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1 Required data

Required are:

  • cleaned and prepared GLODAPv2.2020 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 coeffcients.

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
4d612dd jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11

Version Author Date
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
4d612dd jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11

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

/nfs/kryo/work/jenmueller/emlr_cant/observations/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 assesment

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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30 
# 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] 0.9121321 0.9058811 0.9183831
aou + nitrate Atlantic (26,26.5] 0.8834687 0.8613429 0.9055945
aou + nitrate Atlantic (26.5,26.75] 0.9539878 0.9371368 0.9708389
aou + nitrate Atlantic (26.75,27] 0.9257689 0.9167715 0.9347664
aou + nitrate Atlantic (27,27.25] 0.8907475 0.8598006 0.9216944
aou + nitrate Atlantic (27.25,27.5] 0.7947786 0.7479486 0.8416086
aou + nitrate Atlantic (27.5,27.75] 0.8683505 0.8490070 0.8876940
aou + nitrate Atlantic (27.75,27.85] 0.9352681 0.9256988 0.9448375
aou + nitrate Atlantic (27.85,27.95] 0.9464948 0.9335731 0.9594164
aou + nitrate Atlantic (27.95,28.05] 0.9491488 0.9417957 0.9565019
aou + nitrate Atlantic (28.05,28.1] 0.9640475 0.9477590 0.9803361
aou + nitrate Atlantic (28.1,28.15] 0.9753812 0.9615082 0.9892542
aou + nitrate Atlantic (28.15,28.2] 0.9785004 0.9627336 0.9942672
aou + nitrate Atlantic (28.2, Inf] 0.8732419 0.8554071 0.8910767
aou + nitrate Indo-Pacific (-Inf,26] 0.9291044 0.8900168 0.9681920
aou + nitrate Indo-Pacific (26,26.5] 0.9180025 0.9036779 0.9323271
aou + nitrate Indo-Pacific (26.5,26.75] 0.9314492 0.9225459 0.9403525
aou + nitrate Indo-Pacific (26.75,27] 0.9406910 0.9370427 0.9443393
aou + nitrate Indo-Pacific (27,27.25] 0.9467990 0.9298283 0.9637697
aou + nitrate Indo-Pacific (27.25,27.5] 0.9354868 0.8996122 0.9713615
aou + nitrate Indo-Pacific (27.5,27.75] 0.9307834 0.8919040 0.9696627
aou + nitrate Indo-Pacific (27.75,27.85] 0.9545126 0.9301039 0.9789212
aou + nitrate Indo-Pacific (27.85,27.95] 0.9603606 0.9467437 0.9739775
aou + nitrate Indo-Pacific (27.95,28.05] 0.9483101 0.9398908 0.9567293
aou + nitrate Indo-Pacific (28.05,28.1] 0.9353992 0.9317635 0.9390349
aou + nitrate Indo-Pacific (28.1, Inf] 0.7291701 0.7085667 0.7497734
aou + phosphate Atlantic (-Inf,26] 0.6874895 0.6314926 0.7434863
aou + phosphate Atlantic (26,26.5] 0.7109084 0.6632549 0.7585618
aou + phosphate Atlantic (26.5,26.75] 0.8813409 0.8429261 0.9197556
aou + phosphate Atlantic (26.75,27] 0.8579987 0.8468277 0.8691697
aou + phosphate Atlantic (27,27.25] 0.8461532 0.8131256 0.8791808
aou + phosphate Atlantic (27.25,27.5] 0.7463510 0.6998161 0.7928859
aou + phosphate Atlantic (27.5,27.75] 0.8411399 0.8228668 0.8594130
aou + phosphate Atlantic (27.75,27.85] 0.9185102 0.9069000 0.9301204
aou + phosphate Atlantic (27.85,27.95] 0.9374702 0.9256181 0.9493222
aou + phosphate Atlantic (27.95,28.05] 0.9434161 0.9356874 0.9511448
aou + phosphate Atlantic (28.05,28.1] 0.9573516 0.9404542 0.9742489
aou + phosphate Atlantic (28.1,28.15] 0.9695748 0.9566616 0.9824880
aou + phosphate Atlantic (28.15,28.2] 0.9776625 0.9622307 0.9930943
aou + phosphate Atlantic (28.2, Inf] 0.8724795 0.8523963 0.8925627
aou + phosphate Indo-Pacific (-Inf,26] 0.9367899 0.9043755 0.9692043
aou + phosphate Indo-Pacific (26,26.5] 0.9631748 0.9522698 0.9740799
aou + phosphate Indo-Pacific (26.5,26.75] 0.9647026 0.9538151 0.9755901
aou + phosphate Indo-Pacific (26.75,27] 0.9546460 0.9503331 0.9589588
aou + phosphate Indo-Pacific (27,27.25] 0.9644687 0.9608195 0.9681179
aou + phosphate Indo-Pacific (27.25,27.5] 0.9675808 0.9566169 0.9785446
aou + phosphate Indo-Pacific (27.5,27.75] 0.9676353 0.9555699 0.9797007
aou + phosphate Indo-Pacific (27.75,27.85] 0.9739752 0.9646066 0.9833439
aou + phosphate Indo-Pacific (27.85,27.95] 0.9695666 0.9616399 0.9774932
aou + phosphate Indo-Pacific (27.95,28.05] 0.9552733 0.9466835 0.9638631
aou + phosphate Indo-Pacific (28.05,28.1] 0.9389285 0.9327444 0.9451127
aou + phosphate Indo-Pacific (28.1, Inf] 0.7292674 0.6886771 0.7698577
aou + phosphate_star Atlantic (-Inf,26] -0.0192291 -0.3746778 0.3362197
aou + phosphate_star Atlantic (26,26.5] 0.2784429 0.1814577 0.3754281
aou + phosphate_star Atlantic (26.5,26.75] 0.4866495 0.3750519 0.5982470
aou + phosphate_star Atlantic (26.75,27] 0.2511655 0.2134988 0.2888321
aou + phosphate_star Atlantic (27,27.25] 0.3828856 0.3143958 0.4513754
aou + phosphate_star Atlantic (27.25,27.5] 0.2909509 0.2455991 0.3363028
aou + phosphate_star Atlantic (27.5,27.75] 0.5486095 0.5190771 0.5781419
aou + phosphate_star Atlantic (27.75,27.85] 0.6668065 0.6171337 0.7164793
aou + phosphate_star Atlantic (27.85,27.95] 0.6488639 0.6271051 0.6706227
aou + phosphate_star Atlantic (27.95,28.05] 0.7449822 0.7395611 0.7504034
aou + phosphate_star Atlantic (28.05,28.1] 0.8465901 0.7944484 0.8987319
aou + phosphate_star Atlantic (28.1,28.15] 0.8866431 0.8437546 0.9295315
aou + phosphate_star Atlantic (28.15,28.2] 0.9175651 0.8580071 0.9771231
aou + phosphate_star Atlantic (28.2, Inf] 0.6462271 0.6072059 0.6852483
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6494865 0.5252778 0.7736951
aou + phosphate_star Indo-Pacific (26,26.5] 0.6713691 0.6408244 0.7019138
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.6130628 0.6017365 0.6243891
aou + phosphate_star Indo-Pacific (26.75,27] 0.4063598 0.3215588 0.4911608
aou + phosphate_star Indo-Pacific (27,27.25] -0.0135204 -0.1392108 0.1121699
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.4509959 -0.4836020 -0.4183899
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.5872849 -0.6012870 -0.5732829
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.4392925 -0.4768734 -0.4017115
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.1311406 -0.1617050 -0.1005761
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.1820073 0.1782812 0.1857334
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.2361309 0.2142217 0.2580401
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.7066308 -0.7184499 -0.6948118
aou + silicate Atlantic (-Inf,26] 0.3968528 0.2182748 0.5754309
aou + silicate Atlantic (26,26.5] 0.6358674 0.5832889 0.6884459
aou + silicate Atlantic (26.5,26.75] 0.8202864 0.7191074 0.9214654
aou + silicate Atlantic (26.75,27] 0.8418314 0.8051094 0.8785533
aou + silicate Atlantic (27,27.25] 0.8256140 0.7811899 0.8700380
aou + silicate Atlantic (27.25,27.5] 0.6027217 0.5183377 0.6871058
aou + silicate Atlantic (27.5,27.75] 0.6730532 0.6696930 0.6764133
aou + silicate Atlantic (27.75,27.85] 0.8315402 0.8217868 0.8412937
aou + silicate Atlantic (27.85,27.95] 0.8761276 0.8645105 0.8877447
aou + silicate Atlantic (27.95,28.05] 0.9304299 0.9229999 0.9378600
aou + silicate Atlantic (28.05,28.1] 0.9593523 0.9513509 0.9673537
aou + silicate Atlantic (28.1,28.15] 0.9742662 0.9678619 0.9806706
aou + silicate Atlantic (28.15,28.2] 0.9853749 0.9775817 0.9931680
aou + silicate Atlantic (28.2, Inf] 0.8732710 0.8643218 0.8822202
aou + silicate Indo-Pacific (-Inf,26] 0.7556226 0.6806252 0.8306200
aou + silicate Indo-Pacific (26,26.5] 0.7472344 0.6977890 0.7966799
aou + silicate Indo-Pacific (26.5,26.75] 0.7488306 0.7101355 0.7875257
aou + silicate Indo-Pacific (26.75,27] 0.7947932 0.7914354 0.7981509
aou + silicate Indo-Pacific (27,27.25] 0.8804933 0.8537519 0.9072348
aou + silicate Indo-Pacific (27.25,27.5] 0.9022746 0.8685878 0.9359614
aou + silicate Indo-Pacific (27.5,27.75] 0.9093566 0.8667791 0.9519341
aou + silicate Indo-Pacific (27.75,27.85] 0.9580701 0.9418920 0.9742482
aou + silicate Indo-Pacific (27.85,27.95] 0.9532217 0.9408851 0.9655584
aou + silicate Indo-Pacific (27.95,28.05] 0.9431953 0.9381930 0.9481977
aou + silicate Indo-Pacific (28.05,28.1] 0.9464565 0.9444348 0.9484781
aou + silicate Indo-Pacific (28.1, Inf] 0.6794361 0.6304501 0.7284222
nitrate + phosphate Atlantic (-Inf,26] 0.7854683 0.7528712 0.8180653
nitrate + phosphate Atlantic (26,26.5] 0.9098267 0.9059071 0.9137463
nitrate + phosphate Atlantic (26.5,26.75] 0.9743462 0.9686788 0.9800135
nitrate + phosphate Atlantic (26.75,27] 0.9824208 0.9817675 0.9830742
nitrate + phosphate Atlantic (27,27.25] 0.9908223 0.9898030 0.9918415
nitrate + phosphate Atlantic (27.25,27.5] 0.9921728 0.9913195 0.9930261
nitrate + phosphate Atlantic (27.5,27.75] 0.9922348 0.9908668 0.9936028
nitrate + phosphate Atlantic (27.75,27.85] 0.9933685 0.9927074 0.9940297
nitrate + phosphate Atlantic (27.85,27.95] 0.9897564 0.9881557 0.9913572
nitrate + phosphate Atlantic (27.95,28.05] 0.9896209 0.9889722 0.9902696
nitrate + phosphate Atlantic (28.05,28.1] 0.9910613 0.9901304 0.9919921
nitrate + phosphate Atlantic (28.1,28.15] 0.9957723 0.9947596 0.9967850
nitrate + phosphate Atlantic (28.15,28.2] 0.9963105 0.9960483 0.9965726
nitrate + phosphate Atlantic (28.2, Inf] 0.9923186 0.9899649 0.9946722
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9662152 0.9543975 0.9780329
nitrate + phosphate Indo-Pacific (26,26.5] 0.9536441 0.9487834 0.9585048
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.9623209 0.9569904 0.9676514
nitrate + phosphate Indo-Pacific (26.75,27] 0.9818324 0.9754468 0.9882180
nitrate + phosphate Indo-Pacific (27,27.25] 0.9816554 0.9723075 0.9910033
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9796084 0.9673503 0.9918665
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9720960 0.9536224 0.9905695
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9710968 0.9520409 0.9901527
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9752305 0.9611023 0.9893587
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9749832 0.9683669 0.9815994
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9727035 0.9648559 0.9805510
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9116522 0.8702959 0.9530086
nitrate + phosphate_star Atlantic (-Inf,26] 0.1570872 -0.0767210 0.3908953
nitrate + phosphate_star Atlantic (26,26.5] 0.6307700 0.6044723 0.6570677
nitrate + phosphate_star Atlantic (26.5,26.75] 0.7083982 0.6572420 0.7595545
nitrate + phosphate_star Atlantic (26.75,27] 0.5871521 0.5753840 0.5989202
nitrate + phosphate_star Atlantic (27,27.25] 0.7511585 0.7451829 0.7571342
nitrate + phosphate_star Atlantic (27.25,27.5] 0.8018070 0.7850380 0.8185760
nitrate + phosphate_star Atlantic (27.5,27.75] 0.8777025 0.8765098 0.8788952
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8763411 0.8575022 0.8951800
nitrate + phosphate_star Atlantic (27.85,27.95] 0.8400132 0.8362206 0.8438058
nitrate + phosphate_star Atlantic (27.95,28.05] 0.8959945 0.8796674 0.9123216
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9423537 0.9344417 0.9502656
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9590414 0.9530004 0.9650823
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9727384 0.9583257 0.9871510
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9224121 0.9220348 0.9227895
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.8361875 0.8048000 0.8675749
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.8208701 0.8015742 0.8401661
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.7741119 0.7473042 0.8009195
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.6445863 0.5685136 0.7206589
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.2537189 0.1672545 0.3401834
nitrate + phosphate_star Indo-Pacific (27.25,27.5] -0.1603776 -0.2234692 -0.0972861
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.3052191 -0.3850402 -0.2253979
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.2249562 -0.2414607 -0.2084517
nitrate + phosphate_star Indo-Pacific (27.85,27.95] 0.0741984 0.0631759 0.0852209
nitrate + phosphate_star Indo-Pacific (27.95,28.05] 0.4163941 0.3972630 0.4355253
nitrate + phosphate_star Indo-Pacific (28.05,28.1] 0.5001727 0.4903305 0.5100149
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.1069250 -0.1255536 -0.0882964
nitrate + silicate Atlantic (-Inf,26] 0.5479161 0.4291047 0.6667275
nitrate + silicate Atlantic (26,26.5] 0.8239914 0.8099049 0.8380778
nitrate + silicate Atlantic (26.5,26.75] 0.9059468 0.8452435 0.9666501
nitrate + silicate Atlantic (26.75,27] 0.9258415 0.8909591 0.9607239
nitrate + silicate Atlantic (27,27.25] 0.9512998 0.9392942 0.9633053
nitrate + silicate Atlantic (27.25,27.5] 0.9061327 0.8959322 0.9163333
nitrate + silicate Atlantic (27.5,27.75] 0.8960408 0.8839747 0.9081069
nitrate + silicate Atlantic (27.75,27.85] 0.9487413 0.9352588 0.9622238
nitrate + silicate Atlantic (27.85,27.95] 0.9677212 0.9639010 0.9715413
nitrate + silicate Atlantic (27.95,28.05] 0.9804809 0.9780069 0.9829548
nitrate + silicate Atlantic (28.05,28.1] 0.9881854 0.9869732 0.9893976
nitrate + silicate Atlantic (28.1,28.15] 0.9919286 0.9912681 0.9925891
nitrate + silicate Atlantic (28.15,28.2] 0.9914883 0.9874094 0.9955672
nitrate + silicate Atlantic (28.2, Inf] 0.9811013 0.9761992 0.9860034
nitrate + silicate Indo-Pacific (-Inf,26] 0.8769439 0.8635500 0.8903377
nitrate + silicate Indo-Pacific (26,26.5] 0.8556933 0.8374749 0.8739118
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8557478 0.8463964 0.8650991
nitrate + silicate Indo-Pacific (26.75,27] 0.8639294 0.8637624 0.8640965
nitrate + silicate Indo-Pacific (27,27.25] 0.8951223 0.8690953 0.9211494
nitrate + silicate Indo-Pacific (27.25,27.5] 0.8728923 0.8289117 0.9168729
nitrate + silicate Indo-Pacific (27.5,27.75] 0.8667110 0.8165916 0.9168304
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9296796 0.9031120 0.9562471
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9458594 0.9299749 0.9617439
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9438147 0.9397848 0.9478446
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9495239 0.9486574 0.9503904
nitrate + silicate Indo-Pacific (28.1, Inf] 0.7712375 0.7451942 0.7972808
phosphate + phosphate_star Atlantic (-Inf,26] 0.6685275 0.4674959 0.8695592
phosphate + phosphate_star Atlantic (26,26.5] 0.8702849 0.8543866 0.8861832
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8386013 0.8130391 0.8641636
phosphate + phosphate_star Atlantic (26.75,27] 0.7117344 0.6997563 0.7237126
phosphate + phosphate_star Atlantic (27,27.25] 0.8145956 0.8075387 0.8216525
phosphate + phosphate_star Atlantic (27.25,27.5] 0.8514655 0.8394553 0.8634757
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9108169 0.9098403 0.9117936
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9052030 0.8891980 0.9212081
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8706167 0.8681506 0.8730828
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9208747 0.9082916 0.9334577
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9628410 0.9526379 0.9730441
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9720574 0.9629529 0.9811619
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9798618 0.9650232 0.9947004
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9348959 0.9318959 0.9378959
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8555150 0.8191963 0.8918337
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.8422165 0.8421293 0.8423037
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.7951834 0.7782907 0.8120761
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6551897 0.5742876 0.7360918
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.2445887 0.1351827 0.3539948
phosphate + phosphate_star Indo-Pacific (27.25,27.5] -0.2242734 -0.2309483 -0.2175986
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.3842521 -0.4102060 -0.3582982
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.2422580 -0.2471714 -0.2373446
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.1027504 0.1017896 0.1037112
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.4572565 0.4291584 0.4853545
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.5514581 0.5188715 0.5840448
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.0376662 -0.0792049 0.0038724
sal + aou Atlantic (-Inf,26] -0.0273647 -0.3310034 0.2762740
sal + aou Atlantic (26,26.5] -0.1545617 -0.2192144 -0.0899090
sal + aou Atlantic (26.5,26.75] -0.3778697 -0.4740326 -0.2817067
sal + aou Atlantic (26.75,27] -0.2025435 -0.2404179 -0.1646692
sal + aou Atlantic (27,27.25] -0.4030701 -0.4767786 -0.3293616
sal + aou Atlantic (27.25,27.5] -0.2784573 -0.3325232 -0.2243914
sal + aou Atlantic (27.5,27.75] -0.4057224 -0.4588916 -0.3525532
sal + aou Atlantic (27.75,27.85] -0.3806649 -0.4278958 -0.3334340
sal + aou Atlantic (27.85,27.95] -0.2681522 -0.2859542 -0.2503503
sal + aou Atlantic (27.95,28.05] -0.4196246 -0.5599067 -0.2793424
sal + aou Atlantic (28.05,28.1] -0.7028382 -0.7594325 -0.6462438
sal + aou Atlantic (28.1,28.15] -0.7979105 -0.8597574 -0.7360636
sal + aou Atlantic (28.15,28.2] -0.8628523 -0.9573584 -0.7683462
sal + aou Atlantic (28.2, Inf] -0.6713232 -0.7245781 -0.6180684
sal + aou Indo-Pacific (-Inf,26] -0.1363730 -0.2201952 -0.0525508
sal + aou Indo-Pacific (26,26.5] -0.1925859 -0.2665541 -0.1186178
sal + aou Indo-Pacific (26.5,26.75] -0.2545718 -0.3985707 -0.1105729
sal + aou Indo-Pacific (26.75,27] -0.1454907 -0.3622840 0.0713025
sal + aou Indo-Pacific (27,27.25] 0.0936503 -0.1390758 0.3263764
sal + aou Indo-Pacific (27.25,27.5] 0.2618940 0.1099281 0.4138599
sal + aou Indo-Pacific (27.5,27.75] 0.2009283 0.0033415 0.3985151
sal + aou Indo-Pacific (27.75,27.85] 0.0091703 -0.2695887 0.2879293
sal + aou Indo-Pacific (27.85,27.95] -0.1062081 -0.3269496 0.1145333
sal + aou Indo-Pacific (27.95,28.05] -0.2199935 -0.3511531 -0.0888339
sal + aou Indo-Pacific (28.05,28.1] -0.1904004 -0.2275282 -0.1532726
sal + aou Indo-Pacific (28.1, Inf] 0.5159910 0.5108960 0.5210860
sal + nitrate Atlantic (-Inf,26] -0.1345289 -0.3308324 0.0617746
sal + nitrate Atlantic (26,26.5] -0.4824561 -0.4951784 -0.4697338
sal + nitrate Atlantic (26.5,26.75] -0.6021929 -0.6476238 -0.5567619
sal + nitrate Atlantic (26.75,27] -0.5318258 -0.5443529 -0.5192986
sal + nitrate Atlantic (27,27.25] -0.7560511 -0.7691817 -0.7429205
sal + nitrate Atlantic (27.25,27.5] -0.7754400 -0.7879577 -0.7629223
sal + nitrate Atlantic (27.5,27.75] -0.7409141 -0.7637106 -0.7181176
sal + nitrate Atlantic (27.75,27.85] -0.6275561 -0.6491623 -0.6059499
sal + nitrate Atlantic (27.85,27.95] -0.5143829 -0.5498938 -0.4788720
sal + nitrate Atlantic (27.95,28.05] -0.6288991 -0.7631874 -0.4946108
sal + nitrate Atlantic (28.05,28.1] -0.8264714 -0.8292067 -0.8237360
sal + nitrate Atlantic (28.1,28.15] -0.8857478 -0.8990481 -0.8724475
sal + nitrate Atlantic (28.15,28.2] -0.9244417 -0.9563015 -0.8925820
sal + nitrate Atlantic (28.2, Inf] -0.9275702 -0.9390691 -0.9160714
sal + nitrate Indo-Pacific (-Inf,26] -0.3699203 -0.3723919 -0.3674487
sal + nitrate Indo-Pacific (26,26.5] -0.4583533 -0.5710061 -0.3457005
sal + nitrate Indo-Pacific (26.5,26.75] -0.4982666 -0.6593410 -0.3371922
sal + nitrate Indo-Pacific (26.75,27] -0.4032786 -0.5931825 -0.2133746
sal + nitrate Indo-Pacific (27,27.25] -0.1394966 -0.3139567 0.0349636
sal + nitrate Indo-Pacific (27.25,27.5] 0.0308684 -0.0018413 0.0635781
sal + nitrate Indo-Pacific (27.5,27.75] -0.0333221 -0.1070333 0.0403891
sal + nitrate Indo-Pacific (27.75,27.85] -0.1807954 -0.3719770 0.0103862
sal + nitrate Indo-Pacific (27.85,27.95] -0.2878561 -0.4611810 -0.1145313
sal + nitrate Indo-Pacific (27.95,28.05] -0.4442646 -0.5394771 -0.3490521
sal + nitrate Indo-Pacific (28.05,28.1] -0.4625602 -0.5003024 -0.4248180
sal + nitrate Indo-Pacific (28.1, Inf] 0.0084805 -0.0437491 0.0607102
sal + phosphate Atlantic (-Inf,26] -0.5967122 -0.7613570 -0.4320673
sal + phosphate Atlantic (26,26.5] -0.7711622 -0.7721372 -0.7701872
sal + phosphate Atlantic (26.5,26.75] -0.7507854 -0.7717190 -0.7298518
sal + phosphate Atlantic (26.75,27] -0.6629246 -0.6753210 -0.6505282
sal + phosphate Atlantic (27,27.25] -0.8157925 -0.8292611 -0.8023240
sal + phosphate Atlantic (27.25,27.5] -0.8223907 -0.8290860 -0.8156955
sal + phosphate Atlantic (27.5,27.75] -0.7805130 -0.7999918 -0.7610342
sal + phosphate Atlantic (27.75,27.85] -0.6634554 -0.6857360 -0.6411747
sal + phosphate Atlantic (27.85,27.95] -0.5330509 -0.5626935 -0.5034083
sal + phosphate Atlantic (27.95,28.05] -0.6380232 -0.7723776 -0.5036688
sal + phosphate Atlantic (28.05,28.1] -0.8367041 -0.8375232 -0.8358851
sal + phosphate Atlantic (28.1,28.15] -0.8970354 -0.9117123 -0.8823584
sal + phosphate Atlantic (28.15,28.2] -0.9262325 -0.9541532 -0.8983118
sal + phosphate Atlantic (28.2, Inf] -0.9311289 -0.9406011 -0.9216567
sal + phosphate Indo-Pacific (-Inf,26] -0.2398702 -0.2795134 -0.2002269
sal + phosphate Indo-Pacific (26,26.5] -0.3939643 -0.5005544 -0.2873741
sal + phosphate Indo-Pacific (26.5,26.75] -0.4511933 -0.6202572 -0.2821294
sal + phosphate Indo-Pacific (26.75,27] -0.3839184 -0.5996145 -0.1682223
sal + phosphate Indo-Pacific (27,27.25] -0.1011072 -0.3221670 0.1199526
sal + phosphate Indo-Pacific (27.25,27.5] 0.1214991 0.0168252 0.2261730
sal + phosphate Indo-Pacific (27.5,27.75] 0.0986837 -0.0553708 0.2527382
sal + phosphate Indo-Pacific (27.75,27.85] -0.0524284 -0.3107682 0.2059115
sal + phosphate Indo-Pacific (27.85,27.95] -0.2048051 -0.4241373 0.0145271
sal + phosphate Indo-Pacific (27.95,28.05] -0.4019257 -0.5241962 -0.2796553
sal + phosphate Indo-Pacific (28.05,28.1] -0.4379240 -0.4805415 -0.3953065
sal + phosphate Indo-Pacific (28.1, Inf] 0.0088716 -0.0114952 0.0292385
sal + phosphate_star Atlantic (-Inf,26] -0.9024210 -0.9083464 -0.8964955
sal + phosphate_star Atlantic (26,26.5] -0.9605844 -0.9618802 -0.9592886
sal + phosphate_star Atlantic (26.5,26.75] -0.9730981 -0.9754285 -0.9707677
sal + phosphate_star Atlantic (26.75,27] -0.9793530 -0.9801606 -0.9785454
sal + phosphate_star Atlantic (27,27.25] -0.9835877 -0.9857145 -0.9814609
sal + phosphate_star Atlantic (27.25,27.5] -0.9733663 -0.9733968 -0.9733358
sal + phosphate_star Atlantic (27.5,27.75] -0.9286651 -0.9357622 -0.9215680
sal + phosphate_star Atlantic (27.75,27.85] -0.8756845 -0.8786094 -0.8727595
sal + phosphate_star Atlantic (27.85,27.95] -0.8249149 -0.8284160 -0.8214138
sal + phosphate_star Atlantic (27.95,28.05] -0.8364610 -0.9070830 -0.7658391
sal + phosphate_star Atlantic (28.05,28.1] -0.9179736 -0.9360682 -0.8998791
sal + phosphate_star Atlantic (28.1,28.15] -0.9539021 -0.9592219 -0.9485822
sal + phosphate_star Atlantic (28.15,28.2] -0.9599730 -0.9665118 -0.9534342
sal + phosphate_star Atlantic (28.2, Inf] -0.9767995 -0.9779269 -0.9756720
sal + phosphate_star Indo-Pacific (-Inf,26] -0.5188419 -0.5276705 -0.5100133
sal + phosphate_star Indo-Pacific (26,26.5] -0.7593862 -0.8304205 -0.6883520
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8334373 -0.9134678 -0.7534068
sal + phosphate_star Indo-Pacific (26.75,27] -0.8758828 -0.9268311 -0.8249346
sal + phosphate_star Indo-Pacific (27,27.25] -0.8420912 -0.8445825 -0.8395999
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.7349593 -0.8396306 -0.6302880
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.6019580 -0.7756000 -0.4283159
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.4907853 -0.6494389 -0.3321318
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.5943735 -0.5998747 -0.5888723
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7685803 -0.8116590 -0.7255015
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8460052 -0.8893198 -0.8026907
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.7657430 -0.8264981 -0.7049880
sal + silicate Atlantic (-Inf,26] -0.7059441 -0.7385997 -0.6732885
sal + silicate Atlantic (26,26.5] -0.7019820 -0.7116736 -0.6922904
sal + silicate Atlantic (26.5,26.75] -0.6815397 -0.7017144 -0.6613649
sal + silicate Atlantic (26.75,27] -0.5515845 -0.5781892 -0.5249798
sal + silicate Atlantic (27,27.25] -0.7649496 -0.7724745 -0.7574247
sal + silicate Atlantic (27.25,27.5] -0.8088031 -0.8292240 -0.7883822
sal + silicate Atlantic (27.5,27.75] -0.7364019 -0.7573221 -0.7154817
sal + silicate Atlantic (27.75,27.85] -0.6627065 -0.6860561 -0.6393570
sal + silicate Atlantic (27.85,27.95] -0.6168872 -0.6388646 -0.5949098
sal + silicate Atlantic (27.95,28.05] -0.6722345 -0.7958600 -0.5486089
sal + silicate Atlantic (28.05,28.1] -0.8456526 -0.8666080 -0.8246971
sal + silicate Atlantic (28.1,28.15] -0.8893920 -0.9202287 -0.8585553
sal + silicate Atlantic (28.15,28.2] -0.8992498 -0.9564653 -0.8420343
sal + silicate Atlantic (28.2, Inf] -0.9049645 -0.9465580 -0.8633709
sal + silicate Indo-Pacific (-Inf,26] -0.4969798 -0.5463661 -0.4475935
sal + silicate Indo-Pacific (26,26.5] -0.5222892 -0.6498999 -0.3946786
sal + silicate Indo-Pacific (26.5,26.75] -0.6332955 -0.8036153 -0.4629757
sal + silicate Indo-Pacific (26.75,27] -0.5611867 -0.7476065 -0.3747669
sal + silicate Indo-Pacific (27,27.25] -0.2633813 -0.4650310 -0.0617315
sal + silicate Indo-Pacific (27.25,27.5] -0.0019276 -0.1160333 0.1121781
sal + silicate Indo-Pacific (27.5,27.75] 0.0333427 -0.0600654 0.1267508
sal + silicate Indo-Pacific (27.75,27.85] -0.0812216 -0.2983712 0.1359280
sal + silicate Indo-Pacific (27.85,27.95] -0.1939378 -0.3821154 -0.0057601
sal + silicate Indo-Pacific (27.95,28.05] -0.3284274 -0.4296570 -0.2271977
sal + silicate Indo-Pacific (28.05,28.1] -0.3418777 -0.3723667 -0.3113888
sal + silicate Indo-Pacific (28.1, Inf] 0.1439909 0.0986016 0.1893801
sal + temp Atlantic (-Inf,26] 0.9061342 0.8591490 0.9531195
sal + temp Atlantic (26,26.5] 0.9651449 0.9607020 0.9695879
sal + temp Atlantic (26.5,26.75] 0.9894207 0.9884204 0.9904210
sal + temp Atlantic (26.75,27] 0.9808454 0.9789371 0.9827537
sal + temp Atlantic (27,27.25] 0.9809848 0.9789625 0.9830071
sal + temp Atlantic (27.25,27.5] 0.9775033 0.9766806 0.9783260
sal + temp Atlantic (27.5,27.75] 0.9738904 0.9711583 0.9766224
sal + temp Atlantic (27.75,27.85] 0.9814741 0.9804555 0.9824928
sal + temp Atlantic (27.85,27.95] 0.9464353 0.9435499 0.9493208
sal + temp Atlantic (27.95,28.05] 0.8943094 0.8561306 0.9324882
sal + temp Atlantic (28.05,28.1] 0.9590874 0.9496403 0.9685346
sal + temp Atlantic (28.1,28.15] 0.9566390 0.9488777 0.9644003
sal + temp Atlantic (28.15,28.2] 0.8845248 0.8802495 0.8888002
sal + temp Atlantic (28.2, Inf] 0.1861904 0.1544147 0.2179661
sal + temp Indo-Pacific (-Inf,26] 0.7722492 0.7350392 0.8094591
sal + temp Indo-Pacific (26,26.5] 0.9463207 0.9461973 0.9464442
sal + temp Indo-Pacific (26.5,26.75] 0.9806537 0.9783562 0.9829512
sal + temp Indo-Pacific (26.75,27] 0.9772657 0.9757770 0.9787544
sal + temp Indo-Pacific (27,27.25] 0.9544588 0.9445300 0.9643876
sal + temp Indo-Pacific (27.25,27.5] 0.9032009 0.8568281 0.9495738
sal + temp Indo-Pacific (27.5,27.75] 0.8026522 0.6968425 0.9084619
sal + temp Indo-Pacific (27.75,27.85] 0.8774081 0.8237233 0.9310930
sal + temp Indo-Pacific (27.85,27.95] 0.8191602 0.7698182 0.8685022
sal + temp Indo-Pacific (27.95,28.05] 0.7880099 0.7543751 0.8216447
sal + temp Indo-Pacific (28.05,28.1] 0.7976739 0.7958553 0.7994924
sal + temp Indo-Pacific (28.1, Inf] 0.7184151 0.6794228 0.7574075
silicate + phosphate Atlantic (-Inf,26] 0.7600395 0.7452019 0.7748771
silicate + phosphate Atlantic (26,26.5] 0.8975607 0.8895051 0.9056163
silicate + phosphate Atlantic (26.5,26.75] 0.9171010 0.8646954 0.9695066
silicate + phosphate Atlantic (26.75,27] 0.9305321 0.9008957 0.9601685
silicate + phosphate Atlantic (27,27.25] 0.9576543 0.9497652 0.9655434
silicate + phosphate Atlantic (27.25,27.5] 0.9241539 0.9164700 0.9318378
silicate + phosphate Atlantic (27.5,27.75] 0.9085604 0.8984356 0.9186853
silicate + phosphate Atlantic (27.75,27.85] 0.9520809 0.9405739 0.9635878
silicate + phosphate Atlantic (27.85,27.95] 0.9670522 0.9648407 0.9692637
silicate + phosphate Atlantic (27.95,28.05] 0.9781970 0.9758226 0.9805714
silicate + phosphate Atlantic (28.05,28.1] 0.9862930 0.9854548 0.9871311
silicate + phosphate Atlantic (28.1,28.15] 0.9926928 0.9913114 0.9940743
silicate + phosphate Atlantic (28.15,28.2] 0.9900887 0.9852422 0.9949352
silicate + phosphate Atlantic (28.2, Inf] 0.9817862 0.9754178 0.9881547
silicate + phosphate Indo-Pacific (-Inf,26] 0.7901375 0.7494571 0.8308179
silicate + phosphate Indo-Pacific (26,26.5] 0.8117853 0.7852896 0.8382810
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8299616 0.8203052 0.8396180
silicate + phosphate Indo-Pacific (26.75,27] 0.8697464 0.8694625 0.8700303
silicate + phosphate Indo-Pacific (27,27.25] 0.9077964 0.8860339 0.9295589
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8900340 0.8556351 0.9244328
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8777820 0.8327653 0.9227988
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9404153 0.9202389 0.9605917
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9558321 0.9429944 0.9686698
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9534903 0.9473377 0.9596430
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9525288 0.9470588 0.9579987
silicate + phosphate Indo-Pacific (28.1, Inf] 0.7549551 0.7049405 0.8049697
silicate + phosphate_star Atlantic (-Inf,26] 0.6859684 0.6533103 0.7186265
silicate + phosphate_star Atlantic (26,26.5] 0.7841109 0.7800905 0.7881312
silicate + phosphate_star Atlantic (26.5,26.75] 0.7649285 0.7291479 0.8007092
silicate + phosphate_star Atlantic (26.75,27] 0.6062874 0.5767641 0.6358107
silicate + phosphate_star Atlantic (27,27.25] 0.7658915 0.7609285 0.7708545
silicate + phosphate_star Atlantic (27.25,27.5] 0.8597445 0.8359026 0.8835865
silicate + phosphate_star Atlantic (27.5,27.75] 0.8984190 0.8938241 0.9030138
silicate + phosphate_star Atlantic (27.75,27.85] 0.9063624 0.8921115 0.9206132
silicate + phosphate_star Atlantic (27.85,27.95] 0.8959534 0.8935928 0.8983139
silicate + phosphate_star Atlantic (27.95,28.05] 0.9064135 0.8917299 0.9210970
silicate + phosphate_star Atlantic (28.05,28.1] 0.9423939 0.9248996 0.9598883
silicate + phosphate_star Atlantic (28.1,28.15] 0.9562295 0.9378806 0.9745784
silicate + phosphate_star Atlantic (28.15,28.2] 0.9544472 0.9221236 0.9867707
silicate + phosphate_star Atlantic (28.2, Inf] 0.9085033 0.8879606 0.9290460
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7313222 0.7126891 0.7499552
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7769017 0.7714477 0.7823556
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.8065427 0.7729876 0.8400978
silicate + phosphate_star Indo-Pacific (26.75,27] 0.6976142 0.6407474 0.7544810
silicate + phosphate_star Indo-Pacific (27,27.25] 0.2665104 0.1778908 0.3551300
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.2636412 -0.2728238 -0.2544585
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.4493510 -0.5106203 -0.3880817
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.3475754 -0.3483664 -0.3467844
silicate + phosphate_star Indo-Pacific (27.85,27.95] 0.0366601 0.0260943 0.0472259
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.3720565 0.3602740 0.3838390
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.4175747 0.4012391 0.4339104
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.1924230 -0.2062023 -0.1786437
temp + aou Atlantic (-Inf,26] -0.0521351 -0.3425090 0.2382387
temp + aou Atlantic (26,26.5] -0.1769009 -0.2310613 -0.1227404
temp + aou Atlantic (26.5,26.75] -0.3923800 -0.4894569 -0.2953031
temp + aou Atlantic (26.75,27] -0.1817521 -0.2290522 -0.1344519
temp + aou Atlantic (27,27.25] -0.3404645 -0.4044442 -0.2764848
temp + aou Atlantic (27.25,27.5] -0.2468645 -0.3019906 -0.1917385
temp + aou Atlantic (27.5,27.75] -0.3941283 -0.4533062 -0.3349505
temp + aou Atlantic (27.75,27.85] -0.3823051 -0.4260421 -0.3385680
temp + aou Atlantic (27.85,27.95] -0.2153446 -0.2687254 -0.1619638
temp + aou Atlantic (27.95,28.05] -0.4486709 -0.4978537 -0.3994882
temp + aou Atlantic (28.05,28.1] -0.5679954 -0.6286701 -0.5073207
temp + aou Atlantic (28.1,28.15] -0.6352699 -0.6932544 -0.5772854
temp + aou Atlantic (28.15,28.2] -0.6022804 -0.7552928 -0.4492681
temp + aou Atlantic (28.2, Inf] 0.4185685 0.3958283 0.4413087
temp + aou Indo-Pacific (-Inf,26] -0.2402596 -0.2886719 -0.1918473
temp + aou Indo-Pacific (26,26.5] -0.2404206 -0.3239376 -0.1569036
temp + aou Indo-Pacific (26.5,26.75] -0.2290495 -0.3671709 -0.0909282
temp + aou Indo-Pacific (26.75,27] -0.1672298 -0.3558779 0.0214184
temp + aou Indo-Pacific (27,27.25] 0.0314865 -0.1820954 0.2450684
temp + aou Indo-Pacific (27.25,27.5] 0.2214963 0.0470889 0.3959038
temp + aou Indo-Pacific (27.5,27.75] 0.2348881 0.0349484 0.4348277
temp + aou Indo-Pacific (27.75,27.85] 0.1259188 -0.1272477 0.3790853
temp + aou Indo-Pacific (27.85,27.95] 0.1237459 -0.0368929 0.2843847
temp + aou Indo-Pacific (27.95,28.05] 0.1572708 0.0885662 0.2259754
temp + aou Indo-Pacific (28.05,28.1] 0.3126065 0.3084897 0.3167233
temp + aou Indo-Pacific (28.1, Inf] 0.8671145 0.8623240 0.8719050
temp + nitrate Atlantic (-Inf,26] -0.1202613 -0.2709976 0.0304750
temp + nitrate Atlantic (26,26.5] -0.5409768 -0.5431378 -0.5388158
temp + nitrate Atlantic (26.5,26.75] -0.6201634 -0.6680358 -0.5722910
temp + nitrate Atlantic (26.75,27] -0.5213623 -0.5438309 -0.4988936
temp + nitrate Atlantic (27,27.25] -0.7148374 -0.7202270 -0.7094479
temp + nitrate Atlantic (27.25,27.5] -0.7548131 -0.7687196 -0.7409066
temp + nitrate Atlantic (27.5,27.75] -0.7330423 -0.7562598 -0.7098247
temp + nitrate Atlantic (27.75,27.85] -0.6415798 -0.6603204 -0.6228392
temp + nitrate Atlantic (27.85,27.95] -0.4705536 -0.5424093 -0.3986978
temp + nitrate Atlantic (27.95,28.05] -0.6213059 -0.7032716 -0.5393402
temp + nitrate Atlantic (28.05,28.1] -0.7158487 -0.7225089 -0.7091885
temp + nitrate Atlantic (28.1,28.15] -0.7484327 -0.7506794 -0.7461860
temp + nitrate Atlantic (28.15,28.2] -0.6869508 -0.7507838 -0.6231178
temp + nitrate Atlantic (28.2, Inf] 0.1001966 0.0765553 0.1238379
temp + nitrate Indo-Pacific (-Inf,26] -0.4698122 -0.5296974 -0.4099270
temp + nitrate Indo-Pacific (26,26.5] -0.5078743 -0.6315441 -0.3842046
temp + nitrate Indo-Pacific (26.5,26.75] -0.4839059 -0.6424666 -0.3253451
temp + nitrate Indo-Pacific (26.75,27] -0.4385375 -0.6050719 -0.2720031
temp + nitrate Indo-Pacific (27,27.25] -0.2254140 -0.3871683 -0.0636597
temp + nitrate Indo-Pacific (27.25,27.5] -0.0367223 -0.1032315 0.0297870
temp + nitrate Indo-Pacific (27.5,27.75] 0.0015822 -0.0828802 0.0860445
temp + nitrate Indo-Pacific (27.75,27.85] -0.0560562 -0.2283365 0.1162242
temp + nitrate Indo-Pacific (27.85,27.95] -0.0477792 -0.1682587 0.0727002
temp + nitrate Indo-Pacific (27.95,28.05] -0.0694442 -0.1071274 -0.0317610
temp + nitrate Indo-Pacific (28.05,28.1] 0.0422301 0.0237085 0.0607517
temp + nitrate Indo-Pacific (28.1, Inf] 0.3757748 0.3550433 0.3965063
temp + phosphate Atlantic (-Inf,26] -0.5280760 -0.6413374 -0.4148146
temp + phosphate Atlantic (26,26.5] -0.7727742 -0.7923495 -0.7531989
temp + phosphate Atlantic (26.5,26.75] -0.7583324 -0.7811880 -0.7354768
temp + phosphate Atlantic (26.75,27] -0.6454934 -0.6651397 -0.6258471
temp + phosphate Atlantic (27,27.25] -0.7740362 -0.7809272 -0.7671451
temp + phosphate Atlantic (27.25,27.5] -0.8050442 -0.8132977 -0.7967907
temp + phosphate Atlantic (27.5,27.75] -0.7726370 -0.7934812 -0.7517928
temp + phosphate Atlantic (27.75,27.85] -0.6759698 -0.6955408 -0.6563988
temp + phosphate Atlantic (27.85,27.95] -0.4888548 -0.5534374 -0.4242721
temp + phosphate Atlantic (27.95,28.05] -0.6315151 -0.7130278 -0.5500025
temp + phosphate Atlantic (28.05,28.1] -0.7274395 -0.7364898 -0.7183891
temp + phosphate Atlantic (28.1,28.15] -0.7644351 -0.7683536 -0.7605166
temp + phosphate Atlantic (28.15,28.2] -0.6890567 -0.7449946 -0.6331187
temp + phosphate Atlantic (28.2, Inf] 0.0885759 0.0625850 0.1145668
temp + phosphate Indo-Pacific (-Inf,26] -0.3877814 -0.4262741 -0.3492887
temp + phosphate Indo-Pacific (26,26.5] -0.4501104 -0.5660430 -0.3341778
temp + phosphate Indo-Pacific (26.5,26.75] -0.4372911 -0.6023847 -0.2721975
temp + phosphate Indo-Pacific (26.75,27] -0.4198558 -0.6056299 -0.2340818
temp + phosphate Indo-Pacific (27,27.25] -0.1871108 -0.3866677 0.0124462
temp + phosphate Indo-Pacific (27.25,27.5] 0.0523719 -0.0788861 0.1836299
temp + phosphate Indo-Pacific (27.5,27.75] 0.1277475 -0.0275299 0.2830249
temp + phosphate Indo-Pacific (27.75,27.85] 0.0581947 -0.1679753 0.2843648
temp + phosphate Indo-Pacific (27.85,27.95] 0.0155297 -0.1385121 0.1695715
temp + phosphate Indo-Pacific (27.95,28.05] -0.0378402 -0.0945213 0.0188410
temp + phosphate Indo-Pacific (28.05,28.1] 0.0544716 0.0474117 0.0615315
temp + phosphate Indo-Pacific (28.1, Inf] 0.3731122 0.3132515 0.4329729
temp + phosphate_star Atlantic (-Inf,26] -0.8234881 -0.8711104 -0.7758658
temp + phosphate_star Atlantic (26,26.5] -0.9565335 -0.9739298 -0.9391372
temp + phosphate_star Atlantic (26.5,26.75] -0.9741275 -0.9781209 -0.9701340
temp + phosphate_star Atlantic (26.75,27] -0.9796316 -0.9800338 -0.9792294
temp + phosphate_star Atlantic (27,27.25] -0.9834736 -0.9857522 -0.9811949
temp + phosphate_star Atlantic (27.25,27.5] -0.9778159 -0.9790412 -0.9765907
temp + phosphate_star Atlantic (27.5,27.75] -0.9318986 -0.9377641 -0.9260331
temp + phosphate_star Atlantic (27.75,27.85] -0.8973776 -0.8990550 -0.8957002
temp + phosphate_star Atlantic (27.85,27.95] -0.8125268 -0.8404939 -0.7845597
temp + phosphate_star Atlantic (27.95,28.05] -0.8095606 -0.8757494 -0.7433719
temp + phosphate_star Atlantic (28.05,28.1] -0.8495842 -0.8867587 -0.8124096
temp + phosphate_star Atlantic (28.1,28.15] -0.8648870 -0.8860569 -0.8437172
temp + phosphate_star Atlantic (28.15,28.2] -0.7702544 -0.7818128 -0.7586960
temp + phosphate_star Atlantic (28.2, Inf] -0.2073536 -0.2437855 -0.1709218
temp + phosphate_star Indo-Pacific (-Inf,26] -0.7072635 -0.7892660 -0.6252609
temp + phosphate_star Indo-Pacific (26,26.5] -0.8202683 -0.8943868 -0.7461497
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.8478066 -0.9251853 -0.7704280
temp + phosphate_star Indo-Pacific (26.75,27] -0.9232250 -0.9545271 -0.8919230
temp + phosphate_star Indo-Pacific (27,27.25] -0.9245949 -0.9279931 -0.9211968
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.8340616 -0.9064092 -0.7617141
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.6957420 -0.8376394 -0.5538445
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.5842047 -0.7329080 -0.4355014
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.6833810 -0.6962578 -0.6705041
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.7330602 -0.7716137 -0.6945068
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6833651 -0.7247463 -0.6419840
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.9054833 -0.9156726 -0.8952941
temp + silicate Atlantic (-Inf,26] -0.6400212 -0.7335476 -0.5464948
temp + silicate Atlantic (26,26.5] -0.6946380 -0.7257372 -0.6635388
temp + silicate Atlantic (26.5,26.75] -0.7020006 -0.7159446 -0.6880566
temp + silicate Atlantic (26.75,27] -0.5529625 -0.5863232 -0.5196018
temp + silicate Atlantic (27,27.25] -0.7390531 -0.7431240 -0.7349822
temp + silicate Atlantic (27.25,27.5] -0.8408398 -0.8591304 -0.8225491
temp + silicate Atlantic (27.5,27.75] -0.7790514 -0.8046849 -0.7534179
temp + silicate Atlantic (27.75,27.85] -0.7006749 -0.7261104 -0.6752394
temp + silicate Atlantic (27.85,27.95] -0.5970356 -0.6513501 -0.5427211
temp + silicate Atlantic (27.95,28.05] -0.7021176 -0.7614383 -0.6427969
temp + silicate Atlantic (28.05,28.1] -0.7425712 -0.7628705 -0.7222720
temp + silicate Atlantic (28.1,28.15] -0.7550398 -0.7800875 -0.7299920
temp + silicate Atlantic (28.15,28.2] -0.6492193 -0.7517668 -0.5466718
temp + silicate Atlantic (28.2, Inf] 0.1086978 0.1016372 0.1157585
temp + silicate Indo-Pacific (-Inf,26] -0.5055812 -0.5896061 -0.4215562
temp + silicate Indo-Pacific (26,26.5] -0.5565965 -0.6883078 -0.4248852
temp + silicate Indo-Pacific (26.5,26.75] -0.6300425 -0.7980286 -0.4620564
temp + silicate Indo-Pacific (26.75,27] -0.5853782 -0.7388544 -0.4319020
temp + silicate Indo-Pacific (27,27.25] -0.3274297 -0.4984445 -0.1564149
temp + silicate Indo-Pacific (27.25,27.5] -0.0877872 -0.2215080 0.0459336
temp + silicate Indo-Pacific (27.5,27.75] -0.0498836 -0.1688489 0.0690816
temp + silicate Indo-Pacific (27.75,27.85] -0.0227776 -0.2253776 0.1798224
temp + silicate Indo-Pacific (27.85,27.95] -0.0510298 -0.1897198 0.0876602
temp + silicate Indo-Pacific (27.95,28.05] -0.0595009 -0.1161311 -0.0028707
temp + silicate Indo-Pacific (28.05,28.1] 0.1370099 0.1230186 0.1510013
temp + silicate Indo-Pacific (28.1, Inf] 0.4094894 0.3826010 0.4363778 
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
83a13de jens-daniel-mueller 2021-03-20
cf98c6d jens-daniel-mueller 2021-03-16
a1d52ff jens-daniel-mueller 2021-03-15
0bade3b jens-daniel-mueller 2021-03-15
27c1f4b jens-daniel-mueller 2021-03-14
af75ebf jens-daniel-mueller 2021-03-14
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
7b672f7 jens-daniel-mueller 2021-01-11
33ba23c jens-daniel-mueller 2021-01-07
318609d jens-daniel-mueller 2020-12-23
9d0b2d0 jens-daniel-mueller 2020-12-23
0aa2b50 jens-daniel-mueller 2020-12-23
2886da0 jens-daniel-mueller 2020-12-19
02f0ee9 jens-daniel-mueller 2020-12-18
7bcb4eb jens-daniel-mueller 2020-12-18
158fe26 jens-daniel-mueller 2020-12-15
7a9a4cb jens-daniel-mueller 2020-12-15
61b263c jens-daniel-mueller 2020-12-15
984697e jens-daniel-mueller 2020-12-12
3ebff89 jens-daniel-mueller 2020-12-12
5d96d3c jens-daniel-mueller 2020-12-11
24a632f jens-daniel-mueller 2020-12-07
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30 
# 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] 0.5833166 0.5403772 0.6262560
aou Atlantic (26,26.5] 0.0272963 -0.0685027 0.1230953
aou Atlantic (26.5,26.75] -0.2814178 -0.3704019 -0.1924337
aou Atlantic (26.75,27] -0.2597317 -0.3124036 -0.2070597
aou Atlantic (27,27.25] -0.5242306 -0.5433801 -0.5050811
aou Atlantic (27.25,27.5] -0.4854039 -0.5012442 -0.4695635
aou Atlantic (27.5,27.75] -0.7421685 -0.7442407 -0.7400963
aou Atlantic (27.75,27.85] -0.8749078 -0.8877289 -0.8620867
aou Atlantic (27.85,27.95] -0.9001357 -0.9029926 -0.8972789
aou Atlantic (27.95,28.05] -0.8792266 -0.8801709 -0.8782823
aou Atlantic (28.05,28.1] -0.8597062 -0.8688549 -0.8505574
aou Atlantic (28.1,28.15] -0.8960184 -0.8971941 -0.8948426
aou Atlantic (28.15,28.2] -0.9232404 -0.9277879 -0.9186930
aou Atlantic (28.2, Inf] -0.7807949 -0.8072350 -0.7543549
aou Indo-Pacific (-Inf,26] -0.3322221 -0.5032441 -0.1612000
aou Indo-Pacific (26,26.5] -0.7511737 -0.7751255 -0.7272218
aou Indo-Pacific (26.5,26.75] -0.7740944 -0.7890265 -0.7591624
aou Indo-Pacific (26.75,27] -0.6719622 -0.7046455 -0.6392788
aou Indo-Pacific (27,27.25] 0.0177258 -0.0388923 0.0743440
aou Indo-Pacific (27.25,27.5] 0.5330083 0.4491057 0.6169109
aou Indo-Pacific (27.5,27.75] 0.6423921 0.5348614 0.7499227
aou Indo-Pacific (27.75,27.85] 0.6836457 0.5687245 0.7985668
aou Indo-Pacific (27.85,27.95] 0.6068291 0.4862491 0.7274091
aou Indo-Pacific (27.95,28.05] 0.3590647 0.2622034 0.4559260
aou Indo-Pacific (28.05,28.1] 0.1633481 0.1629039 0.1637924
aou Indo-Pacific (28.1, Inf] 0.1684054 0.1418018 0.1950089
nitrate Atlantic (-Inf,26] 0.3591679 0.3103621 0.4079737
nitrate Atlantic (26,26.5] -0.3305582 -0.3636810 -0.2974354
nitrate Atlantic (26.5,26.75] -0.4911657 -0.5390989 -0.4432326
nitrate Atlantic (26.75,27] -0.5637538 -0.6254186 -0.5020891
nitrate Atlantic (27,27.25] -0.8253193 -0.8493884 -0.8012502
nitrate Atlantic (27.25,27.5] -0.8984998 -0.9215807 -0.8754190
nitrate Atlantic (27.5,27.75] -0.9583432 -0.9650636 -0.9516229
nitrate Atlantic (27.75,27.85] -0.9603863 -0.9617878 -0.9589847
nitrate Atlantic (27.85,27.95] -0.9280015 -0.9365743 -0.9194287
nitrate Atlantic (27.95,28.05] -0.9110757 -0.9298151 -0.8923363
nitrate Atlantic (28.05,28.1] -0.8971639 -0.9195789 -0.8747490
nitrate Atlantic (28.1,28.15] -0.9324074 -0.9464787 -0.9183361
nitrate Atlantic (28.15,28.2] -0.9589090 -0.9753472 -0.9424708
nitrate Atlantic (28.2, Inf] -0.9588774 -0.9681122 -0.9496427
nitrate Indo-Pacific (-Inf,26] -0.3600790 -0.5402859 -0.1798721
nitrate Indo-Pacific (26,26.5] -0.8156221 -0.8383619 -0.7928823
nitrate Indo-Pacific (26.5,26.75] -0.8560300 -0.8730316 -0.8390284
nitrate Indo-Pacific (26.75,27] -0.7988079 -0.8406779 -0.7569380
nitrate Indo-Pacific (27,27.25] -0.0925893 -0.1439911 -0.0411875
nitrate Indo-Pacific (27.25,27.5] 0.4448048 0.3451662 0.5444434
nitrate Indo-Pacific (27.5,27.75] 0.5864532 0.5036808 0.6692257
nitrate Indo-Pacific (27.75,27.85] 0.6645767 0.5860727 0.7430806
nitrate Indo-Pacific (27.85,27.95] 0.5678528 0.4805083 0.6551973
nitrate Indo-Pacific (27.95,28.05] 0.2747612 0.2033679 0.3461545
nitrate Indo-Pacific (28.05,28.1] 0.0443767 0.0402110 0.0485425
nitrate Indo-Pacific (28.1, Inf] -0.0486421 -0.0526306 -0.0446536
phosphate Atlantic (-Inf,26] 0.1426421 0.0563661 0.2289181
phosphate Atlantic (26,26.5] -0.5663235 -0.6373072 -0.4953398
phosphate Atlantic (26.5,26.75] -0.6246433 -0.6698251 -0.5794616
phosphate Atlantic (26.75,27] -0.6840722 -0.7317633 -0.6363811
phosphate Atlantic (27,27.25] -0.8803919 -0.8985343 -0.8622495
phosphate Atlantic (27.25,27.5] -0.9341553 -0.9519663 -0.9163443
phosphate Atlantic (27.5,27.75] -0.9768198 -0.9820654 -0.9715741
phosphate Atlantic (27.75,27.85] -0.9757803 -0.9786736 -0.9728869
phosphate Atlantic (27.85,27.95] -0.9506616 -0.9590142 -0.9423090
phosphate Atlantic (27.95,28.05] -0.9338587 -0.9487246 -0.9189928
phosphate Atlantic (28.05,28.1] -0.9178119 -0.9353279 -0.9002959
phosphate Atlantic (28.1,28.15] -0.9421088 -0.9518095 -0.9324082
phosphate Atlantic (28.15,28.2] -0.9669867 -0.9804934 -0.9534800
phosphate Atlantic (28.2, Inf] -0.9697493 -0.9752431 -0.9642555
phosphate Indo-Pacific (-Inf,26] -0.3553715 -0.5422618 -0.1684811
phosphate Indo-Pacific (26,26.5] -0.8450587 -0.8540848 -0.8360327
phosphate Indo-Pacific (26.5,26.75] -0.8813756 -0.8930743 -0.8696769
phosphate Indo-Pacific (26.75,27] -0.8109911 -0.8516068 -0.7703753
phosphate Indo-Pacific (27,27.25] -0.1053981 -0.1577914 -0.0530048
phosphate Indo-Pacific (27.25,27.5] 0.4372232 0.3349890 0.5394575
phosphate Indo-Pacific (27.5,27.75] 0.5438772 0.4298041 0.6579504
phosphate Indo-Pacific (27.75,27.85] 0.5871777 0.4605719 0.7137835
phosphate Indo-Pacific (27.85,27.95] 0.4866434 0.3497981 0.6234886
phosphate Indo-Pacific (27.95,28.05] 0.1847418 0.0746663 0.2948173
phosphate Indo-Pacific (28.05,28.1] -0.0514791 -0.0722705 -0.0306877
phosphate Indo-Pacific (28.1, Inf] -0.2095635 -0.2422351 -0.1768919
phosphate_star Atlantic (-Inf,26] -0.2967194 -0.3535470 -0.2398918
phosphate_star Atlantic (26,26.5] -0.7784042 -0.8475639 -0.7092445
phosphate_star Atlantic (26.5,26.75] -0.8208561 -0.8839507 -0.7577614
phosphate_star Atlantic (26.75,27] -0.9251554 -0.9330648 -0.9172460
phosphate_star Atlantic (27,27.25] -0.9548430 -0.9597507 -0.9499353
phosphate_star Atlantic (27.25,27.5] -0.9616982 -0.9656182 -0.9577781
phosphate_star Atlantic (27.5,27.75] -0.9450790 -0.9529784 -0.9371795
phosphate_star Atlantic (27.75,27.85] -0.9024706 -0.9113887 -0.8935525
phosphate_star Atlantic (27.85,27.95] -0.8061097 -0.8178150 -0.7944044
phosphate_star Atlantic (27.95,28.05] -0.8462080 -0.8849025 -0.8075135
phosphate_star Atlantic (28.05,28.1] -0.8872006 -0.8902026 -0.8841986
phosphate_star Atlantic (28.1,28.15] -0.9214371 -0.9225058 -0.9203683
phosphate_star Atlantic (28.15,28.2] -0.9605348 -0.9659515 -0.9551181
phosphate_star Atlantic (28.2, Inf] -0.9492288 -0.9630516 -0.9354059
phosphate_star Indo-Pacific (-Inf,26] -0.2032499 -0.4026461 -0.0038537
phosphate_star Indo-Pacific (26,26.5] -0.8142150 -0.8552082 -0.7732217
phosphate_star Indo-Pacific (26.5,26.75] -0.8603985 -0.8944252 -0.8263717
phosphate_star Indo-Pacific (26.75,27] -0.7640511 -0.8297155 -0.6983867
phosphate_star Indo-Pacific (27,27.25] -0.3345055 -0.3716187 -0.2973923
phosphate_star Indo-Pacific (27.25,27.5] -0.3410468 -0.3592899 -0.3228037
phosphate_star Indo-Pacific (27.5,27.75] -0.4395498 -0.5745555 -0.3045442
phosphate_star Indo-Pacific (27.75,27.85] -0.4446611 -0.5644440 -0.3248782
phosphate_star Indo-Pacific (27.85,27.95] -0.3327891 -0.3608807 -0.3046974
phosphate_star Indo-Pacific (27.95,28.05] -0.3544297 -0.3570155 -0.3518440
phosphate_star Indo-Pacific (28.05,28.1] -0.4653605 -0.4802584 -0.4504626
phosphate_star Indo-Pacific (28.1, Inf] -0.4253971 -0.4712491 -0.3795452
sal Atlantic (-Inf,26] 0.1536945 0.1394940 0.1678949
sal Atlantic (26,26.5] 0.7225209 0.6148955 0.8301462
sal Atlantic (26.5,26.75] 0.7692482 0.6670084 0.8714880
sal Atlantic (26.75,27] 0.8926098 0.8833445 0.9018750
sal Atlantic (27,27.25] 0.9354557 0.9283950 0.9425164
sal Atlantic (27.25,27.5] 0.9282226 0.9237682 0.9326770
sal Atlantic (27.5,27.75] 0.8257409 0.7989200 0.8525618
sal Atlantic (27.75,27.85] 0.6709260 0.6524418 0.6894102
sal Atlantic (27.85,27.95] 0.4195145 0.3811654 0.4578635
sal Atlantic (27.95,28.05] 0.4785647 0.3030166 0.6541129
sal Atlantic (28.05,28.1] 0.6744317 0.6426766 0.7061868
sal Atlantic (28.1,28.15] 0.7888823 0.7782687 0.7994959
sal Atlantic (28.15,28.2] 0.8690398 0.8472935 0.8907861
sal Atlantic (28.2, Inf] 0.9227679 0.9089965 0.9365393
sal Indo-Pacific (-Inf,26] 0.0506840 0.0366842 0.0646838
sal Indo-Pacific (26,26.5] 0.4784156 0.3205250 0.6363062
sal Indo-Pacific (26.5,26.75] 0.5684299 0.3991933 0.7376665
sal Indo-Pacific (26.75,27] 0.4862979 0.3188540 0.6537417
sal Indo-Pacific (27,27.25] -0.0650108 -0.0678596 -0.0621620
sal Indo-Pacific (27.25,27.5] -0.1622528 -0.2909527 -0.0335528
sal Indo-Pacific (27.5,27.75] -0.1705615 -0.2125857 -0.1285373
sal Indo-Pacific (27.75,27.85] -0.3065850 -0.3595780 -0.2535920
sal Indo-Pacific (27.85,27.95] -0.2547631 -0.2565085 -0.2530176
sal Indo-Pacific (27.95,28.05] -0.0268723 -0.0728891 0.0191446
sal Indo-Pacific (28.05,28.1] 0.1561660 0.1157224 0.1966095
sal Indo-Pacific (28.1, Inf] 0.2688634 0.2418114 0.2959155
silicate Atlantic (-Inf,26] 0.0515009 -0.0223124 0.1253143
silicate Atlantic (26,26.5] -0.5095652 -0.5706655 -0.4484650
silicate Atlantic (26.5,26.75] -0.5389781 -0.6120553 -0.4659009
silicate Atlantic (26.75,27] -0.5832506 -0.6207132 -0.5457881
silicate Atlantic (27,27.25] -0.8320134 -0.8513957 -0.8126310
silicate Atlantic (27.25,27.5] -0.8910776 -0.9104517 -0.8717035
silicate Atlantic (27.5,27.75] -0.8903642 -0.8967286 -0.8839998
silicate Atlantic (27.75,27.85] -0.9010983 -0.9182996 -0.8838971
silicate Atlantic (27.85,27.95] -0.8740251 -0.8897140 -0.8583363
silicate Atlantic (27.95,28.05] -0.8741074 -0.8984829 -0.8497320
silicate Atlantic (28.05,28.1] -0.8762275 -0.8979038 -0.8545512
silicate Atlantic (28.1,28.15] -0.9221850 -0.9308197 -0.9135504
silicate Atlantic (28.15,28.2] -0.9486674 -0.9574383 -0.9398965
silicate Atlantic (28.2, Inf] -0.9447528 -0.9462978 -0.9432077
silicate Indo-Pacific (-Inf,26] -0.3665294 -0.5389905 -0.1940683
silicate Indo-Pacific (26,26.5] -0.7495627 -0.7581283 -0.7409970
silicate Indo-Pacific (26.5,26.75] -0.7660326 -0.7690828 -0.7629824
silicate Indo-Pacific (26.75,27] -0.6467933 -0.6750044 -0.6185823
silicate Indo-Pacific (27,27.25] 0.1655815 0.1284232 0.2027398
silicate Indo-Pacific (27.25,27.5] 0.7144746 0.6577598 0.7711895
silicate Indo-Pacific (27.5,27.75] 0.7914547 0.7373027 0.8456067
silicate Indo-Pacific (27.75,27.85] 0.7289322 0.6417645 0.8160999
silicate Indo-Pacific (27.85,27.95] 0.5954824 0.4809030 0.7100617
silicate Indo-Pacific (27.95,28.05] 0.3168822 0.2207572 0.4130072
silicate Indo-Pacific (28.05,28.1] 0.0856423 0.0663799 0.1049048
silicate Indo-Pacific (28.1, Inf] -0.0952303 -0.1043232 -0.0861373
temp Atlantic (-Inf,26] -0.0484784 -0.1455071 0.0485503
temp Atlantic (26,26.5] 0.7039283 0.6261867 0.7816700
temp Atlantic (26.5,26.75] 0.7421921 0.6368552 0.8475290
temp Atlantic (26.75,27] 0.8639702 0.8515457 0.8763946
temp Atlantic (27,27.25] 0.9068480 0.9009862 0.9127097
temp Atlantic (27.25,27.5] 0.9108018 0.9073618 0.9142418
temp Atlantic (27.5,27.75] 0.8054580 0.7786776 0.8322385
temp Atlantic (27.75,27.85] 0.6782172 0.6624025 0.6940320
temp Atlantic (27.85,27.95] 0.3942189 0.3198918 0.4685461
temp Atlantic (27.95,28.05] 0.4928604 0.3639058 0.6218149
temp Atlantic (28.05,28.1] 0.5659398 0.5137707 0.6181089
temp Atlantic (28.1,28.15] 0.6370245 0.6092871 0.6647618
temp Atlantic (28.15,28.2] 0.5980534 0.5723352 0.6237715
temp Atlantic (28.2, Inf] -0.0306005 -0.1179374 0.0567363
temp Indo-Pacific (-Inf,26] -0.2764260 -0.3343887 -0.2184633
temp Indo-Pacific (26,26.5] 0.4680096 0.3101109 0.6259083
temp Indo-Pacific (26.5,26.75] 0.5515105 0.3843295 0.7186914
temp Indo-Pacific (26.75,27] 0.5386956 0.4005672 0.6768239
temp Indo-Pacific (27,27.25] 0.0552336 0.0307271 0.0797402
temp Indo-Pacific (27.25,27.5] -0.1466647 -0.2666847 -0.0266446
temp Indo-Pacific (27.5,27.75] -0.2319258 -0.2865521 -0.1772995
temp Indo-Pacific (27.75,27.85] -0.2748561 -0.3294517 -0.2202606
temp Indo-Pacific (27.85,27.95] -0.1925750 -0.2060568 -0.1790932
temp Indo-Pacific (27.95,28.05] 0.0191230 -0.0190297 0.0572757
temp Indo-Pacific (28.05,28.1] 0.1789534 0.1574295 0.2004772
temp Indo-Pacific (28.1, Inf] 0.2101849 0.1533046 0.2670652 
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_0.7.2      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_3.3.2    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_1.4-1         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_2.1.0               
[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_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_1.5             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_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1