eMLR - assumption testing

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Last updated: 2021-05-12

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

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html	318609d	jens-daniel-mueller	2020-12-23	adapted more variable predictor selection
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Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit
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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).

plot_fun <- function(df){
  ggpairs(
    data = df,
    columns = c(params_local$MLR_target,
                params_local$MLR_predictors),
    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:",
      unique(df$basin),
      "| era: all | random subsample:",
      nrow(df),
      "| data source:",
      unique(df$data_source)
    ))
}

GLODAP %>%
  slice_sample(n = 5e3) %>% 
  group_split(basin, data_source) %>%
  map(plot_fun)

[[1]]

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
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9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
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0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
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33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
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61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[2]]

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[3]]

Past versions of predictor_correlation_per_basin-3.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
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099d566	jens-daniel-mueller	2021-04-14
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338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[4]]

Past versions of predictor_correlation_per_basin-4.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

GLODAP <- GLODAP %>%
  filter(data_source == "obs") %>%
  select(-data_source)

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

/nfs/kryo/work/jenmueller/emlr_cant/observations/v_XXX/figures/Observations_correlation/

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]

    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]

      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(params_local$MLR_target,
                      params_local$MLR_predictors),
          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 individually 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]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    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)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        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_target_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).

# calculate min, max, mean across all eras
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()

# plot figure
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")

Past versions of correlation_predictor_pairs-1.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
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

# print table
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 + nitrate	Atlantic	(-Inf,26]	0.8944222	0.8841517	0.9046927
aou + nitrate	Atlantic	(26,26.5]	0.8555214	0.8443454	0.8666974
aou + nitrate	Atlantic	(26.5,26.75]	0.9328392	0.9305940	0.9350843
aou + nitrate	Atlantic	(26.75,27]	0.9126811	0.9109620	0.9144002
aou + nitrate	Atlantic	(27,27.25]	0.8656713	0.8646289	0.8667137
aou + nitrate	Atlantic	(27.25,27.5]	0.7614198	0.7561357	0.7667040
aou + nitrate	Atlantic	(27.5,27.75]	0.8678607	0.8661606	0.8695609
aou + nitrate	Atlantic	(27.75,27.85]	0.9451893	0.9384599	0.9519186
aou + nitrate	Atlantic	(27.85,27.95]	0.9498879	0.9435802	0.9561956
aou + nitrate	Atlantic	(27.95,28.05]	0.9516674	0.9470962	0.9562386
aou + nitrate	Atlantic	(28.05,28.1]	0.9519444	0.9443556	0.9595333
aou + nitrate	Atlantic	(28.1,28.15]	0.9728506	0.9653846	0.9803165
aou + nitrate	Atlantic	(28.15,28.2]	0.9787813	0.9689872	0.9885754
aou + nitrate	Atlantic	(28.2, Inf]	0.8191577	0.7673866	0.8709287
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9071051	0.8940339	0.9201762
aou + nitrate	Indo-Pacific	(26,26.5]	0.9045979	0.9014977	0.9076980
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9182445	0.9181809	0.9183080
aou + nitrate	Indo-Pacific	(26.75,27]	0.9438418	0.9421696	0.9455139
aou + nitrate	Indo-Pacific	(27,27.25]	0.9647817	0.9642900	0.9652733
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9709109	0.9684084	0.9734135
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9724606	0.9715202	0.9734011
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9811252	0.9806131	0.9816373
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9785199	0.9769998	0.9800401
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9645665	0.9628601	0.9662728
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9595425	0.9573249	0.9617602
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9237884	0.9185622	0.9290146
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.4115280	0.3753480	0.4477079
aou + nitrate	Indo-Pacific	(28.3,28.4]	0.2992699	0.2343373	0.3642025
aou + phosphate	Atlantic	(-Inf,26]	0.3889550	0.1947923	0.5831177
aou + phosphate	Atlantic	(26,26.5]	0.6329470	0.5998144	0.6660795
aou + phosphate	Atlantic	(26.5,26.75]	0.8436252	0.8421296	0.8451207
aou + phosphate	Atlantic	(26.75,27]	0.8365916	0.8335496	0.8396335
aou + phosphate	Atlantic	(27,27.25]	0.8088691	0.8027179	0.8150203
aou + phosphate	Atlantic	(27.25,27.5]	0.7066471	0.6954457	0.7178486
aou + phosphate	Atlantic	(27.5,27.75]	0.8436536	0.8413191	0.8459882
aou + phosphate	Atlantic	(27.75,27.85]	0.9335731	0.9228356	0.9443106
aou + phosphate	Atlantic	(27.85,27.95]	0.9434252	0.9364889	0.9503615
aou + phosphate	Atlantic	(27.95,28.05]	0.9470933	0.9416505	0.9525362
aou + phosphate	Atlantic	(28.05,28.1]	0.9440608	0.9349632	0.9531583
aou + phosphate	Atlantic	(28.1,28.15]	0.9691738	0.9615131	0.9768344
aou + phosphate	Atlantic	(28.15,28.2]	0.9786121	0.9684809	0.9887433
aou + phosphate	Atlantic	(28.2, Inf]	0.8147520	0.7615387	0.8679653
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9259528	0.9117014	0.9402041
aou + phosphate	Indo-Pacific	(26,26.5]	0.9552008	0.9501097	0.9602919
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9509871	0.9481141	0.9538600
aou + phosphate	Indo-Pacific	(26.75,27]	0.9502185	0.9451924	0.9552446
aou + phosphate	Indo-Pacific	(27,27.25]	0.9719498	0.9690901	0.9748096
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9789539	0.9781800	0.9797278
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9802850	0.9792345	0.9813356
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9842818	0.9842029	0.9843607
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9803482	0.9795104	0.9811860
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9681240	0.9677385	0.9685096
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9593881	0.9591396	0.9596366
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9138249	0.9097028	0.9179471
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.3083102	0.2585458	0.3580745
aou + phosphate	Indo-Pacific	(28.3,28.4]	0.3480401	0.2583442	0.4377361
aou + phosphate_star	Atlantic	(-Inf,26]	-0.4822498	-0.5683715	-0.3961280
aou + phosphate_star	Atlantic	(26,26.5]	0.1297791	0.0643568	0.1952015
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4197441	0.4082290	0.4312592
aou + phosphate_star	Atlantic	(26.75,27]	0.2119372	0.2003226	0.2235519
aou + phosphate_star	Atlantic	(27,27.25]	0.2291827	0.1566477	0.3017177
aou + phosphate_star	Atlantic	(27.25,27.5]	0.1925599	0.1453020	0.2398177
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5394627	0.5373816	0.5415438
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7010768	0.6636619	0.7384917
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6901083	0.6649493	0.7152673
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7849197	0.7680345	0.8018049
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8053252	0.7788581	0.8317922
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8868622	0.8605222	0.9132021
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9215967	0.8830834	0.9601099
aou + phosphate_star	Atlantic	(28.2, Inf]	0.4981381	0.3513975	0.6448787
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6223688	0.5645908	0.6801469
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6332486	0.6247440	0.6417532
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5499966	0.5396973	0.5602958
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.4679611	0.4665952	0.4693271
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1640564	0.1282654	0.1998474
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4156214	-0.4268161	-0.4044268
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6167674	-0.6260262	-0.6075085
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5072136	-0.5346324	-0.4797947
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1817373	-0.2036098	-0.1598648
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1774296	0.1262414	0.2286178
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3751579	0.3368635	0.4134523
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.1218973	-0.1719557	-0.0718390
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.8069602	-0.8393199	-0.7746005
aou + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8522642	-0.8536526	-0.8508758
aou + silicate	Atlantic	(-Inf,26]	0.0929284	0.0005008	0.1853561
aou + silicate	Atlantic	(26,26.5]	0.5506981	0.5256790	0.5757172
aou + silicate	Atlantic	(26.5,26.75]	0.7738923	0.7593212	0.7884634
aou + silicate	Atlantic	(26.75,27]	0.8228376	0.8027716	0.8429036
aou + silicate	Atlantic	(27,27.25]	0.7729087	0.7633453	0.7824721
aou + silicate	Atlantic	(27.25,27.5]	0.5095429	0.4804610	0.5386248
aou + silicate	Atlantic	(27.5,27.75]	0.6546580	0.6335690	0.6757469
aou + silicate	Atlantic	(27.75,27.85]	0.8538043	0.8510764	0.8565321
aou + silicate	Atlantic	(27.85,27.95]	0.8879234	0.8813929	0.8944538
aou + silicate	Atlantic	(27.95,28.05]	0.9331150	0.9306762	0.9355538
aou + silicate	Atlantic	(28.05,28.1]	0.9539320	0.9478440	0.9600199
aou + silicate	Atlantic	(28.1,28.15]	0.9741562	0.9710551	0.9772573
aou + silicate	Atlantic	(28.15,28.2]	0.9845738	0.9808982	0.9882495
aou + silicate	Atlantic	(28.2, Inf]	0.8249057	0.7658465	0.8839650
aou + silicate	Indo-Pacific	(-Inf,26]	0.7014253	0.6853920	0.7174586
aou + silicate	Indo-Pacific	(26,26.5]	0.6581043	0.6413083	0.6749003
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6703440	0.6588887	0.6817993
aou + silicate	Indo-Pacific	(26.75,27]	0.7629502	0.7520486	0.7738518
aou + silicate	Indo-Pacific	(27,27.25]	0.8914995	0.8771473	0.9058517
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9228661	0.9101936	0.9355387
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9430009	0.9362247	0.9497772
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9716193	0.9708373	0.9724013
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9667078	0.9665743	0.9668413
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9524911	0.9519837	0.9529984
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9536521	0.9520581	0.9552461
aou + silicate	Indo-Pacific	(28.1,28.2]	0.8878156	0.8804605	0.8951707
aou + silicate	Indo-Pacific	(28.2,28.3]	0.6041158	0.5974387	0.6107929
aou + silicate	Indo-Pacific	(28.3,28.4]	0.4787621	0.4210657	0.5364585
nitrate + phosphate	Atlantic	(-Inf,26]	0.6411687	0.4751397	0.8071977
nitrate + phosphate	Atlantic	(26,26.5]	0.9056631	0.8943210	0.9170051
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9706747	0.9689266	0.9724229
nitrate + phosphate	Atlantic	(26.75,27]	0.9814188	0.9813578	0.9814799
nitrate + phosphate	Atlantic	(27,27.25]	0.9886687	0.9880660	0.9892714
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9920662	0.9919302	0.9922021
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9932137	0.9915589	0.9948685
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9943559	0.9931048	0.9956070
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9914338	0.9890793	0.9937884
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9923737	0.9906706	0.9940768
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9922726	0.9910037	0.9935416
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9963197	0.9959834	0.9966560
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9971037	0.9970562	0.9971512
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9942263	0.9927294	0.9957232
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9603220	0.9582433	0.9624007
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9555765	0.9513198	0.9598332
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9662407	0.9640376	0.9684437
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9871654	0.9855237	0.9888071
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9897953	0.9879465	0.9916441
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9923002	0.9916548	0.9929456
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9913315	0.9911127	0.9915503
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9911597	0.9907552	0.9915642
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9911782	0.9901659	0.9921905
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9856272	0.9836020	0.9876523
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9843285	0.9819132	0.9867438
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9721665	0.9667119	0.9776210
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.6092996	0.5921793	0.6264199
nitrate + phosphate	Indo-Pacific	(28.3,28.4]	0.6883511	0.6882829	0.6884192
nitrate + phosphate_star	Atlantic	(-Inf,26]	-0.1554853	-0.2538520	-0.0571186
nitrate + phosphate_star	Atlantic	(26,26.5]	0.5779885	0.5378207	0.6181564
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.7005327	0.6872752	0.7137902
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5825292	0.5694837	0.5955747
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6751107	0.6203605	0.7298609
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7740979	0.7490513	0.7991446
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8729214	0.8719903	0.8738524
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8832012	0.8692445	0.8971580
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8644187	0.8543642	0.8744732
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9225972	0.9160563	0.9291382
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9356591	0.9280303	0.9432879
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9625367	0.9561510	0.9689223
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9755521	0.9660444	0.9850598
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.8940862	0.8582863	0.9298860
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8505799	0.8288306	0.8723291
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.8289219	0.8215054	0.8363383
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7686256	0.7555636	0.7816875
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7005087	0.6908561	0.7101614
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.3793306	0.3513365	0.4073247
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2176995	-0.2381670	-0.1972320
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4426474	-0.4478415	-0.4374532
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3644560	-0.3941867	-0.3347253
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0126655	-0.0385166	0.0131856
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3808630	0.3348282	0.4268978
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5788527	0.5465156	0.6111898
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2118707	0.1607148	0.2630266
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.0066936	-0.0576739	0.0442867
nitrate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.0728851	-0.0023409	0.1481112
nitrate + silicate	Atlantic	(-Inf,26]	0.3760432	0.3090333	0.4430531
nitrate + silicate	Atlantic	(26,26.5]	0.8244184	0.8163513	0.8324855
nitrate + silicate	Atlantic	(26.5,26.75]	0.8908464	0.8796903	0.9020025
nitrate + silicate	Atlantic	(26.75,27]	0.9180430	0.9053871	0.9306990
nitrate + silicate	Atlantic	(27,27.25]	0.9338741	0.9276260	0.9401222
nitrate + silicate	Atlantic	(27.25,27.5]	0.8828681	0.8671821	0.8985541
nitrate + silicate	Atlantic	(27.5,27.75]	0.8884972	0.8788077	0.8981867
nitrate + silicate	Atlantic	(27.75,27.85]	0.9530122	0.9495264	0.9564979
nitrate + silicate	Atlantic	(27.85,27.95]	0.9708516	0.9699587	0.9717445
nitrate + silicate	Atlantic	(27.95,28.05]	0.9822744	0.9816047	0.9829442
nitrate + silicate	Atlantic	(28.05,28.1]	0.9890536	0.9888134	0.9892939
nitrate + silicate	Atlantic	(28.1,28.15]	0.9913625	0.9909272	0.9917977
nitrate + silicate	Atlantic	(28.15,28.2]	0.9908940	0.9896703	0.9921178
nitrate + silicate	Atlantic	(28.2, Inf]	0.9695968	0.9623329	0.9768607
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8691659	0.8670937	0.8712382
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8200460	0.8079933	0.8320987
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8258427	0.8152488	0.8364366
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8501174	0.8406234	0.8596114
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9049672	0.8894221	0.9205122
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8994970	0.8811151	0.9178789
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9101579	0.8996253	0.9206905
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9555623	0.9540323	0.9570924
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9644699	0.9636985	0.9652413
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9507468	0.9459101	0.9555835
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9563568	0.9533276	0.9593861
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9090606	0.9031827	0.9149385
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.5471244	0.5214871	0.5727616
nitrate + silicate	Indo-Pacific	(28.3,28.4]	0.7214810	0.6992089	0.7437530
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5932374	0.5013672	0.6851076
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8470566	0.8349772	0.8591360
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8400208	0.8345891	0.8454525
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7119883	0.6997922	0.7241845
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7559249	0.7142232	0.7976266
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8287686	0.8105785	0.8469587
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9042718	0.9014115	0.9071321
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9079386	0.8987004	0.9171769
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8891583	0.8825816	0.8957349
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9404885	0.9368066	0.9441704
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9546789	0.9496069	0.9597509
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9727486	0.9667936	0.9787035
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9812427	0.9717423	0.9907431
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9056729	0.8731216	0.9382242
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8538361	0.8355742	0.8720980
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8313469	0.8278257	0.8348681
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7792472	0.7657522	0.7927422
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7177839	0.7054012	0.7301665
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3868147	0.3654406	0.4081887
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2323592	-0.2461369	-0.2185814
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4640140	-0.4710675	-0.4569606
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3587495	-0.3883729	-0.3291262
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0068705	-0.0196243	0.0333652
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4131381	0.3674033	0.4588729
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6185912	0.5856451	0.6515374
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2870858	0.2294843	0.3446874
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.2966647	0.2933873	0.2999420
phosphate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.1885785	0.0925131	0.2846440
sal + aou	Atlantic	(-Inf,26]	0.4094425	0.3075654	0.5113197
sal + aou	Atlantic	(26,26.5]	-0.0346491	-0.0878216	0.0185233
sal + aou	Atlantic	(26.5,26.75]	-0.3194372	-0.3286350	-0.3102394
sal + aou	Atlantic	(26.75,27]	-0.1642162	-0.1699874	-0.1584450
sal + aou	Atlantic	(27,27.25]	-0.2370435	-0.3059712	-0.1681159
sal + aou	Atlantic	(27.25,27.5]	-0.1810414	-0.2298078	-0.1322750
sal + aou	Atlantic	(27.5,27.75]	-0.3859751	-0.4009109	-0.3710393
sal + aou	Atlantic	(27.75,27.85]	-0.4231244	-0.4726981	-0.3735507
sal + aou	Atlantic	(27.85,27.95]	-0.3614817	-0.4111499	-0.3118135
sal + aou	Atlantic	(27.95,28.05]	-0.6118669	-0.6421839	-0.5815500
sal + aou	Atlantic	(28.05,28.1]	-0.6650293	-0.7044133	-0.6256453
sal + aou	Atlantic	(28.1,28.15]	-0.7950031	-0.8304885	-0.7595177
sal + aou	Atlantic	(28.15,28.2]	-0.8661188	-0.9248711	-0.8073665
sal + aou	Atlantic	(28.2, Inf]	-0.5530220	-0.6625380	-0.4435061
sal + aou	Indo-Pacific	(-Inf,26]	-0.0617560	-0.0767104	-0.0468015
sal + aou	Indo-Pacific	(26,26.5]	-0.2159291	-0.2507322	-0.1811260
sal + aou	Indo-Pacific	(26.5,26.75]	-0.3138459	-0.3511807	-0.2765111
sal + aou	Indo-Pacific	(26.75,27]	-0.3163704	-0.3456261	-0.2871148
sal + aou	Indo-Pacific	(27,27.25]	-0.1634985	-0.1687819	-0.1582151
sal + aou	Indo-Pacific	(27.25,27.5]	0.0543048	0.0401148	0.0684947
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0203137	-0.0242747	-0.0163527
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1926735	-0.1971928	-0.1881542
sal + aou	Indo-Pacific	(27.85,27.95]	-0.2964549	-0.3156205	-0.2772893
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3644114	-0.3812377	-0.3475851
sal + aou	Indo-Pacific	(28.05,28.1]	-0.4194765	-0.4201490	-0.4188039
sal + aou	Indo-Pacific	(28.1,28.2]	-0.0718552	-0.0737813	-0.0699291
sal + aou	Indo-Pacific	(28.2,28.3]	0.8675285	0.8620744	0.8729827
sal + aou	Indo-Pacific	(28.3,28.4]	0.8207113	0.8064240	0.8349987
sal + nitrate	Atlantic	(-Inf,26]	0.1372087	0.0486907	0.2257266
sal + nitrate	Atlantic	(26,26.5]	-0.4521618	-0.4881605	-0.4161630
sal + nitrate	Atlantic	(26.5,26.75]	-0.5992506	-0.6120684	-0.5864327
sal + nitrate	Atlantic	(26.75,27]	-0.5293736	-0.5372034	-0.5215438
sal + nitrate	Atlantic	(27,27.25]	-0.6679975	-0.7196551	-0.6163399
sal + nitrate	Atlantic	(27.25,27.5]	-0.7422017	-0.7723379	-0.7120655
sal + nitrate	Atlantic	(27.5,27.75]	-0.7175831	-0.7281869	-0.7069792
sal + nitrate	Atlantic	(27.75,27.85]	-0.6279525	-0.6422082	-0.6136967
sal + nitrate	Atlantic	(27.85,27.95]	-0.5809373	-0.6096371	-0.5522375
sal + nitrate	Atlantic	(27.95,28.05]	-0.7786700	-0.7919753	-0.7653646
sal + nitrate	Atlantic	(28.05,28.1]	-0.8265353	-0.8424944	-0.8105762
sal + nitrate	Atlantic	(28.1,28.15]	-0.8886144	-0.8996616	-0.8775672
sal + nitrate	Atlantic	(28.15,28.2]	-0.9301333	-0.9503751	-0.9098915
sal + nitrate	Atlantic	(28.2, Inf]	-0.9092671	-0.9293642	-0.8891700
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3325958	-0.3503297	-0.3148619
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5244185	-0.5659951	-0.4828419
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.5965236	-0.6325955	-0.5604518
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5529631	-0.5864440	-0.5194823
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3251718	-0.3377080	-0.3126355
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0426875	-0.0502336	-0.0351414
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.1217340	-0.1247090	-0.1187590
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2852595	-0.2937525	-0.2767664
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4137553	-0.4265913	-0.4009194
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.5326695	-0.5471704	-0.5181686
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.6136853	-0.6149417	-0.6124289
sal + nitrate	Indo-Pacific	(28.1,28.2]	-0.3696195	-0.3711591	-0.3680800
sal + nitrate	Indo-Pacific	(28.2,28.3]	0.2719274	0.2462162	0.2976387
sal + nitrate	Indo-Pacific	(28.3,28.4]	0.1075156	-0.0043000	0.2193311
sal + phosphate	Atlantic	(-Inf,26]	-0.4960132	-0.5354339	-0.4565926
sal + phosphate	Atlantic	(26,26.5]	-0.7615605	-0.7672534	-0.7558675
sal + phosphate	Atlantic	(26.5,26.75]	-0.7582039	-0.7631112	-0.7532966
sal + phosphate	Atlantic	(26.75,27]	-0.6658517	-0.6738061	-0.6578974
sal + phosphate	Atlantic	(27,27.25]	-0.7476446	-0.7852537	-0.7100355
sal + phosphate	Atlantic	(27.25,27.5]	-0.7962588	-0.8174045	-0.7751131
sal + phosphate	Atlantic	(27.5,27.75]	-0.7590110	-0.7676074	-0.7504146
sal + phosphate	Atlantic	(27.75,27.85]	-0.6620911	-0.6770823	-0.6470999
sal + phosphate	Atlantic	(27.85,27.95]	-0.6004392	-0.6333100	-0.5675684
sal + phosphate	Atlantic	(27.95,28.05]	-0.7914290	-0.8066579	-0.7762001
sal + phosphate	Atlantic	(28.05,28.1]	-0.8424870	-0.8575598	-0.8274143
sal + phosphate	Atlantic	(28.1,28.15]	-0.9006914	-0.9128980	-0.8884849
sal + phosphate	Atlantic	(28.15,28.2]	-0.9362086	-0.9575025	-0.9149146
sal + phosphate	Atlantic	(28.2, Inf]	-0.9157601	-0.9329762	-0.8985439
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1550850	-0.1757398	-0.1344302
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4428109	-0.4916909	-0.3939308
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.5574328	-0.5956322	-0.5192334
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5615758	-0.5992753	-0.5238764
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3285109	-0.3481038	-0.3089180
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0193085	-0.0210983	-0.0175187
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0668834	-0.0735919	-0.0601749
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2301052	-0.2408923	-0.2193181
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3803485	-0.3934952	-0.3672019
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5219571	-0.5318506	-0.5120635
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6055018	-0.6075099	-0.6034937
sal + phosphate	Indo-Pacific	(28.1,28.2]	-0.3723813	-0.3780496	-0.3667130
sal + phosphate	Indo-Pacific	(28.2,28.3]	0.1671168	0.0930882	0.2411454
sal + phosphate	Indo-Pacific	(28.3,28.4]	0.1654592	0.0331344	0.2977839
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8926763	-0.9116381	-0.8737144
sal + phosphate_star	Atlantic	(26,26.5]	-0.9648765	-0.9671181	-0.9626350
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9731335	-0.9731442	-0.9731229
sal + phosphate_star	Atlantic	(26.75,27]	-0.9822086	-0.9824795	-0.9819378
sal + phosphate_star	Atlantic	(27,27.25]	-0.9814834	-0.9824408	-0.9805260
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9710462	-0.9724622	-0.9696302
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9181633	-0.9226933	-0.9136333
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8658228	-0.8693871	-0.8622585
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8454600	-0.8629668	-0.8279532
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9102041	-0.9163899	-0.9040183
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9377224	-0.9425262	-0.9329185
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9601710	-0.9625049	-0.9578372
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9730544	-0.9756967	-0.9704120
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9745681	-0.9787119	-0.9704244
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4265414	-0.4714198	-0.3816630
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7991694	-0.8296684	-0.7686703
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9079387	-0.9152063	-0.9006710
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9247743	-0.9315470	-0.9180016
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8385177	-0.8481475	-0.8288879
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5705755	-0.6058003	-0.5353507
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3757438	-0.4134595	-0.3380281
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3482867	-0.3831686	-0.3134048
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5579326	-0.5886964	-0.5271688
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7955008	-0.7977436	-0.7932580
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8708605	-0.8726271	-0.8690940
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.7869100	-0.7969118	-0.7769081
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7643085	-0.8086235	-0.7199936
sal + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.7678321	-0.7819160	-0.7537482
sal + silicate	Atlantic	(-Inf,26]	-0.7124741	-0.7477422	-0.6772060
sal + silicate	Atlantic	(26,26.5]	-0.7229750	-0.7473236	-0.6986264
sal + silicate	Atlantic	(26.5,26.75]	-0.6836742	-0.6877317	-0.6796167
sal + silicate	Atlantic	(26.75,27]	-0.5398673	-0.5562193	-0.5235154
sal + silicate	Atlantic	(27,27.25]	-0.7016181	-0.7447607	-0.6584756
sal + silicate	Atlantic	(27.25,27.5]	-0.8125388	-0.8307972	-0.7942803
sal + silicate	Atlantic	(27.5,27.75]	-0.7498032	-0.7692174	-0.7303890
sal + silicate	Atlantic	(27.75,27.85]	-0.6956500	-0.7256047	-0.6656953
sal + silicate	Atlantic	(27.85,27.95]	-0.6780259	-0.7120540	-0.6439977
sal + silicate	Atlantic	(27.95,28.05]	-0.8177534	-0.8364579	-0.7990489
sal + silicate	Atlantic	(28.05,28.1]	-0.8338536	-0.8533680	-0.8143391
sal + silicate	Atlantic	(28.1,28.15]	-0.8872738	-0.9070721	-0.8674755
sal + silicate	Atlantic	(28.15,28.2]	-0.9006996	-0.9341098	-0.8672893
sal + silicate	Atlantic	(28.2, Inf]	-0.8542212	-0.8762464	-0.8321960
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5475880	-0.5506047	-0.5445713
sal + silicate	Indo-Pacific	(26,26.5]	-0.6702798	-0.6710232	-0.6695364
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.7968355	-0.8043308	-0.7893401
sal + silicate	Indo-Pacific	(26.75,27]	-0.7566077	-0.7619964	-0.7512190
sal + silicate	Indo-Pacific	(27,27.25]	-0.5072878	-0.5209245	-0.4936511
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1934241	-0.2283522	-0.1584959
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0976908	-0.1095327	-0.0858490
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2455783	-0.2501646	-0.2409920
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3452464	-0.3601497	-0.3303432
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4292939	-0.4400349	-0.4185529
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5064176	-0.5064634	-0.5063718
sal + silicate	Indo-Pacific	(28.1,28.2]	-0.1728978	-0.1750884	-0.1707071
sal + silicate	Indo-Pacific	(28.2,28.3]	0.6124014	0.6106155	0.6141873
sal + silicate	Indo-Pacific	(28.3,28.4]	0.2685124	0.1757550	0.3612698
sal + temp	Atlantic	(-Inf,26]	0.9123164	0.8851004	0.9395323
sal + temp	Atlantic	(26,26.5]	0.9687256	0.9665947	0.9708565
sal + temp	Atlantic	(26.5,26.75]	0.9901523	0.9900337	0.9902708
sal + temp	Atlantic	(26.75,27]	0.9825451	0.9823663	0.9827239
sal + temp	Atlantic	(27,27.25]	0.9804004	0.9793735	0.9814274
sal + temp	Atlantic	(27.25,27.5]	0.9751797	0.9744939	0.9758655
sal + temp	Atlantic	(27.5,27.75]	0.9677400	0.9647305	0.9707494
sal + temp	Atlantic	(27.75,27.85]	0.9806159	0.9795243	0.9817076
sal + temp	Atlantic	(27.85,27.95]	0.9454984	0.9451865	0.9458102
sal + temp	Atlantic	(27.95,28.05]	0.9282164	0.9250864	0.9313463
sal + temp	Atlantic	(28.05,28.1]	0.9674181	0.9670361	0.9678001
sal + temp	Atlantic	(28.1,28.15]	0.9639713	0.9636272	0.9643153
sal + temp	Atlantic	(28.15,28.2]	0.8941835	0.8838797	0.9044874
sal + temp	Atlantic	(28.2, Inf]	0.3204772	0.1903930	0.4505613
sal + temp	Indo-Pacific	(-Inf,26]	0.7028170	0.6909322	0.7147018
sal + temp	Indo-Pacific	(26,26.5]	0.9383170	0.9325514	0.9440825
sal + temp	Indo-Pacific	(26.5,26.75]	0.9818865	0.9808406	0.9829324
sal + temp	Indo-Pacific	(26.75,27]	0.9783843	0.9773335	0.9794351
sal + temp	Indo-Pacific	(27,27.25]	0.9430015	0.9409776	0.9450254
sal + temp	Indo-Pacific	(27.25,27.5]	0.8523652	0.8517959	0.8529344
sal + temp	Indo-Pacific	(27.5,27.75]	0.6802684	0.6738664	0.6866704
sal + temp	Indo-Pacific	(27.75,27.85]	0.8312825	0.8247645	0.8378006
sal + temp	Indo-Pacific	(27.85,27.95]	0.7637977	0.7481532	0.7794423
sal + temp	Indo-Pacific	(27.95,28.05]	0.7279187	0.7268977	0.7289397
sal + temp	Indo-Pacific	(28.05,28.1]	0.7022148	0.6891288	0.7153007
sal + temp	Indo-Pacific	(28.1,28.2]	0.4467926	0.4245784	0.4690068
sal + temp	Indo-Pacific	(28.2,28.3]	0.8285995	0.8218252	0.8353738
sal + temp	Indo-Pacific	(28.3,28.4]	0.8001678	0.7784997	0.8218359
silicate + phosphate	Atlantic	(-Inf,26]	0.7501859	0.7043921	0.7959796
silicate + phosphate	Atlantic	(26,26.5]	0.9120520	0.9064938	0.9176102
silicate + phosphate	Atlantic	(26.5,26.75]	0.9036218	0.8941631	0.9130805
silicate + phosphate	Atlantic	(26.75,27]	0.9224163	0.9138430	0.9309897
silicate + phosphate	Atlantic	(27,27.25]	0.9481929	0.9444652	0.9519205
silicate + phosphate	Atlantic	(27.25,27.5]	0.9096266	0.8988597	0.9203935
silicate + phosphate	Atlantic	(27.5,27.75]	0.9065187	0.8975426	0.9154948
silicate + phosphate	Atlantic	(27.75,27.85]	0.9592456	0.9572626	0.9612287
silicate + phosphate	Atlantic	(27.85,27.95]	0.9733352	0.9718489	0.9748215
silicate + phosphate	Atlantic	(27.95,28.05]	0.9830942	0.9820011	0.9841873
silicate + phosphate	Atlantic	(28.05,28.1]	0.9882294	0.9868367	0.9896221
silicate + phosphate	Atlantic	(28.1,28.15]	0.9924823	0.9915278	0.9934369
silicate + phosphate	Atlantic	(28.15,28.2]	0.9891602	0.9876644	0.9906561
silicate + phosphate	Atlantic	(28.2, Inf]	0.9682582	0.9603501	0.9761663
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7612117	0.7573456	0.7650778
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7580083	0.7403684	0.7756483
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7978443	0.7868650	0.8088237
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8557742	0.8440471	0.8675013
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9121472	0.8952327	0.9290617
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9047007	0.8852823	0.9241190
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9109879	0.8984162	0.9235596
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9584795	0.9559045	0.9610544
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9701641	0.9700691	0.9702590
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9634728	0.9628447	0.9641008
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9610667	0.9609113	0.9612221
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.9002600	0.8974296	0.9030905
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.4242158	0.3821795	0.4662521
silicate + phosphate	Indo-Pacific	(28.3,28.4]	0.6550051	0.6476373	0.6623729
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6788683	0.6239573	0.7337792
silicate + phosphate_star	Atlantic	(26,26.5]	0.7941396	0.7697016	0.8185776
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7582303	0.7514586	0.7650021
silicate + phosphate_star	Atlantic	(26.75,27]	0.5931962	0.5732187	0.6131737
silicate + phosphate_star	Atlantic	(27,27.25]	0.7135518	0.6710679	0.7560358
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8661915	0.8536366	0.8787464
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9110026	0.9059850	0.9160202
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9231829	0.9071160	0.9392498
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9161011	0.9060302	0.9261719
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9326369	0.9249203	0.9403535
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9296120	0.9201763	0.9390476
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9555781	0.9437033	0.9674529
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9547278	0.9362889	0.9731667
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8537492	0.8157593	0.8917391
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7588094	0.7411909	0.7764278
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7929826	0.7901840	0.7957813
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8372695	0.8361790	0.8383600
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7682508	0.7662309	0.7702706
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.4034311	0.3732096	0.4336526
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2720573	-0.2797825	-0.2643320
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5429313	-0.5560340	-0.5298285
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4412300	-0.4744678	-0.4079922
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0367267	-0.0598985	-0.0135548
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3522907	0.3064916	0.3980898
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5220749	0.4930752	0.5510746
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.1340052	0.0736177	0.1943927
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.2885922	-0.3206978	-0.2564865
silicate + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.1199842	-0.1957152	-0.0442531
temp + aou	Atlantic	(-Inf,26]	0.3790548	0.2820238	0.4760857
temp + aou	Atlantic	(26,26.5]	-0.0797189	-0.1361431	-0.0232946
temp + aou	Atlantic	(26.5,26.75]	-0.3318444	-0.3384635	-0.3252253
temp + aou	Atlantic	(26.75,27]	-0.1553213	-0.1593032	-0.1513394
temp + aou	Atlantic	(27,27.25]	-0.1745466	-0.2476149	-0.1014783
temp + aou	Atlantic	(27.25,27.5]	-0.1329738	-0.1818350	-0.0841126
temp + aou	Atlantic	(27.5,27.75]	-0.3492895	-0.3519377	-0.3466414
temp + aou	Atlantic	(27.75,27.85]	-0.4198443	-0.4604878	-0.3792008
temp + aou	Atlantic	(27.85,27.95]	-0.3464494	-0.3913205	-0.3015784
temp + aou	Atlantic	(27.95,28.05]	-0.5172016	-0.5322207	-0.5021825
temp + aou	Atlantic	(28.05,28.1]	-0.5258086	-0.5721156	-0.4795017
temp + aou	Atlantic	(28.1,28.15]	-0.6515488	-0.6981048	-0.6049928
temp + aou	Atlantic	(28.15,28.2]	-0.6281796	-0.7469492	-0.5094100
temp + aou	Atlantic	(28.2, Inf]	0.4373350	0.4254650	0.4492049
temp + aou	Indo-Pacific	(-Inf,26]	-0.2732709	-0.3155573	-0.2309844
temp + aou	Indo-Pacific	(26,26.5]	-0.2818863	-0.3093730	-0.2543996
temp + aou	Indo-Pacific	(26.5,26.75]	-0.2836473	-0.3209715	-0.2463231
temp + aou	Indo-Pacific	(26.75,27]	-0.3150941	-0.3417100	-0.2884781
temp + aou	Indo-Pacific	(27,27.25]	-0.2222596	-0.2335974	-0.2109218
temp + aou	Indo-Pacific	(27.25,27.5]	0.0085164	0.0060310	0.0110018
temp + aou	Indo-Pacific	(27.5,27.75]	0.0514193	0.0418782	0.0609605
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0028727	-0.0109290	0.0051837
temp + aou	Indo-Pacific	(27.85,27.95]	0.0302863	0.0290562	0.0315163
temp + aou	Indo-Pacific	(27.95,28.05]	0.1152557	0.0866696	0.1438417
temp + aou	Indo-Pacific	(28.05,28.1]	0.2333181	0.2102023	0.2564339
temp + aou	Indo-Pacific	(28.1,28.2]	0.7415162	0.7235886	0.7594437
temp + aou	Indo-Pacific	(28.2,28.3]	0.8210107	0.8180773	0.8239441
temp + aou	Indo-Pacific	(28.3,28.4]	0.9607625	0.9504110	0.9711140
temp + nitrate	Atlantic	(-Inf,26]	0.1477977	0.0485758	0.2470196
temp + nitrate	Atlantic	(26,26.5]	-0.5236351	-0.5591977	-0.4880724
temp + nitrate	Atlantic	(26.5,26.75]	-0.6155586	-0.6263969	-0.6047202
temp + nitrate	Atlantic	(26.75,27]	-0.5290281	-0.5307820	-0.5272742
temp + nitrate	Atlantic	(27,27.25]	-0.6245356	-0.6806997	-0.5683715
temp + nitrate	Atlantic	(27.25,27.5]	-0.7092292	-0.7407549	-0.6777035
temp + nitrate	Atlantic	(27.5,27.75]	-0.6917098	-0.6927329	-0.6906866
temp + nitrate	Atlantic	(27.75,27.85]	-0.6356925	-0.6444068	-0.6269782
temp + nitrate	Atlantic	(27.85,27.95]	-0.5687201	-0.5919612	-0.5454791
temp + nitrate	Atlantic	(27.95,28.05]	-0.6953578	-0.7010060	-0.6897096
temp + nitrate	Atlantic	(28.05,28.1]	-0.7206969	-0.7394593	-0.7019346
temp + nitrate	Atlantic	(28.1,28.15]	-0.7674341	-0.7829124	-0.7519557
temp + nitrate	Atlantic	(28.15,28.2]	-0.7150614	-0.7732608	-0.6568619
temp + nitrate	Atlantic	(28.2, Inf]	0.0015233	-0.0783875	0.0814341
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5699936	-0.5852842	-0.5547031
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5956903	-0.6280472	-0.5633333
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.5802021	-0.6164065	-0.5439976
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5696191	-0.6001212	-0.5391170
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4134225	-0.4173697	-0.4094753
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.1304809	-0.1318349	-0.1291270
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0583030	-0.0741724	-0.0424335
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0914111	-0.1031182	-0.0797039
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.0845655	-0.0904860	-0.0786450
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0612043	-0.0867524	-0.0356561
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0194728	-0.0056279	0.0445735
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.5127286	0.4881624	0.5372948
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.1557092	0.1415112	0.1699072
temp + nitrate	Indo-Pacific	(28.3,28.4]	0.3202946	0.2316920	0.4088972
temp + phosphate	Atlantic	(-Inf,26]	-0.4472540	-0.4995704	-0.3949376
temp + phosphate	Atlantic	(26,26.5]	-0.7817004	-0.7863004	-0.7771004
temp + phosphate	Atlantic	(26.5,26.75]	-0.7643579	-0.7681983	-0.7605175
temp + phosphate	Atlantic	(26.75,27]	-0.6581267	-0.6583426	-0.6579109
temp + phosphate	Atlantic	(27,27.25]	-0.7033627	-0.7450580	-0.6616675
temp + phosphate	Atlantic	(27.25,27.5]	-0.7677035	-0.7900549	-0.7453520
temp + phosphate	Atlantic	(27.5,27.75]	-0.7345818	-0.7358371	-0.7333265
temp + phosphate	Atlantic	(27.75,27.85]	-0.6687521	-0.6780586	-0.6594455
temp + phosphate	Atlantic	(27.85,27.95]	-0.5866489	-0.6146356	-0.5586622
temp + phosphate	Atlantic	(27.95,28.05]	-0.7103693	-0.7185217	-0.7022169
temp + phosphate	Atlantic	(28.05,28.1]	-0.7394080	-0.7577928	-0.7210231
temp + phosphate	Atlantic	(28.1,28.15]	-0.7842745	-0.8013483	-0.7672008
temp + phosphate	Atlantic	(28.15,28.2]	-0.7269115	-0.7871691	-0.6666538
temp + phosphate	Atlantic	(28.2, Inf]	-0.0157980	-0.1007977	0.0692018
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4603164	-0.4711104	-0.4495224
temp + phosphate	Indo-Pacific	(26,26.5]	-0.5208724	-0.5602342	-0.4815106
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.5402145	-0.5790226	-0.5014065
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5723451	-0.6075866	-0.5371036
temp + phosphate	Indo-Pacific	(27,27.25]	-0.4057274	-0.4107602	-0.4006945
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.1003736	-0.1080672	-0.0926800
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0001104	-0.0198208	0.0196001
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.0412210	-0.0554266	-0.0270155
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0569871	-0.0625975	-0.0513767
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0512266	-0.0721804	-0.0302728
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0308739	0.0127028	0.0490451
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.5106845	0.4976819	0.5236871
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.1346676	0.0586498	0.2106854
temp + phosphate	Indo-Pacific	(28.3,28.4]	0.3551182	0.2421111	0.4681253
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8481049	-0.8486948	-0.8475149
temp + phosphate_star	Atlantic	(26,26.5]	-0.9682064	-0.9719959	-0.9644170
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9743993	-0.9750769	-0.9737217
temp + phosphate_star	Atlantic	(26.75,27]	-0.9837001	-0.9861117	-0.9812885
temp + phosphate_star	Atlantic	(27,27.25]	-0.9817099	-0.9843887	-0.9790312
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9747334	-0.9760282	-0.9734386
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9167286	-0.9168248	-0.9166325
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8832401	-0.8878297	-0.8786505
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8473765	-0.8607126	-0.8340405
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8696591	-0.8754542	-0.8638640
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8832326	-0.8878086	-0.8786567
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8820897	-0.8827241	-0.8814554
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8108699	-0.8284298	-0.7933100
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3669641	-0.5116620	-0.2222662
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7837442	-0.7915107	-0.7759776
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8792255	-0.8978432	-0.8606079
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9208165	-0.9280252	-0.9136078
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9545580	-0.9591420	-0.9499740
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9208991	-0.9292496	-0.9125487
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7206235	-0.7422184	-0.6990285
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5379701	-0.5638869	-0.5120533
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4934611	-0.5200393	-0.4668828
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6803710	-0.6897554	-0.6709865
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7495327	-0.7725054	-0.7265600
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6147284	-0.6351197	-0.5943370
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5479022	-0.6005573	-0.4952471
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7892845	-0.8303322	-0.7482369
temp + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8117739	-0.8165733	-0.8069746
temp + silicate	Atlantic	(-Inf,26]	-0.6572611	-0.6965651	-0.6179571
temp + silicate	Atlantic	(26,26.5]	-0.7355312	-0.7627577	-0.7083048
temp + silicate	Atlantic	(26.5,26.75]	-0.7068137	-0.7090619	-0.7045656
temp + silicate	Atlantic	(26.75,27]	-0.5518603	-0.5615902	-0.5421304
temp + silicate	Atlantic	(27,27.25]	-0.6771798	-0.7209493	-0.6334103
temp + silicate	Atlantic	(27.25,27.5]	-0.8375171	-0.8505341	-0.8245001
temp + silicate	Atlantic	(27.5,27.75]	-0.7854509	-0.8028330	-0.7680689
temp + silicate	Atlantic	(27.75,27.85]	-0.7254277	-0.7517273	-0.6991280
temp + silicate	Atlantic	(27.85,27.95]	-0.6832388	-0.7117271	-0.6547504
temp + silicate	Atlantic	(27.95,28.05]	-0.7602096	-0.7696914	-0.7507277
temp + silicate	Atlantic	(28.05,28.1]	-0.7296566	-0.7539431	-0.7053701
temp + silicate	Atlantic	(28.1,28.15]	-0.7686729	-0.7971378	-0.7402081
temp + silicate	Atlantic	(28.15,28.2]	-0.6699696	-0.7495597	-0.5903795
temp + silicate	Atlantic	(28.2, Inf]	0.0409107	-0.0511194	0.1329407
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6419595	-0.6601271	-0.6237919
temp + silicate	Indo-Pacific	(26,26.5]	-0.7129663	-0.7188145	-0.7071180
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.7886648	-0.7978602	-0.7794695
temp + silicate	Indo-Pacific	(26.75,27]	-0.7511950	-0.7557168	-0.7466733
temp + silicate	Indo-Pacific	(27,27.25]	-0.5547715	-0.5826503	-0.5268928
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.2863306	-0.3131520	-0.2595093
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.1847692	-0.1928519	-0.1766865
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1262297	-0.1323967	-0.1200626
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1121152	-0.1151774	-0.1090530
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0717528	-0.0966438	-0.0468619
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1071812	0.0849760	0.1293864
temp + silicate	Indo-Pacific	(28.1,28.2]	0.5467831	0.5227322	0.5708340
temp + silicate	Indo-Pacific	(28.2,28.3]	0.4128570	0.4039881	0.4217260
temp + silicate	Indo-Pacific	(28.3,28.4]	0.5255738	0.4513418	0.5998057

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_target_predictor <- cor_target_predictor %>% 
  rename(predictor = term)

# calculate min, max, mean across all eras
cor_target_predictor_stats <- cor_target_predictor %>%
  select(-era) %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise_all(list(mean_r = mean, min_r = min, max_r = max)) %>% 
  ungroup()

# plot figure
cor_target_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")

Past versions of correlation_predictors-1.png

Version	Author	Date
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
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

# print table
kable(cor_target_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]	0.5605067	0.5300193	0.5909941
aou	Atlantic	(26,26.5]	0.1613267	0.0529772	0.2696763
aou	Atlantic	(26.5,26.75]	-0.3143323	-0.3830014	-0.2456632
aou	Atlantic	(26.75,27]	-0.2918149	-0.3044856	-0.2791442
aou	Atlantic	(27,27.25]	-0.4518146	-0.5108554	-0.3927738
aou	Atlantic	(27.25,27.5]	-0.4779129	-0.4954765	-0.4603494
aou	Atlantic	(27.5,27.75]	-0.7817950	-0.7984370	-0.7651529
aou	Atlantic	(27.75,27.85]	-0.9052796	-0.9271237	-0.8834355
aou	Atlantic	(27.85,27.95]	-0.9148375	-0.9329339	-0.8967412
aou	Atlantic	(27.95,28.05]	-0.8622629	-0.8724619	-0.8520640
aou	Atlantic	(28.05,28.1]	-0.8336042	-0.8445629	-0.8226454
aou	Atlantic	(28.1,28.15]	-0.8653871	-0.8760672	-0.8547069
aou	Atlantic	(28.15,28.2]	-0.9457167	-0.9589754	-0.9324581
aou	Atlantic	(28.2, Inf]	-0.6757770	-0.7766008	-0.5749532
aou	Indo-Pacific	(-Inf,26]	-0.1049482	-0.1184583	-0.0914380
aou	Indo-Pacific	(26,26.5]	-0.7371861	-0.7638446	-0.7105276
aou	Indo-Pacific	(26.5,26.75]	-0.7592780	-0.7790684	-0.7394875
aou	Indo-Pacific	(26.75,27]	-0.7341404	-0.7745198	-0.6937611
aou	Indo-Pacific	(27,27.25]	0.0513219	-0.0193821	0.1220259
aou	Indo-Pacific	(27.25,27.5]	0.6023939	0.5574452	0.6473426
aou	Indo-Pacific	(27.5,27.75]	0.7554456	0.7377909	0.7731002
aou	Indo-Pacific	(27.75,27.85]	0.8045627	0.8038406	0.8052848
aou	Indo-Pacific	(27.85,27.95]	0.7563286	0.7439068	0.7687504
aou	Indo-Pacific	(27.95,28.05]	0.5205593	0.4754235	0.5656952
aou	Indo-Pacific	(28.05,28.1]	0.2466578	0.1708971	0.3224185
aou	Indo-Pacific	(28.1,28.2]	0.2370941	0.1274055	0.3467827
aou	Indo-Pacific	(28.2,28.3]	0.0594279	0.0399800	0.0788759
aou	Indo-Pacific	(28.3,28.4]	0.1210425	0.0755012	0.1665839
aou	Indo-Pacific	(28.4, Inf]	NA	NA	NA
nitrate	Atlantic	(-Inf,26]	0.3270437	0.3052051	0.3488823
nitrate	Atlantic	(26,26.5]	-0.2667232	-0.3480777	-0.1853687
nitrate	Atlantic	(26.5,26.75]	-0.5612105	-0.6227211	-0.4997000
nitrate	Atlantic	(26.75,27]	-0.6152970	-0.6289349	-0.6016592
nitrate	Atlantic	(27,27.25]	-0.8078239	-0.8468403	-0.7688074
nitrate	Atlantic	(27.25,27.5]	-0.9169472	-0.9230267	-0.9108677
nitrate	Atlantic	(27.5,27.75]	-0.9705001	-0.9749620	-0.9660382
nitrate	Atlantic	(27.75,27.85]	-0.9613357	-0.9657195	-0.9569519
nitrate	Atlantic	(27.85,27.95]	-0.9304836	-0.9393010	-0.9216662
nitrate	Atlantic	(27.95,28.05]	-0.9026836	-0.9072055	-0.8981617
nitrate	Atlantic	(28.05,28.1]	-0.8799213	-0.8802197	-0.8796229
nitrate	Atlantic	(28.1,28.15]	-0.9012202	-0.9027172	-0.8997232
nitrate	Atlantic	(28.15,28.2]	-0.9786576	-0.9796895	-0.9776257
nitrate	Atlantic	(28.2, Inf]	-0.9528876	-0.9706756	-0.9350996
nitrate	Indo-Pacific	(-Inf,26]	-0.1133487	-0.1187520	-0.1079454
nitrate	Indo-Pacific	(26,26.5]	-0.8401082	-0.8497427	-0.8304738
nitrate	Indo-Pacific	(26.5,26.75]	-0.8759546	-0.8844455	-0.8674637
nitrate	Indo-Pacific	(26.75,27]	-0.8525545	-0.8709691	-0.8341399
nitrate	Indo-Pacific	(27,27.25]	-0.0337952	-0.0812787	0.0136884
nitrate	Indo-Pacific	(27.25,27.5]	0.5288399	0.4759665	0.5817134
nitrate	Indo-Pacific	(27.5,27.75]	0.6883757	0.6648026	0.7119488
nitrate	Indo-Pacific	(27.75,27.85]	0.7590359	0.7583079	0.7597640
nitrate	Indo-Pacific	(27.85,27.95]	0.7004309	0.6841775	0.7166843
nitrate	Indo-Pacific	(27.95,28.05]	0.4317083	0.3778717	0.4855448
nitrate	Indo-Pacific	(28.05,28.1]	0.1640746	0.0796769	0.2484723
nitrate	Indo-Pacific	(28.1,28.2]	0.1041198	-0.0193434	0.2275829
nitrate	Indo-Pacific	(28.2,28.3]	-0.2982648	-0.3118080	-0.2847217
nitrate	Indo-Pacific	(28.3,28.4]	-0.5538879	-0.5860866	-0.5216893
nitrate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate	Atlantic	(-Inf,26]	0.0064978	-0.0714237	0.0844194
phosphate	Atlantic	(26,26.5]	-0.5062572	-0.5545617	-0.4579528
phosphate	Atlantic	(26.5,26.75]	-0.6779330	-0.7181150	-0.6377510
phosphate	Atlantic	(26.75,27]	-0.7311941	-0.7436963	-0.7186919
phosphate	Atlantic	(27,27.25]	-0.8717692	-0.8988603	-0.8446780
phosphate	Atlantic	(27.25,27.5]	-0.9482931	-0.9523633	-0.9442228
phosphate	Atlantic	(27.5,27.75]	-0.9820055	-0.9833565	-0.9806545
phosphate	Atlantic	(27.75,27.85]	-0.9707622	-0.9723155	-0.9692089
phosphate	Atlantic	(27.85,27.95]	-0.9426126	-0.9430737	-0.9421516
phosphate	Atlantic	(27.95,28.05]	-0.9138154	-0.9158119	-0.9118189
phosphate	Atlantic	(28.05,28.1]	-0.8910489	-0.8949256	-0.8871721
phosphate	Atlantic	(28.1,28.15]	-0.9039534	-0.9052295	-0.9026773
phosphate	Atlantic	(28.15,28.2]	-0.9820438	-0.9839400	-0.9801476
phosphate	Atlantic	(28.2, Inf]	-0.9618507	-0.9770851	-0.9466163
phosphate	Indo-Pacific	(-Inf,26]	-0.1047508	-0.1096191	-0.0998826
phosphate	Indo-Pacific	(26,26.5]	-0.8565936	-0.8695573	-0.8436300
phosphate	Indo-Pacific	(26.5,26.75]	-0.8947516	-0.9023793	-0.8871239
phosphate	Indo-Pacific	(26.75,27]	-0.8628555	-0.8791051	-0.8466059
phosphate	Indo-Pacific	(27,27.25]	-0.0456347	-0.0948644	0.0035950
phosphate	Indo-Pacific	(27.25,27.5]	0.5226256	0.4691771	0.5760741
phosphate	Indo-Pacific	(27.5,27.75]	0.6682057	0.6427928	0.6936185
phosphate	Indo-Pacific	(27.75,27.85]	0.7290569	0.7290441	0.7290697
phosphate	Indo-Pacific	(27.85,27.95]	0.6695483	0.6509759	0.6881208
phosphate	Indo-Pacific	(27.95,28.05]	0.3838646	0.3266977	0.4410315
phosphate	Indo-Pacific	(28.05,28.1]	0.0910892	-0.0007248	0.1829032
phosphate	Indo-Pacific	(28.1,28.2]	-0.0075294	-0.1479445	0.1328856
phosphate	Indo-Pacific	(28.2,28.3]	-0.6829383	-0.7008273	-0.6650494
phosphate	Indo-Pacific	(28.3,28.4]	-0.6841674	-0.6911799	-0.6771549
phosphate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate_star	Atlantic	(-Inf,26]	-0.4337852	-0.4663012	-0.4012692
phosphate_star	Atlantic	(26,26.5]	-0.7382898	-0.7441487	-0.7324309
phosphate_star	Atlantic	(26.5,26.75]	-0.8082827	-0.8130908	-0.8034747
phosphate_star	Atlantic	(26.75,27]	-0.9245789	-0.9253961	-0.9237617
phosphate_star	Atlantic	(27,27.25]	-0.9386989	-0.9434731	-0.9339247
phosphate_star	Atlantic	(27.25,27.5]	-0.9338742	-0.9470543	-0.9206941
phosphate_star	Atlantic	(27.5,27.75]	-0.9195222	-0.9303474	-0.9086971
phosphate_star	Atlantic	(27.75,27.85]	-0.8772778	-0.8846186	-0.8699370
phosphate_star	Atlantic	(27.85,27.95]	-0.7957423	-0.8047912	-0.7866933
phosphate_star	Atlantic	(27.95,28.05]	-0.8514392	-0.8575903	-0.8452881
phosphate_star	Atlantic	(28.05,28.1]	-0.8465873	-0.8522993	-0.8408752
phosphate_star	Atlantic	(28.1,28.15]	-0.8786017	-0.8798943	-0.8773091
phosphate_star	Atlantic	(28.15,28.2]	-0.9737269	-0.9752666	-0.9721873
phosphate_star	Atlantic	(28.2, Inf]	-0.9499779	-0.9671191	-0.9328368
phosphate_star	Indo-Pacific	(-Inf,26]	0.0461693	0.0451336	0.0472050
phosphate_star	Indo-Pacific	(26,26.5]	-0.8503705	-0.8525244	-0.8482165
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8715526	-0.8868002	-0.8563050
phosphate_star	Indo-Pacific	(26.75,27]	-0.7821106	-0.8155459	-0.7486754
phosphate_star	Indo-Pacific	(27,27.25]	-0.2474186	-0.3257612	-0.1690760
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3359075	-0.3541956	-0.3176194
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5739621	-0.5785987	-0.5693255
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5778585	-0.5966556	-0.5590614
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3673711	-0.3706815	-0.3640606
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2839755	-0.3155573	-0.2523937
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3318270	-0.4018974	-0.2617566
phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5269949	-0.5839062	-0.4700836
phosphate_star	Indo-Pacific	(28.2,28.3]	-0.4569065	-0.4882783	-0.4255348
phosphate_star	Indo-Pacific	(28.3,28.4]	-0.5162743	-0.5424955	-0.4900532
phosphate_star	Indo-Pacific	(28.4, Inf]	NA	NA	NA
sal	Atlantic	(-Inf,26]	0.3147437	0.3131699	0.3163175
sal	Atlantic	(26,26.5]	0.6699134	0.6626741	0.6771526
sal	Atlantic	(26.5,26.75]	0.7352544	0.7275557	0.7429532
sal	Atlantic	(26.75,27]	0.8917405	0.8898722	0.8936088
sal	Atlantic	(27,27.25]	0.9138203	0.9099638	0.9176768
sal	Atlantic	(27.25,27.5]	0.8967392	0.8780711	0.9154073
sal	Atlantic	(27.5,27.75]	0.7810950	0.7779913	0.7841986
sal	Atlantic	(27.75,27.85]	0.6274774	0.6186952	0.6362595
sal	Atlantic	(27.85,27.95]	0.4428405	0.4337467	0.4519342
sal	Atlantic	(27.95,28.05]	0.6189514	0.6150878	0.6228150
sal	Atlantic	(28.05,28.1]	0.6646790	0.6579159	0.6714420
sal	Atlantic	(28.1,28.15]	0.7526202	0.7510571	0.7541832
sal	Atlantic	(28.15,28.2]	0.9146160	0.9084402	0.9207918
sal	Atlantic	(28.2, Inf]	0.9289125	0.9125040	0.9453210
sal	Indo-Pacific	(-Inf,26]	0.0183191	-0.0020472	0.0386854
sal	Indo-Pacific	(26,26.5]	0.6003019	0.5652449	0.6353590
sal	Indo-Pacific	(26.5,26.75]	0.6940904	0.6595205	0.7286604
sal	Indo-Pacific	(26.75,27]	0.5879771	0.5287411	0.6472130
sal	Indo-Pacific	(27,27.25]	-0.1971370	-0.2946744	-0.0995996
sal	Indo-Pacific	(27.25,27.5]	-0.3854558	-0.4470770	-0.3238347
sal	Indo-Pacific	(27.5,27.75]	-0.2571633	-0.2899482	-0.2243784
sal	Indo-Pacific	(27.75,27.85]	-0.3461256	-0.3556304	-0.3366208
sal	Indo-Pacific	(27.85,27.95]	-0.2838095	-0.3154490	-0.2521701
sal	Indo-Pacific	(27.95,28.05]	-0.0521537	-0.0840637	-0.0202436
sal	Indo-Pacific	(28.05,28.1]	0.0700803	0.0035237	0.1366368
sal	Indo-Pacific	(28.1,28.2]	0.1454697	0.0863204	0.2046191
sal	Indo-Pacific	(28.2,28.3]	0.1060247	0.0893152	0.1227342
sal	Indo-Pacific	(28.3,28.4]	0.2275148	0.1668563	0.2881732
sal	Indo-Pacific	(28.4, Inf]	NA	NA	NA
silicate	Atlantic	(-Inf,26]	-0.0398872	-0.0622211	-0.0175533
silicate	Atlantic	(26,26.5]	-0.4773965	-0.5244300	-0.4303631
silicate	Atlantic	(26.5,26.75]	-0.5825841	-0.6352985	-0.5298697
silicate	Atlantic	(26.75,27]	-0.6314670	-0.6454839	-0.6174502
silicate	Atlantic	(27,27.25]	-0.8304269	-0.8552293	-0.8056245
silicate	Atlantic	(27.25,27.5]	-0.9060139	-0.9151556	-0.8968722
silicate	Atlantic	(27.5,27.75]	-0.8822432	-0.8929271	-0.8715592
silicate	Atlantic	(27.75,27.85]	-0.8966575	-0.9049734	-0.8883416
silicate	Atlantic	(27.85,27.95]	-0.8744006	-0.8760602	-0.8727409
silicate	Atlantic	(27.95,28.05]	-0.8641868	-0.8680361	-0.8603374
silicate	Atlantic	(28.05,28.1]	-0.8558140	-0.8598255	-0.8518025
silicate	Atlantic	(28.1,28.15]	-0.8852222	-0.8852607	-0.8851838
silicate	Atlantic	(28.15,28.2]	-0.9665651	-0.9687167	-0.9644135
silicate	Atlantic	(28.2, Inf]	-0.9208503	-0.9464321	-0.8952685
silicate	Indo-Pacific	(-Inf,26]	-0.1229053	-0.1246767	-0.1211339
silicate	Indo-Pacific	(26,26.5]	-0.7387990	-0.7419644	-0.7356336
silicate	Indo-Pacific	(26.5,26.75]	-0.7655236	-0.7665330	-0.7645141
silicate	Indo-Pacific	(26.75,27]	-0.6673769	-0.6727979	-0.6619560
silicate	Indo-Pacific	(27,27.25]	0.2579957	0.2575094	0.2584820
silicate	Indo-Pacific	(27.25,27.5]	0.7891004	0.7796735	0.7985274
silicate	Indo-Pacific	(27.5,27.75]	0.8673126	0.8659134	0.8687119
silicate	Indo-Pacific	(27.75,27.85]	0.8327377	0.8272376	0.8382378
silicate	Indo-Pacific	(27.85,27.95]	0.7438207	0.7289220	0.7587194
silicate	Indo-Pacific	(27.95,28.05]	0.4831559	0.4317210	0.5345908
silicate	Indo-Pacific	(28.05,28.1]	0.1933710	0.1165353	0.2702066
silicate	Indo-Pacific	(28.1,28.2]	0.1259169	0.0100362	0.2417976
silicate	Indo-Pacific	(28.2,28.3]	-0.1291951	-0.1483484	-0.1100418
silicate	Indo-Pacific	(28.3,28.4]	-0.5012000	-0.5298317	-0.4725683
silicate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
temp	Atlantic	(-Inf,26]	0.1579896	0.1444025	0.1715767
temp	Atlantic	(26,26.5]	0.6553287	0.6528410	0.6578164
temp	Atlantic	(26.5,26.75]	0.7154757	0.7029057	0.7280458
temp	Atlantic	(26.75,27]	0.8744587	0.8671276	0.8817898
temp	Atlantic	(27,27.25]	0.8856283	0.8843584	0.8868983
temp	Atlantic	(27.25,27.5]	0.8705882	0.8516536	0.8895228
temp	Atlantic	(27.5,27.75]	0.7455134	0.7338597	0.7571671
temp	Atlantic	(27.75,27.85]	0.6265329	0.6122869	0.6407789
temp	Atlantic	(27.85,27.95]	0.4557979	0.4504228	0.4611730
temp	Atlantic	(27.95,28.05]	0.5753184	0.5668050	0.5838318
temp	Atlantic	(28.05,28.1]	0.5734362	0.5648510	0.5820214
temp	Atlantic	(28.1,28.15]	0.6099762	0.5998660	0.6200865
temp	Atlantic	(28.15,28.2]	0.6865563	0.6583321	0.7147805
temp	Atlantic	(28.2, Inf]	0.1489533	0.0467612	0.2511454
temp	Indo-Pacific	(-Inf,26]	-0.3681294	-0.3699366	-0.3663221
temp	Indo-Pacific	(26,26.5]	0.6010334	0.5776529	0.6244139
temp	Indo-Pacific	(26.5,26.75]	0.6732423	0.6363836	0.7101010
temp	Indo-Pacific	(26.75,27]	0.6134287	0.5578245	0.6690330
temp	Indo-Pacific	(27,27.25]	-0.0678355	-0.1669234	0.0312523
temp	Indo-Pacific	(27.25,27.5]	-0.3512454	-0.4004579	-0.3020329
temp	Indo-Pacific	(27.5,27.75]	-0.3043252	-0.3277992	-0.2808512
temp	Indo-Pacific	(27.75,27.85]	-0.2627458	-0.2716339	-0.2538577
temp	Indo-Pacific	(27.85,27.95]	-0.1580512	-0.1711265	-0.1449760
temp	Indo-Pacific	(27.95,28.05]	0.0423946	0.0418031	0.0429860
temp	Indo-Pacific	(28.05,28.1]	0.1847568	0.1804309	0.1890826
temp	Indo-Pacific	(28.1,28.2]	0.2613663	0.1729122	0.3498203
temp	Indo-Pacific	(28.2,28.3]	0.0715212	0.0387026	0.1043397
temp	Indo-Pacific	(28.3,28.4]	0.0959791	0.0314007	0.1605575
temp	Indo-Pacific	(28.4, Inf]	NA	NA	NA

rm(cor_target_predictor, cor_target_predictor_stats)

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

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_0.7.5      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    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_1.4-1         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_2.1.0               
[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_0.4.10            
[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_1.5             Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          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