 0.3941990
sal Indo-Pacific (27.95,28.05] -0.1843691 -0.5657708 0.2012573
sal Indo-Pacific (28.05,28.1] -0.1095452 -0.4561695 0.2593591
sal Indo-Pacific (28.1, Inf] 0.0552383 -0.0931106 0.1897805
silicate Atlantic (-Inf,26] -0.6158773 -0.6692377 -0.5795943
silicate Atlantic (26,26.5] -0.4740088 -0.5616034 -0.3857169
silicate Atlantic (26.5,26.75] -0.3179214 -0.4801692 -0.1569082
silicate Atlantic (26.75,27] -0.3961699 -0.6005781 -0.1844365
silicate Atlantic (27,27.25] -0.7598958 -0.8457832 -0.6538945
silicate Atlantic (27.25,27.5] -0.8583677 -0.8982598 -0.8069485
silicate Atlantic (27.5,27.75] -0.9083975 -0.9102366 -0.9066180
silicate Atlantic (27.75,27.85] -0.9283902 -0.9403239 -0.9150592
silicate Atlantic (27.85,27.95] -0.9065660 -0.9251615 -0.8788001
silicate Atlantic (27.95,28.05] -0.9042044 -0.9140708 -0.8959929
silicate Atlantic (28.05,28.1] -0.9692168 -0.9729602 -0.9665365
silicate Atlantic (28.1,28.15] -0.9785807 -0.9813088 -0.9753242
silicate Atlantic (28.15,28.2] -0.9122987 -0.9239327 -0.8982275
silicate Atlantic (28.2, Inf] -0.7677815 -0.7982863 -0.7330913
silicate Indo-Pacific (-Inf,26] -0.0884292 -0.2435435 0.0384697
silicate Indo-Pacific (26,26.5] -0.6363095 -0.7493134 -0.5100517
silicate Indo-Pacific (26.5,26.75] -0.7438123 -0.8055915 -0.6677021
silicate Indo-Pacific (26.75,27] -0.6938891 -0.7463373 -0.6225330
silicate Indo-Pacific (27,27.25] -0.6950578 -0.7753431 -0.6069040
silicate Indo-Pacific (27.25,27.5] -0.5762418 -0.7667434 -0.3071829
silicate Indo-Pacific (27.5,27.75] -0.1179558 -0.6649332 0.5448916
silicate Indo-Pacific (27.75,27.85] 0.2450147 -0.3920066 0.8327660
silicate Indo-Pacific (27.85,27.95] 0.3781990 -0.0926349 0.7765128
silicate Indo-Pacific (27.95,28.05] 0.2525931 -0.1543056 0.6331195
silicate Indo-Pacific (28.05,28.1] 0.3383747 -0.0038341 0.6737271
silicate Indo-Pacific (28.1, Inf] 0.5110378 0.3970340 0.6074271
temp Atlantic (-Inf,26] -0.0706324 -0.1275696 0.0007142
temp Atlantic (26,26.5] -0.2510889 -0.2842616 -0.2148082
temp Atlantic (26.5,26.75] -0.0135008 -0.0786825 0.0318481
temp Atlantic (26.75,27] 0.0923847 -0.0207331 0.2685515
temp Atlantic (27,27.25] 0.1151234 0.0072530 0.1741404
temp Atlantic (27.25,27.5] 0.3387329 0.1853461 0.4640067
temp Atlantic (27.5,27.75] 0.0329974 -0.0663985 0.1107693
temp Atlantic (27.75,27.85] 0.5802507 0.5023035 0.6634022
temp Atlantic (27.85,27.95] 0.6177051 0.5568689 0.6599267
temp Atlantic (27.95,28.05] 0.7266299 0.6846705 0.7594724
temp Atlantic (28.05,28.1] 0.8635004 0.8375706 0.8877275
temp Atlantic (28.1,28.15] 0.8973315 0.8722721 0.9204627
temp Atlantic (28.15,28.2] 0.9140343 0.8900187 0.9330948
temp Atlantic (28.2, Inf] 0.8763277 0.8623651 0.8953515
temp Indo-Pacific (-Inf,26] -0.3994984 -0.4955551 -0.2944163
temp Indo-Pacific (26,26.5] 0.2652150 0.2165195 0.3115426
temp Indo-Pacific (26.5,26.75] 0.2573063 0.2208332 0.2990700
temp Indo-Pacific (26.75,27] 0.1368100 0.0783034 0.1740895
temp Indo-Pacific (27,27.25] 0.4156481 0.3932553 0.4476075
temp Indo-Pacific (27.25,27.5] 0.3195493 0.3007055 0.3331161
temp Indo-Pacific (27.5,27.75] 0.1390734 -0.1687571 0.5100582
temp Indo-Pacific (27.75,27.85] -0.1526688 -0.7215610 0.4440350
temp Indo-Pacific (27.85,27.95] -0.0753472 -0.5258497 0.3308408
temp Indo-Pacific (27.95,28.05] -0.2616956 -0.6389178 0.1261592
temp Indo-Pacific (28.05,28.1] -0.1259089 -0.4853566 0.2532682
temp Indo-Pacific (28.1, Inf] 0.2387453 0.1183046 0.3494860
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_0.7.5      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