eMLR - assumption testing

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Last updated: 2021-04-16

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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
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
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338dd3c	jens-daniel-mueller	2021-04-09
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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
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
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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
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
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338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
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7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
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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
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
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]	0.8947875	0.8885367	0.9010383
aou + nitrate	Atlantic	(26,26.5]	0.8178269	0.7702172	0.8654365
aou + nitrate	Atlantic	(26.5,26.75]	0.9266113	0.9190869	0.9341357
aou + nitrate	Atlantic	(26.75,27]	0.9288238	0.9198122	0.9378355
aou + nitrate	Atlantic	(27,27.25]	0.8913908	0.8683565	0.9144250
aou + nitrate	Atlantic	(27.25,27.5]	0.7991228	0.7397766	0.8584689
aou + nitrate	Atlantic	(27.5,27.75]	0.8676638	0.8666884	0.8686393
aou + nitrate	Atlantic	(27.75,27.85]	0.9223230	0.8919081	0.9527379
aou + nitrate	Atlantic	(27.85,27.95]	0.9324454	0.9084217	0.9564692
aou + nitrate	Atlantic	(27.95,28.05]	0.9287272	0.9016945	0.9557600
aou + nitrate	Atlantic	(28.05,28.1]	0.9264294	0.8938221	0.9590368
aou + nitrate	Atlantic	(28.1,28.15]	0.9287628	0.8773123	0.9802133
aou + nitrate	Atlantic	(28.15,28.2]	0.9564411	0.9245571	0.9883250
aou + nitrate	Atlantic	(28.2, Inf]	0.8516897	0.7673866	0.9359929
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9021405	0.8934221	0.9108590
aou + nitrate	Indo-Pacific	(26,26.5]	0.9015234	0.8974210	0.9056259
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9071712	0.8871762	0.9271662
aou + nitrate	Indo-Pacific	(26.75,27]	0.9427027	0.9353057	0.9500997
aou + nitrate	Indo-Pacific	(27,27.25]	0.9671677	0.9638952	0.9704402
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9739186	0.9718312	0.9760060
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9747880	0.9720368	0.9775392
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9839782	0.9832249	0.9847315
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9813696	0.9801789	0.9825603
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9675557	0.9674704	0.9676411
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9602259	0.9555693	0.9648824
aou + nitrate	Indo-Pacific	(28.1,28.2]	0.9344271	0.9287607	0.9400934
aou + nitrate	Indo-Pacific	(28.2,28.3]	0.3681416	0.3070483	0.4292349
aou + nitrate	Indo-Pacific	(28.3,28.4]	0.4480951	0.1947000	0.7014903
aou + phosphate	Atlantic	(-Inf,26]	0.4563592	0.1082822	0.8044363
aou + phosphate	Atlantic	(26,26.5]	0.5558968	0.4577436	0.6540500
aou + phosphate	Atlantic	(26.5,26.75]	0.8236585	0.8001109	0.8472060
aou + phosphate	Atlantic	(26.75,27]	0.8570244	0.8465294	0.8675193
aou + phosphate	Atlantic	(27,27.25]	0.8375072	0.8034830	0.8715313
aou + phosphate	Atlantic	(27.25,27.5]	0.7456834	0.6748929	0.8164738
aou + phosphate	Atlantic	(27.5,27.75]	0.8405146	0.8370280	0.8440013
aou + phosphate	Atlantic	(27.75,27.85]	0.8990080	0.8529644	0.9450515
aou + phosphate	Atlantic	(27.85,27.95]	0.9238676	0.8970521	0.9506831
aou + phosphate	Atlantic	(27.95,28.05]	0.9219106	0.8916268	0.9521945
aou + phosphate	Atlantic	(28.05,28.1]	0.9163454	0.8800293	0.9526615
aou + phosphate	Atlantic	(28.1,28.15]	0.9243300	0.8719401	0.9767199
aou + phosphate	Atlantic	(28.15,28.2]	0.9555371	0.9225781	0.9884961
aou + phosphate	Atlantic	(28.2, Inf]	0.8468852	0.7615387	0.9322318
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9242306	0.9146500	0.9338111
aou + phosphate	Indo-Pacific	(26,26.5]	0.9499892	0.9429257	0.9570528
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9406967	0.9236256	0.9577679
aou + phosphate	Indo-Pacific	(26.75,27]	0.9481698	0.9387962	0.9575434
aou + phosphate	Indo-Pacific	(27,27.25]	0.9732178	0.9684102	0.9780253
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9803052	0.9795990	0.9810114
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9814379	0.9802601	0.9826156
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9859637	0.9842605	0.9876669
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9824761	0.9816154	0.9833368
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9703607	0.9684301	0.9722913
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9606092	0.9580049	0.9632136
aou + phosphate	Indo-Pacific	(28.1,28.2]	0.9237290	0.9168422	0.9306158
aou + phosphate	Indo-Pacific	(28.2,28.3]	0.3172671	0.2149549	0.4195792
aou + phosphate	Indo-Pacific	(28.3,28.4]	0.4377621	0.2187468	0.6567774
aou + phosphate_star	Atlantic	(-Inf,26]	-0.3414175	-0.6074818	-0.0753532
aou + phosphate_star	Atlantic	(26,26.5]	0.0617605	-0.0609201	0.1844411
aou + phosphate_star	Atlantic	(26.5,26.75]	0.3718413	0.3299038	0.4137789
aou + phosphate_star	Atlantic	(26.75,27]	0.2443964	0.1870085	0.3017844
aou + phosphate_star	Atlantic	(27,27.25]	0.2863867	0.1580949	0.4146785
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2306001	0.1077589	0.3534412
aou + phosphate_star	Atlantic	(27.5,27.75]	0.4532798	0.3737013	0.5328583
aou + phosphate_star	Atlantic	(27.75,27.85]	0.5394705	0.3380854	0.7408556
aou + phosphate_star	Atlantic	(27.85,27.95]	0.5142551	0.3098082	0.7187019
aou + phosphate_star	Atlantic	(27.95,28.05]	0.6909427	0.5808009	0.8010844
aou + phosphate_star	Atlantic	(28.05,28.1]	0.7099458	0.5892094	0.8306822
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7787045	0.6444944	0.9129145
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8594616	0.7596223	0.9593009
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5976183	0.3513975	0.8438391
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6082362	0.5348058	0.6816666
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6005667	0.5461554	0.6549779
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4749736	0.3553131	0.5946341
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.4528751	0.4102718	0.4954784
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1509204	0.0670175	0.2348232
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4463747	-0.4682259	-0.4245235
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6199691	-0.6683888	-0.5715495
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4886391	-0.5659389	-0.4113393
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1391137	-0.2114763	-0.0667511
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.2035443	0.1243884	0.2827001
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3883020	0.3671193	0.4094846
aou + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.0751256	-0.1772925	0.0270414
aou + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7944319	-0.8188815	-0.7699822
aou + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8510836	-0.8686258	-0.8335414
aou + silicate	Atlantic	(-Inf,26]	0.3000155	-0.0860532	0.6860842
aou + silicate	Atlantic	(26,26.5]	0.4831100	0.3854516	0.5807684
aou + silicate	Atlantic	(26.5,26.75]	0.7348305	0.6034362	0.8662247
aou + silicate	Atlantic	(26.75,27]	0.8093599	0.7710575	0.8476622
aou + silicate	Atlantic	(27,27.25]	0.7897421	0.7616644	0.8178198
aou + silicate	Atlantic	(27.25,27.5]	0.5514505	0.4491787	0.6537224
aou + silicate	Atlantic	(27.5,27.75]	0.6548728	0.6268854	0.6828602
aou + silicate	Atlantic	(27.75,27.85]	0.8259092	0.7949185	0.8568999
aou + silicate	Atlantic	(27.85,27.95]	0.8704954	0.8450355	0.8959553
aou + silicate	Atlantic	(27.95,28.05]	0.9130648	0.8915759	0.9345536
aou + silicate	Atlantic	(28.05,28.1]	0.9339553	0.9082749	0.9596357
aou + silicate	Atlantic	(28.1,28.15]	0.9492697	0.9213926	0.9771468
aou + silicate	Atlantic	(28.15,28.2]	0.9768095	0.9656296	0.9879894
aou + silicate	Atlantic	(28.2, Inf]	0.8660850	0.7658465	0.9663236
aou + silicate	Indo-Pacific	(-Inf,26]	0.7078434	0.6955666	0.7201202
aou + silicate	Indo-Pacific	(26,26.5]	0.6575404	0.6165674	0.6985134
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6288880	0.5910055	0.6667704
aou + silicate	Indo-Pacific	(26.75,27]	0.7668864	0.7540782	0.7796947
aou + silicate	Indo-Pacific	(27,27.25]	0.9031430	0.8887054	0.9175806
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9299374	0.9158848	0.9439901
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9466160	0.9399130	0.9533190
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9747144	0.9712653	0.9781636
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9680727	0.9676465	0.9684988
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9498633	0.9445955	0.9551312
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9493292	0.9417876	0.9568708
aou + silicate	Indo-Pacific	(28.1,28.2]	0.8925310	0.8901299	0.8949322
aou + silicate	Indo-Pacific	(28.2,28.3]	0.6117821	0.5772244	0.6463399
aou + silicate	Indo-Pacific	(28.3,28.4]	0.5824512	0.3775948	0.7873076
nitrate + phosphate	Atlantic	(-Inf,26]	0.6781783	0.4069093	0.9494472
nitrate + phosphate	Atlantic	(26,26.5]	0.8778108	0.8398788	0.9157427
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9650577	0.9588590	0.9712565
nitrate + phosphate	Atlantic	(26.75,27]	0.9806096	0.9798992	0.9813200
nitrate + phosphate	Atlantic	(27,27.25]	0.9870090	0.9860773	0.9879407
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9902065	0.9891312	0.9912818
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9869251	0.9790169	0.9948332
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9862371	0.9768769	0.9955974
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9756142	0.9573796	0.9938488
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9777815	0.9614879	0.9940751
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9835994	0.9737155	0.9934832
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9924809	0.9883210	0.9966407
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9975206	0.9969916	0.9980496
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9945787	0.9927294	0.9964281
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9643356	0.9582579	0.9704133
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9600914	0.9503905	0.9697924
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9640309	0.9568695	0.9711924
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9870319	0.9857301	0.9883337
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9903636	0.9898719	0.9908554
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9923037	0.9919425	0.9926648
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9915489	0.9895845	0.9935133
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9914115	0.9895007	0.9933223
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9912708	0.9883295	0.9942122
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9846909	0.9778581	0.9915237
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9815046	0.9736580	0.9893512
nitrate + phosphate	Indo-Pacific	(28.1,28.2]	0.9709838	0.9665594	0.9754083
nitrate + phosphate	Indo-Pacific	(28.2,28.3]	0.5749878	0.5397854	0.6101901
nitrate + phosphate	Indo-Pacific	(28.3,28.4]	0.7331163	0.6834858	0.7827468
nitrate + phosphate_star	Atlantic	(-Inf,26]	-0.0000772	-0.2941794	0.2940250
nitrate + phosphate_star	Atlantic	(26,26.5]	0.5584938	0.5000301	0.6169574
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.6728547	0.6512560	0.6944534
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5739541	0.5472682	0.6006399
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6752539	0.6191862	0.7313215
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7547478	0.7398887	0.7696070
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8090312	0.7475730	0.8704895
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7960358	0.6946523	0.8974193
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.7384930	0.6005785	0.8764075
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.8696836	0.8100850	0.9292823
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.8967562	0.8503873	0.9431250
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9420153	0.9151787	0.9688519
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9660685	0.9473705	0.9847666
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9154479	0.8582863	0.9726096
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8498638	0.8199584	0.8797692
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.8211619	0.7948162	0.8475075
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7293548	0.6623450	0.7963647
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6909022	0.6716400	0.7101645
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.3596030	0.2959480	0.4232580
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2634365	-0.2921476	-0.2347255
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4577538	-0.5215824	-0.3939252
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3608617	-0.4424500	-0.2792735
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0132827	-0.0546781	0.0812434
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3888410	0.3393617	0.4383203
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5797175	0.5687386	0.5906965
nitrate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.2216441	0.1523098	0.2909783
nitrate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.0256964	-0.0138693	0.0652622
nitrate + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.0940070	-0.3954190	0.2074050
nitrate + silicate	Atlantic	(-Inf,26]	0.5498394	0.2227035	0.8769754
nitrate + silicate	Atlantic	(26,26.5]	0.8110105	0.7844087	0.8376123
nitrate + silicate	Atlantic	(26.5,26.75]	0.8727778	0.7806618	0.9648939
nitrate + silicate	Atlantic	(26.75,27]	0.9094914	0.8855273	0.9334554
nitrate + silicate	Atlantic	(27,27.25]	0.9340729	0.9268677	0.9412782
nitrate + silicate	Atlantic	(27.25,27.5]	0.8834801	0.8572576	0.9097025
nitrate + silicate	Atlantic	(27.5,27.75]	0.8781316	0.8753306	0.8809326
nitrate + silicate	Atlantic	(27.75,27.85]	0.9446872	0.9404164	0.9489580
nitrate + silicate	Atlantic	(27.85,27.95]	0.9617984	0.9532137	0.9703832
nitrate + silicate	Atlantic	(27.95,28.05]	0.9696036	0.9577982	0.9814090
nitrate + silicate	Atlantic	(28.05,28.1]	0.9835012	0.9778588	0.9891435
nitrate + silicate	Atlantic	(28.1,28.15]	0.9861483	0.9805470	0.9917496
nitrate + silicate	Atlantic	(28.15,28.2]	0.9899436	0.9879415	0.9919456
nitrate + silicate	Atlantic	(28.2, Inf]	0.9747796	0.9623329	0.9872262
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8796323	0.8629777	0.8962868
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8261894	0.8047631	0.8476158
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8084844	0.7985074	0.8184613
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8561953	0.8336959	0.8786948
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9163086	0.8872876	0.9453295
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9114861	0.8773904	0.9455819
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9163733	0.9010117	0.9317349
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9591533	0.9543202	0.9639865
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9650237	0.9628047	0.9672428
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9475453	0.9323997	0.9626909
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9519126	0.9409549	0.9628702
nitrate + silicate	Indo-Pacific	(28.1,28.2]	0.9173562	0.9129937	0.9217188
nitrate + silicate	Indo-Pacific	(28.2,28.3]	0.5107002	0.4603276	0.5610728
nitrate + silicate	Indo-Pacific	(28.3,28.4]	0.7143954	0.6853645	0.7434262
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.6126787	0.5131134	0.7122440
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8594462	0.8569333	0.8619591
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8303664	0.8270812	0.8336515
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7078555	0.6808132	0.7348977
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7603779	0.7143841	0.8063717
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8160032	0.8048739	0.8271326
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.8575388	0.8143901	0.9006875
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8461653	0.7746717	0.9176588
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.7943956	0.6913138	0.8974774
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9117056	0.8792338	0.9441773
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9296660	0.8996870	0.9596451
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9569646	0.9352627	0.9786666
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9709856	0.9514008	0.9905705
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9263377	0.8731216	0.9795539
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8495205	0.8172293	0.8818117
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8176704	0.7920260	0.8433149
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7416998	0.6844929	0.7989067
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7101719	0.6975766	0.7227672
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3687952	0.3104820	0.4271084
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2711406	-0.2960735	-0.2462077
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4727928	-0.5222998	-0.4232859
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3478471	-0.4220434	-0.2736508
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0389335	-0.0293004	0.1071675
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4286862	0.3633006	0.4940718
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6260956	0.6012221	0.6509692
phosphate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.3069200	0.2267957	0.3870444
phosphate + phosphate_star	Indo-Pacific	(28.2,28.3]	0.3086671	0.2487065	0.3686277
phosphate + phosphate_star	Indo-Pacific	(28.3,28.4]	0.0779112	-0.1976703	0.3534928
sal + aou	Atlantic	(-Inf,26]	0.2867543	0.0287910	0.5447176
sal + aou	Atlantic	(26,26.5]	0.0127933	-0.0489493	0.0745359
sal + aou	Atlantic	(26.5,26.75]	-0.2755455	-0.2967901	-0.2543008
sal + aou	Atlantic	(26.75,27]	-0.1786493	-0.2111547	-0.1461439
sal + aou	Atlantic	(27,27.25]	-0.2771656	-0.3833825	-0.1709488
sal + aou	Atlantic	(27.25,27.5]	-0.1936451	-0.2958749	-0.0914152
sal + aou	Atlantic	(27.5,27.75]	-0.2544484	-0.3969170	-0.1119799
sal + aou	Atlantic	(27.75,27.85]	-0.2296458	-0.4721462	0.0128546
sal + aou	Atlantic	(27.85,27.95]	-0.0915406	-0.4178589	0.2347777
sal + aou	Atlantic	(27.95,28.05]	-0.3516367	-0.6426610	-0.0606123
sal + aou	Atlantic	(28.05,28.1]	-0.4360344	-0.7042007	-0.1678682
sal + aou	Atlantic	(28.1,28.15]	-0.6227978	-0.8302991	-0.4152965
sal + aou	Atlantic	(28.15,28.2]	-0.7879222	-0.9235837	-0.6522607
sal + aou	Atlantic	(28.2, Inf]	-0.6321027	-0.8206994	-0.4435061
sal + aou	Indo-Pacific	(-Inf,26]	-0.0652808	-0.1166917	-0.0138700
sal + aou	Indo-Pacific	(26,26.5]	-0.1817945	-0.2357049	-0.1278840
sal + aou	Indo-Pacific	(26.5,26.75]	-0.2260441	-0.3412188	-0.1108693
sal + aou	Indo-Pacific	(26.75,27]	-0.3145585	-0.3298748	-0.2992422
sal + aou	Indo-Pacific	(27,27.25]	-0.1805600	-0.2288417	-0.1322783
sal + aou	Indo-Pacific	(27.25,27.5]	0.0590912	0.0226330	0.0955494
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0397013	-0.0577066	-0.0216961
sal + aou	Indo-Pacific	(27.75,27.85]	-0.2748417	-0.3563551	-0.1933283
sal + aou	Indo-Pacific	(27.85,27.95]	-0.3950586	-0.4522780	-0.3378392
sal + aou	Indo-Pacific	(27.95,28.05]	-0.4445353	-0.5396093	-0.3494612
sal + aou	Indo-Pacific	(28.05,28.1]	-0.4757375	-0.4954836	-0.4559914
sal + aou	Indo-Pacific	(28.1,28.2]	-0.1822954	-0.2780319	-0.0865589
sal + aou	Indo-Pacific	(28.2,28.3]	0.8840584	0.8772045	0.8909122
sal + aou	Indo-Pacific	(28.3,28.4]	0.8201227	0.7929767	0.8472688
sal + nitrate	Atlantic	(-Inf,26]	0.0177947	-0.1911820	0.2267714
sal + nitrate	Atlantic	(26,26.5]	-0.4395261	-0.4746436	-0.4044086
sal + nitrate	Atlantic	(26.5,26.75]	-0.5694436	-0.5843612	-0.5545261
sal + nitrate	Atlantic	(26.75,27]	-0.5027606	-0.5039985	-0.5015228
sal + nitrate	Atlantic	(27,27.25]	-0.6545700	-0.6923301	-0.6168099
sal + nitrate	Atlantic	(27.25,27.5]	-0.7013593	-0.7039877	-0.6987309
sal + nitrate	Atlantic	(27.5,27.75]	-0.6000573	-0.7275272	-0.4725874
sal + nitrate	Atlantic	(27.75,27.85]	-0.4983956	-0.6397747	-0.3570165
sal + nitrate	Atlantic	(27.85,27.95]	-0.3470313	-0.6142818	-0.0797807
sal + nitrate	Atlantic	(27.95,28.05]	-0.5704833	-0.7929220	-0.3480445
sal + nitrate	Atlantic	(28.05,28.1]	-0.6768403	-0.8429838	-0.5106968
sal + nitrate	Atlantic	(28.1,28.15]	-0.8255174	-0.8996273	-0.7514075
sal + nitrate	Atlantic	(28.15,28.2]	-0.9138598	-0.9495578	-0.8781618
sal + nitrate	Atlantic	(28.2, Inf]	-0.9241572	-0.9591444	-0.8891700
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3552688	-0.3613762	-0.3491614
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5095489	-0.5524214	-0.4666764
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.5414233	-0.6118651	-0.4709815
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5532716	-0.5583293	-0.5482140
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3351805	-0.3498774	-0.3204836
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0286476	-0.0343209	-0.0229743
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.1183717	-0.1777083	-0.0590350
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.3482725	-0.4470853	-0.2494597
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4898898	-0.5487887	-0.4309908
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.5898146	-0.6621253	-0.5175039
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.6503546	-0.6648857	-0.6358234
sal + nitrate	Indo-Pacific	(28.1,28.2]	-0.4407541	-0.5043641	-0.3771441
sal + nitrate	Indo-Pacific	(28.2,28.3]	0.2094990	0.1370531	0.2819450
sal + nitrate	Indo-Pacific	(28.3,28.4]	0.3103669	-0.0212040	0.6419377
sal + phosphate	Atlantic	(-Inf,26]	-0.4649335	-0.5694228	-0.3604442
sal + phosphate	Atlantic	(26,26.5]	-0.7833310	-0.8081198	-0.7585422
sal + phosphate	Atlantic	(26.5,26.75]	-0.7457611	-0.7461390	-0.7453833
sal + phosphate	Atlantic	(26.75,27]	-0.6445945	-0.6485243	-0.6406647
sal + phosphate	Atlantic	(27,27.25]	-0.7369734	-0.7621140	-0.7118328
sal + phosphate	Atlantic	(27.25,27.5]	-0.7606996	-0.7656234	-0.7557759
sal + phosphate	Atlantic	(27.5,27.75]	-0.6584495	-0.7673502	-0.5495488
sal + phosphate	Atlantic	(27.75,27.85]	-0.5460144	-0.6751519	-0.4168769
sal + phosphate	Atlantic	(27.85,27.95]	-0.3663169	-0.6382440	-0.0943898
sal + phosphate	Atlantic	(27.95,28.05]	-0.5833202	-0.8076481	-0.3589923
sal + phosphate	Atlantic	(28.05,28.1]	-0.6958349	-0.8580619	-0.5336080
sal + phosphate	Atlantic	(28.1,28.15]	-0.8374789	-0.9129196	-0.7620382
sal + phosphate	Atlantic	(28.15,28.2]	-0.9166154	-0.9568272	-0.8764035
sal + phosphate	Atlantic	(28.2, Inf]	-0.9292553	-0.9599666	-0.8985439
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2047059	-0.2362489	-0.1731630
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4271886	-0.4466254	-0.4077518
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.5035160	-0.5651913	-0.4418407
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5631626	-0.5745421	-0.5517831
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3387394	-0.3554034	-0.3220754
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0098752	-0.0136525	-0.0060978
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0749773	-0.1204271	-0.0295275
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.3005344	-0.3858971	-0.2151716
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.4629761	-0.5061055	-0.4198467
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5805450	-0.6421992	-0.5188907
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6438822	-0.6526274	-0.6351370
sal + phosphate	Indo-Pacific	(28.1,28.2]	-0.4419373	-0.4927015	-0.3911732
sal + phosphate	Indo-Pacific	(28.2,28.3]	0.2097506	0.0692677	0.3502336
sal + phosphate	Indo-Pacific	(28.3,28.4]	0.3082447	0.0232540	0.5932355
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8351386	-0.8816630	-0.7886142
sal + phosphate_star	Atlantic	(26,26.5]	-0.9641291	-0.9650318	-0.9632264
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9696313	-0.9764202	-0.9628425
sal + phosphate_star	Atlantic	(26.75,27]	-0.9760565	-0.9837675	-0.9683454
sal + phosphate_star	Atlantic	(27,27.25]	-0.9752454	-0.9830583	-0.9674326
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9607988	-0.9682592	-0.9533383
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.8974966	-0.9232508	-0.8717423
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8455852	-0.8609475	-0.8302228
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.7676779	-0.8643305	-0.6710253
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.7894733	-0.9169621	-0.6619845
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.8690654	-0.9428053	-0.7953254
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9370213	-0.9625228	-0.9115197
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9702431	-0.9753063	-0.9651800
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9764648	-0.9825052	-0.9704244
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4989637	-0.5976063	-0.4003211
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8019774	-0.8235021	-0.7804527
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9029011	-0.9039005	-0.9019017
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9235184	-0.9316476	-0.9153891
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8292919	-0.8622739	-0.7963099
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5488538	-0.6701032	-0.4276044
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3226963	-0.4537214	-0.1916712
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2680897	-0.2974383	-0.2387412
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5010805	-0.5296627	-0.4724983
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7603169	-0.8150269	-0.7056068
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8544471	-0.8847735	-0.8241207
sal + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.7494178	-0.7938833	-0.7049523
sal + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7501962	-0.8021511	-0.6982413
sal + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.7196760	-0.7993728	-0.6399792
sal + silicate	Atlantic	(-Inf,26]	-0.5680907	-0.7265727	-0.4096086
sal + silicate	Atlantic	(26,26.5]	-0.7036407	-0.7463386	-0.6609428
sal + silicate	Atlantic	(26.5,26.75]	-0.6688819	-0.6736981	-0.6640658
sal + silicate	Atlantic	(26.75,27]	-0.5635108	-0.6163705	-0.5106510
sal + silicate	Atlantic	(27,27.25]	-0.7112797	-0.7582073	-0.6643522
sal + silicate	Atlantic	(27.25,27.5]	-0.7948492	-0.8062221	-0.7834763
sal + silicate	Atlantic	(27.5,27.75]	-0.6482588	-0.7671676	-0.5293500
sal + silicate	Atlantic	(27.75,27.85]	-0.5664094	-0.7234304	-0.4093884
sal + silicate	Atlantic	(27.85,27.95]	-0.4525508	-0.7145342	-0.1905675
sal + silicate	Atlantic	(27.95,28.05]	-0.6186681	-0.8379739	-0.3993623
sal + silicate	Atlantic	(28.05,28.1]	-0.6789623	-0.8537473	-0.5041773
sal + silicate	Atlantic	(28.1,28.15]	-0.8018036	-0.9070382	-0.6965690
sal + silicate	Atlantic	(28.15,28.2]	-0.8687090	-0.9329783	-0.8044396
sal + silicate	Atlantic	(28.2, Inf]	-0.8765190	-0.9208420	-0.8321960
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5440031	-0.5885356	-0.4994707
sal + silicate	Indo-Pacific	(26,26.5]	-0.6592179	-0.7038736	-0.6145623
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.7812949	-0.8051375	-0.7574524
sal + silicate	Indo-Pacific	(26.75,27]	-0.7598733	-0.7684613	-0.7512853
sal + silicate	Indo-Pacific	(27,27.25]	-0.5059111	-0.5543806	-0.4574415
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1765799	-0.2285625	-0.1245973
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0987691	-0.1235194	-0.0740189
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.3014203	-0.3708453	-0.2319953
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.4191746	-0.4630898	-0.3752594
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4847887	-0.5476405	-0.4219369
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5480174	-0.5625072	-0.5335275
sal + silicate	Indo-Pacific	(28.1,28.2]	-0.2765634	-0.3710085	-0.1821183
sal + silicate	Indo-Pacific	(28.2,28.3]	0.5797275	0.5564886	0.6029664
sal + silicate	Indo-Pacific	(28.3,28.4]	0.3875284	0.1569607	0.6180961
sal + temp	Atlantic	(-Inf,26]	0.8813448	0.8761177	0.8865719
sal + temp	Atlantic	(26,26.5]	0.9682791	0.9678765	0.9686818
sal + temp	Atlantic	(26.5,26.75]	0.9896795	0.9893492	0.9900099
sal + temp	Atlantic	(26.75,27]	0.9792839	0.9773997	0.9811681
sal + temp	Atlantic	(27,27.25]	0.9772717	0.9751756	0.9793679
sal + temp	Atlantic	(27.25,27.5]	0.9707133	0.9677415	0.9736852
sal + temp	Atlantic	(27.5,27.75]	0.9647539	0.9642782	0.9652297
sal + temp	Atlantic	(27.75,27.85]	0.9807020	0.9799268	0.9814773
sal + temp	Atlantic	(27.85,27.95]	0.9411619	0.9354886	0.9468353
sal + temp	Atlantic	(27.95,28.05]	0.8799526	0.8270369	0.9328684
sal + temp	Atlantic	(28.05,28.1]	0.9621455	0.9562623	0.9680287
sal + temp	Atlantic	(28.1,28.15]	0.9625075	0.9611828	0.9638322
sal + temp	Atlantic	(28.15,28.2]	0.8977008	0.8910119	0.9043898
sal + temp	Atlantic	(28.2, Inf]	0.2765507	0.1025402	0.4505613
sal + temp	Indo-Pacific	(-Inf,26]	0.7289936	0.6901633	0.7678239
sal + temp	Indo-Pacific	(26,26.5]	0.9372639	0.9300147	0.9445131
sal + temp	Indo-Pacific	(26.5,26.75]	0.9806662	0.9803808	0.9809516
sal + temp	Indo-Pacific	(26.75,27]	0.9777912	0.9760101	0.9795722
sal + temp	Indo-Pacific	(27,27.25]	0.9402831	0.9288132	0.9517529
sal + temp	Indo-Pacific	(27.25,27.5]	0.8421581	0.8068718	0.8774445
sal + temp	Indo-Pacific	(27.5,27.75]	0.6423940	0.5402169	0.7445712
sal + temp	Indo-Pacific	(27.75,27.85]	0.8190248	0.7783165	0.8597330
sal + temp	Indo-Pacific	(27.85,27.95]	0.7368130	0.7151593	0.7584668
sal + temp	Indo-Pacific	(27.95,28.05]	0.6927233	0.6652716	0.7201751
sal + temp	Indo-Pacific	(28.05,28.1]	0.6866501	0.6682354	0.7050649
sal + temp	Indo-Pacific	(28.1,28.2]	0.3078530	0.1868641	0.4288419
sal + temp	Indo-Pacific	(28.2,28.3]	0.8553920	0.8292611	0.8815229
sal + temp	Indo-Pacific	(28.3,28.4]	0.8055645	0.7869669	0.8241621
silicate + phosphate	Atlantic	(-Inf,26]	0.7800864	0.6864052	0.8737677
silicate + phosphate	Atlantic	(26,26.5]	0.8886972	0.8462577	0.9311368
silicate + phosphate	Atlantic	(26.5,26.75]	0.8894155	0.8101349	0.9686961
silicate + phosphate	Atlantic	(26.75,27]	0.9239649	0.9128618	0.9350681
silicate + phosphate	Atlantic	(27,27.25]	0.9501076	0.9443266	0.9558887
silicate + phosphate	Atlantic	(27.25,27.5]	0.9120046	0.8912753	0.9327339
silicate + phosphate	Atlantic	(27.5,27.75]	0.8989247	0.8945319	0.9033176
silicate + phosphate	Atlantic	(27.75,27.85]	0.9513505	0.9458483	0.9568526
silicate + phosphate	Atlantic	(27.85,27.95]	0.9578713	0.9404125	0.9753301
silicate + phosphate	Atlantic	(27.95,28.05]	0.9623756	0.9406406	0.9841105
silicate + phosphate	Atlantic	(28.05,28.1]	0.9777360	0.9659706	0.9895015
silicate + phosphate	Atlantic	(28.1,28.15]	0.9859114	0.9784152	0.9934075
silicate + phosphate	Atlantic	(28.15,28.2]	0.9880655	0.9856810	0.9904499
silicate + phosphate	Atlantic	(28.2, Inf]	0.9731609	0.9603501	0.9859717
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7863669	0.7479754	0.8247585
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7710255	0.7168196	0.8252314
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7848042	0.7787461	0.7908623
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8630504	0.8347675	0.8913332
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9226234	0.8962857	0.9489610
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9150665	0.8856161	0.9445168
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9169423	0.8989798	0.9349048
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9620331	0.9549652	0.9691011
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9701854	0.9700032	0.9703677
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9603217	0.9541732	0.9664703
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9558625	0.9484798	0.9632452
silicate + phosphate	Indo-Pacific	(28.1,28.2]	0.9063154	0.8991164	0.9135143
silicate + phosphate	Indo-Pacific	(28.2,28.3]	0.4635402	0.3610996	0.5659808
silicate + phosphate	Indo-Pacific	(28.3,28.4]	0.6738458	0.6451954	0.7024961
silicate + phosphate_star	Atlantic	(-Inf,26]	0.5776254	0.5100192	0.6452316
silicate + phosphate_star	Atlantic	(26,26.5]	0.7784031	0.7339883	0.8228179
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7481509	0.7362727	0.7600290
silicate + phosphate_star	Atlantic	(26.75,27]	0.6326214	0.5607926	0.7044502
silicate + phosphate_star	Atlantic	(27,27.25]	0.7342610	0.6741248	0.7943972
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8650711	0.8474319	0.8827103
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8632323	0.8120710	0.9143936
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.8458441	0.7522419	0.9394462
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.8042361	0.6815967	0.9268754
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.8768383	0.8129169	0.9407596
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.8841364	0.8295508	0.9387219
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9184023	0.8694353	0.9673693
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9328143	0.8930039	0.9726247
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8769344	0.8157593	0.9381096
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7776237	0.7688875	0.7863599
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7996988	0.7811801	0.8182175
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8323878	0.8287541	0.8360216
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7662108	0.7623734	0.7700482
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.3811491	0.3426332	0.4196650
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3052056	-0.3202529	-0.2901583
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5500233	-0.6232314	-0.4768151
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4365757	-0.5146298	-0.3585215
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0067857	-0.0728463	0.0592749
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3724931	0.3047480	0.4402381
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5292374	0.5085747	0.5499000
silicate + phosphate_star	Indo-Pacific	(28.1,28.2]	0.1745256	0.0728533	0.2761979
silicate + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.2668705	-0.2764477	-0.2572933
silicate + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.2653202	-0.5577898	0.0271495
temp + aou	Atlantic	(-Inf,26]	0.2680005	0.0310805	0.5049204
temp + aou	Atlantic	(26,26.5]	-0.0324745	-0.1205105	0.0555615
temp + aou	Atlantic	(26.5,26.75]	-0.3013842	-0.3081319	-0.2946365
temp + aou	Atlantic	(26.75,27]	-0.1616908	-0.1773182	-0.1460635
temp + aou	Atlantic	(27,27.25]	-0.2259050	-0.3473035	-0.1045064
temp + aou	Atlantic	(27.25,27.5]	-0.1554513	-0.2701000	-0.0408026
temp + aou	Atlantic	(27.5,27.75]	-0.2236335	-0.3482679	-0.0989990
temp + aou	Atlantic	(27.75,27.85]	-0.2210154	-0.4614670	0.0194362
temp + aou	Atlantic	(27.85,27.95]	-0.0686142	-0.4010197	0.2637914
temp + aou	Atlantic	(27.95,28.05]	-0.3675767	-0.5299689	-0.2051846
temp + aou	Atlantic	(28.05,28.1]	-0.3058671	-0.5722666	-0.0394676
temp + aou	Atlantic	(28.1,28.15]	-0.4456391	-0.6986174	-0.1926609
temp + aou	Atlantic	(28.15,28.2]	-0.5075055	-0.7453484	-0.2696626
temp + aou	Atlantic	(28.2, Inf]	0.2905000	0.1317951	0.4492049
temp + aou	Indo-Pacific	(-Inf,26]	-0.2681525	-0.3547152	-0.1815897
temp + aou	Indo-Pacific	(26,26.5]	-0.2541516	-0.3011215	-0.2071816
temp + aou	Indo-Pacific	(26.5,26.75]	-0.2009240	-0.3137456	-0.0881024
temp + aou	Indo-Pacific	(26.75,27]	-0.3087298	-0.3214492	-0.2960103
temp + aou	Indo-Pacific	(27,27.25]	-0.2320996	-0.3011610	-0.1630382
temp + aou	Indo-Pacific	(27.25,27.5]	0.0165536	-0.0145889	0.0476962
temp + aou	Indo-Pacific	(27.5,27.75]	0.0253928	-0.0271725	0.0779580
temp + aou	Indo-Pacific	(27.75,27.85]	-0.1006036	-0.2411826	0.0399754
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0721226	-0.1913954	0.0471501
temp + aou	Indo-Pacific	(27.95,28.05]	0.0453366	-0.0632427	0.1539159
temp + aou	Indo-Pacific	(28.05,28.1]	0.1807954	0.1187388	0.2428520
temp + aou	Indo-Pacific	(28.1,28.2]	0.7605143	0.7576981	0.7633305
temp + aou	Indo-Pacific	(28.2,28.3]	0.8452930	0.8038778	0.8867082
temp + aou	Indo-Pacific	(28.3,28.4]	0.9626315	0.9447524	0.9805106
temp + nitrate	Atlantic	(-Inf,26]	0.0552218	-0.1588522	0.2692959
temp + nitrate	Atlantic	(26,26.5]	-0.5220250	-0.5566231	-0.4874268
temp + nitrate	Atlantic	(26.5,26.75]	-0.5981695	-0.6031993	-0.5931396
temp + nitrate	Atlantic	(26.75,27]	-0.4937614	-0.5106419	-0.4768809
temp + nitrate	Atlantic	(27,27.25]	-0.6173618	-0.6654617	-0.5692618
temp + nitrate	Atlantic	(27.25,27.5]	-0.6712404	-0.6796421	-0.6628386
temp + nitrate	Atlantic	(27.5,27.75]	-0.5756668	-0.6902331	-0.4611005
temp + nitrate	Atlantic	(27.75,27.85]	-0.4983874	-0.6430831	-0.3536917
temp + nitrate	Atlantic	(27.85,27.95]	-0.3238378	-0.5996017	-0.0480740
temp + nitrate	Atlantic	(27.95,28.05]	-0.5517709	-0.7012158	-0.4023259
temp + nitrate	Atlantic	(28.05,28.1]	-0.5743331	-0.7404906	-0.4081756
temp + nitrate	Atlantic	(28.1,28.15]	-0.6840105	-0.7834688	-0.5845522
temp + nitrate	Atlantic	(28.15,28.2]	-0.6845660	-0.7719494	-0.5971827
temp + nitrate	Atlantic	(28.2, Inf]	-0.0324270	-0.0783875	0.0135336
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5775275	-0.6364257	-0.5186293
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5861209	-0.6286761	-0.5435657
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.5293888	-0.5981885	-0.4605891
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5662628	-0.5725113	-0.5600143
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4166941	-0.4555065	-0.3778817
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.1156377	-0.1177794	-0.1134959
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0671972	-0.1568886	0.0224943
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1740009	-0.3312162	-0.0167855
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1674384	-0.2895930	-0.0452838
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.1156055	-0.2079296	-0.0232814
temp + nitrate	Indo-Pacific	(28.05,28.1]	-0.0200388	-0.0825741	0.0424966
temp + nitrate	Indo-Pacific	(28.1,28.2]	0.5659888	0.5276589	0.6043187
temp + nitrate	Indo-Pacific	(28.2,28.3]	0.1290162	0.1210895	0.1369430
temp + nitrate	Indo-Pacific	(28.3,28.4]	0.4557464	0.1928260	0.7186669
temp + phosphate	Atlantic	(-Inf,26]	-0.4005823	-0.5225588	-0.2786058
temp + phosphate	Atlantic	(26,26.5]	-0.8051474	-0.8241428	-0.7861520
temp + phosphate	Atlantic	(26.5,26.75]	-0.7610035	-0.7664140	-0.7555930
temp + phosphate	Atlantic	(26.75,27]	-0.6289452	-0.6404909	-0.6173995
temp + phosphate	Atlantic	(27,27.25]	-0.6975461	-0.7312900	-0.6638022
temp + phosphate	Atlantic	(27.25,27.5]	-0.7352337	-0.7356950	-0.7347724
temp + phosphate	Atlantic	(27.5,27.75]	-0.6328094	-0.7334661	-0.5321526
temp + phosphate	Atlantic	(27.75,27.85]	-0.5454783	-0.6772670	-0.4136896
temp + phosphate	Atlantic	(27.85,27.95]	-0.3403020	-0.6224076	-0.0581963
temp + phosphate	Atlantic	(27.95,28.05]	-0.5627368	-0.7188352	-0.4066385
temp + phosphate	Atlantic	(28.05,28.1]	-0.5940777	-0.7588036	-0.4293518
temp + phosphate	Atlantic	(28.1,28.15]	-0.7013587	-0.8019571	-0.6007603
temp + phosphate	Atlantic	(28.15,28.2]	-0.6915250	-0.7860740	-0.5969761
temp + phosphate	Atlantic	(28.2, Inf]	-0.0451900	-0.1007977	0.0104177
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4791561	-0.5237226	-0.4345896
temp + phosphate	Indo-Pacific	(26,26.5]	-0.5125107	-0.5296659	-0.4953555
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.4918668	-0.5500637	-0.4336699
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5710942	-0.5844425	-0.5577460
temp + phosphate	Indo-Pacific	(27,27.25]	-0.4098631	-0.4471852	-0.3725409
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.0889127	-0.0973455	-0.0804799
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0169262	-0.0929079	0.0590555
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1259797	-0.2661005	0.0141412
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1412449	-0.2482228	-0.0342671
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.1040287	-0.1852027	-0.0228547
temp + phosphate	Indo-Pacific	(28.05,28.1]	-0.0071091	-0.0597344	0.0455162
temp + phosphate	Indo-Pacific	(28.1,28.2]	0.5652551	0.5100915	0.6204188
temp + phosphate	Indo-Pacific	(28.2,28.3]	0.1690709	0.0192840	0.3188578
temp + phosphate	Indo-Pacific	(28.3,28.4]	0.4459545	0.2070656	0.6848433
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7780721	-0.8476304	-0.7085139
temp + phosphate_star	Atlantic	(26,26.5]	-0.9695572	-0.9757666	-0.9633477
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9726971	-0.9824382	-0.9629561
temp + phosphate_star	Atlantic	(26.75,27]	-0.9740874	-0.9878075	-0.9603673
temp + phosphate_star	Atlantic	(27,27.25]	-0.9726202	-0.9853482	-0.9598922
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9630380	-0.9728752	-0.9532007
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.8932161	-0.9177068	-0.8687254
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8571475	-0.8778049	-0.8364901
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.7619500	-0.8637985	-0.6601015
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7625860	-0.8767668	-0.6484051
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8146383	-0.8885962	-0.7406805
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8522450	-0.8831805	-0.8213096
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8145264	-0.8277008	-0.8013520
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3115804	-0.5116620	-0.1114989
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8051735	-0.8054150	-0.8049320
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8862098	-0.8995835	-0.8728361
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9201163	-0.9230165	-0.9172161
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9547854	-0.9612953	-0.9482755
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9166015	-0.9355299	-0.8976732
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7086330	-0.7768018	-0.6404641
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4987798	-0.5704718	-0.4270877
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4050964	-0.4376906	-0.3725023
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6219007	-0.6634104	-0.5803910
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7327589	-0.7828609	-0.6826569
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6060889	-0.6249759	-0.5872020
temp + phosphate_star	Indo-Pacific	(28.1,28.2]	-0.4578151	-0.6261322	-0.2894980
temp + phosphate_star	Indo-Pacific	(28.2,28.3]	-0.7812227	-0.8071731	-0.7552724
temp + phosphate_star	Indo-Pacific	(28.3,28.4]	-0.8102999	-0.8269593	-0.7936405
temp + silicate	Atlantic	(-Inf,26]	-0.5236599	-0.6498655	-0.3974542
temp + silicate	Atlantic	(26,26.5]	-0.7300883	-0.7578289	-0.7023478
temp + silicate	Atlantic	(26.5,26.75]	-0.6996417	-0.7225329	-0.6767505
temp + silicate	Atlantic	(26.75,27]	-0.5723236	-0.6164284	-0.5282188
temp + silicate	Atlantic	(27,27.25]	-0.6910074	-0.7423572	-0.6396576
temp + silicate	Atlantic	(27.25,27.5]	-0.8185421	-0.8202195	-0.8168647
temp + silicate	Atlantic	(27.5,27.75]	-0.6781049	-0.8028156	-0.5533943
temp + silicate	Atlantic	(27.75,27.85]	-0.5860427	-0.7509263	-0.4211592
temp + silicate	Atlantic	(27.85,27.95]	-0.4515776	-0.7164930	-0.1866623
temp + silicate	Atlantic	(27.95,28.05]	-0.6568912	-0.7699913	-0.5437912
temp + silicate	Atlantic	(28.05,28.1]	-0.5766247	-0.7548111	-0.3984384
temp + silicate	Atlantic	(28.1,28.15]	-0.6553670	-0.7977066	-0.5130274
temp + silicate	Atlantic	(28.15,28.2]	-0.6147767	-0.7479212	-0.4816321
temp + silicate	Atlantic	(28.2, Inf]	0.0244114	-0.0511194	0.0999422
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6450435	-0.6883417	-0.6017453
temp + silicate	Indo-Pacific	(26,26.5]	-0.7075859	-0.7452046	-0.6699671
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.7771165	-0.7953310	-0.7589020
temp + silicate	Indo-Pacific	(26.75,27]	-0.7512740	-0.7547946	-0.7477534
temp + silicate	Indo-Pacific	(27,27.25]	-0.5471140	-0.6086350	-0.4855931
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.2676592	-0.3167662	-0.2185523
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.2001567	-0.2290140	-0.1712994
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1991325	-0.3159520	-0.0823130
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1993352	-0.3082536	-0.0904168
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.1413593	-0.2475682	-0.0351503
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0595921	-0.0067902	0.1259743
temp + silicate	Indo-Pacific	(28.1,28.2]	0.5652452	0.5621639	0.5683264
temp + silicate	Indo-Pacific	(28.2,28.3]	0.4383328	0.3678369	0.5088286
temp + silicate	Indo-Pacific	(28.3,28.4]	0.6138253	0.4114665	0.8161841

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
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]	0.4884191	0.4081414	0.5686968
aou	Atlantic	(26,26.5]	0.2400322	-0.0073862	0.4874505
aou	Atlantic	(26.5,26.75]	-0.2018671	-0.4185055	0.0147713
aou	Atlantic	(26.75,27]	-0.3277384	-0.3885348	-0.2669420
aou	Atlantic	(27,27.25]	-0.5158884	-0.6513334	-0.3804434
aou	Atlantic	(27.25,27.5]	-0.5242677	-0.6283763	-0.4201590
aou	Atlantic	(27.5,27.75]	-0.7541584	-0.7936991	-0.7146178
aou	Atlantic	(27.75,27.85]	-0.8460304	-0.9270099	-0.7650509
aou	Atlantic	(27.85,27.95]	-0.8658999	-0.9321345	-0.7996653
aou	Atlantic	(27.95,28.05]	-0.8055388	-0.8707954	-0.7402822
aou	Atlantic	(28.05,28.1]	-0.7744044	-0.8425203	-0.7062886
aou	Atlantic	(28.1,28.15]	-0.7929194	-0.8758389	-0.7099999
aou	Atlantic	(28.15,28.2]	-0.9167219	-0.9581209	-0.8753229
aou	Atlantic	(28.2, Inf]	-0.7395756	-0.9042347	-0.5749165
aou	Indo-Pacific	(-Inf,26]	-0.0861765	-0.1247040	-0.0476489
aou	Indo-Pacific	(26,26.5]	-0.7140253	-0.7745217	-0.6535289
aou	Indo-Pacific	(26.5,26.75]	-0.7029467	-0.8187581	-0.5871354
aou	Indo-Pacific	(26.75,27]	-0.7159974	-0.7882571	-0.6437377
aou	Indo-Pacific	(27,27.25]	0.0911329	0.0015297	0.1807360
aou	Indo-Pacific	(27.25,27.5]	0.6320198	0.5715205	0.6925191
aou	Indo-Pacific	(27.5,27.75]	0.7606248	0.7422613	0.7789884
aou	Indo-Pacific	(27.75,27.85]	0.8202802	0.8047340	0.8358264
aou	Indo-Pacific	(27.85,27.95]	0.7678699	0.7645827	0.7711571
aou	Indo-Pacific	(27.95,28.05]	0.5282136	0.4746549	0.5817723
aou	Indo-Pacific	(28.05,28.1]	0.2503551	0.1535821	0.3471282
aou	Indo-Pacific	(28.1,28.2]	0.2198415	0.0648003	0.3748828
aou	Indo-Pacific	(28.2,28.3]	0.0463057	-0.0020276	0.0946390
aou	Indo-Pacific	(28.3,28.4]	0.0187079	-0.1615926	0.1990084
aou	Indo-Pacific	(28.4, Inf]	NA	NA	NA
nitrate	Atlantic	(-Inf,26]	0.2685821	0.1616109	0.3755534
nitrate	Atlantic	(26,26.5]	-0.2180801	-0.4199455	-0.0162147
nitrate	Atlantic	(26.5,26.75]	-0.4665102	-0.6707300	-0.2622903
nitrate	Atlantic	(26.75,27]	-0.6065433	-0.6263466	-0.5867400
nitrate	Atlantic	(27,27.25]	-0.8117301	-0.8619933	-0.7614668
nitrate	Atlantic	(27.25,27.5]	-0.9095228	-0.9168528	-0.9021928
nitrate	Atlantic	(27.5,27.75]	-0.9501872	-0.9739933	-0.9263812
nitrate	Atlantic	(27.75,27.85]	-0.9328117	-0.9658919	-0.8997315
nitrate	Atlantic	(27.85,27.95]	-0.8822911	-0.9402752	-0.8243069
nitrate	Atlantic	(27.95,28.05]	-0.8457197	-0.9070328	-0.7844066
nitrate	Atlantic	(28.05,28.1]	-0.8344124	-0.8799593	-0.7888656
nitrate	Atlantic	(28.1,28.15]	-0.8500718	-0.9030881	-0.7970556
nitrate	Atlantic	(28.15,28.2]	-0.9794569	-0.9817232	-0.9771906
nitrate	Atlantic	(28.2, Inf]	-0.9606573	-0.9862828	-0.9350318
nitrate	Indo-Pacific	(-Inf,26]	-0.1165321	-0.1797130	-0.0533512
nitrate	Indo-Pacific	(26,26.5]	-0.8371357	-0.8620836	-0.8121878
nitrate	Indo-Pacific	(26.5,26.75]	-0.8499916	-0.9094396	-0.7905436
nitrate	Indo-Pacific	(26.75,27]	-0.8413054	-0.8773506	-0.8052603
nitrate	Indo-Pacific	(27,27.25]	0.0067522	-0.0745054	0.0880098
nitrate	Indo-Pacific	(27.25,27.5]	0.5720166	0.4785448	0.6654885
nitrate	Indo-Pacific	(27.5,27.75]	0.6958762	0.6660139	0.7257385
nitrate	Indo-Pacific	(27.75,27.85]	0.7801518	0.7574319	0.8028717
nitrate	Indo-Pacific	(27.85,27.95]	0.7162251	0.7158478	0.7166024
nitrate	Indo-Pacific	(27.95,28.05]	0.4505657	0.4058518	0.4952795
nitrate	Indo-Pacific	(28.05,28.1]	0.1748623	0.0728269	0.2768978
nitrate	Indo-Pacific	(28.1,28.2]	0.1042615	-0.0577332	0.2662561
nitrate	Indo-Pacific	(28.2,28.3]	-0.2947189	-0.3083293	-0.2811086
nitrate	Indo-Pacific	(28.3,28.4]	-0.5193947	-0.5910892	-0.4477003
nitrate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate	Atlantic	(-Inf,26]	-0.0247282	-0.1204713	0.0710150
phosphate	Atlantic	(26,26.5]	-0.4874022	-0.6574504	-0.3173541
phosphate	Atlantic	(26.5,26.75]	-0.6040375	-0.7797847	-0.4282904
phosphate	Atlantic	(26.75,27]	-0.7215620	-0.7330353	-0.7100886
phosphate	Atlantic	(27,27.25]	-0.8772295	-0.9148366	-0.8396224
phosphate	Atlantic	(27.25,27.5]	-0.9450045	-0.9513409	-0.9386680
phosphate	Atlantic	(27.5,27.75]	-0.9709216	-0.9828326	-0.9590106
phosphate	Atlantic	(27.75,27.85]	-0.9579777	-0.9693163	-0.9466391
phosphate	Atlantic	(27.85,27.95]	-0.9175753	-0.9439434	-0.8912072
phosphate	Atlantic	(27.95,28.05]	-0.8764033	-0.9116506	-0.8411559
phosphate	Atlantic	(28.05,28.1]	-0.8571120	-0.8872121	-0.8270119
phosphate	Atlantic	(28.1,28.15]	-0.8564622	-0.9030986	-0.8098257
phosphate	Atlantic	(28.15,28.2]	-0.9838188	-0.9878582	-0.9797794
phosphate	Atlantic	(28.2, Inf]	-0.9694659	-0.9923764	-0.9465555
phosphate	Indo-Pacific	(-Inf,26]	-0.1082388	-0.1871983	-0.0292794
phosphate	Indo-Pacific	(26,26.5]	-0.8466828	-0.8792821	-0.8140835
phosphate	Indo-Pacific	(26.5,26.75]	-0.8698169	-0.9232857	-0.8163482
phosphate	Indo-Pacific	(26.75,27]	-0.8545311	-0.8837472	-0.8253150
phosphate	Indo-Pacific	(27,27.25]	-0.0103899	-0.0790024	0.0582227
phosphate	Indo-Pacific	(27.25,27.5]	0.5595189	0.4782382	0.6407996
phosphate	Indo-Pacific	(27.5,27.75]	0.6758371	0.6446178	0.7070564
phosphate	Indo-Pacific	(27.75,27.85]	0.7488273	0.7277412	0.7699133
phosphate	Indo-Pacific	(27.85,27.95]	0.6838341	0.6757798	0.6918885
phosphate	Indo-Pacific	(27.95,28.05]	0.3963871	0.3269071	0.4658670
phosphate	Indo-Pacific	(28.05,28.1]	0.0949022	-0.0335400	0.2233444
phosphate	Indo-Pacific	(28.1,28.2]	-0.0132338	-0.1951419	0.1686744
phosphate	Indo-Pacific	(28.2,28.3]	-0.7109212	-0.7472043	-0.6746381
phosphate	Indo-Pacific	(28.3,28.4]	-0.7168663	-0.7495089	-0.6842237
phosphate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
phosphate_star	Atlantic	(-Inf,26]	-0.4176106	-0.4472917	-0.3879295
phosphate_star	Atlantic	(26,26.5]	-0.7244852	-0.8356677	-0.6133028
phosphate_star	Atlantic	(26.5,26.75]	-0.7682963	-0.8977482	-0.6388444
phosphate_star	Atlantic	(26.75,27]	-0.9006063	-0.9389331	-0.8622794
phosphate_star	Atlantic	(27,27.25]	-0.9242420	-0.9417905	-0.9066934
phosphate_star	Atlantic	(27.25,27.5]	-0.9241511	-0.9262207	-0.9220815
phosphate_star	Atlantic	(27.5,27.75]	-0.8847742	-0.9092095	-0.8603390
phosphate_star	Atlantic	(27.75,27.85]	-0.8229234	-0.8713457	-0.7745011
phosphate_star	Atlantic	(27.85,27.95]	-0.6968261	-0.7920789	-0.6015734
phosphate_star	Atlantic	(27.95,28.05]	-0.7868036	-0.8463390	-0.7272682
phosphate_star	Atlantic	(28.05,28.1]	-0.7973385	-0.8421351	-0.7525418
phosphate_star	Atlantic	(28.1,28.15]	-0.8102553	-0.8782330	-0.7422777
phosphate_star	Atlantic	(28.15,28.2]	-0.9707184	-0.9748600	-0.9665768
phosphate_star	Atlantic	(28.2, Inf]	-0.9587836	-0.9847936	-0.9327737
phosphate_star	Indo-Pacific	(-Inf,26]	0.0122316	-0.0807254	0.1051887
phosphate_star	Indo-Pacific	(26,26.5]	-0.8443569	-0.8564082	-0.8323055
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8634766	-0.8673566	-0.8595966
phosphate_star	Indo-Pacific	(26.75,27]	-0.7856834	-0.8237457	-0.7476212
phosphate_star	Indo-Pacific	(27,27.25]	-0.2724065	-0.3431180	-0.2016950
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3550470	-0.3788836	-0.3312104
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5801643	-0.6409038	-0.5194247
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5868682	-0.6298452	-0.5438912
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3599210	-0.3761992	-0.3436428
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2724770	-0.3192200	-0.2257339
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3301863	-0.4533210	-0.2070516
phosphate_star	Indo-Pacific	(28.1,28.2]	-0.5420886	-0.6331752	-0.4510020
phosphate_star	Indo-Pacific	(28.2,28.3]	-0.4783062	-0.4987211	-0.4578912
phosphate_star	Indo-Pacific	(28.3,28.4]	-0.4347868	-0.5883033	-0.2812704
phosphate_star	Indo-Pacific	(28.4, Inf]	NA	NA	NA
sal	Atlantic	(-Inf,26]	0.3101867	0.2269784	0.3933950
sal	Atlantic	(26,26.5]	0.6630416	0.5197186	0.8063646
sal	Atlantic	(26.5,26.75]	0.6883367	0.5147311	0.8619422
sal	Atlantic	(26.75,27]	0.8574577	0.8022464	0.9126690
sal	Atlantic	(27,27.25]	0.8895847	0.8587870	0.9203823
sal	Atlantic	(27.25,27.5]	0.8664029	0.8566944	0.8761114
sal	Atlantic	(27.5,27.75]	0.6939672	0.6083835	0.7795509
sal	Atlantic	(27.75,27.85]	0.5215840	0.4254745	0.6176935
sal	Atlantic	(27.85,27.95]	0.2234888	-0.0147693	0.4617468
sal	Atlantic	(27.95,28.05]	0.3894904	0.1613496	0.6176312
sal	Atlantic	(28.05,28.1]	0.5263680	0.3932988	0.6594373
sal	Atlantic	(28.1,28.15]	0.6359155	0.5192136	0.7526174
sal	Atlantic	(28.15,28.2]	0.9044263	0.8892804	0.9195721
sal	Atlantic	(28.2, Inf]	0.9371045	0.9124228	0.9617863
sal	Indo-Pacific	(-Inf,26]	0.0335787	0.0178558	0.0493016
sal	Indo-Pacific	(26,26.5]	0.5966564	0.5916777	0.6016350
sal	Indo-Pacific	(26.5,26.75]	0.6741111	0.6672210	0.6810011
sal	Indo-Pacific	(26.75,27]	0.5936698	0.5254712	0.6618684
sal	Indo-Pacific	(27,27.25]	-0.1885930	-0.3224759	-0.0547101
sal	Indo-Pacific	(27.25,27.5]	-0.3847055	-0.4849682	-0.2844428
sal	Indo-Pacific	(27.5,27.75]	-0.2853939	-0.3020174	-0.2687704
sal	Indo-Pacific	(27.75,27.85]	-0.4081962	-0.4434390	-0.3729535
sal	Indo-Pacific	(27.85,27.95]	-0.3502752	-0.3904807	-0.3100697
sal	Indo-Pacific	(27.95,28.05]	-0.1149321	-0.1507172	-0.0791470
sal	Indo-Pacific	(28.05,28.1]	0.0406646	-0.0208156	0.1021447
sal	Indo-Pacific	(28.1,28.2]	0.1252639	0.0638455	0.1866823
sal	Indo-Pacific	(28.2,28.3]	0.1015637	0.0798994	0.1232279
sal	Indo-Pacific	(28.3,28.4]	0.0807106	-0.1368519	0.2982731
sal	Indo-Pacific	(28.4, Inf]	NA	NA	NA
silicate	Atlantic	(-Inf,26]	0.0052722	-0.0185680	0.0291123
silicate	Atlantic	(26,26.5]	-0.4473547	-0.6290940	-0.2656155
silicate	Atlantic	(26.5,26.75]	-0.5143333	-0.7243616	-0.3043049
silicate	Atlantic	(26.75,27]	-0.6560333	-0.6991777	-0.6128888
silicate	Atlantic	(27,27.25]	-0.8491790	-0.8981729	-0.8001851
silicate	Atlantic	(27.25,27.5]	-0.9102994	-0.9320080	-0.8885907
silicate	Atlantic	(27.5,27.75]	-0.8664303	-0.8682339	-0.8646267
silicate	Atlantic	(27.75,27.85]	-0.8704724	-0.8880577	-0.8528872
silicate	Atlantic	(27.85,27.95]	-0.8312750	-0.8753825	-0.7871676
silicate	Atlantic	(27.95,28.05]	-0.8044552	-0.8598619	-0.7490485
silicate	Atlantic	(28.05,28.1]	-0.8150439	-0.8512085	-0.7788793
silicate	Atlantic	(28.1,28.15]	-0.8318084	-0.8855460	-0.7780709
silicate	Atlantic	(28.15,28.2]	-0.9624453	-0.9680706	-0.9568200
silicate	Atlantic	(28.2, Inf]	-0.9314415	-0.9677106	-0.8951725
silicate	Indo-Pacific	(-Inf,26]	-0.1347341	-0.1855564	-0.0839119
silicate	Indo-Pacific	(26,26.5]	-0.7550083	-0.7856255	-0.7243911
silicate	Indo-Pacific	(26.5,26.75]	-0.7652814	-0.7750287	-0.7555341
silicate	Indo-Pacific	(26.75,27]	-0.6781774	-0.7172674	-0.6390873
silicate	Indo-Pacific	(27,27.25]	0.2625615	0.2496295	0.2754936
silicate	Indo-Pacific	(27.25,27.5]	0.7983440	0.7879169	0.8087712
silicate	Indo-Pacific	(27.5,27.75]	0.8615323	0.8531881	0.8698766
silicate	Indo-Pacific	(27.75,27.85]	0.8398236	0.8395761	0.8400711
silicate	Indo-Pacific	(27.85,27.95]	0.7533846	0.7437330	0.7630363
silicate	Indo-Pacific	(27.95,28.05]	0.4916879	0.4294703	0.5539055
silicate	Indo-Pacific	(28.05,28.1]	0.1976362	0.0859444	0.3093280
silicate	Indo-Pacific	(28.1,28.2]	0.1134955	-0.0474036	0.2743947
silicate	Indo-Pacific	(28.2,28.3]	-0.1721966	-0.2413897	-0.1030036
silicate	Indo-Pacific	(28.3,28.4]	-0.4678894	-0.5334149	-0.4023639
silicate	Indo-Pacific	(28.4, Inf]	NA	NA	NA
temp	Atlantic	(-Inf,26]	0.1028814	0.0181764	0.1875864
temp	Atlantic	(26,26.5]	0.6472234	0.5355171	0.7589297
temp	Atlantic	(26.5,26.75]	0.6680984	0.4787147	0.8574821
temp	Atlantic	(26.75,27]	0.8235752	0.7429563	0.9041941
temp	Atlantic	(27,27.25]	0.8534642	0.8106502	0.8962782
temp	Atlantic	(27.25,27.5]	0.8381310	0.8266894	0.8495725
temp	Atlantic	(27.5,27.75]	0.6528315	0.5701632	0.7354997
temp	Atlantic	(27.75,27.85]	0.5139732	0.4160076	0.6119388
temp	Atlantic	(27.85,27.95]	0.2323184	-0.0087236	0.4733605
temp	Atlantic	(27.95,28.05]	0.3984711	0.2281628	0.5687794
temp	Atlantic	(28.05,28.1]	0.4394998	0.3107141	0.5682854
temp	Atlantic	(28.1,28.15]	0.4894942	0.3764702	0.6025183
temp	Atlantic	(28.15,28.2]	0.6744819	0.6360416	0.7129223
temp	Atlantic	(28.2, Inf]	0.1421866	0.0332352	0.2511381
temp	Indo-Pacific	(-Inf,26]	-0.3244144	-0.3634518	-0.2853770
temp	Indo-Pacific	(26,26.5]	0.5996654	0.5972801	0.6020508
temp	Indo-Pacific	(26.5,26.75]	0.6582529	0.6582058	0.6583000
temp	Indo-Pacific	(26.75,27]	0.6184415	0.5511459	0.6857370
temp	Indo-Pacific	(27,27.25]	-0.0522543	-0.1671741	0.0626656
temp	Indo-Pacific	(27.25,27.5]	-0.3466226	-0.4123107	-0.2809344
temp	Indo-Pacific	(27.5,27.75]	-0.3378940	-0.3421552	-0.3336328
temp	Indo-Pacific	(27.75,27.85]	-0.3373224	-0.4244581	-0.2501866
temp	Indo-Pacific	(27.85,27.95]	-0.2390394	-0.3271520	-0.1509268
temp	Indo-Pacific	(27.95,28.05]	-0.0132625	-0.0831283	0.0566033
temp	Indo-Pacific	(28.05,28.1]	0.1477117	0.1078785	0.1875450
temp	Indo-Pacific	(28.1,28.2]	0.2107298	0.0187005	0.4027591
temp	Indo-Pacific	(28.2,28.3]	0.0492591	-0.0086528	0.1071710
temp	Indo-Pacific	(28.3,28.4]	-0.0049698	-0.2008424	0.1909028
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