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	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit
html	bc61ce3	Jens Müller	2020-11-30	Initial commit

---

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
969e631	jens-daniel-mueller	2021-05-12
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
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03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
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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
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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

[[2]]

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
969e631	jens-daniel-mueller	2021-05-12
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
969e631	jens-daniel-mueller	2021-05-12
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
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
969e631	jens-daniel-mueller	2021-05-12
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
969e631	jens-daniel-mueller	2021-05-12
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]	0.9043409	0.9028202	0.9058615
aou + nitrate	Atlantic	(26,26.5]	0.8711026	0.8584814	0.8837239
aou + nitrate	Atlantic	(26.5,26.75]	0.9284253	0.9216104	0.9352402
aou + nitrate	Atlantic	(26.75,27]	0.9065015	0.9045454	0.9084576
aou + nitrate	Atlantic	(27,27.25]	0.8542262	0.8476239	0.8608286
aou + nitrate	Atlantic	(27.25,27.5]	0.7437430	0.7405897	0.7468962
aou + nitrate	Atlantic	(27.5,27.75]	0.8580580	0.8427847	0.8733313
aou + nitrate	Atlantic	(27.75,27.85]	0.9455215	0.9343347	0.9567083
aou + nitrate	Atlantic	(27.85,27.95]	0.9493874	0.9402004	0.9585744
aou + nitrate	Atlantic	(27.95,28.05]	0.9519431	0.9455830	0.9583033
aou + nitrate	Atlantic	(28.05,28.1]	0.9523782	0.9438589	0.9608975
aou + nitrate	Atlantic	(28.1,28.15]	0.9736931	0.9661421	0.9812441
aou + nitrate	Atlantic	(28.15,28.2]	0.9787766	0.9689727	0.9885805
aou + nitrate	Atlantic	(28.2, Inf]	0.8201982	0.7694677	0.8709287
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9070948	0.8940339	0.9201558
aou + nitrate	Indo-Pacific	(26,26.5]	0.9045132	0.9014977	0.9075286
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9174179	0.9166548	0.9181809
aou + nitrate	Indo-Pacific	(26.75,27]	0.9437732	0.9423979	0.9451485
aou + nitrate	Indo-Pacific	(27,27.25]	0.9648446	0.9644476	0.9652416
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9709572	0.9685493	0.9733652
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9725757	0.9717889	0.9733624
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9811907	0.9805885	0.9817928
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9784975	0.9769795	0.9800154
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9642845	0.9628356	0.9657334
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9591271	0.9573169	0.9609372
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9232865	0.9184638	0.9281091
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.4248388	0.3753480	0.4743296
aou + nitrate	Indo-Pacific	(28.3,28.4]	0.3092118	0.2542211	0.3642025
aou + phosphate	Atlantic	(-Inf,26]	0.4700491	0.3518305	0.5882677
aou + phosphate	Atlantic	(26,26.5]	0.6871146	0.6511083	0.7231210
aou + phosphate	Atlantic	(26.5,26.75]	0.8349795	0.8281143	0.8418447
aou + phosphate	Atlantic	(26.75,27]	0.8264150	0.8214980	0.8313319
aou + phosphate	Atlantic	(27,27.25]	0.7957151	0.7779728	0.8134574
aou + phosphate	Atlantic	(27.25,27.5]	0.6892031	0.6811543	0.6972519
aou + phosphate	Atlantic	(27.5,27.75]	0.8348886	0.8172123	0.8525648
aou + phosphate	Atlantic	(27.75,27.85]	0.9329170	0.9172137	0.9486204
aou + phosphate	Atlantic	(27.85,27.95]	0.9426187	0.9329143	0.9523231
aou + phosphate	Atlantic	(27.95,28.05]	0.9467649	0.9399781	0.9535517
aou + phosphate	Atlantic	(28.05,28.1]	0.9442969	0.9345227	0.9540712
aou + phosphate	Atlantic	(28.1,28.15]	0.9694854	0.9619778	0.9769931
aou + phosphate	Atlantic	(28.15,28.2]	0.9786524	0.9685222	0.9887826
aou + phosphate	Atlantic	(28.2, Inf]	0.8155101	0.7630549	0.8679653
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9257652	0.9117014	0.9398291
aou + phosphate	Indo-Pacific	(26,26.5]	0.9551465	0.9501097	0.9601833
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9505123	0.9481141	0.9529106
aou + phosphate	Indo-Pacific	(26.75,27]	0.9501548	0.9455693	0.9547403
aou + phosphate	Indo-Pacific	(27,27.25]	0.9719701	0.9691735	0.9747667
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9790889	0.9784560	0.9797218
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9806112	0.9798940	0.9813285
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9844759	0.9843415	0.9846103
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9803860	0.9794926	0.9812794
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9679101	0.9673314	0.9684888
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9589789	0.9588268	0.9591309
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9133213	0.9095940	0.9170486
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.3198359	0.2815973	0.3580745
aou + phosphate	Indo-Pacific	(28.3,28.4]	0.3762417	0.3147472	0.4377361
aou + phosphate_star	Atlantic	(-Inf,26]	-0.4359041	-0.4839213	-0.3878870
aou + phosphate_star	Atlantic	(26,26.5]	0.2065713	0.1302369	0.2829057
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4046481	0.4017378	0.4075584
aou + phosphate_star	Atlantic	(26.75,27]	0.1501924	0.0863855	0.2139993
aou + phosphate_star	Atlantic	(27,27.25]	0.1892478	0.0833953	0.2951002
aou + phosphate_star	Atlantic	(27.25,27.5]	0.1606274	0.1198758	0.2013790
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5250339	0.4910591	0.5590088
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6999096	0.6411642	0.7586551
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6888472	0.6482767	0.7294177
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7846492	0.7630898	0.8062086
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8064749	0.7778453	0.8351045
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8879249	0.8622183	0.9136316
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9217751	0.8833075	0.9602427
aou + phosphate_star	Atlantic	(28.2, Inf]	0.4996604	0.3544421	0.6448787
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6214543	0.5645908	0.6783178
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6326704	0.6247440	0.6405968
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5503961	0.5404963	0.5602958
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.4707564	0.4703239	0.4711890
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1647181	0.1249446	0.2044916
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4175092	-0.4286451	-0.4063733
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6191931	-0.6302986	-0.6080875
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5091134	-0.5384785	-0.4797483
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1812503	-0.2023974	-0.1601031
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1764098	0.1243865	0.2284331
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3723161	0.3312849	0.4133473
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.1277722	-0.1834067	-0.0721377
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.8117089	-0.8488172	-0.7746005
aou + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8649156	-0.8761786	-0.8536526
aou + silicate	Atlantic	(-Inf,26]	0.1927613	0.1809403	0.2045823
aou + silicate	Atlantic	(26,26.5]	0.6062223	0.5714090	0.6410357
aou + silicate	Atlantic	(26.5,26.75]	0.7497989	0.7397063	0.7598915
aou + silicate	Atlantic	(26.75,27]	0.8195634	0.8012764	0.8378504
aou + silicate	Atlantic	(27,27.25]	0.7693312	0.7505401	0.7881223
aou + silicate	Atlantic	(27.25,27.5]	0.4972399	0.4782304	0.5162493
aou + silicate	Atlantic	(27.5,27.75]	0.6598900	0.6492506	0.6705294
aou + silicate	Atlantic	(27.75,27.85]	0.8624797	0.8486305	0.8763290
aou + silicate	Atlantic	(27.85,27.95]	0.8893890	0.8766599	0.9021180
aou + silicate	Atlantic	(27.95,28.05]	0.9353077	0.9299482	0.9406672
aou + silicate	Atlantic	(28.05,28.1]	0.9553887	0.9479641	0.9628132
aou + silicate	Atlantic	(28.1,28.15]	0.9751968	0.9720261	0.9783674
aou + silicate	Atlantic	(28.15,28.2]	0.9845765	0.9808898	0.9882632
aou + silicate	Atlantic	(28.2, Inf]	0.8259158	0.7678665	0.8839650
aou + silicate	Indo-Pacific	(-Inf,26]	0.7008743	0.6853920	0.7163565
aou + silicate	Indo-Pacific	(26,26.5]	0.6577727	0.6406450	0.6749003
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6721570	0.6625147	0.6817993
aou + silicate	Indo-Pacific	(26.75,27]	0.7660421	0.7575207	0.7745636
aou + silicate	Indo-Pacific	(27,27.25]	0.8931553	0.8805654	0.9057452
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9243021	0.9131592	0.9354449
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9439950	0.9382553	0.9497346
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9717610	0.9711383	0.9723836
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9666212	0.9665516	0.9666909
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9521224	0.9519749	0.9522699
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9530016	0.9507302	0.9552729
aou + silicate	Indo-Pacific	(28.1,28.2]	0.8882522	0.8803106	0.8961938
aou + silicate	Indo-Pacific	(28.2,28.3]	0.6148276	0.6107929	0.6188623
aou + silicate	Indo-Pacific	(28.3,28.4]	0.4970767	0.4576949	0.5364585
nitrate + phosphate	Atlantic	(-Inf,26]	0.6766492	0.5443583	0.8089401
nitrate + phosphate	Atlantic	(26,26.5]	0.9185939	0.9076566	0.9295311
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9700454	0.9685552	0.9715356
nitrate + phosphate	Atlantic	(26.75,27]	0.9810791	0.9798657	0.9822925
nitrate + phosphate	Atlantic	(27,27.25]	0.9883942	0.9870098	0.9897786
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9924022	0.9922826	0.9925217
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9941557	0.9928626	0.9954487
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9948037	0.9931806	0.9964268
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9915630	0.9886792	0.9944467
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9926512	0.9906841	0.9946183
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9925949	0.9911667	0.9940230
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9965381	0.9961029	0.9969733
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9971331	0.9970863	0.9971800
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9942446	0.9927660	0.9957232
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9605507	0.9582433	0.9628581
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9555889	0.9513445	0.9598332
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9659823	0.9635210	0.9684437
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9871666	0.9855244	0.9888087
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9898764	0.9881072	0.9916457
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9923694	0.9917962	0.9929425
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9914608	0.9911312	0.9917903
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9912423	0.9907458	0.9917389
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9912154	0.9901573	0.9922736
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9855215	0.9835911	0.9874520
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9842296	0.9819070	0.9865522
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9724810	0.9666705	0.9782914
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.5925973	0.5921793	0.5930152
nitrate + phosphate	Indo-Pacific	(28.3,28.4]	0.6510210	0.6136227	0.6884192
nitrate + phosphate_star	Atlantic	(-Inf,26]	-0.1360073	-0.2204426	-0.0515721
nitrate + phosphate_star	Atlantic	(26,26.5]	0.6109908	0.5664047	0.6555769
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.6972800	0.6861243	0.7084357
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5429487	0.4924172	0.5934802
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6605101	0.5906098	0.7304105
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7717705	0.7493120	0.7942290
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8751577	0.8694004	0.8809150
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8833755	0.8610395	0.9057114
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8649137	0.8478454	0.8819820
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9229177	0.9150793	0.9307561
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9364115	0.9282433	0.9445797
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9628445	0.9566235	0.9690654
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9757122	0.9662393	0.9851852
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.8940835	0.8582809	0.9298860
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8506584	0.8288306	0.8724863
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.8287557	0.8211731	0.8363383
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7700295	0.7583715	0.7816875
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7029141	0.6954040	0.7104241
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.3798135	0.3483657	0.4112613
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2197798	-0.2398822	-0.1996774
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4456709	-0.4534840	-0.4378578
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3667294	-0.3988786	-0.3345802
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0119788	-0.0369794	0.0130218
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3806764	0.3345631	0.4267898
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5775118	0.5439104	0.6111132
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2081271	0.1533179	0.2629362
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.0364295	-0.1171456	0.0442867
nitrate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.0257167	-0.0023409	0.0537744
nitrate + silicate	Atlantic	(-Inf,26]	0.4335036	0.4253691	0.4416380
nitrate + silicate	Atlantic	(26,26.5]	0.8396047	0.8298437	0.8493658
nitrate + silicate	Atlantic	(26.5,26.75]	0.8738664	0.8655449	0.8821879
nitrate + silicate	Atlantic	(26.75,27]	0.9084349	0.9005767	0.9162932
nitrate + silicate	Atlantic	(27,27.25]	0.9302366	0.9187650	0.9417081
nitrate + silicate	Atlantic	(27.25,27.5]	0.8838833	0.8684205	0.8993460
nitrate + silicate	Atlantic	(27.5,27.75]	0.8992098	0.8955250	0.9028946
nitrate + silicate	Atlantic	(27.75,27.85]	0.9612326	0.9603585	0.9621067
nitrate + silicate	Atlantic	(27.85,27.95]	0.9730299	0.9720256	0.9740342
nitrate + silicate	Atlantic	(27.95,28.05]	0.9839385	0.9836007	0.9842764
nitrate + silicate	Atlantic	(28.05,28.1]	0.9900293	0.9894422	0.9906163
nitrate + silicate	Atlantic	(28.1,28.15]	0.9920334	0.9914587	0.9926081
nitrate + silicate	Atlantic	(28.15,28.2]	0.9909212	0.9896945	0.9921479
nitrate + silicate	Atlantic	(28.2, Inf]	0.9695603	0.9622599	0.9768607
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8689127	0.8670937	0.8707317
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8198883	0.8076779	0.8320987
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8279407	0.8194449	0.8364366
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8519708	0.8443635	0.8595780
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9059857	0.8917039	0.9202676
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9012921	0.8848619	0.9177224
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9117108	0.9028266	0.9205951
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9559363	0.9548276	0.9570450
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9647307	0.9636697	0.9657916
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9505307	0.9458929	0.9551684
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9557967	0.9533251	0.9582683
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9095164	0.9030549	0.9159779
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.5730799	0.5214871	0.6246728
nitrate + silicate	Indo-Pacific	(28.3,28.4]	0.7170854	0.6992089	0.7349619
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5702691	0.5035072	0.6370309
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8498351	0.8351427	0.8645275
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8393656	0.8342935	0.8444378
phosphate + phosphate_star	Atlantic	(26.75,27]	0.6793126	0.6384520	0.7201731
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7427176	0.6904147	0.7950206
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8244886	0.8074702	0.8415070
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9036106	0.9002147	0.9070064
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9078765	0.8918308	0.9239222
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8894042	0.8768172	0.9019913
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9407536	0.9358479	0.9456593
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9551124	0.9495447	0.9606802
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9730241	0.9672412	0.9788070
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9813037	0.9718253	0.9907820
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9059002	0.8735762	0.9382242
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8534628	0.8355742	0.8713514
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8310311	0.8271942	0.8348681
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7805543	0.7683664	0.7927422
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7202129	0.7102831	0.7301427
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3874181	0.3619925	0.4128436
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2348138	-0.2480850	-0.2215425
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4680203	-0.4784520	-0.4575886
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3618218	-0.3946690	-0.3289747
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0071838	-0.0188414	0.0332089
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4129517	0.3671258	0.4587775
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6173093	0.5831458	0.6514727
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2824981	0.2203467	0.3446495
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.2761082	0.2522745	0.2999420
phosphate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.1355979	0.0925131	0.1786828
sal + aou	Atlantic	(-Inf,26]	0.3605456	0.3027950	0.4182961
sal + aou	Atlantic	(26,26.5]	-0.1021772	-0.1601075	-0.0442468
sal + aou	Atlantic	(26.5,26.75]	-0.3213687	-0.3239833	-0.3187542
sal + aou	Atlantic	(26.75,27]	-0.1109510	-0.1696881	-0.0522139
sal + aou	Atlantic	(27,27.25]	-0.2020115	-0.3036417	-0.1003813
sal + aou	Atlantic	(27.25,27.5]	-0.1660661	-0.2034134	-0.1287187
sal + aou	Atlantic	(27.5,27.75]	-0.3793974	-0.4271792	-0.3316155
sal + aou	Atlantic	(27.75,27.85]	-0.4283350	-0.5115865	-0.3450835
sal + aou	Atlantic	(27.85,27.95]	-0.3762676	-0.4653418	-0.2871935
sal + aou	Atlantic	(27.95,28.05]	-0.6231737	-0.6705219	-0.5758255
sal + aou	Atlantic	(28.05,28.1]	-0.6724398	-0.7186509	-0.6262287
sal + aou	Atlantic	(28.1,28.15]	-0.7978471	-0.8319390	-0.7637552
sal + aou	Atlantic	(28.15,28.2]	-0.8668741	-0.9254818	-0.8082664
sal + aou	Atlantic	(28.2, Inf]	-0.5550630	-0.6625380	-0.4475881
sal + aou	Indo-Pacific	(-Inf,26]	-0.0597361	-0.0726708	-0.0468015
sal + aou	Indo-Pacific	(26,26.5]	-0.2153971	-0.2507322	-0.1800620
sal + aou	Indo-Pacific	(26.5,26.75]	-0.3182398	-0.3511807	-0.2852988
sal + aou	Indo-Pacific	(26.75,27]	-0.3224674	-0.3462253	-0.2987096
sal + aou	Indo-Pacific	(27,27.25]	-0.1674997	-0.1691860	-0.1658135
sal + aou	Indo-Pacific	(27.25,27.5]	0.0514290	0.0323106	0.0705473
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0224261	-0.0297747	-0.0150775
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1942262	-0.1965381	-0.1919143
sal + aou	Indo-Pacific	(27.85,27.95]	-0.2974192	-0.3178764	-0.2769619
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3652235	-0.3809630	-0.3494840
sal + aou	Indo-Pacific	(28.05,28.1]	-0.4167069	-0.4199821	-0.4134316
sal + aou	Indo-Pacific	(28.1,28.2]	-0.0687132	-0.0694960	-0.0679305
sal + aou	Indo-Pacific	(28.2,28.3]	0.8745453	0.8620744	0.8870162
sal + aou	Indo-Pacific	(28.3,28.4]	0.8247371	0.8144755	0.8349987
sal + nitrate	Atlantic	(-Inf,26]	0.1201174	0.0456404	0.1945945
sal + nitrate	Atlantic	(26,26.5]	-0.4742897	-0.5106957	-0.4378837
sal + nitrate	Atlantic	(26.5,26.75]	-0.6083803	-0.6197064	-0.5970542
sal + nitrate	Atlantic	(26.75,27]	-0.4945522	-0.5424981	-0.4466063
sal + nitrate	Atlantic	(27,27.25]	-0.6562386	-0.7228915	-0.5895857
sal + nitrate	Atlantic	(27.25,27.5]	-0.7555393	-0.7764686	-0.7346100
sal + nitrate	Atlantic	(27.5,27.75]	-0.7238599	-0.7386095	-0.7091103
sal + nitrate	Atlantic	(27.75,27.85]	-0.6337226	-0.6696290	-0.5978162
sal + nitrate	Atlantic	(27.85,27.95]	-0.5963972	-0.6551895	-0.5376048
sal + nitrate	Atlantic	(27.95,28.05]	-0.7903079	-0.8163204	-0.7642953
sal + nitrate	Atlantic	(28.05,28.1]	-0.8323850	-0.8522281	-0.8125420
sal + nitrate	Atlantic	(28.1,28.15]	-0.8918742	-0.9028800	-0.8808684
sal + nitrate	Atlantic	(28.15,28.2]	-0.9309849	-0.9511164	-0.9108534
sal + nitrate	Atlantic	(28.2, Inf]	-0.9095000	-0.9293642	-0.8896359
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3317796	-0.3503297	-0.3132295
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5244382	-0.5659951	-0.4828813
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.6019690	-0.6325955	-0.5713425
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5583411	-0.5862449	-0.5304373
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3287701	-0.3348471	-0.3226932
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0466749	-0.0602086	-0.0331412
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.1251072	-0.1265869	-0.1236274
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2872688	-0.2931783	-0.2813594
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4150756	-0.4294892	-0.4006619
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.5338104	-0.5469816	-0.5206393
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.6123034	-0.6148381	-0.6097687
sal + nitrate	Indo-Pacific	(28.1,28.2]	-0.3679523	-0.3709319	-0.3649728
sal + nitrate	Indo-Pacific	(28.2,28.3]	0.3113255	0.2462162	0.3764348
sal + nitrate	Indo-Pacific	(28.3,28.4]	0.1415830	0.0638348	0.2193311
sal + phosphate	Atlantic	(-Inf,26]	-0.4490893	-0.4566654	-0.4415132
sal + phosphate	Atlantic	(26,26.5]	-0.7567153	-0.7632023	-0.7502283
sal + phosphate	Atlantic	(26.5,26.75]	-0.7674903	-0.7735452	-0.7614354
sal + phosphate	Atlantic	(26.75,27]	-0.6374573	-0.6763076	-0.5986070
sal + phosphate	Atlantic	(27,27.25]	-0.7367553	-0.7845147	-0.6889960
sal + phosphate	Atlantic	(27.25,27.5]	-0.8048075	-0.8191286	-0.7904864
sal + phosphate	Atlantic	(27.5,27.75]	-0.7608873	-0.7744620	-0.7473125
sal + phosphate	Atlantic	(27.75,27.85]	-0.6661895	-0.6996206	-0.6327585
sal + phosphate	Atlantic	(27.85,27.95]	-0.6142118	-0.6752029	-0.5532206
sal + phosphate	Atlantic	(27.95,28.05]	-0.8026332	-0.8301873	-0.7750791
sal + phosphate	Atlantic	(28.05,28.1]	-0.8488500	-0.8682286	-0.8294715
sal + phosphate	Atlantic	(28.1,28.15]	-0.9033509	-0.9152266	-0.8914751
sal + phosphate	Atlantic	(28.15,28.2]	-0.9369518	-0.9581855	-0.9157181
sal + phosphate	Atlantic	(28.2, Inf]	-0.9162701	-0.9329762	-0.8995641
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1529018	-0.1757398	-0.1300639
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4424422	-0.4916909	-0.3931935
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.5624451	-0.5956322	-0.5292579
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5670878	-0.5987388	-0.5354369
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3327021	-0.3446911	-0.3207132
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0236886	-0.0320955	-0.0152817
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0707829	-0.0722443	-0.0693215
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2326142	-0.2402956	-0.2249327
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3819477	-0.3969669	-0.3669285
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5232340	-0.5316569	-0.5148111
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6041142	-0.6048424	-0.6033861
sal + phosphate	Indo-Pacific	(28.1,28.2]	-0.3707656	-0.3750484	-0.3664828
sal + phosphate	Indo-Pacific	(28.2,28.3]	0.2066960	0.1722466	0.2411454
sal + phosphate	Indo-Pacific	(28.3,28.4]	0.2153666	0.1329493	0.2977839
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8750267	-0.9124760	-0.8375774
sal + phosphate_star	Atlantic	(26,26.5]	-0.9602483	-0.9616491	-0.9588475
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9740651	-0.9743299	-0.9738004
sal + phosphate_star	Atlantic	(26.75,27]	-0.9812749	-0.9824879	-0.9800619
sal + phosphate_star	Atlantic	(27,27.25]	-0.9805507	-0.9813635	-0.9797379
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9737718	-0.9741905	-0.9733532
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9177359	-0.9203769	-0.9150948
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8670055	-0.8679412	-0.8660699
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8524565	-0.8808769	-0.8240361
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9178769	-0.9311887	-0.9045651
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9418893	-0.9491699	-0.9346087
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9622168	-0.9648993	-0.9595343
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9735957	-0.9762658	-0.9709255
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9745156	-0.9787119	-0.9703193
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4249007	-0.4714198	-0.3783816
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7991860	-0.8296684	-0.7687037
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9091923	-0.9152063	-0.9031782
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9254984	-0.9310926	-0.9199041
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8394711	-0.8469289	-0.8320134
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5738245	-0.6055510	-0.5420979
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3796816	-0.4137622	-0.3456010
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3516233	-0.3836160	-0.3196307
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5608282	-0.5887461	-0.5329102
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7952556	-0.7972300	-0.7932812
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8708774	-0.8726105	-0.8691443
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.7871531	-0.7974043	-0.7769019
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7588108	-0.7976279	-0.7199936
sal + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.7648312	-0.7759142	-0.7537482
sal + silicate	Atlantic	(-Inf,26]	-0.6649407	-0.7539923	-0.5758892
sal + silicate	Atlantic	(26,26.5]	-0.7123975	-0.7276288	-0.6971663
sal + silicate	Atlantic	(26.5,26.75]	-0.6859040	-0.6942323	-0.6775757
sal + silicate	Atlantic	(26.75,27]	-0.4793930	-0.5485910	-0.4101950
sal + silicate	Atlantic	(27,27.25]	-0.6719240	-0.7357240	-0.6081239
sal + silicate	Atlantic	(27.25,27.5]	-0.8097868	-0.8310398	-0.7885338
sal + silicate	Atlantic	(27.5,27.75]	-0.7418759	-0.7649098	-0.7188421
sal + silicate	Atlantic	(27.75,27.85]	-0.6931802	-0.7351456	-0.6512149
sal + silicate	Atlantic	(27.85,27.95]	-0.6880769	-0.7440294	-0.6321243
sal + silicate	Atlantic	(27.95,28.05]	-0.8237451	-0.8503727	-0.7971174
sal + silicate	Atlantic	(28.05,28.1]	-0.8372229	-0.8595383	-0.8149075
sal + silicate	Atlantic	(28.1,28.15]	-0.8878002	-0.9067076	-0.8688927
sal + silicate	Atlantic	(28.15,28.2]	-0.9014571	-0.9347051	-0.8682091
sal + silicate	Atlantic	(28.2, Inf]	-0.8543246	-0.8762464	-0.8324028
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5474602	-0.5503492	-0.5445713
sal + silicate	Indo-Pacific	(26,26.5]	-0.6706062	-0.6716761	-0.6695364
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.7977339	-0.8043308	-0.7911371
sal + silicate	Indo-Pacific	(26.75,27]	-0.7573657	-0.7612695	-0.7534618
sal + silicate	Indo-Pacific	(27,27.25]	-0.5078263	-0.5244463	-0.4912064
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1933176	-0.2298814	-0.1567537
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0978683	-0.1110074	-0.0847292
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2466312	-0.2495669	-0.2436954
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3467287	-0.3633935	-0.3300640
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4306711	-0.4398333	-0.4215089
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5045625	-0.5063408	-0.5027843
sal + silicate	Indo-Pacific	(28.1,28.2]	-0.1710103	-0.1746992	-0.1673214
sal + silicate	Indo-Pacific	(28.2,28.3]	0.6172693	0.6141873	0.6203513
sal + silicate	Indo-Pacific	(28.3,28.4]	0.2980745	0.2348793	0.3612698
sal + temp	Atlantic	(-Inf,26]	0.9543551	0.9393582	0.9693521
sal + temp	Atlantic	(26,26.5]	0.9655684	0.9632325	0.9679043
sal + temp	Atlantic	(26.5,26.75]	0.9906144	0.9901658	0.9910630
sal + temp	Atlantic	(26.75,27]	0.9825561	0.9818476	0.9832646
sal + temp	Atlantic	(27,27.25]	0.9803812	0.9789441	0.9818184
sal + temp	Atlantic	(27.25,27.5]	0.9747949	0.9733570	0.9762327
sal + temp	Atlantic	(27.5,27.75]	0.9681768	0.9650247	0.9713289
sal + temp	Atlantic	(27.75,27.85]	0.9807040	0.9795223	0.9818858
sal + temp	Atlantic	(27.85,27.95]	0.9445659	0.9440852	0.9450467
sal + temp	Atlantic	(27.95,28.05]	0.9304896	0.9264786	0.9345006
sal + temp	Atlantic	(28.05,28.1]	0.9690632	0.9684971	0.9696293
sal + temp	Atlantic	(28.1,28.15]	0.9642081	0.9639271	0.9644890
sal + temp	Atlantic	(28.15,28.2]	0.8958322	0.8856063	0.9060581
sal + temp	Atlantic	(28.2, Inf]	0.3172968	0.1903930	0.4442006
sal + temp	Indo-Pacific	(-Inf,26]	0.7021746	0.6896474	0.7147018
sal + temp	Indo-Pacific	(26,26.5]	0.9383561	0.9326297	0.9440825
sal + temp	Indo-Pacific	(26.5,26.75]	0.9819497	0.9809671	0.9829324
sal + temp	Indo-Pacific	(26.75,27]	0.9783841	0.9774263	0.9793418
sal + temp	Indo-Pacific	(27,27.25]	0.9427782	0.9408914	0.9446650
sal + temp	Indo-Pacific	(27.25,27.5]	0.8522783	0.8516642	0.8528923
sal + temp	Indo-Pacific	(27.5,27.75]	0.6804883	0.6741847	0.6867920
sal + temp	Indo-Pacific	(27.75,27.85]	0.8315033	0.8251557	0.8378508
sal + temp	Indo-Pacific	(27.85,27.95]	0.7655393	0.7516174	0.7794612
sal + temp	Indo-Pacific	(27.95,28.05]	0.7297862	0.7290197	0.7305526
sal + temp	Indo-Pacific	(28.05,28.1]	0.7063788	0.6974111	0.7153464
sal + temp	Indo-Pacific	(28.1,28.2]	0.4500604	0.4307212	0.4693997
sal + temp	Indo-Pacific	(28.2,28.3]	0.8248344	0.8218252	0.8278436
sal + temp	Indo-Pacific	(28.3,28.4]	0.7971271	0.7724182	0.8218359
silicate + phosphate	Atlantic	(-Inf,26]	0.6865295	0.5750871	0.7979719
silicate + phosphate	Atlantic	(26,26.5]	0.9080998	0.9066731	0.9095265
silicate + phosphate	Atlantic	(26.5,26.75]	0.8869720	0.8839498	0.8899942
silicate + phosphate	Atlantic	(26.75,27]	0.9069500	0.9065383	0.9073617
silicate + phosphate	Atlantic	(27,27.25]	0.9419454	0.9332611	0.9506296
silicate + phosphate	Atlantic	(27.25,27.5]	0.9084209	0.8965602	0.9202816
silicate + phosphate	Atlantic	(27.5,27.75]	0.9128343	0.9103580	0.9153107
silicate + phosphate	Atlantic	(27.75,27.85]	0.9652840	0.9649627	0.9656054
silicate + phosphate	Atlantic	(27.85,27.95]	0.9746329	0.9718657	0.9774001
silicate + phosphate	Atlantic	(27.95,28.05]	0.9844940	0.9825956	0.9863925
silicate + phosphate	Atlantic	(28.05,28.1]	0.9891149	0.9873925	0.9908372
silicate + phosphate	Atlantic	(28.1,28.15]	0.9927746	0.9918129	0.9937362
silicate + phosphate	Atlantic	(28.15,28.2]	0.9892370	0.9877457	0.9907283
silicate + phosphate	Atlantic	(28.2, Inf]	0.9682446	0.9603230	0.9761663
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7608108	0.7573456	0.7642760
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7578419	0.7400355	0.7756483
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7996297	0.7904358	0.8088237
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8577156	0.8480961	0.8673351
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9136892	0.8985874	0.9287909
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9070390	0.8901084	0.9239697
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9132367	0.9029684	0.9235050
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9591651	0.9573086	0.9610217
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9705664	0.9700471	0.9710856
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9635456	0.9628383	0.9642530
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9608445	0.9607801	0.9609089
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.9017667	0.8972958	0.9062376
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.4525823	0.4389126	0.4662521
silicate + phosphate	Indo-Pacific	(28.3,28.4]	0.6500483	0.6377236	0.6623729
silicate + phosphate_star	Atlantic	(-Inf,26]	0.5867787	0.4262787	0.7472788
silicate + phosphate_star	Atlantic	(26,26.5]	0.7896876	0.7723422	0.8070331
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7487826	0.7423925	0.7551728
silicate + phosphate_star	Atlantic	(26.75,27]	0.5265227	0.4569586	0.5960867
silicate + phosphate_star	Atlantic	(27,27.25]	0.6816144	0.6190974	0.7441315
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8562605	0.8378520	0.8746689
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9074280	0.8993306	0.9155253
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9229817	0.9032992	0.9426642
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9154029	0.9019626	0.9288432
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9321422	0.9239341	0.9403503
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9299268	0.9202110	0.9396427
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9554363	0.9439746	0.9668979
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9549438	0.9365615	0.9733260
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8536788	0.8156185	0.8917391
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7585868	0.7411909	0.7759827
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7929494	0.7901840	0.7957149
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8370485	0.8357371	0.8383600
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7677599	0.7654455	0.7700742
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.4026982	0.3698602	0.4355363
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2729706	-0.2816436	-0.2642976
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5437639	-0.5571949	-0.5303329
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4417600	-0.4755803	-0.4079397
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0341079	-0.0544728	-0.0137429
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3531896	0.3084284	0.3979508
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5211879	0.4914603	0.5509154
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.1311866	0.0681167	0.1942566
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.2918511	-0.3272157	-0.2564865
silicate + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.1634027	-0.1957152	-0.1310902
temp + aou	Atlantic	(-Inf,26]	0.3306955	0.2753598	0.3860313
temp + aou	Atlantic	(26,26.5]	-0.1417001	-0.2074255	-0.0759747
temp + aou	Atlantic	(26.5,26.75]	-0.3319020	-0.3379125	-0.3258915
temp + aou	Atlantic	(26.75,27]	-0.1009971	-0.1458165	-0.0561777
temp + aou	Atlantic	(27,27.25]	-0.1380834	-0.2451479	-0.0310190
temp + aou	Atlantic	(27.25,27.5]	-0.1171800	-0.1591096	-0.0752505
temp + aou	Atlantic	(27.5,27.75]	-0.3442015	-0.3880438	-0.3003592
temp + aou	Atlantic	(27.75,27.85]	-0.4291595	-0.5031005	-0.3552185
temp + aou	Atlantic	(27.85,27.95]	-0.3585870	-0.4345455	-0.2826284
temp + aou	Atlantic	(27.95,28.05]	-0.5245620	-0.5485955	-0.5005285
temp + aou	Atlantic	(28.05,28.1]	-0.5348253	-0.5854662	-0.4841844
temp + aou	Atlantic	(28.1,28.15]	-0.6558214	-0.7005706	-0.6110722
temp + aou	Atlantic	(28.15,28.2]	-0.6322294	-0.7508720	-0.5135868
temp + aou	Atlantic	(28.2, Inf]	0.4381557	0.4254650	0.4508463
temp + aou	Indo-Pacific	(-Inf,26]	-0.2720899	-0.3131953	-0.2309844
temp + aou	Indo-Pacific	(26,26.5]	-0.2814253	-0.3093730	-0.2534776
temp + aou	Indo-Pacific	(26.5,26.75]	-0.2880843	-0.3209715	-0.2551971
temp + aou	Indo-Pacific	(26.75,27]	-0.3212807	-0.3423270	-0.3002344
temp + aou	Indo-Pacific	(27,27.25]	-0.2265265	-0.2449853	-0.2080677
temp + aou	Indo-Pacific	(27.25,27.5]	0.0056240	-0.0018239	0.0130719
temp + aou	Indo-Pacific	(27.5,27.75]	0.0491299	0.0427447	0.0555151
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0043694	-0.0101495	0.0014106
temp + aou	Indo-Pacific	(27.85,27.95]	0.0267153	0.0239645	0.0294660
temp + aou	Indo-Pacific	(27.95,28.05]	0.1107267	0.0868806	0.1345728
temp + aou	Indo-Pacific	(28.05,28.1]	0.2298689	0.2103052	0.2494327
temp + aou	Indo-Pacific	(28.1,28.2]	0.7409888	0.7234971	0.7584806
temp + aou	Indo-Pacific	(28.2,28.3]	0.8218103	0.8180773	0.8255434
temp + aou	Indo-Pacific	(28.3,28.4]	0.9642541	0.9573942	0.9711140
temp + nitrate	Atlantic	(-Inf,26]	0.1068142	0.0446690	0.1689594
temp + nitrate	Atlantic	(26,26.5]	-0.5436301	-0.5832142	-0.5040460
temp + nitrate	Atlantic	(26.5,26.75]	-0.6224912	-0.6313371	-0.6136452
temp + nitrate	Atlantic	(26.75,27]	-0.4941523	-0.5275282	-0.4607765
temp + nitrate	Atlantic	(27,27.25]	-0.6112758	-0.6836129	-0.5389387
temp + nitrate	Atlantic	(27.25,27.5]	-0.7233410	-0.7485264	-0.6981557
temp + nitrate	Atlantic	(27.5,27.75]	-0.6994167	-0.7087321	-0.6901013
temp + nitrate	Atlantic	(27.75,27.85]	-0.6456927	-0.6754695	-0.6159159
temp + nitrate	Atlantic	(27.85,27.95]	-0.5815861	-0.6269387	-0.5362334
temp + nitrate	Atlantic	(27.95,28.05]	-0.7043106	-0.7165892	-0.6920319
temp + nitrate	Atlantic	(28.05,28.1]	-0.7289327	-0.7498679	-0.7079974
temp + nitrate	Atlantic	(28.1,28.15]	-0.7725529	-0.7882139	-0.7568920
temp + nitrate	Atlantic	(28.15,28.2]	-0.7195721	-0.7775404	-0.6616037
temp + nitrate	Atlantic	(28.2, Inf]	0.0043620	-0.0727101	0.0814341
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5696521	-0.5846012	-0.5547031
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5956195	-0.6280472	-0.5631918
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.5857441	-0.6164065	-0.5550816
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5751494	-0.6000197	-0.5502790
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4172479	-0.4276271	-0.4068687
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.1343407	-0.1387675	-0.1299139
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0619054	-0.0734315	-0.0503793
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0932345	-0.1023917	-0.0840772
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.0884903	-0.0901251	-0.0868555
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0663592	-0.0866029	-0.0461155
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0146266	-0.0055656	0.0348189
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.5114625	0.4878883	0.5350368
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.1813016	0.1415112	0.2210921
temp + nitrate	Indo-Pacific	(28.3,28.4]	0.3538813	0.2988653	0.4088972
temp + phosphate	Atlantic	(-Inf,26]	-0.4062927	-0.4174266	-0.3951588
temp + phosphate	Atlantic	(26,26.5]	-0.7740047	-0.7802793	-0.7677300
temp + phosphate	Atlantic	(26.5,26.75]	-0.7715871	-0.7762000	-0.7669742
temp + phosphate	Atlantic	(26.75,27]	-0.6300513	-0.6564788	-0.6036237
temp + phosphate	Atlantic	(27,27.25]	-0.6910718	-0.7441553	-0.6379882
temp + phosphate	Atlantic	(27.25,27.5]	-0.7770687	-0.7951063	-0.7590311
temp + phosphate	Atlantic	(27.5,27.75]	-0.7381287	-0.7469937	-0.7292637
temp + phosphate	Atlantic	(27.75,27.85]	-0.6770217	-0.7043427	-0.6497007
temp + phosphate	Atlantic	(27.85,27.95]	-0.5980448	-0.6465813	-0.5495082
temp + phosphate	Atlantic	(27.95,28.05]	-0.7191614	-0.7337042	-0.7046186
temp + phosphate	Atlantic	(28.05,28.1]	-0.7482358	-0.7691252	-0.7273465
temp + phosphate	Atlantic	(28.1,28.15]	-0.7886651	-0.8054554	-0.7718748
temp + phosphate	Atlantic	(28.15,28.2]	-0.7310573	-0.7911753	-0.6709392
temp + phosphate	Atlantic	(28.2, Inf]	-0.0138875	-0.0969768	0.0692018
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4593803	-0.4692381	-0.4495224
temp + phosphate	Indo-Pacific	(26,26.5]	-0.5205958	-0.5602342	-0.4809575
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.5453862	-0.5790226	-0.5117497
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5779557	-0.6070839	-0.5488275
temp + phosphate	Indo-Pacific	(27,27.25]	-0.4101671	-0.4126940	-0.4076403
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.1046963	-0.1059034	-0.1034892
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0042863	-0.0189491	0.0103764
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.0434264	-0.0546998	-0.0321530
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0611747	-0.0622227	-0.0601268
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0563143	-0.0720269	-0.0406017
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0263113	0.0127685	0.0398540
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.5095887	0.4974159	0.5217616
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.1620652	0.1134451	0.2106854
temp + phosphate	Indo-Pacific	(28.3,28.4]	0.4057243	0.3433233	0.4681253
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8246135	-0.8477238	-0.8015032
temp + phosphate_star	Atlantic	(26,26.5]	-0.9641340	-0.9685828	-0.9596853
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9740965	-0.9752023	-0.9729906
temp + phosphate_star	Atlantic	(26.75,27]	-0.9841128	-0.9868833	-0.9813423
temp + phosphate_star	Atlantic	(27,27.25]	-0.9812018	-0.9841425	-0.9782611
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9794982	-0.9802052	-0.9787913
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9174146	-0.9178784	-0.9169508
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8874357	-0.8876858	-0.8871856
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8529762	-0.8723208	-0.8336316
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8762173	-0.8856200	-0.8668147
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8896310	-0.8955194	-0.8837426
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8858619	-0.8873658	-0.8843579
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8145373	-0.8320390	-0.7970355
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3650509	-0.5078355	-0.2222662
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7834171	-0.7915107	-0.7753235
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8792988	-0.8978432	-0.8607544
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9221988	-0.9280252	-0.9163725
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9552807	-0.9588095	-0.9517519
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9218731	-0.9286957	-0.9150504
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7232870	-0.7420894	-0.7044846
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5422844	-0.5641335	-0.5204353
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4964778	-0.5204226	-0.4725331
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6828509	-0.6897441	-0.6759576
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7510002	-0.7754566	-0.7265439
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6180855	-0.6417700	-0.5944011
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5514821	-0.6074764	-0.4954879
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7848951	-0.8215533	-0.7482369
temp + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8144323	-0.8218900	-0.8069746
temp + silicate	Atlantic	(-Inf,26]	-0.6151074	-0.7046724	-0.5255424
temp + silicate	Atlantic	(26,26.5]	-0.7255029	-0.7466256	-0.7043802
temp + silicate	Atlantic	(26.5,26.75]	-0.7090648	-0.7178350	-0.7002946
temp + silicate	Atlantic	(26.75,27]	-0.4914078	-0.5481596	-0.4346561
temp + silicate	Atlantic	(27,27.25]	-0.6469385	-0.7110706	-0.5828064
temp + silicate	Atlantic	(27.25,27.5]	-0.8371583	-0.8528148	-0.8215018
temp + silicate	Atlantic	(27.5,27.75]	-0.7779631	-0.8008669	-0.7550592
temp + silicate	Atlantic	(27.75,27.85]	-0.7244402	-0.7620724	-0.6868079
temp + silicate	Atlantic	(27.85,27.95]	-0.6900199	-0.7334801	-0.6465597
temp + silicate	Atlantic	(27.95,28.05]	-0.7624712	-0.7741637	-0.7507786
temp + silicate	Atlantic	(28.05,28.1]	-0.7342995	-0.7595562	-0.7090428
temp + silicate	Atlantic	(28.1,28.15]	-0.7701903	-0.7975718	-0.7428087
temp + silicate	Atlantic	(28.15,28.2]	-0.6741757	-0.7534713	-0.5948801
temp + silicate	Atlantic	(28.2, Inf]	0.0438985	-0.0451437	0.1329407
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6418691	-0.6599464	-0.6237919
temp + silicate	Indo-Pacific	(26,26.5]	-0.7130402	-0.7189623	-0.7071180
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.7896258	-0.7978602	-0.7813914
temp + silicate	Indo-Pacific	(26.75,27]	-0.7519066	-0.7549591	-0.7488541
temp + silicate	Indo-Pacific	(27,27.25]	-0.5553733	-0.5862527	-0.5244939
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.2861184	-0.3144973	-0.2577396
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.1843217	-0.1926987	-0.1759447
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1272497	-0.1316397	-0.1228597
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1166666	-0.1185142	-0.1148190
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0778567	-0.0964606	-0.0592529
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1021649	0.0850700	0.1192598
temp + silicate	Indo-Pacific	(28.1,28.2]	0.5443325	0.5224870	0.5661780
temp + silicate	Indo-Pacific	(28.2,28.3]	0.4162131	0.4107002	0.4217260
temp + silicate	Indo-Pacific	(28.3,28.4]	0.5602257	0.5206456	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
969e631	jens-daniel-mueller	2021-05-12
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]	0.5979560	0.5856687	0.6102433
aou	Atlantic	(26,26.5]	0.1238002	0.0135489	0.2340515
aou	Atlantic	(26.5,26.75]	-0.2676959	-0.3270657	-0.2083261
aou	Atlantic	(26.75,27]	-0.2432848	-0.3117970	-0.1747727
aou	Atlantic	(27,27.25]	-0.4191650	-0.5141379	-0.3241920
aou	Atlantic	(27.25,27.5]	-0.4448983	-0.4635700	-0.4262267
aou	Atlantic	(27.5,27.75]	-0.7686499	-0.8018723	-0.7354275
aou	Atlantic	(27.75,27.85]	-0.9042620	-0.9328712	-0.8756529
aou	Atlantic	(27.85,27.95]	-0.9143236	-0.9369738	-0.8916734
aou	Atlantic	(27.95,28.05]	-0.8678673	-0.8874853	-0.8482494
aou	Atlantic	(28.05,28.1]	-0.8488211	-0.8753993	-0.8222429
aou	Atlantic	(28.1,28.15]	-0.8874259	-0.9180643	-0.8567875
aou	Atlantic	(28.15,28.2]	-0.9461988	-0.9596253	-0.9327723
aou	Atlantic	(28.2, Inf]	-0.6764774	-0.7766008	-0.5763540
aou	Indo-Pacific	(-Inf,26]	-0.1039171	-0.1163962	-0.0914380
aou	Indo-Pacific	(26,26.5]	-0.7367930	-0.7630583	-0.7105276
aou	Indo-Pacific	(26.5,26.75]	-0.7568271	-0.7741667	-0.7394875
aou	Indo-Pacific	(26.75,27]	-0.7320053	-0.7702693	-0.6937414
aou	Indo-Pacific	(27,27.25]	0.0596377	-0.0025752	0.1218505
aou	Indo-Pacific	(27.25,27.5]	0.6112463	0.5754052	0.6470875
aou	Indo-Pacific	(27.5,27.75]	0.7625096	0.7518496	0.7731697
aou	Indo-Pacific	(27.75,27.85]	0.8081236	0.8037192	0.8125281
aou	Indo-Pacific	(27.85,27.95]	0.7596251	0.7438047	0.7754455
aou	Indo-Pacific	(27.95,28.05]	0.5239262	0.4751715	0.5726810
aou	Indo-Pacific	(28.05,28.1]	0.2490033	0.1702673	0.3277392
aou	Indo-Pacific	(28.1,28.2]	0.2476047	0.1261832	0.3690263
aou	Indo-Pacific	(28.2,28.3]	0.0558922	0.0399800	0.0718045
aou	Indo-Pacific	(28.3,28.4]	0.1101801	0.0755012	0.1448591
aou	Indo-Pacific	(28.4, Inf]	NA	NA	NA
nitrate	Atlantic	(-Inf,26]	0.3420345	0.3380563	0.3460128
nitrate	Atlantic	(26,26.5]	-0.2835466	-0.3712547	-0.1958384
nitrate	Atlantic	(26.5,26.75]	-0.5269508	-0.5941299	-0.4597718
nitrate	Atlantic	(26.75,27]	-0.5868849	-0.6397930	-0.5339768
nitrate	Atlantic	(27,27.25]	-0.7989483	-0.8525892	-0.7453073
nitrate	Atlantic	(27.25,27.5]	-0.9143039	-0.9206313	-0.9079765
nitrate	Atlantic	(27.5,27.75]	-0.9716565	-0.9776130	-0.9657000
nitrate	Atlantic	(27.75,27.85]	-0.9628840	-0.9708811	-0.9548869
nitrate	Atlantic	(27.85,27.95]	-0.9325970	-0.9472014	-0.9179926
nitrate	Atlantic	(27.95,28.05]	-0.9113838	-0.9267661	-0.8960015
nitrate	Atlantic	(28.05,28.1]	-0.8963830	-0.9131209	-0.8796452
nitrate	Atlantic	(28.1,28.15]	-0.9195588	-0.9387593	-0.9003584
nitrate	Atlantic	(28.15,28.2]	-0.9790826	-0.9799728	-0.9781923
nitrate	Atlantic	(28.2, Inf]	-0.9536012	-0.9706756	-0.9365268
nitrate	Indo-Pacific	(-Inf,26]	-0.1119543	-0.1159632	-0.1079454
nitrate	Indo-Pacific	(26,26.5]	-0.8400401	-0.8496064	-0.8304738
nitrate	Indo-Pacific	(26.5,26.75]	-0.8749575	-0.8824514	-0.8674637
nitrate	Indo-Pacific	(26.75,27]	-0.8517167	-0.8695031	-0.8339303
nitrate	Indo-Pacific	(27,27.25]	-0.0273105	-0.0678586	0.0132377
nitrate	Indo-Pacific	(27.25,27.5]	0.5382842	0.4952902	0.5812782
nitrate	Indo-Pacific	(27.5,27.75]	0.6966179	0.6813454	0.7118904
nitrate	Indo-Pacific	(27.75,27.85]	0.7631308	0.7580841	0.7681775
nitrate	Indo-Pacific	(27.85,27.95]	0.7038556	0.6839651	0.7237461
nitrate	Indo-Pacific	(27.95,28.05]	0.4345302	0.3774691	0.4915912
nitrate	Indo-Pacific	(28.05,28.1]	0.1655587	0.0787276	0.2523897
nitrate	Indo-Pacific	(28.1,28.2]	0.1134766	-0.0208237	0.2477770
nitrate	Indo-Pacific	(28.2,28.3]	-0.2857066	-0.3118080	-0.2596051
nitrate	Indo-Pacific	(28.3,28.4]	-0.5310433	-0.5403972	-0.5216893
nitrate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate	Atlantic	(-Inf,26]	-0.0506739	-0.1881734	0.0868256
phosphate	Atlantic	(26,26.5]	-0.4962383	-0.5554222	-0.4370544
phosphate	Atlantic	(26.5,26.75]	-0.6522274	-0.7029749	-0.6014799
phosphate	Atlantic	(26.75,27]	-0.7096620	-0.7494868	-0.6698372
phosphate	Atlantic	(27,27.25]	-0.8653212	-0.9008778	-0.8297647
phosphate	Atlantic	(27.25,27.5]	-0.9467937	-0.9502135	-0.9433740
phosphate	Atlantic	(27.5,27.75]	-0.9834429	-0.9863370	-0.9805488
phosphate	Atlantic	(27.75,27.85]	-0.9737266	-0.9763386	-0.9711146
phosphate	Atlantic	(27.85,27.95]	-0.9461359	-0.9529192	-0.9393526
phosphate	Atlantic	(27.95,28.05]	-0.9234383	-0.9328666	-0.9140099
phosphate	Atlantic	(28.05,28.1]	-0.9070476	-0.9194651	-0.8946301
phosphate	Atlantic	(28.1,28.15]	-0.9238440	-0.9415259	-0.9061622
phosphate	Atlantic	(28.15,28.2]	-0.9824090	-0.9841760	-0.9806419
phosphate	Atlantic	(28.2, Inf]	-0.9624959	-0.9770851	-0.9479067
phosphate	Indo-Pacific	(-Inf,26]	-0.1037014	-0.1075203	-0.0998826
phosphate	Indo-Pacific	(26,26.5]	-0.8563190	-0.8690080	-0.8436300
phosphate	Indo-Pacific	(26.5,26.75]	-0.8938349	-0.9005460	-0.8871239
phosphate	Indo-Pacific	(26.75,27]	-0.8618920	-0.8773706	-0.8464135
phosphate	Indo-Pacific	(27,27.25]	-0.0378733	-0.0787963	0.0030497
phosphate	Indo-Pacific	(27.25,27.5]	0.5333330	0.4910050	0.5756609
phosphate	Indo-Pacific	(27.5,27.75]	0.6781006	0.6625484	0.6936528
phosphate	Indo-Pacific	(27.75,27.85]	0.7342027	0.7288236	0.7395819
phosphate	Indo-Pacific	(27.85,27.95]	0.6737869	0.6507509	0.6968229
phosphate	Indo-Pacific	(27.95,28.05]	0.3871435	0.3262762	0.4480108
phosphate	Indo-Pacific	(28.05,28.1]	0.0929341	-0.0017652	0.1876335
phosphate	Indo-Pacific	(28.1,28.2]	0.0045285	-0.1496003	0.1586574
phosphate	Indo-Pacific	(28.2,28.3]	-0.6822756	-0.7008273	-0.6637238
phosphate	Indo-Pacific	(28.3,28.4]	-0.6593616	-0.6911799	-0.6275433
phosphate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate_star	Atlantic	(-Inf,26]	-0.5444767	-0.6307193	-0.4582341
phosphate_star	Atlantic	(26,26.5]	-0.7341598	-0.7538706	-0.7144489
phosphate_star	Atlantic	(26.5,26.75]	-0.7950433	-0.8132052	-0.7768814
phosphate_star	Atlantic	(26.75,27]	-0.9243955	-0.9277896	-0.9210015
phosphate_star	Atlantic	(27,27.25]	-0.9389546	-0.9396000	-0.9383091
phosphate_star	Atlantic	(27.25,27.5]	-0.9397071	-0.9465170	-0.9328973
phosphate_star	Atlantic	(27.5,27.75]	-0.9240846	-0.9270027	-0.9211665
phosphate_star	Atlantic	(27.75,27.85]	-0.8847116	-0.8911277	-0.8782955
phosphate_star	Atlantic	(27.85,27.95]	-0.8044598	-0.8132650	-0.7956545
phosphate_star	Atlantic	(27.95,28.05]	-0.8652513	-0.8748289	-0.8556737
phosphate_star	Atlantic	(28.05,28.1]	-0.8633115	-0.8743208	-0.8523023
phosphate_star	Atlantic	(28.1,28.15]	-0.8971529	-0.9133835	-0.8809224
phosphate_star	Atlantic	(28.15,28.2]	-0.9742169	-0.9758666	-0.9725673
phosphate_star	Atlantic	(28.2, Inf]	-0.9512974	-0.9671191	-0.9354758
phosphate_star	Indo-Pacific	(-Inf,26]	0.0473060	0.0451336	0.0494785
phosphate_star	Indo-Pacific	(26,26.5]	-0.8500865	-0.8519564	-0.8482165
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8732840	-0.8868002	-0.8597678
phosphate_star	Indo-Pacific	(26.75,27]	-0.7859373	-0.8164652	-0.7554094
phosphate_star	Indo-Pacific	(27,27.25]	-0.2494525	-0.3282229	-0.1706821
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3360808	-0.3555958	-0.3165659
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5736354	-0.5775794	-0.5696914
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5762992	-0.5933018	-0.5592966
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3637321	-0.3711452	-0.3563189
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2824172	-0.3161591	-0.2486753
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3310327	-0.4034482	-0.2586172
phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5228118	-0.5847137	-0.4609099
phosphate_star	Indo-Pacific	(28.2,28.3]	-0.4487639	-0.4882783	-0.4092495
phosphate_star	Indo-Pacific	(28.3,28.4]	-0.4852620	-0.4900532	-0.4804709
phosphate_star	Indo-Pacific	(28.4, Inf]	NA	NA	NA
sal	Atlantic	(-Inf,26]	0.3513472	0.3081026	0.3945917
sal	Atlantic	(26,26.5]	0.6477605	0.6341614	0.6613597
sal	Atlantic	(26.5,26.75]	0.7142641	0.7001068	0.7284213
sal	Atlantic	(26.75,27]	0.8875998	0.8861046	0.8890950
sal	Atlantic	(27,27.25]	0.9139175	0.9127236	0.9151114
sal	Atlantic	(27.25,27.5]	0.9154484	0.9106346	0.9202621
sal	Atlantic	(27.5,27.75]	0.7902097	0.7870504	0.7933690
sal	Atlantic	(27.75,27.85]	0.6441487	0.6236968	0.6646005
sal	Atlantic	(27.85,27.95]	0.4695224	0.4154326	0.5236122
sal	Atlantic	(27.95,28.05]	0.6533418	0.6209458	0.6857379
sal	Atlantic	(28.05,28.1]	0.6934127	0.6751397	0.7116857
sal	Atlantic	(28.1,28.15]	0.7782719	0.7592674	0.7972763
sal	Atlantic	(28.15,28.2]	0.9165785	0.9101305	0.9230264
sal	Atlantic	(28.2, Inf]	0.9305220	0.9157229	0.9453210
sal	Indo-Pacific	(-Inf,26]	0.0186837	-0.0013180	0.0386854
sal	Indo-Pacific	(26,26.5]	0.6002647	0.5651704	0.6353590
sal	Indo-Pacific	(26.5,26.75]	0.6997310	0.6708015	0.7286604
sal	Indo-Pacific	(26.75,27]	0.5950771	0.5426993	0.6474549
sal	Indo-Pacific	(27,27.25]	-0.1927394	-0.2865411	-0.0989377
sal	Indo-Pacific	(27.25,27.5]	-0.3812493	-0.4396789	-0.3228196
sal	Indo-Pacific	(27.5,27.75]	-0.2535256	-0.2833572	-0.2236939
sal	Indo-Pacific	(27.75,27.85]	-0.3448501	-0.3535701	-0.3361300
sal	Indo-Pacific	(27.85,27.95]	-0.2838949	-0.3160196	-0.2517702
sal	Indo-Pacific	(27.95,28.05]	-0.0537208	-0.0877410	-0.0197006
sal	Indo-Pacific	(28.05,28.1]	0.0694760	0.0013988	0.1375532
sal	Indo-Pacific	(28.1,28.2]	0.1408879	0.0763922	0.2053835
sal	Indo-Pacific	(28.2,28.3]	0.0917163	0.0893152	0.0941174
sal	Indo-Pacific	(28.3,28.4]	0.2058848	0.1668563	0.2449133
sal	Indo-Pacific	(28.4, Inf]	NA	NA	NA
silicate	Atlantic	(-Inf,26]	-0.0777770	-0.0864359	-0.0691182
silicate	Atlantic	(26,26.5]	-0.4574633	-0.5060647	-0.4088618
silicate	Atlantic	(26.5,26.75]	-0.5438367	-0.5921855	-0.4954878
silicate	Atlantic	(26.75,27]	-0.5833635	-0.6433057	-0.5234213
silicate	Atlantic	(27,27.25]	-0.8090113	-0.8501683	-0.7678543
silicate	Atlantic	(27.25,27.5]	-0.9030985	-0.9139333	-0.8922637
silicate	Atlantic	(27.5,27.75]	-0.8893092	-0.8914942	-0.8871242
silicate	Atlantic	(27.75,27.85]	-0.9102314	-0.9115780	-0.9088848
silicate	Atlantic	(27.85,27.95]	-0.8814764	-0.8904688	-0.8724840
silicate	Atlantic	(27.95,28.05]	-0.8784075	-0.8894005	-0.8674146
silicate	Atlantic	(28.05,28.1]	-0.8750745	-0.8886023	-0.8615466
silicate	Atlantic	(28.1,28.15]	-0.9064371	-0.9255797	-0.8872946
silicate	Atlantic	(28.15,28.2]	-0.9671569	-0.9694730	-0.9648409
silicate	Atlantic	(28.2, Inf]	-0.9214974	-0.9464321	-0.8965627
silicate	Indo-Pacific	(-Inf,26]	-0.1217098	-0.1222858	-0.1211339
silicate	Indo-Pacific	(26,26.5]	-0.7388980	-0.7421624	-0.7356336
silicate	Indo-Pacific	(26.5,26.75]	-0.7670588	-0.7675845	-0.7665330
silicate	Indo-Pacific	(26.75,27]	-0.6689373	-0.6723850	-0.6654896
silicate	Indo-Pacific	(27,27.25]	0.2614430	0.2584534	0.2644326
silicate	Indo-Pacific	(27.25,27.5]	0.7931705	0.7877896	0.7985514
silicate	Indo-Pacific	(27.5,27.75]	0.8706363	0.8688185	0.8724542
silicate	Indo-Pacific	(27.75,27.85]	0.8349855	0.8270582	0.8429128
silicate	Indo-Pacific	(27.85,27.95]	0.7462011	0.7287961	0.7636062
silicate	Indo-Pacific	(27.95,28.05]	0.4856249	0.4314183	0.5398314
silicate	Indo-Pacific	(28.05,28.1]	0.1940645	0.1156249	0.2725041
silicate	Indo-Pacific	(28.1,28.2]	0.1336876	0.0084963	0.2588790
silicate	Indo-Pacific	(28.2,28.3]	-0.1328624	-0.1483484	-0.1173763
silicate	Indo-Pacific	(28.3,28.4]	-0.4995203	-0.5264722	-0.4725683
silicate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
temp	Atlantic	(-Inf,26]	0.2388291	0.1631132	0.3145450
temp	Atlantic	(26,26.5]	0.6401953	0.6308497	0.6495409
temp	Atlantic	(26.5,26.75]	0.6915936	0.6697710	0.7134161
temp	Atlantic	(26.75,27]	0.8724587	0.8601219	0.8847954
temp	Atlantic	(27,27.25]	0.8845342	0.8809949	0.8880735
temp	Atlantic	(27.25,27.5]	0.8900564	0.8829757	0.8971370
temp	Atlantic	(27.5,27.75]	0.7551381	0.7538550	0.7564212
temp	Atlantic	(27.75,27.85]	0.6470707	0.6329468	0.6611947
temp	Atlantic	(27.85,27.95]	0.4792979	0.4386605	0.5199353
temp	Atlantic	(27.95,28.05]	0.6026673	0.5866388	0.6186959
temp	Atlantic	(28.05,28.1]	0.6020155	0.5910014	0.6130296
temp	Atlantic	(28.1,28.15]	0.6382124	0.6263687	0.6500561
temp	Atlantic	(28.15,28.2]	0.6926954	0.6641300	0.7212608
temp	Atlantic	(28.2, Inf]	0.1495029	0.0467612	0.2522446
temp	Indo-Pacific	(-Inf,26]	-0.3691041	-0.3718862	-0.3663221
temp	Indo-Pacific	(26,26.5]	0.6009156	0.5774173	0.6244139
temp	Indo-Pacific	(26.5,26.75]	0.6790280	0.6479549	0.7101010
temp	Indo-Pacific	(26.75,27]	0.6207091	0.5719635	0.6694547
temp	Indo-Pacific	(27,27.25]	-0.0629335	-0.1583259	0.0324589
temp	Indo-Pacific	(27.25,27.5]	-0.3475403	-0.3941585	-0.3009221
temp	Indo-Pacific	(27.5,27.75]	-0.3000047	-0.3196647	-0.2803447
temp	Indo-Pacific	(27.75,27.85]	-0.2614808	-0.2697196	-0.2532420
temp	Indo-Pacific	(27.85,27.95]	-0.1593858	-0.1740766	-0.1446950
temp	Indo-Pacific	(27.95,28.05]	0.0398876	0.0377237	0.0420515
temp	Indo-Pacific	(28.05,28.1]	0.1823624	0.1809539	0.1837708
temp	Indo-Pacific	(28.1,28.2]	0.2649385	0.1723177	0.3575592
temp	Indo-Pacific	(28.2,28.3]	0.0591422	0.0387026	0.0795818
temp	Indo-Pacific	(28.3,28.4]	0.0703165	0.0314007	0.1092322
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