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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).

GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          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: Atlantic | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Atlantic"))))

Version Author Date
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
GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          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: Indo-Pacific | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Indo-Pacific") )))

Version Author Date
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

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

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]
    
    # print(i_basin)
    # print(i_era)
    
    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]
      # print(i_gamma_slab)
      
      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(
            "cstar",
            "sal",
            "tem",
            "aou",
            "oxygen",
            "silicate",
            "phosphate",
            "phosphate_star"
          ),
          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 indivdually 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]
print(i_basin)
print(i_era)

GLODAP_basin_era <- GLODAP %>% 
  filter(basin == i_basin,
         era == i_era) %>% 
  select(basin,
         era,
         gamma_slab,
         cstar,
         sal,
         tem,
         aou,
         oxygen,
         silicate,
         phosphate,
         phosphate_star)

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)

  cor_cstar_predictor_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    focus(cstar) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
  if (exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- bind_rows(cor_cstar_predictor, cor_cstar_predictor_temp)
      }
      
    if (!exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- cor_cstar_predictor_temp
    }
  
  
  cor_predictors_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    shave %>% 
    stretch() %>% 
    filter(!is.na(r),
           x != "cstar",
           y != "cstar") %>% 
    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_cstar_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).

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()

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
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
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 + oxygen Atlantic (-Inf,26] -0.9475459 -0.9604084 -0.9240131
aou + oxygen Atlantic (26,26.5] -0.8376354 -0.9122340 -0.6914285
aou + oxygen Atlantic (26.5,26.75] -0.9443749 -0.9742933 -0.9061920
aou + oxygen Atlantic (26.75,27] -0.9779570 -0.9797903 -0.9751253
aou + oxygen Atlantic (27,27.25] -0.9763421 -0.9807774 -0.9679562
aou + oxygen Atlantic (27.25,27.5] -0.9405934 -0.9482981 -0.9346161
aou + oxygen Atlantic (27.5,27.75] -0.9281214 -0.9592423 -0.9124116
aou + oxygen Atlantic (27.75,27.85] -0.9663905 -0.9768900 -0.9516632
aou + oxygen Atlantic (27.85,27.95] -0.9872608 -0.9916426 -0.9846616
aou + oxygen Atlantic (27.95,28.05] -0.9869444 -0.9899383 -0.9819898
aou + oxygen Atlantic (28.05,28.1] -0.9877123 -0.9943524 -0.9776371
aou + oxygen Atlantic (28.1,28.15] -0.9920253 -0.9956170 -0.9870247
aou + oxygen Atlantic (28.15,28.2] -0.9968181 -0.9993272 -0.9930698
aou + oxygen Atlantic (28.2, Inf] -0.9862748 -0.9895300 -0.9828139
aou + oxygen Indo-Pacific (-Inf,26] -0.9225841 -0.9650674 -0.8940790
aou + oxygen Indo-Pacific (26,26.5] -0.9829374 -0.9894647 -0.9743206
aou + oxygen Indo-Pacific (26.5,26.75] -0.9857974 -0.9908652 -0.9815298
aou + oxygen Indo-Pacific (26.75,27] -0.9848885 -0.9874161 -0.9829407
aou + oxygen Indo-Pacific (27,27.25] -0.9916673 -0.9931810 -0.9890395
aou + oxygen Indo-Pacific (27.25,27.5] -0.9930472 -0.9953331 -0.9888073
aou + oxygen Indo-Pacific (27.5,27.75] -0.9917916 -0.9939170 -0.9882951
aou + oxygen Indo-Pacific (27.75,27.85] -0.9963587 -0.9989619 -0.9929505
aou + oxygen Indo-Pacific (27.85,27.95] -0.9965559 -0.9987469 -0.9943845
aou + oxygen Indo-Pacific (27.95,28.05] -0.9948784 -0.9961225 -0.9931119
aou + oxygen Indo-Pacific (28.05,28.1] -0.9940503 -0.9958612 -0.9922629
aou + oxygen Indo-Pacific (28.1, Inf] -0.9915487 -0.9926241 -0.9897586
aou + phosphate Atlantic (-Inf,26] 0.3888703 -0.0131851 0.7434863
aou + phosphate Atlantic (26,26.5] 0.6335034 0.5010055 0.7585618
aou + phosphate Atlantic (26.5,26.75] 0.8515513 0.7821568 0.9204643
aou + phosphate Atlantic (26.75,27] 0.8686892 0.8463406 0.8847913
aou + phosphate Atlantic (27,27.25] 0.8503990 0.8230116 0.8995390
aou + phosphate Atlantic (27.25,27.5] 0.7291386 0.6700878 0.7929829
aou + phosphate Atlantic (27.5,27.75] 0.8597088 0.8400869 0.8981321
aou + phosphate Atlantic (27.75,27.85] 0.9317772 0.9231029 0.9483883
aou + phosphate Atlantic (27.85,27.95] 0.9464736 0.9420322 0.9508141
aou + phosphate Atlantic (27.95,28.05] 0.9568862 0.9452863 0.9764938
aou + phosphate Atlantic (28.05,28.1] 0.9637626 0.9374488 0.9854537
aou + phosphate Atlantic (28.1,28.15] 0.9765218 0.9624925 0.9851908
aou + phosphate Atlantic (28.15,28.2] 0.9860603 0.9686645 0.9964244
aou + phosphate Atlantic (28.2, Inf] 0.8812195 0.8402736 0.9447263
aou + phosphate Indo-Pacific (-Inf,26] 0.9403233 0.9114775 0.9605157
aou + phosphate Indo-Pacific (26,26.5] 0.9453389 0.9309541 0.9555253
aou + phosphate Indo-Pacific (26.5,26.75] 0.9402811 0.9323229 0.9486438
aou + phosphate Indo-Pacific (26.75,27] 0.9466474 0.9367838 0.9568206
aou + phosphate Indo-Pacific (27,27.25] 0.9669283 0.9525316 0.9791675
aou + phosphate Indo-Pacific (27.25,27.5] 0.9627738 0.9417207 0.9780882
aou + phosphate Indo-Pacific (27.5,27.75] 0.9442072 0.9219530 0.9603218
aou + phosphate Indo-Pacific (27.75,27.85] 0.9807428 0.9699732 0.9879206
aou + phosphate Indo-Pacific (27.85,27.95] 0.9783662 0.9672995 0.9884102
aou + phosphate Indo-Pacific (27.95,28.05] 0.9643082 0.9514111 0.9742784
aou + phosphate Indo-Pacific (28.05,28.1] 0.9493456 0.9323508 0.9656919
aou + phosphate Indo-Pacific (28.1, Inf] 0.7695478 0.7047120 0.8256703
aou + phosphate_star Atlantic (-Inf,26] -0.2308736 -0.6713696 0.3362197
aou + phosphate_star Atlantic (26,26.5] 0.2400808 0.1251833 0.3754281
aou + phosphate_star Atlantic (26.5,26.75] 0.4799837 0.4185957 0.6009722
aou + phosphate_star Atlantic (26.75,27] 0.3077992 0.2619873 0.3378343
aou + phosphate_star Atlantic (27,27.25] 0.3158252 0.0860001 0.5459123
aou + phosphate_star Atlantic (27.25,27.5] 0.2385712 0.0981954 0.3687213
aou + phosphate_star Atlantic (27.5,27.75] 0.5634749 0.5479370 0.5850090
aou + phosphate_star Atlantic (27.75,27.85] 0.6929701 0.6694551 0.7102207
aou + phosphate_star Atlantic (27.85,27.95] 0.6557701 0.5979971 0.6891330
aou + phosphate_star Atlantic (27.95,28.05] 0.7975394 0.7364215 0.8797231
aou + phosphate_star Atlantic (28.05,28.1] 0.8661918 0.7846540 0.9393153
aou + phosphate_star Atlantic (28.1,28.15] 0.9102429 0.8632542 0.9401397
aou + phosphate_star Atlantic (28.15,28.2] 0.9500863 0.8834488 0.9897098
aou + phosphate_star Atlantic (28.2, Inf] 0.6602029 0.5318511 0.8316891
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6704597 0.5646792 0.7372591
aou + phosphate_star Indo-Pacific (26,26.5] 0.5243199 0.3917025 0.6245846
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.3590663 0.2318206 0.5661872
aou + phosphate_star Indo-Pacific (26.75,27] 0.3525601 0.2019545 0.4746092
aou + phosphate_star Indo-Pacific (27,27.25] 0.0798626 -0.1113102 0.2204618
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.4058610 -0.4594826 -0.3489556
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.3097733 -0.5325436 0.0429534
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.5160432 -0.5968477 -0.4720226
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.1466295 -0.1635289 -0.1209193
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.1512806 0.0652943 0.1990064
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.2759839 0.2596079 0.2926531
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.6824225 -0.7096336 -0.6544791
aou + silicate Atlantic (-Inf,26] 0.1715764 -0.2529136 0.5754309
aou + silicate Atlantic (26,26.5] 0.5590474 0.4204551 0.6884459
aou + silicate Atlantic (26.5,26.75] 0.8390892 0.7903177 0.9219485
aou + silicate Atlantic (26.75,27] 0.8630017 0.8263096 0.8842078
aou + silicate Atlantic (27,27.25] 0.8071165 0.7334645 0.8928015
aou + silicate Atlantic (27.25,27.5] 0.5364679 0.3638514 0.6975798
aou + silicate Atlantic (27.5,27.75] 0.6733371 0.6624928 0.6915165
aou + silicate Atlantic (27.75,27.85] 0.8402694 0.8234475 0.8490667
aou + silicate Atlantic (27.85,27.95] 0.8900067 0.8896495 0.8901947
aou + silicate Atlantic (27.95,28.05] 0.9387087 0.9332973 0.9460396
aou + silicate Atlantic (28.05,28.1] 0.9644832 0.9495511 0.9794473
aou + silicate Atlantic (28.1,28.15] 0.9769482 0.9715662 0.9812530
aou + silicate Atlantic (28.15,28.2] 0.9899075 0.9808916 0.9961188
aou + silicate Atlantic (28.2, Inf] 0.8904637 0.8645424 0.9298133
aou + silicate Indo-Pacific (-Inf,26] 0.7445176 0.6855603 0.7937723
aou + silicate Indo-Pacific (26,26.5] 0.6534422 0.5604762 0.7266831
aou + silicate Indo-Pacific (26.5,26.75] 0.6124967 0.4433605 0.7050511
aou + silicate Indo-Pacific (26.75,27] 0.7486032 0.7138995 0.7793044
aou + silicate Indo-Pacific (27,27.25] 0.8755205 0.8424043 0.9062791
aou + silicate Indo-Pacific (27.25,27.5] 0.9023023 0.8663495 0.9355127
aou + silicate Indo-Pacific (27.5,27.75] 0.9200075 0.8737882 0.9475280
aou + silicate Indo-Pacific (27.75,27.85] 0.9661888 0.9517144 0.9744475
aou + silicate Indo-Pacific (27.85,27.95] 0.9616734 0.9492053 0.9696058
aou + silicate Indo-Pacific (27.95,28.05] 0.9471854 0.9387939 0.9520240
aou + silicate Indo-Pacific (28.05,28.1] 0.9462642 0.9448045 0.9490396
aou + silicate Indo-Pacific (28.1, Inf] 0.6738493 0.6443323 0.6891115
oxygen + phosphate Atlantic (-Inf,26] -0.1825309 -0.5219585 0.2111471
oxygen + phosphate Atlantic (26,26.5] -0.1586801 -0.4473396 0.2523740
oxygen + phosphate Atlantic (26.5,26.75] -0.6408755 -0.8115984 -0.4514074
oxygen + phosphate Atlantic (26.75,27] -0.7490786 -0.7758943 -0.7098696
oxygen + phosphate Atlantic (27,27.25] -0.7205009 -0.7982230 -0.6576784
oxygen + phosphate Atlantic (27.25,27.5] -0.4674527 -0.5661163 -0.3968979
oxygen + phosphate Atlantic (27.5,27.75] -0.6319463 -0.7642557 -0.5650689
oxygen + phosphate Atlantic (27.75,27.85] -0.8224622 -0.8828373 -0.7698636
oxygen + phosphate Atlantic (27.85,27.95] -0.8922560 -0.9132974 -0.8809867
oxygen + phosphate Atlantic (27.95,28.05] -0.9142458 -0.9521049 -0.8799858
oxygen + phosphate Atlantic (28.05,28.1] -0.9208681 -0.9715371 -0.8532421
oxygen + phosphate Atlantic (28.1,28.15] -0.9476589 -0.9717929 -0.9115573
oxygen + phosphate Atlantic (28.15,28.2] -0.9745218 -0.9959869 -0.9367909
oxygen + phosphate Atlantic (28.2, Inf] -0.8124353 -0.9021662 -0.7530637
oxygen + phosphate Indo-Pacific (-Inf,26] -0.7895512 -0.9000905 -0.6990770
oxygen + phosphate Indo-Pacific (26,26.5] -0.8834724 -0.8968789 -0.8617212
oxygen + phosphate Indo-Pacific (26.5,26.75] -0.8801755 -0.8924076 -0.8719360
oxygen + phosphate Indo-Pacific (26.75,27] -0.8839458 -0.8955332 -0.8753526
oxygen + phosphate Indo-Pacific (27,27.25] -0.9337330 -0.9559706 -0.9081046
oxygen + phosphate Indo-Pacific (27.25,27.5] -0.9415252 -0.9627543 -0.9014370
oxygen + phosphate Indo-Pacific (27.5,27.75] -0.9410969 -0.9703006 -0.8890073
oxygen + phosphate Indo-Pacific (27.75,27.85] -0.9736482 -0.9884776 -0.9543331
oxygen + phosphate Indo-Pacific (27.85,27.95] -0.9685851 -0.9861086 -0.9516758
oxygen + phosphate Indo-Pacific (27.95,28.05] -0.9414245 -0.9554557 -0.9226960
oxygen + phosphate Indo-Pacific (28.05,28.1] -0.9176222 -0.9420694 -0.8943327
oxygen + phosphate Indo-Pacific (28.1, Inf] -0.6934721 -0.7574114 -0.6157272
oxygen + phosphate_star Atlantic (-Inf,26] 0.4475645 -0.0326522 0.8158415
oxygen + phosphate_star Atlantic (26,26.5] 0.2795871 0.0179654 0.5352183
oxygen + phosphate_star Atlantic (26.5,26.75] -0.1803317 -0.4088299 -0.0005262
oxygen + phosphate_star Atlantic (26.75,27] -0.1060111 -0.1453996 -0.0444809
oxygen + phosphate_star Atlantic (27,27.25] -0.1120819 -0.3729706 0.1077330
oxygen + phosphate_star Atlantic (27.25,27.5] 0.0916099 -0.0617877 0.2312302
oxygen + phosphate_star Atlantic (27.5,27.75] -0.2417290 -0.3611046 -0.1775145
oxygen + phosphate_star Atlantic (27.75,27.85] -0.5042326 -0.5606543 -0.4694156
oxygen + phosphate_star Atlantic (27.85,27.95] -0.5422062 -0.5690693 -0.5066603
oxygen + phosphate_star Atlantic (27.95,28.05] -0.7135464 -0.8241205 -0.6565024
oxygen + phosphate_star Atlantic (28.05,28.1] -0.7921038 -0.9106069 -0.6483708
oxygen + phosphate_star Atlantic (28.1,28.15] -0.8590423 -0.9137212 -0.7773090
oxygen + phosphate_star Atlantic (28.15,28.2] -0.9292479 -0.9885038 -0.8276423
oxygen + phosphate_star Atlantic (28.2, Inf] -0.5545541 -0.7615269 -0.3991429
oxygen + phosphate_star Indo-Pacific (-Inf,26] -0.3886163 -0.5531003 -0.1918400
oxygen + phosphate_star Indo-Pacific (26,26.5] -0.3827524 -0.4414941 -0.2921830
oxygen + phosphate_star Indo-Pacific (26.5,26.75] -0.2164125 -0.4055658 -0.0677368
oxygen + phosphate_star Indo-Pacific (26.75,27] -0.1973286 -0.3110231 -0.0615838
oxygen + phosphate_star Indo-Pacific (27,27.25] 0.0332031 -0.1207676 0.2400105
oxygen + phosphate_star Indo-Pacific (27.25,27.5] 0.4771503 0.3935722 0.5620170
oxygen + phosphate_star Indo-Pacific (27.5,27.75] 0.3219580 -0.0984214 0.6144319
oxygen + phosphate_star Indo-Pacific (27.75,27.85] 0.5521641 0.5176503 0.5999501
oxygen + phosphate_star Indo-Pacific (27.85,27.95] 0.1956967 0.1421772 0.2232467
oxygen + phosphate_star Indo-Pacific (27.95,28.05] -0.0700489 -0.1215071 0.0110735
oxygen + phosphate_star Indo-Pacific (28.05,28.1] -0.1853379 -0.2133744 -0.1617405
oxygen + phosphate_star Indo-Pacific (28.1, Inf] 0.7624835 0.7364235 0.7916314
oxygen + silicate Atlantic (-Inf,26] 0.0263998 -0.3797872 0.4278503
oxygen + silicate Atlantic (26,26.5] -0.1071467 -0.4136890 0.3259815
oxygen + silicate Atlantic (26.5,26.75] -0.6472776 -0.8297327 -0.5015393
oxygen + silicate Atlantic (26.75,27] -0.7597555 -0.7868853 -0.7122282
oxygen + silicate Atlantic (27,27.25] -0.6789762 -0.7979845 -0.6022959
oxygen + silicate Atlantic (27.25,27.5] -0.2533973 -0.4575626 -0.0627752
oxygen + silicate Atlantic (27.5,27.75] -0.4119352 -0.5103928 -0.3624847
oxygen + silicate Atlantic (27.75,27.85] -0.7097466 -0.7534701 -0.6537645
oxygen + silicate Atlantic (27.85,27.95] -0.8170713 -0.8342830 -0.8065055
oxygen + silicate Atlantic (27.95,28.05] -0.8795713 -0.8968600 -0.8562238
oxygen + silicate Atlantic (28.05,28.1] -0.9178215 -0.9567438 -0.8693152
oxygen + silicate Atlantic (28.1,28.15] -0.9476122 -0.9581688 -0.9273083
oxygen + silicate Atlantic (28.15,28.2] -0.9813918 -0.9950623 -0.9597882
oxygen + silicate Atlantic (28.2, Inf] -0.8242335 -0.8828302 -0.7821554
oxygen + silicate Indo-Pacific (-Inf,26] -0.5258612 -0.6974290 -0.3897214
oxygen + silicate Indo-Pacific (26,26.5] -0.5480555 -0.6632509 -0.4443005
oxygen + silicate Indo-Pacific (26.5,26.75] -0.4987873 -0.6296886 -0.3070876
oxygen + silicate Indo-Pacific (26.75,27] -0.6417939 -0.6698871 -0.5956745
oxygen + silicate Indo-Pacific (27,27.25] -0.8192398 -0.8584587 -0.7723163
oxygen + silicate Indo-Pacific (27.25,27.5] -0.8598546 -0.9051176 -0.8063751
oxygen + silicate Indo-Pacific (27.5,27.75] -0.8800270 -0.9186177 -0.8121394
oxygen + silicate Indo-Pacific (27.75,27.85] -0.9513413 -0.9701586 -0.9236121
oxygen + silicate Indo-Pacific (27.85,27.95] -0.9457240 -0.9625760 -0.9244936
oxygen + silicate Indo-Pacific (27.95,28.05] -0.9206210 -0.9296656 -0.9057053
oxygen + silicate Indo-Pacific (28.05,28.1] -0.9178099 -0.9211302 -0.9129220
oxygen + silicate Indo-Pacific (28.1, Inf] -0.6048311 -0.6184626 -0.5821727
phosphate + phosphate_star Atlantic (-Inf,26] 0.7599458 0.6727778 0.8695592
phosphate + phosphate_star Atlantic (26,26.5] 0.8926934 0.8394516 0.9524454
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8631375 0.8318898 0.8925554
phosphate + phosphate_star Atlantic (26.75,27] 0.7375410 0.7352116 0.7404379
phosphate + phosphate_star Atlantic (27,27.25] 0.7610591 0.6284682 0.8566112
phosphate + phosphate_star Atlantic (27.25,27.5] 0.8353192 0.8012130 0.8577294
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9016282 0.8773742 0.9159814
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9032925 0.8838842 0.9249096
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8609893 0.8138778 0.8904014
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9350033 0.9095178 0.9578426
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9664516 0.9502595 0.9825877
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9772367 0.9672385 0.9837778
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9881560 0.9717054 0.9980688
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9341519 0.9038448 0.9666212
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8666414 0.8358762 0.9032171
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.7677448 0.6932287 0.8357006
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6482217 0.5475575 0.7959100
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6296455 0.5265606 0.7317603
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.3208810 0.1885490 0.4067649
phosphate + phosphate_star Indo-Pacific (27.25,27.5] -0.1635600 -0.2203350 -0.1217933
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.0149577 -0.1961288 0.3362262
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.3543178 -0.4719380 -0.2626272
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.0471191 0.0242122 0.0868954
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.3988402 0.2845361 0.4756119
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.5580568 0.5287068 0.5861616
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.0663955 -0.1160494 -0.0059865
sal + aou Atlantic (-Inf,26] 0.1728282 -0.3310034 0.5293116
sal + aou Atlantic (26,26.5] -0.1301347 -0.2192144 -0.0179934
sal + aou Atlantic (26.5,26.75] -0.3707373 -0.4775203 -0.3138988
sal + aou Atlantic (26.75,27] -0.2572295 -0.2933637 -0.2100668
sal + aou Atlantic (27,27.25] -0.3209426 -0.5585937 -0.0826952
sal + aou Atlantic (27.25,27.5] -0.2118353 -0.3643351 -0.0384177
sal + aou Atlantic (27.5,27.75] -0.4070111 -0.4509077 -0.3802926
sal + aou Atlantic (27.75,27.85] -0.3667866 -0.4414521 -0.2683987
sal + aou Atlantic (27.85,27.95] -0.2482085 -0.3495390 -0.0905244
sal + aou Atlantic (27.95,28.05] -0.4613389 -0.5903829 -0.3319230
sal + aou Atlantic (28.05,28.1] -0.7071514 -0.7438565 -0.6395739
sal + aou Atlantic (28.1,28.15] -0.8184837 -0.8555868 -0.7671207
sal + aou Atlantic (28.15,28.2] -0.9185148 -0.9890539 -0.8088000
sal + aou Atlantic (28.2, Inf] -0.7000569 -0.8684545 -0.5895479
sal + aou Indo-Pacific (-Inf,26] -0.1173101 -0.1898708 -0.0482354
sal + aou Indo-Pacific (26,26.5] -0.0534846 -0.2534704 0.1100896
sal + aou Indo-Pacific (26.5,26.75] -0.0689868 -0.3603408 0.1996024
sal + aou Indo-Pacific (26.75,27] -0.1709808 -0.3554963 0.0224913
sal + aou Indo-Pacific (27,27.25] -0.0419487 -0.1851883 0.2286408
sal + aou Indo-Pacific (27.25,27.5] 0.1619388 0.0716420 0.3392206
sal + aou Indo-Pacific (27.5,27.75] 0.3075864 0.1358957 0.4876485
sal + aou Indo-Pacific (27.75,27.85] -0.1492963 -0.4068109 0.1567788
sal + aou Indo-Pacific (27.85,27.95] -0.3116390 -0.6471856 -0.0154195
sal + aou Indo-Pacific (27.95,28.05] -0.3095800 -0.4124907 -0.1633507
sal + aou Indo-Pacific (28.05,28.1] -0.3193106 -0.4775329 -0.1977666
sal + aou Indo-Pacific (28.1, Inf] 0.4322752 0.3194263 0.4954694
sal + oxygen Atlantic (-Inf,26] -0.4276456 -0.7099211 -0.0075604
sal + oxygen Atlantic (26,26.5] -0.3874847 -0.5887437 -0.1854830
sal + oxygen Atlantic (26.5,26.75] 0.0597151 -0.1052835 0.2702615
sal + oxygen Atlantic (26.75,27] 0.0540200 -0.0080812 0.0995965
sal + oxygen Atlantic (27,27.25] 0.1186974 -0.1086844 0.3873076
sal + oxygen Atlantic (27.25,27.5] -0.1198853 -0.2980721 0.0577937
sal + oxygen Atlantic (27.5,27.75] 0.0564706 -0.0067686 0.1155469
sal + oxygen Atlantic (27.75,27.85] 0.1261331 0.0616409 0.1641284
sal + oxygen Atlantic (27.85,27.95] 0.1040630 -0.0279477 0.1965993
sal + oxygen Atlantic (27.95,28.05] 0.3372750 0.2171075 0.4446646
sal + oxygen Atlantic (28.05,28.1] 0.5997841 0.4713963 0.6782067
sal + oxygen Atlantic (28.1,28.15] 0.7434827 0.6571590 0.7934782
sal + oxygen Atlantic (28.15,28.2] 0.8870239 0.7369940 0.9838727
sal + oxygen Atlantic (28.2, Inf] 0.5993637 0.4610095 0.8022953
sal + oxygen Indo-Pacific (-Inf,26] -0.1825426 -0.2972814 -0.1097463
sal + oxygen Indo-Pacific (26,26.5] -0.1139124 -0.2626501 0.0414178
sal + oxygen Indo-Pacific (26.5,26.75] -0.0887988 -0.3595361 0.1789516
sal + oxygen Indo-Pacific (26.75,27] 0.0048916 -0.1760922 0.1819191
sal + oxygen Indo-Pacific (27,27.25] -0.0773595 -0.3645994 0.0765127
sal + oxygen Indo-Pacific (27.25,27.5] -0.2593776 -0.4664504 -0.1540596
sal + oxygen Indo-Pacific (27.5,27.75] -0.4055844 -0.5706416 -0.2214109
sal + oxygen Indo-Pacific (27.75,27.85] 0.0834327 -0.2640563 0.3798210
sal + oxygen Indo-Pacific (27.85,27.95] 0.2524370 -0.0770478 0.6285780
sal + oxygen Indo-Pacific (27.95,28.05] 0.2295184 0.0627413 0.3484798
sal + oxygen Indo-Pacific (28.05,28.1] 0.2246151 0.0835466 0.4064760
sal + oxygen Indo-Pacific (28.1, Inf] -0.5096491 -0.5608475 -0.4088912
sal + phosphate Atlantic (-Inf,26] -0.6563522 -0.7613570 -0.5154934
sal + phosphate Atlantic (26,26.5] -0.8057593 -0.8998143 -0.7453265
sal + phosphate Atlantic (26.5,26.75] -0.7803907 -0.8218674 -0.7461832
sal + phosphate Atlantic (26.75,27] -0.6892579 -0.6941168 -0.6859849
sal + phosphate Atlantic (27,27.25] -0.7516987 -0.8535016 -0.6129714
sal + phosphate Atlantic (27.25,27.5] -0.7855928 -0.8346793 -0.7061449
sal + phosphate Atlantic (27.5,27.75] -0.7529002 -0.8178183 -0.6707400
sal + phosphate Atlantic (27.75,27.85] -0.6049935 -0.7090312 -0.4432162
sal + phosphate Atlantic (27.85,27.95] -0.4926730 -0.5905708 -0.3292776
sal + phosphate Atlantic (27.95,28.05] -0.6292137 -0.7767081 -0.5506984
sal + phosphate Atlantic (28.05,28.1] -0.8226525 -0.8372336 -0.7982063
sal + phosphate Atlantic (28.1,28.15] -0.8935990 -0.9126107 -0.8768357
sal + phosphate Atlantic (28.15,28.2] -0.9515136 -0.9866980 -0.9135176
sal + phosphate Atlantic (28.2, Inf] -0.9399225 -0.9769630 -0.9143670
sal + phosphate Indo-Pacific (-Inf,26] -0.2202770 -0.2940559 -0.1754456
sal + phosphate Indo-Pacific (26,26.5] -0.2732699 -0.4947387 -0.1162393
sal + phosphate Indo-Pacific (26.5,26.75] -0.3192358 -0.5998758 -0.1015681
sal + phosphate Indo-Pacific (26.75,27] -0.4165732 -0.6032815 -0.2335277
sal + phosphate Indo-Pacific (27,27.25] -0.2099069 -0.3467311 0.0176117
sal + phosphate Indo-Pacific (27.25,27.5] 0.0741531 -0.0095587 0.1570137
sal + phosphate Indo-Pacific (27.5,27.75] 0.3471751 0.1647529 0.6700848
sal + phosphate Indo-Pacific (27.75,27.85] -0.1764670 -0.3787838 0.0911866
sal + phosphate Indo-Pacific (27.85,27.95] -0.3727843 -0.6585248 -0.0961576
sal + phosphate Indo-Pacific (27.95,28.05] -0.4691032 -0.5609125 -0.3342866
sal + phosphate Indo-Pacific (28.05,28.1] -0.5289906 -0.6456253 -0.4284119
sal + phosphate Indo-Pacific (28.1, Inf] -0.0673131 -0.1851778 0.0144356
sal + phosphate_star Atlantic (-Inf,26] -0.8889567 -0.9000203 -0.8703544
sal + phosphate_star Atlantic (26,26.5] -0.9647768 -0.9709098 -0.9592886
sal + phosphate_star Atlantic (26.5,26.75] -0.9745007 -0.9755540 -0.9736950
sal + phosphate_star Atlantic (26.75,27] -0.9804797 -0.9831555 -0.9764206
sal + phosphate_star Atlantic (27,27.25] -0.9815060 -0.9829295 -0.9793023
sal + phosphate_star Atlantic (27.25,27.5] -0.9637612 -0.9745819 -0.9428075
sal + phosphate_star Atlantic (27.5,27.75] -0.9171238 -0.9443520 -0.8839046
sal + phosphate_star Atlantic (27.75,27.85] -0.8294143 -0.8900393 -0.7200137
sal + phosphate_star Atlantic (27.85,27.95] -0.8062819 -0.8447311 -0.7368739
sal + phosphate_star Atlantic (27.95,28.05] -0.7995445 -0.9030424 -0.6912208
sal + phosphate_star Atlantic (28.05,28.1] -0.9012469 -0.9338090 -0.8606082
sal + phosphate_star Atlantic (28.1,28.15] -0.9426239 -0.9580711 -0.9176012
sal + phosphate_star Atlantic (28.15,28.2] -0.9683894 -0.9840051 -0.9533090
sal + phosphate_star Atlantic (28.2, Inf] -0.9807788 -0.9913247 -0.9744318
sal + phosphate_star Indo-Pacific (-Inf,26] -0.4917263 -0.5121354 -0.4690185
sal + phosphate_star Indo-Pacific (26,26.5] -0.6928311 -0.8300752 -0.6149719
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8151083 -0.9128745 -0.7110312
sal + phosphate_star Indo-Pacific (26.75,27] -0.8760760 -0.9294413 -0.8089217
sal + phosphate_star Indo-Pacific (27,27.25] -0.8123176 -0.8440515 -0.7786483
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.5554625 -0.7655279 -0.3139758
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.0716399 -0.6276290 0.5349757
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.2564248 -0.5957389 0.2102246
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.4298319 -0.5932261 -0.1411259
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7624173 -0.7991701 -0.7196095
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8418364 -0.8799696 -0.7936527
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.7772732 -0.8173862 -0.7005657
sal + silicate Atlantic (-Inf,26] -0.7303060 -0.8140438 -0.6732885
sal + silicate Atlantic (26,26.5] -0.7673816 -0.9191803 -0.6906740
sal + silicate Atlantic (26.5,26.75] -0.7089645 -0.7592260 -0.6642432
sal + silicate Atlantic (26.75,27] -0.5978289 -0.6323706 -0.5676806
sal + silicate Atlantic (27,27.25] -0.7280578 -0.8084565 -0.6320336
sal + silicate Atlantic (27.25,27.5] -0.8008276 -0.8261169 -0.7709485
sal + silicate Atlantic (27.5,27.75] -0.7410763 -0.7594751 -0.7223879
sal + silicate Atlantic (27.75,27.85] -0.6323562 -0.6873448 -0.5328345
sal + silicate Atlantic (27.85,27.95] -0.5776891 -0.6612537 -0.4403449
sal + silicate Atlantic (27.95,28.05] -0.6815665 -0.8009217 -0.5990182
sal + silicate Atlantic (28.05,28.1] -0.8392685 -0.8595311 -0.8219224
sal + silicate Atlantic (28.1,28.15] -0.8985480 -0.9161591 -0.8721625
sal + silicate Atlantic (28.15,28.2] -0.9368691 -0.9887896 -0.8670309
sal + silicate Atlantic (28.2, Inf] -0.9139205 -0.9849066 -0.8719184
sal + silicate Indo-Pacific (-Inf,26] -0.5154463 -0.5932843 -0.4088319
sal + silicate Indo-Pacific (26,26.5] -0.5323817 -0.6692469 -0.3858006
sal + silicate Indo-Pacific (26.5,26.75] -0.6565700 -0.8047307 -0.5118492
sal + silicate Indo-Pacific (26.75,27] -0.6576620 -0.7630449 -0.4765383
sal + silicate Indo-Pacific (27,27.25] -0.4052558 -0.5369992 -0.1864151
sal + silicate Indo-Pacific (27.25,27.5] -0.1064440 -0.1926510 0.0279642
sal + silicate Indo-Pacific (27.5,27.75] 0.1528148 0.0358308 0.3812260
sal + silicate Indo-Pacific (27.75,27.85] -0.1983534 -0.3620413 0.0178888
sal + silicate Indo-Pacific (27.85,27.95] -0.3468525 -0.5941884 -0.1182301
sal + silicate Indo-Pacific (27.95,28.05] -0.3867537 -0.4542907 -0.2833586
sal + silicate Indo-Pacific (28.05,28.1] -0.4349007 -0.5373102 -0.3510988
sal + silicate Indo-Pacific (28.1, Inf] 0.0655129 -0.0404215 0.1445309
sal + tem Atlantic (-Inf,26] 0.8920598 0.8591490 0.9472669
sal + tem Atlantic (26,26.5] 0.9655178 0.9607020 0.9697338
sal + tem Atlantic (26.5,26.75] 0.9891393 0.9883162 0.9901226
sal + tem Atlantic (26.75,27] 0.9816344 0.9790618 0.9833460
sal + tem Atlantic (27,27.25] 0.9792936 0.9758631 0.9819790
sal + tem Atlantic (27.25,27.5] 0.9759958 0.9731909 0.9781556
sal + tem Atlantic (27.5,27.75] 0.9695427 0.9608357 0.9753482
sal + tem Atlantic (27.75,27.85] 0.9803151 0.9770437 0.9827845
sal + tem Atlantic (27.85,27.95] 0.9418768 0.9266708 0.9500885
sal + tem Atlantic (27.95,28.05] 0.8854378 0.8547981 0.9249476
sal + tem Atlantic (28.05,28.1] 0.9565272 0.9509261 0.9655245
sal + tem Atlantic (28.1,28.15] 0.9377185 0.8937912 0.9636795
sal + tem Atlantic (28.15,28.2] 0.8960880 0.8813598 0.9131500
sal + tem Atlantic (28.2, Inf] 0.1593329 0.0382896 0.2231473
sal + tem Indo-Pacific (-Inf,26] 0.7490319 0.7126033 0.8098447
sal + tem Indo-Pacific (26,26.5] 0.9239766 0.8849409 0.9441167
sal + tem Indo-Pacific (26.5,26.75] 0.9766334 0.9686280 0.9828505
sal + tem Indo-Pacific (26.75,27] 0.9757977 0.9708803 0.9790597
sal + tem Indo-Pacific (27,27.25] 0.9466881 0.9302888 0.9650314
sal + tem Indo-Pacific (27.25,27.5] 0.8753609 0.8246690 0.9485862
sal + tem Indo-Pacific (27.5,27.75] 0.8554531 0.7887239 0.9007206
sal + tem Indo-Pacific (27.75,27.85] 0.8048970 0.6483422 0.9283214
sal + tem Indo-Pacific (27.85,27.95] 0.7103694 0.4891701 0.8605322
sal + tem Indo-Pacific (27.95,28.05] 0.7350086 0.6509124 0.8168326
sal + tem Indo-Pacific (28.05,28.1] 0.7243663 0.6315282 0.7883624
sal + tem Indo-Pacific (28.1, Inf] 0.6708318 0.6204392 0.7245367
silicate + phosphate Atlantic (-Inf,26] 0.7546062 0.6728559 0.8457608
silicate + phosphate Atlantic (26,26.5] 0.9216831 0.8895051 0.9709324
silicate + phosphate Atlantic (26.5,26.75] 0.9517806 0.9053096 0.9804495
silicate + phosphate Atlantic (26.75,27] 0.9506714 0.9224236 0.9687154
silicate + phosphate Atlantic (27,27.25] 0.9560083 0.9432072 0.9711735
silicate + phosphate Atlantic (27.25,27.5] 0.9100890 0.8721534 0.9379486
silicate + phosphate Atlantic (27.5,27.75] 0.9047324 0.9011824 0.9100656
silicate + phosphate Atlantic (27.75,27.85] 0.9492474 0.9413065 0.9587769
silicate + phosphate Atlantic (27.85,27.95] 0.9682683 0.9641725 0.9731661
silicate + phosphate Atlantic (27.95,28.05] 0.9769382 0.9707258 0.9819104
silicate + phosphate Atlantic (28.05,28.1] 0.9870331 0.9857917 0.9886271
silicate + phosphate Atlantic (28.1,28.15] 0.9931603 0.9915127 0.9940874
silicate + phosphate Atlantic (28.15,28.2] 0.9935460 0.9876472 0.9984270
silicate + phosphate Atlantic (28.2, Inf] 0.9836028 0.9753987 0.9963357
silicate + phosphate Indo-Pacific (-Inf,26] 0.7978707 0.7559728 0.8244502
silicate + phosphate Indo-Pacific (26,26.5] 0.7556234 0.6750298 0.8171442
silicate + phosphate Indo-Pacific (26.5,26.75] 0.7494306 0.6213486 0.8140657
silicate + phosphate Indo-Pacific (26.75,27] 0.8475422 0.8138189 0.8696956
silicate + phosphate Indo-Pacific (27,27.25] 0.9012101 0.8873933 0.9285422
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8801883 0.8577104 0.9213640
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8619125 0.8381935 0.8897939
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9496044 0.9329257 0.9610781
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9631650 0.9503149 0.9699781
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9580650 0.9481359 0.9630580
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9541743 0.9453587 0.9613013
silicate + phosphate Indo-Pacific (28.1, Inf] 0.7740963 0.7095844 0.8262856
silicate + phosphate_star Atlantic (-Inf,26] 0.6823336 0.5977146 0.7959759
silicate + phosphate_star Atlantic (26,26.5] 0.8337812 0.7710037 0.9502494
silicate + phosphate_star Atlantic (26.5,26.75] 0.7968035 0.7432241 0.8453111
silicate + phosphate_star Atlantic (26.75,27] 0.6534937 0.6229091 0.6833475
silicate + phosphate_star Atlantic (27,27.25] 0.7427118 0.6621855 0.8124128
silicate + phosphate_star Atlantic (27.25,27.5] 0.8701689 0.8502988 0.8835240
silicate + phosphate_star Atlantic (27.5,27.75] 0.9094882 0.8968290 0.9259123
silicate + phosphate_star Atlantic (27.75,27.85] 0.9138088 0.9081302 0.9204293
silicate + phosphate_star Atlantic (27.85,27.95] 0.8868286 0.8507596 0.9116480
silicate + phosphate_star Atlantic (27.95,28.05] 0.9255982 0.8948462 0.9555212
silicate + phosphate_star Atlantic (28.05,28.1] 0.9487309 0.9212162 0.9743496
silicate + phosphate_star Atlantic (28.1,28.15] 0.9668840 0.9445273 0.9835976
silicate + phosphate_star Atlantic (28.15,28.2] 0.9729083 0.9363659 0.9960531
silicate + phosphate_star Atlantic (28.2, Inf] 0.9037740 0.8557650 0.9725998
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7733864 0.7384226 0.8414055
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7377250 0.6708042 0.7891608
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.7469491 0.6608231 0.8387135
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7124384 0.6266686 0.7652583
silicate + phosphate_star Indo-Pacific (27,27.25] 0.3488072 0.2466523 0.4275072
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.2404587 -0.2682006 -0.2032610
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.2364347 -0.3989406 -0.0115692
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4546419 -0.6040897 -0.3525337
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.0051778 -0.0176871 0.0173693
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.3337235 0.2431461 0.3805226
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.4477528 0.4319763 0.4581444
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.1382412 -0.1885972 -0.0776659
tem + aou Atlantic (-Inf,26] 0.1649381 -0.3425090 0.5404027
tem + aou Atlantic (26,26.5] -0.1828357 -0.2581414 -0.0593044
tem + aou Atlantic (26.5,26.75] -0.3940782 -0.4917652 -0.3274270
tem + aou Atlantic (26.75,27] -0.2486365 -0.2990899 -0.1941507
tem + aou Atlantic (27,27.25] -0.2652859 -0.4890987 -0.0453011
tem + aou Atlantic (27.25,27.5] -0.1789541 -0.3383310 -0.0095389
tem + aou Atlantic (27.5,27.75] -0.3802860 -0.4430949 -0.3332740
tem + aou Atlantic (27.75,27.85] -0.3587354 -0.4422629 -0.2417793
tem + aou Atlantic (27.85,27.95] -0.2116185 -0.3412751 -0.0643344
tem + aou Atlantic (27.95,28.05] -0.4484714 -0.5120387 -0.4154901
tem + aou Atlantic (28.05,28.1] -0.5743109 -0.6314662 -0.4924155
tem + aou Atlantic (28.1,28.15] -0.6209432 -0.7051556 -0.5456059
tem + aou Atlantic (28.15,28.2] -0.7107557 -0.8604840 -0.5079921
tem + aou Atlantic (28.2, Inf] 0.4122769 0.3276191 0.4868685
tem + aou Indo-Pacific (-Inf,26] -0.2943194 -0.4356745 -0.2149296
tem + aou Indo-Pacific (26,26.5] -0.1510960 -0.3118550 -0.0481537
tem + aou Indo-Pacific (26.5,26.75] -0.0528592 -0.3309803 0.1897521
tem + aou Indo-Pacific (26.75,27] -0.1793226 -0.3492330 -0.0154317
tem + aou Indo-Pacific (27,27.25] -0.1129011 -0.2736535 0.1457203
tem + aou Indo-Pacific (27.25,27.5] 0.1361201 0.0154778 0.3226112
tem + aou Indo-Pacific (27.5,27.75] 0.3493925 0.1877868 0.5099451
tem + aou Indo-Pacific (27.75,27.85] 0.0219733 -0.1911629 0.2683286
tem + aou Indo-Pacific (27.85,27.95] 0.0004877 -0.2169543 0.1836622
tem + aou Indo-Pacific (27.95,28.05] 0.1495914 0.1145609 0.1723391
tem + aou Indo-Pacific (28.05,28.1] 0.2879782 0.2527375 0.3166428
tem + aou Indo-Pacific (28.1, Inf] 0.8680175 0.8612380 0.8745069
tem + oxygen Atlantic (-Inf,26] -0.4507735 -0.7528824 -0.0421108
tem + oxygen Atlantic (26,26.5] -0.3557897 -0.5190716 -0.1874525
tem + oxygen Atlantic (26.5,26.75] 0.0810837 -0.0648373 0.2830381
tem + oxygen Atlantic (26.75,27] 0.0415029 -0.0279252 0.1023150
tem + oxygen Atlantic (27,27.25] 0.0559628 -0.1503503 0.3073004
tem + oxygen Atlantic (27.25,27.5] -0.1615322 -0.3348503 0.0224596
tem + oxygen Atlantic (27.5,27.75] 0.0150490 -0.0477036 0.0539543
tem + oxygen Atlantic (27.75,27.85] 0.1115572 0.0291824 0.1596322
tem + oxygen Atlantic (27.85,27.95] 0.0562352 -0.0647363 0.1771603
tem + oxygen Atlantic (27.95,28.05] 0.3008164 0.2761252 0.3407860
tem + oxygen Atlantic (28.05,28.1] 0.4460494 0.3001074 0.5487038
tem + oxygen Atlantic (28.1,28.15] 0.5235667 0.4691610 0.6221386
tem + oxygen Atlantic (28.15,28.2] 0.6573787 0.4058964 0.8422015
tem + oxygen Atlantic (28.2, Inf] -0.5486576 -0.6331077 -0.4542743
tem + oxygen Indo-Pacific (-Inf,26] -0.0837127 -0.2255742 0.0215839
tem + oxygen Indo-Pacific (26,26.5] -0.0286365 -0.1245541 0.0902181
tem + oxygen Indo-Pacific (26.5,26.75] -0.1096684 -0.3561192 0.1445496
tem + oxygen Indo-Pacific (26.75,27] 0.0085791 -0.1425437 0.1712384
tem + oxygen Indo-Pacific (27,27.25] -0.0126995 -0.2899386 0.1597272
tem + oxygen Indo-Pacific (27.25,27.5] -0.2470903 -0.4599540 -0.1118312
tem + oxygen Indo-Pacific (27.5,27.75] -0.4634401 -0.6067251 -0.2945677
tem + oxygen Indo-Pacific (27.75,27.85] -0.0993468 -0.3804784 0.1463427
tem + oxygen Indo-Pacific (27.85,27.95] -0.0785511 -0.2863615 0.1681896
tem + oxygen Indo-Pacific (27.95,28.05] -0.2468871 -0.2855090 -0.2081154
tem + oxygen Indo-Pacific (28.05,28.1] -0.3826904 -0.4126220 -0.3283842
tem + oxygen Indo-Pacific (28.1, Inf] -0.9209204 -0.9226796 -0.9186535
tem + phosphate Atlantic (-Inf,26] -0.5645928 -0.6413374 -0.4661417
tem + phosphate Atlantic (26,26.5] -0.8144105 -0.9278119 -0.7531989
tem + phosphate Atlantic (26.5,26.75] -0.7951319 -0.8505304 -0.7531411
tem + phosphate Atlantic (26.75,27] -0.6810053 -0.6976949 -0.6714929
tem + phosphate Atlantic (27,27.25] -0.7132080 -0.8074725 -0.5846163
tem + phosphate Atlantic (27.25,27.5] -0.7662859 -0.8200549 -0.6873743
tem + phosphate Atlantic (27.5,27.75] -0.7310841 -0.8122866 -0.6250099
tem + phosphate Atlantic (27.75,27.85] -0.6089140 -0.7214335 -0.4324399
tem + phosphate Atlantic (27.85,27.95] -0.4569063 -0.5838131 -0.2925428
tem + phosphate Atlantic (27.95,28.05] -0.5944236 -0.7044290 -0.4910553
tem + phosphate Atlantic (28.05,28.1] -0.7102896 -0.7252471 -0.6882111
tem + phosphate Atlantic (28.1,28.15] -0.7203640 -0.7844890 -0.6063309
tem + phosphate Atlantic (28.15,28.2] -0.7543074 -0.8486275 -0.6606126
tem + phosphate Atlantic (28.2, Inf] 0.0992196 0.0488371 0.1317525
tem + phosphate Indo-Pacific (-Inf,26] -0.4516934 -0.6088968 -0.2956916
tem + phosphate Indo-Pacific (26,26.5] -0.3828140 -0.5628208 -0.2831181
tem + phosphate Indo-Pacific (26.5,26.75] -0.3182972 -0.5839887 -0.1259738
tem + phosphate Indo-Pacific (26.75,27] -0.4414881 -0.6098077 -0.2905319
tem + phosphate Indo-Pacific (27,27.25] -0.3003438 -0.4086618 -0.0874108
tem + phosphate Indo-Pacific (27.25,27.5] 0.0175717 -0.0973584 0.1161305
tem + phosphate Indo-Pacific (27.5,27.75] 0.3738831 0.1886682 0.6760045
tem + phosphate Indo-Pacific (27.75,27.85] -0.0074964 -0.1567822 0.1902916
tem + phosphate Indo-Pacific (27.85,27.95] -0.0672136 -0.2302690 0.0869377
tem + phosphate Indo-Pacific (27.95,28.05] -0.0260741 -0.0526651 -0.0063306
tem + phosphate Indo-Pacific (28.05,28.1] 0.0617697 0.0451059 0.0800971
tem + phosphate Indo-Pacific (28.1, Inf] 0.4232845 0.3325140 0.4844849
tem + phosphate_star Atlantic (-Inf,26] -0.8216589 -0.8670473 -0.7758658
tem + phosphate_star Atlantic (26,26.5] -0.9593485 -0.9734110 -0.9391372
tem + phosphate_star Atlantic (26.5,26.75] -0.9795965 -0.9859354 -0.9748365
tem + phosphate_star Atlantic (26.75,27] -0.9808688 -0.9845619 -0.9754272
tem + phosphate_star Atlantic (27,27.25] -0.9823039 -0.9852564 -0.9805605
tem + phosphate_star Atlantic (27.25,27.5] -0.9679349 -0.9789115 -0.9468880
tem + phosphate_star Atlantic (27.5,27.75] -0.9128470 -0.9483358 -0.8636043
tem + phosphate_star Atlantic (27.75,27.85] -0.8471434 -0.9112330 -0.7333371
tem + phosphate_star Atlantic (27.85,27.95] -0.7919562 -0.8441972 -0.7115969
tem + phosphate_star Atlantic (27.95,28.05] -0.7669222 -0.8647405 -0.6501975
tem + phosphate_star Atlantic (28.05,28.1] -0.8262752 -0.8795094 -0.7702845
tem + phosphate_star Atlantic (28.1,28.15] -0.8101951 -0.8825666 -0.6878254
tem + phosphate_star Atlantic (28.15,28.2] -0.8005647 -0.8490850 -0.7669280
tem + phosphate_star Atlantic (28.2, Inf] -0.1925327 -0.2571813 -0.0718525
tem + phosphate_star Indo-Pacific (-Inf,26] -0.7540888 -0.8503201 -0.6204642
tem + phosphate_star Indo-Pacific (26,26.5] -0.7929857 -0.8976518 -0.6806718
tem + phosphate_star Indo-Pacific (26.5,26.75] -0.8445253 -0.9259575 -0.7423072
tem + phosphate_star Indo-Pacific (26.75,27] -0.9204175 -0.9573264 -0.8688853
tem + phosphate_star Indo-Pacific (27,27.25] -0.8934963 -0.9252503 -0.8726119
tem + phosphate_star Indo-Pacific (27.25,27.5] -0.6802083 -0.8288000 -0.4916794
tem + phosphate_star Indo-Pacific (27.5,27.75] -0.1762512 -0.7244823 0.4188471
tem + phosphate_star Indo-Pacific (27.75,27.85] -0.3964025 -0.6923159 0.0237091
tem + phosphate_star Indo-Pacific (27.85,27.95] -0.5690461 -0.6941962 -0.3599568
tem + phosphate_star Indo-Pacific (27.95,28.05] -0.7548891 -0.8238811 -0.7010646
tem + phosphate_star Indo-Pacific (28.05,28.1] -0.6505282 -0.6579925 -0.6376575
tem + phosphate_star Indo-Pacific (28.1, Inf] -0.8973143 -0.9115265 -0.8788281
tem + silicate Atlantic (-Inf,26] -0.6230928 -0.6718444 -0.5464948
tem + silicate Atlantic (26,26.5] -0.7652460 -0.9296278 -0.6635388
tem + silicate Atlantic (26.5,26.75] -0.7323986 -0.7927871 -0.6874118
tem + silicate Atlantic (26.75,27] -0.6065602 -0.6470955 -0.5749945
tem + silicate Atlantic (27,27.25] -0.7104163 -0.7777649 -0.6348701
tem + silicate Atlantic (27.25,27.5] -0.8351492 -0.8493795 -0.8177976
tem + silicate Atlantic (27.5,27.75] -0.7730139 -0.8055150 -0.7324025
tem + silicate Atlantic (27.75,27.85] -0.6633649 -0.7287202 -0.5513608
tem + silicate Atlantic (27.85,27.95] -0.5654629 -0.6734617 -0.4294354
tem + silicate Atlantic (27.95,28.05] -0.6842022 -0.7540998 -0.6334315
tem + silicate Atlantic (28.05,28.1] -0.7354284 -0.7507584 -0.7121234
tem + silicate Atlantic (28.1,28.15] -0.7303967 -0.7897774 -0.6564134
tem + silicate Atlantic (28.15,28.2] -0.7322707 -0.8535143 -0.5860886
tem + silicate Atlantic (28.2, Inf] 0.1243344 0.1029516 0.1585589
tem + silicate Indo-Pacific (-Inf,26] -0.5886942 -0.7304072 -0.4134355
tem + silicate Indo-Pacific (26,26.5] -0.5983581 -0.7056902 -0.4414641
tem + silicate Indo-Pacific (26.5,26.75] -0.6559000 -0.7986972 -0.5116111
tem + silicate Indo-Pacific (26.75,27] -0.6665375 -0.7555756 -0.5235363
tem + silicate Indo-Pacific (27,27.25] -0.4712380 -0.6110042 -0.2773684
tem + silicate Indo-Pacific (27.25,27.5] -0.1840683 -0.2617215 -0.0358741
tem + silicate Indo-Pacific (27.5,27.75] 0.0881966 -0.0312878 0.3061405
tem + silicate Indo-Pacific (27.75,27.85] -0.1004087 -0.2527401 0.0842936
tem + silicate Indo-Pacific (27.85,27.95] -0.1394052 -0.3099374 0.0038046
tem + silicate Indo-Pacific (27.95,28.05] -0.0507047 -0.0768128 -0.0315407
tem + silicate Indo-Pacific (28.05,28.1] 0.1386817 0.1292542 0.1490437
tem + silicate Indo-Pacific (28.1, Inf] 0.3792725 0.3609592 0.3969086
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_cstar_predictor <- cor_cstar_predictor %>% 
  rename(predictor = term)

cor_cstar_predictor_stats <- cor_cstar_predictor %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise(mean_r = mean(cstar),
            min_r = min(cstar),
            max_r = max(cstar)) %>% 
  ungroup()

cor_cstar_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
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
kable(cor_cstar_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] 0.4686015 0.3758648 0.5237300
aou Atlantic (26,26.5] -0.0238542 -0.0912276 0.0959569
aou Atlantic (26.5,26.75] -0.3814210 -0.3976381 -0.3533363
aou Atlantic (26.75,27] -0.3116891 -0.3576037 -0.2532958
aou Atlantic (27,27.25] -0.4721129 -0.6198640 -0.2770729
aou Atlantic (27.25,27.5] -0.4466411 -0.5127695 -0.3595641
aou Atlantic (27.5,27.75] -0.7760517 -0.8593442 -0.7140671
aou Atlantic (27.75,27.85] -0.8950285 -0.9258280 -0.8715363
aou Atlantic (27.85,27.95] -0.9111488 -0.9323288 -0.8964384
aou Atlantic (27.95,28.05] -0.8593045 -0.8752336 -0.8469078
aou Atlantic (28.05,28.1] -0.8220034 -0.8398537 -0.8052497
aou Atlantic (28.1,28.15] -0.8428090 -0.8980426 -0.7798860
aou Atlantic (28.15,28.2] -0.9416928 -0.9744648 -0.9252626
aou Atlantic (28.2, Inf] -0.1411829 -0.3336760 0.0052367
aou Indo-Pacific (-Inf,26] -0.1382653 -0.2783955 -0.0315168
aou Indo-Pacific (26,26.5] -0.5250038 -0.7507750 -0.1102068
aou Indo-Pacific (26.5,26.75] -0.5432313 -0.7514336 -0.1594637
aou Indo-Pacific (26.75,27] -0.5761709 -0.8005131 -0.2233705
aou Indo-Pacific (27,27.25] 0.0509554 -0.0545718 0.1198831
aou Indo-Pacific (27.25,27.5] 0.5453521 0.4677357 0.6283904
aou Indo-Pacific (27.5,27.75] 0.6714644 0.5225796 0.7666926
aou Indo-Pacific (27.75,27.85] 0.7537788 0.6443839 0.8171578
aou Indo-Pacific (27.85,27.95] 0.6983812 0.5709930 0.7872498
aou Indo-Pacific (27.95,28.05] 0.4764861 0.3346340 0.6281160
aou Indo-Pacific (28.05,28.1] 0.2426799 0.1657333 0.3556117
aou Indo-Pacific (28.1, Inf] 0.3335339 0.1621729 0.6200479
oxygen Atlantic (-Inf,26] -0.4461057 -0.5152549 -0.3332449
oxygen Atlantic (26,26.5] -0.3673889 -0.4798078 -0.2387010
oxygen Atlantic (26.5,26.75] 0.1368848 0.0657956 0.2166725
oxygen Atlantic (26.75,27] 0.1334787 0.0821804 0.1653590
oxygen Atlantic (27,27.25] 0.2899213 0.1009352 0.4687894
oxygen Atlantic (27.25,27.5] 0.1327003 0.0484999 0.2312987
oxygen Atlantic (27.5,27.75] 0.5092974 0.3900502 0.7165556
oxygen Atlantic (27.75,27.85] 0.7892583 0.7093917 0.8788023
oxygen Atlantic (27.85,27.95] 0.8766354 0.8459572 0.9227814
oxygen Atlantic (27.95,28.05] 0.8395360 0.8074808 0.8560971
oxygen Atlantic (28.05,28.1] 0.7978528 0.7572870 0.8230974
oxygen Atlantic (28.1,28.15] 0.8279459 0.7880144 0.8836974
oxygen Atlantic (28.15,28.2] 0.9335385 0.8894479 0.9786289
oxygen Atlantic (28.2, Inf] -0.0395609 -0.1497587 0.1067514
oxygen Indo-Pacific (-Inf,26] 0.2378726 0.1410300 0.3265453
oxygen Indo-Pacific (26,26.5] 0.4523044 0.0855242 0.6732935
oxygen Indo-Pacific (26.5,26.75] 0.4643896 0.1169222 0.6466061
oxygen Indo-Pacific (26.75,27] 0.5069750 0.1646926 0.7446917
oxygen Indo-Pacific (27,27.25] -0.0366716 -0.1171277 0.0965556
oxygen Indo-Pacific (27.25,27.5] -0.5033956 -0.5935631 -0.4290736
oxygen Indo-Pacific (27.5,27.75] -0.6278099 -0.7335493 -0.4645782
oxygen Indo-Pacific (27.75,27.85] -0.7225630 -0.8009971 -0.5877807
oxygen Indo-Pacific (27.85,27.95] -0.6758223 -0.7749045 -0.5321934
oxygen Indo-Pacific (27.95,28.05] -0.4701405 -0.6214411 -0.3234238
oxygen Indo-Pacific (28.05,28.1] -0.2548842 -0.3630935 -0.1825705
oxygen Indo-Pacific (28.1, Inf] -0.3557169 -0.6451130 -0.1771770
phosphate Atlantic (-Inf,26] -0.0840576 -0.1607125 0.0456688
phosphate Atlantic (26,26.5] -0.6370624 -0.7168149 -0.5492498
phosphate Atlantic (26.5,26.75] -0.7124464 -0.7575057 -0.6793377
phosphate Atlantic (26.75,27] -0.7040561 -0.7656767 -0.6577733
phosphate Atlantic (27,27.25] -0.8411448 -0.9012592 -0.7354642
phosphate Atlantic (27.25,27.5] -0.9270852 -0.9530286 -0.9060917
phosphate Atlantic (27.5,27.75] -0.9776648 -0.9844685 -0.9706041
phosphate Atlantic (27.75,27.85] -0.9625368 -0.9731885 -0.9439661
phosphate Atlantic (27.85,27.95] -0.9359570 -0.9436485 -0.9213626
phosphate Atlantic (27.95,28.05] -0.8982697 -0.9234074 -0.8580367
phosphate Atlantic (28.05,28.1] -0.8718418 -0.9015077 -0.8244016
phosphate Atlantic (28.1,28.15] -0.8826045 -0.9365202 -0.8089602
phosphate Atlantic (28.15,28.2] -0.9719371 -0.9849275 -0.9501365
phosphate Atlantic (28.2, Inf] -0.7970009 -0.8675442 -0.7399437
phosphate Indo-Pacific (-Inf,26] -0.1759309 -0.3612491 -0.0527191
phosphate Indo-Pacific (26,26.5] -0.7048772 -0.8614606 -0.4067277
phosphate Indo-Pacific (26.5,26.75] -0.7377426 -0.8886078 -0.4625673
phosphate Indo-Pacific (26.75,27] -0.7358137 -0.8814769 -0.4754844
phosphate Indo-Pacific (27,27.25] -0.0580765 -0.1025911 -0.0243517
phosphate Indo-Pacific (27.25,27.5] 0.4290083 0.2773854 0.5576838
phosphate Indo-Pacific (27.5,27.75] 0.5295305 0.2766479 0.6876899
phosphate Indo-Pacific (27.75,27.85] 0.6722607 0.5501010 0.7415320
phosphate Indo-Pacific (27.85,27.95] 0.6062088 0.4526489 0.7212963
phosphate Indo-Pacific (27.95,28.05] 0.3440109 0.1625655 0.5500343
phosphate Indo-Pacific (28.05,28.1] 0.0737330 -0.0304147 0.2584838
phosphate Indo-Pacific (28.1, Inf] -0.0113759 -0.2126390 0.3131144
phosphate_star Atlantic (-Inf,26] -0.3365071 -0.4772496 -0.2208974
phosphate_star Atlantic (26,26.5] -0.7889922 -0.8466635 -0.7434608
phosphate_star Atlantic (26.5,26.75] -0.8432205 -0.8809542 -0.8156687
phosphate_star Atlantic (26.75,27] -0.9253135 -0.9327764 -0.9162893
phosphate_star Atlantic (27,27.25] -0.9441362 -0.9637161 -0.9210620
phosphate_star Atlantic (27.25,27.5] -0.9459880 -0.9704830 -0.9159296
phosphate_star Atlantic (27.5,27.75] -0.9191476 -0.9595340 -0.8629154
phosphate_star Atlantic (27.75,27.85] -0.8643912 -0.9211122 -0.7866358
phosphate_star Atlantic (27.85,27.95] -0.7603049 -0.8236787 -0.6335965
phosphate_star Atlantic (27.95,28.05] -0.8210646 -0.8531023 -0.7846653
phosphate_star Atlantic (28.05,28.1] -0.8453182 -0.8893107 -0.8002559
phosphate_star Atlantic (28.1,28.15] -0.8673456 -0.9290230 -0.7943156
phosphate_star Atlantic (28.15,28.2] -0.9682974 -0.9846536 -0.9516911
phosphate_star Atlantic (28.2, Inf] -0.8277291 -0.8645916 -0.7914870
phosphate_star Indo-Pacific (-Inf,26] -0.0847102 -0.3066874 0.0326508
phosphate_star Indo-Pacific (26,26.5] -0.7934826 -0.8494341 -0.7243226
phosphate_star Indo-Pacific (26.5,26.75] -0.7909316 -0.8823254 -0.6872657
phosphate_star Indo-Pacific (26.75,27] -0.7158091 -0.8097735 -0.6315915
phosphate_star Indo-Pacific (27,27.25] -0.2461400 -0.3843051 -0.0454747
phosphate_star Indo-Pacific (27.25,27.5] -0.3726010 -0.4508896 -0.3268857
phosphate_star Indo-Pacific (27.5,27.75] -0.5767051 -0.6488416 -0.5210505
phosphate_star Indo-Pacific (27.75,27.85] -0.5496940 -0.7460748 -0.3486994
phosphate_star Indo-Pacific (27.85,27.95] -0.3401875 -0.3654901 -0.2910337
phosphate_star Indo-Pacific (27.95,28.05] -0.2629461 -0.3193513 -0.1550260
phosphate_star Indo-Pacific (28.05,28.1] -0.3416211 -0.4637699 -0.1659551
phosphate_star Indo-Pacific (28.1, Inf] -0.5053000 -0.6569167 -0.3897641
sal Atlantic (-Inf,26] 0.2434077 0.1352418 0.3109053
sal Atlantic (26,26.5] 0.7516930 0.6616138 0.8274565
sal Atlantic (26.5,26.75] 0.8105259 0.7818810 0.8665521
sal Atlantic (26.75,27] 0.8931122 0.8859745 0.9063317
sal Atlantic (27,27.25] 0.9178214 0.8862671 0.9402941
sal Atlantic (27.25,27.5] 0.9095979 0.8661366 0.9401206
sal Atlantic (27.5,27.75] 0.7850407 0.6656736 0.8752701
sal Atlantic (27.75,27.85] 0.5769522 0.3550220 0.7262648
sal Atlantic (27.85,27.95] 0.3411512 0.0737345 0.4793483
sal Atlantic (27.95,28.05] 0.4078089 0.2219974 0.6145105
sal Atlantic (28.05,28.1] 0.6033762 0.4765425 0.6706340
sal Atlantic (28.1,28.15] 0.7088722 0.5709423 0.8050573
sal Atlantic (28.15,28.2] 0.8972193 0.8501687 0.9481195
sal Atlantic (28.2, Inf] 0.7251924 0.6710890 0.8057282
sal Indo-Pacific (-Inf,26] 0.0307855 0.0152163 0.0463249
sal Indo-Pacific (26,26.5] 0.3926009 0.2005619 0.6407816
sal Indo-Pacific (26.5,26.75] 0.4383299 0.2821980 0.7262164
sal Indo-Pacific (26.75,27] 0.4280943 0.2897124 0.6434037
sal Indo-Pacific (27,27.25] -0.2068273 -0.4603337 -0.0438827
sal Indo-Pacific (27.25,27.5] -0.3160707 -0.5465326 -0.0608239
sal Indo-Pacific (27.5,27.75] -0.2552544 -0.3832827 -0.1471235
sal Indo-Pacific (27.75,27.85] -0.3966354 -0.5423287 -0.3059582
sal Indo-Pacific (27.85,27.95] -0.3757226 -0.5576714 -0.2570448
sal Indo-Pacific (27.95,28.05] -0.1064808 -0.1934137 -0.0184740
sal Indo-Pacific (28.05,28.1] 0.0403392 -0.1026092 0.1390453
sal Indo-Pacific (28.1, Inf] 0.2764634 0.2378425 0.3291079
silicate Atlantic (-Inf,26] -0.0836293 -0.1469742 -0.0423791
silicate Atlantic (26,26.5] -0.6025735 -0.7252526 -0.5030870
silicate Atlantic (26.5,26.75] -0.6499270 -0.7315651 -0.5969908
silicate Atlantic (26.75,27] -0.6278419 -0.6699241 -0.5645754
silicate Atlantic (27,27.25] -0.8236301 -0.8572616 -0.7708353
silicate Atlantic (27.25,27.5] -0.8921067 -0.9115857 -0.8787199
silicate Atlantic (27.5,27.75] -0.8797715 -0.8852738 -0.8716648
silicate Atlantic (27.75,27.85] -0.8769899 -0.9021285 -0.8442334
silicate Atlantic (27.85,27.95] -0.8587454 -0.8794886 -0.8292140
silicate Atlantic (27.95,28.05] -0.8331761 -0.8644592 -0.7740827
silicate Atlantic (28.05,28.1] -0.8295128 -0.8564657 -0.7798665
silicate Atlantic (28.1,28.15] -0.8593517 -0.9172097 -0.7796723
silicate Atlantic (28.15,28.2] -0.9585391 -0.9809650 -0.9347381
silicate Atlantic (28.2, Inf] -0.6486370 -0.8543543 -0.5302830
silicate Indo-Pacific (-Inf,26] -0.2097335 -0.3742921 -0.1189833
silicate Indo-Pacific (26,26.5] -0.6063148 -0.7407982 -0.3723773
silicate Indo-Pacific (26.5,26.75] -0.6032537 -0.7683048 -0.4129028
silicate Indo-Pacific (26.75,27] -0.5620023 -0.6780051 -0.3896146
silicate Indo-Pacific (27,27.25] 0.2260990 0.1659841 0.2771802
silicate Indo-Pacific (27.25,27.5] 0.7131359 0.5680908 0.7858388
silicate Indo-Pacific (27.5,27.75] 0.7768394 0.6003659 0.8657989
silicate Indo-Pacific (27.75,27.85] 0.7914035 0.7029954 0.8479672
silicate Indo-Pacific (27.85,27.95] 0.6906386 0.5665736 0.7823103
silicate Indo-Pacific (27.95,28.05] 0.4442037 0.2944173 0.6142870
silicate Indo-Pacific (28.05,28.1] 0.1780402 0.1101977 0.3009932
silicate Indo-Pacific (28.1, Inf] 0.0235158 -0.0958094 0.2304059
tem Atlantic (-Inf,26] 0.0426696 -0.1680918 0.1942061
tem Atlantic (26,26.5] 0.7183769 0.6492625 0.7766190
tem Atlantic (26.5,26.75] 0.7963936 0.7582296 0.8409389
tem Atlantic (26.75,27] 0.8725453 0.8579283 0.8816114
tem Atlantic (27,27.25] 0.8970087 0.8839182 0.9098166
tem Atlantic (27.25,27.5] 0.8963916 0.8597862 0.9252306
tem Atlantic (27.5,27.75] 0.7507652 0.6082780 0.8589190
tem Atlantic (27.75,27.85] 0.5747651 0.3372374 0.7342175
tem Atlantic (27.85,27.95] 0.3345590 0.0705543 0.5059103
tem Atlantic (27.95,28.05] 0.4175278 0.2308762 0.5822631
tem Atlantic (28.05,28.1] 0.5010206 0.3756475 0.5733868
tem Atlantic (28.1,28.15] 0.5069425 0.2327004 0.6645601
tem Atlantic (28.15,28.2] 0.6655338 0.5955798 0.7592793
tem Atlantic (28.2, Inf] 0.5914440 0.5351359 0.6460908
tem Indo-Pacific (-Inf,26] -0.2692297 -0.3562734 -0.1956049
tem Indo-Pacific (26,26.5] 0.4022019 0.1575456 0.6299275
tem Indo-Pacific (26.5,26.75] 0.4391207 0.2980302 0.7065444
tem Indo-Pacific (26.75,27] 0.4677460 0.3522143 0.6647269
tem Indo-Pacific (27,27.25] -0.0983179 -0.3227083 0.0167166
tem Indo-Pacific (27.25,27.5] -0.2827865 -0.4768856 -0.0557243
tem Indo-Pacific (27.5,27.75] -0.2867489 -0.4409920 -0.1335722
tem Indo-Pacific (27.75,27.85] -0.3313868 -0.4824225 -0.2517408
tem Indo-Pacific (27.85,27.95] -0.2638503 -0.4042711 -0.1527837
tem Indo-Pacific (27.95,28.05] 0.0220955 -0.0171016 0.0430601
tem Indo-Pacific (28.05,28.1] 0.1610293 0.1586207 0.1647376
tem Indo-Pacific (28.1, Inf] 0.3712365 0.1682636 0.6742393
rm(cor_cstar_predictor, cor_cstar_predictor_stats)

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.0  collapse_1.4.2   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_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_0.4.9             
[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_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_0.10.1.2.0 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