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1 Required data

Required are:

cleaned and prepared GLODAPv2.2020 file

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

2 Predictor correlation

The correlation between:

pairs of seven potential predictor variables and
C* and seven potential predictor variables

were investigated based on:

property-property plots and
calculated correlation coeffcients.

2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

for (i_basin in unique(GLODAP$basin)) {
# i_basin <- unique(GLODAP$basin)[1]

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "temp",
                      "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:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Version	Author	Date
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

Version	Author	Date
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

Version	Author	Date
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

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

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

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    # print(i_basin)
    # print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      # print(i_gamma_slab)
      
      GLODAP_highlight <- GLODAP_basin_era %>%
        mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                         "in", "out")) %>%
        arrange(desc(gamma_highlight))
      
      p <- GLODAP_highlight %>%
        ggpairs(
          columns = c(
            "cstar",
            "sal",
            "temp",
            "aou",
            "oxygen",
            "silicate",
            "phosphate",
            "phosphate_star"
          ),
          ggplot2::aes(
            col = gamma_highlight,
            fill = gamma_highlight,
            alpha = 0.01
          )
        ) +
        scale_fill_manual(values = c("red", "grey")) +
        scale_color_manual(values = c("red", "grey")) +
        labs(
          title = paste(
            i_era,
            "|",
            i_basin,
            "| Gamma slab",
            i_gamma_slab,
            "| # obs total",
            nrow(GLODAP_basin_era),
            "| # obs slab",
            nrow(GLODAP_highlight %>%
                   filter(gamma_highlight == "in"))
          )
        )
      
      png(
        filename = paste(
          path_version_figures,
          "Observations_correlation/",
          paste(
            "Predictor_correlation",
            i_era,
            i_basin,
            i_gamma_slab,
            ".png",
            sep = "_"
          ),
          sep = ""),
        width = 12,
        height = 12,
        units = "in",
        res = 300
      )
      
      print(p)
      
      dev.off()
      
    }
  }
}

}

2.2 Correlation assesment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated indivdually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {

# i_basin <- unique(GLODAP$basin)[1]
# i_era   <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)

GLODAP_basin_era <- GLODAP %>% 
  filter(basin == i_basin,
         era == i_era) %>% 
  select(basin,
         era,
         gamma_slab,
         cstar,
         sal,
         temp,
         aou,
         oxygen,
         silicate,
         phosphate,
         phosphate_star)

for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
  
  # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
  print(i_gamma_slab)
  
  GLODAP_basin_era_slab <- GLODAP_basin_era %>%
    filter(gamma_slab == i_gamma_slab)

  cor_cstar_predictor_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    focus(cstar) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
  if (exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- bind_rows(cor_cstar_predictor, cor_cstar_predictor_temp)
      }
      
    if (!exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- cor_cstar_predictor_temp
    }
  
  
  cor_predictors_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    shave %>% 
    stretch() %>% 
    filter(!is.na(r),
           x != "cstar",
           y != "cstar") %>% 
    mutate(pair = paste(x, y, sep = " + ")) %>% 
    select(-c(x, y)) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
    if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
    if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
    }
  
  
  
    }
  }
}

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

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

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

Version	Author	Date
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + oxygen	Atlantic	(-Inf,26]	-0.9358466	-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	Indian	(-Inf,26]	-0.9925371	-0.9951880	-0.9894940
aou + oxygen	Indian	(26,26.5]	-0.9972808	-0.9979837	-0.9967950
aou + oxygen	Indian	(26.5,26.75]	-0.9973925	-0.9977915	-0.9967660
aou + oxygen	Indian	(26.75,27]	-0.9896736	-0.9969964	-0.9777727
aou + oxygen	Indian	(27,27.25]	-0.9946484	-0.9960254	-0.9927718
aou + oxygen	Indian	(27.25,27.5]	-0.9955825	-0.9959296	-0.9948976
aou + oxygen	Indian	(27.5,27.75]	-0.9960533	-0.9963623	-0.9958383
aou + oxygen	Indian	(27.75,27.85]	-0.9969940	-0.9979222	-0.9960605
aou + oxygen	Indian	(27.85,27.95]	-0.9927262	-0.9958374	-0.9896330
aou + oxygen	Indian	(27.95,28.05]	-0.9899943	-0.9917612	-0.9867303
aou + oxygen	Indian	(28.05,28.1]	-0.9899366	-0.9953131	-0.9865018
aou + oxygen	Indian	(28.1, Inf]	-0.9899080	-0.9927900	-0.9880373
aou + oxygen	Pacific	(-Inf,26]	-0.8763477	-0.9016053	-0.8528145
aou + oxygen	Pacific	(26,26.5]	-0.9813002	-0.9861342	-0.9775820
aou + oxygen	Pacific	(26.5,26.75]	-0.9869595	-0.9886744	-0.9837760
aou + oxygen	Pacific	(26.75,27]	-0.9792699	-0.9816087	-0.9756387
aou + oxygen	Pacific	(27,27.25]	-0.9934505	-0.9942717	-0.9928149
aou + oxygen	Pacific	(27.25,27.5]	-0.9956148	-0.9964196	-0.9947836
aou + oxygen	Pacific	(27.5,27.75]	-0.9942805	-0.9952064	-0.9931637
aou + oxygen	Pacific	(27.75,27.85]	-0.9980637	-0.9989682	-0.9974563
aou + oxygen	Pacific	(27.85,27.95]	-0.9984726	-0.9992797	-0.9979553
aou + oxygen	Pacific	(27.95,28.05]	-0.9977770	-0.9982823	-0.9969346
aou + oxygen	Pacific	(28.05,28.1]	-0.9974355	-0.9979537	-0.9967277
aou + oxygen	Pacific	(28.1, Inf]	-0.9916260	-0.9942862	-0.9889664
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	Indian	(-Inf,26]	0.9938832	0.9914874	0.9959352
aou + phosphate	Indian	(26,26.5]	0.9952505	0.9930291	0.9971531
aou + phosphate	Indian	(26.5,26.75]	0.9835506	0.9752223	0.9936599
aou + phosphate	Indian	(26.75,27]	0.9177726	0.8301232	0.9761899
aou + phosphate	Indian	(27,27.25]	0.9208962	0.8726480	0.9649636
aou + phosphate	Indian	(27.25,27.5]	0.9397608	0.9252537	0.9558957
aou + phosphate	Indian	(27.5,27.75]	0.9490595	0.9328737	0.9593044
aou + phosphate	Indian	(27.75,27.85]	0.8980714	0.8367615	0.9584349
aou + phosphate	Indian	(27.85,27.95]	0.8744968	0.8312135	0.9384372
aou + phosphate	Indian	(27.95,28.05]	0.7885012	0.6741957	0.9153298
aou + phosphate	Indian	(28.05,28.1]	0.7651785	0.6280239	0.9264777
aou + phosphate	Indian	(28.1, Inf]	0.4431326	0.1330968	0.6629513
aou + phosphate	Pacific	(-Inf,26]	0.9040086	0.8799423	0.9450791
aou + phosphate	Pacific	(26,26.5]	0.9427267	0.9280046	0.9543396
aou + phosphate	Pacific	(26.5,26.75]	0.9356818	0.9324628	0.9398142
aou + phosphate	Pacific	(26.75,27]	0.9276523	0.9190827	0.9410329
aou + phosphate	Pacific	(27,27.25]	0.9792789	0.9772458	0.9807355
aou + phosphate	Pacific	(27.25,27.5]	0.9768254	0.9690547	0.9818922
aou + phosphate	Pacific	(27.5,27.75]	0.9606158	0.9558538	0.9695625
aou + phosphate	Pacific	(27.75,27.85]	0.9817354	0.9706276	0.9873357
aou + phosphate	Pacific	(27.85,27.95]	0.9826541	0.9723910	0.9885800
aou + phosphate	Pacific	(27.95,28.05]	0.9750267	0.9608666	0.9846957
aou + phosphate	Pacific	(28.05,28.1]	0.9628887	0.9443050	0.9755752
aou + phosphate	Pacific	(28.1, Inf]	0.8895736	0.8165076	0.9386904
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	Indian	(-Inf,26]	0.9423127	0.9409325	0.9450443
aou + phosphate_star	Indian	(26,26.5]	0.9413809	0.9093453	0.9739166
aou + phosphate_star	Indian	(26.5,26.75]	0.7664148	0.7049372	0.8596952
aou + phosphate_star	Indian	(26.75,27]	0.1468596	0.1079360	0.1767838
aou + phosphate_star	Indian	(27,27.25]	-0.5282464	-0.5588416	-0.5111680
aou + phosphate_star	Indian	(27.25,27.5]	-0.8229978	-0.8436137	-0.8096401
aou + phosphate_star	Indian	(27.5,27.75]	-0.8934272	-0.9029260	-0.8840267
aou + phosphate_star	Indian	(27.75,27.85]	-0.7073711	-0.7627463	-0.6534473
aou + phosphate_star	Indian	(27.85,27.95]	-0.4622626	-0.5917748	-0.3107627
aou + phosphate_star	Indian	(27.95,28.05]	-0.3646161	-0.7107611	0.0561214
aou + phosphate_star	Indian	(28.05,28.1]	-0.2453160	-0.6238369	0.3126147
aou + phosphate_star	Indian	(28.1, Inf]	-0.7663082	-0.8532953	-0.6065093
aou + phosphate_star	Pacific	(-Inf,26]	0.5757086	0.5001784	0.7221106
aou + phosphate_star	Pacific	(26,26.5]	0.4985318	0.4080272	0.5771746
aou + phosphate_star	Pacific	(26.5,26.75]	0.1760397	-0.0007260	0.3474030
aou + phosphate_star	Pacific	(26.75,27]	0.2069988	0.1534681	0.2379807
aou + phosphate_star	Pacific	(27,27.25]	0.2294905	0.1835610	0.2643454
aou + phosphate_star	Pacific	(27.25,27.5]	-0.3469876	-0.4101366	-0.2645455
aou + phosphate_star	Pacific	(27.5,27.75]	-0.2925905	-0.6449935	0.1748887
aou + phosphate_star	Pacific	(27.75,27.85]	-0.6426392	-0.6549130	-0.6190434
aou + phosphate_star	Pacific	(27.85,27.95]	-0.3361759	-0.4037441	-0.2037279
aou + phosphate_star	Pacific	(27.95,28.05]	0.1983355	0.0417391	0.3110254
aou + phosphate_star	Pacific	(28.05,28.1]	0.4330215	0.2945401	0.5131572
aou + phosphate_star	Pacific	(28.1, Inf]	-0.4405526	-0.5671612	-0.3676820
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	Indian	(-Inf,26]	0.9286154	0.8524933	0.9768449
aou + silicate	Indian	(26,26.5]	0.9529753	0.9053691	0.9962615
aou + silicate	Indian	(26.5,26.75]	0.9645564	0.9284683	0.9927638
aou + silicate	Indian	(26.75,27]	0.9648178	0.9528232	0.9805534
aou + silicate	Indian	(27,27.25]	0.9368593	0.8991093	0.9595332
aou + silicate	Indian	(27.25,27.5]	0.8971226	0.8426603	0.9373348
aou + silicate	Indian	(27.5,27.75]	0.8810732	0.7941516	0.9470670
aou + silicate	Indian	(27.75,27.85]	0.9034972	0.8750774	0.9437537
aou + silicate	Indian	(27.85,27.95]	0.8606411	0.8437777	0.8914673
aou + silicate	Indian	(27.95,28.05]	0.8438511	0.7958474	0.9089289
aou + silicate	Indian	(28.05,28.1]	0.9002755	0.8704209	0.9448704
aou + silicate	Indian	(28.1, Inf]	0.4604909	0.2757271	0.6335897
aou + silicate	Pacific	(-Inf,26]	0.6104392	0.5302921	0.7199806
aou + silicate	Pacific	(26,26.5]	0.5300348	0.4682691	0.6069540
aou + silicate	Pacific	(26.5,26.75]	0.3955160	0.2988935	0.5251530
aou + silicate	Pacific	(26.75,27]	0.5970947	0.5495227	0.6590396
aou + silicate	Pacific	(27,27.25]	0.8814900	0.8667422	0.9087646
aou + silicate	Pacific	(27.25,27.5]	0.9101723	0.8974756	0.9340265
aou + silicate	Pacific	(27.5,27.75]	0.9293705	0.9089435	0.9428946
aou + silicate	Pacific	(27.75,27.85]	0.9677121	0.9620456	0.9709106
aou + silicate	Pacific	(27.85,27.95]	0.9612594	0.9561063	0.9656117
aou + silicate	Pacific	(27.95,28.05]	0.9368529	0.9290481	0.9431348
aou + silicate	Pacific	(28.05,28.1]	0.9330941	0.9148667	0.9456677
aou + silicate	Pacific	(28.1, Inf]	0.6698515	0.6059024	0.7560186
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	Indian	(-Inf,26]	-0.9799678	-0.9852563	-0.9696964
oxygen + phosphate	Indian	(26,26.5]	-0.9871887	-0.9907596	-0.9824824
oxygen + phosphate	Indian	(26.5,26.75]	-0.9699686	-0.9870000	-0.9548721
oxygen + phosphate	Indian	(26.75,27]	-0.8552828	-0.9600286	-0.6968290
oxygen + phosphate	Indian	(27,27.25]	-0.8794476	-0.9436178	-0.8095215
oxygen + phosphate	Indian	(27.25,27.5]	-0.9084871	-0.9292318	-0.8890298
oxygen + phosphate	Indian	(27.5,27.75]	-0.9328703	-0.9470367	-0.9108015
oxygen + phosphate	Indian	(27.75,27.85]	-0.8740503	-0.9468181	-0.7971953
oxygen + phosphate	Indian	(27.85,27.95]	-0.8208546	-0.9125371	-0.7544792
oxygen + phosphate	Indian	(27.95,28.05]	-0.7054565	-0.8662064	-0.5780915
oxygen + phosphate	Indian	(28.05,28.1]	-0.6773989	-0.8976300	-0.5045392
oxygen + phosphate	Indian	(28.1, Inf]	-0.3319528	-0.5581571	0.0056953
oxygen + phosphate	Pacific	(-Inf,26]	-0.6730722	-0.7534924	-0.5921813
oxygen + phosphate	Pacific	(26,26.5]	-0.8697166	-0.8984285	-0.8459893
oxygen + phosphate	Pacific	(26.5,26.75]	-0.8741008	-0.8825290	-0.8632607
oxygen + phosphate	Pacific	(26.75,27]	-0.8399315	-0.8651731	-0.8183873
oxygen + phosphate	Pacific	(27,27.25]	-0.9558101	-0.9577138	-0.9534624
oxygen + phosphate	Pacific	(27.25,27.5]	-0.9694978	-0.9731811	-0.9646490
oxygen + phosphate	Pacific	(27.5,27.75]	-0.9690536	-0.9755333	-0.9630828
oxygen + phosphate	Pacific	(27.75,27.85]	-0.9803597	-0.9895575	-0.9657868
oxygen + phosphate	Pacific	(27.85,27.95]	-0.9803782	-0.9896684	-0.9665857
oxygen + phosphate	Pacific	(27.95,28.05]	-0.9673280	-0.9789824	-0.9484784
oxygen + phosphate	Pacific	(28.05,28.1]	-0.9504835	-0.9651414	-0.9283641
oxygen + phosphate	Pacific	(28.1, Inf]	-0.8386662	-0.9032012	-0.7459236
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	Indian	(-Inf,26]	-0.9041161	-0.9216236	-0.8837452
oxygen + phosphate_star	Indian	(26,26.5]	-0.9173148	-0.9581342	-0.8773341
oxygen + phosphate_star	Indian	(26.5,26.75]	-0.7227214	-0.8309292	-0.6583697
oxygen + phosphate_star	Indian	(26.75,27]	-0.0204634	-0.0525682	0.0312482
oxygen + phosphate_star	Indian	(27,27.25]	0.6078387	0.5939919	0.6207456
oxygen + phosphate_star	Indian	(27.25,27.5]	0.8687165	0.8557123	0.8873650
oxygen + phosphate_star	Indian	(27.5,27.75]	0.9187075	0.9088623	0.9259537
oxygen + phosphate_star	Indian	(27.75,27.85]	0.7457620	0.7063065	0.7949518
oxygen + phosphate_star	Indian	(27.85,27.95]	0.5494451	0.3795234	0.6747662
oxygen + phosphate_star	Indian	(27.95,28.05]	0.4738313	0.0567549	0.7929429
oxygen + phosphate_star	Indian	(28.05,28.1]	0.3511074	-0.2409568	0.7344759
oxygen + phosphate_star	Indian	(28.1, Inf]	0.8401599	0.7096521	0.9183864
oxygen + phosphate_star	Pacific	(-Inf,26]	-0.1829185	-0.3876960	-0.0469914
oxygen + phosphate_star	Pacific	(26,26.5]	-0.3355016	-0.4031028	-0.2324511
oxygen + phosphate_star	Pacific	(26.5,26.75]	-0.0282258	-0.1838601	0.1444260
oxygen + phosphate_star	Pacific	(26.75,27]	-0.0139395	-0.0516588	0.0300050
oxygen + phosphate_star	Pacific	(27,27.25]	-0.1300746	-0.1641506	-0.0874382
oxygen + phosphate_star	Pacific	(27.25,27.5]	0.3922491	0.3002708	0.4588832
oxygen + phosphate_star	Pacific	(27.5,27.75]	0.2764079	-0.2340233	0.6785247
oxygen + phosphate_star	Pacific	(27.75,27.85]	0.6544187	0.6422454	0.6727233
oxygen + phosphate_star	Pacific	(27.85,27.95]	0.3518516	0.2013073	0.4293500
oxygen + phosphate_star	Pacific	(27.95,28.05]	-0.1609932	-0.2766569	0.0065554
oxygen + phosphate_star	Pacific	(28.05,28.1]	-0.3899446	-0.4740375	-0.2458487
oxygen + phosphate_star	Pacific	(28.1, Inf]	0.5343708	0.4546333	0.6630582
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	Indian	(-Inf,26]	-0.8983745	-0.9441616	-0.8105797
oxygen + silicate	Indian	(26,26.5]	-0.9395914	-0.9922979	-0.8803833
oxygen + silicate	Indian	(26.5,26.75]	-0.9529829	-0.9837545	-0.9098901
oxygen + silicate	Indian	(26.75,27]	-0.9468788	-0.9690133	-0.9333497
oxygen + silicate	Indian	(27,27.25]	-0.9072035	-0.9281212	-0.8669898
oxygen + silicate	Indian	(27.25,27.5]	-0.8589236	-0.9066332	-0.7927972
oxygen + silicate	Indian	(27.5,27.75]	-0.8459929	-0.9228973	-0.7451906
oxygen + silicate	Indian	(27.75,27.85]	-0.8841077	-0.9240610	-0.8540780
oxygen + silicate	Indian	(27.85,27.95]	-0.8120408	-0.8646492	-0.7838352
oxygen + silicate	Indian	(27.95,28.05]	-0.7767479	-0.8657009	-0.7260764
oxygen + silicate	Indian	(28.05,28.1]	-0.8430823	-0.9254674	-0.7956432
oxygen + silicate	Indian	(28.1, Inf]	-0.3539298	-0.5574065	-0.1530264
oxygen + silicate	Pacific	(-Inf,26]	-0.2696346	-0.4240415	-0.1903199
oxygen + silicate	Pacific	(26,26.5]	-0.3963675	-0.4698143	-0.3205607
oxygen + silicate	Pacific	(26.5,26.75]	-0.2664037	-0.3866658	-0.1759708
oxygen + silicate	Pacific	(26.75,27]	-0.4399619	-0.5164626	-0.3691353
oxygen + silicate	Pacific	(27,27.25]	-0.8309915	-0.8667579	-0.8122980
oxygen + silicate	Pacific	(27.25,27.5]	-0.8750046	-0.9070106	-0.8564063
oxygen + silicate	Pacific	(27.5,27.75]	-0.8977588	-0.9149354	-0.8729809
oxygen + silicate	Pacific	(27.75,27.85]	-0.9579673	-0.9649071	-0.9479326
oxygen + silicate	Pacific	(27.85,27.95]	-0.9515492	-0.9565647	-0.9429211
oxygen + silicate	Pacific	(27.95,28.05]	-0.9183831	-0.9286534	-0.9064921
oxygen + silicate	Pacific	(28.05,28.1]	-0.9128038	-0.9252222	-0.8922026
oxygen + silicate	Pacific	(28.1, Inf]	-0.5861830	-0.6900042	-0.5080757
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	Indian	(-Inf,26]	0.9706168	0.9661240	0.9744310
phosphate + phosphate_star	Indian	(26,26.5]	0.9687477	0.9513934	0.9881141
phosphate + phosphate_star	Indian	(26.5,26.75]	0.8673273	0.8261151	0.9095483
phosphate + phosphate_star	Indian	(26.75,27]	0.4924273	0.3181456	0.6951124
phosphate + phosphate_star	Indian	(27,27.25]	-0.1682758	-0.3262096	-0.0270571
phosphate + phosphate_star	Indian	(27.25,27.5]	-0.5839242	-0.6153684	-0.5586099
phosphate + phosphate_star	Indian	(27.5,27.75]	-0.7161542	-0.7430787	-0.6785981
phosphate + phosphate_star	Indian	(27.75,27.85]	-0.3408627	-0.4790623	-0.1356860
phosphate + phosphate_star	Indian	(27.85,27.95]	0.0073984	-0.0896416	0.0797722
phosphate + phosphate_star	Indian	(27.95,28.05]	0.2372326	0.0387748	0.4497194
phosphate + phosphate_star	Indian	(28.05,28.1]	0.3834013	0.2153538	0.6440536
phosphate + phosphate_star	Indian	(28.1, Inf]	0.1993624	0.0086839	0.4009089
phosphate + phosphate_star	Pacific	(-Inf,26]	0.8473522	0.8111535	0.8981611
phosphate + phosphate_star	Pacific	(26,26.5]	0.7548352	0.7152456	0.8081972
phosphate + phosphate_star	Pacific	(26.5,26.75]	0.5044275	0.3378675	0.6548725
phosphate + phosphate_star	Pacific	(26.75,27]	0.5523933	0.4752880	0.5910527
phosphate + phosphate_star	Pacific	(27,27.25]	0.4156606	0.3837262	0.4455387
phosphate + phosphate_star	Pacific	(27.25,27.5]	-0.1557777	-0.2421863	-0.0382790
phosphate + phosphate_star	Pacific	(27.5,27.75]	-0.0522044	-0.4557231	0.4420444
phosphate + phosphate_star	Pacific	(27.75,27.85]	-0.4972865	-0.5385983	-0.4214904
phosphate + phosphate_star	Pacific	(27.85,27.95]	-0.1679768	-0.2616530	-0.0587875
phosphate + phosphate_star	Pacific	(27.95,28.05]	0.4013484	0.3106174	0.4668266
phosphate + phosphate_star	Pacific	(28.05,28.1]	0.6544224	0.5885018	0.7067640
phosphate + phosphate_star	Pacific	(28.1, Inf]	-0.0030990	-0.0283305	0.0150545
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	Indian	(-Inf,26]	-0.7849931	-0.9770891	-0.5625522
sal + aou	Indian	(26,26.5]	-0.7672307	-0.9753419	-0.5054926
sal + aou	Indian	(26.5,26.75]	-0.4417565	-0.7512329	-0.0926910
sal + aou	Indian	(26.75,27]	0.2683970	-0.0968067	0.5825138
sal + aou	Indian	(27,27.25]	0.8320394	0.8020018	0.8780490
sal + aou	Indian	(27.25,27.5]	0.9233462	0.8247051	0.9759566
sal + aou	Indian	(27.5,27.75]	0.9428515	0.9016311	0.9689181
sal + aou	Indian	(27.75,27.85]	0.9081338	0.8548135	0.9547742
sal + aou	Indian	(27.85,27.95]	0.8009624	0.6909369	0.8796214
sal + aou	Indian	(27.95,28.05]	0.6471750	0.5168217	0.7870960
sal + aou	Indian	(28.05,28.1]	0.4373482	0.0360492	0.7164454
sal + aou	Indian	(28.1, Inf]	0.7435827	0.6336561	0.8613790
sal + aou	Pacific	(-Inf,26]	-0.0682852	-0.1429427	-0.0219704
sal + aou	Pacific	(26,26.5]	0.1015624	-0.1087224	0.2286597
sal + aou	Pacific	(26.5,26.75]	0.2752647	0.0132497	0.4855827
sal + aou	Pacific	(26.75,27]	0.0110675	-0.0794033	0.0981008
sal + aou	Pacific	(27,27.25]	-0.2097931	-0.2384793	-0.1780360
sal + aou	Pacific	(27.25,27.5]	0.0155355	-0.0010904	0.0247044
sal + aou	Pacific	(27.5,27.75]	0.2576684	0.0635769	0.5310809
sal + aou	Pacific	(27.75,27.85]	-0.2391415	-0.4704435	-0.0169910
sal + aou	Pacific	(27.85,27.95]	-0.4515761	-0.7560848	-0.2427288
sal + aou	Pacific	(27.95,28.05]	-0.5796562	-0.7883682	-0.3585143
sal + aou	Pacific	(28.05,28.1]	-0.6898066	-0.8564053	-0.5227975
sal + aou	Pacific	(28.1, Inf]	-0.2533330	-0.5480908	0.0024870
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	Indian	(-Inf,26]	0.7687685	0.5126649	0.9852040
sal + oxygen	Indian	(26,26.5]	0.7300947	0.4435080	0.9636681
sal + oxygen	Indian	(26.5,26.75]	0.3836600	0.0298628	0.6979433
sal + oxygen	Indian	(26.75,27]	-0.3892132	-0.6397773	-0.1104928
sal + oxygen	Indian	(27,27.25]	-0.8798440	-0.9181834	-0.8580326
sal + oxygen	Indian	(27.25,27.5]	-0.9466882	-0.9884127	-0.8684195
sal + oxygen	Indian	(27.5,27.75]	-0.9478249	-0.9686327	-0.9234661
sal + oxygen	Indian	(27.75,27.85]	-0.9223240	-0.9622335	-0.8768389
sal + oxygen	Indian	(27.85,27.95]	-0.8428095	-0.9043676	-0.7503987
sal + oxygen	Indian	(27.95,28.05]	-0.7333521	-0.8502573	-0.6073151
sal + oxygen	Indian	(28.05,28.1]	-0.5404334	-0.8122353	-0.1262247
sal + oxygen	Indian	(28.1, Inf]	-0.8037572	-0.8974302	-0.7286056
sal + oxygen	Pacific	(-Inf,26]	-0.3372877	-0.4004916	-0.2134590
sal + oxygen	Pacific	(26,26.5]	-0.2749888	-0.3701442	-0.0893094
sal + oxygen	Pacific	(26.5,26.75]	-0.4184075	-0.6063954	-0.1875755
sal + oxygen	Pacific	(26.75,27]	-0.2067206	-0.2800447	-0.1117530
sal + oxygen	Pacific	(27,27.25]	0.1031043	0.0659950	0.1396349
sal + oxygen	Pacific	(27.25,27.5]	-0.0926784	-0.1074226	-0.0676817
sal + oxygen	Pacific	(27.5,27.75]	-0.3319021	-0.6110809	-0.1295558
sal + oxygen	Pacific	(27.75,27.85]	0.1944328	-0.0426542	0.4477443
sal + oxygen	Pacific	(27.85,27.95]	0.4245175	0.1982473	0.7567994
sal + oxygen	Pacific	(27.95,28.05]	0.5560564	0.3146765	0.7822660
sal + oxygen	Pacific	(28.05,28.1]	0.6543791	0.4661207	0.8407273
sal + oxygen	Pacific	(28.1, Inf]	0.1660466	-0.0894960	0.4719650
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	Indian	(-Inf,26]	-0.7907643	-0.9654574	-0.5736116
sal + phosphate	Indian	(26,26.5]	-0.7969825	-0.9866185	-0.5338457
sal + phosphate	Indian	(26.5,26.75]	-0.5455657	-0.8759061	-0.1430511
sal + phosphate	Indian	(26.75,27]	-0.0479518	-0.6209015	0.4630245
sal + phosphate	Indian	(27,27.25]	0.5935648	0.4174420	0.7177951
sal + phosphate	Indian	(27.25,27.5]	0.7958535	0.7088752	0.8507157
sal + phosphate	Indian	(27.5,27.75]	0.8603633	0.8324236	0.8979291
sal + phosphate	Indian	(27.75,27.85]	0.7033362	0.4804058	0.8911158
sal + phosphate	Indian	(27.85,27.95]	0.4793654	0.2238727	0.7253599
sal + phosphate	Indian	(27.95,28.05]	0.1132122	0.0442504	0.1910755
sal + phosphate	Indian	(28.05,28.1]	-0.1371263	-0.2374702	-0.0754313
sal + phosphate	Indian	(28.1, Inf]	-0.0678359	-0.2036580	0.0351837
sal + phosphate	Pacific	(-Inf,26]	-0.2120176	-0.2587359	-0.1850580
sal + phosphate	Pacific	(26,26.5]	-0.1608338	-0.3633912	0.0050762
sal + phosphate	Pacific	(26.5,26.75]	-0.0157377	-0.2869815	0.2096865
sal + phosphate	Pacific	(26.75,27]	-0.3063260	-0.4020901	-0.1891838
sal + phosphate	Pacific	(27,27.25]	-0.3303661	-0.3754087	-0.2860761
sal + phosphate	Pacific	(27.25,27.5]	0.0147054	-0.0267405	0.0578405
sal + phosphate	Pacific	(27.5,27.75]	0.3718927	0.0645961	0.7082879
sal + phosphate	Pacific	(27.75,27.85]	-0.2187963	-0.4096014	-0.0368831
sal + phosphate	Pacific	(27.85,27.95]	-0.4621007	-0.7224520	-0.2980771
sal + phosphate	Pacific	(27.95,28.05]	-0.6433620	-0.8206319	-0.4730398
sal + phosphate	Pacific	(28.05,28.1]	-0.7604456	-0.8938438	-0.6324747
sal + phosphate	Pacific	(28.1, Inf]	-0.5093001	-0.7344088	-0.3492967
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	Indian	(-Inf,26]	-0.7803992	-0.8900318	-0.6278796
sal + phosphate_star	Indian	(26,26.5]	-0.8650723	-0.9905708	-0.6572753
sal + phosphate_star	Indian	(26.5,26.75]	-0.7708963	-0.9916187	-0.4179911
sal + phosphate_star	Indian	(26.75,27]	-0.7811547	-0.9760112	-0.5140480
sal + phosphate_star	Indian	(27,27.25]	-0.8302618	-0.9058682	-0.7501761
sal + phosphate_star	Indian	(27.25,27.5]	-0.9013051	-0.9281982	-0.8835888
sal + phosphate_star	Indian	(27.5,27.75]	-0.8968733	-0.9117613	-0.8702410
sal + phosphate_star	Indian	(27.75,27.85]	-0.8200922	-0.8756481	-0.7501903
sal + phosphate_star	Indian	(27.85,27.95]	-0.7583972	-0.8653000	-0.5692323
sal + phosphate_star	Indian	(27.95,28.05]	-0.8651659	-0.9633441	-0.7037776
sal + phosphate_star	Indian	(28.05,28.1]	-0.8887799	-0.9779690	-0.7419918
sal + phosphate_star	Indian	(28.1, Inf]	-0.8843981	-0.9027509	-0.8583182
sal + phosphate_star	Pacific	(-Inf,26]	-0.5276172	-0.5656117	-0.5055090
sal + phosphate_star	Pacific	(26,26.5]	-0.6759095	-0.7668836	-0.5552335
sal + phosphate_star	Pacific	(26.5,26.75]	-0.7892848	-0.8397038	-0.7557076
sal + phosphate_star	Pacific	(26.75,27]	-0.8852599	-0.8966793	-0.8684218
sal + phosphate_star	Pacific	(27,27.25]	-0.7943608	-0.8126559	-0.7762754
sal + phosphate_star	Pacific	(27.25,27.5]	-0.3193559	-0.3887387	-0.1979697
sal + phosphate_star	Pacific	(27.5,27.75]	0.2146381	-0.2521107	0.6389938
sal + phosphate_star	Pacific	(27.75,27.85]	0.0594202	-0.2581622	0.4670544
sal + phosphate_star	Pacific	(27.85,27.95]	-0.0310577	-0.2899368	0.3335897
sal + phosphate_star	Pacific	(27.95,28.05]	-0.4975201	-0.5489131	-0.4689813
sal + phosphate_star	Pacific	(28.05,28.1]	-0.6645967	-0.6987449	-0.6355234
sal + phosphate_star	Pacific	(28.1, Inf]	-0.4995952	-0.5469968	-0.4248354
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	Indian	(-Inf,26]	-0.8976919	-0.9541684	-0.8522981
sal + silicate	Indian	(26,26.5]	-0.8619158	-0.9796211	-0.7251017
sal + silicate	Indian	(26.5,26.75]	-0.5635909	-0.8015748	-0.3403826
sal + silicate	Indian	(26.75,27]	0.1807952	-0.1378319	0.4231942
sal + silicate	Indian	(27,27.25]	0.6461883	0.5629204	0.7419294
sal + silicate	Indian	(27.25,27.5]	0.7149859	0.4847834	0.8543879
sal + silicate	Indian	(27.5,27.75]	0.7671860	0.5521603	0.8920284
sal + silicate	Indian	(27.75,27.85]	0.8070418	0.7828598	0.8226513
sal + silicate	Indian	(27.85,27.95]	0.6357982	0.5480635	0.7458318
sal + silicate	Indian	(27.95,28.05]	0.3421857	0.2569727	0.4531503
sal + silicate	Indian	(28.05,28.1]	0.1566753	-0.1016312	0.3710048
sal + silicate	Indian	(28.1, Inf]	0.0928035	-0.1130976	0.2908566
sal + silicate	Pacific	(-Inf,26]	-0.6283091	-0.6418751	-0.6137580
sal + silicate	Pacific	(26,26.5]	-0.5826500	-0.6438012	-0.5158749
sal + silicate	Pacific	(26.5,26.75]	-0.6387286	-0.7102587	-0.5629090
sal + silicate	Pacific	(26.75,27]	-0.7196910	-0.7625491	-0.6792035
sal + silicate	Pacific	(27,27.25]	-0.5717036	-0.6063127	-0.5543773
sal + silicate	Pacific	(27.25,27.5]	-0.2615597	-0.2862316	-0.2282606
sal + silicate	Pacific	(27.5,27.75]	0.1371780	-0.0909406	0.4128752
sal + silicate	Pacific	(27.75,27.85]	-0.2544524	-0.4176071	-0.0980058
sal + silicate	Pacific	(27.85,27.95]	-0.4197028	-0.6591307	-0.2713620
sal + silicate	Pacific	(27.95,28.05]	-0.5355861	-0.7053795	-0.3786044
sal + silicate	Pacific	(28.05,28.1]	-0.6781070	-0.7935953	-0.5694154
sal + silicate	Pacific	(28.1, Inf]	-0.4931587	-0.7494149	-0.2645133
sal + temp	Atlantic	(-Inf,26]	0.9271315	0.8591490	0.9792505
sal + temp	Atlantic	(26,26.5]	0.9587716	0.9434088	0.9722042
sal + temp	Atlantic	(26.5,26.75]	0.9862819	0.9802495	0.9901757
sal + temp	Atlantic	(26.75,27]	0.9787162	0.9745610	0.9840770
sal + temp	Atlantic	(27,27.25]	0.9796781	0.9784187	0.9817817
sal + temp	Atlantic	(27.25,27.5]	0.9752146	0.9731639	0.9763128
sal + temp	Atlantic	(27.5,27.75]	0.9694593	0.9644988	0.9727017
sal + temp	Atlantic	(27.75,27.85]	0.9802898	0.9794452	0.9810268
sal + temp	Atlantic	(27.85,27.95]	0.9451842	0.9415125	0.9493241
sal + temp	Atlantic	(27.95,28.05]	0.8954079	0.8625851	0.9232805
sal + temp	Atlantic	(28.05,28.1]	0.9614505	0.9531302	0.9685525
sal + temp	Atlantic	(28.1,28.15]	0.9588322	0.9515702	0.9661370
sal + temp	Atlantic	(28.15,28.2]	0.8958025	0.8895198	0.9022843
sal + temp	Atlantic	(28.2, Inf]	0.2952889	0.1404009	0.6019678
sal + temp	Indian	(-Inf,26]	0.5109723	0.4509684	0.5632957
sal + temp	Indian	(26,26.5]	0.8888478	0.8556400	0.9224295
sal + temp	Indian	(26.5,26.75]	0.9326572	0.9178808	0.9435581
sal + temp	Indian	(26.75,27]	0.9670548	0.9534206	0.9797263
sal + temp	Indian	(27,27.25]	0.9344558	0.9084287	0.9579882
sal + temp	Indian	(27.25,27.5]	0.9319733	0.9129899	0.9593339
sal + temp	Indian	(27.5,27.75]	0.8621223	0.7841634	0.9333729
sal + temp	Indian	(27.75,27.85]	0.9089392	0.8624499	0.9479937
sal + temp	Indian	(27.85,27.95]	0.8837857	0.8289541	0.9146436
sal + temp	Indian	(27.95,28.05]	0.9374097	0.9122878	0.9509351
sal + temp	Indian	(28.05,28.1]	0.9505269	0.9065572	0.9754324
sal + temp	Indian	(28.1, Inf]	0.8993707	0.8748272	0.9157838
sal + temp	Pacific	(-Inf,26]	0.7915178	0.7518793	0.8697686
sal + temp	Pacific	(26,26.5]	0.9142261	0.8753748	0.9391747
sal + temp	Pacific	(26.5,26.75]	0.9722770	0.9657231	0.9759096
sal + temp	Pacific	(26.75,27]	0.9716457	0.9675557	0.9770388
sal + temp	Pacific	(27,27.25]	0.9378869	0.9319098	0.9467573
sal + temp	Pacific	(27.25,27.5]	0.8144805	0.7978727	0.8286285
sal + temp	Pacific	(27.5,27.75]	0.7644840	0.6642438	0.8830491
sal + temp	Pacific	(27.75,27.85]	0.7276237	0.5995165	0.8173383
sal + temp	Pacific	(27.85,27.95]	0.5274096	0.2993096	0.6623971
sal + temp	Pacific	(27.95,28.05]	0.3844906	0.2399751	0.5385853
sal + temp	Pacific	(28.05,28.1]	0.3283953	0.2316932	0.4485060
sal + temp	Pacific	(28.1, Inf]	0.1267248	-0.1379961	0.3178588
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	Indian	(-Inf,26]	0.9407484	0.8668331	0.9913476
silicate + phosphate	Indian	(26,26.5]	0.9602046	0.9217497	0.9957615
silicate + phosphate	Indian	(26.5,26.75]	0.9660208	0.9427129	0.9861938
silicate + phosphate	Indian	(26.75,27]	0.9107391	0.8306495	0.9512155
silicate + phosphate	Indian	(27,27.25]	0.9419884	0.9202311	0.9554095
silicate + phosphate	Indian	(27.25,27.5]	0.9354039	0.8792945	0.9784673
silicate + phosphate	Indian	(27.5,27.75]	0.8876997	0.7925208	0.9575325
silicate + phosphate	Indian	(27.75,27.85]	0.8828554	0.8710730	0.8956329
silicate + phosphate	Indian	(27.85,27.95]	0.8836026	0.8399737	0.9058098
silicate + phosphate	Indian	(27.95,28.05]	0.8935665	0.8313922	0.9362999
silicate + phosphate	Indian	(28.05,28.1]	0.9095506	0.8470389	0.9593665
silicate + phosphate	Indian	(28.1, Inf]	0.7640333	0.7520650	0.7786718
silicate + phosphate	Pacific	(-Inf,26]	0.7030170	0.6166959	0.8034871
silicate + phosphate	Pacific	(26,26.5]	0.6678587	0.6351829	0.7195552
silicate + phosphate	Pacific	(26.5,26.75]	0.5749416	0.4804638	0.6886101
silicate + phosphate	Pacific	(26.75,27]	0.7617480	0.7328126	0.8027477
silicate + phosphate	Pacific	(27,27.25]	0.8993278	0.8808533	0.9267527
silicate + phosphate	Pacific	(27.25,27.5]	0.8744150	0.8471344	0.9109604
silicate + phosphate	Pacific	(27.5,27.75]	0.8603439	0.8548265	0.8679945
silicate + phosphate	Pacific	(27.75,27.85]	0.9427075	0.9327170	0.9492117
silicate + phosphate	Pacific	(27.85,27.95]	0.9575458	0.9504956	0.9621633
silicate + phosphate	Pacific	(27.95,28.05]	0.9458308	0.9371193	0.9508684
silicate + phosphate	Pacific	(28.05,28.1]	0.9349031	0.9264518	0.9456233
silicate + phosphate	Pacific	(28.1, Inf]	0.7923549	0.7236344	0.8603990
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	Indian	(-Inf,26]	0.9421504	0.9017623	0.9795843
silicate + phosphate_star	Indian	(26,26.5]	0.9454684	0.9165186	0.9774230
silicate + phosphate_star	Indian	(26.5,26.75]	0.8113101	0.7396864	0.9106276
silicate + phosphate_star	Indian	(26.75,27]	0.2190798	0.2175160	0.2220433
silicate + phosphate_star	Indian	(27,27.25]	-0.3029505	-0.3164145	-0.2961227
silicate + phosphate_star	Indian	(27.25,27.5]	-0.5611060	-0.6308589	-0.4893130
silicate + phosphate_star	Indian	(27.5,27.75]	-0.6682257	-0.7401163	-0.5645375
silicate + phosphate_star	Indian	(27.75,27.85]	-0.5096131	-0.5521596	-0.4824093
silicate + phosphate_star	Indian	(27.85,27.95]	-0.1393586	-0.1913722	-0.0657524
silicate + phosphate_star	Indian	(27.95,28.05]	0.0314731	-0.2683505	0.3233483
silicate + phosphate_star	Indian	(28.05,28.1]	0.0868414	-0.2341288	0.5062626
silicate + phosphate_star	Indian	(28.1, Inf]	0.0512979	-0.2299133	0.2227347
silicate + phosphate_star	Pacific	(-Inf,26]	0.7471757	0.6783014	0.8429565
silicate + phosphate_star	Pacific	(26,26.5]	0.7524157	0.7336133	0.7633795
silicate + phosphate_star	Pacific	(26.5,26.75]	0.7181816	0.6587955	0.7620528
silicate + phosphate_star	Pacific	(26.75,27]	0.7289779	0.6987074	0.7861500
silicate + phosphate_star	Pacific	(27,27.25]	0.4618043	0.4072752	0.5164452
silicate + phosphate_star	Pacific	(27.25,27.5]	-0.2463298	-0.3070043	-0.1811354
silicate + phosphate_star	Pacific	(27.5,27.75]	-0.2906576	-0.5539368	0.1013278
silicate + phosphate_star	Pacific	(27.75,27.85]	-0.6224801	-0.6711630	-0.5579210
silicate + phosphate_star	Pacific	(27.85,27.95]	-0.2202396	-0.3016107	-0.0919548
silicate + phosphate_star	Pacific	(27.95,28.05]	0.3734328	0.2381209	0.4846419
silicate + phosphate_star	Pacific	(28.05,28.1]	0.5600254	0.4035253	0.6455232
silicate + phosphate_star	Pacific	(28.1, Inf]	0.1652016	0.0504748	0.2666380
temp + aou	Atlantic	(-Inf,26]	-0.0885021	-0.3425090	0.3065192
temp + aou	Atlantic	(26,26.5]	-0.2035118	-0.3701995	-0.0092747
temp + aou	Atlantic	(26.5,26.75]	-0.3313889	-0.4894569	-0.1986178
temp + aou	Atlantic	(26.75,27]	-0.1899610	-0.2159809	-0.1663616
temp + aou	Atlantic	(27,27.25]	-0.2569778	-0.4106699	-0.1379596
temp + aou	Atlantic	(27.25,27.5]	-0.2054094	-0.3148319	-0.1479325
temp + aou	Atlantic	(27.5,27.75]	-0.4125425	-0.4546473	-0.3335869
temp + aou	Atlantic	(27.75,27.85]	-0.4496069	-0.5296931	-0.3672680
temp + aou	Atlantic	(27.85,27.95]	-0.3182619	-0.4327088	-0.1892903
temp + aou	Atlantic	(27.95,28.05]	-0.5366323	-0.6807520	-0.4118457
temp + aou	Atlantic	(28.05,28.1]	-0.6406127	-0.7861695	-0.5309631
temp + aou	Atlantic	(28.1,28.15]	-0.7068061	-0.7202554	-0.6956956
temp + aou	Atlantic	(28.15,28.2]	-0.7654934	-0.8046305	-0.7143601
temp + aou	Atlantic	(28.2, Inf]	0.3847255	0.2955435	0.4647025
temp + aou	Indian	(-Inf,26]	-0.5724975	-0.6362262	-0.5172917
temp + aou	Indian	(26,26.5]	-0.6435167	-0.8676387	-0.4571945
temp + aou	Indian	(26.5,26.75]	-0.3007302	-0.4904839	-0.0877729
temp + aou	Indian	(26.75,27]	0.1631202	-0.1482107	0.4863121
temp + aou	Indian	(27,27.25]	0.6726867	0.5541481	0.7594625
temp + aou	Indian	(27.25,27.5]	0.8315781	0.8208379	0.8411088
temp + aou	Indian	(27.5,27.75]	0.8641363	0.8384355	0.8780449
temp + aou	Indian	(27.75,27.85]	0.8838193	0.8225347	0.9319405
temp + aou	Indian	(27.85,27.95]	0.7937872	0.7438784	0.8215379
temp + aou	Indian	(27.95,28.05]	0.7070518	0.5589216	0.8565073
temp + aou	Indian	(28.05,28.1]	0.5918480	0.3034753	0.7934618
temp + aou	Indian	(28.1, Inf]	0.8647235	0.8100896	0.8928619
temp + aou	Pacific	(-Inf,26]	-0.2705983	-0.4201379	-0.1854532
temp + aou	Pacific	(26,26.5]	-0.0344920	-0.2133094	0.0757126
temp + aou	Pacific	(26.5,26.75]	0.2531014	0.0123290	0.4395086
temp + aou	Pacific	(26.75,27]	0.0021474	-0.0752648	0.0876474
temp + aou	Pacific	(27,27.25]	-0.2787360	-0.2805163	-0.2765222
temp + aou	Pacific	(27.25,27.5]	-0.0432548	-0.0892837	-0.0057967
temp + aou	Pacific	(27.5,27.75]	0.3161735	0.1818506	0.5432895
temp + aou	Pacific	(27.75,27.85]	-0.0296777	-0.2780532	0.1995338
temp + aou	Pacific	(27.85,27.95]	-0.1137457	-0.4181318	0.1024942
temp + aou	Pacific	(27.95,28.05]	-0.0165861	-0.1613505	0.1335795
temp + aou	Pacific	(28.05,28.1]	0.1326178	-0.0808647	0.2971624
temp + aou	Pacific	(28.1, Inf]	0.8094528	0.7840611	0.8289100
temp + oxygen	Atlantic	(-Inf,26]	-0.2548418	-0.5686817	-0.0421108
temp + oxygen	Atlantic	(26,26.5]	-0.1931788	-0.4139034	0.0218196
temp + oxygen	Atlantic	(26.5,26.75]	0.0765118	-0.0401069	0.2796851
temp + oxygen	Atlantic	(26.75,27]	-0.0148470	-0.0781579	0.0472757
temp + oxygen	Atlantic	(27,27.25]	0.0351877	-0.0600288	0.2142155
temp + oxygen	Atlantic	(27.25,27.5]	-0.1269840	-0.2422283	0.0181253
temp + oxygen	Atlantic	(27.5,27.75]	0.0416854	-0.0958677	0.1389858
temp + oxygen	Atlantic	(27.75,27.85]	0.2172814	0.1307902	0.3338386
temp + oxygen	Atlantic	(27.85,27.95]	0.1693522	0.0267745	0.3102718
temp + oxygen	Atlantic	(27.95,28.05]	0.4049696	0.2796369	0.5839105
temp + oxygen	Atlantic	(28.05,28.1]	0.5224539	0.3589112	0.7181812
temp + oxygen	Atlantic	(28.1,28.15]	0.6227568	0.6020861	0.6479990
temp + oxygen	Atlantic	(28.15,28.2]	0.7241028	0.6661021	0.7715737
temp + oxygen	Atlantic	(28.2, Inf]	-0.5379540	-0.6459579	-0.4424985
temp + oxygen	Indian	(-Inf,26]	0.4704876	0.4126654	0.5182026
temp + oxygen	Indian	(26,26.5]	0.5873784	0.3846857	0.8343641
temp + oxygen	Indian	(26.5,26.75]	0.2328540	0.0214647	0.4188916
temp + oxygen	Indian	(26.75,27]	-0.2903205	-0.5524642	-0.0623382
temp + oxygen	Indian	(27,27.25]	-0.7449687	-0.8142258	-0.6499594
temp + oxygen	Indian	(27.25,27.5]	-0.8798612	-0.8862882	-0.8740462
temp + oxygen	Indian	(27.5,27.75]	-0.9050321	-0.9178551	-0.8839129
temp + oxygen	Indian	(27.75,27.85]	-0.9169105	-0.9531444	-0.8694024
temp + oxygen	Indian	(27.85,27.95]	-0.8599059	-0.8790939	-0.8309945
temp + oxygen	Indian	(27.95,28.05]	-0.7953707	-0.9156759	-0.6597505
temp + oxygen	Indian	(28.05,28.1]	-0.6856977	-0.8765577	-0.3920185
temp + oxygen	Indian	(28.1, Inf]	-0.9228165	-0.9457984	-0.8865810
temp + oxygen	Pacific	(-Inf,26]	-0.2188984	-0.3324479	-0.0122549
temp + oxygen	Pacific	(26,26.5]	-0.1558588	-0.2713921	0.0031005
temp + oxygen	Pacific	(26.5,26.75]	-0.4028050	-0.5704507	-0.1913280
temp + oxygen	Pacific	(26.75,27]	-0.2036274	-0.2759748	-0.1215743
temp + oxygen	Pacific	(27,27.25]	0.1673865	0.1596116	0.1750139
temp + oxygen	Pacific	(27.25,27.5]	-0.0500062	-0.0961916	0.0047953
temp + oxygen	Pacific	(27.5,27.75]	-0.4129444	-0.6374339	-0.2770516
temp + oxygen	Pacific	(27.75,27.85]	-0.0302497	-0.2687799	0.2342199
temp + oxygen	Pacific	(27.85,27.95]	0.0612025	-0.1655958	0.3836492
temp + oxygen	Pacific	(27.95,28.05]	-0.0469267	-0.2086471	0.1050046
temp + oxygen	Pacific	(28.05,28.1]	-0.1803655	-0.3619407	0.0495648
temp + oxygen	Pacific	(28.1, Inf]	-0.8700586	-0.8769357	-0.8579476
temp + phosphate	Atlantic	(-Inf,26]	-0.4658670	-0.6413374	-0.3252160
temp + phosphate	Atlantic	(26,26.5]	-0.7181149	-0.7824767	-0.6186692
temp + phosphate	Atlantic	(26.5,26.75]	-0.7285627	-0.7811880	-0.6330724
temp + phosphate	Atlantic	(26.75,27]	-0.6484548	-0.6944657	-0.6160706
temp + phosphate	Atlantic	(27,27.25]	-0.7245427	-0.7813908	-0.6359645
temp + phosphate	Atlantic	(27.25,27.5]	-0.7921891	-0.8153446	-0.7481500
temp + phosphate	Atlantic	(27.5,27.75]	-0.7774998	-0.8024027	-0.7552184
temp + phosphate	Atlantic	(27.75,27.85]	-0.6988536	-0.7195554	-0.6634561
temp + phosphate	Atlantic	(27.85,27.95]	-0.5446900	-0.6052054	-0.4463972
temp + phosphate	Atlantic	(27.95,28.05]	-0.6722003	-0.7378796	-0.5715144
temp + phosphate	Atlantic	(28.05,28.1]	-0.7614431	-0.8301090	-0.7199937
temp + phosphate	Atlantic	(28.1,28.15]	-0.7873900	-0.7954886	-0.7814111
temp + phosphate	Atlantic	(28.15,28.2]	-0.7678198	-0.7838248	-0.7574032
temp + phosphate	Atlantic	(28.2, Inf]	0.0110673	-0.1214116	0.0788866
temp + phosphate	Indian	(-Inf,26]	-0.6062183	-0.7063994	-0.5006773
temp + phosphate	Indian	(26,26.5]	-0.6933077	-0.8995190	-0.5001365
temp + phosphate	Indian	(26.5,26.75]	-0.4307795	-0.6642845	-0.1536080
temp + phosphate	Indian	(26.75,27]	-0.1645597	-0.6650335	0.3281989
temp + phosphate	Indian	(27,27.25]	0.3664409	0.0903367	0.6105575
temp + phosphate	Indian	(27.25,27.5]	0.6225818	0.5724610	0.6660073
temp + phosphate	Indian	(27.5,27.75]	0.7510893	0.6736746	0.8017707
temp + phosphate	Indian	(27.75,27.85]	0.6700385	0.4619446	0.8412685
temp + phosphate	Indian	(27.85,27.95]	0.4639906	0.3040327	0.6376284
temp + phosphate	Indian	(27.95,28.05]	0.2035280	0.1422146	0.2468098
temp + phosphate	Indian	(28.05,28.1]	0.0512501	0.0455438	0.0565223
temp + phosphate	Indian	(28.1, Inf]	0.0262576	-0.2851203	0.1899085
temp + phosphate	Pacific	(-Inf,26]	-0.4723974	-0.5993231	-0.3555538
temp + phosphate	Pacific	(26,26.5]	-0.3168106	-0.4789006	-0.2240004
temp + phosphate	Pacific	(26.5,26.75]	-0.0525871	-0.3008537	0.1412906
temp + phosphate	Pacific	(26.75,27]	-0.3335519	-0.4169437	-0.2219461
temp + phosphate	Pacific	(27,27.25]	-0.4179107	-0.4371792	-0.4000029
temp + phosphate	Pacific	(27.25,27.5]	-0.0783243	-0.1499618	-0.0011971
temp + phosphate	Pacific	(27.5,27.75]	0.4119406	0.1599296	0.7058032
temp + phosphate	Pacific	(27.75,27.85]	-0.0148656	-0.2082195	0.1625700
temp + phosphate	Pacific	(27.85,27.95]	-0.1152263	-0.3655933	0.0454190
temp + phosphate	Pacific	(27.95,28.05]	-0.0832785	-0.2160073	0.0174455
temp + phosphate	Pacific	(28.05,28.1]	0.0550788	-0.1333893	0.1618334
temp + phosphate	Pacific	(28.1, Inf]	0.5513969	0.4060595	0.6322045
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7212300	-0.8566845	-0.5311396
temp + phosphate_star	Atlantic	(26,26.5]	-0.9278561	-0.9727377	-0.8716933
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9761812	-0.9834695	-0.9669531
temp + phosphate_star	Atlantic	(26.75,27]	-0.9829302	-0.9864498	-0.9800880
temp + phosphate_star	Atlantic	(27,27.25]	-0.9853137	-0.9877796	-0.9822905
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9827207	-0.9845017	-0.9806590
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9361083	-0.9420052	-0.9280738
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.9003554	-0.9053827	-0.8964992
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8263567	-0.8460576	-0.7919875
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8218663	-0.8658285	-0.7692665
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8611122	-0.8785897	-0.8301577
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8605676	-0.8756980	-0.8446351
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.7867646	-0.8099575	-0.7654332
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3044439	-0.5739109	-0.1500982
temp + phosphate_star	Indian	(-Inf,26]	-0.7383295	-0.8485191	-0.5937674
temp + phosphate_star	Indian	(26,26.5]	-0.8249931	-0.9532530	-0.6675056
temp + phosphate_star	Indian	(26.5,26.75]	-0.7525611	-0.9377440	-0.4762530
temp + phosphate_star	Indian	(26.75,27]	-0.8696752	-0.9892455	-0.6996158
temp + phosphate_star	Indian	(27,27.25]	-0.9374232	-0.9846078	-0.8790593
temp + phosphate_star	Indian	(27.25,27.5]	-0.9728188	-0.9909033	-0.9541900
temp + phosphate_star	Indian	(27.5,27.75]	-0.9321096	-0.9381086	-0.9218401
temp + phosphate_star	Indian	(27.75,27.85]	-0.8634642	-0.8850913	-0.8302662
temp + phosphate_star	Indian	(27.85,27.95]	-0.8229347	-0.8965491	-0.6827969
temp + phosphate_star	Indian	(27.95,28.05]	-0.8505570	-0.9559054	-0.6861450
temp + phosphate_star	Indian	(28.05,28.1]	-0.8111381	-0.9556328	-0.5665916
temp + phosphate_star	Indian	(28.1, Inf]	-0.9413747	-0.9792965	-0.8881001
temp + phosphate_star	Pacific	(-Inf,26]	-0.7915815	-0.8484765	-0.7247486
temp + phosphate_star	Pacific	(26,26.5]	-0.8182245	-0.8690029	-0.7784327
temp + phosphate_star	Pacific	(26.5,26.75]	-0.8350762	-0.8723364	-0.7884717
temp + phosphate_star	Pacific	(26.75,27]	-0.9312012	-0.9381793	-0.9265841
temp + phosphate_star	Pacific	(27,27.25]	-0.8910228	-0.9083844	-0.8727879
temp + phosphate_star	Pacific	(27.25,27.5]	-0.4947646	-0.5589801	-0.3690658
temp + phosphate_star	Pacific	(27.5,27.75]	0.0411834	-0.4796669	0.5204862
temp + phosphate_star	Pacific	(27.75,27.85]	-0.1532516	-0.4593582	0.2762659
temp + phosphate_star	Pacific	(27.85,27.95]	-0.2088941	-0.4750058	0.1735082
temp + phosphate_star	Pacific	(27.95,28.05]	-0.5021657	-0.5708881	-0.3731249
temp + phosphate_star	Pacific	(28.05,28.1]	-0.2745437	-0.3652713	-0.1441427
temp + phosphate_star	Pacific	(28.1, Inf]	-0.7458434	-0.8317590	-0.6753897
temp + silicate	Atlantic	(-Inf,26]	-0.6228996	-0.7356764	-0.5464948
temp + silicate	Atlantic	(26,26.5]	-0.6762847	-0.7019768	-0.6633387
temp + silicate	Atlantic	(26.5,26.75]	-0.6402034	-0.7159446	-0.5273097
temp + silicate	Atlantic	(26.75,27]	-0.5470238	-0.5596025	-0.5281561
temp + silicate	Atlantic	(27,27.25]	-0.7015539	-0.7431286	-0.6406674
temp + silicate	Atlantic	(27.25,27.5]	-0.8433622	-0.8551079	-0.8349626
temp + silicate	Atlantic	(27.5,27.75]	-0.8047479	-0.8428197	-0.7630054
temp + silicate	Atlantic	(27.75,27.85]	-0.7374161	-0.7824796	-0.6920160
temp + silicate	Atlantic	(27.85,27.95]	-0.6433780	-0.6994384	-0.5666891
temp + silicate	Atlantic	(27.95,28.05]	-0.7455564	-0.8295364	-0.6559829
temp + silicate	Atlantic	(28.05,28.1]	-0.7824452	-0.8691954	-0.7262274
temp + silicate	Atlantic	(28.1,28.15]	-0.8004715	-0.8207617	-0.7887081
temp + silicate	Atlantic	(28.15,28.2]	-0.7618497	-0.7967451	-0.7211328
temp + silicate	Atlantic	(28.2, Inf]	0.0260593	-0.0594088	0.1074401
temp + silicate	Indian	(-Inf,26]	-0.6746434	-0.7355405	-0.6231649
temp + silicate	Indian	(26,26.5]	-0.7278646	-0.8783613	-0.6467011
temp + silicate	Indian	(26.5,26.75]	-0.4162300	-0.5487634	-0.3213156
temp + silicate	Indian	(26.75,27]	0.0838814	-0.1715802	0.3300283
temp + silicate	Indian	(27,27.25]	0.4505506	0.3629515	0.5174177
temp + silicate	Indian	(27.25,27.5]	0.5441505	0.4341102	0.6167918
temp + silicate	Indian	(27.5,27.75]	0.5858005	0.4566289	0.6743066
temp + silicate	Indian	(27.75,27.85]	0.7070433	0.6852913	0.7448798
temp + silicate	Indian	(27.85,27.95]	0.4911047	0.4091036	0.6011667
temp + silicate	Indian	(27.95,28.05]	0.3355895	0.2616268	0.4511250
temp + silicate	Indian	(28.05,28.1]	0.3200819	0.1732496	0.4602231
temp + silicate	Indian	(28.1, Inf]	0.1016837	-0.0508583	0.3512091
temp + silicate	Pacific	(-Inf,26]	-0.6816631	-0.7566765	-0.6307894
temp + silicate	Pacific	(26,26.5]	-0.6631310	-0.6963171	-0.6349660
temp + silicate	Pacific	(26.5,26.75]	-0.6515567	-0.7140970	-0.5836805
temp + silicate	Pacific	(26.75,27]	-0.7146220	-0.7635535	-0.6720040
temp + silicate	Pacific	(27,27.25]	-0.6204604	-0.6458024	-0.5829001
temp + silicate	Pacific	(27.25,27.5]	-0.3721121	-0.3908656	-0.3623289
temp + silicate	Pacific	(27.5,27.75]	0.0562008	-0.1555295	0.3290225
temp + silicate	Pacific	(27.75,27.85]	-0.1482401	-0.3566559	0.0349319
temp + silicate	Pacific	(27.85,27.95]	-0.2444096	-0.5345256	-0.0639597
temp + silicate	Pacific	(27.95,28.05]	-0.2228185	-0.3970513	-0.0887714
temp + silicate	Pacific	(28.05,28.1]	0.0602006	-0.1167893	0.1693289
temp + silicate	Pacific	(28.1, Inf]	0.2532131	0.1733912	0.3543995

rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

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

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

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

Version	Author	Date
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3902430	0.1597008	0.5067868
aou	Atlantic	(26,26.5]	-0.1282057	-0.4205475	0.1238295
aou	Atlantic	(26.5,26.75]	-0.3879488	-0.4150110	-0.3653048
aou	Atlantic	(26.75,27]	-0.2637653	-0.3288150	-0.1550364
aou	Atlantic	(27,27.25]	-0.4725793	-0.5465086	-0.3974250
aou	Atlantic	(27.25,27.5]	-0.4659615	-0.5007592	-0.4099920
aou	Atlantic	(27.5,27.75]	-0.7766649	-0.8247977	-0.7440616
aou	Atlantic	(27.75,27.85]	-0.9038535	-0.9411111	-0.8759095
aou	Atlantic	(27.85,27.95]	-0.9214963	-0.9462524	-0.9029839
aou	Atlantic	(27.95,28.05]	-0.8764584	-0.8856668	-0.8606226
aou	Atlantic	(28.05,28.1]	-0.8394543	-0.8428430	-0.8342403
aou	Atlantic	(28.1,28.15]	-0.8831749	-0.8913670	-0.8702206
aou	Atlantic	(28.15,28.2]	-0.9359510	-0.9631477	-0.9135788
aou	Atlantic	(28.2, Inf]	-0.1218721	-0.3071852	-0.0013943
aou	Indian	(-Inf,26]	-0.7356659	-0.9261659	-0.6367699
aou	Indian	(26,26.5]	-0.9481682	-0.9923405	-0.9226127
aou	Indian	(26.5,26.75]	-0.9086193	-0.9325981	-0.8731001
aou	Indian	(26.75,27]	-0.5725042	-0.6571961	-0.4998057
aou	Indian	(27,27.25]	-0.0646889	-0.1794799	0.0236209
aou	Indian	(27.25,27.5]	0.5410726	0.3686837	0.7513714
aou	Indian	(27.5,27.75]	0.5526984	0.2501540	0.8106104
aou	Indian	(27.75,27.85]	0.2534446	-0.1104058	0.5572948
aou	Indian	(27.85,27.95]	0.0899834	-0.1539696	0.2533251
aou	Indian	(27.95,28.05]	0.1243591	-0.1750057	0.4099176
aou	Indian	(28.05,28.1]	0.2362685	0.0469774	0.4725615
aou	Indian	(28.1, Inf]	0.3328004	0.1617742	0.5668870
aou	Pacific	(-Inf,26]	-0.0017547	-0.0281099	0.0393637
aou	Pacific	(26,26.5]	-0.6066246	-0.7423555	-0.4119457
aou	Pacific	(26.5,26.75]	-0.5607498	-0.6736627	-0.4063659
aou	Pacific	(26.75,27]	-0.5638784	-0.7574905	-0.3833871
aou	Pacific	(27,27.25]	0.0592708	-0.0112388	0.1168815
aou	Pacific	(27.25,27.5]	0.5854562	0.5509684	0.6500813
aou	Pacific	(27.5,27.75]	0.7264556	0.6752769	0.7763441
aou	Pacific	(27.75,27.85]	0.7986583	0.7529438	0.8244660
aou	Pacific	(27.85,27.95]	0.7571706	0.6898003	0.7922639
aou	Pacific	(27.95,28.05]	0.5453330	0.4495446	0.6121287
aou	Pacific	(28.05,28.1]	0.2570753	0.2261714	0.3105407
aou	Pacific	(28.1, Inf]	0.3113311	0.1658275	0.5249963
oxygen	Atlantic	(-Inf,26]	-0.3929914	-0.5004191	-0.1915009
oxygen	Atlantic	(26,26.5]	-0.1494727	-0.4628879	0.2567238
oxygen	Atlantic	(26.5,26.75]	0.1673516	0.0934483	0.2044135
oxygen	Atlantic	(26.75,27]	0.0811662	-0.0183206	0.1772353
oxygen	Atlantic	(27,27.25]	0.2750052	0.2166291	0.3779246
oxygen	Atlantic	(27.25,27.5]	0.1560529	0.0276526	0.2324485
oxygen	Atlantic	(27.5,27.75]	0.5036726	0.4089943	0.6162694
oxygen	Atlantic	(27.75,27.85]	0.7995138	0.7604588	0.8760271
oxygen	Atlantic	(27.85,27.95]	0.8887827	0.8584939	0.9321115
oxygen	Atlantic	(27.95,28.05]	0.8576882	0.8140159	0.8884417
oxygen	Atlantic	(28.05,28.1]	0.8198709	0.7837074	0.8518189
oxygen	Atlantic	(28.1,28.15]	0.8765551	0.8555362	0.8979109
oxygen	Atlantic	(28.15,28.2]	0.9404167	0.9242003	0.9554984
oxygen	Atlantic	(28.2, Inf]	-0.0605756	-0.1662463	0.0720252
oxygen	Indian	(-Inf,26]	0.7770746	0.6776160	0.9610317
oxygen	Indian	(26,26.5]	0.9457571	0.9218174	0.9911360
oxygen	Indian	(26.5,26.75]	0.8890243	0.8540400	0.9080197
oxygen	Indian	(26.75,27]	0.4721548	0.3163147	0.6156032
oxygen	Indian	(27,27.25]	-0.0138599	-0.1022965	0.1356275
oxygen	Indian	(27.25,27.5]	-0.5665322	-0.7874342	-0.3807468
oxygen	Indian	(27.5,27.75]	-0.5295198	-0.7937965	-0.2205022
oxygen	Indian	(27.75,27.85]	-0.2530789	-0.5668224	0.1158579
oxygen	Indian	(27.85,27.95]	-0.1129395	-0.2812217	0.1474661
oxygen	Indian	(27.95,28.05]	-0.1827612	-0.4706108	0.1369812
oxygen	Indian	(28.05,28.1]	-0.2863413	-0.5395150	-0.0662734
oxygen	Indian	(28.1, Inf]	-0.3786177	-0.6238364	-0.2083500
oxygen	Pacific	(-Inf,26]	0.1315057	0.0930867	0.1984330
oxygen	Pacific	(26,26.5]	0.5248258	0.3383339	0.6713701
oxygen	Pacific	(26.5,26.75]	0.4804693	0.3388804	0.6009192
oxygen	Pacific	(26.75,27]	0.4852723	0.3038835	0.6980642
oxygen	Pacific	(27,27.25]	-0.0274256	-0.1010783	0.0614669
oxygen	Pacific	(27.25,27.5]	-0.5378156	-0.6115155	-0.4965862
oxygen	Pacific	(27.5,27.75]	-0.6851022	-0.7430760	-0.6277594
oxygen	Pacific	(27.75,27.85]	-0.7775122	-0.8032401	-0.7285709
oxygen	Pacific	(27.85,27.95]	-0.7422484	-0.7771667	-0.6742130
oxygen	Pacific	(27.95,28.05]	-0.5372504	-0.6038260	-0.4445164
oxygen	Pacific	(28.05,28.1]	-0.2612206	-0.3132948	-0.2291950
oxygen	Pacific	(28.1, Inf]	-0.3180426	-0.5379671	-0.1837972
phosphate	Atlantic	(-Inf,26]	-0.1225353	-0.3310830	0.0466125
phosphate	Atlantic	(26,26.5]	-0.6449061	-0.6667250	-0.6257437
phosphate	Atlantic	(26.5,26.75]	-0.7440599	-0.7875598	-0.6752387
phosphate	Atlantic	(26.75,27]	-0.6896948	-0.7761004	-0.5921422
phosphate	Atlantic	(27,27.25]	-0.8600208	-0.9034896	-0.8156052
phosphate	Atlantic	(27.25,27.5]	-0.9352639	-0.9546579	-0.9165906
phosphate	Atlantic	(27.5,27.75]	-0.9825875	-0.9867532	-0.9771145
phosphate	Atlantic	(27.75,27.85]	-0.9700098	-0.9736130	-0.9639729
phosphate	Atlantic	(27.85,27.95]	-0.9429953	-0.9461061	-0.9403502
phosphate	Atlantic	(27.95,28.05]	-0.9094201	-0.9220609	-0.8914845
phosphate	Atlantic	(28.05,28.1]	-0.8859308	-0.9016843	-0.8644672
phosphate	Atlantic	(28.1,28.15]	-0.9134496	-0.9330107	-0.9012448
phosphate	Atlantic	(28.15,28.2]	-0.9614819	-0.9847679	-0.9436914
phosphate	Atlantic	(28.2, Inf]	-0.7709099	-0.8142512	-0.7136048
phosphate	Indian	(-Inf,26]	-0.7375672	-0.8980704	-0.6340119
phosphate	Indian	(26,26.5]	-0.9528554	-0.9908326	-0.9261670
phosphate	Indian	(26.5,26.75]	-0.9512391	-0.9831505	-0.9277001
phosphate	Indian	(26.75,27]	-0.8124827	-0.8846362	-0.7734087
phosphate	Indian	(27,27.25]	-0.3936189	-0.4988200	-0.3055553
phosphate	Indian	(27.25,27.5]	0.3344336	0.1917655	0.5192093
phosphate	Indian	(27.5,27.75]	0.4197498	0.0905370	0.6906211
phosphate	Indian	(27.75,27.85]	0.0002235	-0.2575060	0.1900323
phosphate	Indian	(27.85,27.95]	-0.2232463	-0.3556841	-0.1088361
phosphate	Indian	(27.95,28.05]	-0.3293204	-0.4277239	-0.2076277
phosphate	Indian	(28.05,28.1]	-0.2263690	-0.3001208	-0.1392614
phosphate	Indian	(28.1, Inf]	-0.3697946	-0.4527599	-0.3078491
phosphate	Pacific	(-Inf,26]	-0.0523935	-0.1166157	0.0134603
phosphate	Pacific	(26,26.5]	-0.7501262	-0.8561714	-0.5808255
phosphate	Pacific	(26.5,26.75]	-0.7509189	-0.8263411	-0.6251321
phosphate	Pacific	(26.75,27]	-0.7202012	-0.8490873	-0.5561841
phosphate	Pacific	(27,27.25]	0.0004267	-0.0483911	0.0387357
phosphate	Pacific	(27.25,27.5]	0.4976178	0.4466965	0.5809937
phosphate	Pacific	(27.5,27.75]	0.6163230	0.5443091	0.6885200
phosphate	Pacific	(27.75,27.85]	0.7059173	0.6324458	0.7485385
phosphate	Pacific	(27.85,27.95]	0.6688450	0.5737518	0.7168241
phosphate	Pacific	(27.95,28.05]	0.4265855	0.2885586	0.5389595
phosphate	Pacific	(28.05,28.1]	0.1022563	0.0200285	0.2161664
phosphate	Pacific	(28.1, Inf]	0.0948700	-0.0828649	0.3624139
phosphate_star	Atlantic	(-Inf,26]	-0.4157427	-0.5649024	-0.2182171
phosphate_star	Atlantic	(26,26.5]	-0.8104672	-0.8452546	-0.7649341
phosphate_star	Atlantic	(26.5,26.75]	-0.9185976	-0.9606405	-0.8836209
phosphate_star	Atlantic	(26.75,27]	-0.9477686	-0.9610646	-0.9280418
phosphate_star	Atlantic	(27,27.25]	-0.9555667	-0.9600370	-0.9524451
phosphate_star	Atlantic	(27.25,27.5]	-0.9567328	-0.9692455	-0.9458322
phosphate_star	Atlantic	(27.5,27.75]	-0.9365564	-0.9544482	-0.9197128
phosphate_star	Atlantic	(27.75,27.85]	-0.8947934	-0.9175322	-0.8802268
phosphate_star	Atlantic	(27.85,27.95]	-0.8078097	-0.8243522	-0.7893002
phosphate_star	Atlantic	(27.95,28.05]	-0.8401443	-0.8566161	-0.8166432
phosphate_star	Atlantic	(28.05,28.1]	-0.8614365	-0.8892923	-0.8428676
phosphate_star	Atlantic	(28.1,28.15]	-0.8958315	-0.9264866	-0.8791632
phosphate_star	Atlantic	(28.15,28.2]	-0.9617560	-0.9810185	-0.9472992
phosphate_star	Atlantic	(28.2, Inf]	-0.8134221	-0.8299025	-0.8028707
phosphate_star	Indian	(-Inf,26]	-0.6515012	-0.7844910	-0.5108387
phosphate_star	Indian	(26,26.5]	-0.9178964	-0.9683347	-0.8573925
phosphate_star	Indian	(26.5,26.75]	-0.9006242	-0.9281108	-0.8652502
phosphate_star	Indian	(26.75,27]	-0.8100202	-0.9157432	-0.6911313
phosphate_star	Indian	(27,27.25]	-0.6831729	-0.8016099	-0.5021601
phosphate_star	Indian	(27.25,27.5]	-0.7065216	-0.8808558	-0.5505521
phosphate_star	Indian	(27.5,27.75]	-0.5723593	-0.7618174	-0.3542873
phosphate_star	Indian	(27.75,27.85]	-0.4785295	-0.7073714	-0.2262864
phosphate_star	Indian	(27.85,27.95]	-0.5341484	-0.5948494	-0.4446212
phosphate_star	Indian	(27.95,28.05]	-0.6713983	-0.7313531	-0.6096105
phosphate_star	Indian	(28.05,28.1]	-0.6649391	-0.7196799	-0.6322393
phosphate_star	Indian	(28.1, Inf]	-0.5957322	-0.7506701	-0.4937330
phosphate_star	Pacific	(-Inf,26]	0.0252186	-0.0748410	0.0811261
phosphate_star	Pacific	(26,26.5]	-0.7388205	-0.8197398	-0.6156609
phosphate_star	Pacific	(26.5,26.75]	-0.6829856	-0.8090225	-0.5437183
phosphate_star	Pacific	(26.75,27]	-0.5703914	-0.7078157	-0.4622084
phosphate_star	Pacific	(27,27.25]	-0.0823462	-0.1820999	0.0287621
phosphate_star	Pacific	(27.25,27.5]	-0.3479037	-0.3772094	-0.3106413
phosphate_star	Pacific	(27.5,27.75]	-0.6466058	-0.6819712	-0.5909173
phosphate_star	Pacific	(27.75,27.85]	-0.7406905	-0.8127819	-0.6788282
phosphate_star	Pacific	(27.85,27.95]	-0.5527072	-0.5786173	-0.5138497
phosphate_star	Pacific	(27.95,28.05]	-0.2688372	-0.4258866	-0.0787941
phosphate_star	Pacific	(28.05,28.1]	-0.3248041	-0.4727252	-0.1531850
phosphate_star	Pacific	(28.1, Inf]	-0.4526526	-0.5139604	-0.3431865
sal	Atlantic	(-Inf,26]	0.2147765	0.1348588	0.3502125
sal	Atlantic	(26,26.5]	0.7331920	0.6010706	0.8264723
sal	Atlantic	(26.5,26.75]	0.8793380	0.8692296	0.8965654
sal	Atlantic	(26.75,27]	0.9190332	0.8967297	0.9333685
sal	Atlantic	(27,27.25]	0.9383276	0.9288653	0.9434525
sal	Atlantic	(27.25,27.5]	0.9289955	0.9035235	0.9512144
sal	Atlantic	(27.5,27.75]	0.8301069	0.8109659	0.8618644
sal	Atlantic	(27.75,27.85]	0.6821460	0.6506123	0.7174167
sal	Atlantic	(27.85,27.95]	0.4574541	0.4217136	0.4845347
sal	Atlantic	(27.95,28.05]	0.5141741	0.3454419	0.6214670
sal	Atlantic	(28.05,28.1]	0.6605432	0.6489930	0.6668097
sal	Atlantic	(28.1,28.15]	0.7535099	0.7131067	0.7958425
sal	Atlantic	(28.15,28.2]	0.8724439	0.8266690	0.9292830
sal	Atlantic	(28.2, Inf]	0.7138644	0.7010611	0.7387237
sal	Indian	(-Inf,26]	0.7613608	0.5688810	0.9723890
sal	Indian	(26,26.5]	0.7858861	0.5805188	0.9748100
sal	Indian	(26.5,26.75]	0.6004958	0.2279179	0.9157710
sal	Indian	(26.75,27]	0.4193411	-0.0665469	0.8610109
sal	Indian	(27,27.25]	0.2938718	-0.0130127	0.5143702
sal	Indian	(27.25,27.5]	0.5651016	0.3303604	0.8093777
sal	Indian	(27.5,27.75]	0.5380780	0.1568014	0.8275583
sal	Indian	(27.75,27.85]	0.3412752	-0.0954283	0.7320151
sal	Indian	(27.85,27.95]	0.3277555	-0.0475617	0.5825276
sal	Indian	(27.95,28.05]	0.4982052	0.2236646	0.7124490
sal	Indian	(28.05,28.1]	0.4859357	0.2782233	0.6785447
sal	Indian	(28.1, Inf]	0.4279187	0.3054240	0.5878048
sal	Pacific	(-Inf,26]	-0.0460984	-0.0798010	-0.0081306
sal	Pacific	(26,26.5]	0.3229886	0.2018683	0.5047143
sal	Pacific	(26.5,26.75]	0.2614180	0.0333037	0.4835607
sal	Pacific	(26.75,27]	0.2745924	0.1122228	0.4326285
sal	Pacific	(27,27.25]	-0.4051662	-0.5244416	-0.3143196
sal	Pacific	(27.25,27.5]	-0.5459010	-0.6181759	-0.5012476
sal	Pacific	(27.5,27.75]	-0.3781447	-0.4533226	-0.3276008
sal	Pacific	(27.75,27.85]	-0.4460468	-0.6160429	-0.2880000
sal	Pacific	(27.85,27.95]	-0.4343352	-0.6440419	-0.2690964
sal	Pacific	(27.95,28.05]	-0.2409642	-0.4058113	-0.0598313
sal	Pacific	(28.05,28.1]	-0.1213281	-0.2672522	-0.0000590
sal	Pacific	(28.1, Inf]	-0.0469465	-0.2285131	0.0843965
silicate	Atlantic	(-Inf,26]	-0.1891700	-0.3998719	-0.0448985
silicate	Atlantic	(26,26.5]	-0.6204788	-0.6894801	-0.5771398
silicate	Atlantic	(26.5,26.75]	-0.6744355	-0.7083233	-0.6185328
silicate	Atlantic	(26.75,27]	-0.5877582	-0.6462842	-0.4997900
silicate	Atlantic	(27,27.25]	-0.8244139	-0.8496196	-0.8116393
silicate	Atlantic	(27.25,27.5]	-0.8954714	-0.9115983	-0.8716174
silicate	Atlantic	(27.5,27.75]	-0.8829989	-0.8908394	-0.8759680
silicate	Atlantic	(27.75,27.85]	-0.8851422	-0.9099525	-0.8594966
silicate	Atlantic	(27.85,27.95]	-0.8687786	-0.8853983	-0.8568378
silicate	Atlantic	(27.95,28.05]	-0.8476207	-0.8722232	-0.8142167
silicate	Atlantic	(28.05,28.1]	-0.8416672	-0.8580037	-0.8135846
silicate	Atlantic	(28.1,28.15]	-0.8911888	-0.9126052	-0.8752921
silicate	Atlantic	(28.15,28.2]	-0.9483717	-0.9726988	-0.9272451
silicate	Atlantic	(28.2, Inf]	-0.6298539	-0.7610945	-0.4938764
silicate	Indian	(-Inf,26]	-0.7221762	-0.8829751	-0.6378784
silicate	Indian	(26,26.5]	-0.9437934	-0.9884638	-0.9204409
silicate	Indian	(26.5,26.75]	-0.9191845	-0.9534379	-0.8814177
silicate	Indian	(26.75,27]	-0.6001250	-0.6810726	-0.5222116
silicate	Indian	(27,27.25]	-0.2156222	-0.2711222	-0.1416084
silicate	Indian	(27.25,27.5]	0.4482651	0.3451049	0.6265295
silicate	Indian	(27.5,27.75]	0.6124096	0.4010092	0.8229974
silicate	Indian	(27.75,27.85]	0.2435298	-0.0573791	0.5347759
silicate	Indian	(27.85,27.95]	0.0107922	-0.2347395	0.1740230
silicate	Indian	(27.95,28.05]	-0.0764624	-0.3117858	0.2016579
silicate	Indian	(28.05,28.1]	0.0204346	-0.1500720	0.2458458
silicate	Indian	(28.1, Inf]	-0.2139758	-0.2915309	-0.1666980
silicate	Pacific	(-Inf,26]	-0.0886509	-0.1402426	-0.0289124
silicate	Pacific	(26,26.5]	-0.6071205	-0.6910902	-0.4680254
silicate	Pacific	(26.5,26.75]	-0.5154939	-0.6242589	-0.4425725
silicate	Pacific	(26.75,27]	-0.4609615	-0.5299139	-0.3635360
silicate	Pacific	(27,27.25]	0.3203489	0.3088462	0.3432483
silicate	Pacific	(27.25,27.5]	0.8012346	0.7707387	0.8216669
silicate	Pacific	(27.5,27.75]	0.8635209	0.8293188	0.8845344
silicate	Pacific	(27.75,27.85]	0.8365077	0.7926175	0.8603762
silicate	Pacific	(27.85,27.95]	0.7545092	0.6815950	0.7917263
silicate	Pacific	(27.95,28.05]	0.5202559	0.4094611	0.6081558
silicate	Pacific	(28.05,28.1]	0.2160773	0.1798885	0.2485433
silicate	Pacific	(28.1, Inf]	0.1455490	-0.0690462	0.3086531
temp	Atlantic	(-Inf,26]	0.0299669	-0.1697860	0.1962489
temp	Atlantic	(26,26.5]	0.6774652	0.5090937	0.7771867
temp	Atlantic	(26.5,26.75]	0.8685958	0.8455647	0.9016566
temp	Atlantic	(26.75,27]	0.9006506	0.8723176	0.9175562
temp	Atlantic	(27,27.25]	0.9118749	0.9008314	0.9207768
temp	Atlantic	(27.25,27.5]	0.9133559	0.8918085	0.9355456
temp	Atlantic	(27.5,27.75]	0.8015431	0.7797528	0.8406293
temp	Atlantic	(27.75,27.85]	0.6774288	0.6548773	0.7190502
temp	Atlantic	(27.85,27.95]	0.4391569	0.3600504	0.5110242
temp	Atlantic	(27.95,28.05]	0.5058151	0.4041197	0.5893981
temp	Atlantic	(28.05,28.1]	0.5612964	0.5495326	0.5796251
temp	Atlantic	(28.1,28.15]	0.6024576	0.5261656	0.6567292
temp	Atlantic	(28.15,28.2]	0.6281535	0.5668585	0.7204818
temp	Atlantic	(28.2, Inf]	0.5736689	0.5555713	0.6031554
temp	Indian	(-Inf,26]	0.0594106	-0.0980372	0.3433448
temp	Indian	(26,26.5]	0.6110401	0.4732247	0.8548956
temp	Indian	(26.5,26.75]	0.4842295	0.2179093	0.7224139
temp	Indian	(26.75,27]	0.5259259	0.1073163	0.8872171
temp	Indian	(27,27.25]	0.5004151	0.1601553	0.7603617
temp	Indian	(27.25,27.5]	0.6153817	0.3743855	0.8649223
temp	Indian	(27.5,27.75]	0.3568809	0.0699612	0.5967897
temp	Indian	(27.75,27.85]	0.2142096	-0.1376717	0.5313358
temp	Indian	(27.85,27.95]	0.1772200	-0.1052874	0.3403998
temp	Indian	(27.95,28.05]	0.3870974	0.1163684	0.6089858
temp	Indian	(28.05,28.1]	0.4178565	0.1564047	0.6701266
temp	Indian	(28.1, Inf]	0.4406564	0.2604877	0.7069863
temp	Pacific	(-Inf,26]	-0.2946306	-0.3701968	-0.2043850
temp	Pacific	(26,26.5]	0.3874490	0.2887802	0.5352590
temp	Pacific	(26.5,26.75]	0.2830488	0.0871719	0.4964063
temp	Pacific	(26.75,27]	0.3233856	0.1710423	0.4764840
temp	Pacific	(27,27.25]	-0.2664016	-0.3904640	-0.1557619
temp	Pacific	(27.25,27.5]	-0.5141381	-0.5764746	-0.4808329
temp	Pacific	(27.5,27.75]	-0.4182021	-0.5368248	-0.3270395
temp	Pacific	(27.75,27.85]	-0.3494524	-0.5831447	-0.1609465
temp	Pacific	(27.85,27.95]	-0.3535389	-0.6172388	-0.1571162
temp	Pacific	(27.95,28.05]	-0.1427474	-0.2346848	0.0187417
temp	Pacific	(28.05,28.1]	0.0226138	-0.0504043	0.1338339
temp	Pacific	(28.1, Inf]	0.2749497	0.1210762	0.5420670

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

12 December, 2020