Last updated: 2020-08-24

Checks: 7 0

Knit directory: Cant_eMLR/

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R Markdown file: up-to-date

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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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Cache: none

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File paths: relative

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Repository version: a804955

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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:  output/figure/mapping/

Unstaged changes:
    Modified:   analysis/_site.yml
    Deleted:    analysis/mapping.Rmd
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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
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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

eMLR - assumption testing

Jens Daniel Müller

24 August, 2020