Last updated: 2020-12-01

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File	Version	Author	Date	Message
Rmd	17d09be	jens-daniel-mueller	2020-12-01	auto eras naming
html	cf19652	jens-daniel-mueller	2020-11-30	Build site.
Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
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Rmd	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit
html	bc61ce3	Jens Müller	2020-11-30	Initial commit

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
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
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
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]	-0.9358466	-0.9571461	-0.9240131
aou + oxygen	Atlantic	(26,26.5]	-0.9184307	-0.9367528	-0.9063053
aou + oxygen	Atlantic	(26.5,26.75]	-0.9647433	-0.9741030	-0.9488335
aou + oxygen	Atlantic	(26.75,27]	-0.9783537	-0.9854978	-0.9700035
aou + oxygen	Atlantic	(27,27.25]	-0.9739495	-0.9803421	-0.9629462
aou + oxygen	Atlantic	(27.25,27.5]	-0.9433217	-0.9546374	-0.9235487
aou + oxygen	Atlantic	(27.5,27.75]	-0.9258710	-0.9469496	-0.9060072
aou + oxygen	Atlantic	(27.75,27.85]	-0.9690543	-0.9763052	-0.9607842
aou + oxygen	Atlantic	(27.85,27.95]	-0.9879284	-0.9912758	-0.9859386
aou + oxygen	Atlantic	(27.95,28.05]	-0.9883584	-0.9921210	-0.9829452
aou + oxygen	Atlantic	(28.05,28.1]	-0.9885452	-0.9941113	-0.9811814
aou + oxygen	Atlantic	(28.1,28.15]	-0.9932846	-0.9948225	-0.9920725
aou + oxygen	Atlantic	(28.15,28.2]	-0.9978497	-0.9983471	-0.9975651
aou + oxygen	Atlantic	(28.2, Inf]	-0.9826729	-0.9879698	-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]	0.6784178	0.5201731	0.7715939
aou + phosphate	Atlantic	(26,26.5]	0.7535561	0.5836085	0.9184981
aou + phosphate	Atlantic	(26.5,26.75]	0.8748392	0.8312183	0.9197556
aou + phosphate	Atlantic	(26.75,27]	0.8599324	0.8160792	0.8953957
aou + phosphate	Atlantic	(27,27.25]	0.8397354	0.7913029	0.8821878
aou + phosphate	Atlantic	(27.25,27.5]	0.7380953	0.6684915	0.7926507
aou + phosphate	Atlantic	(27.5,27.75]	0.8531708	0.8216081	0.8800572
aou + phosphate	Atlantic	(27.75,27.85]	0.9367674	0.9183601	0.9590800
aou + phosphate	Atlantic	(27.85,27.95]	0.9531693	0.9404831	0.9670763
aou + phosphate	Atlantic	(27.95,28.05]	0.9619269	0.9477651	0.9856874
aou + phosphate	Atlantic	(28.05,28.1]	0.9671331	0.9469881	0.9842341
aou + phosphate	Atlantic	(28.1,28.15]	0.9809769	0.9772601	0.9844723
aou + phosphate	Atlantic	(28.15,28.2]	0.9916882	0.9888950	0.9932307
aou + phosphate	Atlantic	(28.2, Inf]	0.8365424	0.6879006	0.9354880
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]	0.0901021	-0.4339236	0.3680101
aou + phosphate_star	Atlantic	(26,26.5]	0.3491255	0.0543723	0.6175760
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4491029	0.3561840	0.5982470
aou + phosphate_star	Atlantic	(26.75,27]	0.2448911	0.2198355	0.2665603
aou + phosphate_star	Atlantic	(27,27.25]	0.3058427	0.1849167	0.4574559
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2509240	0.1892424	0.3390705
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5679332	0.5147666	0.5962786
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7265871	0.6491032	0.7987476
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7167096	0.6840696	0.7746586
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8220770	0.7515084	0.9284927
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8802648	0.8152496	0.9428837
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9276388	0.9153223	0.9421530
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9730436	0.9602488	0.9803060
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5542068	0.1711696	0.7987665
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]	0.3438193	0.0864911	0.5754309
aou + silicate	Atlantic	(26,26.5]	0.6827910	0.5295973	0.8303297
aou + silicate	Atlantic	(26.5,26.75]	0.8921240	0.8571774	0.9214654
aou + silicate	Atlantic	(26.75,27]	0.8659280	0.8209950	0.9009151
aou + silicate	Atlantic	(27,27.25]	0.8121792	0.7739088	0.8729256
aou + silicate	Atlantic	(27.25,27.5]	0.5682279	0.4951061	0.6871112
aou + silicate	Atlantic	(27.5,27.75]	0.6560379	0.6481381	0.6627962
aou + silicate	Atlantic	(27.75,27.85]	0.8444422	0.8240218	0.8591080
aou + silicate	Atlantic	(27.85,27.95]	0.8978130	0.8887057	0.9136563
aou + silicate	Atlantic	(27.95,28.05]	0.9458271	0.9370913	0.9614347
aou + silicate	Atlantic	(28.05,28.1]	0.9695140	0.9567884	0.9806587
aou + silicate	Atlantic	(28.1,28.15]	0.9782356	0.9762942	0.9800912
aou + silicate	Atlantic	(28.15,28.2]	0.9906249	0.9884645	0.9917646
aou + silicate	Atlantic	(28.2, Inf]	0.8487040	0.7442040	0.9148023
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]	-0.4969968	-0.6560306	-0.3130012
oxygen + phosphate	Atlantic	(26,26.5]	-0.4670003	-0.7542929	-0.1993685
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.7212700	-0.8100534	-0.6168588
oxygen + phosphate	Atlantic	(26.75,27]	-0.7387772	-0.8087854	-0.6535353
oxygen + phosphate	Atlantic	(27,27.25]	-0.6982424	-0.7683184	-0.6010086
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.4794480	-0.5794747	-0.3391249
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.6117619	-0.6952326	-0.5259271
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.8303521	-0.8820615	-0.8041696
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.9020497	-0.9314913	-0.8796330
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.9227188	-0.9667391	-0.8852677
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.9283810	-0.9700315	-0.8768665
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.9581251	-0.9687863	-0.9480043
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9875896	-0.9919316	-0.9797658
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7484177	-0.8815214	-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]	0.1470106	-0.1661504	0.6398343
oxygen + phosphate_star	Atlantic	(26,26.5]	0.0153939	-0.3345648	0.3627811
oxygen + phosphate_star	Atlantic	(26.5,26.75]	-0.2064371	-0.4049578	-0.0859833
oxygen + phosphate_star	Atlantic	(26.75,27]	-0.0441355	-0.1016872	0.0214023
oxygen + phosphate_star	Atlantic	(27,27.25]	-0.0885668	-0.2669300	0.0107948
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.0764428	-0.0477493	0.1960903
oxygen + phosphate_star	Atlantic	(27.5,27.75]	-0.2339961	-0.3212187	-0.1237536
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.5456068	-0.6577916	-0.4564533
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.6105209	-0.6942259	-0.5650058
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.7456702	-0.8876553	-0.6745695
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.8127678	-0.9152530	-0.6996791
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.8862577	-0.9127665	-0.8639985
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.9647115	-0.9769752	-0.9434779
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.4283201	-0.7098734	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]	-0.1227944	-0.3797872	0.1532636
oxygen + silicate	Atlantic	(26,26.5]	-0.4131177	-0.6413382	-0.1843260
oxygen + silicate	Atlantic	(26.5,26.75]	-0.7636381	-0.8285857	-0.6756479
oxygen + silicate	Atlantic	(26.75,27]	-0.7668921	-0.8297448	-0.6923470
oxygen + silicate	Atlantic	(27,27.25]	-0.6764259	-0.7674405	-0.5933414
oxygen + silicate	Atlantic	(27.25,27.5]	-0.2906634	-0.4605697	-0.1516917
oxygen + silicate	Atlantic	(27.5,27.75]	-0.3795441	-0.4196854	-0.3484698
oxygen + silicate	Atlantic	(27.75,27.85]	-0.7164943	-0.7532720	-0.6733727
oxygen + silicate	Atlantic	(27.85,27.95]	-0.8283254	-0.8612957	-0.8102405
oxygen + silicate	Atlantic	(27.95,28.05]	-0.8924939	-0.9243597	-0.8643618
oxygen + silicate	Atlantic	(28.05,28.1]	-0.9267387	-0.9581888	-0.8890582
oxygen + silicate	Atlantic	(28.1,28.15]	-0.9528215	-0.9544763	-0.9503664
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9864042	-0.9884199	-0.9830969
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7606950	-0.8524293	-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]	0.7508103	0.5296283	0.8695592
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8660287	0.8408395	0.8861832
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8221230	0.7650069	0.8641636
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7017678	0.6672986	0.7427355
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7691141	0.6804568	0.8219308
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8357105	0.8094227	0.8559786
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9112093	0.9040145	0.9205365
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9191774	0.8954408	0.9350710
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8919779	0.8779941	0.9084868
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9434812	0.9140276	0.9759128
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9705229	0.9569891	0.9857156
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9817457	0.9793152	0.9855372
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9940799	0.9907233	0.9961402
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9115777	0.8294818	0.9583135
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]	-0.0693667	-0.3310034	0.3340526
sal + aou	Atlantic	(26,26.5]	-0.1371376	-0.2414174	0.0492189
sal + aou	Atlantic	(26.5,26.75]	-0.3107349	-0.4740326	-0.1655041
sal + aou	Atlantic	(26.75,27]	-0.1926738	-0.2089202	-0.1718850
sal + aou	Atlantic	(27,27.25]	-0.3207614	-0.4830665	-0.1964886
sal + aou	Atlantic	(27.25,27.5]	-0.2411193	-0.3434923	-0.1855403
sal + aou	Atlantic	(27.5,27.75]	-0.4400134	-0.4806668	-0.3620159
sal + aou	Atlantic	(27.75,27.85]	-0.4561958	-0.5478822	-0.3640374
sal + aou	Atlantic	(27.85,27.95]	-0.3641828	-0.4622517	-0.2917037
sal + aou	Atlantic	(27.95,28.05]	-0.5601957	-0.7599965	-0.3281245
sal + aou	Atlantic	(28.05,28.1]	-0.7550796	-0.8565866	-0.6632945
sal + aou	Atlantic	(28.1,28.15]	-0.8498018	-0.8746150	-0.8234154
sal + aou	Atlantic	(28.15,28.2]	-0.9514252	-0.9746964	-0.9193749
sal + aou	Atlantic	(28.2, Inf]	-0.5959575	-0.8383679	-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]	-0.2510572	-0.5792924	-0.0075604
sal + oxygen	Atlantic	(26,26.5]	-0.2467027	-0.4575219	-0.0971031
sal + oxygen	Atlantic	(26.5,26.75]	0.0585391	-0.0688106	0.2656171
sal + oxygen	Atlantic	(26.75,27]	-0.0078397	-0.0687638	0.0444512
sal + oxygen	Atlantic	(27,27.25]	0.1058731	0.0032590	0.2963162
sal + oxygen	Atlantic	(27.25,27.5]	-0.0822232	-0.1866012	0.0559779
sal + oxygen	Atlantic	(27.5,27.75]	0.0854013	-0.0517550	0.1869890
sal + oxygen	Atlantic	(27.75,27.85]	0.2313932	0.1337736	0.3599978
sal + oxygen	Atlantic	(27.85,27.95]	0.2266510	0.1418097	0.3495871
sal + oxygen	Atlantic	(27.95,28.05]	0.4524930	0.2158353	0.6899272
sal + oxygen	Atlantic	(28.05,28.1]	0.6575291	0.5132902	0.8056622
sal + oxygen	Atlantic	(28.1,28.15]	0.7857270	0.7480398	0.8231797
sal + oxygen	Atlantic	(28.15,28.2]	0.9317927	0.8922582	0.9621134
sal + oxygen	Atlantic	(28.2, Inf]	0.4701056	0.0272673	0.7510085
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]	-0.5411880	-0.7613570	-0.3493169
sal + phosphate	Atlantic	(26,26.5]	-0.6852352	-0.7721372	-0.5288609
sal + phosphate	Atlantic	(26.5,26.75]	-0.7116634	-0.7717190	-0.6009001
sal + phosphate	Atlantic	(26.75,27]	-0.6512626	-0.6998538	-0.6107017
sal + phosphate	Atlantic	(27,27.25]	-0.7686277	-0.8299268	-0.6793957
sal + phosphate	Atlantic	(27.25,27.5]	-0.8114982	-0.8389645	-0.7659035
sal + phosphate	Atlantic	(27.5,27.75]	-0.7960362	-0.8159011	-0.7704988
sal + phosphate	Atlantic	(27.75,27.85]	-0.6950992	-0.7270993	-0.6524665
sal + phosphate	Atlantic	(27.85,27.95]	-0.5872002	-0.6377329	-0.5350598
sal + phosphate	Atlantic	(27.95,28.05]	-0.7151940	-0.8213304	-0.5471838
sal + phosphate	Atlantic	(28.05,28.1]	-0.8579619	-0.8995554	-0.8337115
sal + phosphate	Atlantic	(28.1,28.15]	-0.9100072	-0.9154527	-0.9043353
sal + phosphate	Atlantic	(28.15,28.2]	-0.9577882	-0.9677701	-0.9514364
sal + phosphate	Atlantic	(28.2, Inf]	-0.9136988	-0.9643185	-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]	-0.8000689	-0.9323857	-0.5713254
sal + phosphate_star	Atlantic	(26,26.5]	-0.9204889	-0.9704238	-0.8317543
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9674266	-0.9797506	-0.9471006
sal + phosphate_star	Atlantic	(26.75,27]	-0.9796851	-0.9852564	-0.9767479
sal + phosphate_star	Atlantic	(27,27.25]	-0.9841964	-0.9858889	-0.9832035
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9766968	-0.9797148	-0.9733254
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9361840	-0.9450453	-0.9242929
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8850655	-0.8915636	-0.8777867
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8439850	-0.8602173	-0.8315406
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8609215	-0.9033980	-0.7890376
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9244944	-0.9331009	-0.9111087
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9506106	-0.9551031	-0.9457560
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9617340	-0.9742262	-0.9484309
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9777556	-0.9850097	-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]	-0.7179745	-0.7969850	-0.6732885
sal + silicate	Atlantic	(26,26.5]	-0.6685981	-0.6968872	-0.6166166
sal + silicate	Atlantic	(26.5,26.75]	-0.6165768	-0.7017144	-0.4824009
sal + silicate	Atlantic	(26.75,27]	-0.5303360	-0.5476353	-0.5015934
sal + silicate	Atlantic	(27,27.25]	-0.7255352	-0.7726427	-0.6609887
sal + silicate	Atlantic	(27.25,27.5]	-0.8053341	-0.8262770	-0.7922185
sal + silicate	Atlantic	(27.5,27.75]	-0.7638322	-0.8055562	-0.7231499
sal + silicate	Atlantic	(27.75,27.85]	-0.7045799	-0.7567342	-0.6584125
sal + silicate	Atlantic	(27.85,27.95]	-0.6610859	-0.7048881	-0.6281679
sal + silicate	Atlantic	(27.95,28.05]	-0.7513966	-0.8692522	-0.5891648
sal + silicate	Atlantic	(28.05,28.1]	-0.8698483	-0.9226926	-0.8251939
sal + silicate	Atlantic	(28.1,28.15]	-0.9175920	-0.9410139	-0.8967364
sal + silicate	Atlantic	(28.15,28.2]	-0.9526381	-0.9733337	-0.9294936
sal + silicate	Atlantic	(28.2, Inf]	-0.8849177	-0.9782900	-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]	0.9271315	0.8591490	0.9792505
sal + tem	Atlantic	(26,26.5]	0.9587716	0.9434088	0.9722042
sal + tem	Atlantic	(26.5,26.75]	0.9862819	0.9802495	0.9901757
sal + tem	Atlantic	(26.75,27]	0.9787162	0.9745610	0.9840770
sal + tem	Atlantic	(27,27.25]	0.9796781	0.9784187	0.9817817
sal + tem	Atlantic	(27.25,27.5]	0.9752146	0.9731639	0.9763128
sal + tem	Atlantic	(27.5,27.75]	0.9694593	0.9644988	0.9727017
sal + tem	Atlantic	(27.75,27.85]	0.9802898	0.9794452	0.9810268
sal + tem	Atlantic	(27.85,27.95]	0.9451842	0.9415125	0.9493241
sal + tem	Atlantic	(27.95,28.05]	0.8954079	0.8625851	0.9232805
sal + tem	Atlantic	(28.05,28.1]	0.9614505	0.9531302	0.9685525
sal + tem	Atlantic	(28.1,28.15]	0.9588322	0.9515702	0.9661370
sal + tem	Atlantic	(28.15,28.2]	0.8958025	0.8895198	0.9022843
sal + tem	Atlantic	(28.2, Inf]	0.2952889	0.1404009	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]	0.6981620	0.5769755	0.7723085
silicate + phosphate	Atlantic	(26,26.5]	0.9142324	0.8895051	0.9338273
silicate + phosphate	Atlantic	(26.5,26.75]	0.9663358	0.9622206	0.9695066
silicate + phosphate	Atlantic	(26.75,27]	0.9451110	0.9196380	0.9581126
silicate + phosphate	Atlantic	(27,27.25]	0.9580020	0.9535001	0.9656975
silicate + phosphate	Atlantic	(27.25,27.5]	0.9135697	0.8918536	0.9315551
silicate + phosphate	Atlantic	(27.5,27.75]	0.8985160	0.8899520	0.9147551
silicate + phosphate	Atlantic	(27.75,27.85]	0.9497356	0.9410032	0.9631703
silicate + phosphate	Atlantic	(27.85,27.95]	0.9706165	0.9656859	0.9755432
silicate + phosphate	Atlantic	(27.95,28.05]	0.9797902	0.9773091	0.9841189
silicate + phosphate	Atlantic	(28.05,28.1]	0.9878103	0.9873026	0.9885166
silicate + phosphate	Atlantic	(28.1,28.15]	0.9936688	0.9933268	0.9939299
silicate + phosphate	Atlantic	(28.15,28.2]	0.9939088	0.9909752	0.9969382
silicate + phosphate	Atlantic	(28.2, Inf]	0.9764970	0.9522516	0.9937540
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]	0.6903156	0.6533103	0.7618108
silicate + phosphate_star	Atlantic	(26,26.5]	0.8043811	0.7724673	0.8605853
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7396047	0.6695780	0.8007092
silicate + phosphate_star	Atlantic	(26.75,27]	0.5920147	0.5698998	0.6038921
silicate + phosphate_star	Atlantic	(27,27.25]	0.7328856	0.6734857	0.7710647
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8571247	0.8366132	0.8727855
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9089771	0.8965484	0.9229088
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9235780	0.9017252	0.9440913
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9158427	0.9058976	0.9310004
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9343032	0.9011341	0.9712061
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9526385	0.9312200	0.9748838
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9751480	0.9672562	0.9856038
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9847225	0.9735169	0.9934188
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8731672	0.7315322	0.9666011
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]	-0.0885021	-0.3425090	0.3065192
tem + aou	Atlantic	(26,26.5]	-0.2035118	-0.3701995	-0.0092747
tem + aou	Atlantic	(26.5,26.75]	-0.3313889	-0.4894569	-0.1986178
tem + aou	Atlantic	(26.75,27]	-0.1899610	-0.2159809	-0.1663616
tem + aou	Atlantic	(27,27.25]	-0.2569778	-0.4106699	-0.1379596
tem + aou	Atlantic	(27.25,27.5]	-0.2054094	-0.3148319	-0.1479325
tem + aou	Atlantic	(27.5,27.75]	-0.4125425	-0.4546473	-0.3335869
tem + aou	Atlantic	(27.75,27.85]	-0.4496069	-0.5296931	-0.3672680
tem + aou	Atlantic	(27.85,27.95]	-0.3182619	-0.4327088	-0.1892903
tem + aou	Atlantic	(27.95,28.05]	-0.5366323	-0.6807520	-0.4118457
tem + aou	Atlantic	(28.05,28.1]	-0.6406127	-0.7861695	-0.5309631
tem + aou	Atlantic	(28.1,28.15]	-0.7068061	-0.7202554	-0.6956956
tem + aou	Atlantic	(28.15,28.2]	-0.7654934	-0.8046305	-0.7143601
tem + aou	Atlantic	(28.2, Inf]	0.3847255	0.2955435	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]	-0.2548418	-0.5686817	-0.0421108
tem + oxygen	Atlantic	(26,26.5]	-0.1931788	-0.4139034	0.0218196
tem + oxygen	Atlantic	(26.5,26.75]	0.0765118	-0.0401069	0.2796851
tem + oxygen	Atlantic	(26.75,27]	-0.0148470	-0.0781579	0.0472757
tem + oxygen	Atlantic	(27,27.25]	0.0351877	-0.0600288	0.2142155
tem + oxygen	Atlantic	(27.25,27.5]	-0.1269840	-0.2422283	0.0181253
tem + oxygen	Atlantic	(27.5,27.75]	0.0416854	-0.0958677	0.1389858
tem + oxygen	Atlantic	(27.75,27.85]	0.2172814	0.1307902	0.3338386
tem + oxygen	Atlantic	(27.85,27.95]	0.1693522	0.0267745	0.3102718
tem + oxygen	Atlantic	(27.95,28.05]	0.4049696	0.2796369	0.5839105
tem + oxygen	Atlantic	(28.05,28.1]	0.5224539	0.3589112	0.7181812
tem + oxygen	Atlantic	(28.1,28.15]	0.6227568	0.6020861	0.6479990
tem + oxygen	Atlantic	(28.15,28.2]	0.7241028	0.6661021	0.7715737
tem + oxygen	Atlantic	(28.2, Inf]	-0.5379540	-0.6459579	-0.4424985
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]	-0.4658670	-0.6413374	-0.3252160
tem + phosphate	Atlantic	(26,26.5]	-0.7181149	-0.7824767	-0.6186692
tem + phosphate	Atlantic	(26.5,26.75]	-0.7285627	-0.7811880	-0.6330724
tem + phosphate	Atlantic	(26.75,27]	-0.6484548	-0.6944657	-0.6160706
tem + phosphate	Atlantic	(27,27.25]	-0.7245427	-0.7813908	-0.6359645
tem + phosphate	Atlantic	(27.25,27.5]	-0.7921891	-0.8153446	-0.7481500
tem + phosphate	Atlantic	(27.5,27.75]	-0.7774998	-0.8024027	-0.7552184
tem + phosphate	Atlantic	(27.75,27.85]	-0.6988536	-0.7195554	-0.6634561
tem + phosphate	Atlantic	(27.85,27.95]	-0.5446900	-0.6052054	-0.4463972
tem + phosphate	Atlantic	(27.95,28.05]	-0.6722003	-0.7378796	-0.5715144
tem + phosphate	Atlantic	(28.05,28.1]	-0.7614431	-0.8301090	-0.7199937
tem + phosphate	Atlantic	(28.1,28.15]	-0.7873900	-0.7954886	-0.7814111
tem + phosphate	Atlantic	(28.15,28.2]	-0.7678198	-0.7838248	-0.7574032
tem + phosphate	Atlantic	(28.2, Inf]	0.0110673	-0.1214116	0.0788866
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]	-0.7212300	-0.8566845	-0.5311396
tem + phosphate_star	Atlantic	(26,26.5]	-0.9278561	-0.9727377	-0.8716933
tem + phosphate_star	Atlantic	(26.5,26.75]	-0.9761812	-0.9834695	-0.9669531
tem + phosphate_star	Atlantic	(26.75,27]	-0.9829302	-0.9864498	-0.9800880
tem + phosphate_star	Atlantic	(27,27.25]	-0.9853137	-0.9877796	-0.9822905
tem + phosphate_star	Atlantic	(27.25,27.5]	-0.9827207	-0.9845017	-0.9806590
tem + phosphate_star	Atlantic	(27.5,27.75]	-0.9361083	-0.9420052	-0.9280738
tem + phosphate_star	Atlantic	(27.75,27.85]	-0.9003554	-0.9053827	-0.8964992
tem + phosphate_star	Atlantic	(27.85,27.95]	-0.8263567	-0.8460576	-0.7919875
tem + phosphate_star	Atlantic	(27.95,28.05]	-0.8218663	-0.8658285	-0.7692665
tem + phosphate_star	Atlantic	(28.05,28.1]	-0.8611122	-0.8785897	-0.8301577
tem + phosphate_star	Atlantic	(28.1,28.15]	-0.8605676	-0.8756980	-0.8446351
tem + phosphate_star	Atlantic	(28.15,28.2]	-0.7867646	-0.8099575	-0.7654332
tem + phosphate_star	Atlantic	(28.2, Inf]	-0.3044439	-0.5739109	-0.1500982
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]	-0.6228996	-0.7356764	-0.5464948
tem + silicate	Atlantic	(26,26.5]	-0.6762847	-0.7019768	-0.6633387
tem + silicate	Atlantic	(26.5,26.75]	-0.6402034	-0.7159446	-0.5273097
tem + silicate	Atlantic	(26.75,27]	-0.5470238	-0.5596025	-0.5281561
tem + silicate	Atlantic	(27,27.25]	-0.7015539	-0.7431286	-0.6406674
tem + silicate	Atlantic	(27.25,27.5]	-0.8433622	-0.8551079	-0.8349626
tem + silicate	Atlantic	(27.5,27.75]	-0.8047479	-0.8428197	-0.7630054
tem + silicate	Atlantic	(27.75,27.85]	-0.7374161	-0.7824796	-0.6920160
tem + silicate	Atlantic	(27.85,27.95]	-0.6433780	-0.6994384	-0.5666891
tem + silicate	Atlantic	(27.95,28.05]	-0.7455564	-0.8295364	-0.6559829
tem + silicate	Atlantic	(28.05,28.1]	-0.7824452	-0.8691954	-0.7262274
tem + silicate	Atlantic	(28.1,28.15]	-0.8004715	-0.8207617	-0.7887081
tem + silicate	Atlantic	(28.15,28.2]	-0.7618497	-0.7967451	-0.7211328
tem + silicate	Atlantic	(28.2, Inf]	0.0260593	-0.0594088	0.1074401
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
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]	0.3872791	0.1553106	0.5059337
aou	Atlantic	(26,26.5]	-0.1296151	-0.4224115	0.1240372
aou	Atlantic	(26.5,26.75]	-0.3887651	-0.4156827	-0.3648908
aou	Atlantic	(26.75,27]	-0.2640875	-0.3293015	-0.1559418
aou	Atlantic	(27,27.25]	-0.4726318	-0.5466637	-0.3976029
aou	Atlantic	(27.25,27.5]	-0.4659842	-0.5007875	-0.4099838
aou	Atlantic	(27.5,27.75]	-0.7767797	-0.8248754	-0.7441225
aou	Atlantic	(27.75,27.85]	-0.9039893	-0.9411653	-0.8760412
aou	Atlantic	(27.85,27.95]	-0.9215795	-0.9462862	-0.9030406
aou	Atlantic	(27.95,28.05]	-0.8764817	-0.8857416	-0.8605911
aou	Atlantic	(28.05,28.1]	-0.8394814	-0.8428613	-0.8342345
aou	Atlantic	(28.1,28.15]	-0.8831818	-0.8913987	-0.8702039
aou	Atlantic	(28.15,28.2]	-0.9359675	-0.9631404	-0.9136319
aou	Atlantic	(28.2, Inf]	-0.1218286	-0.3071930	-0.0014082
aou	Indo-Pacific	(-Inf,26]	-0.1567864	-0.3421643	-0.0046401
aou	Indo-Pacific	(26,26.5]	-0.7192300	-0.7396590	-0.7067197
aou	Indo-Pacific	(26.5,26.75]	-0.7330328	-0.7527931	-0.7133553
aou	Indo-Pacific	(26.75,27]	-0.7068706	-0.8058617	-0.6101898
aou	Indo-Pacific	(27,27.25]	0.0166043	-0.0313616	0.0739666
aou	Indo-Pacific	(27.25,27.5]	0.5637404	0.4981244	0.6327733
aou	Indo-Pacific	(27.5,27.75]	0.6981434	0.5900238	0.7675821
aou	Indo-Pacific	(27.75,27.85]	0.7539033	0.6270462	0.8307664
aou	Indo-Pacific	(27.85,27.95]	0.6997372	0.5593451	0.7969135
aou	Indo-Pacific	(27.95,28.05]	0.4741098	0.3057860	0.6420293
aou	Indo-Pacific	(28.05,28.1]	0.2373422	0.1658351	0.3704667
aou	Indo-Pacific	(28.1, Inf]	0.3526962	0.2045989	0.6320118
oxygen	Atlantic	(-Inf,26]	-0.3899427	-0.4987223	-0.1870520
oxygen	Atlantic	(26,26.5]	-0.1480358	-0.4629446	0.2590450
oxygen	Atlantic	(26.5,26.75]	0.1681643	0.0929870	0.2062784
oxygen	Atlantic	(26.75,27]	0.0814406	-0.0175237	0.1777485
oxygen	Atlantic	(27,27.25]	0.2750271	0.2168130	0.3780000
oxygen	Atlantic	(27.25,27.5]	0.1560715	0.0276432	0.2324708
oxygen	Atlantic	(27.5,27.75]	0.5038335	0.4090644	0.6163725
oxygen	Atlantic	(27.75,27.85]	0.7997020	0.7606138	0.8760988
oxygen	Atlantic	(27.85,27.95]	0.8888834	0.8585493	0.9321434
oxygen	Atlantic	(27.95,28.05]	0.8577205	0.8139941	0.8884683
oxygen	Atlantic	(28.05,28.1]	0.8198986	0.7837247	0.8518367
oxygen	Atlantic	(28.1,28.15]	0.8765611	0.8555277	0.8979165
oxygen	Atlantic	(28.15,28.2]	0.9404317	0.9242478	0.9554920
oxygen	Atlantic	(28.2, Inf]	-0.0606270	-0.1662647	0.0720312
oxygen	Indo-Pacific	(-Inf,26]	0.2560578	0.1271689	0.3881240
oxygen	Indo-Pacific	(26,26.5]	0.6325107	0.5962037	0.6594993
oxygen	Indo-Pacific	(26.5,26.75]	0.6444360	0.6217890	0.6620804
oxygen	Indo-Pacific	(26.75,27]	0.6282515	0.5328506	0.7427059
oxygen	Indo-Pacific	(27,27.25]	-0.0008178	-0.0770531	0.0734237
oxygen	Indo-Pacific	(27.25,27.5]	-0.5161001	-0.5981916	-0.4420301
oxygen	Indo-Pacific	(27.5,27.75]	-0.6459372	-0.7340997	-0.5061142
oxygen	Indo-Pacific	(27.75,27.85]	-0.7211201	-0.8153307	-0.5654880
oxygen	Indo-Pacific	(27.85,27.95]	-0.6765301	-0.7847534	-0.5184322
oxygen	Indo-Pacific	(27.95,28.05]	-0.4677093	-0.6352651	-0.2943777
oxygen	Indo-Pacific	(28.05,28.1]	-0.2484026	-0.3778515	-0.1739637
oxygen	Indo-Pacific	(28.1, Inf]	-0.3789923	-0.6563946	-0.2310844
phosphate	Atlantic	(-Inf,26]	-0.1258652	-0.3362298	0.0411919
phosphate	Atlantic	(26,26.5]	-0.6461969	-0.6683503	-0.6253082
phosphate	Atlantic	(26.5,26.75]	-0.7448065	-0.7879825	-0.6773512
phosphate	Atlantic	(26.75,27]	-0.6900767	-0.7758763	-0.5931304
phosphate	Atlantic	(27,27.25]	-0.8601214	-0.9034316	-0.8157359
phosphate	Atlantic	(27.25,27.5]	-0.9352978	-0.9546718	-0.9166341
phosphate	Atlantic	(27.5,27.75]	-0.9826333	-0.9867818	-0.9771952
phosphate	Atlantic	(27.75,27.85]	-0.9700636	-0.9736834	-0.9640050
phosphate	Atlantic	(27.85,27.95]	-0.9430263	-0.9461339	-0.9403878
phosphate	Atlantic	(27.95,28.05]	-0.9094230	-0.9220632	-0.8915085
phosphate	Atlantic	(28.05,28.1]	-0.8859486	-0.9017567	-0.8644854
phosphate	Atlantic	(28.1,28.15]	-0.9134536	-0.9330448	-0.9012172
phosphate	Atlantic	(28.15,28.2]	-0.9614944	-0.9847597	-0.9437347
phosphate	Atlantic	(28.2, Inf]	-0.7708971	-0.8142602	-0.7136856
phosphate	Indo-Pacific	(-Inf,26]	-0.1848541	-0.3949239	-0.0256547
phosphate	Indo-Pacific	(26,26.5]	-0.8352061	-0.8585141	-0.8005506
phosphate	Indo-Pacific	(26.5,26.75]	-0.8696211	-0.8916356	-0.8503527
phosphate	Indo-Pacific	(26.75,27]	-0.8331869	-0.8930007	-0.7490802
phosphate	Indo-Pacific	(27,27.25]	-0.0698501	-0.0913465	-0.0388786
phosphate	Indo-Pacific	(27.25,27.5]	0.4808898	0.4072002	0.5602590
phosphate	Indo-Pacific	(27.5,27.75]	0.6096571	0.5031246	0.6876795
phosphate	Indo-Pacific	(27.75,27.85]	0.6716165	0.5281515	0.7584896
phosphate	Indo-Pacific	(27.85,27.95]	0.6058991	0.4365048	0.7314104
phosphate	Indo-Pacific	(27.95,28.05]	0.3404904	0.1310808	0.5649884
phosphate	Indo-Pacific	(28.05,28.1]	0.0706416	-0.0619132	0.2737337
phosphate	Indo-Pacific	(28.1, Inf]	-0.0072626	-0.2108207	0.3232369
phosphate_star	Atlantic	(-Inf,26]	-0.4179517	-0.5685529	-0.2230014
phosphate_star	Atlantic	(26,26.5]	-0.8111934	-0.8472205	-0.7655304
phosphate_star	Atlantic	(26.5,26.75]	-0.9190308	-0.9604853	-0.8851380
phosphate_star	Atlantic	(26.75,27]	-0.9480226	-0.9610602	-0.9286757
phosphate_star	Atlantic	(27,27.25]	-0.9556803	-0.9603146	-0.9525143
phosphate_star	Atlantic	(27.25,27.5]	-0.9567594	-0.9692840	-0.9458544
phosphate_star	Atlantic	(27.5,27.75]	-0.9365312	-0.9543958	-0.9196904
phosphate_star	Atlantic	(27.75,27.85]	-0.8947473	-0.9174228	-0.8802246
phosphate_star	Atlantic	(27.85,27.95]	-0.8077629	-0.8243486	-0.7893379
phosphate_star	Atlantic	(27.95,28.05]	-0.8401173	-0.8566036	-0.8165543
phosphate_star	Atlantic	(28.05,28.1]	-0.8614488	-0.8893769	-0.8428854
phosphate_star	Atlantic	(28.1,28.15]	-0.8958344	-0.9265281	-0.8791684
phosphate_star	Atlantic	(28.15,28.2]	-0.9617668	-0.9810093	-0.9473391
phosphate_star	Atlantic	(28.2, Inf]	-0.8134549	-0.8299042	-0.8029613
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0789075	-0.3031046	0.0509179
phosphate_star	Indo-Pacific	(26,26.5]	-0.8062242	-0.8563599	-0.7582997
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7974408	-0.8925038	-0.6828748
phosphate_star	Indo-Pacific	(26.75,27]	-0.7134583	-0.8268041	-0.6324421
phosphate_star	Indo-Pacific	(27,27.25]	-0.1903653	-0.3217124	-0.0395605
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3013776	-0.3376161	-0.2391410
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4957241	-0.6558474	-0.2745163
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5425749	-0.7502371	-0.3283510
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3399096	-0.3682392	-0.2868334
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2641470	-0.3228643	-0.1516661
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3405977	-0.4600193	-0.1597889
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5400571	-0.6637273	-0.4744191
sal	Atlantic	(-Inf,26]	0.2152146	0.1387504	0.3477233
sal	Atlantic	(26,26.5]	0.7330987	0.5994394	0.8281377
sal	Atlantic	(26.5,26.75]	0.8796184	0.8706267	0.8959179
sal	Atlantic	(26.75,27]	0.9192945	0.8974716	0.9335834
sal	Atlantic	(27,27.25]	0.9384629	0.9289079	0.9438658
sal	Atlantic	(27.25,27.5]	0.9290049	0.9035216	0.9512100
sal	Atlantic	(27.5,27.75]	0.8299980	0.8109682	0.8616007
sal	Atlantic	(27.75,27.85]	0.6819884	0.6505603	0.7170519
sal	Atlantic	(27.85,27.95]	0.4573265	0.4213344	0.4845199
sal	Atlantic	(27.95,28.05]	0.5140999	0.3452332	0.6214603
sal	Atlantic	(28.05,28.1]	0.6605573	0.6489997	0.6669346
sal	Atlantic	(28.1,28.15]	0.7535155	0.7131090	0.7959043
sal	Atlantic	(28.15,28.2]	0.8724635	0.8267338	0.9292739
sal	Atlantic	(28.2, Inf]	0.7138885	0.7010661	0.7386711
sal	Indo-Pacific	(-Inf,26]	0.0246556	-0.0300162	0.0605450
sal	Indo-Pacific	(26,26.5]	0.4385317	0.3254287	0.6420304
sal	Indo-Pacific	(26.5,26.75]	0.4804976	0.2857860	0.7282808
sal	Indo-Pacific	(26.75,27]	0.4495145	0.3445517	0.6537096
sal	Indo-Pacific	(27,27.25]	-0.2294174	-0.4604051	-0.1081254
sal	Indo-Pacific	(27.25,27.5]	-0.3335918	-0.5360189	-0.1288029
sal	Indo-Pacific	(27.5,27.75]	-0.2691971	-0.3793802	-0.2041826
sal	Indo-Pacific	(27.75,27.85]	-0.3925702	-0.5364662	-0.3202140
sal	Indo-Pacific	(27.85,27.95]	-0.3742504	-0.5587857	-0.2397674
sal	Indo-Pacific	(27.95,28.05]	-0.1025789	-0.1943488	-0.0059222
sal	Indo-Pacific	(28.05,28.1]	0.0284796	-0.1103854	0.1487889
sal	Indo-Pacific	(28.1, Inf]	0.2855891	0.2475837	0.3322752
silicate	Atlantic	(-Inf,26]	-0.1903293	-0.4015523	-0.0487330
silicate	Atlantic	(26,26.5]	-0.6211798	-0.6900723	-0.5795618
silicate	Atlantic	(26.5,26.75]	-0.6751247	-0.7086797	-0.6205893
silicate	Atlantic	(26.75,27]	-0.5880763	-0.6461333	-0.5006605
silicate	Atlantic	(27,27.25]	-0.8244631	-0.8495381	-0.8116916
silicate	Atlantic	(27.25,27.5]	-0.8954959	-0.9115968	-0.8716729
silicate	Atlantic	(27.5,27.75]	-0.8830590	-0.8908484	-0.8759776
silicate	Atlantic	(27.75,27.85]	-0.8851793	-0.9099745	-0.8595234
silicate	Atlantic	(27.85,27.95]	-0.8687844	-0.8853844	-0.8568740
silicate	Atlantic	(27.95,28.05]	-0.8476213	-0.8721909	-0.8142382
silicate	Atlantic	(28.05,28.1]	-0.8416892	-0.8579686	-0.8136012
silicate	Atlantic	(28.1,28.15]	-0.8911917	-0.9126349	-0.8752962
silicate	Atlantic	(28.15,28.2]	-0.9483844	-0.9726912	-0.9272892
silicate	Atlantic	(28.2, Inf]	-0.6298628	-0.7611035	-0.4939783
silicate	Indo-Pacific	(-Inf,26]	-0.2096175	-0.3876598	-0.0798156
silicate	Indo-Pacific	(26,26.5]	-0.7219144	-0.7418258	-0.6928465
silicate	Indo-Pacific	(26.5,26.75]	-0.7174342	-0.7683758	-0.6170679
silicate	Indo-Pacific	(26.75,27]	-0.6358880	-0.6812419	-0.6065523
silicate	Indo-Pacific	(27,27.25]	0.2359051	0.1861964	0.2992433
silicate	Indo-Pacific	(27.25,27.5]	0.7618736	0.6958416	0.7995549
silicate	Indo-Pacific	(27.5,27.75]	0.8363355	0.7693525	0.8731956
silicate	Indo-Pacific	(27.75,27.85]	0.7918945	0.6925127	0.8565974
silicate	Indo-Pacific	(27.85,27.95]	0.6912438	0.5551511	0.7915528
silicate	Indo-Pacific	(27.95,28.05]	0.4403203	0.2614027	0.6288569
silicate	Indo-Pacific	(28.05,28.1]	0.1727369	0.0857238	0.3144397
silicate	Indo-Pacific	(28.1, Inf]	0.0240227	-0.0995697	0.2414127
tem	Atlantic	(-Inf,26]	0.0296705	-0.1676564	0.1932243
tem	Atlantic	(26,26.5]	0.6775382	0.5083068	0.7784713
tem	Atlantic	(26.5,26.75]	0.8688807	0.8468694	0.9011387
tem	Atlantic	(26.75,27]	0.9009072	0.8729438	0.9177938
tem	Atlantic	(27,27.25]	0.9120191	0.9008860	0.9207487
tem	Atlantic	(27.25,27.5]	0.9133667	0.8918277	0.9355441
tem	Atlantic	(27.5,27.75]	0.8014525	0.7797027	0.8404145
tem	Atlantic	(27.75,27.85]	0.6772921	0.6548245	0.7187380
tem	Atlantic	(27.85,27.95]	0.4390687	0.3597334	0.5110496
tem	Atlantic	(27.95,28.05]	0.5057692	0.4040216	0.5893397
tem	Atlantic	(28.05,28.1]	0.5613222	0.5497003	0.5795153
tem	Atlantic	(28.1,28.15]	0.6024694	0.5261725	0.6568218
tem	Atlantic	(28.15,28.2]	0.6281867	0.5669665	0.7204674
tem	Atlantic	(28.2, Inf]	0.5737449	0.5557251	0.6031643
tem	Indo-Pacific	(-Inf,26]	-0.2706398	-0.3387337	-0.1840602
tem	Indo-Pacific	(26,26.5]	0.4563177	0.3307054	0.6314362
tem	Indo-Pacific	(26.5,26.75]	0.4728928	0.2917944	0.7092082
tem	Indo-Pacific	(26.75,27]	0.4943304	0.3876770	0.6763847
tem	Indo-Pacific	(27,27.25]	-0.1097950	-0.3217675	0.0298625
tem	Indo-Pacific	(27.25,27.5]	-0.3048939	-0.4694038	-0.1290326
tem	Indo-Pacific	(27.5,27.75]	-0.3187689	-0.4409320	-0.2394512
tem	Indo-Pacific	(27.75,27.85]	-0.3303045	-0.4763195	-0.2463133
tem	Indo-Pacific	(27.85,27.95]	-0.2609840	-0.3972024	-0.1376846
tem	Indo-Pacific	(27.95,28.05]	0.0222245	-0.0323465	0.0498252
tem	Indo-Pacific	(28.05,28.1]	0.1479272	0.1006341	0.1751351
tem	Indo-Pacific	(28.1, Inf]	0.3984739	0.2332100	0.6834204

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