Last updated: 2020-12-07

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.


Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Great job! Recording the operating system, R version, and package versions is critical for reproducibility.

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

Great job! Using relative paths to the files within your workflowr project makes it easier to run your code on other machines.

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version 33b1973. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:


Ignored files:
    Ignored:    .Rhistory
    Ignored:    .Rproj.user/

Unstaged changes:
    Modified:   code/Workflowr_project_managment.R
    Modified:   data/auxillary/params_local.rds

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.


These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_assumption_testing.Rmd) and HTML (docs/eMLR_assumption_testing.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File Version Author Date Message
Rmd 33b1973 jens-daniel-mueller 2020-12-07 run with WOCE flag 2 only
html abc6818 jens-daniel-mueller 2020-12-03 Build site.
Rmd 992ba15 jens-daniel-mueller 2020-12-03 rebuild with variable inventory depth
html c8c2e7b jens-daniel-mueller 2020-12-03 Build site.
Rmd 83203db jens-daniel-mueller 2020-12-03 calculate cant with variable inventory depth
html 090e4d5 jens-daniel-mueller 2020-12-02 Build site.
html 7c25f7a jens-daniel-mueller 2020-12-02 Build site.
html ec8dc38 jens-daniel-mueller 2020-12-02 Build site.
html c987de1 jens-daniel-mueller 2020-12-02 Build site.
html f8358f8 jens-daniel-mueller 2020-12-02 Build site.
html b03ddb8 jens-daniel-mueller 2020-12-02 Build site.
Rmd 9183e8f jens-daniel-mueller 2020-12-02 revised assignment of era to eras
html 22d0127 jens-daniel-mueller 2020-12-01 Build site.
html 0ff728b jens-daniel-mueller 2020-12-01 Build site.
html 91435ae jens-daniel-mueller 2020-12-01 Build site.
Rmd 17d09be jens-daniel-mueller 2020-12-01 auto eras naming
html cf19652 jens-daniel-mueller 2020-11-30 Build site.
Rmd 2842970 jens-daniel-mueller 2020-11-30 cleaned for eMLR part only
html 196be51 jens-daniel-mueller 2020-11-30 Build site.
Rmd 7a4b015 jens-daniel-mueller 2020-11-30 first rebuild on ETH server
Rmd bc61ce3 Jens Müller 2020-11-30 Initial commit
html bc61ce3 Jens Müller 2020-11-30 Initial commit

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
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
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
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] -0.8687303 -0.9540278 -0.7550657
aou + oxygen Atlantic (26,26.5] -0.8958071 -0.9135882 -0.8626230
aou + oxygen Atlantic (26.5,26.75] -0.9717431 -0.9853712 -0.9544574
aou + oxygen Atlantic (26.75,27] -0.9815263 -0.9925280 -0.9719871
aou + oxygen Atlantic (27,27.25] -0.9775222 -0.9875749 -0.9658286
aou + oxygen Atlantic (27.25,27.5] -0.9588029 -0.9707657 -0.9414498
aou + oxygen Atlantic (27.5,27.75] -0.9474142 -0.9777446 -0.9108303
aou + oxygen Atlantic (27.75,27.85] -0.9816315 -0.9875873 -0.9759620
aou + oxygen Atlantic (27.85,27.95] -0.9904911 -0.9945123 -0.9872231
aou + oxygen Atlantic (27.95,28.05] -0.9890465 -0.9924540 -0.9824897
aou + oxygen Atlantic (28.05,28.1] -0.9893067 -0.9952334 -0.9808105
aou + oxygen Atlantic (28.1,28.15] -0.9933557 -0.9941155 -0.9919293
aou + oxygen Atlantic (28.15,28.2] -0.9980122 -0.9988974 -0.9968722
aou + oxygen Atlantic (28.2, Inf] -0.9841869 -0.9901176 -0.9756348
aou + oxygen Indo-Pacific (-Inf,26] -0.9236148 -0.9668809 -0.8971856
aou + oxygen Indo-Pacific (26,26.5] -0.9810652 -0.9846582 -0.9742491
aou + oxygen Indo-Pacific (26.5,26.75] -0.9854063 -0.9883344 -0.9822444
aou + oxygen Indo-Pacific (26.75,27] -0.9839516 -0.9852750 -0.9831574
aou + oxygen Indo-Pacific (27,27.25] -0.9884908 -0.9928848 -0.9798444
aou + oxygen Indo-Pacific (27.25,27.5] -0.9912564 -0.9952681 -0.9836197
aou + oxygen Indo-Pacific (27.5,27.75] -0.9906710 -0.9938376 -0.9850839
aou + oxygen Indo-Pacific (27.75,27.85] -0.9959376 -0.9989585 -0.9919032
aou + oxygen Indo-Pacific (27.85,27.95] -0.9964309 -0.9987360 -0.9942107
aou + oxygen Indo-Pacific (27.95,28.05] -0.9948101 -0.9960379 -0.9932059
aou + oxygen Indo-Pacific (28.05,28.1] -0.9950151 -0.9957936 -0.9939443
aou + oxygen Indo-Pacific (28.1, Inf] -0.9912356 -0.9925826 -0.9888798
aou + phosphate Atlantic (-Inf,26] 0.4879434 0.3638387 0.7355403
aou + phosphate Atlantic (26,26.5] 0.7749789 0.6463481 0.9141044
aou + phosphate Atlantic (26.5,26.75] 0.8882403 0.8466854 0.9234615
aou + phosphate Atlantic (26.75,27] 0.8763633 0.8327782 0.9270634
aou + phosphate Atlantic (27,27.25] 0.8120709 0.7315089 0.8562984
aou + phosphate Atlantic (27.25,27.5] 0.7181380 0.6597371 0.8059056
aou + phosphate Atlantic (27.5,27.75] 0.8670587 0.8080493 0.9213419
aou + phosphate Atlantic (27.75,27.85] 0.9539870 0.9388250 0.9689306
aou + phosphate Atlantic (27.85,27.95] 0.9600052 0.9510758 0.9676812
aou + phosphate Atlantic (27.95,28.05] 0.9630981 0.9496557 0.9836725
aou + phosphate Atlantic (28.05,28.1] 0.9692572 0.9494821 0.9907812
aou + phosphate Atlantic (28.1,28.15] 0.9786238 0.9766721 0.9823565
aou + phosphate Atlantic (28.15,28.2] 0.9915664 0.9871336 0.9944703
aou + phosphate Atlantic (28.2, Inf] 0.8645448 0.7669270 0.9476150
aou + phosphate Indo-Pacific (-Inf,26] 0.9431948 0.9131668 0.9697657
aou + phosphate Indo-Pacific (26,26.5] 0.9555529 0.9498631 0.9639828
aou + phosphate Indo-Pacific (26.5,26.75] 0.9519524 0.9393064 0.9641166
aou + phosphate Indo-Pacific (26.75,27] 0.9504802 0.9461897 0.9538332
aou + phosphate Indo-Pacific (27,27.25] 0.9656590 0.9474803 0.9794664
aou + phosphate Indo-Pacific (27.25,27.5] 0.9665270 0.9520615 0.9786942
aou + phosphate Indo-Pacific (27.5,27.75] 0.9572697 0.9503456 0.9610791
aou + phosphate Indo-Pacific (27.75,27.85] 0.9822038 0.9736000 0.9883639
aou + phosphate Indo-Pacific (27.85,27.95] 0.9793719 0.9702859 0.9885370
aou + phosphate Indo-Pacific (27.95,28.05] 0.9656746 0.9562767 0.9738306
aou + phosphate Indo-Pacific (28.05,28.1] 0.9524737 0.9428291 0.9652293
aou + phosphate Indo-Pacific (28.1, Inf] 0.7758206 0.7281483 0.8227469
aou + phosphate_star Atlantic (-Inf,26] 0.0210089 -0.3966693 0.3939762
aou + phosphate_star Atlantic (26,26.5] 0.4378950 0.1450831 0.7973664
aou + phosphate_star Atlantic (26.5,26.75] 0.4654687 0.3786756 0.6016961
aou + phosphate_star Atlantic (26.75,27] 0.1915801 0.0948084 0.2561542
aou + phosphate_star Atlantic (27,27.25] 0.0903648 -0.0375423 0.2499636
aou + phosphate_star Atlantic (27.25,27.5] 0.1088354 -0.0631336 0.3017782
aou + phosphate_star Atlantic (27.5,27.75] 0.5895474 0.4958990 0.6796607
aou + phosphate_star Atlantic (27.75,27.85] 0.7857022 0.7337805 0.8302833
aou + phosphate_star Atlantic (27.85,27.95] 0.7335500 0.7099333 0.7598611
aou + phosphate_star Atlantic (27.95,28.05] 0.8170867 0.7413467 0.9224381
aou + phosphate_star Atlantic (28.05,28.1] 0.8837144 0.8205089 0.9665203
aou + phosphate_star Atlantic (28.1,28.15] 0.9177330 0.9064111 0.9326315
aou + phosphate_star Atlantic (28.15,28.2] 0.9727524 0.9548455 0.9848581
aou + phosphate_star Atlantic (28.2, Inf] 0.6250540 0.3610098 0.8429139
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6702530 0.5329015 0.7560289
aou + phosphate_star Indo-Pacific (26,26.5] 0.5845167 0.5240940 0.6225642
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4293793 0.1715444 0.5835142
aou + phosphate_star Indo-Pacific (26.75,27] 0.3834126 0.3171999 0.4769909
aou + phosphate_star Indo-Pacific (27,27.25] 0.1505914 0.0559173 0.2370912
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.3701667 -0.3896454 -0.3512955
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.2963040 -0.4968851 0.0532720
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.4774581 -0.6105114 -0.3604524
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.1004784 -0.1609859 -0.0165414
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.1874970 0.0569780 0.3114100
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.3320223 0.2681154 0.4438199
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.6360652 -0.6853217 -0.5679566
aou + silicate Atlantic (-Inf,26] 0.2705489 0.0921457 0.4890832
aou + silicate Atlantic (26,26.5] 0.6851997 0.6002771 0.7731182
aou + silicate Atlantic (26.5,26.75] 0.8882330 0.8630962 0.9228433
aou + silicate Atlantic (26.75,27] 0.8769238 0.8585212 0.8975498
aou + silicate Atlantic (27,27.25] 0.7459750 0.7001785 0.8266663
aou + silicate Atlantic (27.25,27.5] 0.4470373 0.2157978 0.6798948
aou + silicate Atlantic (27.5,27.75] 0.6448690 0.5824884 0.7052496
aou + silicate Atlantic (27.75,27.85] 0.8572529 0.8440302 0.8739055
aou + silicate Atlantic (27.85,27.95] 0.9001815 0.8939391 0.9094771
aou + silicate Atlantic (27.95,28.05] 0.9445073 0.9339744 0.9587778
aou + silicate Atlantic (28.05,28.1] 0.9709251 0.9572923 0.9871131
aou + silicate Atlantic (28.1,28.15] 0.9748513 0.9722655 0.9781175
aou + silicate Atlantic (28.15,28.2] 0.9910322 0.9856645 0.9942627
aou + silicate Atlantic (28.2, Inf] 0.8870475 0.8456145 0.9335909
aou + silicate Indo-Pacific (-Inf,26] 0.7343970 0.6592850 0.8060948
aou + silicate Indo-Pacific (26,26.5] 0.6588819 0.5417991 0.7588583
aou + silicate Indo-Pacific (26.5,26.75] 0.6184447 0.4121145 0.7423827
aou + silicate Indo-Pacific (26.75,27] 0.7509249 0.6951355 0.7810521
aou + silicate Indo-Pacific (27,27.25] 0.8627893 0.8037163 0.9079963
aou + silicate Indo-Pacific (27.25,27.5] 0.8991978 0.8521049 0.9374566
aou + silicate Indo-Pacific (27.5,27.75] 0.9197478 0.8664890 0.9506921
aou + silicate Indo-Pacific (27.75,27.85] 0.9666585 0.9508782 0.9761360
aou + silicate Indo-Pacific (27.85,27.95] 0.9632442 0.9533258 0.9701650
aou + silicate Indo-Pacific (27.95,28.05] 0.9480373 0.9409039 0.9525095
aou + silicate Indo-Pacific (28.05,28.1] 0.9465603 0.9451361 0.9490875
aou + silicate Indo-Pacific (28.1, Inf] 0.6408298 0.5433113 0.6934077
oxygen + phosphate Atlantic (-Inf,26] -0.1874381 -0.4731505 0.0641100
oxygen + phosphate Atlantic (26,26.5] -0.4598733 -0.6340318 -0.2902656
oxygen + phosphate Atlantic (26.5,26.75] -0.7626385 -0.8189957 -0.6525894
oxygen + phosphate Atlantic (26.75,27] -0.7716408 -0.8769159 -0.6815258
oxygen + phosphate Atlantic (27,27.25] -0.6751619 -0.7574642 -0.5330688
oxygen + phosphate Atlantic (27.25,27.5] -0.5006513 -0.6237929 -0.3738668
oxygen + phosphate Atlantic (27.5,27.75] -0.6839787 -0.8391888 -0.5138961
oxygen + phosphate Atlantic (27.75,27.85] -0.8866069 -0.9280086 -0.8476119
oxygen + phosphate Atlantic (27.85,27.95] -0.9185504 -0.9435316 -0.8956099
oxygen + phosphate Atlantic (27.95,28.05] -0.9261209 -0.9647496 -0.8843096
oxygen + phosphate Atlantic (28.05,28.1] -0.9336396 -0.9822157 -0.8785800
oxygen + phosphate Atlantic (28.1,28.15] -0.9553483 -0.9641119 -0.9466491
oxygen + phosphate Atlantic (28.15,28.2] -0.9872969 -0.9941651 -0.9763915
oxygen + phosphate Atlantic (28.2, Inf] -0.7871389 -0.9065604 -0.6461517
oxygen + phosphate Indo-Pacific (-Inf,26] -0.7931920 -0.9144517 -0.7022448
oxygen + phosphate Indo-Pacific (26,26.5] -0.8870983 -0.9080349 -0.8614787
oxygen + phosphate Indo-Pacific (26.5,26.75] -0.8910195 -0.9174821 -0.8726075
oxygen + phosphate Indo-Pacific (26.75,27] -0.8842485 -0.8893575 -0.8750119
oxygen + phosphate Indo-Pacific (27,27.25] -0.9223297 -0.9555708 -0.8732571
oxygen + phosphate Indo-Pacific (27.25,27.5] -0.9395039 -0.9631710 -0.8950246
oxygen + phosphate Indo-Pacific (27.5,27.75] -0.9521053 -0.9704333 -0.9221370
oxygen + phosphate Indo-Pacific (27.75,27.85] -0.9749853 -0.9887694 -0.9585316
oxygen + phosphate Indo-Pacific (27.85,27.95] -0.9700468 -0.9861239 -0.9569688
oxygen + phosphate Indo-Pacific (27.95,28.05] -0.9428219 -0.9544670 -0.9292289
oxygen + phosphate Indo-Pacific (28.05,28.1] -0.9251182 -0.9410242 -0.9151456
oxygen + phosphate Indo-Pacific (28.1, Inf] -0.6984267 -0.7538041 -0.6364461
oxygen + phosphate_star Atlantic (-Inf,26] 0.3221396 -0.0459767 0.6008207
oxygen + phosphate_star Atlantic (26,26.5] -0.0470790 -0.4264965 0.2632510
oxygen + phosphate_star Atlantic (26.5,26.75] -0.2577673 -0.4142218 -0.1289918
oxygen + phosphate_star Atlantic (26.75,27] -0.0099252 -0.0289540 0.0233001
oxygen + phosphate_star Atlantic (27,27.25] 0.1133845 -0.0497209 0.1990768
oxygen + phosphate_star Atlantic (27.25,27.5] 0.1661635 -0.0419290 0.2923068
oxygen + phosphate_star Atlantic (27.5,27.75] -0.3285641 -0.5349179 -0.1120780
oxygen + phosphate_star Atlantic (27.75,27.85] -0.6630184 -0.7457651 -0.5756590
oxygen + phosphate_star Atlantic (27.85,27.95] -0.6433959 -0.7005306 -0.6087767
oxygen + phosphate_star Atlantic (27.95,28.05] -0.7441202 -0.8819436 -0.6708335
oxygen + phosphate_star Atlantic (28.05,28.1] -0.8208825 -0.9487435 -0.7033914
oxygen + phosphate_star Atlantic (28.1,28.15] -0.8751827 -0.8983426 -0.8618376
oxygen + phosphate_star Atlantic (28.15,28.2] -0.9643388 -0.9835994 -0.9351440
oxygen + phosphate_star Atlantic (28.2, Inf] -0.5102778 -0.7758158 -0.1900242
oxygen + phosphate_star Indo-Pacific (-Inf,26] -0.3871488 -0.6082909 -0.1561544
oxygen + phosphate_star Indo-Pacific (26,26.5] -0.4269803 -0.4658959 -0.3769321
oxygen + phosphate_star Indo-Pacific (26.5,26.75] -0.2808875 -0.4270974 -0.0094727
oxygen + phosphate_star Indo-Pacific (26.75,27] -0.2195173 -0.3137640 -0.1571791
oxygen + phosphate_star Indo-Pacific (27,27.25] -0.0162830 -0.1348686 0.1335369
oxygen + phosphate_star Indo-Pacific (27.25,27.5] 0.4571403 0.3974966 0.5157307
oxygen + phosphate_star Indo-Pacific (27.5,27.75] 0.3207249 -0.1091433 0.6122944
oxygen + phosphate_star Indo-Pacific (27.75,27.85] 0.5181482 0.4360726 0.6144466
oxygen + phosphate_star Indo-Pacific (27.85,27.95] 0.1499677 0.0817794 0.2222235
oxygen + phosphate_star Indo-Pacific (27.95,28.05] -0.1060068 -0.2249667 0.0206735
oxygen + phosphate_star Indo-Pacific (28.05,28.1] -0.2518083 -0.3799361 -0.1720003
oxygen + phosphate_star Indo-Pacific (28.1, Inf] 0.7230243 0.6704327 0.7615958
oxygen + silicate Atlantic (-Inf,26] 0.0517028 -0.2444983 0.2547323
oxygen + silicate Atlantic (26,26.5] -0.3740529 -0.4412467 -0.2783589
oxygen + silicate Atlantic (26.5,26.75] -0.7814408 -0.8330358 -0.7197684
oxygen + silicate Atlantic (26.75,27] -0.7910368 -0.8552524 -0.7397416
oxygen + silicate Atlantic (27,27.25] -0.6113859 -0.7117302 -0.5273496
oxygen + silicate Atlantic (27.25,27.5] -0.2068792 -0.4809917 0.0030463
oxygen + silicate Atlantic (27.5,27.75] -0.4121145 -0.5679170 -0.2453254
oxygen + silicate Atlantic (27.75,27.85] -0.7608453 -0.8039428 -0.7371644
oxygen + silicate Atlantic (27.85,27.95] -0.8393933 -0.8683634 -0.8227654
oxygen + silicate Atlantic (27.95,28.05] -0.8928515 -0.9213483 -0.8576904
oxygen + silicate Atlantic (28.05,28.1] -0.9308558 -0.9704777 -0.8888078
oxygen + silicate Atlantic (28.1,28.15] -0.9480666 -0.9498980 -0.9460925
oxygen + silicate Atlantic (28.15,28.2] -0.9867501 -0.9917614 -0.9791862
oxygen + silicate Atlantic (28.2, Inf] -0.8120853 -0.8881395 -0.7331556
oxygen + silicate Indo-Pacific (-Inf,26] -0.5105834 -0.7072495 -0.3585169
oxygen + silicate Indo-Pacific (26,26.5] -0.5423056 -0.6682580 -0.4221230
oxygen + silicate Indo-Pacific (26.5,26.75] -0.5013361 -0.6519930 -0.2773198
oxygen + silicate Indo-Pacific (26.75,27] -0.6385171 -0.6736926 -0.5701055
oxygen + silicate Indo-Pacific (27,27.25] -0.7913210 -0.8596772 -0.6904301
oxygen + silicate Indo-Pacific (27.25,27.5] -0.8486711 -0.9067036 -0.7684755
oxygen + silicate Indo-Pacific (27.5,27.75] -0.8752931 -0.9218558 -0.7911157
oxygen + silicate Indo-Pacific (27.75,27.85] -0.9508457 -0.9721552 -0.9203932
oxygen + silicate Indo-Pacific (27.85,27.95] -0.9475271 -0.9632039 -0.9299267
oxygen + silicate Indo-Pacific (27.95,28.05] -0.9215335 -0.9298973 -0.9090872
oxygen + silicate Indo-Pacific (28.05,28.1] -0.9206127 -0.9214888 -0.9188974
oxygen + silicate Indo-Pacific (28.1, Inf] -0.5563454 -0.6235636 -0.4340063
phosphate + phosphate_star Atlantic (-Inf,26] 0.8451797 0.6978481 0.9358873
phosphate + phosphate_star Atlantic (26,26.5] 0.8989098 0.8467794 0.9698602
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8156605 0.7499166 0.8615046
phosphate + phosphate_star Atlantic (26.75,27] 0.6279157 0.4600811 0.7480208
phosphate + phosphate_star Atlantic (27,27.25] 0.6443993 0.4963605 0.7230152
phosphate + phosphate_star Atlantic (27.25,27.5] 0.7637285 0.6784083 0.8070573
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9093746 0.9083899 0.9100439
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9333905 0.9218153 0.9402784
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8924863 0.8752961 0.9047793
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9389509 0.9024697 0.9749010
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9700961 0.9574616 0.9912106
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9789645 0.9748533 0.9827341
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9941145 0.9895915 0.9973162
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9279901 0.8720873 0.9696368
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8621987 0.8128606 0.8962707
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.7942765 0.7552344 0.8338908
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6781088 0.4966662 0.8015763
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6477171 0.5913177 0.7342019
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.3925384 0.3662838 0.4209450
phosphate + phosphate_star Indo-Pacific (27.25,27.5] -0.1358574 -0.2023155 -0.0794665
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.0394134 -0.2587534 0.3458440
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.3207517 -0.4896367 -0.1615271
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.0882154 0.0203586 0.2109585
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.4268846 0.2785205 0.5690785
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.5969317 0.5227480 0.7135262
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.0144169 -0.1114904 0.1456032
sal + aou Atlantic (-Inf,26] -0.1560203 -0.4515416 0.3529102
sal + aou Atlantic (26,26.5] -0.3216673 -0.7540350 -0.0155298
sal + aou Atlantic (26.5,26.75] -0.2901068 -0.4727704 -0.0916656
sal + aou Atlantic (26.75,27] -0.1259663 -0.2101545 0.0047142
sal + aou Atlantic (27,27.25] -0.1008382 -0.3045530 0.0723922
sal + aou Atlantic (27.25,27.5] -0.0884235 -0.3192984 0.1479927
sal + aou Atlantic (27.5,27.75] -0.4965184 -0.6119305 -0.3893058
sal + aou Atlantic (27.75,27.85] -0.5516291 -0.6006082 -0.5165740
sal + aou Atlantic (27.85,27.95] -0.3919222 -0.4800940 -0.2625017
sal + aou Atlantic (27.95,28.05] -0.5385577 -0.7817031 -0.2080327
sal + aou Atlantic (28.05,28.1] -0.7476328 -0.8748602 -0.6687139
sal + aou Atlantic (28.1,28.15] -0.8160674 -0.8353245 -0.7877152
sal + aou Atlantic (28.15,28.2] -0.9519974 -0.9830836 -0.9108287
sal + aou Atlantic (28.2, Inf] -0.6561269 -0.8727438 -0.3871254
sal + aou Indo-Pacific (-Inf,26] -0.1028066 -0.1364360 -0.0356967
sal + aou Indo-Pacific (26,26.5] -0.0456868 -0.2487022 0.1363007
sal + aou Indo-Pacific (26.5,26.75] -0.0513716 -0.3695836 0.2632445
sal + aou Indo-Pacific (26.75,27] -0.1478807 -0.3507381 0.0462499
sal + aou Indo-Pacific (27,27.25] -0.0656728 -0.1830167 0.1640510
sal + aou Indo-Pacific (27.25,27.5] 0.1377868 0.0643601 0.2796906
sal + aou Indo-Pacific (27.5,27.75] 0.2892792 0.1361777 0.4871885
sal + aou Indo-Pacific (27.75,27.85] -0.1553880 -0.4051461 0.1020511
sal + aou Indo-Pacific (27.85,27.95] -0.3314646 -0.6462047 -0.1002795
sal + aou Indo-Pacific (27.95,28.05] -0.3194205 -0.3994562 -0.2255670
sal + aou Indo-Pacific (28.05,28.1] -0.3761933 -0.4618134 -0.2736674
sal + aou Indo-Pacific (28.1, Inf] 0.4355045 0.3285837 0.4898025
sal + oxygen Atlantic (-Inf,26] -0.2856136 -0.6048513 -0.0164741
sal + oxygen Atlantic (26,26.5] -0.0858237 -0.3879629 0.3368707
sal + oxygen Atlantic (26.5,26.75] 0.0706258 -0.0688608 0.2698227
sal + oxygen Atlantic (26.75,27] -0.0549420 -0.1214159 -0.0214718
sal + oxygen Atlantic (27,27.25] -0.0996559 -0.2229050 0.1096529
sal + oxygen Atlantic (27.25,27.5] -0.1808296 -0.3677478 0.0636062
sal + oxygen Atlantic (27.5,27.75] 0.2188568 -0.0089970 0.4481177
sal + oxygen Atlantic (27.75,27.85] 0.3896925 0.3241736 0.4742286
sal + oxygen Atlantic (27.85,27.95] 0.2746740 0.1320062 0.3976172
sal + oxygen Atlantic (27.95,28.05] 0.4381787 0.1145729 0.7153856
sal + oxygen Atlantic (28.05,28.1] 0.6537056 0.5529373 0.8292691
sal + oxygen Atlantic (28.1,28.15] 0.7472447 0.7192146 0.7613991
sal + oxygen Atlantic (28.15,28.2] 0.9332537 0.8785105 0.9747515
sal + oxygen Atlantic (28.2, Inf] 0.5428524 0.2097534 0.8087762
sal + oxygen Indo-Pacific (-Inf,26] -0.2029226 -0.3198738 -0.0832052
sal + oxygen Indo-Pacific (26,26.5] -0.1329090 -0.2895367 0.0353684
sal + oxygen Indo-Pacific (26.5,26.75] -0.1086865 -0.4162883 0.1921601
sal + oxygen Indo-Pacific (26.75,27] -0.0239663 -0.2121674 0.1778131
sal + oxygen Indo-Pacific (27,27.25] -0.0720507 -0.3519552 0.0715461
sal + oxygen Indo-Pacific (27.25,27.5] -0.2467897 -0.4392475 -0.1477670
sal + oxygen Indo-Pacific (27.5,27.75] -0.3955182 -0.5708843 -0.2232524
sal + oxygen Indo-Pacific (27.75,27.85] 0.0849028 -0.2197215 0.3778925
sal + oxygen Indo-Pacific (27.85,27.95] 0.2700414 0.0050849 0.6270072
sal + oxygen Indo-Pacific (27.95,28.05] 0.2380780 0.1258891 0.3337294
sal + oxygen Indo-Pacific (28.05,28.1] 0.2907049 0.1738094 0.3890872
sal + oxygen Indo-Pacific (28.1, Inf] -0.5264015 -0.5961645 -0.4176996
sal + phosphate Atlantic (-Inf,26] -0.6698466 -0.7883166 -0.5439051
sal + phosphate Atlantic (26,26.5] -0.8039752 -0.9106026 -0.7437080
sal + phosphate Atlantic (26.5,26.75] -0.6533322 -0.7647497 -0.4410535
sal + phosphate Atlantic (26.75,27] -0.5590702 -0.7075549 -0.3465049
sal + phosphate Atlantic (27,27.25] -0.6371833 -0.7448000 -0.4488195
sal + phosphate Atlantic (27.25,27.5] -0.7265103 -0.8077762 -0.5771611
sal + phosphate Atlantic (27.5,27.75] -0.8128455 -0.8197704 -0.8059725
sal + phosphate Atlantic (27.75,27.85] -0.7352378 -0.7469884 -0.7167584
sal + phosphate Atlantic (27.85,27.95] -0.5966605 -0.6549486 -0.4901354
sal + phosphate Atlantic (27.95,28.05] -0.6909925 -0.8394380 -0.4286564
sal + phosphate Atlantic (28.05,28.1] -0.8439826 -0.8975681 -0.7741389
sal + phosphate Atlantic (28.1,28.15] -0.8860518 -0.9142002 -0.8599477
sal + phosphate Atlantic (28.15,28.2] -0.9598880 -0.9794588 -0.9469772
sal + phosphate Atlantic (28.2, Inf] -0.9279161 -0.9784209 -0.8572342
sal + phosphate Indo-Pacific (-Inf,26] -0.2217034 -0.2531856 -0.2003472
sal + phosphate Indo-Pacific (26,26.5] -0.2771591 -0.4944647 -0.0980940
sal + phosphate Indo-Pacific (26.5,26.75] -0.3027139 -0.6034496 -0.0394193
sal + phosphate Indo-Pacific (26.75,27] -0.4023030 -0.6035248 -0.2171051
sal + phosphate Indo-Pacific (27,27.25] -0.2489821 -0.3545696 -0.0931353
sal + phosphate Indo-Pacific (27.25,27.5] 0.0385895 -0.0184517 0.0674829
sal + phosphate Indo-Pacific (27.5,27.75] 0.3256101 0.1069794 0.6706634
sal + phosphate Indo-Pacific (27.75,27.85] -0.1797546 -0.3793168 0.0529917
sal + phosphate Indo-Pacific (27.85,27.95] -0.3845980 -0.6588906 -0.1509727
sal + phosphate Indo-Pacific (27.95,28.05] -0.4744544 -0.5519050 -0.3736076
sal + phosphate Indo-Pacific (28.05,28.1] -0.5657076 -0.6348569 -0.5084983
sal + phosphate Indo-Pacific (28.1, Inf] -0.1012721 -0.1806100 -0.0278860
sal + phosphate_star Atlantic (-Inf,26] -0.8273494 -0.9019509 -0.7017069
sal + phosphate_star Atlantic (26,26.5] -0.9617136 -0.9654149 -0.9589304
sal + phosphate_star Atlantic (26.5,26.75] -0.9251420 -0.9791263 -0.8219973
sal + phosphate_star Atlantic (26.75,27] -0.9694051 -0.9860687 -0.9450099
sal + phosphate_star Atlantic (27,27.25] -0.9793813 -0.9837308 -0.9712125
sal + phosphate_star Atlantic (27.25,27.5] -0.9729141 -0.9845423 -0.9520575
sal + phosphate_star Atlantic (27.5,27.75] -0.9360936 -0.9521119 -0.9182178
sal + phosphate_star Atlantic (27.75,27.85] -0.8901248 -0.9143052 -0.8484042
sal + phosphate_star Atlantic (27.85,27.95] -0.8481291 -0.8723109 -0.8124961
sal + phosphate_star Atlantic (27.95,28.05] -0.8463317 -0.9228770 -0.7178354
sal + phosphate_star Atlantic (28.05,28.1] -0.9123488 -0.9462104 -0.8642807
sal + phosphate_star Atlantic (28.1,28.15] -0.9360975 -0.9606117 -0.9154061
sal + phosphate_star Atlantic (28.15,28.2] -0.9639167 -0.9761462 -0.9477647
sal + phosphate_star Atlantic (28.2, Inf] -0.9816125 -0.9940342 -0.9682433
sal + phosphate_star Indo-Pacific (-Inf,26] -0.5179156 -0.5396594 -0.5005142
sal + phosphate_star Indo-Pacific (26,26.5] -0.7239049 -0.8368819 -0.6202371
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8403141 -0.9176025 -0.7828784
sal + phosphate_star Indo-Pacific (26.75,27] -0.8894179 -0.9343594 -0.8431673
sal + phosphate_star Indo-Pacific (27,27.25] -0.8331463 -0.8615456 -0.7857501
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.5923856 -0.8520808 -0.3259006
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.1246985 -0.7611786 0.5427391
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.2765839 -0.5935319 0.2022713
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.4233257 -0.6182259 -0.1503686
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7630685 -0.8089409 -0.7050364
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8303841 -0.8838019 -0.7505711
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.8313706 -0.8563697 -0.8174712
sal + silicate Atlantic (-Inf,26] -0.7354155 -0.7544380 -0.7000186
sal + silicate Atlantic (26,26.5] -0.7648574 -0.9153686 -0.6830652
sal + silicate Atlantic (26.5,26.75] -0.5755451 -0.7013916 -0.3798612
sal + silicate Atlantic (26.75,27] -0.4462570 -0.5580767 -0.2557698
sal + silicate Atlantic (27,27.25] -0.6159279 -0.6804575 -0.5266697
sal + silicate Atlantic (27.25,27.5] -0.7774358 -0.8068009 -0.7430965
sal + silicate Atlantic (27.5,27.75] -0.8232830 -0.8515688 -0.7906118
sal + silicate Atlantic (27.75,27.85] -0.7935594 -0.8147856 -0.7800332
sal + silicate Atlantic (27.85,27.95] -0.6903805 -0.7295291 -0.6125805
sal + silicate Atlantic (27.95,28.05] -0.7306284 -0.8813418 -0.4822718
sal + silicate Atlantic (28.05,28.1] -0.8604018 -0.9215330 -0.8074986
sal + silicate Atlantic (28.1,28.15] -0.8983039 -0.9139383 -0.8757288
sal + silicate Atlantic (28.15,28.2] -0.9557248 -0.9814279 -0.9195227
sal + silicate Atlantic (28.2, Inf] -0.8948166 -0.9859207 -0.7821316
sal + silicate Indo-Pacific (-Inf,26] -0.5269386 -0.5734831 -0.4400617
sal + silicate Indo-Pacific (26,26.5] -0.5586377 -0.6782484 -0.4567852
sal + silicate Indo-Pacific (26.5,26.75] -0.6665848 -0.8095676 -0.5531120
sal + silicate Indo-Pacific (26.75,27] -0.6560926 -0.7634200 -0.4770113
sal + silicate Indo-Pacific (27,27.25] -0.4577304 -0.5432176 -0.3258898
sal + silicate Indo-Pacific (27.25,27.5] -0.1485818 -0.1965007 -0.0874834
sal + silicate Indo-Pacific (27.5,27.75] 0.1192105 -0.0579965 0.3812169
sal + silicate Indo-Pacific (27.75,27.85] -0.2085598 -0.3571247 -0.0466023
sal + silicate Indo-Pacific (27.85,27.95] -0.3659003 -0.5927715 -0.1939791
sal + silicate Indo-Pacific (27.95,28.05] -0.3972371 -0.4455219 -0.3364360
sal + silicate Indo-Pacific (28.05,28.1] -0.4869888 -0.5266207 -0.4123103
sal + silicate Indo-Pacific (28.1, Inf] -0.0102754 -0.1576516 0.1555135
sal + tem Atlantic (-Inf,26] 0.9254189 0.8422006 0.9836628
sal + tem Atlantic (26,26.5] 0.9689093 0.9616315 0.9743585
sal + tem Atlantic (26.5,26.75] 0.9688178 0.9283729 0.9898956
sal + tem Atlantic (26.75,27] 0.9720794 0.9548719 0.9834524
sal + tem Atlantic (27,27.25] 0.9731270 0.9655494 0.9804563
sal + tem Atlantic (27.25,27.5] 0.9644162 0.9457115 0.9742130
sal + tem Atlantic (27.5,27.75] 0.9499608 0.9319460 0.9639926
sal + tem Atlantic (27.75,27.85] 0.9713550 0.9580338 0.9788834
sal + tem Atlantic (27.85,27.95] 0.9269763 0.8986685 0.9510694
sal + tem Atlantic (27.95,28.05] 0.8735152 0.8067063 0.9316798
sal + tem Atlantic (28.05,28.1] 0.9511978 0.9161398 0.9696202
sal + tem Atlantic (28.1,28.15] 0.9442655 0.9248997 0.9683791
sal + tem Atlantic (28.15,28.2] 0.8854070 0.8634964 0.9065752
sal + tem Atlantic (28.2, Inf] 0.2147882 0.0276649 0.4471581
sal + tem Indo-Pacific (-Inf,26] 0.7706936 0.7410545 0.8176761
sal + tem Indo-Pacific (26,26.5] 0.9286401 0.8849934 0.9532028
sal + tem Indo-Pacific (26.5,26.75] 0.9782977 0.9691514 0.9833121
sal + tem Indo-Pacific (26.75,27] 0.9769055 0.9721385 0.9799464
sal + tem Indo-Pacific (27,27.25] 0.9502042 0.9326527 0.9709931
sal + tem Indo-Pacific (27.25,27.5] 0.8810593 0.8280724 0.9585099
sal + tem Indo-Pacific (27.5,27.75] 0.8641477 0.7976591 0.9159312
sal + tem Indo-Pacific (27.75,27.85] 0.8136229 0.6545628 0.9395278
sal + tem Indo-Pacific (27.85,27.95] 0.7215822 0.4949537 0.8737647
sal + tem Indo-Pacific (27.95,28.05] 0.7438024 0.6607193 0.8267357
sal + tem Indo-Pacific (28.05,28.1] 0.7323131 0.6433654 0.8010735
sal + tem Indo-Pacific (28.1, Inf] 0.7280095 0.6266947 0.8291044
silicate + phosphate Atlantic (-Inf,26] 0.6647237 0.6407045 0.6830791
silicate + phosphate Atlantic (26,26.5] 0.9122528 0.8953834 0.9231898
silicate + phosphate Atlantic (26.5,26.75] 0.9667332 0.9620430 0.9710337
silicate + phosphate Atlantic (26.75,27] 0.9478306 0.9385540 0.9572081
silicate + phosphate Atlantic (27,27.25] 0.9358640 0.9185888 0.9513835
silicate + phosphate Atlantic (27.25,27.5] 0.8621903 0.7673643 0.9208256
silicate + phosphate Atlantic (27.5,27.75] 0.8933902 0.8909352 0.8957710
silicate + phosphate Atlantic (27.75,27.85] 0.9522614 0.9450580 0.9612918
silicate + phosphate Atlantic (27.85,27.95] 0.9700254 0.9660180 0.9779281
silicate + phosphate Atlantic (27.95,28.05] 0.9797303 0.9764473 0.9860913
silicate + phosphate Atlantic (28.05,28.1] 0.9890206 0.9847203 0.9915874
silicate + phosphate Atlantic (28.1,28.15] 0.9930601 0.9917584 0.9941059
silicate + phosphate Atlantic (28.15,28.2] 0.9937384 0.9894106 0.9979614
silicate + phosphate Atlantic (28.2, Inf] 0.9796915 0.9595340 0.9966812
silicate + phosphate Indo-Pacific (-Inf,26] 0.7970148 0.7537346 0.8261429
silicate + phosphate Indo-Pacific (26,26.5] 0.7628641 0.6642843 0.8391706
silicate + phosphate Indo-Pacific (26.5,26.75] 0.7538950 0.5937933 0.8440688
silicate + phosphate Indo-Pacific (26.75,27] 0.8540668 0.8044633 0.8816728
silicate + phosphate Indo-Pacific (27,27.25] 0.8983398 0.8738472 0.9330574
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8839535 0.8592060 0.9262076
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8683609 0.8459587 0.8980963
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9510726 0.9308561 0.9640829
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9644339 0.9516201 0.9717000
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9594476 0.9506713 0.9640248
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9557865 0.9483477 0.9622604
silicate + phosphate Indo-Pacific (28.1, Inf] 0.7914868 0.7641350 0.8233665
silicate + phosphate_star Atlantic (-Inf,26] 0.6600231 0.6232995 0.7021616
silicate + phosphate_star Atlantic (26,26.5] 0.8341465 0.7709180 0.9407649
silicate + phosphate_star Atlantic (26.5,26.75] 0.7544161 0.7229402 0.8031336
silicate + phosphate_star Atlantic (26.75,27] 0.5295051 0.3913783 0.6112823
silicate + phosphate_star Atlantic (27,27.25] 0.6371697 0.5898768 0.6662006
silicate + phosphate_star Atlantic (27.25,27.5] 0.8377855 0.8137303 0.8524148
silicate + phosphate_star Atlantic (27.5,27.75] 0.9325859 0.9164100 0.9550246
silicate + phosphate_star Atlantic (27.75,27.85] 0.9547495 0.9428501 0.9650042
silicate + phosphate_star Atlantic (27.85,27.95] 0.9253992 0.9162717 0.9356236
silicate + phosphate_star Atlantic (27.95,28.05] 0.9323838 0.8904283 0.9698010
silicate + phosphate_star Atlantic (28.05,28.1] 0.9545692 0.9375214 0.9853204
silicate + phosphate_star Atlantic (28.1,28.15] 0.9728344 0.9662171 0.9855393
silicate + phosphate_star Atlantic (28.15,28.2] 0.9840834 0.9703623 0.9955390
silicate + phosphate_star Atlantic (28.2, Inf] 0.8847456 0.7642478 0.9753485
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7887790 0.7524096 0.8318681
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7857486 0.7483522 0.8067171
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.8024578 0.7228771 0.8548624
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7456001 0.7161265 0.7761799
silicate + phosphate_star Indo-Pacific (27,27.25] 0.4383202 0.4059539 0.4588383
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.1848546 -0.2468943 -0.0670824
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.2134224 -0.3909836 -0.0028587
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4131847 -0.6129553 -0.2477974
silicate + phosphate_star Indo-Pacific (27.85,27.95] 0.0364754 -0.0204934 0.1358894
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.3654287 0.2357870 0.4838238
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.4965237 0.4469106 0.5881071
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.0190117 -0.1575123 0.1783749
tem + aou Atlantic (-Inf,26] -0.1903138 -0.4969123 0.3240903
tem + aou Atlantic (26,26.5] -0.3607441 -0.8053558 -0.0681727
tem + aou Atlantic (26.5,26.75] -0.3534837 -0.4869077 -0.2549241
tem + aou Atlantic (26.75,27] -0.1309719 -0.2044823 -0.0220667
tem + aou Atlantic (27,27.25] -0.0504757 -0.2251903 0.0881961
tem + aou Atlantic (27.25,27.5] -0.0501405 -0.2779215 0.1702639
tem + aou Atlantic (27.5,27.75] -0.4444076 -0.5600295 -0.3346882
tem + aou Atlantic (27.75,27.85] -0.5128294 -0.5229160 -0.4968668
tem + aou Atlantic (27.85,27.95] -0.3050956 -0.4096014 -0.1401074
tem + aou Atlantic (27.95,28.05] -0.4993323 -0.6507725 -0.3201445
tem + aou Atlantic (28.05,28.1] -0.6009103 -0.7966052 -0.4451464
tem + aou Atlantic (28.1,28.15] -0.6257226 -0.7181933 -0.5358002
tem + aou Atlantic (28.15,28.2] -0.7545537 -0.8386287 -0.6996772
tem + aou Atlantic (28.2, Inf] 0.4051768 0.3290807 0.4936508
tem + aou Indo-Pacific (-Inf,26] -0.2737194 -0.4113702 -0.1786925
tem + aou Indo-Pacific (26,26.5] -0.1188979 -0.2984601 -0.0164962
tem + aou Indo-Pacific (26.5,26.75] -0.0417279 -0.3390413 0.2540518
tem + aou Indo-Pacific (26.75,27] -0.1658679 -0.3471406 -0.0123707
tem + aou Indo-Pacific (27,27.25] -0.1435859 -0.2802564 0.0763010
tem + aou Indo-Pacific (27.25,27.5] 0.1101352 0.0034490 0.2629607
tem + aou Indo-Pacific (27.5,27.75] 0.3206622 0.1891489 0.5050516
tem + aou Indo-Pacific (27.75,27.85] 0.0027886 -0.1982387 0.1936379
tem + aou Indo-Pacific (27.85,27.95] -0.0242745 -0.2103930 0.0844522
tem + aou Indo-Pacific (27.95,28.05] 0.1323819 0.0951845 0.1680661
tem + aou Indo-Pacific (28.05,28.1] 0.2159905 0.0632195 0.3250411
tem + aou Indo-Pacific (28.1, Inf] 0.8480145 0.8021672 0.8738287
tem + oxygen Atlantic (-Inf,26] -0.2777209 -0.5924062 -0.0473117
tem + oxygen Atlantic (26,26.5] -0.0533833 -0.3485817 0.3951096
tem + oxygen Atlantic (26.5,26.75] 0.1301365 0.0214487 0.2824558
tem + oxygen Atlantic (26.75,27] -0.0545980 -0.1000094 -0.0311497
tem + oxygen Atlantic (27,27.25] -0.1552428 -0.2449767 0.0227839
tem + oxygen Atlantic (27.25,27.5] -0.2282220 -0.4016965 0.0133476
tem + oxygen Atlantic (27.5,27.75] 0.1462290 -0.0834651 0.3739755
tem + oxygen Atlantic (27.75,27.85] 0.3411798 0.2960690 0.3780882
tem + oxygen Atlantic (27.85,27.95] 0.1745185 -0.0023781 0.2664411
tem + oxygen Atlantic (27.95,28.05] 0.3710419 0.2019779 0.5513913
tem + oxygen Atlantic (28.05,28.1] 0.4848899 0.3292293 0.7353029
tem + oxygen Atlantic (28.1,28.15] 0.5358666 0.4444864 0.6263379
tem + oxygen Atlantic (28.15,28.2] 0.7144575 0.6438657 0.8135067
tem + oxygen Atlantic (28.2, Inf] -0.5501034 -0.6684256 -0.4520965
tem + oxygen Indo-Pacific (-Inf,26] -0.1016933 -0.2717909 -0.0097939
tem + oxygen Indo-Pacific (26,26.5] -0.0723771 -0.1580124 0.0758771
tem + oxygen Indo-Pacific (26.5,26.75] -0.1229954 -0.4134894 0.1567123
tem + oxygen Indo-Pacific (26.75,27] -0.0105758 -0.1583950 0.1702080
tem + oxygen Indo-Pacific (27,27.25] -0.0004726 -0.2735837 0.1640281
tem + oxygen Indo-Pacific (27.25,27.5] -0.2324197 -0.4322640 -0.1005341
tem + oxygen Indo-Pacific (27.5,27.75] -0.4429127 -0.6026866 -0.2966452
tem + oxygen Indo-Pacific (27.75,27.85] -0.0846449 -0.3165264 0.1534029
tem + oxygen Indo-Pacific (27.85,27.95] -0.0557866 -0.1907540 0.1613553
tem + oxygen Indo-Pacific (27.95,28.05] -0.2309458 -0.2540509 -0.2094979
tem + oxygen Indo-Pacific (28.05,28.1] -0.3039423 -0.4213241 -0.1543106
tem + oxygen Indo-Pacific (28.1, Inf] -0.9059582 -0.9222420 -0.8771427
tem + phosphate Atlantic (-Inf,26] -0.5873441 -0.6589007 -0.4850393
tem + phosphate Atlantic (26,26.5] -0.8067642 -0.9137204 -0.7413984
tem + phosphate Atlantic (26.5,26.75] -0.7115400 -0.7732971 -0.5982804
tem + phosphate Atlantic (26.75,27] -0.5647851 -0.7017914 -0.3735567
tem + phosphate Atlantic (27,27.25] -0.5999982 -0.6882857 -0.4335709
tem + phosphate Atlantic (27.25,27.5] -0.6981752 -0.7778198 -0.5562355
tem + phosphate Atlantic (27.5,27.75] -0.7677136 -0.7739743 -0.7566411
tem + phosphate Atlantic (27.75,27.85] -0.7092870 -0.7376006 -0.6611781
tem + phosphate Atlantic (27.85,27.95] -0.5131482 -0.6378584 -0.3779151
tem + phosphate Atlantic (27.95,28.05] -0.6328228 -0.7235273 -0.4647427
tem + phosphate Atlantic (28.05,28.1] -0.7168018 -0.8185893 -0.5736109
tem + phosphate Atlantic (28.1,28.15] -0.7187823 -0.8163161 -0.6393207
tem + phosphate Atlantic (28.15,28.2] -0.7565043 -0.8159999 -0.7081752
tem + phosphate Atlantic (28.2, Inf] 0.0689816 0.0041457 0.1430906
tem + phosphate Indo-Pacific (-Inf,26] -0.4336326 -0.5912986 -0.3006988
tem + phosphate Indo-Pacific (26,26.5] -0.3673981 -0.5532509 -0.2677666
tem + phosphate Indo-Pacific (26.5,26.75] -0.3057649 -0.5857394 -0.0639528
tem + phosphate Indo-Pacific (26.75,27] -0.4353956 -0.6118798 -0.2914114
tem + phosphate Indo-Pacific (27,27.25] -0.3451974 -0.4222299 -0.2016893
tem + phosphate Indo-Pacific (27.25,27.5] -0.0184775 -0.1096232 0.0284870
tem + phosphate Indo-Pacific (27.5,27.75] 0.3487119 0.1237490 0.6725195
tem + phosphate Indo-Pacific (27.75,27.85] -0.0235693 -0.1669361 0.1343332
tem + phosphate Indo-Pacific (27.85,27.95] -0.0855888 -0.2256114 0.0141580
tem + phosphate Indo-Pacific (27.95,28.05] -0.0412158 -0.0822141 -0.0035418
tem + phosphate Indo-Pacific (28.05,28.1] 0.0055072 -0.1313471 0.0856961
tem + phosphate Indo-Pacific (28.1, Inf] 0.3995166 0.2692599 0.4789259
tem + phosphate_star Atlantic (-Inf,26] -0.7416170 -0.8217510 -0.6327666
tem + phosphate_star Atlantic (26,26.5] -0.9507119 -0.9651642 -0.9427449
tem + phosphate_star Atlantic (26.5,26.75] -0.9562376 -0.9830704 -0.9089610
tem + phosphate_star Atlantic (26.75,27] -0.9771890 -0.9869723 -0.9617334
tem + phosphate_star Atlantic (27,27.25] -0.9838078 -0.9902080 -0.9757177
tem + phosphate_star Atlantic (27.25,27.5] -0.9751686 -0.9842178 -0.9577665
tem + phosphate_star Atlantic (27.5,27.75] -0.9184210 -0.9351903 -0.8879831
tem + phosphate_star Atlantic (27.75,27.85] -0.8867165 -0.9203696 -0.8368590
tem + phosphate_star Atlantic (27.85,27.95] -0.8003896 -0.8756126 -0.7523917
tem + phosphate_star Atlantic (27.95,28.05] -0.7927863 -0.8852449 -0.6875709
tem + phosphate_star Atlantic (28.05,28.1] -0.8244077 -0.8927141 -0.7206883
tem + phosphate_star Atlantic (28.1,28.15] -0.8084162 -0.8913802 -0.7485359
tem + phosphate_star Atlantic (28.15,28.2] -0.7741076 -0.8122706 -0.7165942
tem + phosphate_star Atlantic (28.2, Inf] -0.2297275 -0.4232446 -0.0480381
tem + phosphate_star Indo-Pacific (-Inf,26] -0.7511259 -0.8461158 -0.6175960
tem + phosphate_star Indo-Pacific (26,26.5] -0.8210194 -0.8969184 -0.7616454
tem + phosphate_star Indo-Pacific (26.5,26.75] -0.8666911 -0.9286377 -0.8057201
tem + phosphate_star Indo-Pacific (26.75,27] -0.9355942 -0.9614123 -0.9088229
tem + phosphate_star Indo-Pacific (27,27.25] -0.9141455 -0.9326717 -0.8790975
tem + phosphate_star Indo-Pacific (27.25,27.5] -0.7134369 -0.9113800 -0.5004017
tem + phosphate_star Indo-Pacific (27.5,27.75] -0.2162064 -0.8192619 0.4267555
tem + phosphate_star Indo-Pacific (27.75,27.85] -0.4084336 -0.6718990 0.0137202
tem + phosphate_star Indo-Pacific (27.85,27.95] -0.5605840 -0.7151115 -0.3727192
tem + phosphate_star Indo-Pacific (27.95,28.05] -0.7527563 -0.8297874 -0.6830041
tem + phosphate_star Indo-Pacific (28.05,28.1] -0.6368406 -0.6671640 -0.5830282
tem + phosphate_star Indo-Pacific (28.1, Inf] -0.8826497 -0.9021665 -0.8660622
tem + silicate Atlantic (-Inf,26] -0.6428924 -0.6929146 -0.5711329
tem + silicate Atlantic (26,26.5] -0.7462861 -0.8811499 -0.6685095
tem + silicate Atlantic (26.5,26.75] -0.6414215 -0.7140280 -0.5527532
tem + silicate Atlantic (26.75,27] -0.4739154 -0.5705585 -0.3113138
tem + silicate Atlantic (27,27.25] -0.6116732 -0.6560349 -0.5534387
tem + silicate Atlantic (27.25,27.5] -0.8293792 -0.8355778 -0.8182826
tem + silicate Atlantic (27.5,27.75] -0.8504803 -0.8691886 -0.8324057
tem + silicate Atlantic (27.75,27.85] -0.7993697 -0.8203330 -0.7772947
tem + silicate Atlantic (27.85,27.95] -0.6364183 -0.7283763 -0.5239783
tem + silicate Atlantic (27.95,28.05] -0.7164090 -0.8095948 -0.5716594
tem + silicate Atlantic (28.05,28.1] -0.7451350 -0.8611493 -0.6242234
tem + silicate Atlantic (28.1,28.15] -0.7396828 -0.8072767 -0.6641956
tem + silicate Atlantic (28.15,28.2] -0.7561685 -0.8228728 -0.7018475
tem + silicate Atlantic (28.2, Inf] 0.0958982 0.0814843 0.1139701
tem + silicate Indo-Pacific (-Inf,26] -0.5964584 -0.7261027 -0.4491996
tem + silicate Indo-Pacific (26,26.5] -0.6085189 -0.7110652 -0.4713365
tem + silicate Indo-Pacific (26.5,26.75] -0.6654256 -0.8018730 -0.5564597
tem + silicate Indo-Pacific (26.75,27] -0.6682835 -0.7568231 -0.5324597
tem + silicate Indo-Pacific (27,27.25] -0.5265455 -0.6210395 -0.4173936
tem + silicate Indo-Pacific (27.25,27.5] -0.2262236 -0.2669660 -0.1471327
tem + silicate Indo-Pacific (27.5,27.75] 0.0533264 -0.1198311 0.3062197
tem + silicate Indo-Pacific (27.75,27.85] -0.1187404 -0.2532228 0.0094038
tem + silicate Indo-Pacific (27.85,27.95] -0.1583000 -0.3017065 -0.0772440
tem + silicate Indo-Pacific (27.95,28.05] -0.0659905 -0.1124858 -0.0256292
tem + silicate Indo-Pacific (28.05,28.1] 0.0725815 -0.0806253 0.1556158
tem + silicate Indo-Pacific (28.1, Inf] 0.2732916 0.0745190 0.3870686
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
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] 0.3601898 0.1209042 0.5920838
aou Atlantic (26,26.5] -0.1682075 -0.4432522 0.0096234
aou Atlantic (26.5,26.75] -0.3427671 -0.4209095 -0.2264773
aou Atlantic (26.75,27] -0.1881658 -0.3468446 -0.1077908
aou Atlantic (27,27.25] -0.2594889 -0.3404787 -0.1563678
aou Atlantic (27.25,27.5] -0.3365531 -0.4850368 -0.1911938
aou Atlantic (27.5,27.75] -0.7843619 -0.8506148 -0.7248863
aou Atlantic (27.75,27.85] -0.9272102 -0.9339578 -0.9198879
aou Atlantic (27.85,27.95] -0.9373395 -0.9481322 -0.9300023
aou Atlantic (27.95,28.05] -0.8885973 -0.8932257 -0.8832893
aou Atlantic (28.05,28.1] -0.8560434 -0.8785939 -0.8255495
aou Atlantic (28.1,28.15] -0.8939565 -0.9079828 -0.8717513
aou Atlantic (28.15,28.2] -0.9455728 -0.9546162 -0.9325230
aou Atlantic (28.2, Inf] -0.1115842 -0.2061383 -0.0153258
aou Indo-Pacific (-Inf,26] -0.1682105 -0.3449500 -0.0156653
aou Indo-Pacific (26,26.5] -0.7238190 -0.7400428 -0.7118425
aou Indo-Pacific (26.5,26.75] -0.7398706 -0.7567044 -0.7145148
aou Indo-Pacific (26.75,27] -0.7143820 -0.8167510 -0.6142301
aou Indo-Pacific (27,27.25] 0.0100254 -0.0652654 0.0700584
aou Indo-Pacific (27.25,27.5] 0.5619558 0.4917303 0.6412123
aou Indo-Pacific (27.5,27.75] 0.7048668 0.5983789 0.7805462
aou Indo-Pacific (27.75,27.85] 0.7548206 0.6265753 0.8292423
aou Indo-Pacific (27.85,27.95] 0.7018412 0.5664329 0.7947820
aou Indo-Pacific (27.95,28.05] 0.4632691 0.2888600 0.6364407
aou Indo-Pacific (28.05,28.1] 0.2456518 0.1645562 0.3684684
aou Indo-Pacific (28.1, Inf] 0.3709367 0.2211213 0.6310601
oxygen Atlantic (-Inf,26] -0.4077361 -0.5867962 -0.2817183
oxygen Atlantic (26,26.5] -0.1374269 -0.3448617 0.1896565
oxygen Atlantic (26.5,26.75] 0.1602360 0.1042185 0.2078512
oxygen Atlantic (26.75,27] 0.0252464 -0.0632575 0.1331841
oxygen Atlantic (27,27.25] 0.0671930 0.0100533 0.1559738
oxygen Atlantic (27.25,27.5] 0.0733661 -0.0295260 0.2477523
oxygen Atlantic (27.5,27.75] 0.5686477 0.3826877 0.7417133
oxygen Atlantic (27.75,27.85] 0.8647711 0.8334842 0.8971371
oxygen Atlantic (27.85,27.95] 0.9139572 0.8982532 0.9406682
oxygen Atlantic (27.95,28.05] 0.8692990 0.8301617 0.8976212
oxygen Atlantic (28.05,28.1] 0.8382340 0.8076623 0.8990258
oxygen Atlantic (28.1,28.15] 0.8852618 0.8554751 0.9110128
oxygen Atlantic (28.15,28.2] 0.9472014 0.9373145 0.9624428
oxygen Atlantic (28.2, Inf] -0.0795347 -0.1438963 -0.0235866
oxygen Indo-Pacific (-Inf,26] 0.2601297 0.1344816 0.3849804
oxygen Indo-Pacific (26,26.5] 0.6352649 0.5920101 0.6585668
oxygen Indo-Pacific (26.5,26.75] 0.6509356 0.6225943 0.6795675
oxygen Indo-Pacific (26.75,27] 0.6349368 0.5354191 0.7549732
oxygen Indo-Pacific (27,27.25] 0.0100304 -0.0745037 0.1100795
oxygen Indo-Pacific (27.25,27.5] -0.5112867 -0.6063954 -0.4272771
oxygen Indo-Pacific (27.5,27.75] -0.6503099 -0.7474373 -0.5069083
oxygen Indo-Pacific (27.75,27.85] -0.7204492 -0.8135881 -0.5608434
oxygen Indo-Pacific (27.85,27.95] -0.6778995 -0.7826369 -0.5233679
oxygen Indo-Pacific (27.95,28.05] -0.4564848 -0.6294197 -0.2760891
oxygen Indo-Pacific (28.05,28.1] -0.2562639 -0.3755680 -0.1837942
oxygen Indo-Pacific (28.1, Inf] -0.3978139 -0.6547871 -0.2491966
phosphate Atlantic (-Inf,26] -0.3428796 -0.6953986 -0.0923602
phosphate Atlantic (26,26.5] -0.6594416 -0.6991393 -0.6272421
phosphate Atlantic (26.5,26.75] -0.6843610 -0.7898802 -0.5973576
phosphate Atlantic (26.75,27] -0.5960316 -0.7862089 -0.4476596
phosphate Atlantic (27,27.25] -0.7481972 -0.8473627 -0.6385165
phosphate Atlantic (27.25,27.5] -0.8899003 -0.9338381 -0.8364886
phosphate Atlantic (27.5,27.75] -0.9812527 -0.9840301 -0.9766920
phosphate Atlantic (27.75,27.85] -0.9692579 -0.9780721 -0.9544251
phosphate Atlantic (27.85,27.95] -0.9489113 -0.9549347 -0.9450681
phosphate Atlantic (27.95,28.05] -0.9203078 -0.9372118 -0.8995728
phosphate Atlantic (28.05,28.1] -0.9034735 -0.9250159 -0.8834295
phosphate Atlantic (28.1,28.15] -0.9285784 -0.9436272 -0.9147144
phosphate Atlantic (28.15,28.2] -0.9694277 -0.9768010 -0.9588125
phosphate Atlantic (28.2, Inf] -0.7898310 -0.8309074 -0.7436642
phosphate Indo-Pacific (-Inf,26] -0.2032365 -0.4100491 -0.0379779
phosphate Indo-Pacific (26,26.5] -0.8376361 -0.8588558 -0.8054164
phosphate Indo-Pacific (26.5,26.75] -0.8735569 -0.8942803 -0.8587593
phosphate Indo-Pacific (26.75,27] -0.8376720 -0.8988640 -0.7509167
phosphate Indo-Pacific (27,27.25] -0.0714788 -0.1064194 -0.0429509
phosphate Indo-Pacific (27.25,27.5] 0.4833068 0.4049169 0.5742669
phosphate Indo-Pacific (27.5,27.75] 0.6215805 0.5160571 0.7093684
phosphate Indo-Pacific (27.75,27.85] 0.6763362 0.5335645 0.7575743
phosphate Indo-Pacific (27.85,27.95] 0.6082209 0.4419129 0.7295580
phosphate Indo-Pacific (27.95,28.05] 0.3327502 0.1208395 0.5599383
phosphate Indo-Pacific (28.05,28.1] 0.0784436 -0.0251723 0.2718671
phosphate Indo-Pacific (28.1, Inf] 0.0023223 -0.1794074 0.3239416
phosphate_star Atlantic (-Inf,26] -0.5285803 -0.7345299 -0.2691080
phosphate_star Atlantic (26,26.5] -0.8112818 -0.8447285 -0.7579807
phosphate_star Atlantic (26.5,26.75] -0.8944668 -0.9170346 -0.8792478
phosphate_star Atlantic (26.75,27] -0.9351717 -0.9572982 -0.9203847
phosphate_star Atlantic (27,27.25] -0.9516859 -0.9586123 -0.9466706
phosphate_star Atlantic (27.25,27.5] -0.9491700 -0.9634753 -0.9395145
phosphate_star Atlantic (27.5,27.75] -0.9305811 -0.9459662 -0.9141849
phosphate_star Atlantic (27.75,27.85] -0.8990904 -0.9177846 -0.8810452
phosphate_star Atlantic (27.85,27.95] -0.8073046 -0.8387824 -0.7823153
phosphate_star Atlantic (27.95,28.05] -0.8463589 -0.8784913 -0.8092199
phosphate_star Atlantic (28.05,28.1] -0.8806075 -0.8998024 -0.8535662
phosphate_star Atlantic (28.1,28.15] -0.9106908 -0.9270207 -0.8785034
phosphate_star Atlantic (28.15,28.2] -0.9700152 -0.9731486 -0.9640176
phosphate_star Atlantic (28.2, Inf] -0.8400963 -0.8512173 -0.8298319
phosphate_star Indo-Pacific (-Inf,26] -0.1059462 -0.3453437 0.0383487
phosphate_star Indo-Pacific (26,26.5] -0.8031239 -0.8587656 -0.7492633
phosphate_star Indo-Pacific (26.5,26.75] -0.7956338 -0.8937833 -0.6776064
phosphate_star Indo-Pacific (26.75,27] -0.7114356 -0.8314278 -0.6272419
phosphate_star Indo-Pacific (27,27.25] -0.1609754 -0.3224478 -0.0175831
phosphate_star Indo-Pacific (27.25,27.5] -0.2718722 -0.3236409 -0.1776322
phosphate_star Indo-Pacific (27.5,27.75] -0.4687006 -0.6500603 -0.2116652
phosphate_star Indo-Pacific (27.75,27.85] -0.5104999 -0.7473732 -0.2583043
phosphate_star Indo-Pacific (27.85,27.95] -0.3222400 -0.3657803 -0.2457483
phosphate_star Indo-Pacific (27.95,28.05] -0.2530760 -0.3135846 -0.1498244
phosphate_star Indo-Pacific (28.05,28.1] -0.3328348 -0.4317596 -0.1595675
phosphate_star Indo-Pacific (28.1, Inf] -0.5590114 -0.6570862 -0.4760451
sal Atlantic (-Inf,26] 0.2945217 0.2102502 0.3875275
sal Atlantic (26,26.5] 0.7547235 0.6608367 0.8292886
sal Atlantic (26.5,26.75] 0.8017299 0.6592864 0.8802125
sal Atlantic (26.75,27] 0.8910965 0.8336705 0.9379102
sal Atlantic (27,27.25] 0.9301316 0.9116678 0.9508812
sal Atlantic (27.25,27.5] 0.9153973 0.8651601 0.9536377
sal Atlantic (27.5,27.75] 0.8281956 0.7931696 0.8587416
sal Atlantic (27.75,27.85] 0.7037929 0.6680484 0.7225009
sal Atlantic (27.85,27.95] 0.4527599 0.3616380 0.5380101
sal Atlantic (27.95,28.05] 0.5029259 0.2265079 0.6737908
sal Atlantic (28.05,28.1] 0.6659204 0.6162172 0.7297964
sal Atlantic (28.1,28.15] 0.7463769 0.6882441 0.8084322
sal Atlantic (28.15,28.2] 0.8927195 0.8620612 0.9133444
sal Atlantic (28.2, Inf] 0.7632920 0.7372621 0.8067383
sal Indo-Pacific (-Inf,26] 0.0362859 -0.0256559 0.0731902
sal Indo-Pacific (26,26.5] 0.4450410 0.3331214 0.6569589
sal Indo-Pacific (26.5,26.75] 0.4830895 0.2850543 0.7412469
sal Indo-Pacific (26.75,27] 0.4512672 0.3391670 0.6690483
sal Indo-Pacific (27,27.25] -0.2386123 -0.4760430 -0.0955193
sal Indo-Pacific (27.25,27.5] -0.3490124 -0.5471020 -0.1604317
sal Indo-Pacific (27.5,27.75] -0.2886352 -0.3843499 -0.2265564
sal Indo-Pacific (27.75,27.85] -0.4143699 -0.5394351 -0.3188216
sal Indo-Pacific (27.85,27.95] -0.3990553 -0.5569741 -0.2406708
sal Indo-Pacific (27.95,28.05] -0.1132918 -0.1936152 -0.0010051
sal Indo-Pacific (28.05,28.1] 0.0203977 -0.1080997 0.1597644
sal Indo-Pacific (28.1, Inf] 0.2830476 0.2508406 0.3232020
silicate Atlantic (-Inf,26] -0.2699840 -0.5097226 -0.0907691
silicate Atlantic (26,26.5] -0.6394453 -0.7288483 -0.5767487
silicate Atlantic (26.5,26.75] -0.6377605 -0.7199728 -0.5794714
silicate Atlantic (26.75,27] -0.5116317 -0.6645795 -0.4062143
silicate Atlantic (27,27.25] -0.7403437 -0.7815178 -0.7114854
silicate Atlantic (27.25,27.5] -0.8699591 -0.8845835 -0.8564358
silicate Atlantic (27.5,27.75] -0.8814139 -0.8911230 -0.8690844
silicate Atlantic (27.75,27.85] -0.8937604 -0.9126146 -0.8737154
silicate Atlantic (27.85,27.95] -0.8787219 -0.9003415 -0.8678550
silicate Atlantic (27.95,28.05] -0.8628693 -0.8977384 -0.8331339
silicate Atlantic (28.05,28.1] -0.8629023 -0.8949450 -0.8447333
silicate Atlantic (28.1,28.15] -0.9053183 -0.9276279 -0.8908108
silicate Atlantic (28.15,28.2] -0.9561291 -0.9680124 -0.9377546
silicate Atlantic (28.2, Inf] -0.6572850 -0.8212488 -0.5192765
silicate Indo-Pacific (-Inf,26] -0.2234256 -0.3871438 -0.0927413
silicate Indo-Pacific (26,26.5] -0.7344792 -0.7631123 -0.7012698
silicate Indo-Pacific (26.5,26.75] -0.7357094 -0.7970318 -0.6181060
silicate Indo-Pacific (26.75,27] -0.6545848 -0.7071815 -0.6264078
silicate Indo-Pacific (27,27.25] 0.2330332 0.2064652 0.2757614
silicate Indo-Pacific (27.25,27.5] 0.7590026 0.6916983 0.7926561
silicate Indo-Pacific (27.5,27.75] 0.8381351 0.7751685 0.8700101
silicate Indo-Pacific (27.75,27.85] 0.7908840 0.6913513 0.8542354
silicate Indo-Pacific (27.85,27.95] 0.6917999 0.5604621 0.7885941
silicate Indo-Pacific (27.95,28.05] 0.4309345 0.2481314 0.6235578
silicate Indo-Pacific (28.05,28.1] 0.1795971 0.1037466 0.3132002
silicate Indo-Pacific (28.1, Inf] 0.0330723 -0.0915473 0.2391874
tem Atlantic (-Inf,26] 0.0890304 -0.1571785 0.2489975
tem Atlantic (26,26.5] 0.7005377 0.5742165 0.7815227
tem Atlantic (26.5,26.75] 0.8132424 0.7331369 0.8664913
tem Atlantic (26.75,27] 0.8768824 0.8271998 0.9214221
tem Atlantic (27,27.25] 0.9110570 0.9019486 0.9262333
tem Atlantic (27.25,27.5] 0.8904819 0.8453867 0.9268092
tem Atlantic (27.5,27.75] 0.7691531 0.7147088 0.8053445
tem Atlantic (27.75,27.85] 0.6684144 0.5940638 0.7062076
tem Atlantic (27.85,27.95] 0.3996224 0.2865633 0.5532140
tem Atlantic (27.95,28.05] 0.4811989 0.3044453 0.6322255
tem Atlantic (28.05,28.1] 0.5392183 0.4408089 0.6387295
tem Atlantic (28.1,28.15] 0.5536182 0.4407238 0.6923946
tem Atlantic (28.15,28.2] 0.6448899 0.5747929 0.6815289
tem Atlantic (28.2, Inf] 0.6196828 0.5682636 0.6610980
tem Indo-Pacific (-Inf,26] -0.2532464 -0.3219372 -0.1595724
tem Indo-Pacific (26,26.5] 0.4564717 0.3196588 0.6372243
tem Indo-Pacific (26.5,26.75] 0.4751719 0.2898950 0.7212705
tem Indo-Pacific (26.75,27] 0.4981128 0.3830542 0.6925343
tem Indo-Pacific (27,27.25] -0.1251958 -0.3345420 0.0402203
tem Indo-Pacific (27.25,27.5] -0.3193291 -0.4772652 -0.1600795
tem Indo-Pacific (27.5,27.75] -0.3359878 -0.4414903 -0.2697522
tem Indo-Pacific (27.75,27.85] -0.3558325 -0.4789688 -0.2399699
tem Indo-Pacific (27.85,27.95] -0.2860885 -0.3957405 -0.1329362
tem Indo-Pacific (27.95,28.05] 0.0110730 -0.0694443 0.0559180
tem Indo-Pacific (28.05,28.1] 0.1409920 0.0762382 0.1817824
tem Indo-Pacific (28.1, Inf] 0.4180545 0.2772380 0.6798495
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