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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
ecf335c Donghe-Zhu 2021-01-31
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
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

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
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] 0.7956633 0.6125683 0.9389682
aou + nitrate Atlantic (26,26.5] 0.8620328 0.8527374 0.8724052
aou + nitrate Atlantic (26.5,26.75] 0.9664406 0.9592910 0.9758958
aou + nitrate Atlantic (26.75,27] 0.9835435 0.9794413 0.9880336
aou + nitrate Atlantic (27,27.25] 0.9673494 0.9638797 0.9720354
aou + nitrate Atlantic (27.25,27.5] 0.9304925 0.9148523 0.9534619
aou + nitrate Atlantic (27.5,27.75] 0.8383859 0.7705278 0.9078819
aou + nitrate Atlantic (27.75,27.85] 0.7059731 0.5851670 0.8087130
aou + nitrate Atlantic (27.85,27.95] 0.7363406 0.6423324 0.8085897
aou + nitrate Atlantic (27.95,28.05] 0.8536826 0.7617335 0.9088960
aou + nitrate Atlantic (28.05,28.1] 0.9536980 0.9304301 0.9667279
aou + nitrate Atlantic (28.1,28.15] 0.9690623 0.9393504 0.9851292
aou + nitrate Atlantic (28.15,28.2] 0.9787875 0.9650723 0.9882994
aou + nitrate Atlantic (28.2, Inf] 0.9274656 0.8908147 0.9532379
aou + nitrate Indo-Pacific (-Inf,26] 0.9298217 0.9200802 0.9479071
aou + nitrate Indo-Pacific (26,26.5] 0.8679322 0.8116690 0.8991409
aou + nitrate Indo-Pacific (26.5,26.75] 0.8610035 0.8338274 0.8953922
aou + nitrate Indo-Pacific (26.75,27] 0.8659504 0.8358846 0.9074235
aou + nitrate Indo-Pacific (27,27.25] 0.9000226 0.8431837 0.9331345
aou + nitrate Indo-Pacific (27.25,27.5] 0.9282377 0.8977839 0.9556760
aou + nitrate Indo-Pacific (27.5,27.75] 0.9530568 0.9222587 0.9710012
aou + nitrate Indo-Pacific (27.75,27.85] 0.9747235 0.9564368 0.9858544
aou + nitrate Indo-Pacific (27.85,27.95] 0.9803461 0.9646270 0.9897776
aou + nitrate Indo-Pacific (27.95,28.05] 0.9930891 0.9879484 0.9966670
aou + nitrate Indo-Pacific (28.05,28.1] 0.9923434 0.9870494 0.9957566
aou + nitrate Indo-Pacific (28.1, Inf] 0.9850635 0.9751661 0.9928489
aou + phosphate Atlantic (-Inf,26] 0.8797223 0.8454592 0.9405690
aou + phosphate Atlantic (26,26.5] 0.8694177 0.8213178 0.8997598
aou + phosphate Atlantic (26.5,26.75] 0.9366022 0.9094021 0.9573402
aou + phosphate Atlantic (26.75,27] 0.9580609 0.9510254 0.9660685
aou + phosphate Atlantic (27,27.25] 0.9294518 0.9230901 0.9348576
aou + phosphate Atlantic (27.25,27.5] 0.8895980 0.8619477 0.9210518
aou + phosphate Atlantic (27.5,27.75] 0.7954770 0.7171603 0.8727709
aou + phosphate Atlantic (27.75,27.85] 0.6712147 0.5440963 0.7835258
aou + phosphate Atlantic (27.85,27.95] 0.7121719 0.6166930 0.7906833
aou + phosphate Atlantic (27.95,28.05] 0.8413306 0.7514704 0.8974205
aou + phosphate Atlantic (28.05,28.1] 0.9499216 0.9275322 0.9618320
aou + phosphate Atlantic (28.1,28.15] 0.9664524 0.9361266 0.9817981
aou + phosphate Atlantic (28.15,28.2] 0.9810368 0.9686059 0.9896248
aou + phosphate Atlantic (28.2, Inf] 0.9134353 0.8576459 0.9449300
aou + phosphate Indo-Pacific (-Inf,26] 0.9479660 0.9417401 0.9529637
aou + phosphate Indo-Pacific (26,26.5] 0.9609894 0.9579450 0.9628313
aou + phosphate Indo-Pacific (26.5,26.75] 0.9667803 0.9601519 0.9749499
aou + phosphate Indo-Pacific (26.75,27] 0.9653971 0.9497639 0.9753506
aou + phosphate Indo-Pacific (27,27.25] 0.9737280 0.9567099 0.9841680
aou + phosphate Indo-Pacific (27.25,27.5] 0.9804098 0.9747151 0.9862463
aou + phosphate Indo-Pacific (27.5,27.75] 0.9851565 0.9780981 0.9901523
aou + phosphate Indo-Pacific (27.75,27.85] 0.9920741 0.9893797 0.9937582
aou + phosphate Indo-Pacific (27.85,27.95] 0.9941432 0.9933555 0.9950350
aou + phosphate Indo-Pacific (27.95,28.05] 0.9956758 0.9945192 0.9971087
aou + phosphate Indo-Pacific (28.05,28.1] 0.9949437 0.9928772 0.9964472
aou + phosphate Indo-Pacific (28.1, Inf] 0.9880886 0.9814919 0.9933853
aou + phosphate_star Atlantic (-Inf,26] 0.1180299 -0.3917576 0.4950508
aou + phosphate_star Atlantic (26,26.5] 0.3514403 0.2555769 0.4260641
aou + phosphate_star Atlantic (26.5,26.75] 0.2684327 0.0012011 0.8006412
aou + phosphate_star Atlantic (26.75,27] 0.0391825 -0.0829558 0.2501480
aou + phosphate_star Atlantic (27,27.25] 0.0520499 -0.0154521 0.1309052
aou + phosphate_star Atlantic (27.25,27.5] 0.0724906 0.0066759 0.1777080
aou + phosphate_star Atlantic (27.5,27.75] 0.1798789 0.1090152 0.2502067
aou + phosphate_star Atlantic (27.75,27.85] 0.2560837 0.0857849 0.4411606
aou + phosphate_star Atlantic (27.85,27.95] 0.3869849 0.2736598 0.5098378
aou + phosphate_star Atlantic (27.95,28.05] 0.6449689 0.5257420 0.7301504
aou + phosphate_star Atlantic (28.05,28.1] 0.8689591 0.8392074 0.8929792
aou + phosphate_star Atlantic (28.1,28.15] 0.9107863 0.8495926 0.9476215
aou + phosphate_star Atlantic (28.15,28.2] 0.9397072 0.9078867 0.9603971
aou + phosphate_star Atlantic (28.2, Inf] 0.8274831 0.7401352 0.8795158
aou + phosphate_star Indo-Pacific (-Inf,26] 0.4715589 0.4384196 0.4958020
aou + phosphate_star Indo-Pacific (26,26.5] 0.4849779 0.3761127 0.5535158
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4454941 0.3414180 0.6189926
aou + phosphate_star Indo-Pacific (26.75,27] 0.6115809 0.5011789 0.6839359
aou + phosphate_star Indo-Pacific (27,27.25] 0.6744492 0.6042132 0.7417942
aou + phosphate_star Indo-Pacific (27.25,27.5] 0.4563262 0.2908616 0.5507297
aou + phosphate_star Indo-Pacific (27.5,27.75] 0.0518881 -0.0805538 0.1182208
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.2937377 -0.4272718 -0.2239722
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.3717625 -0.4109472 -0.3454574
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.3658242 -0.4927515 -0.2979614
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.2423783 -0.3106871 -0.1702284
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.4564374 -0.4907821 -0.4153552
aou + silicate Atlantic (-Inf,26] -0.0607133 -0.5672851 0.3705651
aou + silicate Atlantic (26,26.5] 0.3517818 0.2291580 0.4961432
aou + silicate Atlantic (26.5,26.75] 0.6590828 0.5822938 0.6975094
aou + silicate Atlantic (26.75,27] 0.8240553 0.8027831 0.8445406
aou + silicate Atlantic (27,27.25] 0.6791360 0.6071360 0.7384657
aou + silicate Atlantic (27.25,27.5] 0.6598096 0.6403822 0.6948195
aou + silicate Atlantic (27.5,27.75] 0.5414871 0.4440817 0.6795436
aou + silicate Atlantic (27.75,27.85] 0.4213001 0.3113056 0.5731986
aou + silicate Atlantic (27.85,27.95] 0.4885544 0.4317394 0.6012056
aou + silicate Atlantic (27.95,28.05] 0.6847809 0.6507469 0.7347516
aou + silicate Atlantic (28.05,28.1] 0.8893716 0.8757003 0.8967628
aou + silicate Atlantic (28.1,28.15] 0.9388777 0.9169657 0.9620478
aou + silicate Atlantic (28.15,28.2] 0.9539604 0.9477180 0.9574735
aou + silicate Atlantic (28.2, Inf] 0.6946024 0.5276797 0.7936872
aou + silicate Indo-Pacific (-Inf,26] 0.8009147 0.7537655 0.8586584
aou + silicate Indo-Pacific (26,26.5] 0.8060008 0.7798297 0.8287876
aou + silicate Indo-Pacific (26.5,26.75] 0.7767913 0.7475759 0.8287836
aou + silicate Indo-Pacific (26.75,27] 0.8587504 0.8398416 0.8920133
aou + silicate Indo-Pacific (27,27.25] 0.9127624 0.8901973 0.9403641
aou + silicate Indo-Pacific (27.25,27.5] 0.9340893 0.9185567 0.9563035
aou + silicate Indo-Pacific (27.5,27.75] 0.9475271 0.9352255 0.9641676
aou + silicate Indo-Pacific (27.75,27.85] 0.9673599 0.9617059 0.9757410
aou + silicate Indo-Pacific (27.85,27.95] 0.9765054 0.9726890 0.9802530
aou + silicate Indo-Pacific (27.95,28.05] 0.9838627 0.9785192 0.9868381
aou + silicate Indo-Pacific (28.05,28.1] 0.9905751 0.9862901 0.9936860
aou + silicate Indo-Pacific (28.1, Inf] 0.8751647 0.8674855 0.8810706
nitrate + phosphate Atlantic (-Inf,26] 0.5795325 0.1686490 0.9974311
nitrate + phosphate Atlantic (26,26.5] 0.6887055 0.6626434 0.7095182
nitrate + phosphate Atlantic (26.5,26.75] 0.9482015 0.9257776 0.9666198
nitrate + phosphate Atlantic (26.75,27] 0.9756204 0.9720766 0.9822848
nitrate + phosphate Atlantic (27,27.25] 0.9841416 0.9794267 0.9893570
nitrate + phosphate Atlantic (27.25,27.5] 0.9895466 0.9853392 0.9925032
nitrate + phosphate Atlantic (27.5,27.75] 0.9948924 0.9937477 0.9963196
nitrate + phosphate Atlantic (27.75,27.85] 0.9985192 0.9982769 0.9989129
nitrate + phosphate Atlantic (27.85,27.95] 0.9989652 0.9987287 0.9992899
nitrate + phosphate Atlantic (27.95,28.05] 0.9992412 0.9989463 0.9994486
nitrate + phosphate Atlantic (28.05,28.1] 0.9996402 0.9995535 0.9997877
nitrate + phosphate Atlantic (28.1,28.15] 0.9995067 0.9993260 0.9996620
nitrate + phosphate Atlantic (28.15,28.2] 0.9970488 0.9961023 0.9977723
nitrate + phosphate Atlantic (28.2, Inf] 0.9932877 0.9930070 0.9937661
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9690214 0.9558810 0.9825514
nitrate + phosphate Indo-Pacific (26,26.5] 0.9030040 0.8341615 0.9465798
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.8946057 0.8667957 0.9291305
nitrate + phosphate Indo-Pacific (26.75,27] 0.8978342 0.8743610 0.9324804
nitrate + phosphate Indo-Pacific (27,27.25] 0.9173300 0.8617694 0.9451345
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9370494 0.9060001 0.9622274
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9654770 0.9429118 0.9784101
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9890923 0.9828794 0.9930469
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9918944 0.9835756 0.9969480
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9984792 0.9963121 0.9996314
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9984584 0.9964268 0.9996224
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9962575 0.9929748 0.9982764
nitrate + phosphate_star Atlantic (-Inf,26] -0.0042299 -0.7261828 0.7577811
nitrate + phosphate_star Atlantic (26,26.5] 0.2131580 0.1122876 0.2873334
nitrate + phosphate_star Atlantic (26.5,26.75] 0.3410188 0.0617721 0.8653198
nitrate + phosphate_star Atlantic (26.75,27] 0.1236195 0.0088701 0.3365583
nitrate + phosphate_star Atlantic (27,27.25] 0.2571517 0.1482348 0.3611058
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3742398 0.2748918 0.5060910
nitrate + phosphate_star Atlantic (27.5,27.75] 0.6520353 0.5984400 0.6881549
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8587533 0.8404163 0.8815441
nitrate + phosphate_star Atlantic (27.85,27.95] 0.9045300 0.8875949 0.9159772
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9441282 0.9356805 0.9499371
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9754394 0.9683707 0.9792228
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9820923 0.9777693 0.9881476
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9859364 0.9836957 0.9874353
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9704270 0.9593371 0.9763530
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.6889148 0.6513899 0.7292413
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.6671120 0.5427040 0.7682321
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.6296271 0.5519788 0.7747767
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.7514503 0.6776852 0.8028830
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.7729678 0.7482610 0.8203950
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.5647989 0.4528847 0.6412628
nitrate + phosphate_star Indo-Pacific (27.5,27.75] 0.2004590 0.0775625 0.2850835
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.1550101 -0.3055606 -0.0370096
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.2528302 -0.3044183 -0.2248167
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.2666894 -0.4045533 -0.1627462
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.1319654 -0.2120485 -0.0834550
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.3141823 -0.3918614 -0.2243038
nitrate + silicate Atlantic (-Inf,26] 0.1162686 -0.4962449 0.7902760
nitrate + silicate Atlantic (26,26.5] 0.7194827 0.6440464 0.8222492
nitrate + silicate Atlantic (26.5,26.75] 0.7685822 0.7003616 0.8274787
nitrate + silicate Atlantic (26.75,27] 0.8803423 0.8519425 0.8960950
nitrate + silicate Atlantic (27,27.25] 0.8246175 0.7601631 0.8687411
nitrate + silicate Atlantic (27.25,27.5] 0.8712836 0.8667571 0.8782054
nitrate + silicate Atlantic (27.5,27.75] 0.8870016 0.8686413 0.9070741
nitrate + silicate Atlantic (27.75,27.85] 0.9121266 0.8888113 0.9274714
nitrate + silicate Atlantic (27.85,27.95] 0.9222016 0.8888313 0.9389792
nitrate + silicate Atlantic (27.95,28.05] 0.9316886 0.9041615 0.9605303
nitrate + silicate Atlantic (28.05,28.1] 0.9627771 0.9498924 0.9805529
nitrate + silicate Atlantic (28.1,28.15] 0.9752580 0.9653137 0.9844081
nitrate + silicate Atlantic (28.15,28.2] 0.9491871 0.9365387 0.9593758
nitrate + silicate Atlantic (28.2, Inf] 0.8025542 0.7622700 0.8241224
nitrate + silicate Indo-Pacific (-Inf,26] 0.8640646 0.7837366 0.9262013
nitrate + silicate Indo-Pacific (26,26.5] 0.8782772 0.7919972 0.9285174
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8812976 0.8361547 0.9152349
nitrate + silicate Indo-Pacific (26.75,27] 0.9155768 0.8937534 0.9357864
nitrate + silicate Indo-Pacific (27,27.25] 0.9395052 0.9157610 0.9522066
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9533499 0.9411501 0.9670682
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9708251 0.9632569 0.9788390
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9875028 0.9836114 0.9896264
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9876537 0.9863658 0.9898399
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9902376 0.9881412 0.9921738
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9935261 0.9928374 0.9939221
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8727757 0.8704965 0.8764257
phosphate + phosphate_star Atlantic (-Inf,26] 0.4062151 -0.0779038 0.7540386
phosphate + phosphate_star Atlantic (26,26.5] 0.7419037 0.6198467 0.8627276
phosphate + phosphate_star Atlantic (26.5,26.75] 0.5458187 0.3105399 0.9365609
phosphate + phosphate_star Atlantic (26.75,27] 0.3009136 0.1581070 0.5287751
phosphate + phosphate_star Atlantic (27,27.25] 0.4032941 0.3246826 0.4663395
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4918007 0.3934739 0.5980597
phosphate + phosphate_star Atlantic (27.5,27.75] 0.7182391 0.6750114 0.7536114
phosphate + phosphate_star Atlantic (27.75,27.85] 0.8834792 0.8691001 0.9012719
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9201305 0.9075564 0.9284177
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9527751 0.9474915 0.9556302
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9789712 0.9734869 0.9822767
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9850815 0.9801690 0.9902194
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9869960 0.9826848 0.9893391
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9811289 0.9767784 0.9850924
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.7115680 0.6738281 0.7422165
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.6968009 0.6087362 0.7630087
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6435750 0.5717944 0.7709547
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.7729674 0.6892191 0.8150067
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.8076977 0.7453096 0.8400069
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.6106640 0.4713265 0.6866625
phosphate + phosphate_star Indo-Pacific (27.5,27.75] 0.2102259 0.0774214 0.3046951
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.1833500 -0.3197098 -0.1000203
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.2777538 -0.3077842 -0.2520492
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.2811308 -0.4089532 -0.1988545
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.1475009 -0.2216435 -0.0885841
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.3219911 -0.3926842 -0.2394909
sal + aou Atlantic (-Inf,26] -0.0354603 -0.3463822 0.5518160
sal + aou Atlantic (26,26.5] -0.3584620 -0.6658647 -0.1761554
sal + aou Atlantic (26.5,26.75] 0.0211844 -0.7005182 0.4862776
sal + aou Atlantic (26.75,27] 0.4239885 0.1888712 0.6657627
sal + aou Atlantic (27,27.25] 0.4344936 0.3292432 0.4874028
sal + aou Atlantic (27.25,27.5] 0.5006223 0.3444139 0.6188141
sal + aou Atlantic (27.5,27.75] 0.5392442 0.4525104 0.6893951
sal + aou Atlantic (27.75,27.85] 0.3911146 0.3547015 0.4280603
sal + aou Atlantic (27.85,27.95] 0.1925594 0.1439286 0.2285539
sal + aou Atlantic (27.95,28.05] -0.2151166 -0.2802839 -0.1222074
sal + aou Atlantic (28.05,28.1] -0.7535934 -0.7753338 -0.7252458
sal + aou Atlantic (28.1,28.15] -0.8780993 -0.9176850 -0.8339963
sal + aou Atlantic (28.15,28.2] -0.8586370 -0.8880429 -0.8382830
sal + aou Atlantic (28.2, Inf] -0.8785983 -0.9184531 -0.8529036
sal + aou Indo-Pacific (-Inf,26] -0.0807615 -0.2028731 0.0210955
sal + aou Indo-Pacific (26,26.5] -0.2744690 -0.4304484 -0.0691325
sal + aou Indo-Pacific (26.5,26.75] -0.1606143 -0.4590516 0.0662911
sal + aou Indo-Pacific (26.75,27] -0.3376573 -0.5756767 -0.1046978
sal + aou Indo-Pacific (27,27.25] -0.5839910 -0.6996572 -0.5004343
sal + aou Indo-Pacific (27.25,27.5] -0.4495147 -0.6178519 -0.2183402
sal + aou Indo-Pacific (27.5,27.75] 0.0086457 -0.1452540 0.2297624
sal + aou Indo-Pacific (27.75,27.85] 0.4368598 0.3624670 0.5700270
sal + aou Indo-Pacific (27.85,27.95] 0.6257555 0.5660857 0.6557357
sal + aou Indo-Pacific (27.95,28.05] 0.8147276 0.7477993 0.8570462
sal + aou Indo-Pacific (28.05,28.1] 0.8703325 0.8008989 0.9243819
sal + aou Indo-Pacific (28.1, Inf] 0.5411619 0.5248054 0.5559620
sal + nitrate Atlantic (-Inf,26] -0.0588015 -0.8492624 0.8025938
sal + nitrate Atlantic (26,26.5] -0.3252851 -0.5551501 -0.1442542
sal + nitrate Atlantic (26.5,26.75] 0.0063007 -0.7305363 0.4953615
sal + nitrate Atlantic (26.75,27] 0.4324747 0.1572504 0.6767424
sal + nitrate Atlantic (27,27.25] 0.3395306 0.1527890 0.4829051
sal + nitrate Atlantic (27.25,27.5] 0.3632458 0.1492813 0.5407981
sal + nitrate Atlantic (27.5,27.75] 0.3266639 0.2058596 0.5641413
sal + nitrate Atlantic (27.75,27.85] -0.1667509 -0.2632596 -0.0767918
sal + nitrate Atlantic (27.85,27.95] -0.3976413 -0.4928838 -0.3474701
sal + nitrate Atlantic (27.95,28.05] -0.5741497 -0.7384289 -0.4296425
sal + nitrate Atlantic (28.05,28.1] -0.8874435 -0.9260721 -0.8521203
sal + nitrate Atlantic (28.1,28.15] -0.9464956 -0.9553730 -0.9349838
sal + nitrate Atlantic (28.15,28.2] -0.9252758 -0.9371264 -0.9028017
sal + nitrate Atlantic (28.2, Inf] -0.9425108 -0.9649662 -0.9264733
sal + nitrate Indo-Pacific (-Inf,26] -0.2460433 -0.4099305 -0.1292758
sal + nitrate Indo-Pacific (26,26.5] -0.5288785 -0.6764799 -0.3997222
sal + nitrate Indo-Pacific (26.5,26.75] -0.3998320 -0.6683260 -0.1112346
sal + nitrate Indo-Pacific (26.75,27] -0.5032367 -0.7163648 -0.1832474
sal + nitrate Indo-Pacific (27,27.25] -0.6737836 -0.7897504 -0.5385684
sal + nitrate Indo-Pacific (27.25,27.5] -0.5145269 -0.6722805 -0.4175453
sal + nitrate Indo-Pacific (27.5,27.75] -0.0002845 -0.1701280 0.0964457
sal + nitrate Indo-Pacific (27.75,27.85] 0.4728059 0.4106132 0.5571543
sal + nitrate Indo-Pacific (27.85,27.95] 0.6385415 0.5566892 0.7180123
sal + nitrate Indo-Pacific (27.95,28.05] 0.7602639 0.6516914 0.8358231
sal + nitrate Indo-Pacific (28.05,28.1] 0.8177390 0.7101093 0.8998605
sal + nitrate Indo-Pacific (28.1, Inf] 0.4736639 0.4334685 0.5000055
sal + phosphate Atlantic (-Inf,26] 0.0775413 -0.1263238 0.2500138
sal + phosphate Atlantic (26,26.5] -0.5782523 -0.8989293 -0.3494594
sal + phosphate Atlantic (26.5,26.75] -0.1578144 -0.8222701 0.3064427
sal + phosphate Atlantic (26.75,27] 0.2912725 -0.0227344 0.5953302
sal + phosphate Atlantic (27,27.25] 0.2016042 -0.0045045 0.3234120
sal + phosphate Atlantic (27.25,27.5] 0.2420080 0.0413243 0.4320607
sal + phosphate Atlantic (27.5,27.75] 0.2455334 0.1227291 0.4794975
sal + phosphate Atlantic (27.75,27.85] -0.2091696 -0.3070198 -0.1135104
sal + phosphate Atlantic (27.85,27.95] -0.4294330 -0.5217563 -0.3747730
sal + phosphate Atlantic (27.95,28.05] -0.5883784 -0.7451350 -0.4512941
sal + phosphate Atlantic (28.05,28.1] -0.8943623 -0.9290997 -0.8613739
sal + phosphate Atlantic (28.1,28.15] -0.9483095 -0.9561676 -0.9383644
sal + phosphate Atlantic (28.15,28.2] -0.9008450 -0.9163948 -0.8697705
sal + phosphate Atlantic (28.2, Inf] -0.9076886 -0.9312439 -0.8874431
sal + phosphate Indo-Pacific (-Inf,26] -0.2532653 -0.3793352 -0.1676778
sal + phosphate Indo-Pacific (26,26.5] -0.4461548 -0.6220492 -0.2816937
sal + phosphate Indo-Pacific (26.5,26.75] -0.3024089 -0.5987142 0.0098315
sal + phosphate Indo-Pacific (26.75,27] -0.3946803 -0.6542241 -0.0102255
sal + phosphate Indo-Pacific (27,27.25] -0.6051989 -0.7489694 -0.4357994
sal + phosphate Indo-Pacific (27.25,27.5] -0.4751952 -0.6507980 -0.3634698
sal + phosphate Indo-Pacific (27.5,27.75] 0.0023387 -0.1732652 0.1053523
sal + phosphate Indo-Pacific (27.75,27.85] 0.4354178 0.3700196 0.4834731
sal + phosphate Indo-Pacific (27.85,27.95] 0.6045185 0.5907237 0.6137745
sal + phosphate Indo-Pacific (27.95,28.05] 0.7765567 0.6962548 0.8355103
sal + phosphate Indo-Pacific (28.05,28.1] 0.8374698 0.7553089 0.9042853
sal + phosphate Indo-Pacific (28.1, Inf] 0.5229922 0.5038513 0.5363925
sal + phosphate_star Atlantic (-Inf,26] -0.2309096 -0.9386447 0.2394851
sal + phosphate_star Atlantic (26,26.5] -0.8052943 -0.8665636 -0.7452789
sal + phosphate_star Atlantic (26.5,26.75] -0.7922316 -0.9208148 -0.6952523
sal + phosphate_star Atlantic (26.75,27] -0.6309690 -0.7293988 -0.4926522
sal + phosphate_star Atlantic (27,27.25] -0.6700783 -0.8364721 -0.5445820
sal + phosphate_star Atlantic (27.25,27.5] -0.6170831 -0.6657472 -0.5580594
sal + phosphate_star Atlantic (27.5,27.75] -0.3616139 -0.4322168 -0.2259866
sal + phosphate_star Atlantic (27.75,27.85] -0.5639021 -0.6485644 -0.4559996
sal + phosphate_star Atlantic (27.85,27.95] -0.7006564 -0.7626431 -0.6430226
sal + phosphate_star Atlantic (27.95,28.05] -0.7499602 -0.8730882 -0.6513986
sal + phosphate_star Atlantic (28.05,28.1] -0.9498024 -0.9707942 -0.9342445
sal + phosphate_star Atlantic (28.1,28.15] -0.9705745 -0.9786988 -0.9658882
sal + phosphate_star Atlantic (28.15,28.2] -0.9283614 -0.9513664 -0.8970434
sal + phosphate_star Atlantic (28.2, Inf] -0.8965850 -0.9180226 -0.8633045
sal + phosphate_star Indo-Pacific (-Inf,26] -0.6520536 -0.7214038 -0.6073636
sal + phosphate_star Indo-Pacific (26,26.5] -0.8420775 -0.9159295 -0.7638630
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.7969258 -0.9180890 -0.5557089
sal + phosphate_star Indo-Pacific (26.75,27] -0.6954844 -0.9355085 -0.2811542
sal + phosphate_star Indo-Pacific (27,27.25] -0.7471499 -0.9380070 -0.4199911
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.5959871 -0.8640922 -0.2087914
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.3304168 -0.8298077 0.3054396
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.4211629 -0.9179485 0.1441959
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.5990233 -0.8497706 -0.2358537
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.6796271 -0.7842170 -0.5401127
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5398432 -0.6097422 -0.4003802
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.3996929 -0.4473727 -0.3636179
sal + silicate Atlantic (-Inf,26] -0.8292653 -0.8836089 -0.7712514
sal + silicate Atlantic (26,26.5] 0.0132556 -0.0831532 0.1281923
sal + silicate Atlantic (26.5,26.75] 0.1106800 -0.3813069 0.4707401
sal + silicate Atlantic (26.75,27] 0.2995570 -0.0247413 0.5679297
sal + silicate Atlantic (27,27.25] -0.0041197 -0.3777178 0.3006183
sal + silicate Atlantic (27.25,27.5] 0.1126639 -0.0858816 0.2661150
sal + silicate Atlantic (27.5,27.75] 0.0506659 -0.0650273 0.2737619
sal + silicate Atlantic (27.75,27.85] -0.4567680 -0.5129486 -0.3722575
sal + silicate Atlantic (27.85,27.95] -0.6633044 -0.7016454 -0.6079053
sal + silicate Atlantic (27.95,28.05] -0.7582598 -0.8303995 -0.6900865
sal + silicate Atlantic (28.05,28.1] -0.9476842 -0.9524490 -0.9417474
sal + silicate Atlantic (28.1,28.15] -0.9496928 -0.9517297 -0.9472098
sal + silicate Atlantic (28.15,28.2] -0.7933942 -0.8239862 -0.7361500
sal + silicate Atlantic (28.2, Inf] -0.6141725 -0.6686609 -0.5286756
sal + silicate Indo-Pacific (-Inf,26] -0.4721090 -0.5917283 -0.3764108
sal + silicate Indo-Pacific (26,26.5] -0.5950323 -0.7103964 -0.5077063
sal + silicate Indo-Pacific (26.5,26.75] -0.5368920 -0.7453018 -0.2668815
sal + silicate Indo-Pacific (26.75,27] -0.5574314 -0.7372209 -0.2358185
sal + silicate Indo-Pacific (27,27.25] -0.6861234 -0.7881662 -0.5150911
sal + silicate Indo-Pacific (27.25,27.5] -0.5638688 -0.7046009 -0.4621724
sal + silicate Indo-Pacific (27.5,27.75] -0.0604375 -0.2237373 0.0815309
sal + silicate Indo-Pacific (27.75,27.85] 0.4082534 0.3511221 0.4984466
sal + silicate Indo-Pacific (27.85,27.95] 0.5846734 0.5114784 0.6438199
sal + silicate Indo-Pacific (27.95,28.05] 0.7618229 0.6490090 0.8435379
sal + silicate Indo-Pacific (28.05,28.1] 0.8305945 0.7319293 0.9107821
sal + silicate Indo-Pacific (28.1, Inf] 0.7698100 0.7087277 0.8226080
sal + temp Atlantic (-Inf,26] 0.6201148 0.1109140 0.8799713
sal + temp Atlantic (26,26.5] 0.9386011 0.9353714 0.9425088
sal + temp Atlantic (26.5,26.75] 0.9866231 0.9847745 0.9902855
sal + temp Atlantic (26.75,27] 0.9817899 0.9747009 0.9860624
sal + temp Atlantic (27,27.25] 0.9699875 0.9587797 0.9848993
sal + temp Atlantic (27.25,27.5] 0.9864443 0.9823407 0.9888580
sal + temp Atlantic (27.5,27.75] 0.9704550 0.9628300 0.9804289
sal + temp Atlantic (27.75,27.85] 0.9674187 0.9585308 0.9731551
sal + temp Atlantic (27.85,27.95] 0.9607269 0.9527849 0.9658686
sal + temp Atlantic (27.95,28.05] 0.9397327 0.9159046 0.9640767
sal + temp Atlantic (28.05,28.1] 0.9607845 0.9314528 0.9792788
sal + temp Atlantic (28.1,28.15] 0.9579883 0.9346191 0.9721216
sal + temp Atlantic (28.15,28.2] 0.9543896 0.9339999 0.9730249
sal + temp Atlantic (28.2, Inf] 0.9365506 0.9238434 0.9596189
sal + temp Indo-Pacific (-Inf,26] 0.6863799 0.5482562 0.7687640
sal + temp Indo-Pacific (26,26.5] 0.9446759 0.9192129 0.9594770
sal + temp Indo-Pacific (26.5,26.75] 0.9799624 0.9726037 0.9842431
sal + temp Indo-Pacific (26.75,27] 0.9810256 0.9785259 0.9825284
sal + temp Indo-Pacific (27,27.25] 0.9782789 0.9721441 0.9823804
sal + temp Indo-Pacific (27.25,27.5] 0.9266016 0.9169123 0.9379856
sal + temp Indo-Pacific (27.5,27.75] 0.8257196 0.7814482 0.8793027
sal + temp Indo-Pacific (27.75,27.85] 0.9461509 0.9270627 0.9578937
sal + temp Indo-Pacific (27.85,27.95] 0.9367851 0.9276572 0.9475877
sal + temp Indo-Pacific (27.95,28.05] 0.9059747 0.8666808 0.9258028
sal + temp Indo-Pacific (28.05,28.1] 0.9467984 0.9437875 0.9526414
sal + temp Indo-Pacific (28.1, Inf] 0.6206300 0.6137509 0.6249223
silicate + phosphate Atlantic (-Inf,26] -0.2811356 -0.4591207 0.0607795
silicate + phosphate Atlantic (26,26.5] 0.0474492 -0.0855200 0.1371630
silicate + phosphate Atlantic (26.5,26.75] 0.5851594 0.4522078 0.6797892
silicate + phosphate Atlantic (26.75,27] 0.8836384 0.8502784 0.9069097
silicate + phosphate Atlantic (27,27.25] 0.8777401 0.8425467 0.9051752
silicate + phosphate Atlantic (27.25,27.5] 0.9090398 0.9024492 0.9183614
silicate + phosphate Atlantic (27.5,27.75] 0.9197544 0.8998850 0.9400460
silicate + phosphate Atlantic (27.75,27.85] 0.9318142 0.9129848 0.9430906
silicate + phosphate Atlantic (27.85,27.95] 0.9374008 0.9100194 0.9519723
silicate + phosphate Atlantic (27.95,28.05] 0.9426709 0.9198999 0.9667184
silicate + phosphate Atlantic (28.05,28.1] 0.9689677 0.9578669 0.9837724
silicate + phosphate Atlantic (28.1,28.15] 0.9808489 0.9731929 0.9879245
silicate + phosphate Atlantic (28.15,28.2] 0.9686215 0.9618993 0.9744385
silicate + phosphate Atlantic (28.2, Inf] 0.8633009 0.8301791 0.8820782
silicate + phosphate Indo-Pacific (-Inf,26] 0.8799844 0.8241751 0.9331491
silicate + phosphate Indo-Pacific (26,26.5] 0.8862415 0.8760832 0.9034394
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8603163 0.8328902 0.8930829
silicate + phosphate Indo-Pacific (26.75,27] 0.9097292 0.8899357 0.9243122
silicate + phosphate Indo-Pacific (27,27.25] 0.9461051 0.9339697 0.9583485
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9622897 0.9526260 0.9739273
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9733755 0.9665450 0.9811490
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9832038 0.9790043 0.9866698
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9867428 0.9823874 0.9894391
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9891633 0.9860576 0.9918085
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9944087 0.9927992 0.9955029
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8940601 0.8899618 0.8962287
silicate + phosphate_star Atlantic (-Inf,26] -0.0872364 -0.5012973 0.5961567
silicate + phosphate_star Atlantic (26,26.5] -0.3131953 -0.4159299 -0.2190162
silicate + phosphate_star Atlantic (26.5,26.75] 0.0964407 -0.1528385 0.5717657
silicate + phosphate_star Atlantic (26.75,27] 0.3118572 0.1743087 0.5234200
silicate + phosphate_star Atlantic (27,27.25] 0.6532007 0.4701928 0.7564386
silicate + phosphate_star Atlantic (27.25,27.5] 0.6731790 0.6234072 0.7644239
silicate + phosphate_star Atlantic (27.5,27.75] 0.8682431 0.8399409 0.8828136
silicate + phosphate_star Atlantic (27.75,27.85] 0.9597440 0.9431492 0.9721618
silicate + phosphate_star Atlantic (27.85,27.95] 0.9712649 0.9615250 0.9795725
silicate + phosphate_star Atlantic (27.95,28.05] 0.9721895 0.9637517 0.9805883
silicate + phosphate_star Atlantic (28.05,28.1] 0.9764195 0.9758161 0.9772072
silicate + phosphate_star Atlantic (28.1,28.15] 0.9771051 0.9745453 0.9789895
silicate + phosphate_star Atlantic (28.15,28.2] 0.9459328 0.9410620 0.9514798
silicate + phosphate_star Atlantic (28.2, Inf] 0.8703148 0.8637636 0.8827983
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7322573 0.6324880 0.8001731
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7608215 0.7383677 0.7868558
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.7630581 0.6924318 0.8381289
silicate + phosphate_star Indo-Pacific (26.75,27] 0.8126207 0.7958082 0.8227830
silicate + phosphate_star Indo-Pacific (27,27.25] 0.8281468 0.8094460 0.8408587
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.6610052 0.5598580 0.7215804
silicate + phosphate_star Indo-Pacific (27.5,27.75] 0.2923635 0.1739953 0.3894379
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.1135259 -0.2322907 -0.0261108
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.2303551 -0.2786043 -0.1818823
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.2550196 -0.3941430 -0.1579089
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.1532308 -0.2279054 -0.1055725
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.2630163 -0.3409168 -0.1651318
temp + aou Atlantic (-Inf,26] -0.3635737 -0.8454485 0.1960620
temp + aou Atlantic (26,26.5] -0.4398654 -0.7056440 -0.2777851
temp + aou Atlantic (26.5,26.75] -0.0239322 -0.7224167 0.4277396
temp + aou Atlantic (26.75,27] 0.3581593 0.0895196 0.6071788
temp + aou Atlantic (27,27.25] 0.4007710 0.2826129 0.4882410
temp + aou Atlantic (27.25,27.5] 0.5211067 0.3771098 0.6362756
temp + aou Atlantic (27.5,27.75] 0.5387692 0.4610354 0.6933291
temp + aou Atlantic (27.75,27.85] 0.3635126 0.2806714 0.4329082
temp + aou Atlantic (27.85,27.95] 0.1887050 0.1072929 0.2339863
temp + aou Atlantic (27.95,28.05] -0.1285359 -0.1922615 -0.0406871
temp + aou Atlantic (28.05,28.1] -0.6214172 -0.6829816 -0.5089655
temp + aou Atlantic (28.1,28.15] -0.7741059 -0.8467757 -0.7341996
temp + aou Atlantic (28.15,28.2] -0.8188118 -0.8570267 -0.7974772
temp + aou Atlantic (28.2, Inf] -0.8115051 -0.8711107 -0.7605282
temp + aou Indo-Pacific (-Inf,26] -0.3639379 -0.4245511 -0.2516896
temp + aou Indo-Pacific (26,26.5] -0.3048265 -0.4280308 -0.1223718
temp + aou Indo-Pacific (26.5,26.75] -0.1456068 -0.4440093 0.0856848
temp + aou Indo-Pacific (26.75,27] -0.2937040 -0.5231802 -0.0529357
temp + aou Indo-Pacific (27,27.25] -0.5563233 -0.6688765 -0.4904860
temp + aou Indo-Pacific (27.25,27.5] -0.4190327 -0.5723833 -0.2138677
temp + aou Indo-Pacific (27.5,27.75] 0.0173421 -0.1112709 0.1983936
temp + aou Indo-Pacific (27.75,27.85] 0.4595921 0.3958680 0.5863514
temp + aou Indo-Pacific (27.85,27.95] 0.6324135 0.6241193 0.6421851
temp + aou Indo-Pacific (27.95,28.05] 0.7650444 0.7101199 0.7948764
temp + aou Indo-Pacific (28.05,28.1] 0.8029770 0.7487384 0.8424258
temp + aou Indo-Pacific (28.1, Inf] 0.8514002 0.8126167 0.8757007
temp + nitrate Atlantic (-Inf,26] -0.4094528 -0.9650980 0.6089568
temp + nitrate Atlantic (26,26.5] -0.3753126 -0.5485218 -0.2064036
temp + nitrate Atlantic (26.5,26.75] -0.0462525 -0.7669059 0.4322744
temp + nitrate Atlantic (26.75,27] 0.3591866 0.0523780 0.6079925
temp + nitrate Atlantic (27,27.25] 0.3014796 0.1012709 0.4855052
temp + nitrate Atlantic (27.25,27.5] 0.3926821 0.1912116 0.5656747
temp + nitrate Atlantic (27.5,27.75] 0.3234275 0.1937665 0.5624580
temp + nitrate Atlantic (27.75,27.85] -0.2421104 -0.3204121 -0.1952157
temp + nitrate Atlantic (27.85,27.95] -0.4369163 -0.5175160 -0.3776729
temp + nitrate Atlantic (27.95,28.05] -0.5543353 -0.7118489 -0.4138724
temp + nitrate Atlantic (28.05,28.1] -0.7997962 -0.8802458 -0.6939944
temp + nitrate Atlantic (28.1,28.15] -0.8747293 -0.9044116 -0.8233888
temp + nitrate Atlantic (28.15,28.2] -0.8955068 -0.9139826 -0.8626591
temp + nitrate Atlantic (28.2, Inf] -0.9029684 -0.9559704 -0.8692531
temp + nitrate Indo-Pacific (-Inf,26] -0.5740687 -0.6375519 -0.4712464
temp + nitrate Indo-Pacific (26,26.5] -0.5521655 -0.6760195 -0.4389677
temp + nitrate Indo-Pacific (26.5,26.75] -0.3777893 -0.6526267 -0.0654490
temp + nitrate Indo-Pacific (26.75,27] -0.4667258 -0.6748484 -0.1325363
temp + nitrate Indo-Pacific (27,27.25] -0.6601271 -0.7726922 -0.5139558
temp + nitrate Indo-Pacific (27.25,27.5] -0.5132592 -0.6545331 -0.4423622
temp + nitrate Indo-Pacific (27.5,27.75] -0.0548053 -0.1991455 0.0244260
temp + nitrate Indo-Pacific (27.75,27.85] 0.4749137 0.3991207 0.5569857
temp + nitrate Indo-Pacific (27.85,27.95] 0.6173250 0.5298001 0.7231111
temp + nitrate Indo-Pacific (27.95,28.05] 0.6984757 0.6076099 0.7542721
temp + nitrate Indo-Pacific (28.05,28.1] 0.7379690 0.6463662 0.8023131
temp + nitrate Indo-Pacific (28.1, Inf] 0.7864404 0.7088494 0.8398163
temp + phosphate Atlantic (-Inf,26] -0.3750392 -0.9580271 -0.0794935
temp + phosphate Atlantic (26,26.5] -0.6480913 -0.9270150 -0.4653484
temp + phosphate Atlantic (26.5,26.75] -0.1934736 -0.8299116 0.2489149
temp + phosphate Atlantic (26.75,27] 0.2269216 -0.1100824 0.5299372
temp + phosphate Atlantic (27,27.25] 0.1782027 -0.0356677 0.3362151
temp + phosphate Atlantic (27.25,27.5] 0.2767498 0.0869664 0.4635287
temp + phosphate Atlantic (27.5,27.75] 0.2465741 0.1109265 0.4819505
temp + phosphate Atlantic (27.75,27.85] -0.2862516 -0.3655153 -0.2342355
temp + phosphate Atlantic (27.85,27.95] -0.4702123 -0.5479758 -0.4178912
temp + phosphate Atlantic (27.95,28.05] -0.5746961 -0.7224627 -0.4416331
temp + phosphate Atlantic (28.05,28.1] -0.8100208 -0.8848518 -0.7092966
temp + phosphate Atlantic (28.1,28.15] -0.8822729 -0.9088323 -0.8360505
temp + phosphate Atlantic (28.15,28.2] -0.8847109 -0.9034319 -0.8486953
temp + phosphate Atlantic (28.2, Inf] -0.8891247 -0.9395433 -0.8579053
temp + phosphate Indo-Pacific (-Inf,26] -0.5461067 -0.6133487 -0.4254209
temp + phosphate Indo-Pacific (26,26.5] -0.4884835 -0.6321000 -0.3392670
temp + phosphate Indo-Pacific (26.5,26.75] -0.2863658 -0.5860275 0.0377964
temp + phosphate Indo-Pacific (26.75,27] -0.3577947 -0.6128966 0.0389211
temp + phosphate Indo-Pacific (27,27.25] -0.5869282 -0.7286982 -0.4045804
temp + phosphate Indo-Pacific (27.25,27.5] -0.4725709 -0.6338234 -0.3782308
temp + phosphate Indo-Pacific (27.5,27.75] -0.0339660 -0.1816610 0.0543427
temp + phosphate Indo-Pacific (27.75,27.85] 0.4440937 0.3690795 0.4969389
temp + phosphate Indo-Pacific (27.85,27.95] 0.5942575 0.5595671 0.6409155
temp + phosphate Indo-Pacific (27.95,28.05] 0.7145264 0.6454647 0.7586602
temp + phosphate Indo-Pacific (28.05,28.1] 0.7558177 0.6853619 0.8069541
temp + phosphate Indo-Pacific (28.1, Inf] 0.8091279 0.7472412 0.8529236
temp + phosphate_star Atlantic (-Inf,26] -0.7007814 -0.9725402 -0.2611051
temp + phosphate_star Atlantic (26,26.5] -0.8354031 -0.8849447 -0.8067519
temp + phosphate_star Atlantic (26.5,26.75] -0.7968073 -0.9159886 -0.7158083
temp + phosphate_star Atlantic (26.75,27] -0.6587440 -0.7468024 -0.5403448
temp + phosphate_star Atlantic (27,27.25] -0.6671277 -0.8236002 -0.5657699
temp + phosphate_star Atlantic (27.25,27.5] -0.5874496 -0.6335774 -0.5252364
temp + phosphate_star Atlantic (27.5,27.75] -0.3658016 -0.4386706 -0.2301739
temp + phosphate_star Atlantic (27.75,27.85] -0.6464858 -0.7168345 -0.5771082
temp + phosphate_star Atlantic (27.85,27.95] -0.7513565 -0.8019822 -0.7179758
temp + phosphate_star Atlantic (27.95,28.05] -0.7756343 -0.8813301 -0.6821205
temp + phosphate_star Atlantic (28.05,28.1] -0.9045458 -0.9526053 -0.8454114
temp + phosphate_star Atlantic (28.1,28.15] -0.9392403 -0.9630935 -0.9135117
temp + phosphate_star Atlantic (28.15,28.2] -0.9350827 -0.9552130 -0.9068064
temp + phosphate_star Atlantic (28.2, Inf] -0.9142295 -0.9574620 -0.8918947
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8939161 -0.9244586 -0.8535248
temp + phosphate_star Indo-Pacific (26,26.5] -0.8995574 -0.9517572 -0.8547991
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.7947555 -0.9272018 -0.5359559
temp + phosphate_star Indo-Pacific (26.75,27] -0.6935554 -0.9472637 -0.2589476
temp + phosphate_star Indo-Pacific (27,27.25] -0.7647536 -0.9563276 -0.4356489
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.7143811 -0.9452000 -0.3644743
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.6153378 -0.9541133 -0.1247980
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.5504244 -0.9529339 -0.0456950
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.7476996 -0.9142598 -0.4863783
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.8191123 -0.8738146 -0.7487063
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6874724 -0.7462336 -0.5943795
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.6830031 -0.6914967 -0.6784879
temp + silicate Atlantic (-Inf,26] -0.3801468 -0.7155865 0.0554046
temp + silicate Atlantic (26,26.5] 0.0477870 -0.0278430 0.0932751
temp + silicate Atlantic (26.5,26.75] 0.0455059 -0.4675322 0.4193906
temp + silicate Atlantic (26.75,27] 0.2222984 -0.1216800 0.4935410
temp + silicate Atlantic (27,27.25] -0.0320633 -0.4164632 0.3137010
temp + silicate Atlantic (27.25,27.5] 0.1495444 -0.0402811 0.3008470
temp + silicate Atlantic (27.5,27.75] 0.0562572 -0.0597012 0.2775858
temp + silicate Atlantic (27.75,27.85] -0.5279573 -0.5607683 -0.4910080
temp + silicate Atlantic (27.85,27.95] -0.6938931 -0.7167284 -0.6679008
temp + silicate Atlantic (27.95,28.05] -0.7634984 -0.8153072 -0.7031754
temp + silicate Atlantic (28.05,28.1] -0.8858037 -0.9115195 -0.8349837
temp + silicate Atlantic (28.1,28.15] -0.9097394 -0.9210196 -0.8905420
temp + silicate Atlantic (28.15,28.2] -0.8087219 -0.8414600 -0.7594542
temp + silicate Atlantic (28.2, Inf] -0.6945176 -0.7438067 -0.6419502
temp + silicate Indo-Pacific (-Inf,26] -0.6156046 -0.7436101 -0.4031566
temp + silicate Indo-Pacific (26,26.5] -0.6159744 -0.7053382 -0.5456638
temp + silicate Indo-Pacific (26.5,26.75] -0.5134056 -0.7295880 -0.2105315
temp + silicate Indo-Pacific (26.75,27] -0.5192442 -0.6956329 -0.1747020
temp + silicate Indo-Pacific (27,27.25] -0.6742634 -0.7745692 -0.4887414
temp + silicate Indo-Pacific (27.25,27.5] -0.5714641 -0.6990625 -0.4684848
temp + silicate Indo-Pacific (27.5,27.75] -0.1265664 -0.2638920 -0.0209843
temp + silicate Indo-Pacific (27.75,27.85] 0.4028905 0.3331335 0.4887330
temp + silicate Indo-Pacific (27.85,27.95] 0.5549625 0.4720445 0.6430792
temp + silicate Indo-Pacific (27.95,28.05] 0.6734887 0.5858896 0.7202839
temp + silicate Indo-Pacific (28.05,28.1] 0.7462220 0.6637374 0.8077844
temp + silicate Indo-Pacific (28.1, Inf] 0.7378195 0.6521356 0.8069986 
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
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] 0.3267182 -0.2188138 0.6529487
aou Atlantic (26,26.5] 0.0391401 -0.3570970 0.2651377
aou Atlantic (26.5,26.75] -0.4278941 -0.7414893 -0.2216885
aou Atlantic (26.75,27] -0.3826924 -0.4171283 -0.3261668
aou Atlantic (27,27.25] -0.4855826 -0.5837986 -0.4053103
aou Atlantic (27.25,27.5] -0.6895515 -0.7784008 -0.5922770
aou Atlantic (27.5,27.75] -0.6116782 -0.7870806 -0.5198025
aou Atlantic (27.75,27.85] -0.5243776 -0.6825704 -0.4016369
aou Atlantic (27.85,27.95] -0.6481926 -0.7555002 -0.5740839
aou Atlantic (27.95,28.05] -0.8065330 -0.8778855 -0.7321353
aou Atlantic (28.05,28.1] -0.9461791 -0.9579766 -0.9286553
aou Atlantic (28.1,28.15] -0.9577036 -0.9753552 -0.9355541
aou Atlantic (28.15,28.2] -0.9636075 -0.9740651 -0.9540186
aou Atlantic (28.2, Inf] -0.8353103 -0.8789471 -0.7581687
aou Indo-Pacific (-Inf,26] 0.2084013 0.0960904 0.3349329
aou Indo-Pacific (26,26.5] -0.3838451 -0.5026967 -0.2972625
aou Indo-Pacific (26.5,26.75] -0.6237991 -0.6854880 -0.5665755
aou Indo-Pacific (26.75,27] -0.7612628 -0.8014844 -0.6970158
aou Indo-Pacific (27,27.25] -0.6600954 -0.6924269 -0.6423132
aou Indo-Pacific (27.25,27.5] -0.5147366 -0.6538455 -0.3775379
aou Indo-Pacific (27.5,27.75] -0.0710569 -0.4014136 0.2866124
aou Indo-Pacific (27.75,27.85] 0.3549190 0.0565705 0.6536022
aou Indo-Pacific (27.85,27.95] 0.4242346 0.2197304 0.6843023
aou Indo-Pacific (27.95,28.05] 0.3967846 0.2390296 0.5708740
aou Indo-Pacific (28.05,28.1] 0.4356893 0.3226701 0.5035603
aou Indo-Pacific (28.1, Inf] 0.5779563 0.4200250 0.6665047
nitrate Atlantic (-Inf,26] 0.1712626 -0.6514329 0.8585978
nitrate Atlantic (26,26.5] -0.2451458 -0.6235612 -0.0144146
nitrate Atlantic (26.5,26.75] -0.5399953 -0.8000374 -0.3728586
nitrate Atlantic (26.75,27] -0.5025180 -0.5328913 -0.4563401
nitrate Atlantic (27,27.25] -0.6602975 -0.7373040 -0.6057167
nitrate Atlantic (27.25,27.5] -0.8691359 -0.9021710 -0.8219212
nitrate Atlantic (27.5,27.75] -0.9104965 -0.9474096 -0.8786066
nitrate Atlantic (27.75,27.85] -0.9573606 -0.9693235 -0.9443134
nitrate Atlantic (27.85,27.95] -0.9776947 -0.9846741 -0.9716594
nitrate Atlantic (27.95,28.05] -0.9596037 -0.9805892 -0.9485893
nitrate Atlantic (28.05,28.1] -0.9926322 -0.9939920 -0.9918193
nitrate Atlantic (28.1,28.15] -0.9909771 -0.9922408 -0.9903388
nitrate Atlantic (28.15,28.2] -0.9914282 -0.9923444 -0.9904985
nitrate Atlantic (28.2, Inf] -0.9714709 -0.9804472 -0.9578874
nitrate Indo-Pacific (-Inf,26] 0.2047763 0.1172583 0.3126703
nitrate Indo-Pacific (26,26.5] -0.4592663 -0.5833943 -0.3931770
nitrate Indo-Pacific (26.5,26.75] -0.6626352 -0.7139387 -0.6361327
nitrate Indo-Pacific (26.75,27] -0.7083404 -0.7471676 -0.6865172
nitrate Indo-Pacific (27,27.25] -0.6007651 -0.6395676 -0.5713461
nitrate Indo-Pacific (27.25,27.5] -0.4828445 -0.5784009 -0.3647918
nitrate Indo-Pacific (27.5,27.75] -0.0510798 -0.3036252 0.2450933
nitrate Indo-Pacific (27.75,27.85] 0.4766498 0.2945870 0.6768092
nitrate Indo-Pacific (27.85,27.95] 0.5480683 0.4479531 0.7222170
nitrate Indo-Pacific (27.95,28.05] 0.4441161 0.2735584 0.6265940
nitrate Indo-Pacific (28.05,28.1] 0.4876774 0.3608465 0.5578942
nitrate Indo-Pacific (28.1, Inf] 0.6032178 0.4738511 0.6693996
phosphate Atlantic (-Inf,26] 0.5046995 0.1312746 0.8526715
phosphate Atlantic (26,26.5] 0.1253198 -0.1140431 0.2649798
phosphate Atlantic (26.5,26.75] -0.5118763 -0.8327128 -0.3088474
phosphate Atlantic (26.75,27] -0.4856358 -0.5347133 -0.4012199
phosphate Atlantic (27,27.25] -0.6859639 -0.7103558 -0.6502507
phosphate Atlantic (27.25,27.5] -0.8575450 -0.8874610 -0.8275228
phosphate Atlantic (27.5,27.75] -0.9134643 -0.9402706 -0.8937650
phosphate Atlantic (27.75,27.85] -0.9661121 -0.9751226 -0.9569293
phosphate Atlantic (27.85,27.95] -0.9809323 -0.9860755 -0.9783485
phosphate Atlantic (27.95,28.05] -0.9631445 -0.9819877 -0.9534068
phosphate Atlantic (28.05,28.1] -0.9921124 -0.9933000 -0.9912614
phosphate Atlantic (28.1,28.15] -0.9905460 -0.9921171 -0.9894943
phosphate Atlantic (28.15,28.2] -0.9910200 -0.9922927 -0.9899368
phosphate Atlantic (28.2, Inf] -0.9797001 -0.9820960 -0.9777975
phosphate Indo-Pacific (-Inf,26] 0.1838691 0.0317921 0.3447961
phosphate Indo-Pacific (26,26.5] -0.4872138 -0.5669942 -0.3884996
phosphate Indo-Pacific (26.5,26.75] -0.7310463 -0.7530001 -0.6918754
phosphate Indo-Pacific (26.75,27] -0.8299646 -0.8335635 -0.8243591
phosphate Indo-Pacific (27,27.25] -0.7246883 -0.7698645 -0.6761653
phosphate Indo-Pacific (27.25,27.5] -0.5897807 -0.7227857 -0.4764348
phosphate Indo-Pacific (27.5,27.75] -0.0969248 -0.3975591 0.2235826
phosphate Indo-Pacific (27.75,27.85] 0.4241910 0.1756401 0.6799465
phosphate Indo-Pacific (27.85,27.95] 0.4853125 0.3039187 0.7151175
phosphate Indo-Pacific (27.95,28.05] 0.4350488 0.2741161 0.6022344
phosphate Indo-Pacific (28.05,28.1] 0.4689403 0.3578243 0.5340931
phosphate Indo-Pacific (28.1, Inf] 0.5710981 0.4149452 0.6527690
phosphate_star Atlantic (-Inf,26] 0.7568467 0.4380602 0.9292183
phosphate_star Atlantic (26,26.5] 0.2180714 0.1534390 0.3006215
phosphate_star Atlantic (26.5,26.75] -0.2430574 -0.8023285 0.0495677
phosphate_star Atlantic (26.75,27] -0.1592319 -0.3307945 0.0762599
phosphate_star Atlantic (27,27.25] -0.5082181 -0.6975791 -0.1300998
phosphate_star Atlantic (27.25,27.5] -0.4047738 -0.6066489 -0.2858016
phosphate_star Atlantic (27.5,27.75] -0.7044951 -0.7973404 -0.6044525
phosphate_star Atlantic (27.75,27.85] -0.9192154 -0.9301611 -0.9047317
phosphate_star Atlantic (27.85,27.95] -0.9231132 -0.9393884 -0.9087028
phosphate_star Atlantic (27.95,28.05] -0.9082130 -0.9309336 -0.8916279
phosphate_star Atlantic (28.05,28.1] -0.9643251 -0.9719195 -0.9563790
phosphate_star Atlantic (28.1,28.15] -0.9697736 -0.9793234 -0.9649646
phosphate_star Atlantic (28.15,28.2] -0.9822241 -0.9853395 -0.9783286
phosphate_star Atlantic (28.2, Inf] -0.9833800 -0.9921044 -0.9769524
phosphate_star Indo-Pacific (-Inf,26] 0.2425598 0.0837741 0.3864964
phosphate_star Indo-Pacific (26,26.5] -0.4381024 -0.6070240 -0.2855729
phosphate_star Indo-Pacific (26.5,26.75] -0.5912409 -0.6925398 -0.4448883
phosphate_star Indo-Pacific (26.75,27] -0.5794234 -0.6313490 -0.5182017
phosphate_star Indo-Pacific (27,27.25] -0.5408707 -0.6280468 -0.4491008
phosphate_star Indo-Pacific (27.25,27.5] -0.5261224 -0.5607814 -0.4981800
phosphate_star Indo-Pacific (27.5,27.75] -0.1603902 -0.3179432 -0.0657020
phosphate_star Indo-Pacific (27.75,27.85] 0.3583503 0.0089294 0.6576184
phosphate_star Indo-Pacific (27.85,27.95] 0.2888350 0.1572241 0.3601755
phosphate_star Indo-Pacific (27.95,28.05] 0.3654426 0.2511501 0.4885906
phosphate_star Indo-Pacific (28.05,28.1] 0.3660134 0.2900153 0.4895555
phosphate_star Indo-Pacific (28.1, Inf] -0.2112384 -0.3281447 -0.0929901
sal Atlantic (-Inf,26] -0.1344736 -0.7935219 0.3664521
sal Atlantic (26,26.5] -0.0978542 -0.3472033 0.1405877
sal Atlantic (26.5,26.75] -0.2058360 -0.6537775 0.5735288
sal Atlantic (26.75,27] -0.5767964 -0.7371203 -0.3350639
sal Atlantic (27,27.25] -0.2123665 -0.6744699 0.2176961
sal Atlantic (27.25,27.5] -0.4410122 -0.6251766 -0.1734900
sal Atlantic (27.5,27.75] -0.3801363 -0.6334541 -0.1862624
sal Atlantic (27.75,27.85] 0.2078032 0.0896420 0.2776892
sal Atlantic (27.85,27.95] 0.3936128 0.3131392 0.4478380
sal Atlantic (27.95,28.05] 0.4491981 0.3044537 0.5941432
sal Atlantic (28.05,28.1] 0.8512266 0.8079432 0.8917991
sal Atlantic (28.1,28.15] 0.9109516 0.8930419 0.9277645
sal Atlantic (28.15,28.2] 0.9003861 0.8682598 0.9164532
sal Atlantic (28.2, Inf] 0.8680071 0.8088916 0.9113823
sal Indo-Pacific (-Inf,26] 0.0431285 -0.2136022 0.3764937
sal Indo-Pacific (26,26.5] 0.2217510 0.0098110 0.3613990
sal Indo-Pacific (26.5,26.75] 0.1989093 -0.3057566 0.4642617
sal Indo-Pacific (26.75,27] 0.0517630 -0.4388380 0.3033765
sal Indo-Pacific (27,27.25] 0.1077143 -0.1540382 0.2720507
sal Indo-Pacific (27.25,27.5] 0.0617388 -0.0748441 0.1599207
sal Indo-Pacific (27.5,27.75] -0.1675826 -0.3304195 0.0171655
sal Indo-Pacific (27.75,27.85] 0.2343506 0.0589458 0.5381220
sal Indo-Pacific (27.85,27.95] 0.2851071 0.0814035 0.6691111
sal Indo-Pacific (27.95,28.05] -0.0564042 -0.1458810 0.0524850
sal Indo-Pacific (28.05,28.1] 0.0699664 0.0038524 0.1649757
sal Indo-Pacific (28.1, Inf] 0.2285792 0.1443704 0.2797760
silicate Atlantic (-Inf,26] -0.0904643 -0.4586413 0.2900454
silicate Atlantic (26,26.5] -0.5322529 -0.7648266 -0.4031018
silicate Atlantic (26.5,26.75] -0.4638295 -0.5704697 -0.3860349
silicate Atlantic (26.75,27] -0.6449337 -0.7038353 -0.5803177
silicate Atlantic (27,27.25] -0.8588734 -0.8855751 -0.8373076
silicate Atlantic (27.25,27.5] -0.9043994 -0.9218492 -0.8913365
silicate Atlantic (27.5,27.75] -0.9085990 -0.9312811 -0.8942874
silicate Atlantic (27.75,27.85] -0.9432244 -0.9451469 -0.9395199
silicate Atlantic (27.85,27.95] -0.9274911 -0.9332439 -0.9226156
silicate Atlantic (27.95,28.05] -0.8842821 -0.9030247 -0.8568395
silicate Atlantic (28.05,28.1] -0.9436917 -0.9636449 -0.9262278
silicate Atlantic (28.1,28.15] -0.9583200 -0.9723183 -0.9444892
silicate Atlantic (28.15,28.2] -0.9512009 -0.9606373 -0.9435805
silicate Atlantic (28.2, Inf] -0.8644996 -0.8818521 -0.8321558
silicate Indo-Pacific (-Inf,26] 0.0885147 -0.2161420 0.2970023
silicate Indo-Pacific (26,26.5] -0.5881245 -0.6196857 -0.5469529
silicate Indo-Pacific (26.5,26.75] -0.7338761 -0.7500434 -0.7057267
silicate Indo-Pacific (26.75,27] -0.7072107 -0.7184153 -0.6952675
silicate Indo-Pacific (27,27.25] -0.5885687 -0.6453720 -0.5066641
silicate Indo-Pacific (27.25,27.5] -0.4531555 -0.5871910 -0.3212877
silicate Indo-Pacific (27.5,27.75] -0.0002753 -0.2764718 0.3095243
silicate Indo-Pacific (27.75,27.85] 0.5000877 0.2850814 0.7355971
silicate Indo-Pacific (27.85,27.95] 0.5396492 0.3718099 0.7673844
silicate Indo-Pacific (27.95,28.05] 0.4706295 0.3022979 0.6582022
silicate Indo-Pacific (28.05,28.1] 0.5011363 0.3736892 0.5674330
silicate Indo-Pacific (28.1, Inf] 0.5514819 0.4147229 0.6403080
temp Atlantic (-Inf,26] -0.7446440 -0.9492517 -0.4112198
temp Atlantic (26,26.5] -0.2665893 -0.4801125 -0.0502830
temp Atlantic (26.5,26.75] -0.2148381 -0.6552285 0.5547003
temp Atlantic (26.75,27] -0.5527017 -0.7197844 -0.2999377
temp Atlantic (27,27.25] -0.1980559 -0.6848253 0.2494935
temp Atlantic (27.25,27.5] -0.4734800 -0.6489752 -0.2230848
temp Atlantic (27.5,27.75] -0.3738400 -0.6241449 -0.1962379
temp Atlantic (27.75,27.85] 0.3050870 0.2301351 0.3609438
temp Atlantic (27.85,27.95] 0.4531662 0.4019292 0.4950048
temp Atlantic (27.95,28.05] 0.4705219 0.3330185 0.5941429
temp Atlantic (28.05,28.1] 0.7656040 0.6554687 0.8429892
temp Atlantic (28.1,28.15] 0.8354659 0.7776379 0.8723053
temp Atlantic (28.15,28.2] 0.8712689 0.8327485 0.8928583
temp Atlantic (28.2, Inf] 0.8549188 0.8077934 0.9361938
temp Indo-Pacific (-Inf,26] -0.5042854 -0.5566909 -0.4565814
temp Indo-Pacific (26,26.5] 0.1425907 -0.0793158 0.2941651
temp Indo-Pacific (26.5,26.75] 0.1410937 -0.3882829 0.4277174
temp Indo-Pacific (26.75,27] -0.0019157 -0.4945840 0.2600840
temp Indo-Pacific (27,27.25] 0.0938392 -0.1720103 0.2549791
temp Indo-Pacific (27.25,27.5] 0.1738517 0.0303134 0.2713743
temp Indo-Pacific (27.5,27.75] 0.0598493 -0.0255513 0.2053713
temp Indo-Pacific (27.75,27.85] 0.1973081 0.0529589 0.4664066
temp Indo-Pacific (27.85,27.95] 0.1857555 -0.0097910 0.5233023
temp Indo-Pacific (27.95,28.05] -0.1328548 -0.2445265 -0.0027116
temp Indo-Pacific (28.05,28.1] -0.0515604 -0.1227663 0.0367972
temp Indo-Pacific (28.1, Inf] 0.3692213 0.1830508 0.4864787 
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