Last updated: 2020-08-27

Checks: 7 0

Knit directory: Cant_eMLR/

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 69a9be4. 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:    .Rproj.user/
    Ignored:    data/GLODAPv1_1/
    Ignored:    data/GLODAPv2_2016b_MappedClimatologies/
    Ignored:    data/GLODAPv2_2020/
    Ignored:    data/Gruber_2019/
    Ignored:    data/WOCE/
    Ignored:    data/World_Ocean_Atlas_2013_Clement/
    Ignored:    data/World_Ocean_Atlas_2018/
    Ignored:    data/eMLR/
    Ignored:    data/mapping/
    Ignored:    data/pCO2_atmosphere/
    Ignored:    dump/

Untracked files:
    Untracked:  code/test_scripts/model_nested_df.R

Unstaged changes:
    Modified:   analysis/_site.yml
    Modified:   code/Workflowr_project_managment.R
    Deleted:    code/python_scripts/python_integration.Rmd

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
html f40e48b jens-daniel-mueller 2020-08-26 Build site.
html ec20f40 jens-daniel-mueller 2020-08-24 Build site.
Rmd a804955 jens-daniel-mueller 2020-08-24 split mapping into 2 rmds, po4star selection in parameters, use po4star nitrate
html 5ffe187 jens-daniel-mueller 2020-08-20 Build site.
html 1064ef8 jens-daniel-mueller 2020-08-19 Build site.
Rmd 94f9375 jens-daniel-mueller 2020-08-19 split emlr into data preparation, assumption testing, and model fitting
html 9af9978 jens-daniel-mueller 2020-08-19 Build site.
Rmd a6cb023 jens-daniel-mueller 2020-08-19 split emlr into data preparation, assumption testing, and model fitting

library(tidyverse)
library(lubridate)
library(patchwork)
library(GGally)
library(olsrr)
library(knitr)
library(kableExtra)
library(broom)
library(corrr)

1 Required data

Required are:

  • cleaned and prepared GLODAPv2.2020 file
GLODAP <-
  read_csv(
    here::here(
      "data/GLODAPv2_2020/_summarized_data_files",
      "GLODAP_MLR_fitting_ready.csv"
    )
  )

2 Select phosphate star

Currently, correlation analysis is based on PO4* calculated with:
- nitrate

if (parameters$phosphate_star_approach == "nitrate") {
  GLODAP <- GLODAP %>%
    mutate(phosphate_star = phosphate_star_nit) %>%
    select(-c(phosphate_star_oxy, phosphate_star_nit))
} else{
  GLODAP <- GLODAP %>%
    mutate(phosphate_star = phosphate_star_oxy) %>%
    select(-c(phosphate_star_oxy, phosphate_star_nit))
}

3 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.

3.1 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"))))

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") )))

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

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_basin,
                         "|", i_era,
                         "| Gamma slab", i_gamma_slab,
                         "| # obs total", nrow(GLODAP_basin_era),
                         "| # obs slab", nrow(GLODAP_highlight %>% 
                                             filter(gamma_highlight == "in"))))
  

png(here::here("output/figure/eMLR/predictor_correlation",
               paste("predictor_correlation", i_basin, i_era, i_gamma_slab, ".png", sep = "_")),
    width = 12, height = 12, units = "in", res = 300)

print(p)

dev.off()
  
    }
  }
}

3.2 Correlation assesment

3.2.1 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
    }
  
  
  
    }
  }
}


cor_predictors %>%
  write_csv(here::here("data/eMLR",
                       "cor_predictors.csv"))

cor_Cstar_predictor %>%
  write_csv(here::here("data/eMLR",
                       "cor_Cstar_predictor.csv"))

rm(cor_predictors_temp, cor_Cstar_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

3.2.2 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 <-
  read_csv(here::here("data/eMLR",
                       "cor_predictors.csv"))

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")

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] -0.8649592 -0.9534952 -0.7550657
aou + oxygen Atlantic (26,26.5] -0.8926537 -0.9107476 -0.8626230
aou + oxygen Atlantic (26.5,26.75] -0.9715136 -0.9853712 -0.9536791
aou + oxygen Atlantic (26.75,27] -0.9810944 -0.9922152 -0.9718314
aou + oxygen Atlantic (27,27.25] -0.9770245 -0.9875749 -0.9659895
aou + oxygen Atlantic (27.25,27.5] -0.9575743 -0.9707979 -0.9410822
aou + oxygen Atlantic (27.5,27.75] -0.9433656 -0.9784925 -0.9036579
aou + oxygen Atlantic (27.75,27.85] -0.9811625 -0.9898826 -0.9759298
aou + oxygen Atlantic (27.85,27.95] -0.9902785 -0.9945578 -0.9874310
aou + oxygen Atlantic (27.95,28.05] -0.9891231 -0.9921957 -0.9834418
aou + oxygen Atlantic (28.05,28.1] -0.9899171 -0.9952334 -0.9821174
aou + oxygen Atlantic (28.1,28.15] -0.9937494 -0.9945629 -0.9925700
aou + oxygen Atlantic (28.15,28.2] -0.9983276 -0.9988974 -0.9974572
aou + oxygen Atlantic (28.2, Inf] -0.9865746 -0.9901176 -0.9831004
aou + oxygen Indo-Pacific (-Inf,26] -0.9236200 -0.9667488 -0.8972692
aou + oxygen Indo-Pacific (26,26.5] -0.9809220 -0.9846582 -0.9738150
aou + oxygen Indo-Pacific (26.5,26.75] -0.9853216 -0.9882411 -0.9820145
aou + oxygen Indo-Pacific (26.75,27] -0.9839547 -0.9853368 -0.9830976
aou + oxygen Indo-Pacific (27,27.25] -0.9886682 -0.9928848 -0.9803680
aou + oxygen Indo-Pacific (27.25,27.5] -0.9912564 -0.9952681 -0.9836197
aou + oxygen Indo-Pacific (27.5,27.75] -0.9906898 -0.9938939 -0.9850839
aou + oxygen Indo-Pacific (27.75,27.85] -0.9959869 -0.9989585 -0.9919032
aou + oxygen Indo-Pacific (27.85,27.95] -0.9967344 -0.9990057 -0.9944556
aou + oxygen Indo-Pacific (27.95,28.05] -0.9951746 -0.9964353 -0.9934051
aou + oxygen Indo-Pacific (28.05,28.1] -0.9956092 -0.9966147 -0.9946069
aou + oxygen Indo-Pacific (28.1, Inf] -0.9908817 -0.9923555 -0.9887883
aou + phosphate Atlantic (-Inf,26] 0.4734826 0.3638387 0.6886229
aou + phosphate Atlantic (26,26.5] 0.7653975 0.6261582 0.9141044
aou + phosphate Atlantic (26.5,26.75] 0.8900471 0.8461375 0.9294296
aou + phosphate Atlantic (26.75,27] 0.8795523 0.8327046 0.9238679
aou + phosphate Atlantic (27,27.25] 0.8131734 0.7311669 0.8599479
aou + phosphate Atlantic (27.25,27.5] 0.7107692 0.6507924 0.8023489
aou + phosphate Atlantic (27.5,27.75] 0.8619240 0.7979749 0.9188449
aou + phosphate Atlantic (27.75,27.85] 0.9516507 0.9423379 0.9684618
aou + phosphate Atlantic (27.85,27.95] 0.9583522 0.9518099 0.9679321
aou + phosphate Atlantic (27.95,28.05] 0.9644631 0.9541793 0.9836725
aou + phosphate Atlantic (28.05,28.1] 0.9720019 0.9561714 0.9907812
aou + phosphate Atlantic (28.1,28.15] 0.9800003 0.9782494 0.9823565
aou + phosphate Atlantic (28.15,28.2] 0.9926726 0.9890888 0.9944703
aou + phosphate Atlantic (28.2, Inf] 0.9008667 0.8698418 0.9476150
aou + phosphate Indo-Pacific (-Inf,26] 0.9430427 0.9128374 0.9696641
aou + phosphate Indo-Pacific (26,26.5] 0.9553712 0.9492126 0.9640881
aou + phosphate Indo-Pacific (26.5,26.75] 0.9515874 0.9392975 0.9638471
aou + phosphate Indo-Pacific (26.75,27] 0.9504577 0.9459297 0.9537914
aou + phosphate Indo-Pacific (27,27.25] 0.9660082 0.9484998 0.9794664
aou + phosphate Indo-Pacific (27.25,27.5] 0.9665270 0.9520615 0.9786942
aou + phosphate Indo-Pacific (27.5,27.75] 0.9572593 0.9503456 0.9610480
aou + phosphate Indo-Pacific (27.75,27.85] 0.9822762 0.9736000 0.9883639
aou + phosphate Indo-Pacific (27.85,27.95] 0.9801007 0.9706154 0.9891580
aou + phosphate Indo-Pacific (27.95,28.05] 0.9675386 0.9569900 0.9761508
aou + phosphate Indo-Pacific (28.05,28.1] 0.9573078 0.9443355 0.9715225
aou + phosphate Indo-Pacific (28.1, Inf] 0.7805310 0.7289653 0.8296450
aou + phosphate_star Atlantic (-Inf,26] -0.0046708 -0.3912141 0.3114819
aou + phosphate_star Atlantic (26,26.5] 0.4300772 0.1321752 0.7973664
aou + phosphate_star Atlantic (26.5,26.75] 0.4796013 0.3786756 0.6411307
aou + phosphate_star Atlantic (26.75,27] 0.2222188 0.0842917 0.3240950
aou + phosphate_star Atlantic (27,27.25] 0.1079916 -0.0375423 0.3056935
aou + phosphate_star Atlantic (27.25,27.5] 0.1051856 -0.0808192 0.3213433
aou + phosphate_star Atlantic (27.5,27.75] 0.5876151 0.4954788 0.6735107
aou + phosphate_star Atlantic (27.75,27.85] 0.7792143 0.7509359 0.8345555
aou + phosphate_star Atlantic (27.85,27.95] 0.7164088 0.6541662 0.7614266
aou + phosphate_star Atlantic (27.95,28.05] 0.8225135 0.7423182 0.9224381
aou + phosphate_star Atlantic (28.05,28.1] 0.8913122 0.8404144 0.9665203
aou + phosphate_star Atlantic (28.1,28.15] 0.9222166 0.9102596 0.9326315
aou + phosphate_star Atlantic (28.15,28.2] 0.9766519 0.9624803 0.9848581
aou + phosphate_star Atlantic (28.2, Inf] 0.7171355 0.6490846 0.8429139
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6693175 0.5307313 0.7555587
aou + phosphate_star Indo-Pacific (26,26.5] 0.5837717 0.5240940 0.6188757
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4266782 0.1688017 0.5786039
aou + phosphate_star Indo-Pacific (26.75,27] 0.3818999 0.3175560 0.4745062
aou + phosphate_star Indo-Pacific (27,27.25] 0.1504071 0.0554197 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] -0.2957834 -0.4968851 0.0532720
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.4758260 -0.6105114 -0.3604524
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.0706109 -0.1217541 0.0022432
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.2334948 0.1165401 0.3272652
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.4075649 0.3611234 0.4634936
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.6157020 -0.6504537 -0.5640415
aou + silicate Atlantic (-Inf,26] 0.2483086 0.0999433 0.4145649
aou + silicate Atlantic (26,26.5] 0.6752140 0.5721489 0.7731182
aou + silicate Atlantic (26.5,26.75] 0.8898595 0.8630962 0.9291670
aou + silicate Atlantic (26.75,27] 0.8813735 0.8604505 0.8978525
aou + silicate Atlantic (27,27.25] 0.7485513 0.7001785 0.8355002
aou + silicate Atlantic (27.25,27.5] 0.4386835 0.1974552 0.6853791
aou + silicate Atlantic (27.5,27.75] 0.6463627 0.5686096 0.6986785
aou + silicate Atlantic (27.75,27.85] 0.8599027 0.8457486 0.8725979
aou + silicate Atlantic (27.85,27.95] 0.8991805 0.8894100 0.9097791
aou + silicate Atlantic (27.95,28.05] 0.9463989 0.9389015 0.9587778
aou + silicate Atlantic (28.05,28.1] 0.9726957 0.9622239 0.9871131
aou + silicate Atlantic (28.1,28.15] 0.9753232 0.9722655 0.9793741
aou + silicate Atlantic (28.15,28.2] 0.9914205 0.9861528 0.9949392
aou + silicate Atlantic (28.2, Inf] 0.9091296 0.8734476 0.9335909
aou + silicate Indo-Pacific (-Inf,26] 0.7342122 0.6585781 0.8063089
aou + silicate Indo-Pacific (26,26.5] 0.6572498 0.5417991 0.7585899
aou + silicate Indo-Pacific (26.5,26.75] 0.6158987 0.4104356 0.7404216
aou + silicate Indo-Pacific (26.75,27] 0.7501441 0.6944079 0.7795344
aou + silicate Indo-Pacific (27,27.25] 0.8633912 0.8054567 0.9080614
aou + silicate Indo-Pacific (27.25,27.5] 0.8991978 0.8521049 0.9374566
aou + silicate Indo-Pacific (27.5,27.75] 0.9199124 0.8664890 0.9511857
aou + silicate Indo-Pacific (27.75,27.85] 0.9668533 0.9508782 0.9761360
aou + silicate Indo-Pacific (27.85,27.95] 0.9642729 0.9543989 0.9707377
aou + silicate Indo-Pacific (27.95,28.05] 0.9491873 0.9415492 0.9533539
aou + silicate Indo-Pacific (28.05,28.1] 0.9486127 0.9459875 0.9528102
aou + silicate Indo-Pacific (28.1, Inf] 0.6263672 0.5401927 0.6694759
oxygen + phosphate Atlantic (-Inf,26] -0.1674162 -0.4104103 0.0641100
oxygen + phosphate Atlantic (26,26.5] -0.4406083 -0.6340318 -0.2503399
oxygen + phosphate Atlantic (26.5,26.75] -0.7647928 -0.8281720 -0.6498762
oxygen + phosphate Atlantic (26.75,27] -0.7743550 -0.8714102 -0.6807798
oxygen + phosphate Atlantic (27,27.25] -0.6748693 -0.7574642 -0.5326930
oxygen + phosphate Atlantic (27.25,27.5] -0.4878919 -0.6095132 -0.3610448
oxygen + phosphate Atlantic (27.5,27.75] -0.6639666 -0.8346478 -0.4787250
oxygen + phosphate Atlantic (27.75,27.85] -0.8808883 -0.9296785 -0.8562542
oxygen + phosphate Atlantic (27.85,27.95] -0.9158667 -0.9438711 -0.8972977
oxygen + phosphate Atlantic (27.95,28.05] -0.9287904 -0.9647496 -0.8937457
oxygen + phosphate Atlantic (28.05,28.1] -0.9393797 -0.9822157 -0.8922176
oxygen + phosphate Atlantic (28.1,28.15] -0.9584996 -0.9641119 -0.9526257
oxygen + phosphate Atlantic (28.15,28.2] -0.9893669 -0.9941651 -0.9808489
oxygen + phosphate Atlantic (28.2, Inf] -0.8387832 -0.9065604 -0.7960997
oxygen + phosphate Indo-Pacific (-Inf,26] -0.7930285 -0.9142219 -0.7019392
oxygen + phosphate Indo-Pacific (26,26.5] -0.8864940 -0.9082971 -0.8594038
oxygen + phosphate Indo-Pacific (26.5,26.75] -0.8902712 -0.9168553 -0.8728122
oxygen + phosphate Indo-Pacific (26.75,27] -0.8842393 -0.8898956 -0.8744815
oxygen + phosphate Indo-Pacific (27,27.25] -0.9233286 -0.9555708 -0.8761859
oxygen + phosphate Indo-Pacific (27.25,27.5] -0.9395039 -0.9631710 -0.8950246
oxygen + phosphate Indo-Pacific (27.5,27.75] -0.9521420 -0.9704333 -0.9221370
oxygen + phosphate Indo-Pacific (27.75,27.85] -0.9752401 -0.9887694 -0.9585316
oxygen + phosphate Indo-Pacific (27.85,27.95] -0.9720875 -0.9878715 -0.9582296
oxygen + phosphate Indo-Pacific (27.95,28.05] -0.9467136 -0.9591235 -0.9309152
oxygen + phosphate Indo-Pacific (28.05,28.1] -0.9338575 -0.9526139 -0.9222755
oxygen + phosphate Indo-Pacific (28.1, Inf] -0.7020610 -0.7608328 -0.6369693
oxygen + phosphate_star Atlantic (-Inf,26] 0.3528865 0.0500131 0.5970716
oxygen + phosphate_star Atlantic (26,26.5] -0.0319199 -0.4264965 0.2905837
oxygen + phosphate_star Atlantic (26.5,26.75] -0.2731943 -0.4598066 -0.1296881
oxygen + phosphate_star Atlantic (26.75,27] -0.0391704 -0.1287144 0.0366768
oxygen + phosphate_star Atlantic (27,27.25] 0.0975925 -0.0997210 0.2017008
oxygen + phosphate_star Atlantic (27.25,27.5] 0.1736420 -0.0503131 0.3089785
oxygen + phosphate_star Atlantic (27.5,27.75] -0.3120462 -0.5272656 -0.0896321
oxygen + phosphate_star Atlantic (27.75,27.85] -0.6523957 -0.7566859 -0.5982221
oxygen + phosphate_star Atlantic (27.85,27.95] -0.6234716 -0.7023252 -0.5429232
oxygen + phosphate_star Atlantic (27.95,28.05] -0.7512223 -0.8819436 -0.6783013
oxygen + phosphate_star Atlantic (28.05,28.1] -0.8327954 -0.9487435 -0.7332019
oxygen + phosphate_star Atlantic (28.1,28.15] -0.8825460 -0.8983426 -0.8725450
oxygen + phosphate_star Atlantic (28.15,28.2] -0.9700198 -0.9835994 -0.9472213
oxygen + phosphate_star Atlantic (28.2, Inf] -0.6201236 -0.7758158 -0.5387402
oxygen + phosphate_star Indo-Pacific (-Inf,26] -0.3861119 -0.6074860 -0.1539277
oxygen + phosphate_star Indo-Pacific (26,26.5] -0.4255621 -0.4676614 -0.3769321
oxygen + phosphate_star Indo-Pacific (26.5,26.75] -0.2775835 -0.4205419 -0.0071261
oxygen + phosphate_star Indo-Pacific (26.75,27] -0.2179551 -0.3107928 -0.1579429
oxygen + phosphate_star Indo-Pacific (27,27.25] -0.0170436 -0.1348686 0.1312766
oxygen + phosphate_star Indo-Pacific (27.25,27.5] 0.4571403 0.3974966 0.5157307
oxygen + phosphate_star Indo-Pacific (27.5,27.75] 0.3199847 -0.1091433 0.6122944
oxygen + phosphate_star Indo-Pacific (27.75,27.85] 0.5158211 0.4360726 0.6144466
oxygen + phosphate_star Indo-Pacific (27.85,27.95] 0.1146866 0.0598608 0.1772438
oxygen + phosphate_star Indo-Pacific (27.95,28.05] -0.1571118 -0.2433196 -0.0445188
oxygen + phosphate_star Indo-Pacific (28.05,28.1] -0.3362079 -0.4034532 -0.2746486
oxygen + phosphate_star Indo-Pacific (28.1, Inf] 0.7065573 0.6673037 0.7342386
oxygen + silicate Atlantic (-Inf,26] 0.0740460 -0.1715993 0.2547323
oxygen + silicate Atlantic (26,26.5] -0.3515704 -0.4412467 -0.2235934
oxygen + silicate Atlantic (26.5,26.75] -0.7836869 -0.8436954 -0.7158471
oxygen + silicate Atlantic (26.75,27] -0.7944084 -0.8525194 -0.7406337
oxygen + silicate Atlantic (27,27.25] -0.6127201 -0.7169366 -0.5261458
oxygen + silicate Atlantic (27.25,27.5] -0.1942779 -0.4764353 0.0213081
oxygen + silicate Atlantic (27.5,27.75] -0.4015912 -0.5576857 -0.2067138
oxygen + silicate Atlantic (27.75,27.85] -0.7635908 -0.8042959 -0.7344798
oxygen + silicate Atlantic (27.85,27.95] -0.8380938 -0.8686412 -0.8205418
oxygen + silicate Atlantic (27.95,28.05] -0.8959268 -0.9213483 -0.8675450
oxygen + silicate Atlantic (28.05,28.1] -0.9353880 -0.9704777 -0.8998925
oxygen + silicate Atlantic (28.1,28.15] -0.9499802 -0.9535507 -0.9460925
oxygen + silicate Atlantic (28.15,28.2] -0.9877779 -0.9917614 -0.9805963
oxygen + silicate Atlantic (28.2, Inf] -0.8490122 -0.8881395 -0.8031895
oxygen + silicate Indo-Pacific (-Inf,26] -0.5099508 -0.7068590 -0.3570615
oxygen + silicate Indo-Pacific (26,26.5] -0.5398888 -0.6683985 -0.4221230
oxygen + silicate Indo-Pacific (26.5,26.75] -0.4981957 -0.6493148 -0.2760317
oxygen + silicate Indo-Pacific (26.75,27] -0.6376236 -0.6739034 -0.5692528
oxygen + silicate Indo-Pacific (27,27.25] -0.7926824 -0.8597978 -0.6943939
oxygen + silicate Indo-Pacific (27.25,27.5] -0.8486711 -0.9067036 -0.7684755
oxygen + silicate Indo-Pacific (27.5,27.75] -0.8755877 -0.9227396 -0.7911157
oxygen + silicate Indo-Pacific (27.75,27.85] -0.9512889 -0.9721552 -0.9203932
oxygen + silicate Indo-Pacific (27.85,27.95] -0.9499935 -0.9648651 -0.9322933
oxygen + silicate Indo-Pacific (27.95,28.05] -0.9243300 -0.9323370 -0.9106410
oxygen + silicate Indo-Pacific (28.05,28.1] -0.9254025 -0.9263804 -0.9236258
oxygen + silicate Indo-Pacific (28.1, Inf] -0.5374285 -0.5927076 -0.4299572
phosphate + phosphate_star Atlantic (-Inf,26] 0.8417941 0.6992611 0.9358873
phosphate + phosphate_star Atlantic (26,26.5] 0.9014826 0.8536369 0.9698602
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8221100 0.7499166 0.8785106
phosphate + phosphate_star Atlantic (26.75,27] 0.6462558 0.4582646 0.7495924
phosphate + phosphate_star Atlantic (27,27.25] 0.6554500 0.4963605 0.7485194
phosphate + phosphate_star Atlantic (27.25,27.5] 0.7675629 0.6750316 0.8224384
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9127247 0.9080826 0.9173402
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9327288 0.9261612 0.9443083
phosphate + phosphate_star Atlantic (27.85,27.95] 0.8834459 0.8468075 0.9054896
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9404093 0.9033721 0.9749010
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9713228 0.9612726 0.9912106
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9798787 0.9754099 0.9827341
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9950335 0.9915205 0.9973162
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9465203 0.9311984 0.9696368
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8617496 0.8117964 0.8962017
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.7940721 0.7552344 0.8324453
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6767405 0.4942636 0.7995575
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6465057 0.5909912 0.7328202
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.3913168 0.3627796 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] -0.0387328 -0.2587534 0.3458440
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.3193581 -0.4896367 -0.1615271
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.1145057 0.0487248 0.2281269
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.4623862 0.3254063 0.5807686
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.6478739 0.6019465 0.7257729
phosphate + phosphate_star Indo-Pacific (28.1, Inf] 0.0044632 -0.0947674 0.1490954
sal + aou Atlantic (-Inf,26] -0.1432646 -0.4515416 0.3475255
sal + aou Atlantic (26,26.5] -0.3201926 -0.7540350 -0.0089766
sal + aou Atlantic (26.5,26.75] -0.3104417 -0.5297627 -0.0916656
sal + aou Atlantic (26.75,27] -0.1615592 -0.2786631 0.0067566
sal + aou Atlantic (27,27.25] -0.1165768 -0.3548045 0.0723922
sal + aou Atlantic (27.25,27.5] -0.0813213 -0.3370859 0.1745205
sal + aou Atlantic (27.5,27.75] -0.5179065 -0.6268218 -0.4303694
sal + aou Atlantic (27.75,27.85] -0.5789004 -0.6947863 -0.4959685
sal + aou Atlantic (27.85,27.95] -0.3629963 -0.4900203 -0.1651523
sal + aou Atlantic (27.95,28.05] -0.5444372 -0.7817031 -0.2117975
sal + aou Atlantic (28.05,28.1] -0.7522458 -0.8748602 -0.6651277
sal + aou Atlantic (28.1,28.15] -0.8192995 -0.8471379 -0.7855980
sal + aou Atlantic (28.15,28.2] -0.9570206 -0.9830836 -0.9258731
sal + aou Atlantic (28.2, Inf] -0.7460679 -0.8727438 -0.6675143
sal + aou Indo-Pacific (-Inf,26] -0.1009165 -0.1352064 -0.0327037
sal + aou Indo-Pacific (26,26.5] -0.0454146 -0.2481356 0.1363007
sal + aou Indo-Pacific (26.5,26.75] -0.0497733 -0.3658215 0.2665079
sal + aou Indo-Pacific (26.75,27] -0.1459755 -0.3473383 0.0457714
sal + aou Indo-Pacific (27,27.25] -0.0649881 -0.1830167 0.1660639
sal + aou Indo-Pacific (27.25,27.5] 0.1377868 0.0643601 0.2796906
sal + aou Indo-Pacific (27.5,27.75] 0.2886377 0.1342531 0.4871885
sal + aou Indo-Pacific (27.75,27.85] -0.1591760 -0.4051461 0.1020511
sal + aou Indo-Pacific (27.85,27.95] -0.3664921 -0.6902419 -0.1163589
sal + aou Indo-Pacific (27.95,28.05] -0.3710596 -0.4619637 -0.2457736
sal + aou Indo-Pacific (28.05,28.1] -0.4568953 -0.5848017 -0.3673960
sal + aou Indo-Pacific (28.1, Inf] 0.4000127 0.2765693 0.4836507
sal + oxygen Atlantic (-Inf,26] -0.3068160 -0.6018367 -0.0830958
sal + oxygen Atlantic (26,26.5] -0.0940830 -0.4081977 0.3368707
sal + oxygen Atlantic (26.5,26.75] 0.0922200 -0.0688608 0.3329757
sal + oxygen Atlantic (26.75,27] -0.0209838 -0.1260055 0.0825327
sal + oxygen Atlantic (27,27.25] -0.0855749 -0.2229050 0.1542667
sal + oxygen Atlantic (27.25,27.5] -0.1912696 -0.3922490 0.0699327
sal + oxygen Atlantic (27.5,27.75] 0.2325269 0.0201987 0.4689222
sal + oxygen Atlantic (27.75,27.85] 0.4185409 0.2998878 0.5925420
sal + oxygen Atlantic (27.85,27.95] 0.2436699 0.0265106 0.4082932
sal + oxygen Atlantic (27.95,28.05] 0.4447584 0.1139659 0.7153856
sal + oxygen Atlantic (28.05,28.1] 0.6624337 0.5789025 0.8292691
sal + oxygen Atlantic (28.1,28.15] 0.7534079 0.7203871 0.7787160
sal + oxygen Atlantic (28.15,28.2] 0.9410378 0.8997154 0.9747515
sal + oxygen Atlantic (28.2, Inf] 0.6530541 0.5554187 0.8087762
sal + oxygen Indo-Pacific (-Inf,26] -0.2049084 -0.3225624 -0.0853819
sal + oxygen Indo-Pacific (26,26.5] -0.1337941 -0.2895367 0.0329220
sal + oxygen Indo-Pacific (26.5,26.75] -0.1107593 -0.4189775 0.1870082
sal + oxygen Indo-Pacific (26.75,27] -0.0259236 -0.2113746 0.1739144
sal + oxygen Indo-Pacific (27,27.25] -0.0719179 -0.3515906 0.0715461
sal + oxygen Indo-Pacific (27.25,27.5] -0.2467897 -0.4392475 -0.1477670
sal + oxygen Indo-Pacific (27.5,27.75] -0.3947749 -0.5708843 -0.2210226
sal + oxygen Indo-Pacific (27.75,27.85] 0.0892654 -0.2197215 0.3778925
sal + oxygen Indo-Pacific (27.85,27.95] 0.3099987 0.0234029 0.6777124
sal + oxygen Indo-Pacific (27.95,28.05] 0.2958454 0.1485588 0.4038045
sal + oxygen Indo-Pacific (28.05,28.1] 0.3810227 0.2769292 0.5276693
sal + oxygen Indo-Pacific (28.1, Inf] -0.4958183 -0.5911751 -0.3703990
sal + phosphate Atlantic (-Inf,26] -0.6674974 -0.7820996 -0.5430745
sal + phosphate Atlantic (26,26.5] -0.8108444 -0.9106026 -0.7555726
sal + phosphate Atlantic (26.5,26.75] -0.6648296 -0.7958907 -0.4410535
sal + phosphate Atlantic (26.75,27] -0.5830817 -0.7103664 -0.3527974
sal + phosphate Atlantic (27,27.25] -0.6473049 -0.7748703 -0.4488195
sal + phosphate Atlantic (27.25,27.5] -0.7277690 -0.8205324 -0.5666448
sal + phosphate Atlantic (27.5,27.75] -0.8381648 -0.8500802 -0.8286912
sal + phosphate Atlantic (27.75,27.85] -0.7676593 -0.8124161 -0.7242229
sal + phosphate Atlantic (27.85,27.95] -0.5753866 -0.6558290 -0.4163852
sal + phosphate Atlantic (27.95,28.05] -0.6925713 -0.8394380 -0.4308056
sal + phosphate Atlantic (28.05,28.1] -0.8424815 -0.8975681 -0.7678284
sal + phosphate Atlantic (28.1,28.15] -0.8850963 -0.9173239 -0.8539576
sal + phosphate Atlantic (28.15,28.2] -0.9626776 -0.9794588 -0.9536888
sal + phosphate Atlantic (28.2, Inf] -0.9500395 -0.9784209 -0.9210421
sal + phosphate Indo-Pacific (-Inf,26] -0.2199671 -0.2522199 -0.1978531
sal + phosphate Indo-Pacific (26,26.5] -0.2773404 -0.4960600 -0.0980940
sal + phosphate Indo-Pacific (26.5,26.75] -0.3020486 -0.6021266 -0.0358526
sal + phosphate Indo-Pacific (26.75,27] -0.4004903 -0.6011400 -0.2166537
sal + phosphate Indo-Pacific (27,27.25] -0.2470692 -0.3543849 -0.0875812
sal + phosphate Indo-Pacific (27.25,27.5] 0.0385895 -0.0184517 0.0674829
sal + phosphate Indo-Pacific (27.5,27.75] 0.3251282 0.1069794 0.6706634
sal + phosphate Indo-Pacific (27.75,27.85] -0.1826353 -0.3793168 0.0529917
sal + phosphate Indo-Pacific (27.85,27.95] -0.4106655 -0.6925250 -0.1626217
sal + phosphate Indo-Pacific (27.95,28.05] -0.5116451 -0.5966346 -0.3879426
sal + phosphate Indo-Pacific (28.05,28.1] -0.6183353 -0.7160040 -0.5687749
sal + phosphate Indo-Pacific (28.1, Inf] -0.1340679 -0.2265805 -0.0753210
sal + phosphate_star Atlantic (-Inf,26] -0.8254683 -0.8980924 -0.7017069
sal + phosphate_star Atlantic (26,26.5] -0.9626072 -0.9663574 -0.9589304
sal + phosphate_star Atlantic (26.5,26.75] -0.9261629 -0.9792901 -0.8219973
sal + phosphate_star Atlantic (26.75,27] -0.9712580 -0.9870860 -0.9469998
sal + phosphate_star Atlantic (27,27.25] -0.9805519 -0.9853382 -0.9712125
sal + phosphate_star Atlantic (27.25,27.5] -0.9731320 -0.9837478 -0.9521275
sal + phosphate_star Atlantic (27.5,27.75] -0.9470258 -0.9551832 -0.9327318
sal + phosphate_star Atlantic (27.75,27.85] -0.9134508 -0.9232617 -0.9045425
sal + phosphate_star Atlantic (27.85,27.95] -0.8452080 -0.8714906 -0.7945287
sal + phosphate_star Atlantic (27.95,28.05] -0.8461318 -0.9222741 -0.7178387
sal + phosphate_star Atlantic (28.05,28.1] -0.9101646 -0.9446164 -0.8593220
sal + phosphate_star Atlantic (28.1,28.15] -0.9339203 -0.9602568 -0.9092295
sal + phosphate_star Atlantic (28.15,28.2] -0.9655413 -0.9761462 -0.9510508
sal + phosphate_star Atlantic (28.2, Inf] -0.9859854 -0.9940342 -0.9793382
sal + phosphate_star Indo-Pacific (-Inf,26] -0.5171328 -0.5389392 -0.4999915
sal + phosphate_star Indo-Pacific (26,26.5] -0.7240844 -0.8392745 -0.6202371
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8405565 -0.9178041 -0.7841366
sal + phosphate_star Indo-Pacific (26.75,27] -0.8890168 -0.9339791 -0.8427789
sal + phosphate_star Indo-Pacific (27,27.25] -0.8325452 -0.8599267 -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] -0.1234873 -0.7611786 0.5427391
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.2722999 -0.5935319 0.2022713
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.3835630 -0.5877746 -0.0749978
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7494771 -0.7923241 -0.6991280
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8194795 -0.8746502 -0.7474471
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.8277533 -0.8552088 -0.8111767
sal + silicate Atlantic (-Inf,26] -0.7261494 -0.7525608 -0.6740976
sal + silicate Atlantic (26,26.5] -0.7796266 -0.9153686 -0.7102851
sal + silicate Atlantic (26.5,26.75] -0.5866197 -0.7294011 -0.3798612
sal + silicate Atlantic (26.75,27] -0.4743076 -0.5946755 -0.2657279
sal + silicate Atlantic (27,27.25] -0.6265728 -0.7124112 -0.5266697
sal + silicate Atlantic (27.25,27.5] -0.7804214 -0.8072218 -0.7380133
sal + silicate Atlantic (27.5,27.75] -0.8335519 -0.8724894 -0.8104220
sal + silicate Atlantic (27.75,27.85] -0.8068261 -0.8711408 -0.7518060
sal + silicate Atlantic (27.85,27.95] -0.6645767 -0.7424304 -0.5233429
sal + silicate Atlantic (27.95,28.05] -0.7297796 -0.8813418 -0.4777178
sal + silicate Atlantic (28.05,28.1] -0.8586566 -0.9215330 -0.7987466
sal + silicate Atlantic (28.1,28.15] -0.8986062 -0.9139383 -0.8712317
sal + silicate Atlantic (28.15,28.2] -0.9600948 -0.9814279 -0.9324982
sal + silicate Atlantic (28.2, Inf] -0.9288831 -0.9859207 -0.8845923
sal + silicate Indo-Pacific (-Inf,26] -0.5270930 -0.5734450 -0.4408109
sal + silicate Indo-Pacific (26,26.5] -0.5594750 -0.6826305 -0.4549151
sal + silicate Indo-Pacific (26.5,26.75] -0.6672722 -0.8095833 -0.5567328
sal + silicate Indo-Pacific (26.75,27] -0.6555953 -0.7628181 -0.4768095
sal + silicate Indo-Pacific (27,27.25] -0.4558834 -0.5432176 -0.3205614
sal + silicate Indo-Pacific (27.25,27.5] -0.1485818 -0.1965007 -0.0874834
sal + silicate Indo-Pacific (27.5,27.75] 0.1190636 -0.0579965 0.3812169
sal + silicate Indo-Pacific (27.75,27.85] -0.2108744 -0.3571247 -0.0466023
sal + silicate Indo-Pacific (27.85,27.95] -0.3894004 -0.6239515 -0.2031514
sal + silicate Indo-Pacific (27.95,28.05] -0.4335087 -0.4910533 -0.3501070
sal + silicate Indo-Pacific (28.05,28.1] -0.5445378 -0.6170559 -0.4767160
sal + silicate Indo-Pacific (28.1, Inf] -0.0734950 -0.1703735 0.0732319
sal + tem Atlantic (-Inf,26] 0.9243866 0.8381654 0.9836628
sal + tem Atlantic (26,26.5] 0.9689040 0.9614255 0.9743585
sal + tem Atlantic (26.5,26.75] 0.9689940 0.9283729 0.9899580
sal + tem Atlantic (26.75,27] 0.9731618 0.9560699 0.9835156
sal + tem Atlantic (27,27.25] 0.9739276 0.9655494 0.9804064
sal + tem Atlantic (27.25,27.5] 0.9651866 0.9459424 0.9754742
sal + tem Atlantic (27.5,27.75] 0.9511977 0.9293291 0.9632293
sal + tem Atlantic (27.75,27.85] 0.9721381 0.9542083 0.9813340
sal + tem Atlantic (27.85,27.95] 0.9291113 0.8991159 0.9512567
sal + tem Atlantic (27.95,28.05] 0.8732041 0.8069203 0.9305324
sal + tem Atlantic (28.05,28.1] 0.9499251 0.9127320 0.9696202
sal + tem Atlantic (28.1,28.15] 0.9418760 0.9168693 0.9692410
sal + tem Atlantic (28.15,28.2] 0.8792869 0.8448086 0.9065752
sal + tem Atlantic (28.2, Inf] 0.1242844 0.0276649 0.1790116
sal + tem Indo-Pacific (-Inf,26] 0.7709446 0.7412215 0.8182287
sal + tem Indo-Pacific (26,26.5] 0.9286350 0.8849934 0.9530410
sal + tem Indo-Pacific (26.5,26.75] 0.9782777 0.9690853 0.9832743
sal + tem Indo-Pacific (26.75,27] 0.9768624 0.9720412 0.9799282
sal + tem Indo-Pacific (27,27.25] 0.9501887 0.9326527 0.9710015
sal + tem Indo-Pacific (27.25,27.5] 0.8810593 0.8280724 0.9585099
sal + tem Indo-Pacific (27.5,27.75] 0.8641666 0.7977158 0.9159312
sal + tem Indo-Pacific (27.75,27.85] 0.8138537 0.6545628 0.9395278
sal + tem Indo-Pacific (27.85,27.95] 0.7036211 0.4548127 0.8728347
sal + tem Indo-Pacific (27.95,28.05] 0.7224713 0.6298824 0.8210732
sal + tem Indo-Pacific (28.05,28.1] 0.6987818 0.5756878 0.7977441
sal + tem Indo-Pacific (28.1, Inf] 0.7138260 0.5996297 0.8278324
silicate + phosphate Atlantic (-Inf,26] 0.6416577 0.6151173 0.6703874
silicate + phosphate Atlantic (26,26.5] 0.9168791 0.9020743 0.9253733
silicate + phosphate Atlantic (26.5,26.75] 0.9668808 0.9622374 0.9712821
silicate + phosphate Atlantic (26.75,27] 0.9507435 0.9407716 0.9610085
silicate + phosphate Atlantic (27,27.25] 0.9377999 0.9185888 0.9556204
silicate + phosphate Atlantic (27.25,27.5] 0.8621449 0.7619586 0.9280920
silicate + phosphate Atlantic (27.5,27.75] 0.8959625 0.8913960 0.9025059
silicate + phosphate Atlantic (27.75,27.85] 0.9536127 0.9486100 0.9622012
silicate + phosphate Atlantic (27.85,27.95] 0.9701883 0.9660126 0.9779890
silicate + phosphate Atlantic (27.95,28.05] 0.9796016 0.9759663 0.9861861
silicate + phosphate Atlantic (28.05,28.1] 0.9891717 0.9850664 0.9915874
silicate + phosphate Atlantic (28.1,28.15] 0.9932582 0.9920966 0.9941059
silicate + phosphate Atlantic (28.15,28.2] 0.9945504 0.9904101 0.9979614
silicate + phosphate Atlantic (28.2, Inf] 0.9863763 0.9807922 0.9966812
silicate + phosphate Indo-Pacific (-Inf,26] 0.7970067 0.7532736 0.8266286
silicate + phosphate Indo-Pacific (26,26.5] 0.7619353 0.6642843 0.8380775
silicate + phosphate Indo-Pacific (26.5,26.75] 0.7521585 0.5918573 0.8429329
silicate + phosphate Indo-Pacific (26.75,27] 0.8535242 0.8040469 0.8812693
silicate + phosphate Indo-Pacific (27,27.25] 0.8982683 0.8736363 0.9330540
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8839535 0.8592060 0.9262076
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8684476 0.8459587 0.8983565
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9510737 0.9308561 0.9640862
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9643449 0.9516445 0.9715323
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9592635 0.9505559 0.9637854
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9558185 0.9482961 0.9622048
silicate + phosphate Indo-Pacific (28.1, Inf] 0.7942203 0.7644862 0.8300839
silicate + phosphate_star Atlantic (-Inf,26] 0.6366914 0.5879842 0.7021616
silicate + phosphate_star Atlantic (26,26.5] 0.8440720 0.7942715 0.9407649
silicate + phosphate_star Atlantic (26.5,26.75] 0.7613263 0.7229402 0.8197783
silicate + phosphate_star Atlantic (26.75,27] 0.5519551 0.3915525 0.6496392
silicate + phosphate_star Atlantic (27,27.25] 0.6489643 0.5898768 0.7005654
silicate + phosphate_star Atlantic (27.25,27.5] 0.8415918 0.8273388 0.8510667
silicate + phosphate_star Atlantic (27.5,27.75] 0.9306729 0.9174791 0.9551222
silicate + phosphate_star Atlantic (27.75,27.85] 0.9493268 0.9353454 0.9676196
silicate + phosphate_star Atlantic (27.85,27.95] 0.9164859 0.8884907 0.9359810
silicate + phosphate_star Atlantic (27.95,28.05] 0.9331219 0.8893533 0.9698010
silicate + phosphate_star Atlantic (28.05,28.1] 0.9567132 0.9419911 0.9853204
silicate + phosphate_star Atlantic (28.1,28.15] 0.9748909 0.9683881 0.9855393
silicate + phosphate_star Atlantic (28.15,28.2] 0.9870362 0.9759047 0.9955390
silicate + phosphate_star Atlantic (28.2, Inf] 0.9205540 0.8771634 0.9753485
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7890529 0.7522686 0.8318447
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7857894 0.7483522 0.8083937
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.8015539 0.7209918 0.8535863
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7451556 0.7159369 0.7756234
silicate + phosphate_star Indo-Pacific (27,27.25] 0.4367303 0.4056670 0.4543556
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.1848546 -0.2468943 -0.0670824
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.2136161 -0.3915646 -0.0028587
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4132408 -0.6129553 -0.2477974
silicate + phosphate_star Indo-Pacific (27.85,27.95] 0.0579413 0.0037064 0.1476500
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.4012843 0.2858781 0.4946502
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.5528485 0.5198432 0.6009765
silicate + phosphate_star Indo-Pacific (28.1, Inf] 0.0305801 -0.0810146 0.1870916
tem + aou Atlantic (-Inf,26] -0.1743816 -0.4969123 0.3256589
tem + aou Atlantic (26,26.5] -0.3580329 -0.8053558 -0.0649893
tem + aou Atlantic (26.5,26.75] -0.3722841 -0.5394586 -0.2549241
tem + aou Atlantic (26.75,27] -0.1683674 -0.2684537 -0.0276806
tem + aou Atlantic (27,27.25] -0.0682557 -0.2812963 0.0881961
tem + aou Atlantic (27.25,27.5] -0.0475537 -0.2994314 0.1889626
tem + aou Atlantic (27.5,27.75] -0.4692662 -0.5735174 -0.3726367
tem + aou Atlantic (27.75,27.85] -0.5371895 -0.5972745 -0.4812475
tem + aou Atlantic (27.85,27.95] -0.2871178 -0.4114486 -0.0801036
tem + aou Atlantic (27.95,28.05] -0.5029701 -0.6507725 -0.3144163
tem + aou Atlantic (28.05,28.1] -0.6055560 -0.7966052 -0.4385820
tem + aou Atlantic (28.1,28.15] -0.6251286 -0.7359709 -0.5162407
tem + aou Atlantic (28.15,28.2] -0.7568571 -0.8386287 -0.7053858
tem + aou Atlantic (28.2, Inf] 0.3945630 0.3290807 0.4367369
tem + aou Indo-Pacific (-Inf,26] -0.2723472 -0.4109832 -0.1756575
tem + aou Indo-Pacific (26,26.5] -0.1190502 -0.2974707 -0.0164962
tem + aou Indo-Pacific (26.5,26.75] -0.0400474 -0.3350699 0.2574432
tem + aou Indo-Pacific (26.75,27] -0.1641702 -0.3441368 -0.0129495
tem + aou Indo-Pacific (27,27.25] -0.1429234 -0.2802564 0.0782669
tem + aou Indo-Pacific (27.25,27.5] 0.1101352 0.0034490 0.2629607
tem + aou Indo-Pacific (27.5,27.75] 0.3195645 0.1858558 0.5050516
tem + aou Indo-Pacific (27.75,27.85] -0.0032064 -0.1982387 0.1936379
tem + aou Indo-Pacific (27.85,27.95] -0.0703416 -0.2789347 0.0637697
tem + aou Indo-Pacific (27.95,28.05] 0.0906200 0.0763459 0.1173523
tem + aou Indo-Pacific (28.05,28.1] 0.1582755 0.0357532 0.2615890
tem + aou Indo-Pacific (28.1, Inf] 0.8408267 0.8004585 0.8667850
tem + oxygen Atlantic (-Inf,26] -0.3030869 -0.5951659 -0.1206498
tem + oxygen Atlantic (26,26.5] -0.0631834 -0.3662989 0.3951096
tem + oxygen Atlantic (26.5,26.75] 0.1501520 0.0229157 0.3410353
tem + oxygen Atlantic (26.75,27] -0.0187923 -0.0969456 0.0678025
tem + oxygen Atlantic (27,27.25] -0.1392797 -0.2470567 0.0727534
tem + oxygen Atlantic (27.25,27.5] -0.2342907 -0.4189103 0.0234851
tem + oxygen Atlantic (27.5,27.75] 0.1626846 -0.0599984 0.3923956
tem + oxygen Atlantic (27.75,27.85] 0.3665730 0.2786541 0.4775132
tem + oxygen Atlantic (27.85,27.95] 0.1550249 -0.0688684 0.2712348
tem + oxygen Atlantic (27.95,28.05] 0.3748894 0.1904284 0.5513913
tem + oxygen Atlantic (28.05,28.1] 0.4937831 0.3267804 0.7353029
tem + oxygen Atlantic (28.1,28.15] 0.5386124 0.4288408 0.6502208
tem + oxygen Atlantic (28.15,28.2] 0.7204515 0.6694534 0.8135067
tem + oxygen Atlantic (28.2, Inf] -0.5323950 -0.5910094 -0.4520965
tem + oxygen Indo-Pacific (-Inf,26] -0.1031201 -0.2745694 -0.0100674
tem + oxygen Indo-Pacific (26,26.5] -0.0728758 -0.1580124 0.0729347
tem + oxygen Indo-Pacific (26.5,26.75] -0.1251586 -0.4163080 0.1513389
tem + oxygen Indo-Pacific (26.75,27] -0.0123104 -0.1574711 0.1667299
tem + oxygen Indo-Pacific (27,27.25] -0.0002536 -0.2729761 0.1640281
tem + oxygen Indo-Pacific (27.25,27.5] -0.2324197 -0.4322640 -0.1005341
tem + oxygen Indo-Pacific (27.5,27.75] -0.4416834 -0.6026866 -0.2929571
tem + oxygen Indo-Pacific (27.75,27.85] -0.0780331 -0.3165264 0.1534029
tem + oxygen Indo-Pacific (27.85,27.95] -0.0054680 -0.1680901 0.2362149
tem + oxygen Indo-Pacific (27.95,28.05] -0.1860042 -0.1995946 -0.1673701
tem + oxygen Indo-Pacific (28.05,28.1] -0.2406214 -0.3537611 -0.1237291
tem + oxygen Indo-Pacific (28.1, Inf] -0.9012284 -0.9172228 -0.8760409
tem + phosphate Atlantic (-Inf,26] -0.5737454 -0.6217540 -0.4813899
tem + phosphate Atlantic (26,26.5] -0.8127119 -0.9137204 -0.7461798
tem + phosphate Atlantic (26.5,26.75] -0.7219494 -0.8013726 -0.5982804
tem + phosphate Atlantic (26.75,27] -0.5908528 -0.7059281 -0.3879969
tem + phosphate Atlantic (27,27.25] -0.6118580 -0.7235873 -0.4335709
tem + phosphate Atlantic (27.25,27.5] -0.7028507 -0.7945460 -0.5507688
tem + phosphate Atlantic (27.5,27.75] -0.7979194 -0.8160782 -0.7785202
tem + phosphate Atlantic (27.75,27.85] -0.7386035 -0.7599320 -0.7137399
tem + phosphate Atlantic (27.85,27.95] -0.4996791 -0.6373654 -0.3337133
tem + phosphate Atlantic (27.95,28.05] -0.6304825 -0.7264179 -0.4548313
tem + phosphate Atlantic (28.05,28.1] -0.7140492 -0.8185893 -0.5630099
tem + phosphate Atlantic (28.1,28.15] -0.7129984 -0.8231463 -0.6151388
tem + phosphate Atlantic (28.15,28.2] -0.7561551 -0.8159999 -0.6922176
tem + phosphate Atlantic (28.2, Inf] 0.1149220 0.0701460 0.1430906
tem + phosphate Indo-Pacific (-Inf,26] -0.4324320 -0.5910107 -0.2998380
tem + phosphate Indo-Pacific (26,26.5] -0.3679478 -0.5543036 -0.2683633
tem + phosphate Indo-Pacific (26.5,26.75] -0.3051266 -0.5843808 -0.0603493
tem + phosphate Indo-Pacific (26.75,27] -0.4338290 -0.6099013 -0.2910911
tem + phosphate Indo-Pacific (27,27.25] -0.3433012 -0.4220860 -0.1961448
tem + phosphate Indo-Pacific (27.25,27.5] -0.0184775 -0.1096232 0.0284870
tem + phosphate Indo-Pacific (27.5,27.75] 0.3479935 0.1237490 0.6725195
tem + phosphate Indo-Pacific (27.75,27.85] -0.0281936 -0.1669361 0.1343332
tem + phosphate Indo-Pacific (27.85,27.95] -0.1200123 -0.2780650 -0.0010696
tem + phosphate Indo-Pacific (27.95,28.05] -0.0710536 -0.0944506 -0.0398646
tem + phosphate Indo-Pacific (28.05,28.1] -0.0289602 -0.1498496 0.0490411
tem + phosphate Indo-Pacific (28.1, Inf] 0.3944451 0.2679137 0.4779643
tem + phosphate_star Atlantic (-Inf,26] -0.7318945 -0.8216824 -0.6327666
tem + phosphate_star Atlantic (26,26.5] -0.9514893 -0.9662142 -0.9440270
tem + phosphate_star Atlantic (26.5,26.75] -0.9570354 -0.9831278 -0.9089610
tem + phosphate_star Atlantic (26.75,27] -0.9793217 -0.9880366 -0.9660538
tem + phosphate_star Atlantic (27,27.25] -0.9842653 -0.9897957 -0.9757177
tem + phosphate_star Atlantic (27.25,27.5] -0.9755946 -0.9852903 -0.9573820
tem + phosphate_star Atlantic (27.5,27.75] -0.9333588 -0.9529755 -0.9026717
tem + phosphate_star Atlantic (27.75,27.85] -0.9073062 -0.9275607 -0.8905753
tem + phosphate_star Atlantic (27.85,27.95] -0.8004039 -0.8743779 -0.7502663
tem + phosphate_star Atlantic (27.95,28.05] -0.7884896 -0.8826831 -0.6772425
tem + phosphate_star Atlantic (28.05,28.1] -0.8201468 -0.8893416 -0.7112782
tem + phosphate_star Atlantic (28.1,28.15] -0.8007936 -0.8922391 -0.7248093
tem + phosphate_star Atlantic (28.15,28.2] -0.7712762 -0.8122706 -0.7028588
tem + phosphate_star Atlantic (28.2, Inf] -0.1489882 -0.2179165 -0.0480381
tem + phosphate_star Indo-Pacific (-Inf,26] -0.7506745 -0.8459975 -0.6170532
tem + phosphate_star Indo-Pacific (26,26.5] -0.8213438 -0.8986420 -0.7608949
tem + phosphate_star Indo-Pacific (26.5,26.75] -0.8671106 -0.9290601 -0.8071063
tem + phosphate_star Indo-Pacific (26.75,27] -0.9353959 -0.9612253 -0.9085892
tem + phosphate_star Indo-Pacific (27,27.25] -0.9136393 -0.9312277 -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] -0.2140148 -0.8192619 0.4267555
tem + phosphate_star Indo-Pacific (27.75,27.85] -0.4011292 -0.6718990 0.0137202
tem + phosphate_star Indo-Pacific (27.85,27.95] -0.5044227 -0.6762457 -0.2610595
tem + phosphate_star Indo-Pacific (27.95,28.05] -0.7343945 -0.8076554 -0.6766540
tem + phosphate_star Indo-Pacific (28.05,28.1] -0.5964383 -0.6160697 -0.5749309
tem + phosphate_star Indo-Pacific (28.1, Inf] -0.8757873 -0.8944860 -0.8648595
tem + silicate Atlantic (-Inf,26] -0.6224072 -0.6907364 -0.5118555
tem + silicate Atlantic (26,26.5] -0.7607022 -0.8811499 -0.6782082
tem + silicate Atlantic (26.5,26.75] -0.6518273 -0.7401620 -0.5527532
tem + silicate Atlantic (26.75,27] -0.5053257 -0.6058513 -0.3330611
tem + silicate Atlantic (27,27.25] -0.6229851 -0.6895759 -0.5534387
tem + silicate Atlantic (27.25,27.5] -0.8332092 -0.8378258 -0.8288195
tem + silicate Atlantic (27.5,27.75] -0.8642311 -0.8919458 -0.8390068
tem + silicate Atlantic (27.75,27.85] -0.8113282 -0.8564200 -0.7626576
tem + silicate Atlantic (27.85,27.95] -0.6180989 -0.7277576 -0.4641837
tem + silicate Atlantic (27.95,28.05] -0.7134765 -0.8095948 -0.5596467
tem + silicate Atlantic (28.05,28.1] -0.7428275 -0.8611493 -0.6125043
tem + silicate Atlantic (28.1,28.15] -0.7357393 -0.8171544 -0.6424877
tem + silicate Atlantic (28.15,28.2] -0.7582635 -0.8228728 -0.7255889
tem + silicate Atlantic (28.2, Inf] 0.1328867 0.1035429 0.1811469
tem + silicate Indo-Pacific (-Inf,26] -0.5967580 -0.7260970 -0.4499679
tem + silicate Indo-Pacific (26,26.5] -0.6097280 -0.7156437 -0.4703853
tem + silicate Indo-Pacific (26.5,26.75] -0.6660606 -0.8017637 -0.5602649
tem + silicate Indo-Pacific (26.75,27] -0.6678028 -0.7561768 -0.5323795
tem + silicate Indo-Pacific (27,27.25] -0.5247966 -0.6210395 -0.4123352
tem + silicate Indo-Pacific (27.25,27.5] -0.2262236 -0.2669660 -0.1471327
tem + silicate Indo-Pacific (27.5,27.75] 0.0529397 -0.1198311 0.3062197
tem + silicate Indo-Pacific (27.75,27.85] -0.1230091 -0.2532228 0.0094038
tem + silicate Indo-Pacific (27.85,27.95] -0.1946195 -0.3604705 -0.0905682
tem + silicate Indo-Pacific (27.95,28.05] -0.1000350 -0.1253313 -0.0704056
tem + silicate Indo-Pacific (28.05,28.1] 0.0336616 -0.1001331 0.1153910
tem + silicate Indo-Pacific (28.1, Inf] 0.2411614 0.0680485 0.3365357
rm(cor_predictors, cor_predictors_stats)

3.2.3 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 <-
  read_csv(here::here("data/eMLR",
                       "cor_Cstar_predictor.csv")) %>% 
  rename(predictor = rowname)

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")

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] 0.1962379 -0.0371786 0.5033064
aou Atlantic (26,26.5] -0.3152840 -0.6201297 -0.0224342
aou Atlantic (26.5,26.75] -0.5840182 -0.6700148 -0.5402426
aou Atlantic (26.75,27] -0.4939077 -0.4986205 -0.4872630
aou Atlantic (27,27.25] -0.4424529 -0.5506422 -0.3846990
aou Atlantic (27.25,27.5] -0.4374568 -0.5716618 -0.3101149
aou Atlantic (27.5,27.75] -0.8087856 -0.8823577 -0.7454535
aou Atlantic (27.75,27.85] -0.9368260 -0.9498178 -0.9249823
aou Atlantic (27.85,27.95] -0.9467996 -0.9597906 -0.9359819
aou Atlantic (27.95,28.05] -0.9206054 -0.9307407 -0.9142522
aou Atlantic (28.05,28.1] -0.9040499 -0.9272739 -0.8806348
aou Atlantic (28.1,28.15] -0.9307093 -0.9387451 -0.9164782
aou Atlantic (28.15,28.2] -0.9672658 -0.9682740 -0.9657233
aou Atlantic (28.2, Inf] -0.8359408 -0.9230036 -0.7911054
aou Indo-Pacific (-Inf,26] -0.5149052 -0.6400200 -0.4472197
aou Indo-Pacific (26,26.5] -0.8407364 -0.8517341 -0.8212178
aou Indo-Pacific (26.5,26.75] -0.8411202 -0.8622968 -0.8157234
aou Indo-Pacific (26.75,27] -0.8462493 -0.8901544 -0.8202075
aou Indo-Pacific (27,27.25] -0.6228797 -0.6737912 -0.5758841
aou Indo-Pacific (27.25,27.5] 0.0068697 -0.0729025 0.0801465
aou Indo-Pacific (27.5,27.75] -0.0416633 -0.4559617 0.2894476
aou Indo-Pacific (27.75,27.85] 0.4546896 0.2770580 0.5841937
aou Indo-Pacific (27.85,27.95] 0.2854072 0.1545060 0.4147307
aou Indo-Pacific (27.95,28.05] -0.1214957 -0.1998843 0.0217023
aou Indo-Pacific (28.05,28.1] -0.2517368 -0.3794373 -0.1798966
aou Indo-Pacific (28.1, Inf] 0.1316069 -0.0348118 0.3660777
oxygen Atlantic (-Inf,26] -0.2635989 -0.4741533 -0.1117546
oxygen Atlantic (26,26.5] -0.0051740 -0.3123412 0.3404195
oxygen Atlantic (26.5,26.75] 0.4149548 0.2967826 0.5192255
oxygen Atlantic (26.75,27] 0.3365427 0.2898871 0.4019115
oxygen Atlantic (27,27.25] 0.2555653 0.1515054 0.3720205
oxygen Atlantic (27.25,27.5] 0.1787039 0.0903432 0.3328796
oxygen Atlantic (27.5,27.75] 0.5999598 0.4166954 0.7921388
oxygen Atlantic (27.75,27.85] 0.8706697 0.8398607 0.9156512
oxygen Atlantic (27.85,27.95] 0.9170948 0.8997904 0.9475655
oxygen Atlantic (27.95,28.05] 0.8992918 0.8635961 0.9300740
oxygen Atlantic (28.05,28.1] 0.8847504 0.8518059 0.9407247
oxygen Atlantic (28.1,28.15] 0.9205329 0.9015037 0.9390123
oxygen Atlantic (28.15,28.2] 0.9684661 0.9628147 0.9742852
oxygen Atlantic (28.2, Inf] 0.7669378 0.7075446 0.8786036
oxygen Indo-Pacific (-Inf,26] 0.5187811 0.4489442 0.6463468
oxygen Indo-Pacific (26,26.5] 0.7547055 0.7058046 0.7868059
oxygen Indo-Pacific (26.5,26.75] 0.7587996 0.7285108 0.7996299
oxygen Indo-Pacific (26.75,27] 0.7690282 0.7368726 0.8244207
oxygen Indo-Pacific (27,27.25] 0.6094642 0.5465735 0.6892912
oxygen Indo-Pacific (27.25,27.5] 0.0337696 -0.0490524 0.1245063
oxygen Indo-Pacific (27.5,27.75] 0.1252141 -0.2009100 0.5429088
oxygen Indo-Pacific (27.75,27.85] -0.4160886 -0.5629082 -0.2079738
oxygen Indo-Pacific (27.85,27.95] -0.2623530 -0.4000667 -0.1137397
oxygen Indo-Pacific (27.95,28.05] 0.1155996 -0.0268951 0.1878919
oxygen Indo-Pacific (28.05,28.1] 0.2316176 0.1663804 0.3491391
oxygen Indo-Pacific (28.1, Inf] -0.1818398 -0.4177864 -0.0154040
phosphate Atlantic (-Inf,26] -0.4327703 -0.7948885 -0.1187246
phosphate Atlantic (26,26.5] -0.7761612 -0.8379815 -0.6830420
phosphate Atlantic (26.5,26.75] -0.8539502 -0.8694455 -0.8322186
phosphate Atlantic (26.75,27] -0.8250796 -0.8759120 -0.7767510
phosphate Atlantic (27,27.25] -0.8649319 -0.9020856 -0.8045281
phosphate Atlantic (27.25,27.5] -0.9336948 -0.9586613 -0.9003928
phosphate Atlantic (27.5,27.75] -0.9882297 -0.9905290 -0.9853573
phosphate Atlantic (27.75,27.85] -0.9821239 -0.9869017 -0.9744831
phosphate Atlantic (27.85,27.95] -0.9680738 -0.9712906 -0.9657589
phosphate Atlantic (27.95,28.05] -0.9512347 -0.9627544 -0.9391833
phosphate Atlantic (28.05,28.1] -0.9441532 -0.9553485 -0.9334168
phosphate Atlantic (28.1,28.15] -0.9593734 -0.9672896 -0.9503788
phosphate Atlantic (28.15,28.2] -0.9843571 -0.9870285 -0.9824927
phosphate Atlantic (28.2, Inf] -0.9828049 -0.9927772 -0.9722113
phosphate Indo-Pacific (-Inf,26] -0.5757096 -0.7038862 -0.5063925
phosphate Indo-Pacific (26,26.5] -0.9334241 -0.9448860 -0.9231474
phosphate Indo-Pacific (26.5,26.75] -0.9484077 -0.9541960 -0.9447109
phosphate Indo-Pacific (26.75,27] -0.9433704 -0.9628345 -0.9204828
phosphate Indo-Pacific (27,27.25] -0.7074515 -0.7269361 -0.6729956
phosphate Indo-Pacific (27.25,27.5] -0.1313102 -0.2527567 -0.0331105
phosphate Indo-Pacific (27.5,27.75] -0.2407063 -0.6995785 0.1761650
phosphate Indo-Pacific (27.75,27.85] 0.3446414 0.1547443 0.4817711
phosphate Indo-Pacific (27.85,27.95] 0.1562262 -0.0006677 0.3154189
phosphate Indo-Pacific (27.95,28.05] -0.2719782 -0.3645910 -0.0880230
phosphate Indo-Pacific (28.05,28.1] -0.4185162 -0.5442209 -0.3012822
phosphate Indo-Pacific (28.1, Inf] -0.2882605 -0.4338247 -0.0213370
phosphate_star Atlantic (-Inf,26] -0.5716662 -0.7982668 -0.4395738
phosphate_star Atlantic (26,26.5] -0.8787099 -0.9201545 -0.8431032
phosphate_star Atlantic (26.5,26.75] -0.9183591 -0.9349912 -0.9090733
phosphate_star Atlantic (26.75,27] -0.9092309 -0.9400878 -0.8541407
phosphate_star Atlantic (27,27.25] -0.9150161 -0.9387045 -0.8863060
phosphate_star Atlantic (27.25,27.5] -0.9252870 -0.9479061 -0.9077190
phosphate_star Atlantic (27.5,27.75] -0.9336899 -0.9425117 -0.9257936
phosphate_star Atlantic (27.75,27.85] -0.9113352 -0.9148401 -0.9076138
phosphate_star Atlantic (27.85,27.95] -0.8192714 -0.8483536 -0.7870877
phosphate_star Atlantic (27.95,28.05] -0.8787882 -0.9055045 -0.8355508
phosphate_star Atlantic (28.05,28.1] -0.9194620 -0.9313194 -0.9083668
phosphate_star Atlantic (28.1,28.15] -0.9398605 -0.9518319 -0.9181216
phosphate_star Atlantic (28.15,28.2] -0.9832579 -0.9842676 -0.9822025
phosphate_star Atlantic (28.2, Inf] -0.9647877 -0.9750375 -0.9532374
phosphate_star Indo-Pacific (-Inf,26] -0.4552095 -0.6141218 -0.3489480
phosphate_star Indo-Pacific (26,26.5] -0.8348439 -0.8793879 -0.8084991
phosphate_star Indo-Pacific (26.5,26.75] -0.7768607 -0.8804606 -0.6380077
phosphate_star Indo-Pacific (26.75,27] -0.7137152 -0.8215949 -0.6458558
phosphate_star Indo-Pacific (27,27.25] -0.3862453 -0.5088061 -0.3224569
phosphate_star Indo-Pacific (27.25,27.5] -0.2755320 -0.3886980 -0.1497934
phosphate_star Indo-Pacific (27.5,27.75] -0.4840017 -0.7705701 -0.1416168
phosphate_star Indo-Pacific (27.75,27.85] -0.5007388 -0.7408345 -0.2315430
phosphate_star Indo-Pacific (27.85,27.95] -0.4809896 -0.5537441 -0.3895350
phosphate_star Indo-Pacific (27.95,28.05] -0.5238548 -0.6168542 -0.4006077
phosphate_star Indo-Pacific (28.05,28.1] -0.5996761 -0.6745422 -0.4640165
phosphate_star Indo-Pacific (28.1, Inf] -0.5475604 -0.6637739 -0.4390730
sal Atlantic (-Inf,26] 0.3476690 0.2996309 0.4163900
sal Atlantic (26,26.5] 0.8134370 0.7831564 0.8666493
sal Atlantic (26.5,26.75] 0.7860393 0.6039653 0.8880440
sal Atlantic (26.75,27] 0.8524896 0.7396867 0.9102798
sal Atlantic (27,27.25] 0.8976174 0.8438029 0.9429090
sal Atlantic (27.25,27.5] 0.8895226 0.8214832 0.9378890
sal Atlantic (27.5,27.75] 0.8588990 0.8463384 0.8718977
sal Atlantic (27.75,27.85] 0.7479073 0.7081495 0.7902278
sal Atlantic (27.85,27.95] 0.4598823 0.3083417 0.5464505
sal Atlantic (27.95,28.05] 0.5523893 0.2690369 0.7123872
sal Atlantic (28.05,28.1] 0.7201343 0.6613456 0.7687060
sal Atlantic (28.1,28.15] 0.7890805 0.7499097 0.8441274
sal Atlantic (28.15,28.2] 0.9213980 0.9056371 0.9328099
sal Atlantic (28.2, Inf] 0.9543662 0.9265982 0.9766301
sal Indo-Pacific (-Inf,26] 0.1443403 0.1303290 0.1546539
sal Indo-Pacific (26,26.5] 0.4048335 0.2625329 0.6255706
sal Indo-Pacific (26.5,26.75] 0.4337514 0.2106493 0.7113481
sal Indo-Pacific (26.75,27] 0.4462745 0.2980179 0.6668893
sal Indo-Pacific (27,27.25] 0.0010683 -0.1258426 0.1903493
sal Indo-Pacific (27.25,27.5] -0.3890946 -0.5729609 -0.2139092
sal Indo-Pacific (27.5,27.75] -0.5985513 -0.8858929 -0.3342618
sal Indo-Pacific (27.75,27.85] -0.4349627 -0.5218193 -0.3141648
sal Indo-Pacific (27.85,27.95] -0.2636138 -0.3691842 -0.0940164
sal Indo-Pacific (27.95,28.05] 0.1868750 0.0427199 0.3360299
sal Indo-Pacific (28.05,28.1] 0.2957974 0.2258232 0.4167223
sal Indo-Pacific (28.1, Inf] 0.3148342 0.2540835 0.4136392
silicate Atlantic (-Inf,26] -0.3471374 -0.6218264 -0.0855565
silicate Atlantic (26,26.5] -0.7481636 -0.8500649 -0.6412899
silicate Atlantic (26.5,26.75] -0.8145445 -0.8354718 -0.8011666
silicate Atlantic (26.75,27] -0.7479592 -0.7773250 -0.7169040
silicate Atlantic (27,27.25] -0.8410861 -0.8435366 -0.8390693
silicate Atlantic (27.25,27.5] -0.8874037 -0.9011691 -0.8665235
silicate Atlantic (27.5,27.75] -0.8936111 -0.9056000 -0.8753326
silicate Atlantic (27.75,27.85] -0.9132461 -0.9248236 -0.9008202
silicate Atlantic (27.85,27.95] -0.9059987 -0.9207020 -0.8981879
silicate Atlantic (27.95,28.05] -0.9005218 -0.9282317 -0.8789909
silicate Atlantic (28.05,28.1] -0.9106977 -0.9301316 -0.8980040
silicate Atlantic (28.1,28.15] -0.9403432 -0.9538044 -0.9304294
silicate Atlantic (28.15,28.2] -0.9749233 -0.9794229 -0.9692107
silicate Atlantic (28.2, Inf] -0.9593603 -0.9901692 -0.9269682
silicate Indo-Pacific (-Inf,26] -0.5180154 -0.6288626 -0.4567030
silicate Indo-Pacific (26,26.5] -0.7760733 -0.8161663 -0.7162793
silicate Indo-Pacific (26.5,26.75] -0.7668757 -0.8437098 -0.6341042
silicate Indo-Pacific (26.75,27] -0.7701662 -0.7995253 -0.7182576
silicate Indo-Pacific (27,27.25] -0.4271802 -0.5036758 -0.3849373
silicate Indo-Pacific (27.25,27.5] 0.2548866 0.1935102 0.2881561
silicate Indo-Pacific (27.5,27.75] 0.1382496 -0.3023333 0.5405623
silicate Indo-Pacific (27.75,27.85] 0.5161567 0.3737043 0.6335329
silicate Indo-Pacific (27.85,27.95] 0.2814989 0.1568541 0.4182219
silicate Indo-Pacific (27.95,28.05] -0.1474978 -0.2375041 0.0164143
silicate Indo-Pacific (28.05,28.1] -0.3077753 -0.4291197 -0.2382106
silicate Indo-Pacific (28.1, Inf] -0.2072558 -0.3324222 -0.0587563
tem Atlantic (-Inf,26] 0.1189611 -0.0827931 0.3088210
tem Atlantic (26,26.5] 0.7722566 0.7200321 0.8169447
tem Atlantic (26.5,26.75] 0.8217590 0.7343439 0.8735358
tem Atlantic (26.75,27] 0.8467874 0.7556874 0.8971559
tem Atlantic (27,27.25] 0.8729027 0.8324803 0.9066721
tem Atlantic (27.25,27.5] 0.8645627 0.8039766 0.9128891
tem Atlantic (27.5,27.75] 0.8114848 0.7840849 0.8284506
tem Atlantic (27.75,27.85] 0.7115430 0.6959796 0.7324943
tem Atlantic (27.85,27.95] 0.4041541 0.2469741 0.5506878
tem Atlantic (27.95,28.05] 0.5128440 0.3266584 0.6569443
tem Atlantic (28.05,28.1] 0.5874385 0.4727863 0.6720668
tem Atlantic (28.1,28.15] 0.5908305 0.5110488 0.7279052
tem Atlantic (28.15,28.2] 0.6764127 0.6108550 0.7130884
tem Atlantic (28.2, Inf] -0.0562982 -0.1283263 0.0232188
tem Indo-Pacific (-Inf,26] -0.0028059 -0.0794153 0.0631445
tem Indo-Pacific (26,26.5] 0.4465913 0.3214697 0.6341563
tem Indo-Pacific (26.5,26.75] 0.4292183 0.2218006 0.6913863
tem Indo-Pacific (26.75,27] 0.4893808 0.3790500 0.6861830
tem Indo-Pacific (27,27.25] 0.1391987 0.0326513 0.3300104
tem Indo-Pacific (27.25,27.5] -0.3363825 -0.5117782 -0.1917468
tem Indo-Pacific (27.5,27.75] -0.6372165 -0.8870304 -0.3884786
tem Indo-Pacific (27.75,27.85] -0.4471220 -0.5549833 -0.3217166
tem Indo-Pacific (27.85,27.95] -0.3308109 -0.4395518 -0.1738875
tem Indo-Pacific (27.95,28.05] 0.0310968 -0.0262811 0.0715985
tem Indo-Pacific (28.05,28.1] 0.1150922 0.1068726 0.1233232
tem Indo-Pacific (28.1, Inf] 0.2932324 0.1233658 0.5486616
rm(cor_Cstar_predictor, cor_Cstar_predictor_stats)

4 Open tasks

  • combine correlation, rmse and model calculation into one routine, ideally using the purrr map approach

5 Open questions


sessionInfo()
R version 4.0.2 (2020-06-22)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)

Matrix products: default

locale:
[1] LC_COLLATE=English_Germany.1252  LC_CTYPE=English_Germany.1252   
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C                    
[5] LC_TIME=English_Germany.1252    

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.2      broom_0.7.0      kableExtra_1.1.0 knitr_1.29      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     patchwork_1.0.1  lubridate_1.7.9 
 [9] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.0      purrr_0.3.4     
[13] readr_1.3.1      tidyr_1.1.0      tibble_3.0.3     ggplot2_3.3.2   
[17] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.4.2           webshot_0.5.2      RColorBrewer_1.1-2 httr_1.4.2        
 [5] rprojroot_1.3-2    tools_4.0.2        backports_1.1.8    R6_2.4.1          
 [9] nortest_1.0-4      DBI_1.1.0          colorspace_1.4-1   withr_2.2.0       
[13] tidyselect_1.1.0   gridExtra_2.3      curl_4.3           compiler_4.0.2    
[17] git2r_0.27.1       cli_2.0.2          rvest_0.3.6        xml2_1.3.2        
[21] labeling_0.3       scales_1.1.1       goftest_1.2-2      digest_0.6.25     
[25] foreign_0.8-80     rmarkdown_2.3      rio_0.5.16         pkgconfig_2.0.3   
[29] htmltools_0.5.0    dbplyr_1.4.4       highr_0.8          rlang_0.4.7       
[33] readxl_1.3.1       rstudioapi_0.11    generics_0.0.2     farver_2.0.3      
[37] jsonlite_1.7.0     zip_2.0.4          car_3.0-8          magrittr_1.5      
[41] Rcpp_1.0.5         munsell_0.5.0      fansi_0.4.1        abind_1.4-5       
[45] lifecycle_0.2.0    stringi_1.4.6      whisker_0.4        yaml_2.2.1        
[49] carData_3.0-4      plyr_1.8.6         grid_4.0.2         blob_1.2.1        
[53] promises_1.1.1     crayon_1.3.4       haven_2.3.1        hms_0.5.3         
[57] pillar_1.4.6       reprex_0.3.0       glue_1.4.1         evaluate_0.14     
[61] data.table_1.13.0  modelr_0.1.8       vctrs_0.3.2        httpuv_1.5.4      
[65] cellranger_1.1.0   gtable_0.3.0       reshape_0.8.8      assertthat_0.2.1  
[69] xfun_0.16          openxlsx_4.1.5     later_1.1.0.1      viridisLite_0.3.0 
[73] ellipsis_0.3.1     here_0.1