Last updated: 2020-12-01

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path_functions      <- "/nfs/kryo/work/updata/emlr_cant/utilities/functions/"
path_files          <- "/nfs/kryo/work/updata/emlr_cant/utilities/files/"

path_preprocessing    <-
  "/nfs/kryo/work/updata/emlr_cant/observations/preprocessing/"

path_version_data     <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/data/",
    sep = ""
  )

path_version_figures  <-
  paste(
    "/nfs/kryo/work/updata/emlr_cant/observations/",
    params_local$Version_ID,
    "/figures/",
    sep = ""
  )

1 Libraries

Loading libraries specific to the the analysis performed in this section.

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

2 Required data

Required are:

cleaned and prepared GLODAPv2.2020 file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

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"))))

Version	Author	Date
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin: Indo-Pacific | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Indo-Pacific") )))

Version	Author	Date
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

if (params_local$plot_all_figures == "y") {

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_highlight <- GLODAP_basin_era %>%
        mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                         "in", "out")) %>%
        arrange(desc(gamma_highlight))
      
      p <- GLODAP_highlight %>%
        ggpairs(
          columns = c(
            "cstar",
            "sal",
            "tem",
            "aou",
            "oxygen",
            "silicate",
            "phosphate",
            "phosphate_star"
          ),
          ggplot2::aes(
            col = gamma_highlight,
            fill = gamma_highlight,
            alpha = 0.01
          )
        ) +
        scale_fill_manual(values = c("red", "grey")) +
        scale_color_manual(values = c("red", "grey")) +
        labs(
          title = paste(
            i_basin,
            "|",
            i_era,
            "| Gamma slab",
            i_gamma_slab,
            "| # obs total",
            nrow(GLODAP_basin_era),
            "| # obs slab",
            nrow(GLODAP_highlight %>%
                   filter(gamma_highlight == "in"))
          )
        )
      
      png(
        filename = paste(
          path_version_figures,
          "Observations_correlation/",
          paste(
            "predictor_correlation",
            i_basin,
            i_era,
            i_gamma_slab,
            ".png",
            sep = "_"
          ),
          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_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

Version	Author	Date
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + oxygen	Atlantic	(-Inf,26]	-0.9210752	-0.9538543	-0.8853583
aou + oxygen	Atlantic	(26,26.5]	-0.8881004	-0.9122340	-0.8408464
aou + oxygen	Atlantic	(26.5,26.75]	-0.9696370	-0.9820812	-0.9527269
aou + oxygen	Atlantic	(26.75,27]	-0.9810172	-0.9913860	-0.9721058
aou + oxygen	Atlantic	(27,27.25]	-0.9762627	-0.9845091	-0.9657187
aou + oxygen	Atlantic	(27.25,27.5]	-0.9458876	-0.9546374	-0.9289641
aou + oxygen	Atlantic	(27.5,27.75]	-0.9323392	-0.9671125	-0.9052487
aou + oxygen	Atlantic	(27.75,27.85]	-0.9709695	-0.9813518	-0.9607842
aou + oxygen	Atlantic	(27.85,27.95]	-0.9885852	-0.9927688	-0.9864162
aou + oxygen	Atlantic	(27.95,28.05]	-0.9886018	-0.9918302	-0.9839663
aou + oxygen	Atlantic	(28.05,28.1]	-0.9890183	-0.9946799	-0.9820322
aou + oxygen	Atlantic	(28.1,28.15]	-0.9932511	-0.9945640	-0.9922304
aou + oxygen	Atlantic	(28.15,28.2]	-0.9979748	-0.9988573	-0.9974303
aou + oxygen	Atlantic	(28.2, Inf]	-0.9833299	-0.9895300	-0.9739090
aou + oxygen	Indo-Pacific	(-Inf,26]	-0.9220678	-0.9644994	-0.8942352
aou + oxygen	Indo-Pacific	(26,26.5]	-0.9817925	-0.9850603	-0.9753497
aou + oxygen	Indo-Pacific	(26.5,26.75]	-0.9856857	-0.9883603	-0.9829294
aou + oxygen	Indo-Pacific	(26.75,27]	-0.9842471	-0.9857587	-0.9834144
aou + oxygen	Indo-Pacific	(27,27.25]	-0.9910084	-0.9929277	-0.9871944
aou + oxygen	Indo-Pacific	(27.25,27.5]	-0.9923465	-0.9952587	-0.9869129
aou + oxygen	Indo-Pacific	(27.5,27.75]	-0.9912967	-0.9936503	-0.9872213
aou + oxygen	Indo-Pacific	(27.75,27.85]	-0.9961710	-0.9989593	-0.9925303
aou + oxygen	Indo-Pacific	(27.85,27.95]	-0.9964687	-0.9987338	-0.9942513
aou + oxygen	Indo-Pacific	(27.95,28.05]	-0.9948675	-0.9960943	-0.9932342
aou + oxygen	Indo-Pacific	(28.05,28.1]	-0.9949621	-0.9958482	-0.9939395
aou + oxygen	Indo-Pacific	(28.1, Inf]	-0.9910517	-0.9926673	-0.9881660
aou + phosphate	Atlantic	(-Inf,26]	0.5689947	0.3605123	0.7434863
aou + phosphate	Atlantic	(26,26.5]	0.7620172	0.6299872	0.8975025
aou + phosphate	Atlantic	(26.5,26.75]	0.8818707	0.8402621	0.9197556
aou + phosphate	Atlantic	(26.75,27]	0.8727681	0.8327756	0.9172064
aou + phosphate	Atlantic	(27,27.25]	0.8431516	0.8038253	0.8821878
aou + phosphate	Atlantic	(27.25,27.5]	0.7359397	0.6862061	0.7926507
aou + phosphate	Atlantic	(27.5,27.75]	0.8669679	0.8257318	0.9173248
aou + phosphate	Atlantic	(27.75,27.85]	0.9404207	0.9241798	0.9642200
aou + phosphate	Atlantic	(27.85,27.95]	0.9535627	0.9459243	0.9628152
aou + phosphate	Atlantic	(27.95,28.05]	0.9621850	0.9511837	0.9830430
aou + phosphate	Atlantic	(28.05,28.1]	0.9683516	0.9487489	0.9861289
aou + phosphate	Atlantic	(28.1,28.15]	0.9807303	0.9776340	0.9833587
aou + phosphate	Atlantic	(28.15,28.2]	0.9920505	0.9887725	0.9944404
aou + phosphate	Atlantic	(28.2, Inf]	0.8366257	0.6879006	0.9447263
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9399344	0.9074036	0.9653313
aou + phosphate	Indo-Pacific	(26,26.5]	0.9557211	0.9505935	0.9629755
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9519295	0.9400932	0.9630614
aou + phosphate	Indo-Pacific	(26.75,27]	0.9505858	0.9463419	0.9535104
aou + phosphate	Indo-Pacific	(27,27.25]	0.9692888	0.9579338	0.9793673
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9679110	0.9569239	0.9782868
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9561198	0.9505058	0.9590257
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9800476	0.9678177	0.9882885
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9777202	0.9655393	0.9884881
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9639538	0.9509206	0.9741448
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9523880	0.9420098	0.9656907
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7713293	0.7101089	0.8250526
aou + phosphate_star	Atlantic	(-Inf,26]	0.0429178	-0.3943265	0.3362197
aou + phosphate_star	Atlantic	(26,26.5]	0.4141354	0.1179942	0.7489838
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4381314	0.3116008	0.5982470
aou + phosphate_star	Atlantic	(26.75,27]	0.1949678	0.0809328	0.2556932
aou + phosphate_star	Atlantic	(27,27.25]	0.2612397	0.0434229	0.4574559
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2309670	0.1533082	0.3390705
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5967571	0.5274223	0.6700944
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7356616	0.6714489	0.8036255
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7087179	0.6914005	0.7270557
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8216495	0.7515084	0.9184608
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8839822	0.8196335	0.9496522
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9258714	0.9164755	0.9356976
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9742222	0.9598697	0.9842209
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5560655	0.1711696	0.8316891
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6637260	0.5373306	0.7305231
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.5845506	0.5276381	0.6244718
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4239260	0.1766281	0.5779456
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.3791636	0.3179066	0.4680905
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1096405	-0.0554958	0.2307605
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3903647	-0.4372709	-0.3445722
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3170452	-0.5775859	0.0575821
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5134961	-0.6072076	-0.4620515
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1459221	-0.1683655	-0.1202353
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1563843	0.0599954	0.2176460
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3209820	0.2595290	0.4137902
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6457128	-0.6890703	-0.5914079
aou + silicate	Atlantic	(-Inf,26]	0.3399487	0.0961103	0.5754309
aou + silicate	Atlantic	(26,26.5]	0.6772439	0.5771949	0.7660910
aou + silicate	Atlantic	(26.5,26.75]	0.8886025	0.8700364	0.9214654
aou + silicate	Atlantic	(26.75,27]	0.8721720	0.8422815	0.8983606
aou + silicate	Atlantic	(27,27.25]	0.8009337	0.7423022	0.8729256
aou + silicate	Atlantic	(27.25,27.5]	0.5404507	0.4230008	0.6871112
aou + silicate	Atlantic	(27.5,27.75]	0.6807189	0.6481381	0.7422384
aou + silicate	Atlantic	(27.75,27.85]	0.8514006	0.8240218	0.8789206
aou + silicate	Atlantic	(27.85,27.95]	0.8986513	0.8887057	0.9087272
aou + silicate	Atlantic	(27.95,28.05]	0.9451969	0.9389554	0.9574865
aou + silicate	Atlantic	(28.05,28.1]	0.9705431	0.9578447	0.9826895
aou + silicate	Atlantic	(28.1,28.15]	0.9774897	0.9738770	0.9800912
aou + silicate	Atlantic	(28.15,28.2]	0.9910801	0.9882745	0.9933202
aou + silicate	Atlantic	(28.2, Inf]	0.8513076	0.7442040	0.9298133
aou + silicate	Indo-Pacific	(-Inf,26]	0.7397582	0.6747236	0.8047999
aou + silicate	Indo-Pacific	(26,26.5]	0.6568471	0.5410996	0.7511108
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6122051	0.4145844	0.7306881
aou + silicate	Indo-Pacific	(26.75,27]	0.7476919	0.6953753	0.7746168
aou + silicate	Indo-Pacific	(27,27.25]	0.8768329	0.8476834	0.9058018
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9045950	0.8725306	0.9351112
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9210461	0.8758081	0.9467386
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9654229	0.9479156	0.9761985
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9613382	0.9481756	0.9699239
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9467809	0.9378697	0.9523270
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9469161	0.9449646	0.9484274
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6250031	0.4996577	0.6883816
oxygen + phosphate	Atlantic	(-Inf,26]	-0.3418647	-0.5219585	-0.1474894
oxygen + phosphate	Atlantic	(26,26.5]	-0.4323649	-0.5795976	-0.2701576
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.7466955	-0.8100534	-0.6391082
oxygen + phosphate	Atlantic	(26.75,27]	-0.7651696	-0.8596036	-0.6818942
oxygen + phosphate	Atlantic	(27,27.25]	-0.7105816	-0.7683184	-0.6251270
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.4837410	-0.5794747	-0.3743615
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.6483930	-0.8023453	-0.5287077
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.8411065	-0.9045691	-0.8041696
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.9051241	-0.9322139	-0.8881336
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.9243783	-0.9643825	-0.8926028
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.9314339	-0.9740612	-0.8819955
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.9577026	-0.9664617	-0.9490616
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9881598	-0.9938124	-0.9795958
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7499612	-0.9021662	-0.5423359
oxygen + phosphate	Indo-Pacific	(-Inf,26]	-0.7862454	-0.9032623	-0.6906567
oxygen + phosphate	Indo-Pacific	(26,26.5]	-0.8893117	-0.9084707	-0.8655858
oxygen + phosphate	Indo-Pacific	(26.5,26.75]	-0.8918674	-0.9160933	-0.8740913
oxygen + phosphate	Indo-Pacific	(26.75,27]	-0.8854172	-0.8916323	-0.8767115
oxygen + phosphate	Indo-Pacific	(27,27.25]	-0.9340668	-0.9555268	-0.9070964
oxygen + phosphate	Indo-Pacific	(27.25,27.5]	-0.9445130	-0.9628987	-0.9104178
oxygen + phosphate	Indo-Pacific	(27.5,27.75]	-0.9526026	-0.9707371	-0.9241545
oxygen + phosphate	Indo-Pacific	(27.75,27.85]	-0.9723783	-0.9887399	-0.9510259
oxygen + phosphate	Indo-Pacific	(27.85,27.95]	-0.9675189	-0.9861357	-0.9491900
oxygen + phosphate	Indo-Pacific	(27.95,28.05]	-0.9407701	-0.9551042	-0.9221251
oxygen + phosphate	Indo-Pacific	(28.05,28.1]	-0.9246553	-0.9418615	-0.9153923
oxygen + phosphate	Indo-Pacific	(28.1, Inf]	-0.6928896	-0.7569192	-0.6138085
oxygen + phosphate_star	Atlantic	(-Inf,26]	0.2335784	-0.0326522	0.5998408
oxygen + phosphate_star	Atlantic	(26,26.5]	-0.0057782	-0.3245808	0.2892807
oxygen + phosphate_star	Atlantic	(26.5,26.75]	-0.2178914	-0.4049578	-0.1108167
oxygen + phosphate_star	Atlantic	(26.75,27]	-0.0099064	-0.0521215	0.0465560
oxygen + phosphate_star	Atlantic	(27,27.25]	-0.0548123	-0.2669300	0.1299694
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.0890013	-0.0477493	0.1712288
oxygen + phosphate_star	Atlantic	(27.5,27.75]	-0.2899180	-0.4777313	-0.1350067
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.5642524	-0.6857837	-0.4843981
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.6064827	-0.6536993	-0.5723309
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.7470388	-0.8775151	-0.6747859
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.8192775	-0.9257522	-0.7087090
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.8839606	-0.9036748	-0.8661987
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.9663240	-0.9823756	-0.9429150
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.4330262	-0.7615269	0.0194009
oxygen + phosphate_star	Indo-Pacific	(-Inf,26]	-0.3765236	-0.5706185	-0.1584270
oxygen + phosphate_star	Indo-Pacific	(26,26.5]	-0.4307128	-0.4642062	-0.3826324
oxygen + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.2765247	-0.4248449	-0.0153823
oxygen + phosphate_star	Indo-Pacific	(26.75,27]	-0.2169481	-0.3068553	-0.1611387
oxygen + phosphate_star	Indo-Pacific	(27,27.25]	0.0101716	-0.1287786	0.2033718
oxygen + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4696153	0.3901912	0.5614765
oxygen + phosphate_star	Indo-Pacific	(27.5,27.75]	0.3343969	-0.1140382	0.6758984
oxygen + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5513506	0.5116497	0.6108994
oxygen + phosphate_star	Indo-Pacific	(27.85,27.95]	0.1960124	0.1418965	0.2280981
oxygen + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.0747479	-0.1287166	0.0169182
oxygen + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2395722	-0.3455146	-0.1634257
oxygen + phosphate_star	Indo-Pacific	(28.1, Inf]	0.7322639	0.6940630	0.7645888
oxygen + silicate	Atlantic	(-Inf,26]	-0.0894472	-0.3797872	0.1409389
oxygen + silicate	Atlantic	(26,26.5]	-0.3570185	-0.4136890	-0.2497587
oxygen + silicate	Atlantic	(26.5,26.75]	-0.7749850	-0.8285857	-0.7088025
oxygen + silicate	Atlantic	(26.75,27]	-0.7841325	-0.8512577	-0.7225555
oxygen + silicate	Atlantic	(27,27.25]	-0.6716258	-0.7674405	-0.6191414
oxygen + silicate	Atlantic	(27.25,27.5]	-0.2677352	-0.4605697	-0.1595736
oxygen + silicate	Atlantic	(27.5,27.75]	-0.4288128	-0.5855856	-0.3303758
oxygen + silicate	Atlantic	(27.75,27.85]	-0.7320099	-0.7968375	-0.6733727
oxygen + silicate	Atlantic	(27.85,27.95]	-0.8324342	-0.8627791	-0.8102405
oxygen + silicate	Atlantic	(27.95,28.05]	-0.8925670	-0.9190641	-0.8698766
oxygen + silicate	Atlantic	(28.05,28.1]	-0.9293936	-0.9624466	-0.8927652
oxygen + silicate	Atlantic	(28.1,28.15]	-0.9516559	-0.9544763	-0.9494733
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9873005	-0.9914727	-0.9827329
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7661458	-0.8828302	-0.6042015
oxygen + silicate	Indo-Pacific	(-Inf,26]	-0.5180208	-0.7062389	-0.3780615
oxygen + silicate	Indo-Pacific	(26,26.5]	-0.5457613	-0.6676851	-0.4229569
oxygen + silicate	Indo-Pacific	(26.5,26.75]	-0.4973947	-0.6428274	-0.2804766
oxygen + silicate	Indo-Pacific	(26.75,27]	-0.6375856	-0.6768693	-0.5704625
oxygen + silicate	Indo-Pacific	(27,27.25]	-0.8175221	-0.8581719	-0.7699141
oxygen + silicate	Indo-Pacific	(27.25,27.5]	-0.8589905	-0.9043372	-0.8040922
oxygen + silicate	Indo-Pacific	(27.5,27.75]	-0.8788714	-0.9167437	-0.8090341
oxygen + silicate	Indo-Pacific	(27.75,27.85]	-0.9496669	-0.9721806	-0.9174215
oxygen + silicate	Indo-Pacific	(27.85,27.95]	-0.9450252	-0.9629198	-0.9227704
oxygen + silicate	Indo-Pacific	(27.95,28.05]	-0.9200425	-0.9298993	-0.9048741
oxygen + silicate	Indo-Pacific	(28.05,28.1]	-0.9211391	-0.9240902	-0.9182833
oxygen + silicate	Indo-Pacific	(28.1, Inf]	-0.5386936	-0.6180874	-0.3851015
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.8169853	0.7028988	0.8784980
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8961969	0.8434988	0.9589086
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8048342	0.7151354	0.8641636
phosphate + phosphate_star	Atlantic	(26.75,27]	0.6377882	0.4703877	0.7477076
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7307104	0.5727959	0.8219308
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8261256	0.7871601	0.8494866
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9135330	0.9076506	0.9205365
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9198931	0.9020369	0.9306219
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8860697	0.8779941	0.8969522
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9429353	0.9140276	0.9731065
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9712398	0.9575510	0.9873045
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9810832	0.9795266	0.9833385
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9943474	0.9906079	0.9970583
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9123244	0.8294818	0.9666212
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8626346	0.8234682	0.8966432
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.7939811	0.7562202	0.8338170
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6740277	0.4991496	0.7969298
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.6439913	0.5905200	0.7268341
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3421894	0.2276485	0.4155000
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1622094	-0.2002070	-0.1175686
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0588897	-0.3430887	0.3492793
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3491664	-0.4855459	-0.2436382
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0503607	0.0243327	0.1001679
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4044894	0.2800691	0.5023663
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5881779	0.5261055	0.6916787
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0205283	-0.1178242	0.1423180
sal + aou	Atlantic	(-Inf,26]	-0.1387372	-0.4352518	0.3500435
sal + aou	Atlantic	(26,26.5]	-0.2944057	-0.6746198	0.0106171
sal + aou	Atlantic	(26.5,26.75]	-0.2595161	-0.4740326	-0.0084286
sal + aou	Atlantic	(26.75,27]	-0.1309465	-0.2081959	0.0125727
sal + aou	Atlantic	(27,27.25]	-0.2705194	-0.4830665	-0.0358996
sal + aou	Atlantic	(27.25,27.5]	-0.2202899	-0.3434923	-0.1210769
sal + aou	Atlantic	(27.5,27.75]	-0.4628952	-0.5242823	-0.3870458
sal + aou	Atlantic	(27.75,27.85]	-0.4547492	-0.5077743	-0.3998055
sal + aou	Atlantic	(27.85,27.95]	-0.3475283	-0.3764282	-0.2917037
sal + aou	Atlantic	(27.95,28.05]	-0.5504926	-0.7189129	-0.3281245
sal + aou	Atlantic	(28.05,28.1]	-0.7545428	-0.8423117	-0.6759589
sal + aou	Atlantic	(28.1,28.15]	-0.8397217	-0.8513751	-0.8289295
sal + aou	Atlantic	(28.15,28.2]	-0.9537704	-0.9823050	-0.9188017
sal + aou	Atlantic	(28.2, Inf]	-0.5994632	-0.8684545	-0.2268212
sal + aou	Indo-Pacific	(-Inf,26]	-0.0998065	-0.1376477	-0.0452091
sal + aou	Indo-Pacific	(26,26.5]	-0.0374451	-0.2454403	0.1427841
sal + aou	Indo-Pacific	(26.5,26.75]	-0.0403896	-0.3519785	0.2625971
sal + aou	Indo-Pacific	(26.75,27]	-0.1432623	-0.3339392	0.0407040
sal + aou	Indo-Pacific	(27,27.25]	-0.0392513	-0.1798021	0.2289563
sal + aou	Indo-Pacific	(27.25,27.5]	0.1571884	0.0687569	0.3279394
sal + aou	Indo-Pacific	(27.5,27.75]	0.3153313	0.1472908	0.4888984
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1333815	-0.4074011	0.1797061
sal + aou	Indo-Pacific	(27.85,27.95]	-0.3024019	-0.6483702	-0.0041290
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3031832	-0.4053862	-0.1667368
sal + aou	Indo-Pacific	(28.05,28.1]	-0.3657671	-0.4717638	-0.2642723
sal + aou	Indo-Pacific	(28.1, Inf]	0.4396415	0.3266540	0.5031114
sal + oxygen	Atlantic	(-Inf,26]	-0.2125103	-0.6027822	-0.0075604
sal + oxygen	Atlantic	(26,26.5]	-0.1339473	-0.4118909	0.1955319
sal + oxygen	Atlantic	(26.5,26.75]	0.0295780	-0.1718348	0.2656171
sal + oxygen	Atlantic	(26.75,27]	-0.0535039	-0.1383497	0.0007935
sal + oxygen	Atlantic	(27,27.25]	0.0665987	-0.1351012	0.2963162
sal + oxygen	Atlantic	(27.25,27.5]	-0.0953919	-0.1711066	0.0559779
sal + oxygen	Atlantic	(27.5,27.75]	0.1323941	-0.0264873	0.3026997
sal + oxygen	Atlantic	(27.75,27.85]	0.2380239	0.1746959	0.3389674
sal + oxygen	Atlantic	(27.85,27.95]	0.2145092	0.1418097	0.2715353
sal + oxygen	Atlantic	(27.95,28.05]	0.4437635	0.2158353	0.6456523
sal + oxygen	Atlantic	(28.05,28.1]	0.6586276	0.5322483	0.7899995
sal + oxygen	Atlantic	(28.1,28.15]	0.7737217	0.7554210	0.7859614
sal + oxygen	Atlantic	(28.15,28.2]	0.9351353	0.8908581	0.9735412
sal + oxygen	Atlantic	(28.2, Inf]	0.4773274	0.0272673	0.8022953
sal + oxygen	Indo-Pacific	(-Inf,26]	-0.2066649	-0.3074739	-0.1098589
sal + oxygen	Indo-Pacific	(26,26.5]	-0.1372468	-0.2943005	0.0371980
sal + oxygen	Indo-Pacific	(26.5,26.75]	-0.1184266	-0.4150355	0.1773271
sal + oxygen	Indo-Pacific	(26.75,27]	-0.0272165	-0.2038853	0.1624747
sal + oxygen	Indo-Pacific	(27,27.25]	-0.0843023	-0.3759859	0.0686301
sal + oxygen	Indo-Pacific	(27.25,27.5]	-0.2593215	-0.4669477	-0.1519785
sal + oxygen	Indo-Pacific	(27.5,27.75]	-0.4165259	-0.5730475	-0.2352335
sal + oxygen	Indo-Pacific	(27.75,27.85]	0.0658433	-0.2897378	0.3802234
sal + oxygen	Indo-Pacific	(27.85,27.95]	0.2418730	-0.0901370	0.6294063
sal + oxygen	Indo-Pacific	(27.95,28.05]	0.2227470	0.0673471	0.3406845
sal + oxygen	Indo-Pacific	(28.05,28.1]	0.2798239	0.1642871	0.4001890
sal + oxygen	Indo-Pacific	(28.1, Inf]	-0.5277378	-0.6024504	-0.4154610
sal + phosphate	Atlantic	(-Inf,26]	-0.6570078	-0.7613570	-0.5517394
sal + phosphate	Atlantic	(26,26.5]	-0.7952484	-0.8726533	-0.7409547
sal + phosphate	Atlantic	(26.5,26.75]	-0.6462626	-0.7717190	-0.4121211
sal + phosphate	Atlantic	(26.75,27]	-0.5715530	-0.7060285	-0.3653983
sal + phosphate	Atlantic	(27,27.25]	-0.7250659	-0.8299268	-0.5533928
sal + phosphate	Atlantic	(27.25,27.5]	-0.7980513	-0.8296267	-0.7355125
sal + phosphate	Atlantic	(27.5,27.75]	-0.7912708	-0.8159011	-0.7712764
sal + phosphate	Atlantic	(27.75,27.85]	-0.6824776	-0.7057319	-0.6679218
sal + phosphate	Atlantic	(27.85,27.95]	-0.5683726	-0.6109516	-0.5350598
sal + phosphate	Atlantic	(27.95,28.05]	-0.7033477	-0.7829192	-0.5471838
sal + phosphate	Atlantic	(28.05,28.1]	-0.8539915	-0.8822958	-0.8390601
sal + phosphate	Atlantic	(28.1,28.15]	-0.9027512	-0.9102336	-0.8912141
sal + phosphate	Atlantic	(28.15,28.2]	-0.9605885	-0.9785444	-0.9514364
sal + phosphate	Atlantic	(28.2, Inf]	-0.9164144	-0.9769630	-0.8254622
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2140891	-0.2530378	-0.1919738
sal + phosphate	Indo-Pacific	(26,26.5]	-0.2667137	-0.4859041	-0.0886277
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.2921000	-0.5854159	-0.0378637
sal + phosphate	Indo-Pacific	(26.75,27]	-0.3971912	-0.5868734	-0.2200382
sal + phosphate	Indo-Pacific	(27,27.25]	-0.2094089	-0.3401173	0.0081900
sal + phosphate	Indo-Pacific	(27.25,27.5]	0.0667222	-0.0115958	0.1372233
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3553399	0.1734152	0.6724322
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1633590	-0.3809459	0.1111361
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3657133	-0.6599179	-0.0877588
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.4653641	-0.5559025	-0.3392945
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.5587859	-0.6413333	-0.4990502
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.0976024	-0.1797645	-0.0236873
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8293386	-0.8964955	-0.7116879
sal + phosphate_star	Atlantic	(26,26.5]	-0.9568506	-0.9664504	-0.9448129
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9393059	-0.9791413	-0.8633480
sal + phosphate_star	Atlantic	(26.75,27]	-0.9720448	-0.9858018	-0.9532816
sal + phosphate_star	Atlantic	(27,27.25]	-0.9826462	-0.9858889	-0.9777129
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9728504	-0.9797148	-0.9606912
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9308725	-0.9392137	-0.9223601
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8737702	-0.8862078	-0.8492566
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8324656	-0.8485507	-0.8173054
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8498609	-0.9034243	-0.7890376
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9204923	-0.9305514	-0.9111087
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9468357	-0.9554499	-0.9340845
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9648183	-0.9749401	-0.9484309
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9792885	-0.9913247	-0.9641919
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.5024127	-0.5047468	-0.4991628
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7146824	-0.8278102	-0.6121869
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8369663	-0.9097285	-0.7828799
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8877877	-0.9292208	-0.8430572
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8270258	-0.8507374	-0.7846850
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5826161	-0.8380468	-0.3198186
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1098399	-0.7505005	0.5458761
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2712214	-0.6045344	0.2058051
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4360986	-0.6064121	-0.1447535
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7652637	-0.8044477	-0.7191675
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8321507	-0.8813124	-0.7617659
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8242591	-0.8368384	-0.8168904
sal + silicate	Atlantic	(-Inf,26]	-0.7280856	-0.7585795	-0.6732885
sal + silicate	Atlantic	(26,26.5]	-0.7552113	-0.8866708	-0.6866727
sal + silicate	Atlantic	(26.5,26.75]	-0.5600272	-0.7017144	-0.3326459
sal + silicate	Atlantic	(26.75,27]	-0.4543991	-0.5602566	-0.2611614
sal + silicate	Atlantic	(27,27.25]	-0.6969290	-0.7726427	-0.5827429
sal + silicate	Atlantic	(27.25,27.5]	-0.7972648	-0.8216489	-0.7726388
sal + silicate	Atlantic	(27.5,27.75]	-0.7615348	-0.7787178	-0.7430958
sal + silicate	Atlantic	(27.75,27.85]	-0.6920872	-0.6985929	-0.6825942
sal + silicate	Atlantic	(27.85,27.95]	-0.6419858	-0.6707669	-0.6270226
sal + silicate	Atlantic	(27.95,28.05]	-0.7425293	-0.8367980	-0.5891648
sal + silicate	Atlantic	(28.05,28.1]	-0.8672661	-0.9071439	-0.8329962
sal + silicate	Atlantic	(28.1,28.15]	-0.9123314	-0.9212627	-0.9007057
sal + silicate	Atlantic	(28.15,28.2]	-0.9550125	-0.9817549	-0.9281957
sal + silicate	Atlantic	(28.2, Inf]	-0.8858352	-0.9849066	-0.7573875
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5117662	-0.5721616	-0.4111244
sal + silicate	Indo-Pacific	(26,26.5]	-0.5352783	-0.6569768	-0.4129810
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6505841	-0.7923306	-0.5235228
sal + silicate	Indo-Pacific	(26.75,27]	-0.6451295	-0.7505208	-0.4593808
sal + silicate	Indo-Pacific	(27,27.25]	-0.4101005	-0.5402058	-0.1966681
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1186241	-0.1951322	-0.0025800
sal + silicate	Indo-Pacific	(27.5,27.75]	0.1496738	0.0279839	0.3796061
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.1873971	-0.3602995	0.0280045
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3404344	-0.5940205	-0.1136075
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.3820018	-0.4488146	-0.2868176
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.4714573	-0.5339593	-0.4011667
sal + silicate	Indo-Pacific	(28.1, Inf]	-0.0063435	-0.1394927	0.1539092
sal + tem	Atlantic	(-Inf,26]	0.9312229	0.8591490	0.9844820
sal + tem	Atlantic	(26,26.5]	0.9635262	0.9590162	0.9708605
sal + tem	Atlantic	(26.5,26.75]	0.9763241	0.9506495	0.9899024
sal + tem	Atlantic	(26.75,27]	0.9738229	0.9606308	0.9833272
sal + tem	Atlantic	(27,27.25]	0.9777256	0.9722652	0.9820777
sal + tem	Atlantic	(27.25,27.5]	0.9732232	0.9668175	0.9765393
sal + tem	Atlantic	(27.5,27.75]	0.9683861	0.9615924	0.9723887
sal + tem	Atlantic	(27.75,27.85]	0.9791024	0.9754176	0.9814924
sal + tem	Atlantic	(27.85,27.95]	0.9372366	0.9217219	0.9484753
sal + tem	Atlantic	(27.95,28.05]	0.8836818	0.8625851	0.9231802
sal + tem	Atlantic	(28.05,28.1]	0.9612889	0.9531302	0.9671551
sal + tem	Atlantic	(28.1,28.15]	0.9532776	0.9353087	0.9657348
sal + tem	Atlantic	(28.15,28.2]	0.8941602	0.8857384	0.9022843
sal + tem	Atlantic	(28.2, Inf]	0.2727478	0.0382896	0.6019678
sal + tem	Indo-Pacific	(-Inf,26]	0.7622448	0.7321860	0.8143201
sal + tem	Indo-Pacific	(26,26.5]	0.9266617	0.8850868	0.9498731
sal + tem	Indo-Pacific	(26.5,26.75]	0.9778104	0.9691766	0.9825174
sal + tem	Indo-Pacific	(26.75,27]	0.9764911	0.9722667	0.9791828
sal + tem	Indo-Pacific	(27,27.25]	0.9480433	0.9326253	0.9667965
sal + tem	Indo-Pacific	(27.25,27.5]	0.8786772	0.8288827	0.9532627
sal + tem	Indo-Pacific	(27.5,27.75]	0.8619859	0.7971344	0.9086352
sal + tem	Indo-Pacific	(27.75,27.85]	0.8095714	0.6544091	0.9311680
sal + tem	Indo-Pacific	(27.85,27.95]	0.7156032	0.4919380	0.8677990
sal + tem	Indo-Pacific	(27.95,28.05]	0.7367933	0.6544831	0.8157351
sal + tem	Indo-Pacific	(28.05,28.1]	0.7150560	0.6354842	0.7551418
sal + tem	Indo-Pacific	(28.1, Inf]	0.7160284	0.6244071	0.7966486
silicate + phosphate	Atlantic	(-Inf,26]	0.6918377	0.6400883	0.7452019
silicate + phosphate	Atlantic	(26,26.5]	0.9113971	0.8895051	0.9268357
silicate + phosphate	Atlantic	(26.5,26.75]	0.9663726	0.9618851	0.9695066
silicate + phosphate	Atlantic	(26.75,27]	0.9453167	0.9290906	0.9575824
silicate + phosphate	Atlantic	(27,27.25]	0.9537264	0.9401480	0.9656975
silicate + phosphate	Atlantic	(27.25,27.5]	0.9014381	0.8559101	0.9315551
silicate + phosphate	Atlantic	(27.5,27.75]	0.9033814	0.8908410	0.9102557
silicate + phosphate	Atlantic	(27.75,27.85]	0.9507046	0.9410032	0.9608135
silicate + phosphate	Atlantic	(27.85,27.95]	0.9695049	0.9656859	0.9763438
silicate + phosphate	Atlantic	(27.95,28.05]	0.9786906	0.9742704	0.9838589
silicate + phosphate	Atlantic	(28.05,28.1]	0.9880738	0.9873026	0.9895227
silicate + phosphate	Atlantic	(28.1,28.15]	0.9935816	0.9932570	0.9939299
silicate + phosphate	Atlantic	(28.15,28.2]	0.9940967	0.9909439	0.9975331
silicate + phosphate	Atlantic	(28.2, Inf]	0.9771331	0.9522516	0.9963357
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7928966	0.7495898	0.8167928
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7538788	0.6610246	0.8249498
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7429847	0.5953044	0.8256303
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8456155	0.8043534	0.8686939
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9030331	0.8882626	0.9281766
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8846996	0.8633152	0.9206935
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8658820	0.8517731	0.8871773
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9493875	0.9290366	0.9609671
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9630557	0.9492788	0.9702390
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9581465	0.9481899	0.9633724
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9545436	0.9457907	0.9612718
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7808447	0.7313327	0.8252533
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6631460	0.6191669	0.7169609
silicate + phosphate_star	Atlantic	(26,26.5]	0.8290539	0.7732049	0.9338664
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7345202	0.6667326	0.8007092
silicate + phosphate_star	Atlantic	(26.75,27]	0.5344703	0.3856396	0.6138792
silicate + phosphate_star	Atlantic	(27,27.25]	0.7114639	0.6184994	0.7710647
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8565155	0.8366132	0.8699858
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9124443	0.9018703	0.9279885
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9240534	0.9089887	0.9382541
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9086617	0.9031405	0.9169471
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9332474	0.9011341	0.9659263
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9539519	0.9320947	0.9779494
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9749296	0.9675830	0.9846219
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9850735	0.9734670	0.9945214
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8724920	0.7315322	0.9725998
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7682080	0.7268218	0.8324700
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7673308	0.7449613	0.7842963
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7845209	0.7250399	0.8344034
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7289863	0.6871021	0.7590251
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.3775714	0.2953182	0.4439564
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2221861	-0.2489627	-0.1753808
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2458052	-0.3898529	-0.0015697
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4463844	-0.6101722	-0.3326620
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0025785	-0.0172836	0.0264031
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3396272	0.2381273	0.4081203
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.4830861	0.4458256	0.5510221
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0166541	-0.1546647	0.1840703
tem + aou	Atlantic	(-Inf,26]	-0.1624498	-0.4699105	0.3250702
tem + aou	Atlantic	(26,26.5]	-0.3311268	-0.7155722	-0.0467469
tem + aou	Atlantic	(26.5,26.75]	-0.3107293	-0.4894569	-0.1341365
tem + aou	Atlantic	(26.75,27]	-0.1337178	-0.2042571	-0.0093557
tem + aou	Atlantic	(27,27.25]	-0.2115072	-0.4106699	0.0067270
tem + aou	Atlantic	(27.25,27.5]	-0.1854580	-0.3148319	-0.0882740
tem + aou	Atlantic	(27.5,27.75]	-0.4389301	-0.5068225	-0.3553203
tem + aou	Atlantic	(27.75,27.85]	-0.4434601	-0.4777196	-0.4008011
tem + aou	Atlantic	(27.85,27.95]	-0.2917025	-0.3711649	-0.1892903
tem + aou	Atlantic	(27.95,28.05]	-0.5160802	-0.6072569	-0.4118457
tem + aou	Atlantic	(28.05,28.1]	-0.6370559	-0.7631388	-0.5433234
tem + aou	Atlantic	(28.1,28.15]	-0.6801343	-0.7044674	-0.6347554
tem + aou	Atlantic	(28.15,28.2]	-0.7679993	-0.8195972	-0.7069110
tem + aou	Atlantic	(28.2, Inf]	0.3953326	0.3276191	0.4647025
tem + aou	Indo-Pacific	(-Inf,26]	-0.2765020	-0.4123548	-0.2027597
tem + aou	Indo-Pacific	(26,26.5]	-0.1169827	-0.3024046	-0.0114244
tem + aou	Indo-Pacific	(26.5,26.75]	-0.0311420	-0.3228928	0.2526348
tem + aou	Indo-Pacific	(26.75,27]	-0.1588546	-0.3297678	-0.0116407
tem + aou	Indo-Pacific	(27,27.25]	-0.1180092	-0.2762285	0.1401590
tem + aou	Indo-Pacific	(27.25,27.5]	0.1259680	0.0059086	0.3048698
tem + aou	Indo-Pacific	(27.5,27.75]	0.3502373	0.1951595	0.5072673
tem + aou	Indo-Pacific	(27.75,27.85]	0.0301987	-0.2010291	0.2873408
tem + aou	Indo-Pacific	(27.85,27.95]	0.0089834	-0.2129490	0.1903371
tem + aou	Indo-Pacific	(27.95,28.05]	0.1525056	0.1268865	0.1665650
tem + aou	Indo-Pacific	(28.05,28.1]	0.2460187	0.1501208	0.3306282
tem + aou	Indo-Pacific	(28.1, Inf]	0.8500778	0.8051669	0.8753908
tem + oxygen	Atlantic	(-Inf,26]	-0.2099780	-0.5936994	0.0058762
tem + oxygen	Atlantic	(26,26.5]	-0.1107142	-0.3685972	0.2239072
tem + oxygen	Atlantic	(26.5,26.75]	0.0766338	-0.0549283	0.2796851
tem + oxygen	Atlantic	(26.75,27]	-0.0553794	-0.1216066	-0.0136587
tem + oxygen	Atlantic	(27,27.25]	0.0008958	-0.1818467	0.2142155
tem + oxygen	Atlantic	(27.25,27.5]	-0.1396433	-0.2230292	0.0181253
tem + oxygen	Atlantic	(27.5,27.75]	0.0929119	-0.0746190	0.2714167
tem + oxygen	Atlantic	(27.75,27.85]	0.2189949	0.1695401	0.3002292
tem + oxygen	Atlantic	(27.85,27.95]	0.1464890	0.0267745	0.2140311
tem + oxygen	Atlantic	(27.95,28.05]	0.3835144	0.2796369	0.5013315
tem + oxygen	Atlantic	(28.05,28.1]	0.5207084	0.3769699	0.6948860
tem + oxygen	Atlantic	(28.1,28.15]	0.5933820	0.5527607	0.6181851
tem + oxygen	Atlantic	(28.15,28.2]	0.7280533	0.6568555	0.7926718
tem + oxygen	Atlantic	(28.2, Inf]	-0.5440413	-0.6459579	-0.4542743
tem + oxygen	Indo-Pacific	(-Inf,26]	-0.1038245	-0.2545687	-0.0070798
tem + oxygen	Indo-Pacific	(26,26.5]	-0.0705218	-0.1612640	0.0849072
tem + oxygen	Indo-Pacific	(26.5,26.75]	-0.1323264	-0.4114707	0.1434545
tem + oxygen	Indo-Pacific	(26.75,27]	-0.0162112	-0.1563091	0.1542202
tem + oxygen	Indo-Pacific	(27,27.25]	-0.0117814	-0.2960367	0.1602459
tem + oxygen	Indo-Pacific	(27.25,27.5]	-0.2416488	-0.4541845	-0.1030775
tem + oxygen	Indo-Pacific	(27.5,27.75]	-0.4674139	-0.6052279	-0.3040122
tem + oxygen	Indo-Pacific	(27.75,27.85]	-0.1089671	-0.4019084	0.1562325
tem + oxygen	Indo-Pacific	(27.85,27.95]	-0.0879039	-0.2940632	0.1638898
tem + oxygen	Indo-Pacific	(27.95,28.05]	-0.2499622	-0.2764310	-0.2215051
tem + oxygen	Indo-Pacific	(28.05,28.1]	-0.3337363	-0.4267220	-0.2414689
tem + oxygen	Indo-Pacific	(28.1, Inf]	-0.9078995	-0.9232234	-0.8809520
tem + phosphate	Atlantic	(-Inf,26]	-0.5815440	-0.6413374	-0.4905972
tem + phosphate	Atlantic	(26,26.5]	-0.7936230	-0.8634886	-0.7531989
tem + phosphate	Atlantic	(26.5,26.75]	-0.6927266	-0.7811880	-0.5331652
tem + phosphate	Atlantic	(26.75,27]	-0.5745505	-0.7015809	-0.3872423
tem + phosphate	Atlantic	(27,27.25]	-0.6834146	-0.7813908	-0.5185317
tem + phosphate	Atlantic	(27.25,27.5]	-0.7798617	-0.8130726	-0.7202971
tem + phosphate	Atlantic	(27.5,27.75]	-0.7733125	-0.8024027	-0.7482102
tem + phosphate	Atlantic	(27.75,27.85]	-0.6822229	-0.7135492	-0.6506868
tem + phosphate	Atlantic	(27.85,27.95]	-0.5147555	-0.6055896	-0.4463972
tem + phosphate	Atlantic	(27.95,28.05]	-0.6492171	-0.7105991	-0.5715144
tem + phosphate	Atlantic	(28.05,28.1]	-0.7538453	-0.8022796	-0.7199937
tem + phosphate	Atlantic	(28.1,28.15]	-0.7643532	-0.7988166	-0.7089726
tem + phosphate	Atlantic	(28.15,28.2]	-0.7700909	-0.8010031	-0.7518663
tem + phosphate	Atlantic	(28.2, Inf]	0.0221572	-0.1214116	0.1317525
tem + phosphate	Indo-Pacific	(-Inf,26]	-0.4414159	-0.5911273	-0.2985427
tem + phosphate	Indo-Pacific	(26,26.5]	-0.3637090	-0.5526212	-0.2653459
tem + phosphate	Indo-Pacific	(26.5,26.75]	-0.2955112	-0.5690505	-0.0631812
tem + phosphate	Indo-Pacific	(26.75,27]	-0.4278935	-0.5948751	-0.2878471
tem + phosphate	Indo-Pacific	(27,27.25]	-0.3077085	-0.4104837	-0.1044570
tem + phosphate	Indo-Pacific	(27.25,27.5]	0.0053930	-0.1057113	0.0909536
tem + phosphate	Indo-Pacific	(27.5,27.75]	0.3813762	0.2032355	0.6749976
tem + phosphate	Indo-Pacific	(27.75,27.85]	-0.0026459	-0.1687655	0.2047482
tem + phosphate	Indo-Pacific	(27.85,27.95]	-0.0615470	-0.2268579	0.0887766
tem + phosphate	Indo-Pacific	(27.95,28.05]	-0.0254643	-0.0429826	-0.0031797
tem + phosphate	Indo-Pacific	(28.05,28.1]	0.0332898	-0.0552395	0.0926154
tem + phosphate	Indo-Pacific	(28.1, Inf]	0.3983748	0.2545421	0.4851177
tem + phosphate_star	Atlantic	(-Inf,26]	-0.7488392	-0.8238385	-0.6468132
tem + phosphate_star	Atlantic	(26,26.5]	-0.9429413	-0.9653905	-0.9242963
tem + phosphate_star	Atlantic	(26.5,26.75]	-0.9623919	-0.9833261	-0.9257287
tem + phosphate_star	Atlantic	(26.75,27]	-0.9780229	-0.9869109	-0.9670697
tem + phosphate_star	Atlantic	(27,27.25]	-0.9843456	-0.9858710	-0.9832754
tem + phosphate_star	Atlantic	(27.25,27.5]	-0.9806155	-0.9845017	-0.9738466
tem + phosphate_star	Atlantic	(27.5,27.75]	-0.9288193	-0.9420052	-0.9104082
tem + phosphate_star	Atlantic	(27.75,27.85]	-0.8871893	-0.9053827	-0.8530888
tem + phosphate_star	Atlantic	(27.85,27.95]	-0.8062231	-0.8546980	-0.7719839
tem + phosphate_star	Atlantic	(27.95,28.05]	-0.8020024	-0.8667423	-0.7692665
tem + phosphate_star	Atlantic	(28.05,28.1]	-0.8530531	-0.8761309	-0.8301577
tem + phosphate_star	Atlantic	(28.1,28.15]	-0.8432954	-0.8776126	-0.7909038
tem + phosphate_star	Atlantic	(28.15,28.2]	-0.7884720	-0.8009757	-0.7654332
tem + phosphate_star	Atlantic	(28.2, Inf]	-0.2903661	-0.5739109	-0.0718525
tem + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7559080	-0.8456010	-0.6290706
tem + phosphate_star	Indo-Pacific	(26,26.5]	-0.8175646	-0.8945085	-0.7598741
tem + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8637610	-0.9218768	-0.8053617
tem + phosphate_star	Indo-Pacific	(26.75,27]	-0.9332104	-0.9568394	-0.9060655
tem + phosphate_star	Indo-Pacific	(27,27.25]	-0.9110216	-0.9278133	-0.8783444
tem + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7057151	-0.9001897	-0.4943386
tem + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2042084	-0.8201021	0.4309248
tem + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4075034	-0.6999555	0.0198276
tem + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5748791	-0.7043122	-0.3659200
tem + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7548649	-0.8271050	-0.6952757
tem + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6292655	-0.6610141	-0.5662088
tem + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8853183	-0.9020680	-0.8724200
tem + silicate	Atlantic	(-Inf,26]	-0.6378935	-0.6892882	-0.5464948
tem + silicate	Atlantic	(26,26.5]	-0.7346011	-0.8457401	-0.6635388
tem + silicate	Atlantic	(26.5,26.75]	-0.6136695	-0.7159446	-0.4670495
tem + silicate	Atlantic	(26.75,27]	-0.4786978	-0.5742082	-0.3085724
tem + silicate	Atlantic	(27,27.25]	-0.6790426	-0.7431286	-0.5824616
tem + silicate	Atlantic	(27.25,27.5]	-0.8429269	-0.8514773	-0.8349626
tem + silicate	Atlantic	(27.5,27.75]	-0.7998021	-0.8084187	-0.7837147
tem + silicate	Atlantic	(27.75,27.85]	-0.7218068	-0.7377528	-0.7129666
tem + silicate	Atlantic	(27.85,27.95]	-0.6162350	-0.6842031	-0.5666891
tem + silicate	Atlantic	(27.95,28.05]	-0.7294325	-0.7751130	-0.6559829
tem + silicate	Atlantic	(28.05,28.1]	-0.7772377	-0.8460199	-0.7337805
tem + silicate	Atlantic	(28.1,28.15]	-0.7799238	-0.7933805	-0.7544460
tem + silicate	Atlantic	(28.15,28.2]	-0.7630661	-0.8090076	-0.7125194
tem + silicate	Atlantic	(28.2, Inf]	0.0437680	-0.0594088	0.1029516
tem + silicate	Indo-Pacific	(-Inf,26]	-0.5842398	-0.7257970	-0.4191867
tem + silicate	Indo-Pacific	(26,26.5]	-0.5908918	-0.6937474	-0.4398689
tem + silicate	Indo-Pacific	(26.5,26.75]	-0.6506173	-0.7862144	-0.5280643
tem + silicate	Indo-Pacific	(26.75,27]	-0.6559826	-0.7436209	-0.5114372
tem + silicate	Indo-Pacific	(27,27.25]	-0.4803310	-0.6173177	-0.2908227
tem + silicate	Indo-Pacific	(27.25,27.5]	-0.1995615	-0.2653292	-0.0687463
tem + silicate	Indo-Pacific	(27.5,27.75]	0.0847762	-0.0270494	0.3046667
tem + silicate	Indo-Pacific	(27.75,27.85]	-0.0955189	-0.2568067	0.0910175
tem + silicate	Indo-Pacific	(27.85,27.95]	-0.1322278	-0.3048418	0.0069328
tem + silicate	Indo-Pacific	(27.95,28.05]	-0.0491129	-0.0664545	-0.0268182
tem + silicate	Indo-Pacific	(28.05,28.1]	0.1054351	0.0130633	0.1613521
tem + silicate	Indo-Pacific	(28.1, Inf]	0.2623824	0.0435483	0.3822239

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 <- cor_cstar_predictor %>% 
  rename(predictor = term)

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

cor_cstar_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

Version	Author	Date
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

kable(cor_cstar_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3725099	0.1419795	0.5005930
aou	Atlantic	(26,26.5]	-0.1622285	-0.4350422	0.0388276
aou	Atlantic	(26.5,26.75]	-0.3491270	-0.4058029	-0.2558563
aou	Atlantic	(26.75,27]	-0.2039568	-0.3485031	-0.1074257
aou	Atlantic	(27,27.25]	-0.4288387	-0.5466637	-0.2565565
aou	Atlantic	(27.25,27.5]	-0.4418458	-0.5007875	-0.3929098
aou	Atlantic	(27.5,27.75]	-0.7950628	-0.8693490	-0.7544983
aou	Atlantic	(27.75,27.85]	-0.9073979	-0.9382633	-0.8891691
aou	Atlantic	(27.85,27.95]	-0.9236348	-0.9441994	-0.9112932
aou	Atlantic	(27.95,28.05]	-0.8809854	-0.8931092	-0.8641053
aou	Atlantic	(28.05,28.1]	-0.8452618	-0.8628398	-0.8315973
aou	Atlantic	(28.1,28.15]	-0.8868319	-0.9008555	-0.8682414
aou	Atlantic	(28.15,28.2]	-0.9425897	-0.9590874	-0.9136319
aou	Atlantic	(28.2, Inf]	-0.1157718	-0.3336521	-0.0014082
aou	Indo-Pacific	(-Inf,26]	-0.1641839	-0.3421643	-0.0197860
aou	Indo-Pacific	(26,26.5]	-0.7202482	-0.7412322	-0.7067197
aou	Indo-Pacific	(26.5,26.75]	-0.7348031	-0.7544526	-0.7170068
aou	Indo-Pacific	(26.75,27]	-0.7110248	-0.8130813	-0.6101898
aou	Indo-Pacific	(27,27.25]	0.0009239	-0.0598007	0.0553647
aou	Indo-Pacific	(27.25,27.5]	0.5556345	0.4981244	0.6229811
aou	Indo-Pacific	(27.5,27.75]	0.6954091	0.5900238	0.7643630
aou	Indo-Pacific	(27.75,27.85]	0.7520762	0.6270462	0.8278159
aou	Indo-Pacific	(27.85,27.95]	0.6972937	0.5593451	0.7929272
aou	Indo-Pacific	(27.95,28.05]	0.4702944	0.3057860	0.6355035
aou	Indo-Pacific	(28.05,28.1]	0.2326498	0.1658351	0.3627513
aou	Indo-Pacific	(28.1, Inf]	0.3477497	0.2045989	0.6250919
oxygen	Atlantic	(-Inf,26]	-0.4059340	-0.4889880	-0.2447602
oxygen	Atlantic	(26,26.5]	-0.1402959	-0.3699388	0.1892587
oxygen	Atlantic	(26.5,26.75]	0.1535195	0.1068396	0.2062784
oxygen	Atlantic	(26.75,27]	0.0378910	-0.0175237	0.1353892
oxygen	Atlantic	(27,27.25]	0.2403507	0.0922564	0.3780000
oxygen	Atlantic	(27.25,27.5]	0.1388650	0.0692733	0.2324708
oxygen	Atlantic	(27.5,27.75]	0.5478015	0.4215220	0.7358192
oxygen	Atlantic	(27.75,27.85]	0.8092758	0.7623936	0.8848857
oxygen	Atlantic	(27.85,27.95]	0.8925226	0.8709998	0.9306106
oxygen	Atlantic	(27.95,28.05]	0.8633889	0.8222511	0.8972167
oxygen	Atlantic	(28.05,28.1]	0.8285907	0.7852364	0.8764014
oxygen	Atlantic	(28.1,28.15]	0.8802436	0.8545322	0.9099597
oxygen	Atlantic	(28.15,28.2]	0.9463956	0.9242478	0.9625141
oxygen	Atlantic	(28.2, Inf]	-0.0692300	-0.1662647	0.1067193
oxygen	Indo-Pacific	(-Inf,26]	0.2612447	0.1376644	0.3881240
oxygen	Indo-Pacific	(26,26.5]	0.6332788	0.5973622	0.6606450
oxygen	Indo-Pacific	(26.5,26.75]	0.6462703	0.6255110	0.6620804
oxygen	Indo-Pacific	(26.75,27]	0.6330662	0.5328506	0.7511561
oxygen	Indo-Pacific	(27,27.25]	0.0159480	-0.0571816	0.1038496
oxygen	Indo-Pacific	(27.25,27.5]	-0.5073703	-0.5877373	-0.4420301
oxygen	Indo-Pacific	(27.5,27.75]	-0.6428825	-0.7304815	-0.5061142
oxygen	Indo-Pacific	(27.75,27.85]	-0.7190901	-0.8120756	-0.5654880
oxygen	Indo-Pacific	(27.85,27.95]	-0.6739230	-0.7805569	-0.5184322
oxygen	Indo-Pacific	(27.95,28.05]	-0.4637712	-0.6285494	-0.2943777
oxygen	Indo-Pacific	(28.05,28.1]	-0.2436279	-0.3701057	-0.1739637
oxygen	Indo-Pacific	(28.1, Inf]	-0.3738727	-0.6492304	-0.2310844
phosphate	Atlantic	(-Inf,26]	-0.2567268	-0.5377769	0.0411919
phosphate	Atlantic	(26,26.5]	-0.6660301	-0.7124332	-0.6407250
phosphate	Atlantic	(26.5,26.75]	-0.7014752	-0.7856480	-0.6414264
phosphate	Atlantic	(26.75,27]	-0.6171494	-0.7872540	-0.4710638
phosphate	Atlantic	(27,27.25]	-0.8278441	-0.8995052	-0.7228304
phosphate	Atlantic	(27.25,27.5]	-0.9264331	-0.9528637	-0.9098014
phosphate	Atlantic	(27.5,27.75]	-0.9833989	-0.9881111	-0.9771952
phosphate	Atlantic	(27.75,27.85]	-0.9698263	-0.9736834	-0.9622093
phosphate	Atlantic	(27.85,27.95]	-0.9451582	-0.9461339	-0.9436857
phosphate	Atlantic	(27.95,28.05]	-0.9133133	-0.9220632	-0.9049722
phosphate	Atlantic	(28.05,28.1]	-0.8891119	-0.9017567	-0.8784978
phosphate	Atlantic	(28.1,28.15]	-0.9155879	-0.9330448	-0.8994732
phosphate	Atlantic	(28.15,28.2]	-0.9661777	-0.9818369	-0.9437347
phosphate	Atlantic	(28.2, Inf]	-0.7913311	-0.8675486	-0.7136856
phosphate	Indo-Pacific	(-Inf,26]	-0.1926584	-0.3949239	-0.0418705
phosphate	Indo-Pacific	(26,26.5]	-0.8358228	-0.8592888	-0.8005506
phosphate	Indo-Pacific	(26.5,26.75]	-0.8705295	-0.8924495	-0.8503527
phosphate	Indo-Pacific	(26.75,27]	-0.8353217	-0.8965210	-0.7490802
phosphate	Indo-Pacific	(27,27.25]	-0.0826711	-0.1026330	-0.0540338
phosphate	Indo-Pacific	(27.25,27.5]	0.4734010	0.4072002	0.5511464
phosphate	Indo-Pacific	(27.5,27.75]	0.6071303	0.5031246	0.6848540
phosphate	Indo-Pacific	(27.75,27.85]	0.6698110	0.5281515	0.7554404
phosphate	Indo-Pacific	(27.85,27.95]	0.6032950	0.4365048	0.7269892
phosphate	Indo-Pacific	(27.95,28.05]	0.3367014	0.1310808	0.5585003
phosphate	Indo-Pacific	(28.05,28.1]	0.0662194	-0.0619132	0.2661730
phosphate	Indo-Pacific	(28.1, Inf]	-0.0103118	-0.2108207	0.3191884
phosphate_star	Atlantic	(-Inf,26]	-0.4868544	-0.6954965	-0.2230014
phosphate_star	Atlantic	(26,26.5]	-0.8113613	-0.8472205	-0.7610295
phosphate_star	Atlantic	(26.5,26.75]	-0.9054754	-0.9161741	-0.8851380
phosphate_star	Atlantic	(26.75,27]	-0.9379717	-0.9570822	-0.9281572
phosphate_star	Atlantic	(27,27.25]	-0.9547961	-0.9603146	-0.9504856
phosphate_star	Atlantic	(27.25,27.5]	-0.9582599	-0.9692840	-0.9522743
phosphate_star	Atlantic	(27.5,27.75]	-0.9369895	-0.9543958	-0.9208977
phosphate_star	Atlantic	(27.75,27.85]	-0.8947802	-0.9174228	-0.8799564
phosphate_star	Atlantic	(27.85,27.95]	-0.8026666	-0.8272619	-0.7711356
phosphate_star	Atlantic	(27.95,28.05]	-0.8430670	-0.8590234	-0.8165543
phosphate_star	Atlantic	(28.05,28.1]	-0.8632730	-0.8893769	-0.8476758
phosphate_star	Atlantic	(28.1,28.15]	-0.8957376	-0.9265281	-0.8802111
phosphate_star	Atlantic	(28.15,28.2]	-0.9661730	-0.9780256	-0.9473391
phosphate_star	Atlantic	(28.2, Inf]	-0.8379335	-0.8646165	-0.8029613
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0861411	-0.3031046	0.0350697
phosphate_star	Indo-Pacific	(26,26.5]	-0.8064128	-0.8570052	-0.7582997
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7962881	-0.8917744	-0.6801462
phosphate_star	Indo-Pacific	(26.75,27]	-0.7101752	-0.8239525	-0.6254443
phosphate_star	Indo-Pacific	(27,27.25]	-0.1818903	-0.3122902	-0.0235577
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2937673	-0.3294728	-0.2391410
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4921063	-0.6495233	-0.2745163
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5405842	-0.7473526	-0.3283510
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3398513	-0.3669720	-0.2868334
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2644446	-0.3228643	-0.1518019
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3414966	-0.4600193	-0.1621853
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5355195	-0.6570205	-0.4675131
sal	Atlantic	(-Inf,26]	0.2573863	0.1387504	0.3826956
sal	Atlantic	(26,26.5]	0.7501379	0.6499440	0.8281377
sal	Atlantic	(26.5,26.75]	0.8354914	0.7571972	0.8786502
sal	Atlantic	(26.75,27]	0.8964970	0.8547877	0.9372317
sal	Atlantic	(27,27.25]	0.9356088	0.9297448	0.9438658
sal	Atlantic	(27.25,27.5]	0.9257013	0.8967205	0.9512100
sal	Atlantic	(27.5,27.75]	0.8202908	0.7771744	0.8616007
sal	Atlantic	(27.75,27.85]	0.6690956	0.6267976	0.7170519
sal	Atlantic	(27.85,27.95]	0.4372012	0.3929975	0.4972717
sal	Atlantic	(27.95,28.05]	0.5042326	0.3452332	0.6149436
sal	Atlantic	(28.05,28.1]	0.6558182	0.6400226	0.6669346
sal	Atlantic	(28.1,28.15]	0.7465510	0.6943080	0.7959043
sal	Atlantic	(28.15,28.2]	0.8851557	0.8267338	0.9172963
sal	Atlantic	(28.2, Inf]	0.7498629	0.7019284	0.8057522
sal	Indo-Pacific	(-Inf,26]	0.0280740	-0.0221497	0.0629337
sal	Indo-Pacific	(26,26.5]	0.4398116	0.3276990	0.6435999
sal	Indo-Pacific	(26.5,26.75]	0.4802491	0.2850410	0.7282806
sal	Indo-Pacific	(26.75,27]	0.4468238	0.3445517	0.6512847
sal	Indo-Pacific	(27,27.25]	-0.2366129	-0.4734439	-0.1166733
sal	Indo-Pacific	(27.25,27.5]	-0.3418061	-0.5513351	-0.1288029
sal	Indo-Pacific	(27.5,27.75]	-0.2748495	-0.3899907	-0.2041826
sal	Indo-Pacific	(27.75,27.85]	-0.3954648	-0.5416625	-0.3202140
sal	Indo-Pacific	(27.85,27.95]	-0.3752759	-0.5594379	-0.2421918
sal	Indo-Pacific	(27.95,28.05]	-0.1030074	-0.1949963	-0.0065604
sal	Indo-Pacific	(28.05,28.1]	0.0288960	-0.1083449	0.1479977
sal	Indo-Pacific	(28.1, Inf]	0.2809774	0.2475837	0.3252811
silicate	Atlantic	(-Inf,26]	-0.2104452	-0.4650234	-0.0487330
silicate	Atlantic	(26,26.5]	-0.6365969	-0.7255201	-0.5795618
silicate	Atlantic	(26.5,26.75]	-0.6439081	-0.7132750	-0.5978599
silicate	Atlantic	(26.75,27]	-0.5255871	-0.6657828	-0.4103179
silicate	Atlantic	(27,27.25]	-0.8076609	-0.8468726	-0.7639506
silicate	Atlantic	(27.25,27.5]	-0.8909983	-0.9051797	-0.8716729
silicate	Atlantic	(27.5,27.75]	-0.8900516	-0.9016263	-0.8823510
silicate	Atlantic	(27.75,27.85]	-0.8885010	-0.9049262	-0.8745368
silicate	Atlantic	(27.85,27.95]	-0.8714840	-0.8852341	-0.8640948
silicate	Atlantic	(27.95,28.05]	-0.8513500	-0.8677676	-0.8298474
silicate	Atlantic	(28.05,28.1]	-0.8463524	-0.8534978	-0.8346805
silicate	Atlantic	(28.1,28.15]	-0.8940363	-0.9126349	-0.8825486
silicate	Atlantic	(28.15,28.2]	-0.9543027	-0.9693495	-0.9272892
silicate	Atlantic	(28.2, Inf]	-0.6598192	-0.8543629	-0.4939783
silicate	Indo-Pacific	(-Inf,26]	-0.2175391	-0.3876598	-0.0967570
silicate	Indo-Pacific	(26,26.5]	-0.7247983	-0.7448049	-0.6985189
silicate	Indo-Pacific	(26.5,26.75]	-0.7194546	-0.7700235	-0.6214816
silicate	Indo-Pacific	(26.75,27]	-0.6377033	-0.6836154	-0.6065523
silicate	Indo-Pacific	(27,27.25]	0.2246741	0.1861964	0.2785577
silicate	Indo-Pacific	(27.25,27.5]	0.7565240	0.6958416	0.7902665
silicate	Indo-Pacific	(27.5,27.75]	0.8341407	0.7693525	0.8691604
silicate	Indo-Pacific	(27.75,27.85]	0.7899593	0.6925127	0.8531974
silicate	Indo-Pacific	(27.85,27.95]	0.6884516	0.5551511	0.7867101
silicate	Indo-Pacific	(27.95,28.05]	0.4362453	0.2614027	0.6216704
silicate	Indo-Pacific	(28.05,28.1]	0.1680505	0.0857238	0.3063582
silicate	Indo-Pacific	(28.1, Inf]	0.0199449	-0.1056279	0.2352374
tem	Atlantic	(-Inf,26]	0.0751320	-0.1676564	0.2491204
tem	Atlantic	(26,26.5]	0.6830124	0.5271759	0.7784713
tem	Atlantic	(26.5,26.75]	0.8360090	0.7957515	0.8654062
tem	Atlantic	(26.75,27]	0.8789392	0.8430109	0.9208628
tem	Atlantic	(27,27.25]	0.9108561	0.9055308	0.9144226
tem	Atlantic	(27.25,27.5]	0.9122554	0.8911299	0.9355441
tem	Atlantic	(27.5,27.75]	0.7920398	0.7418048	0.8404145
tem	Atlantic	(27.75,27.85]	0.6610893	0.5996895	0.7187380
tem	Atlantic	(27.85,27.95]	0.4099689	0.3470846	0.5230886
tem	Atlantic	(27.95,28.05]	0.4857292	0.4040216	0.5854644
tem	Atlantic	(28.05,28.1]	0.5497434	0.5257329	0.5737969
tem	Atlantic	(28.1,28.15]	0.5771433	0.4510058	0.6568218
tem	Atlantic	(28.15,28.2]	0.6424808	0.5669665	0.6973982
tem	Atlantic	(28.2, Inf]	0.6101352	0.5557251	0.6461511
tem	Indo-Pacific	(-Inf,26]	-0.2649430	-0.3346961	-0.1840602
tem	Indo-Pacific	(26,26.5]	0.4576707	0.3307054	0.6331549
tem	Indo-Pacific	(26.5,26.75]	0.4723844	0.2904563	0.7090211
tem	Indo-Pacific	(26.75,27]	0.4914643	0.3815853	0.6738782
tem	Indo-Pacific	(27,27.25]	-0.1153860	-0.3313681	0.0226902
tem	Indo-Pacific	(27.25,27.5]	-0.3115355	-0.4822371	-0.1290326
tem	Indo-Pacific	(27.5,27.75]	-0.3226532	-0.4480329	-0.2394512
tem	Indo-Pacific	(27.75,27.85]	-0.3338746	-0.4827417	-0.2506013
tem	Indo-Pacific	(27.85,27.95]	-0.2637923	-0.4015638	-0.1417482
tem	Indo-Pacific	(27.95,28.05]	0.0194452	-0.0323465	0.0457511
tem	Indo-Pacific	(28.05,28.1]	0.1444316	0.1006341	0.1698771
tem	Indo-Pacific	(28.1, Inf]	0.3929625	0.2332100	0.6758115

rm(cor_cstar_predictor, cor_cstar_predictor_stats)

sessionInfo()

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

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.0  collapse_1.4.2   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1

eMLR - assumption testing

Jens Daniel Müller

01 December, 2020