eMLR - assumption testing

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Last updated: 2021-02-10

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Knit directory: emlr_mod_v_XXX/

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Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic cmorized model subsetting 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 coefficients.

2.1 Correlation plots

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

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

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

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Past versions of predictor_correlation_per_basin-3.png

Version	Author	Date
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

/nfs/kryo/work/jenmueller/emlr_cant/model/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)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          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()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

2.2 Correlation assessment

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
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# 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]	0.7335650	0.5633370	0.9037929
aou + nitrate	Atlantic	(26,26.5]	0.9021727	0.8551587	0.9809023
aou + nitrate	Atlantic	(26.5,26.75]	0.9664633	0.9614235	0.9700200
aou + nitrate	Atlantic	(26.75,27]	0.9840741	0.9787295	0.9876832
aou + nitrate	Atlantic	(27,27.25]	0.9708673	0.9670238	0.9760865
aou + nitrate	Atlantic	(27.25,27.5]	0.9584910	0.9546872	0.9622211
aou + nitrate	Atlantic	(27.5,27.75]	0.9398996	0.9145734	0.9572403
aou + nitrate	Atlantic	(27.75,27.85]	0.9333293	0.9095656	0.9473877
aou + nitrate	Atlantic	(27.85,27.95]	0.9668779	0.9530138	0.9871103
aou + nitrate	Atlantic	(27.95,28.05]	0.9807666	0.9731236	0.9905445
aou + nitrate	Atlantic	(28.05,28.1]	0.9912449	0.9882778	0.9969036
aou + nitrate	Atlantic	(28.1,28.15]	0.9892708	0.9836244	0.9959617
aou + nitrate	Atlantic	(28.15,28.2]	0.9855127	0.9803614	0.9909455
aou + nitrate	Atlantic	(28.2, Inf]	0.9821435	0.9701106	0.9915575
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9236343	0.9103028	0.9441280
aou + nitrate	Indo-Pacific	(26,26.5]	0.8409542	0.7582341	0.8925783
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.8592281	0.8356106	0.8893086
aou + nitrate	Indo-Pacific	(26.75,27]	0.8591581	0.8034110	0.9014727
aou + nitrate	Indo-Pacific	(27,27.25]	0.8629047	0.7381993	0.9340145
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8826956	0.7752994	0.9422716
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9077271	0.8145318	0.9550183
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9487954	0.9066098	0.9713468
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9699326	0.9476968	0.9825064
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9873513	0.9774554	0.9948227
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9894494	0.9848025	0.9944769
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908909	0.9822778	0.9968252
aou + nitrate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.7185346	0.4034655	0.9166601
aou + nitrate	SO	(26.5,26.75]	0.7478621	0.5196552	0.9327446
aou + nitrate	SO	(26.75,27]	0.7940235	0.7162878	0.8458800
aou + nitrate	SO	(27,27.25]	0.8245443	0.7943155	0.8626470
aou + nitrate	SO	(27.25,27.5]	0.8268497	0.8064848	0.8636661
aou + nitrate	SO	(27.5,27.75]	0.9128933	0.8698812	0.9442088
aou + nitrate	SO	(27.75,27.85]	0.9421198	0.9032451	0.9850987
aou + nitrate	SO	(27.85,27.95]	0.8753001	0.7524711	0.9699642
aou + nitrate	SO	(27.95,28.05]	0.8076632	0.5912401	0.9533790
aou + nitrate	SO	(28.05,28.1]	0.7875024	0.6009612	0.9083408
aou + nitrate	SO	(28.1, Inf]	0.8359055	0.6983245	0.9191086
aou + nitrate	SO	(28.1,28.15]	0.5265072	0.2331804	0.6741482
aou + nitrate	SO	(28.15,28.2]	0.6566114	0.4087700	0.7844943
aou + nitrate	SO	(28.2, Inf]	0.2589223	-0.0745456	0.7534311
aou + phosphate	Atlantic	(-Inf,26]	0.9305905	0.8861831	0.9749979
aou + phosphate	Atlantic	(26,26.5]	0.9102846	0.8829541	0.9569539
aou + phosphate	Atlantic	(26.5,26.75]	0.9299176	0.9052756	0.9603400
aou + phosphate	Atlantic	(26.75,27]	0.9588065	0.9544301	0.9629032
aou + phosphate	Atlantic	(27,27.25]	0.9330188	0.9285885	0.9395388
aou + phosphate	Atlantic	(27.25,27.5]	0.9280762	0.9185256	0.9339132
aou + phosphate	Atlantic	(27.5,27.75]	0.9153084	0.8831272	0.9343432
aou + phosphate	Atlantic	(27.75,27.85]	0.9166377	0.8877535	0.9345360
aou + phosphate	Atlantic	(27.85,27.95]	0.9570675	0.9401129	0.9829035
aou + phosphate	Atlantic	(27.95,28.05]	0.9733966	0.9626498	0.9871632
aou + phosphate	Atlantic	(28.05,28.1]	0.9897811	0.9865503	0.9961485
aou + phosphate	Atlantic	(28.1,28.15]	0.9877140	0.9820950	0.9943533
aou + phosphate	Atlantic	(28.15,28.2]	0.9843302	0.9810315	0.9872974
aou + phosphate	Atlantic	(28.2, Inf]	0.9827060	0.9689652	0.9933060
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9502080	0.9438091	0.9549959
aou + phosphate	Indo-Pacific	(26,26.5]	0.9556868	0.9524811	0.9605844
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9605132	0.9540103	0.9732239
aou + phosphate	Indo-Pacific	(26.75,27]	0.9588752	0.9408984	0.9749275
aou + phosphate	Indo-Pacific	(27,27.25]	0.9575934	0.9136199	0.9831666
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9693693	0.9427030	0.9865826
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9721006	0.9445040	0.9875001
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9877607	0.9770782	0.9943505
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9944490	0.9916056	0.9972008
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9968890	0.9961031	0.9982245
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9979317	0.9968304	0.9985805
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9962907	0.9938895	0.9986491
aou + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.6554955	0.3073210	0.8548104
aou + phosphate	SO	(26.5,26.75]	0.7478651	0.6033464	0.9028100
aou + phosphate	SO	(26.75,27]	0.8039038	0.7007431	0.8877830
aou + phosphate	SO	(27,27.25]	0.8141474	0.7743395	0.8571012
aou + phosphate	SO	(27.25,27.5]	0.8150716	0.7898791	0.8617951
aou + phosphate	SO	(27.5,27.75]	0.9126024	0.8665653	0.9469443
aou + phosphate	SO	(27.75,27.85]	0.9345974	0.8925065	0.9819020
aou + phosphate	SO	(27.85,27.95]	0.8649825	0.7381320	0.9649582
aou + phosphate	SO	(27.95,28.05]	0.8050006	0.5929403	0.9476322
aou + phosphate	SO	(28.05,28.1]	0.7919362	0.6121749	0.9075861
aou + phosphate	SO	(28.1, Inf]	0.7868894	0.6123731	0.8912561
aou + phosphate	SO	(28.1,28.15]	0.5159659	0.1944791	0.6792690
aou + phosphate	SO	(28.15,28.2]	0.6519859	0.3856766	0.7859355
aou + phosphate	SO	(28.2, Inf]	0.0046706	-0.5726709	0.7648434
aou + phosphate_star	Atlantic	(-Inf,26]	0.1924238	0.0327941	0.3520535
aou + phosphate_star	Atlantic	(26,26.5]	0.4918672	0.2544579	0.8810275
aou + phosphate_star	Atlantic	(26.5,26.75]	0.3230203	0.0682566	0.7878921
aou + phosphate_star	Atlantic	(26.75,27]	-0.0486240	-0.1124801	0.0688455
aou + phosphate_star	Atlantic	(27,27.25]	0.0355256	-0.2009605	0.1780340
aou + phosphate_star	Atlantic	(27.25,27.5]	0.1628696	0.0821321	0.2252627
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5002366	0.4444158	0.5462178
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7275763	0.6523082	0.7971981
aou + phosphate_star	Atlantic	(27.85,27.95]	0.8485575	0.8015887	0.9362689
aou + phosphate_star	Atlantic	(27.95,28.05]	0.9044801	0.8572782	0.9553970
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9661338	0.9529216	0.9859253
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9581069	0.9393389	0.9770328
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9465855	0.9412292	0.9513730
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9705286	0.9580421	0.9816969
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5132096	0.4207826	0.5745539
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4381976	0.3150572	0.5162687
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.3873987	0.2747166	0.5973761
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5747199	0.4410753	0.6846699
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6827452	0.6309468	0.7830074
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6647987	0.5997062	0.7539718
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4860491	0.4108851	0.5480463
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4390545	0.3129170	0.5791890
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.3554464	0.2956401	0.3964712
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3088183	0.1370576	0.4112562
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5200570	0.2920529	0.6685887
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1509702	-0.4206266	0.0809117
aou + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.4718645	-0.9006517	0.2930701
aou + phosphate_star	SO	(26.5,26.75]	0.0405959	-0.5445887	0.5781289
aou + phosphate_star	SO	(26.75,27]	0.0239033	-0.1188662	0.2561867
aou + phosphate_star	SO	(27,27.25]	-0.0286085	-0.1190594	0.0522345
aou + phosphate_star	SO	(27.25,27.5]	-0.4698028	-0.5850724	-0.3091247
aou + phosphate_star	SO	(27.5,27.75]	-0.4386990	-0.5581827	-0.3426634
aou + phosphate_star	SO	(27.75,27.85]	-0.7574697	-0.8252786	-0.6815139
aou + phosphate_star	SO	(27.85,27.95]	-0.7456282	-0.8455042	-0.5949405
aou + phosphate_star	SO	(27.95,28.05]	-0.6467262	-0.7672162	-0.4632183
aou + phosphate_star	SO	(28.05,28.1]	-0.5852505	-0.7170125	-0.4059493
aou + phosphate_star	SO	(28.1, Inf]	-0.7494701	-0.8123459	-0.7018643
aou + phosphate_star	SO	(28.1,28.15]	0.0248898	-0.5020504	0.3293121
aou + phosphate_star	SO	(28.15,28.2]	0.2480373	-0.3339671	0.6041306
aou + phosphate_star	SO	(28.2, Inf]	-0.3420291	-0.8052364	0.3998073
aou + silicate	Atlantic	(-Inf,26]	0.0300308	-0.0955795	0.1556412
aou + silicate	Atlantic	(26,26.5]	0.4757969	0.1839884	0.9528781
aou + silicate	Atlantic	(26.5,26.75]	0.7059514	0.5635482	0.9571232
aou + silicate	Atlantic	(26.75,27]	0.7811215	0.7591222	0.8088835
aou + silicate	Atlantic	(27,27.25]	0.5828771	0.4531184	0.6697769
aou + silicate	Atlantic	(27.25,27.5]	0.6748043	0.6590890	0.7045740
aou + silicate	Atlantic	(27.5,27.75]	0.7005724	0.6285360	0.7734091
aou + silicate	Atlantic	(27.75,27.85]	0.7120176	0.6531702	0.7820418
aou + silicate	Atlantic	(27.85,27.95]	0.8069857	0.7231440	0.9237972
aou + silicate	Atlantic	(27.95,28.05]	0.8509060	0.7649249	0.9285831
aou + silicate	Atlantic	(28.05,28.1]	0.9325985	0.8905329	0.9676669
aou + silicate	Atlantic	(28.1,28.15]	0.9354373	0.9082336	0.9534938
aou + silicate	Atlantic	(28.15,28.2]	0.9186532	0.8901908	0.9395913
aou + silicate	Atlantic	(28.2, Inf]	0.9655718	0.9544341	0.9732290
aou + silicate	Indo-Pacific	(-Inf,26]	0.7975963	0.7382566	0.8689219
aou + silicate	Indo-Pacific	(26,26.5]	0.7817875	0.7392744	0.8063315
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7564055	0.7163584	0.8168680
aou + silicate	Indo-Pacific	(26.75,27]	0.8317658	0.8003176	0.8880576
aou + silicate	Indo-Pacific	(27,27.25]	0.8714293	0.8153871	0.9307650
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9007315	0.8729912	0.9507077
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9075378	0.8750620	0.9473508
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9418778	0.9288108	0.9637436
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9581275	0.9467810	0.9716179
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9458625	0.9131261	0.9702579
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9763670	0.9627139	0.9846092
aou + silicate	Indo-Pacific	(28.1, Inf]	0.7688240	0.7462976	0.7823961
aou + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
aou + silicate	SO	(26,26.5]	0.5159452	0.1870312	0.8309420
aou + silicate	SO	(26.5,26.75]	0.8904340	0.8656667	0.9087420
aou + silicate	SO	(26.75,27]	0.9315704	0.9251093	0.9377847
aou + silicate	SO	(27,27.25]	0.8358401	0.8218663	0.8576398
aou + silicate	SO	(27.25,27.5]	0.8003549	0.7700790	0.8294290
aou + silicate	SO	(27.5,27.75]	0.8848813	0.8268144	0.9368630
aou + silicate	SO	(27.75,27.85]	0.8982658	0.8429637	0.9610847
aou + silicate	SO	(27.85,27.95]	0.8455248	0.7362251	0.9460524
aou + silicate	SO	(27.95,28.05]	0.8430515	0.6947833	0.9369243
aou + silicate	SO	(28.05,28.1]	0.8602252	0.7538234	0.9243567
aou + silicate	SO	(28.1, Inf]	0.4964376	0.3083379	0.5925164
aou + silicate	SO	(28.1,28.15]	0.6147364	0.2142383	0.8849695
aou + silicate	SO	(28.15,28.2]	0.7289271	0.5057112	0.8539046
aou + silicate	SO	(28.2, Inf]	-0.2015775	-0.8607449	0.6947296
nitrate + phosphate	Atlantic	(-Inf,26]	0.5312160	0.1782070	0.8842251
nitrate + phosphate	Atlantic	(26,26.5]	0.7981455	0.6804281	0.9861712
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9525724	0.9200831	0.9957254
nitrate + phosphate	Atlantic	(26.75,27]	0.9754043	0.9719972	0.9779191
nitrate + phosphate	Atlantic	(27,27.25]	0.9849734	0.9830283	0.9875027
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9915151	0.9880672	0.9941219
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9961070	0.9953182	0.9972849
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9989298	0.9986260	0.9992201
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9992323	0.9990138	0.9996230
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9989902	0.9985268	0.9995935
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9994605	0.9991914	0.9997476
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9988598	0.9982342	0.9992817
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9930403	0.9925678	0.9939749
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9971529	0.9967483	0.9977777
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9692828	0.9543349	0.9866553
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8816602	0.7852754	0.9356490
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9014767	0.8874962	0.9240970
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9034521	0.8595387	0.9284625
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8990472	0.7965025	0.9690804
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9044213	0.8033505	0.9608096
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9402359	0.8751641	0.9775883
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9763307	0.9616186	0.9840276
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9862320	0.9760038	0.9923470
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9949151	0.9892630	0.9984585
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9951121	0.9910337	0.9978381
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9954021	0.9897261	0.9987803
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9935324	0.9895769	0.9963138
nitrate + phosphate	SO	(26.5,26.75]	0.9799041	0.9624531	0.9933452
nitrate + phosphate	SO	(26.75,27]	0.9887367	0.9857148	0.9906715
nitrate + phosphate	SO	(27,27.25]	0.9974180	0.9969237	0.9980664
nitrate + phosphate	SO	(27.25,27.5]	0.9986749	0.9980411	0.9996111
nitrate + phosphate	SO	(27.5,27.75]	0.9988166	0.9980169	0.9993990
nitrate + phosphate	SO	(27.75,27.85]	0.9987077	0.9980753	0.9992678
nitrate + phosphate	SO	(27.85,27.95]	0.9973408	0.9940683	0.9993035
nitrate + phosphate	SO	(27.95,28.05]	0.9989295	0.9987073	0.9992350
nitrate + phosphate	SO	(28.05,28.1]	0.9985019	0.9979898	0.9990669
nitrate + phosphate	SO	(28.1, Inf]	0.9751332	0.9575509	0.9864661
nitrate + phosphate	SO	(28.1,28.15]	0.9988699	0.9975197	0.9996758
nitrate + phosphate	SO	(28.15,28.2]	0.9990214	0.9981714	0.9997485
nitrate + phosphate	SO	(28.2, Inf]	0.8971510	0.8234128	0.9718731
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.2090337	0.0796168	0.3384507
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4289897	0.1454667	0.9405968
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.4350992	0.1723515	0.9089102
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0469454	-0.0160029	0.1520443
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2436648	0.0034953	0.3814055
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3917228	0.3062304	0.4427028
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7385445	0.7147555	0.7606691
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.9211510	0.9031398	0.9466260
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9520045	0.9330601	0.9783965
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9664662	0.9483577	0.9842908
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9886650	0.9831430	0.9947831
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9856693	0.9793513	0.9901658
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9747106	0.9712607	0.9781487
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9936062	0.9923607	0.9943739
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7377222	0.6400685	0.7865847
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.6413471	0.5008843	0.7565183
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6112042	0.5190282	0.7585259
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7476868	0.6820019	0.8051584
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.8027614	0.7469178	0.8526042
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7544633	0.6787468	0.8072731
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6415553	0.6093772	0.6589253
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5783484	0.4884495	0.7285801
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4526651	0.4315706	0.4651837
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4335551	0.2630462	0.5436049
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6227841	0.4134811	0.7804863
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0497504	-0.3571843	0.2250304
nitrate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	0.1083303	-0.6575040	0.7694188
nitrate + phosphate_star	SO	(26.5,26.75]	0.6248275	0.3927497	0.8235106
nitrate + phosphate_star	SO	(26.75,27]	0.5976062	0.4111267	0.7476672
nitrate + phosphate_star	SO	(27,27.25]	0.5347016	0.5027255	0.5561672
nitrate + phosphate_star	SO	(27.25,27.5]	0.0998853	0.0058774	0.2118107
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0435404	-0.0780175	-0.0146223
nitrate + phosphate_star	SO	(27.75,27.85]	-0.5058465	-0.7164343	-0.3040109
nitrate + phosphate_star	SO	(27.85,27.95]	-0.3641252	-0.6267731	0.0785784
nitrate + phosphate_star	SO	(27.95,28.05]	-0.1339927	-0.4673494	0.4368551
nitrate + phosphate_star	SO	(28.05,28.1]	-0.0081363	-0.2553776	0.4833641
nitrate + phosphate_star	SO	(28.1, Inf]	-0.3095369	-0.4856344	-0.0083587
nitrate + phosphate_star	SO	(28.1,28.15]	0.8406933	0.7216238	0.9197501
nitrate + phosphate_star	SO	(28.15,28.2]	0.8700008	0.7222164	0.9704993
nitrate + phosphate_star	SO	(28.2, Inf]	0.7359022	0.6352437	0.8769386
nitrate + silicate	Atlantic	(-Inf,26]	0.6393617	0.5198502	0.7588733
nitrate + silicate	Atlantic	(26,26.5]	0.7596641	0.6127550	0.9789263
nitrate + silicate	Atlantic	(26.5,26.75]	0.7971527	0.6927754	0.9919844
nitrate + silicate	Atlantic	(26.75,27]	0.8468606	0.8329351	0.8696430
nitrate + silicate	Atlantic	(27,27.25]	0.7444693	0.6241144	0.8197912
nitrate + silicate	Atlantic	(27.25,27.5]	0.8512194	0.8338408	0.8771558
nitrate + silicate	Atlantic	(27.5,27.75]	0.8951766	0.8814157	0.9185708
nitrate + silicate	Atlantic	(27.75,27.85]	0.9101551	0.8920187	0.9360584
nitrate + silicate	Atlantic	(27.85,27.95]	0.9199210	0.8739394	0.9666709
nitrate + silicate	Atlantic	(27.95,28.05]	0.9121238	0.8586977	0.9542889
nitrate + silicate	Atlantic	(28.05,28.1]	0.9347897	0.8936870	0.9678038
nitrate + silicate	Atlantic	(28.1,28.15]	0.9315311	0.8914720	0.9520067
nitrate + silicate	Atlantic	(28.15,28.2]	0.9138317	0.8894957	0.9335900
nitrate + silicate	Atlantic	(28.2, Inf]	0.9709572	0.9602213	0.9766012
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8613154	0.7683845	0.9361550
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8597091	0.7473962	0.9199338
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8808811	0.8399046	0.9106533
nitrate + silicate	Indo-Pacific	(26.75,27]	0.9124085	0.8987598	0.9323187
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9276596	0.8862602	0.9518696
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9352982	0.8959781	0.9587712
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9536047	0.9317583	0.9706318
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9737962	0.9667277	0.9818574
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9727690	0.9676529	0.9788812
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9587450	0.9298501	0.9763387
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9690061	0.9409311	0.9858822
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7842800	0.7755801	0.7936802
nitrate + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
nitrate + silicate	SO	(26,26.5]	0.8756619	0.7672373	0.9738907
nitrate + silicate	SO	(26.5,26.75]	0.7268952	0.5478323	0.9145504
nitrate + silicate	SO	(26.75,27]	0.8556564	0.7911153	0.8948570
nitrate + silicate	SO	(27,27.25]	0.9608324	0.9478252	0.9718860
nitrate + silicate	SO	(27.25,27.5]	0.9707129	0.9670525	0.9768763
nitrate + silicate	SO	(27.5,27.75]	0.9689365	0.9541660	0.9826303
nitrate + silicate	SO	(27.75,27.85]	0.9770190	0.9710473	0.9875626
nitrate + silicate	SO	(27.85,27.95]	0.9789157	0.9650993	0.9907726
nitrate + silicate	SO	(27.95,28.05]	0.9699815	0.9499424	0.9893440
nitrate + silicate	SO	(28.05,28.1]	0.9523205	0.9227743	0.9803567
nitrate + silicate	SO	(28.1, Inf]	0.6650116	0.6173571	0.6943077
nitrate + silicate	SO	(28.1,28.15]	0.8807070	0.7922634	0.9712583
nitrate + silicate	SO	(28.15,28.2]	0.8827358	0.8371265	0.9673099
nitrate + silicate	SO	(28.2, Inf]	0.5767123	0.3961583	0.7984498
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.3664916	0.1663615	0.5666217
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7841385	0.6489598	0.9790620
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.6281837	0.4777952	0.9277055
phosphate + phosphate_star	Atlantic	(26.75,27]	0.2233773	0.1564817	0.3519214
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3813589	0.1675167	0.5215146
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4985059	0.4402510	0.5416473
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7908963	0.7733135	0.8037296
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9379051	0.9240589	0.9585244
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9630442	0.9478269	0.9836315
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9753690	0.9617378	0.9886205
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9921460	0.9884256	0.9964595
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9904537	0.9862753	0.9938954
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9879879	0.9878516	0.9881154
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9965326	0.9960108	0.9970615
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7380998	0.6631628	0.7784507
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6714595	0.5791924	0.7458290
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6115623	0.5295799	0.7584307
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7597905	0.6690676	0.8174121
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8360102	0.7838442	0.8722329
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.8081884	0.7475883	0.8426315
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6518129	0.5629156	0.7304842
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5454779	0.4289078	0.7075821
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4276529	0.3914239	0.4499733
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3774933	0.2183583	0.4612738
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5687043	0.3638332	0.7050532
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0739741	-0.3766048	0.1857926
phosphate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	0.1872895	-0.5526548	0.8021938
phosphate + phosphate_star	SO	(26.5,26.75]	0.6455668	0.3322386	0.8700322
phosphate + phosphate_star	SO	(26.75,27]	0.5889456	0.3479047	0.7565351
phosphate + phosphate_star	SO	(27,27.25]	0.5535645	0.5344827	0.5684204
phosphate + phosphate_star	SO	(27.25,27.5]	0.1207269	0.0345929	0.2156540
phosphate + phosphate_star	SO	(27.5,27.75]	-0.0445391	-0.0713927	-0.0235402
phosphate + phosphate_star	SO	(27.75,27.85]	-0.4892231	-0.7057966	-0.2834813
phosphate + phosphate_star	SO	(27.85,27.95]	-0.3439408	-0.6122811	0.0979039
phosphate + phosphate_star	SO	(27.95,28.05]	-0.1282241	-0.4528785	0.4333026
phosphate + phosphate_star	SO	(28.05,28.1]	-0.0166803	-0.2615903	0.4679688
phosphate + phosphate_star	SO	(28.1, Inf]	-0.2201092	-0.4111059	0.1129330
phosphate + phosphate_star	SO	(28.1,28.15]	0.8463844	0.7455498	0.9176993
phosphate + phosphate_star	SO	(28.15,28.2]	0.8732372	0.7367848	0.9669955
phosphate + phosphate_star	SO	(28.2, Inf]	0.8976284	0.8657156	0.9340856
sal + aou	Atlantic	(-Inf,26]	-0.3204178	-0.3994769	-0.2413586
sal + aou	Atlantic	(26,26.5]	-0.4519815	-0.8531464	-0.1655399
sal + aou	Atlantic	(26.5,26.75]	-0.0585838	-0.6486406	0.2467006
sal + aou	Atlantic	(26.75,27]	0.4850348	0.2875097	0.5998038
sal + aou	Atlantic	(27,27.25]	0.3976431	0.1980481	0.6288548
sal + aou	Atlantic	(27.25,27.5]	0.5510681	0.4279451	0.6555674
sal + aou	Atlantic	(27.5,27.75]	0.5132779	0.3930262	0.7025647
sal + aou	Atlantic	(27.75,27.85]	0.2054811	0.1503558	0.2914390
sal + aou	Atlantic	(27.85,27.95]	0.0078295	-0.0638326	0.1452551
sal + aou	Atlantic	(27.95,28.05]	-0.1958522	-0.3044387	-0.0485904
sal + aou	Atlantic	(28.05,28.1]	-0.8279590	-0.9168684	-0.7333407
sal + aou	Atlantic	(28.1,28.15]	-0.9376488	-0.9709044	-0.9134452
sal + aou	Atlantic	(28.15,28.2]	-0.8176643	-0.8665186	-0.7839820
sal + aou	Atlantic	(28.2, Inf]	-0.9540424	-0.9580562	-0.9501300
sal + aou	Indo-Pacific	(-Inf,26]	-0.1506400	-0.2805962	0.0596174
sal + aou	Indo-Pacific	(26,26.5]	-0.2277628	-0.3869866	-0.0342253
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1006423	-0.4299690	0.1852844
sal + aou	Indo-Pacific	(26.75,27]	-0.2424138	-0.5706499	0.1330302
sal + aou	Indo-Pacific	(27,27.25]	-0.5127007	-0.7022204	-0.3203221
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5530639	-0.7387339	-0.4197799
sal + aou	Indo-Pacific	(27.5,27.75]	-0.2832330	-0.5009333	-0.0637038
sal + aou	Indo-Pacific	(27.75,27.85]	0.0954064	-0.0773305	0.3617430
sal + aou	Indo-Pacific	(27.85,27.95]	0.3012109	0.0869454	0.5833599
sal + aou	Indo-Pacific	(27.95,28.05]	0.2457156	0.1249795	0.4308139
sal + aou	Indo-Pacific	(28.05,28.1]	0.4402132	0.2197949	0.6458628
sal + aou	Indo-Pacific	(28.1, Inf]	-0.2648273	-0.4220189	-0.1713422
sal + aou	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + aou	SO	(26,26.5]	0.4223319	-0.6310821	0.9574008
sal + aou	SO	(26.5,26.75]	-0.0144109	-0.5551338	0.5176539
sal + aou	SO	(26.75,27]	-0.0356210	-0.2332273	0.0643142
sal + aou	SO	(27,27.25]	0.0022856	-0.1594563	0.1244180
sal + aou	SO	(27.25,27.5]	0.5667126	0.3544709	0.6831149
sal + aou	SO	(27.5,27.75]	0.7268402	0.6811007	0.8100572
sal + aou	SO	(27.75,27.85]	0.8622076	0.8235161	0.9282894
sal + aou	SO	(27.85,27.95]	0.8573262	0.7389262	0.9274710
sal + aou	SO	(27.95,28.05]	0.7787014	0.5614470	0.9084761
sal + aou	SO	(28.05,28.1]	0.6953903	0.4080318	0.8412513
sal + aou	SO	(28.1, Inf]	0.5936561	0.5586132	0.6383931
sal + aou	SO	(28.1,28.15]	-0.0008267	-0.3885738	0.2633000
sal + aou	SO	(28.15,28.2]	-0.2380272	-0.5523435	0.2197312
sal + aou	SO	(28.2, Inf]	-0.3247501	-0.7135053	-0.0514042
sal + nitrate	Atlantic	(-Inf,26]	-0.7546064	-0.8205875	-0.6886253
sal + nitrate	Atlantic	(26,26.5]	-0.4794443	-0.8996957	-0.1908823
sal + nitrate	Atlantic	(26.5,26.75]	-0.1526928	-0.7975603	0.1726486
sal + nitrate	Atlantic	(26.75,27]	0.4605723	0.2759723	0.5691182
sal + nitrate	Atlantic	(27,27.25]	0.2670778	0.0891308	0.4847289
sal + nitrate	Atlantic	(27.25,27.5]	0.4532643	0.3433751	0.5265903
sal + nitrate	Atlantic	(27.5,27.75]	0.4027023	0.2492369	0.6041416
sal + nitrate	Atlantic	(27.75,27.85]	-0.0026377	-0.0814155	0.1287075
sal + nitrate	Atlantic	(27.85,27.95]	-0.1204226	-0.2288382	-0.0006524
sal + nitrate	Atlantic	(27.95,28.05]	-0.1998788	-0.3195730	-0.0773812
sal + nitrate	Atlantic	(28.05,28.1]	-0.8072410	-0.9032393	-0.7110326
sal + nitrate	Atlantic	(28.1,28.15]	-0.9239138	-0.9672207	-0.8941012
sal + nitrate	Atlantic	(28.15,28.2]	-0.8561597	-0.9018817	-0.8206843
sal + nitrate	Atlantic	(28.2, Inf]	-0.9575521	-0.9777901	-0.9390739
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3263702	-0.4981341	-0.0953150
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5134763	-0.6626218	-0.4120140
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.3653734	-0.6459899	-0.0173025
sal + nitrate	Indo-Pacific	(26.75,27]	-0.4385780	-0.7180514	0.0056835
sal + nitrate	Indo-Pacific	(27,27.25]	-0.6088602	-0.7905549	-0.3101262
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.5783749	-0.7620126	-0.2693632
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.2378266	-0.4823731	0.2359431
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.1618113	-0.2769236	0.6589852
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.3371220	-0.0874501	0.7899046
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.1818934	0.0055155	0.3964252
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.3599662	0.0705716	0.5974060
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.3049529	-0.4407168	-0.1937477
sal + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + nitrate	SO	(26,26.5]	0.0092805	-0.9119181	0.8705477
sal + nitrate	SO	(26.5,26.75]	-0.5574887	-0.7684872	-0.3571126
sal + nitrate	SO	(26.75,27]	-0.5479550	-0.6859133	-0.3889357
sal + nitrate	SO	(27,27.25]	-0.5273842	-0.6068847	-0.4657994
sal + nitrate	SO	(27.25,27.5]	0.0566300	-0.1241900	0.1655875
sal + nitrate	SO	(27.5,27.75]	0.4130089	0.3815572	0.4329167
sal + nitrate	SO	(27.75,27.85]	0.6655645	0.5180300	0.8591267
sal + nitrate	SO	(27.85,27.95]	0.5368719	0.1323110	0.8194082
sal + nitrate	SO	(27.95,28.05]	0.3453254	-0.3006557	0.7805410
sal + nitrate	SO	(28.05,28.1]	0.2361153	-0.4300995	0.6286026
sal + nitrate	SO	(28.1, Inf]	0.4837880	0.4085446	0.5562758
sal + nitrate	SO	(28.1,28.15]	-0.7894197	-0.9350118	-0.6464527
sal + nitrate	SO	(28.15,28.2]	-0.8476572	-0.9427354	-0.7302444
sal + nitrate	SO	(28.2, Inf]	-0.3224099	-0.5073457	-0.1791986
sal + phosphate	Atlantic	(-Inf,26]	-0.1142834	-0.3269080	0.0983411
sal + phosphate	Atlantic	(26,26.5]	-0.6385191	-0.9476169	-0.4401305
sal + phosphate	Atlantic	(26.5,26.75]	-0.3367816	-0.8202586	-0.0714078
sal + phosphate	Atlantic	(26.75,27]	0.3210196	0.0966204	0.4429895
sal + phosphate	Atlantic	(27,27.25]	0.1361407	-0.0521302	0.3424347
sal + phosphate	Atlantic	(27.25,27.5]	0.3472862	0.2364301	0.4439304
sal + phosphate	Atlantic	(27.5,27.75]	0.3339594	0.1732436	0.5331930
sal + phosphate	Atlantic	(27.75,27.85]	-0.0369261	-0.1143362	0.0963960
sal + phosphate	Atlantic	(27.85,27.95]	-0.1483456	-0.2598382	-0.0336084
sal + phosphate	Atlantic	(27.95,28.05]	-0.2098785	-0.3267714	-0.0943768
sal + phosphate	Atlantic	(28.05,28.1]	-0.8162728	-0.9059660	-0.7293309
sal + phosphate	Atlantic	(28.1,28.15]	-0.9208137	-0.9653157	-0.8923416
sal + phosphate	Atlantic	(28.15,28.2]	-0.8002952	-0.8500969	-0.7607266
sal + phosphate	Atlantic	(28.2, Inf]	-0.9402703	-0.9587378	-0.9206021
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3025933	-0.4334232	-0.1458441
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4143730	-0.5975766	-0.2718552
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.2588753	-0.5774274	0.1261159
sal + phosphate	Indo-Pacific	(26.75,27]	-0.3246759	-0.6562911	0.2012072
sal + phosphate	Indo-Pacific	(27,27.25]	-0.5124185	-0.7403139	-0.1306681
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.5161684	-0.7328512	-0.1912227
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.2193904	-0.4689908	0.2140956
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.1296730	-0.1840330	0.5313227
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.3057692	0.0010821	0.6653873
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.2324976	0.1237038	0.4247625
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.4248284	0.1915476	0.6371916
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.2701274	-0.4347327	-0.1708425
sal + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate	SO	(26,26.5]	-0.0482914	-0.9197896	0.8085437
sal + phosphate	SO	(26.5,26.75]	-0.5795400	-0.8108763	-0.2947767
sal + phosphate	SO	(26.75,27]	-0.5431106	-0.6847823	-0.3374910
sal + phosphate	SO	(27,27.25]	-0.5533145	-0.6263418	-0.5050050
sal + phosphate	SO	(27.25,27.5]	0.0301435	-0.1306637	0.1293285
sal + phosphate	SO	(27.5,27.75]	0.4126565	0.3825380	0.4332372
sal + phosphate	SO	(27.75,27.85]	0.6547127	0.5018852	0.8537150
sal + phosphate	SO	(27.85,27.95]	0.5213457	0.1153942	0.8105454
sal + phosphate	SO	(27.95,28.05]	0.3455301	-0.2903090	0.7734639
sal + phosphate	SO	(28.05,28.1]	0.2519806	-0.4055033	0.6375512
sal + phosphate	SO	(28.1, Inf]	0.6025317	0.5603504	0.6586810
sal + phosphate	SO	(28.1,28.15]	-0.7876132	-0.9317069	-0.6381608
sal + phosphate	SO	(28.15,28.2]	-0.8459755	-0.9392770	-0.7359873
sal + phosphate	SO	(28.2, Inf]	0.0470614	-0.3443523	0.2794493
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2720794	-0.3974519	-0.1467068
sal + phosphate_star	Atlantic	(26,26.5]	-0.8432330	-0.9792498	-0.7414949
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.8760199	-0.9589206	-0.8336003
sal + phosphate_star	Atlantic	(26.75,27]	-0.7131785	-0.7511122	-0.6908408
sal + phosphate_star	Atlantic	(27,27.25]	-0.7525760	-0.8170264	-0.7106864
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.5363810	-0.5923383	-0.4451952
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.2055917	-0.3479715	-0.0565397
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.3042012	-0.3791431	-0.1815670
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.3408640	-0.4642272	-0.2706692
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.3016089	-0.4242244	-0.2249431
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.8218558	-0.9024499	-0.7492107
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8982259	-0.9523685	-0.8612863
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.7785007	-0.8246140	-0.7357628
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9402041	-0.9626824	-0.9147304
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6447473	-0.7244045	-0.5964603
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8356869	-0.9164499	-0.7340710
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7853025	-0.9326542	-0.5099716
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.6650088	-0.9488811	-0.1685993
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.6906481	-0.9536508	-0.2447048
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5535279	-0.8946318	-0.0408706
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2488761	-0.8241494	0.4631222
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1608807	-0.8892819	0.5907964
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2444505	-0.8226140	0.2759693
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.1463895	-0.6526427	0.2429542
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1246635	-0.4365320	0.1065458
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0476835	-0.1472528	0.0106931
sal + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.9059288	-0.9599066	-0.8571322
sal + phosphate_star	SO	(26.5,26.75]	-0.9524920	-0.9599867	-0.9424857
sal + phosphate_star	SO	(26.75,27]	-0.9236781	-0.9441273	-0.8975322
sal + phosphate_star	SO	(27,27.25]	-0.9635685	-0.9673442	-0.9570274
sal + phosphate_star	SO	(27.25,27.5]	-0.9421694	-0.9556690	-0.9287429
sal + phosphate_star	SO	(27.5,27.75]	-0.8901187	-0.9134805	-0.8780298
sal + phosphate_star	SO	(27.75,27.85]	-0.9458092	-0.9482846	-0.9431855
sal + phosphate_star	SO	(27.85,27.95]	-0.9525560	-0.9713164	-0.9365834
sal + phosphate_star	SO	(27.95,28.05]	-0.9143048	-0.9452196	-0.8550848
sal + phosphate_star	SO	(28.05,28.1]	-0.8824333	-0.9469181	-0.8156565
sal + phosphate_star	SO	(28.1, Inf]	-0.3082706	-0.3958696	-0.2634635
sal + phosphate_star	SO	(28.1,28.15]	-0.9367873	-0.9876284	-0.8977243
sal + phosphate_star	SO	(28.15,28.2]	-0.9526515	-0.9844191	-0.9235594
sal + phosphate_star	SO	(28.2, Inf]	0.0377744	-0.4970585	0.4481659
sal + silicate	Atlantic	(-Inf,26]	-0.8561457	-0.9222475	-0.7900439
sal + silicate	Atlantic	(26,26.5]	-0.1942681	-0.8357616	0.2265694
sal + silicate	Atlantic	(26.5,26.75]	-0.0369215	-0.7853206	0.3779520
sal + silicate	Atlantic	(26.75,27]	0.2334055	0.1569134	0.3554042
sal + silicate	Atlantic	(27,27.25]	-0.2298765	-0.2990934	-0.1933890
sal + silicate	Atlantic	(27.25,27.5]	0.1595233	0.0788570	0.2526063
sal + silicate	Atlantic	(27.5,27.75]	0.1508065	-0.0141727	0.3428597
sal + silicate	Atlantic	(27.75,27.85]	-0.3080362	-0.3752985	-0.1998441
sal + silicate	Atlantic	(27.85,27.95]	-0.4172683	-0.5230904	-0.3300306
sal + silicate	Atlantic	(27.95,28.05]	-0.4506681	-0.5489968	-0.3557913
sal + silicate	Atlantic	(28.05,28.1]	-0.9056653	-0.9425984	-0.8782346
sal + silicate	Atlantic	(28.1,28.15]	-0.8821309	-0.9290733	-0.8522090
sal + silicate	Atlantic	(28.15,28.2]	-0.6451582	-0.6673689	-0.6184006
sal + silicate	Atlantic	(28.2, Inf]	-0.9093074	-0.9202609	-0.8888953
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5198757	-0.6387589	-0.4299127
sal + silicate	Indo-Pacific	(26,26.5]	-0.5921329	-0.6977147	-0.5247674
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.5286891	-0.7461964	-0.2120161
sal + silicate	Indo-Pacific	(26.75,27]	-0.5146781	-0.7470547	-0.0772025
sal + silicate	Indo-Pacific	(27,27.25]	-0.6297009	-0.8099564	-0.2947587
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.6222874	-0.7974060	-0.2928218
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.3079110	-0.6024442	0.1862229
sal + silicate	Indo-Pacific	(27.75,27.85]	0.0691727	-0.3637962	0.5535843
sal + silicate	Indo-Pacific	(27.85,27.95]	0.2513564	-0.1525397	0.6806363
sal + silicate	Indo-Pacific	(27.95,28.05]	0.2207003	0.0056910	0.4045890
sal + silicate	Indo-Pacific	(28.05,28.1]	0.4029767	0.1105021	0.6085384
sal + silicate	Indo-Pacific	(28.1, Inf]	0.2133281	0.1444238	0.3278888
sal + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + silicate	SO	(26,26.5]	0.0329041	-0.6416085	0.8974712
sal + silicate	SO	(26.5,26.75]	-0.0645149	-0.6962698	0.5175087
sal + silicate	SO	(26.75,27]	-0.1458935	-0.3552614	-0.0361147
sal + silicate	SO	(27,27.25]	-0.4170838	-0.5670061	-0.2998459
sal + silicate	SO	(27.25,27.5]	0.0653809	-0.1050832	0.1552442
sal + silicate	SO	(27.5,27.75]	0.4040657	0.3753360	0.4518832
sal + silicate	SO	(27.75,27.85]	0.6288378	0.4551930	0.8290375
sal + silicate	SO	(27.85,27.95]	0.5185922	0.1527874	0.7890587
sal + silicate	SO	(27.95,28.05]	0.4498057	-0.0763535	0.7849250
sal + silicate	SO	(28.05,28.1]	0.4335259	-0.1048778	0.7284514
sal + silicate	SO	(28.1, Inf]	0.8249759	0.7615041	0.8616631
sal + silicate	SO	(28.1,28.15]	-0.5032987	-0.8497229	-0.1238847
sal + silicate	SO	(28.15,28.2]	-0.5924589	-0.8425202	-0.3883597
sal + silicate	SO	(28.2, Inf]	0.4504279	0.0007917	0.7233212
sal + temp	Atlantic	(-Inf,26]	0.8083028	0.7461379	0.8704676
sal + temp	Atlantic	(26,26.5]	0.9514207	0.9198252	0.9870275
sal + temp	Atlantic	(26.5,26.75]	0.9796927	0.9717628	0.9906724
sal + temp	Atlantic	(26.75,27]	0.9752923	0.9641984	0.9827905
sal + temp	Atlantic	(27,27.25]	0.9613849	0.9495333	0.9691819
sal + temp	Atlantic	(27.25,27.5]	0.9819822	0.9738444	0.9882849
sal + temp	Atlantic	(27.5,27.75]	0.9663832	0.9614783	0.9731918
sal + temp	Atlantic	(27.75,27.85]	0.9540307	0.9471409	0.9632312
sal + temp	Atlantic	(27.85,27.95]	0.9296601	0.9229825	0.9391677
sal + temp	Atlantic	(27.95,28.05]	0.8470641	0.8303969	0.8788091
sal + temp	Atlantic	(28.05,28.1]	0.8431070	0.8263585	0.8750707
sal + temp	Atlantic	(28.1,28.15]	0.7506176	0.6695158	0.8280679
sal + temp	Atlantic	(28.15,28.2]	0.7373997	0.6938809	0.7854930
sal + temp	Atlantic	(28.2, Inf]	0.9155623	0.8336623	0.9686464
sal + temp	Indo-Pacific	(-Inf,26]	0.6830163	0.5362106	0.7783630
sal + temp	Indo-Pacific	(26,26.5]	0.9454490	0.9116638	0.9625413
sal + temp	Indo-Pacific	(26.5,26.75]	0.9815466	0.9723079	0.9870322
sal + temp	Indo-Pacific	(26.75,27]	0.9822806	0.9785206	0.9849705
sal + temp	Indo-Pacific	(27,27.25]	0.9790467	0.9701517	0.9854268
sal + temp	Indo-Pacific	(27.25,27.5]	0.9332717	0.9124933	0.9546932
sal + temp	Indo-Pacific	(27.5,27.75]	0.8431791	0.8040399	0.8919552
sal + temp	Indo-Pacific	(27.75,27.85]	0.9393311	0.9155398	0.9600721
sal + temp	Indo-Pacific	(27.85,27.95]	0.9006539	0.8435290	0.9458410
sal + temp	Indo-Pacific	(27.95,28.05]	0.4030673	-0.0928166	0.8371471
sal + temp	Indo-Pacific	(28.05,28.1]	0.6908339	0.4210140	0.9056674
sal + temp	Indo-Pacific	(28.1, Inf]	-0.1629453	-0.3719479	0.0419113
sal + temp	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + temp	SO	(26,26.5]	0.9335133	0.9187879	0.9602965
sal + temp	SO	(26.5,26.75]	0.9816014	0.9754580	0.9868262
sal + temp	SO	(26.75,27]	0.9517992	0.9318985	0.9672887
sal + temp	SO	(27,27.25]	0.9478327	0.9270912	0.9587748
sal + temp	SO	(27.25,27.5]	0.9229937	0.9123368	0.9396850
sal + temp	SO	(27.5,27.75]	0.8251074	0.8017445	0.8472555
sal + temp	SO	(27.75,27.85]	0.9251949	0.9023098	0.9404886
sal + temp	SO	(27.85,27.95]	0.9348376	0.9046620	0.9537052
sal + temp	SO	(27.95,28.05]	0.9114157	0.8896170	0.9359423
sal + temp	SO	(28.05,28.1]	0.9245083	0.9003269	0.9440820
sal + temp	SO	(28.1, Inf]	0.3504405	0.2915806	0.3829934
sal + temp	SO	(28.1,28.15]	0.9039681	0.8245997	0.9544596
sal + temp	SO	(28.15,28.2]	0.9255698	0.9056415	0.9633585
sal + temp	SO	(28.2, Inf]	0.4634501	0.2916520	0.6397597
silicate + phosphate	Atlantic	(-Inf,26]	-0.1970603	-0.4925249	0.0984044
silicate + phosphate	Atlantic	(26,26.5]	0.2808252	-0.1431585	0.9541628
silicate + phosphate	Atlantic	(26.5,26.75]	0.6412163	0.4148504	0.9900970
silicate + phosphate	Atlantic	(26.75,27]	0.8665390	0.8333021	0.9199499
silicate + phosphate	Atlantic	(27,27.25]	0.8214631	0.7400680	0.8802508
silicate + phosphate	Atlantic	(27.25,27.5]	0.8895493	0.8767027	0.9135952
silicate + phosphate	Atlantic	(27.5,27.75]	0.9223269	0.9096245	0.9445621
silicate + phosphate	Atlantic	(27.75,27.85]	0.9275229	0.9110731	0.9486988
silicate + phosphate	Atlantic	(27.85,27.95]	0.9335374	0.8936965	0.9726416
silicate + phosphate	Atlantic	(27.95,28.05]	0.9250549	0.8791855	0.9612732
silicate + phosphate	Atlantic	(28.05,28.1]	0.9447612	0.9097141	0.9725219
silicate + phosphate	Atlantic	(28.1,28.15]	0.9456217	0.9134379	0.9623750
silicate + phosphate	Atlantic	(28.15,28.2]	0.9515612	0.9345637	0.9644440
silicate + phosphate	Atlantic	(28.2, Inf]	0.9832603	0.9752763	0.9886005
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8729782	0.8162713	0.9324414
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8789357	0.8654858	0.8933506
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8575833	0.8269543	0.8887642
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9008733	0.8687220	0.9247267
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9239100	0.8886358	0.9501304
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9403857	0.9250800	0.9651564
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9523185	0.9417144	0.9693850
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9656602	0.9555723	0.9759124
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9709301	0.9629400	0.9777262
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9541125	0.9228621	0.9746989
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9747335	0.9566025	0.9838841
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7886781	0.7802813	0.8035252
silicate + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate	SO	(26,26.5]	0.8936923	0.8084461	0.9918609
silicate + phosphate	SO	(26.5,26.75]	0.7202751	0.5634943	0.9116727
silicate + phosphate	SO	(26.75,27]	0.8591474	0.7691480	0.9234617
silicate + phosphate	SO	(27,27.25]	0.9552931	0.9373215	0.9692453
silicate + phosphate	SO	(27.25,27.5]	0.9741247	0.9718059	0.9785363
silicate + phosphate	SO	(27.5,27.75]	0.9784728	0.9688631	0.9876602
silicate + phosphate	SO	(27.75,27.85]	0.9853855	0.9810900	0.9924001
silicate + phosphate	SO	(27.85,27.95]	0.9877420	0.9822208	0.9945002
silicate + phosphate	SO	(27.95,28.05]	0.9767631	0.9595088	0.9930829
silicate + phosphate	SO	(28.05,28.1]	0.9638493	0.9386016	0.9860973
silicate + phosphate	SO	(28.1, Inf]	0.8056606	0.7897961	0.8149672
silicate + phosphate	SO	(28.1,28.15]	0.8936479	0.8071884	0.9757380
silicate + phosphate	SO	(28.15,28.2]	0.8955826	0.8531452	0.9716067
silicate + phosphate	SO	(28.2, Inf]	0.8721706	0.8463432	0.9170325
silicate + phosphate_star	Atlantic	(-Inf,26]	0.0957067	-0.2851561	0.4765695
silicate + phosphate_star	Atlantic	(26,26.5]	0.0171093	-0.4745446	0.9014304
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.2269209	-0.1962220	0.9088074
silicate + phosphate_star	Atlantic	(26.75,27]	0.3443617	0.2817234	0.4277088
silicate + phosphate_star	Atlantic	(27,27.25]	0.7736125	0.7601631	0.7962016
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.7274707	0.6162763	0.8043650
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9200107	0.9060466	0.9276094
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9927725	0.9908908	0.9960766
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9875318	0.9799691	0.9931503
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9698375	0.9529000	0.9812021
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9550108	0.9305036	0.9771536
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9462285	0.9098749	0.9722747
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9577817	0.9553466	0.9600772
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9862278	0.9810342	0.9892019
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7469052	0.6219216	0.8119478
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7645777	0.7513877	0.7800703
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7630157	0.6773026	0.8431464
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8155171	0.8055778	0.8297599
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8561045	0.8234777	0.8757078
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.8397641	0.8246992	0.8494474
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.7293829	0.6953319	0.7720730
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.6230094	0.5563552	0.7452870
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5084842	0.5072596	0.5105326
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4860636	0.3721629	0.5528579
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5533400	0.2945733	0.7384721
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1390848	-0.2293232	0.4511549
silicate + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate_star	SO	(26,26.5]	0.1678272	-0.6597379	0.7357974
silicate + phosphate_star	SO	(26.5,26.75]	0.1185672	-0.4697720	0.7222081
silicate + phosphate_star	SO	(26.75,27]	0.2093322	0.0829527	0.4362678
silicate + phosphate_star	SO	(27,27.25]	0.4555583	0.3699891	0.5457457
silicate + phosphate_star	SO	(27.25,27.5]	0.1082867	0.0306319	0.2371883
silicate + phosphate_star	SO	(27.5,27.75]	-0.0356884	-0.0541829	-0.0169196
silicate + phosphate_star	SO	(27.75,27.85]	-0.4371963	-0.6589898	-0.2169656
silicate + phosphate_star	SO	(27.85,27.95]	-0.3203731	-0.5709561	0.0822290
silicate + phosphate_star	SO	(27.95,28.05]	-0.2051450	-0.4447928	0.2730552
silicate + phosphate_star	SO	(28.05,28.1]	-0.1769927	-0.4128215	0.2189744
silicate + phosphate_star	SO	(28.1, Inf]	0.0403467	-0.1414698	0.3013100
silicate + phosphate_star	SO	(28.1,28.15]	0.6413659	0.4688381	0.8412540
silicate + phosphate_star	SO	(28.15,28.2]	0.6888944	0.4801932	0.8273010
silicate + phosphate_star	SO	(28.2, Inf]	0.8499924	0.7989732	0.9228754
temp + aou	Atlantic	(-Inf,26]	-0.5357809	-0.6951794	-0.3763824
temp + aou	Atlantic	(26,26.5]	-0.5445153	-0.9109261	-0.2788996
temp + aou	Atlantic	(26.5,26.75]	-0.1404071	-0.7038918	0.1493492
temp + aou	Atlantic	(26.75,27]	0.3978187	0.2276267	0.4999965
temp + aou	Atlantic	(27,27.25]	0.3521928	0.2008671	0.5367615
temp + aou	Atlantic	(27.25,27.5]	0.5567270	0.4501713	0.6410824
temp + aou	Atlantic	(27.5,27.75]	0.5198062	0.3926885	0.7009471
temp + aou	Atlantic	(27.75,27.85]	0.1387155	-0.0097094	0.2632539
temp + aou	Atlantic	(27.85,27.95]	-0.0249417	-0.1926523	0.1651519
temp + aou	Atlantic	(27.95,28.05]	-0.0766260	-0.2099823	0.1474695
temp + aou	Atlantic	(28.05,28.1]	-0.6028128	-0.6861675	-0.4609149
temp + aou	Atlantic	(28.1,28.15]	-0.6923416	-0.7635311	-0.5955110
temp + aou	Atlantic	(28.15,28.2]	-0.7669738	-0.7866102	-0.7524647
temp + aou	Atlantic	(28.2, Inf]	-0.8924038	-0.9453693	-0.8238328
temp + aou	Indo-Pacific	(-Inf,26]	-0.4008367	-0.5199960	-0.2322617
temp + aou	Indo-Pacific	(26,26.5]	-0.2499592	-0.3875219	-0.0583794
temp + aou	Indo-Pacific	(26.5,26.75]	-0.0881729	-0.4175377	0.2012125
temp + aou	Indo-Pacific	(26.75,27]	-0.2092681	-0.5184243	0.1614907
temp + aou	Indo-Pacific	(27,27.25]	-0.5029424	-0.6814229	-0.3145838
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5392911	-0.7117437	-0.4074684
temp + aou	Indo-Pacific	(27.5,27.75]	-0.2765802	-0.4502854	-0.1000022
temp + aou	Indo-Pacific	(27.75,27.85]	0.0868075	-0.0745203	0.3365645
temp + aou	Indo-Pacific	(27.85,27.95]	0.2612426	0.0322953	0.5650787
temp + aou	Indo-Pacific	(27.95,28.05]	0.2014947	0.1214952	0.2902312
temp + aou	Indo-Pacific	(28.05,28.1]	0.2730298	0.0447264	0.4390264
temp + aou	Indo-Pacific	(28.1, Inf]	0.7623165	0.6303940	0.8568095
temp + aou	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + aou	SO	(26,26.5]	0.3984352	-0.4756460	0.8622402
temp + aou	SO	(26.5,26.75]	0.0307140	-0.4587901	0.4926467
temp + aou	SO	(26.75,27]	-0.0102214	-0.2254863	0.1081376
temp + aou	SO	(27,27.25]	-0.0009300	-0.1233896	0.0977598
temp + aou	SO	(27.25,27.5]	0.3917745	0.2093474	0.5090577
temp + aou	SO	(27.5,27.75]	0.3257707	0.2531748	0.4602034
temp + aou	SO	(27.75,27.85]	0.7431350	0.6751878	0.8173013
temp + aou	SO	(27.85,27.95]	0.7902893	0.6703791	0.8567460
temp + aou	SO	(27.95,28.05]	0.7376020	0.5763937	0.8214460
temp + aou	SO	(28.05,28.1]	0.6906877	0.5310713	0.7920474
temp + aou	SO	(28.1, Inf]	0.6805912	0.6345480	0.7171665
temp + aou	SO	(28.1,28.15]	-0.1283080	-0.4205621	0.2954930
temp + aou	SO	(28.15,28.2]	-0.3339174	-0.6672121	0.1038753
temp + aou	SO	(28.2, Inf]	-0.0175843	-0.2355145	0.1918346
temp + nitrate	Atlantic	(-Inf,26]	-0.8701081	-0.8896045	-0.8506118
temp + nitrate	Atlantic	(26,26.5]	-0.5480941	-0.9472283	-0.3121636
temp + nitrate	Atlantic	(26.5,26.75]	-0.2380146	-0.8417693	0.0701877
temp + nitrate	Atlantic	(26.75,27]	0.3670014	0.2055233	0.4623487
temp + nitrate	Atlantic	(27,27.25]	0.2140629	0.0881898	0.3828685
temp + nitrate	Atlantic	(27.25,27.5]	0.4669840	0.3742901	0.5185026
temp + nitrate	Atlantic	(27.5,27.75]	0.4058916	0.2460675	0.6001924
temp + nitrate	Atlantic	(27.75,27.85]	-0.0934402	-0.2483258	0.0689192
temp + nitrate	Atlantic	(27.85,27.95]	-0.1861252	-0.2899459	-0.0213351
temp + nitrate	Atlantic	(27.95,28.05]	-0.1575105	-0.2528439	0.0290392
temp + nitrate	Atlantic	(28.05,28.1]	-0.6178356	-0.6978558	-0.4889780
temp + nitrate	Atlantic	(28.1,28.15]	-0.7165522	-0.7769789	-0.6255157
temp + nitrate	Atlantic	(28.15,28.2]	-0.8075682	-0.8433647	-0.7780013
temp + nitrate	Atlantic	(28.2, Inf]	-0.8565067	-0.9687238	-0.7089477
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.6160018	-0.7135869	-0.4593854
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5283813	-0.6645383	-0.4212162
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.3448526	-0.6329760	0.0286152
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4086484	-0.6777828	0.0394365
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6067941	-0.7827959	-0.3092991
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.5944036	-0.7613493	-0.2960737
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.3051513	-0.5098152	0.0888605
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.1365908	-0.2763919	0.6116818
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.2791083	-0.1430039	0.7480702
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.0857569	-0.0568802	0.2210062
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.1806375	-0.1063506	0.3850492
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.6915626	0.4986069	0.8284527
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	-0.1486545	-0.8731700	0.6389838
temp + nitrate	SO	(26.5,26.75]	-0.5365614	-0.7007859	-0.3917976
temp + nitrate	SO	(26.75,27]	-0.5598278	-0.6873047	-0.4264531
temp + nitrate	SO	(27,27.25]	-0.5402806	-0.5888060	-0.5002872
temp + nitrate	SO	(27.25,27.5]	-0.1809206	-0.3094200	-0.0914050
temp + nitrate	SO	(27.5,27.75]	-0.0739586	-0.1158731	-0.0296369
temp + nitrate	SO	(27.75,27.85]	0.5103796	0.3325646	0.7155863
temp + nitrate	SO	(27.85,27.95]	0.4620414	0.0816559	0.7019676
temp + nitrate	SO	(27.95,28.05]	0.3026215	-0.2417931	0.6460282
temp + nitrate	SO	(28.05,28.1]	0.2086592	-0.2762205	0.5369286
temp + nitrate	SO	(28.1, Inf]	0.4415374	0.1585892	0.6092077
temp + nitrate	SO	(28.1,28.15]	-0.8621048	-0.9329195	-0.7964981
temp + nitrate	SO	(28.15,28.2]	-0.8921926	-0.9793258	-0.8191290
temp + nitrate	SO	(28.2, Inf]	-0.6092233	-0.7549231	-0.5233960
temp + phosphate	Atlantic	(-Inf,26]	-0.3759632	-0.6742742	-0.0776522
temp + phosphate	Atlantic	(26,26.5]	-0.7043715	-0.9693965	-0.5062562
temp + phosphate	Atlantic	(26.5,26.75]	-0.4060569	-0.8604380	-0.1602484
temp + phosphate	Atlantic	(26.75,27]	0.2413629	0.0404713	0.3573678
temp + phosphate	Atlantic	(27,27.25]	0.1016585	-0.0366657	0.2627714
temp + phosphate	Atlantic	(27.25,27.5]	0.3680739	0.2740944	0.4449426
temp + phosphate	Atlantic	(27.5,27.75]	0.3416967	0.1741253	0.5345131
temp + phosphate	Atlantic	(27.75,27.85]	-0.1299562	-0.2812689	0.0332299
temp + phosphate	Atlantic	(27.85,27.95]	-0.2181840	-0.3131773	-0.0588561
temp + phosphate	Atlantic	(27.95,28.05]	-0.1803856	-0.2725039	-0.0016005
temp + phosphate	Atlantic	(28.05,28.1]	-0.6390106	-0.7112550	-0.5215739
temp + phosphate	Atlantic	(28.1,28.15]	-0.7409044	-0.7913079	-0.6631862
temp + phosphate	Atlantic	(28.15,28.2]	-0.8243881	-0.8443176	-0.8032107
temp + phosphate	Atlantic	(28.2, Inf]	-0.8530220	-0.9612392	-0.7092748
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5645009	-0.6700312	-0.4166773
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4490867	-0.6089502	-0.3032519
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.2440677	-0.5665923	0.1531150
temp + phosphate	Indo-Pacific	(26.75,27]	-0.2977828	-0.6153693	0.2293449
temp + phosphate	Indo-Pacific	(27,27.25]	-0.5121366	-0.7289437	-0.1377987
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.5349513	-0.7338919	-0.2273979
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.2737765	-0.4754937	0.0819673
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.1097583	-0.1855148	0.4896151
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.2524476	-0.0592229	0.6297382
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.1496652	0.0519664	0.2569284
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.2468791	0.0140540	0.4276355
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7265735	0.5692444	0.8442989
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	-0.2160841	-0.8850451	0.5478356
temp + phosphate	SO	(26.5,26.75]	-0.5605972	-0.7503488	-0.3348280
temp + phosphate	SO	(26.75,27]	-0.5384457	-0.6802899	-0.3453758
temp + phosphate	SO	(27,27.25]	-0.5578419	-0.5956357	-0.5313619
temp + phosphate	SO	(27.25,27.5]	-0.2003323	-0.3119974	-0.1184725
temp + phosphate	SO	(27.5,27.75]	-0.0672296	-0.1082064	-0.0297714
temp + phosphate	SO	(27.75,27.85]	0.5038583	0.3259325	0.7121842
temp + phosphate	SO	(27.85,27.95]	0.4502798	0.0728809	0.6934296
temp + phosphate	SO	(27.95,28.05]	0.3053619	-0.2298269	0.6415435
temp + phosphate	SO	(28.05,28.1]	0.2291769	-0.2477184	0.5472505
temp + phosphate	SO	(28.1, Inf]	0.4172614	0.1397930	0.5823436
temp + phosphate	SO	(28.1,28.15]	-0.8581517	-0.9255220	-0.7995145
temp + phosphate	SO	(28.15,28.2]	-0.8880733	-0.9740900	-0.8164959
temp + phosphate	SO	(28.2, Inf]	-0.4533009	-0.6888874	-0.3243291
temp + phosphate_star	Atlantic	(-Inf,26]	-0.4870671	-0.5825606	-0.3915735
temp + phosphate_star	Atlantic	(26,26.5]	-0.8585572	-0.9759307	-0.7998141
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8894837	-0.9742328	-0.8399436
temp + phosphate_star	Atlantic	(26.75,27]	-0.7185110	-0.7643412	-0.6773570
temp + phosphate_star	Atlantic	(27,27.25]	-0.7445146	-0.8075980	-0.7089817
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.5077185	-0.5668599	-0.4232877
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.2055905	-0.3543589	-0.0584999
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.4082179	-0.5098419	-0.2680914
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.4359860	-0.5128317	-0.3330649
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.3474745	-0.4363881	-0.2282958
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.6985999	-0.7512289	-0.6120558
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.7962210	-0.8264645	-0.7384123
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8756089	-0.8918633	-0.8445542
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8652694	-0.9752882	-0.7194695
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8866134	-0.9150422	-0.8596111
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8905827	-0.9488364	-0.8297566
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7806452	-0.9393865	-0.4862422
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.6667188	-0.9620273	-0.1567701
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.7137745	-0.9706048	-0.2793779
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6623904	-0.9607149	-0.1997049
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5243732	-0.9574608	0.0723792
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2778106	-0.9290547	0.4327515
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4446547	-0.9055593	0.0341271
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7382275	-0.8198569	-0.6030431
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4456335	-0.6129147	-0.1820948
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6271148	-0.7070217	-0.5647333
temp + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9776703	-0.9999320	-0.9629823
temp + phosphate_star	SO	(26.5,26.75]	-0.9592162	-0.9715478	-0.9413758
temp + phosphate_star	SO	(26.75,27]	-0.9564403	-0.9669951	-0.9402797
temp + phosphate_star	SO	(27,27.25]	-0.9782691	-0.9803002	-0.9744407
temp + phosphate_star	SO	(27.25,27.5]	-0.9915653	-0.9921892	-0.9910579
temp + phosphate_star	SO	(27.5,27.75]	-0.9806842	-0.9868042	-0.9717570
temp + phosphate_star	SO	(27.75,27.85]	-0.9670208	-0.9762121	-0.9552550
temp + phosphate_star	SO	(27.85,27.95]	-0.9611192	-0.9750782	-0.9410422
temp + phosphate_star	SO	(27.95,28.05]	-0.9365229	-0.9511055	-0.9222432
temp + phosphate_star	SO	(28.05,28.1]	-0.9149327	-0.9362789	-0.8842103
temp + phosphate_star	SO	(28.1, Inf]	-0.7691075	-0.7953574	-0.7537983
temp + phosphate_star	SO	(28.1,28.15]	-0.9567860	-0.9681045	-0.9360792
temp + phosphate_star	SO	(28.15,28.2]	-0.9675151	-0.9897583	-0.9381760
temp + phosphate_star	SO	(28.2, Inf]	-0.5766668	-0.8680087	-0.3499522
temp + silicate	Atlantic	(-Inf,26]	-0.6540142	-0.6747236	-0.6333048
temp + silicate	Atlantic	(26,26.5]	-0.2113580	-0.8916209	0.1561464
temp + silicate	Atlantic	(26.5,26.75]	-0.1105421	-0.8346066	0.2969187
temp + silicate	Atlantic	(26.75,27]	0.1387161	0.0637271	0.2803592
temp + silicate	Atlantic	(27,27.25]	-0.2638692	-0.3618946	-0.1911038
temp + silicate	Atlantic	(27.25,27.5]	0.1891137	0.1263181	0.2820812
temp + silicate	Atlantic	(27.5,27.75]	0.1650999	-0.0049756	0.3493153
temp + silicate	Atlantic	(27.75,27.85]	-0.3982283	-0.5266420	-0.2650614
temp + silicate	Atlantic	(27.85,27.95]	-0.4867265	-0.5446733	-0.4267966
temp + silicate	Atlantic	(27.95,28.05]	-0.4736378	-0.5416370	-0.4123141
temp + silicate	Atlantic	(28.05,28.1]	-0.8114745	-0.8278497	-0.7945471
temp + silicate	Atlantic	(28.1,28.15]	-0.8418014	-0.8779115	-0.8152256
temp + silicate	Atlantic	(28.15,28.2]	-0.8441275	-0.8739007	-0.8197123
temp + silicate	Atlantic	(28.2, Inf]	-0.8773488	-0.9488427	-0.7757903
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6229025	-0.7482201	-0.3776648
temp + silicate	Indo-Pacific	(26,26.5]	-0.6104433	-0.6973314	-0.5472908
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.5038295	-0.7341184	-0.1555881
temp + silicate	Indo-Pacific	(26.75,27]	-0.4808015	-0.7075830	-0.0295821
temp + silicate	Indo-Pacific	(27,27.25]	-0.6306702	-0.8182796	-0.2947547
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.6525287	-0.8235372	-0.3408395
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.4035240	-0.6355606	-0.0093838
temp + silicate	Indo-Pacific	(27.75,27.85]	0.0222223	-0.3885466	0.4843359
temp + silicate	Indo-Pacific	(27.85,27.95]	0.1565141	-0.2437345	0.5980083
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0566455	-0.1589696	0.1111781
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1527219	-0.0919950	0.3581916
temp + silicate	Indo-Pacific	(28.1, Inf]	0.4143075	0.1828517	0.5804586
temp + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
temp + silicate	SO	(26,26.5]	-0.1239640	-0.6881289	0.7426536
temp + silicate	SO	(26.5,26.75]	-0.0397702	-0.6457680	0.5008459
temp + silicate	SO	(26.75,27]	-0.1833375	-0.4069993	-0.0661040
temp + silicate	SO	(27,27.25]	-0.4782636	-0.6123825	-0.3886056
temp + silicate	SO	(27.25,27.5]	-0.1850950	-0.3306496	-0.1093211
temp + silicate	SO	(27.5,27.75]	-0.0527522	-0.0981768	-0.0227644
temp + silicate	SO	(27.75,27.85]	0.4782424	0.2868040	0.6834933
temp + silicate	SO	(27.85,27.95]	0.4355909	0.0913244	0.6616047
temp + silicate	SO	(27.95,28.05]	0.3843392	-0.0723666	0.6425842
temp + silicate	SO	(28.05,28.1]	0.4129876	0.0435710	0.6377013
temp + silicate	SO	(28.1, Inf]	0.1934108	0.0194277	0.2815636
temp + silicate	SO	(28.1,28.15]	-0.6288509	-0.7417790	-0.5608791
temp + silicate	SO	(28.15,28.2]	-0.6874098	-0.7872824	-0.5067213
temp + silicate	SO	(28.2, Inf]	-0.2000646	-0.4943128	-0.0442757

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
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# 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]	0.4257037	0.3050261	0.5463812
aou	Atlantic	(26,26.5]	0.0331288	-0.5109072	0.3606841
aou	Atlantic	(26.5,26.75]	-0.2540443	-0.8259872	0.1749002
aou	Atlantic	(26.75,27]	-0.2768931	-0.4571593	-0.1820482
aou	Atlantic	(27,27.25]	-0.3795129	-0.4290070	-0.3081409
aou	Atlantic	(27.25,27.5]	-0.7293193	-0.7762860	-0.6542047
aou	Atlantic	(27.5,27.75]	-0.8017508	-0.8759859	-0.7452696
aou	Atlantic	(27.75,27.85]	-0.8403501	-0.8864739	-0.7927779
aou	Atlantic	(27.85,27.95]	-0.9162890	-0.9658420	-0.8913810
aou	Atlantic	(27.95,28.05]	-0.8713991	-0.9495195	-0.8309736
aou	Atlantic	(28.05,28.1]	-0.9640305	-0.9848962	-0.9493834
aou	Atlantic	(28.1,28.15]	-0.9590147	-0.9849483	-0.9419308
aou	Atlantic	(28.15,28.2]	-0.9515661	-0.9730083	-0.9314331
aou	Atlantic	(28.2, Inf]	-0.9520140	-0.9868937	-0.9153476
aou	Indo-Pacific	(-Inf,26]	0.2020988	0.0960067	0.3575592
aou	Indo-Pacific	(26,26.5]	-0.4005668	-0.4892994	-0.3530515
aou	Indo-Pacific	(26.5,26.75]	-0.6360405	-0.6837153	-0.6075624
aou	Indo-Pacific	(26.75,27]	-0.7881538	-0.8140934	-0.7373001
aou	Indo-Pacific	(27,27.25]	-0.5702393	-0.6275884	-0.4558942
aou	Indo-Pacific	(27.25,27.5]	-0.2974641	-0.3592459	-0.2163592
aou	Indo-Pacific	(27.5,27.75]	0.3670282	0.3470051	0.3807397
aou	Indo-Pacific	(27.75,27.85]	0.7801353	0.7328850	0.8441178
aou	Indo-Pacific	(27.85,27.95]	0.8437964	0.8008159	0.9047802
aou	Indo-Pacific	(27.95,28.05]	0.9173265	0.9038981	0.9316247
aou	Indo-Pacific	(28.05,28.1]	0.9238689	0.8930872	0.9406973
aou	Indo-Pacific	(28.1, Inf]	0.6579185	0.5046682	0.7484851
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.5512851	0.1817531	0.8647277
aou	SO	(26.5,26.75]	-0.3346403	-0.4160373	-0.2200203
aou	SO	(26.75,27]	-0.5802680	-0.7172623	-0.4016619
aou	SO	(27,27.25]	-0.5184281	-0.6519391	-0.4019761
aou	SO	(27.25,27.5]	-0.3199267	-0.6488221	-0.1143292
aou	SO	(27.5,27.75]	-0.5390391	-0.8556652	-0.0880135
aou	SO	(27.75,27.85]	-0.5592165	-0.9363568	0.0189185
aou	SO	(27.85,27.95]	-0.5523043	-0.9431348	0.0772484
aou	SO	(27.95,28.05]	-0.5375519	-0.8904096	-0.1194591
aou	SO	(28.05,28.1]	-0.5957839	-0.8921726	-0.2666413
aou	SO	(28.1, Inf]	0.0699698	-0.0771002	0.3145074
aou	SO	(28.1,28.15]	-0.3106000	-0.6175210	-0.0312557
aou	SO	(28.15,28.2]	-0.4697319	-0.7395154	-0.3207487
aou	SO	(28.2, Inf]	0.2898416	-0.5546795	0.8984113
nitrate	Atlantic	(-Inf,26]	0.1682105	-0.0214146	0.3578356
nitrate	Atlantic	(26,26.5]	-0.1966841	-0.6030063	0.0361362
nitrate	Atlantic	(26.5,26.75]	-0.3940375	-0.9103153	0.0244399
nitrate	Atlantic	(26.75,27]	-0.3902886	-0.5667732	-0.2935846
nitrate	Atlantic	(27,27.25]	-0.5579224	-0.5920417	-0.5018735
nitrate	Atlantic	(27.25,27.5]	-0.8649337	-0.8929622	-0.8114613
nitrate	Atlantic	(27.5,27.75]	-0.9322824	-0.9650971	-0.9119905
nitrate	Atlantic	(27.75,27.85]	-0.9669539	-0.9819889	-0.9552410
nitrate	Atlantic	(27.85,27.95]	-0.9779799	-0.9881878	-0.9718291
nitrate	Atlantic	(27.95,28.05]	-0.9218184	-0.9785300	-0.8884254
nitrate	Atlantic	(28.05,28.1]	-0.9896066	-0.9950016	-0.9846545
nitrate	Atlantic	(28.1,28.15]	-0.9893247	-0.9960687	-0.9856716
nitrate	Atlantic	(28.15,28.2]	-0.9879183	-0.9936502	-0.9824729
nitrate	Atlantic	(28.2, Inf]	-0.9907722	-0.9990215	-0.9836644
nitrate	Indo-Pacific	(-Inf,26]	0.1883578	0.1195058	0.3255117
nitrate	Indo-Pacific	(26,26.5]	-0.4824551	-0.5856644	-0.3938645
nitrate	Indo-Pacific	(26.5,26.75]	-0.6968542	-0.7310671	-0.6651136
nitrate	Indo-Pacific	(26.75,27]	-0.7457558	-0.7701660	-0.7236398
nitrate	Indo-Pacific	(27,27.25]	-0.5093972	-0.5578018	-0.4213658
nitrate	Indo-Pacific	(27.25,27.5]	-0.2835579	-0.3787703	-0.1578109
nitrate	Indo-Pacific	(27.5,27.75]	0.3357092	0.2868605	0.4024688
nitrate	Indo-Pacific	(27.75,27.85]	0.8564368	0.8128523	0.9293898
nitrate	Indo-Pacific	(27.85,27.95]	0.9079344	0.8627605	0.9494579
nitrate	Indo-Pacific	(27.95,28.05]	0.9205437	0.9094741	0.9281177
nitrate	Indo-Pacific	(28.05,28.1]	0.9217239	0.9036976	0.9354564
nitrate	Indo-Pacific	(28.1, Inf]	0.6903875	0.5917017	0.7456780
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	0.1145255	-0.1492838	0.6023146
nitrate	SO	(26.5,26.75]	-0.5309069	-0.6902108	-0.3227154
nitrate	SO	(26.75,27]	-0.7714386	-0.8097364	-0.7488816
nitrate	SO	(27,27.25]	-0.8805037	-0.9223786	-0.8415188
nitrate	SO	(27.25,27.5]	-0.7597120	-0.9210986	-0.6564699
nitrate	SO	(27.5,27.75]	-0.7804049	-0.9487036	-0.5319175
nitrate	SO	(27.75,27.85]	-0.6395170	-0.9281785	-0.2642757
nitrate	SO	(27.85,27.95]	-0.6787270	-0.8964324	-0.4153036
nitrate	SO	(27.95,28.05]	-0.7013743	-0.7622965	-0.6415492
nitrate	SO	(28.05,28.1]	-0.6748793	-0.7957470	-0.5272428
nitrate	SO	(28.1, Inf]	-0.1854582	-0.2511024	-0.1441576
nitrate	SO	(28.1,28.15]	-0.6776348	-0.9832094	-0.2358761
nitrate	SO	(28.15,28.2]	-0.8281375	-0.9933935	-0.6702809
nitrate	SO	(28.2, Inf]	-0.6644110	-0.9409339	-0.4373711
phosphate	Atlantic	(-Inf,26]	0.4329790	0.3770938	0.4888643
phosphate	Atlantic	(26,26.5]	0.0158751	-0.5387179	0.3410154
phosphate	Atlantic	(26.5,26.75]	-0.3808209	-0.9070251	-0.0092163
phosphate	Atlantic	(26.75,27]	-0.3979425	-0.6056879	-0.2694527
phosphate	Atlantic	(27,27.25]	-0.6158297	-0.6793629	-0.5535752
phosphate	Atlantic	(27.25,27.5]	-0.8585657	-0.9055613	-0.8049812
phosphate	Atlantic	(27.5,27.75]	-0.9297379	-0.9615551	-0.9064052
phosphate	Atlantic	(27.75,27.85]	-0.9715501	-0.9852706	-0.9600381
phosphate	Atlantic	(27.85,27.95]	-0.9793485	-0.9877422	-0.9728658
phosphate	Atlantic	(27.95,28.05]	-0.9303132	-0.9797442	-0.8999392
phosphate	Atlantic	(28.05,28.1]	-0.9890455	-0.9949249	-0.9845165
phosphate	Atlantic	(28.1,28.15]	-0.9893390	-0.9963717	-0.9851696
phosphate	Atlantic	(28.15,28.2]	-0.9835330	-0.9905740	-0.9759709
phosphate	Atlantic	(28.2, Inf]	-0.9879798	-0.9949963	-0.9818349
phosphate	Indo-Pacific	(-Inf,26]	0.1540027	0.0264708	0.3411389
phosphate	Indo-Pacific	(26,26.5]	-0.5259115	-0.5718429	-0.4702199
phosphate	Indo-Pacific	(26.5,26.75]	-0.7615707	-0.7668206	-0.7562683
phosphate	Indo-Pacific	(26.75,27]	-0.8502857	-0.8706561	-0.8325906
phosphate	Indo-Pacific	(27,27.25]	-0.6528964	-0.6708434	-0.6223425
phosphate	Indo-Pacific	(27.25,27.5]	-0.4241274	-0.4462771	-0.4078034
phosphate	Indo-Pacific	(27.5,27.75]	0.2725990	0.2579476	0.2872029
phosphate	Indo-Pacific	(27.75,27.85]	0.8118604	0.7569107	0.8488552
phosphate	Indo-Pacific	(27.85,27.95]	0.8652017	0.8143956	0.9081731
phosphate	Indo-Pacific	(27.95,28.05]	0.9155706	0.9092156	0.9260841
phosphate	Indo-Pacific	(28.05,28.1]	0.9163898	0.8949468	0.9331980
phosphate	Indo-Pacific	(28.1, Inf]	0.6665047	0.5229063	0.7469657
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	0.0351411	-0.2274418	0.5438493
phosphate	SO	(26.5,26.75]	-0.6430191	-0.7959153	-0.4905829
phosphate	SO	(26.75,27]	-0.8356573	-0.8608240	-0.8169956
phosphate	SO	(27,27.25]	-0.8888616	-0.9291378	-0.8571250
phosphate	SO	(27.25,27.5]	-0.7711172	-0.9215137	-0.6718654
phosphate	SO	(27.5,27.75]	-0.7799268	-0.9429189	-0.5352721
phosphate	SO	(27.75,27.85]	-0.6457524	-0.9227509	-0.2899613
phosphate	SO	(27.85,27.95]	-0.6792455	-0.8903841	-0.4333232
phosphate	SO	(27.95,28.05]	-0.7000250	-0.7543025	-0.6486410
phosphate	SO	(28.05,28.1]	-0.6767660	-0.7912919	-0.5376797
phosphate	SO	(28.1, Inf]	-0.3444017	-0.4424128	-0.2952597
phosphate	SO	(28.1,28.15]	-0.6889327	-0.9857060	-0.2582169
phosphate	SO	(28.15,28.2]	-0.8398872	-0.9940659	-0.6896505
phosphate	SO	(28.2, Inf]	-0.8851517	-0.9251605	-0.8555684
phosphate_star	Atlantic	(-Inf,26]	0.1145536	-0.2093641	0.4384713
phosphate_star	Atlantic	(26,26.5]	-0.0370019	-0.4998372	0.2020541
phosphate_star	Atlantic	(26.5,26.75]	-0.4626476	-0.8878118	-0.1961906
phosphate_star	Atlantic	(26.75,27]	-0.2243203	-0.3611851	-0.1028197
phosphate_star	Atlantic	(27,27.25]	-0.6342017	-0.7053750	-0.5014925
phosphate_star	Atlantic	(27.25,27.5]	-0.4392094	-0.6129793	-0.2414739
phosphate_star	Atlantic	(27.5,27.75]	-0.7262203	-0.7604250	-0.6898467
phosphate_star	Atlantic	(27.75,27.85]	-0.9354292	-0.9620889	-0.9074199
phosphate_star	Atlantic	(27.85,27.95]	-0.9467904	-0.9655082	-0.9298352
phosphate_star	Atlantic	(27.95,28.05]	-0.9109745	-0.9698525	-0.8739757
phosphate_star	Atlantic	(28.05,28.1]	-0.9874504	-0.9944160	-0.9828445
phosphate_star	Atlantic	(28.1,28.15]	-0.9913063	-0.9943672	-0.9876416
phosphate_star	Atlantic	(28.15,28.2]	-0.9847053	-0.9896535	-0.9801980
phosphate_star	Atlantic	(28.2, Inf]	-0.9876372	-0.9949875	-0.9799508
phosphate_star	Indo-Pacific	(-Inf,26]	0.1938924	0.0728784	0.3538975
phosphate_star	Indo-Pacific	(26,26.5]	-0.4913325	-0.6271855	-0.4036294
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6207458	-0.6836669	-0.5061295
phosphate_star	Indo-Pacific	(26.75,27]	-0.5662918	-0.6353221	-0.4570585
phosphate_star	Indo-Pacific	(27,27.25]	-0.4364034	-0.5084445	-0.3182110
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4952394	-0.5180621	-0.4642300
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1373447	-0.1514826	-0.1094760
phosphate_star	Indo-Pacific	(27.75,27.85]	0.4581833	0.2961296	0.6767928
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3690655	0.3423528	0.4167213
phosphate_star	Indo-Pacific	(27.95,28.05]	0.3918966	0.2113035	0.5407953
phosphate_star	Indo-Pacific	(28.05,28.1]	0.5076712	0.1879100	0.7733677
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0792407	-0.2580920	0.3843415
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.6474049	-0.9937739	-0.4460259
phosphate_star	SO	(26.5,26.75]	-0.5504974	-0.7791561	-0.1802576
phosphate_star	SO	(26.75,27]	-0.5595892	-0.7689448	-0.2820006
phosphate_star	SO	(27,27.25]	-0.7735130	-0.7983134	-0.7381347
phosphate_star	SO	(27.25,27.5]	-0.6188333	-0.7545843	-0.4766216
phosphate_star	SO	(27.5,27.75]	-0.3667542	-0.7157140	-0.1024895
phosphate_star	SO	(27.75,27.85]	0.2974506	-0.4614259	0.7591019
phosphate_star	SO	(27.85,27.95]	0.2959120	-0.5872614	0.7995653
phosphate_star	SO	(27.95,28.05]	0.1892106	-0.5957850	0.8312244
phosphate_star	SO	(28.05,28.1]	0.2259127	-0.5956234	0.7865324
phosphate_star	SO	(28.1, Inf]	-0.3951409	-0.7326383	-0.2070184
phosphate_star	SO	(28.1,28.15]	-0.5597455	-0.9217288	-0.2448731
phosphate_star	SO	(28.15,28.2]	-0.7465383	-0.9342270	-0.5934677
phosphate_star	SO	(28.2, Inf]	-0.9418690	-0.9642154	-0.9149051
sal	Atlantic	(-Inf,26]	0.3454529	-0.0222728	0.7131786
sal	Atlantic	(26,26.5]	0.0163396	-0.1507174	0.3338906
sal	Atlantic	(26.5,26.75]	0.2031641	-0.1674601	0.7502287
sal	Atlantic	(26.75,27]	-0.4217106	-0.4786715	-0.3720151
sal	Atlantic	(27,27.25]	0.0085031	-0.2016075	0.1819978
sal	Atlantic	(27.25,27.5]	-0.5020795	-0.6307196	-0.4220016
sal	Atlantic	(27.5,27.75]	-0.5106343	-0.6395293	-0.4302976
sal	Atlantic	(27.75,27.85]	-0.0403050	-0.1682722	0.0868695
sal	Atlantic	(27.85,27.95]	0.0327452	-0.0490646	0.1136975
sal	Atlantic	(27.95,28.05]	-0.0359224	-0.1465031	0.0266461
sal	Atlantic	(28.05,28.1]	0.7400084	0.6366199	0.8644039
sal	Atlantic	(28.1,28.15]	0.8771361	0.8347378	0.9491890
sal	Atlantic	(28.15,28.2]	0.8313002	0.7772036	0.8917638
sal	Atlantic	(28.2, Inf]	0.9239576	0.8735433	0.9784755
sal	Indo-Pacific	(-Inf,26]	0.0684794	-0.1894874	0.3954859
sal	Indo-Pacific	(26,26.5]	0.2497684	0.0853082	0.3677000
sal	Indo-Pacific	(26.5,26.75]	0.2102087	-0.3086291	0.4781576
sal	Indo-Pacific	(26.75,27]	0.0130623	-0.5569991	0.3226275
sal	Indo-Pacific	(27,27.25]	-0.1080076	-0.5747460	0.1502175
sal	Indo-Pacific	(27.25,27.5]	-0.1333384	-0.5583321	0.1330498
sal	Indo-Pacific	(27.5,27.75]	-0.2544482	-0.3037829	-0.1745242
sal	Indo-Pacific	(27.75,27.85]	0.2621731	-0.2325571	0.7512405
sal	Indo-Pacific	(27.85,27.95]	0.3864422	-0.1637743	0.8884923
sal	Indo-Pacific	(27.95,28.05]	0.0699416	-0.1342074	0.2519874
sal	Indo-Pacific	(28.05,28.1]	0.2322401	-0.1620572	0.4594711
sal	Indo-Pacific	(28.1, Inf]	0.1488151	-0.0292730	0.3103216
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.5852986	0.3305490	0.9829535
sal	SO	(26.5,26.75]	0.4202773	0.0635043	0.6873999
sal	SO	(26.75,27]	0.4918611	0.2929533	0.7270062
sal	SO	(27,27.25]	0.7659017	0.7265199	0.7979115
sal	SO	(27.25,27.5]	0.4849562	0.3963948	0.5738604
sal	SO	(27.5,27.75]	0.0136291	-0.2849717	0.4179917
sal	SO	(27.75,27.85]	-0.4092619	-0.8676931	0.3500329
sal	SO	(27.85,27.95]	-0.3519793	-0.9087573	0.5809615
sal	SO	(27.95,28.05]	-0.1960088	-0.8459182	0.6291105
sal	SO	(28.05,28.1]	-0.2388519	-0.8707185	0.6311550
sal	SO	(28.1, Inf]	-0.4062070	-0.6069861	-0.1731539
sal	SO	(28.1,28.15]	0.6296720	0.2556798	0.9409510
sal	SO	(28.15,28.2]	0.8020502	0.7224675	0.9558291
sal	SO	(28.2, Inf]	-0.2113249	-0.6451496	0.4779883
silicate	Atlantic	(-Inf,26]	-0.4398243	-0.8146090	-0.0650397
silicate	Atlantic	(26,26.5]	-0.5157702	-0.7090931	-0.4026531
silicate	Atlantic	(26.5,26.75]	-0.5509209	-0.9351797	-0.2569520
silicate	Atlantic	(26.75,27]	-0.6140558	-0.6980999	-0.5362573
silicate	Atlantic	(27,27.25]	-0.8587988	-0.9150955	-0.8188523
silicate	Atlantic	(27.25,27.5]	-0.9154282	-0.9464603	-0.8936750
silicate	Atlantic	(27.5,27.75]	-0.9131518	-0.9325660	-0.8812178
silicate	Atlantic	(27.75,27.85]	-0.9305874	-0.9512760	-0.9151902
silicate	Atlantic	(27.85,27.95]	-0.9107993	-0.9486632	-0.8857835
silicate	Atlantic	(27.95,28.05]	-0.8299562	-0.9255031	-0.7732805
silicate	Atlantic	(28.05,28.1]	-0.9063596	-0.9536049	-0.8563050
silicate	Atlantic	(28.1,28.15]	-0.9110170	-0.9482330	-0.8540642
silicate	Atlantic	(28.15,28.2]	-0.9062924	-0.9234636	-0.8975461
silicate	Atlantic	(28.2, Inf]	-0.9563231	-0.9761059	-0.9312922
silicate	Indo-Pacific	(-Inf,26]	0.0492794	-0.2461843	0.2839671
silicate	Indo-Pacific	(26,26.5]	-0.6197083	-0.6408816	-0.5989715
silicate	Indo-Pacific	(26.5,26.75]	-0.7564589	-0.7773324	-0.7360598
silicate	Indo-Pacific	(26.75,27]	-0.7216480	-0.7381628	-0.7053971
silicate	Indo-Pacific	(27,27.25]	-0.4852195	-0.5345317	-0.4418316
silicate	Indo-Pacific	(27.25,27.5]	-0.2383688	-0.2604829	-0.2024811
silicate	Indo-Pacific	(27.5,27.75]	0.3869713	0.3683273	0.4034177
silicate	Indo-Pacific	(27.75,27.85]	0.8722077	0.8209255	0.9125924
silicate	Indo-Pacific	(27.85,27.95]	0.9011371	0.8542811	0.9513865
silicate	Indo-Pacific	(27.95,28.05]	0.9573331	0.9530964	0.9632882
silicate	Indo-Pacific	(28.05,28.1]	0.9577172	0.9382089	0.9739092
silicate	Indo-Pacific	(28.1, Inf]	0.8953113	0.8059461	0.9550418
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	-0.2093452	-0.5209716	0.2225519
silicate	SO	(26.5,26.75]	-0.3815080	-0.5046875	-0.2807818
silicate	SO	(26.75,27]	-0.6386323	-0.7684088	-0.4634086
silicate	SO	(27,27.25]	-0.8095110	-0.8600997	-0.7352948
silicate	SO	(27.25,27.5]	-0.7326827	-0.8932033	-0.6233258
silicate	SO	(27.5,27.75]	-0.7686406	-0.9082148	-0.5352860
silicate	SO	(27.75,27.85]	-0.6729490	-0.9029287	-0.3532821
silicate	SO	(27.85,27.95]	-0.6602680	-0.8707481	-0.3921754
silicate	SO	(27.95,28.05]	-0.6502352	-0.7431985	-0.5456655
silicate	SO	(28.05,28.1]	-0.6573643	-0.7405131	-0.5898288
silicate	SO	(28.1, Inf]	-0.6573921	-0.6739308	-0.6291518
silicate	SO	(28.1,28.15]	-0.6959809	-0.9658287	-0.3649185
silicate	SO	(28.15,28.2]	-0.7878666	-0.9568043	-0.6649781
silicate	SO	(28.2, Inf]	-0.9038656	-0.9792110	-0.7847953
temp	Atlantic	(-Inf,26]	-0.1637110	-0.4679999	0.1405779
temp	Atlantic	(26,26.5]	-0.0807965	-0.3388260	0.4081336
temp	Atlantic	(26.5,26.75]	0.2040062	-0.1663943	0.7846532
temp	Atlantic	(26.75,27]	-0.4160052	-0.4563928	-0.3633888
temp	Atlantic	(27,27.25]	0.0245483	-0.2052840	0.2233740
temp	Atlantic	(27.25,27.5]	-0.5274705	-0.6521866	-0.4346679
temp	Atlantic	(27.5,27.75]	-0.5069837	-0.6294073	-0.4161723
temp	Atlantic	(27.75,27.85]	0.0716855	-0.0818065	0.2597033
temp	Atlantic	(27.85,27.95]	0.1341697	0.0135091	0.2193549
temp	Atlantic	(27.95,28.05]	0.0074646	-0.1487594	0.1492597
temp	Atlantic	(28.05,28.1]	0.5837043	0.4596402	0.6813916
temp	Atlantic	(28.1,28.15]	0.7150882	0.6303622	0.7625936
temp	Atlantic	(28.15,28.2]	0.8227589	0.7603062	0.8708665
temp	Atlantic	(28.2, Inf]	0.8019665	0.5918715	0.9726200
temp	Indo-Pacific	(-Inf,26]	-0.4829755	-0.5443507	-0.4519906
temp	Indo-Pacific	(26,26.5]	0.1773069	-0.0017597	0.3064539
temp	Indo-Pacific	(26.5,26.75]	0.1552617	-0.3913655	0.4310672
temp	Indo-Pacific	(26.75,27]	-0.0320110	-0.5957989	0.2623178
temp	Indo-Pacific	(27,27.25]	-0.1037065	-0.5515235	0.1421238
temp	Indo-Pacific	(27.25,27.5]	-0.0032577	-0.3943996	0.2340749
temp	Indo-Pacific	(27.5,27.75]	-0.0437199	-0.0835167	0.0227324
temp	Indo-Pacific	(27.75,27.85]	0.2460958	-0.2253084	0.7220370
temp	Indo-Pacific	(27.85,27.95]	0.3318529	-0.2157726	0.8505735
temp	Indo-Pacific	(27.95,28.05]	-0.0634273	-0.1851783	0.0756449
temp	Indo-Pacific	(28.05,28.1]	0.0252148	-0.3297389	0.2298887
temp	Indo-Pacific	(28.1, Inf]	0.2761494	-0.1135578	0.5409216
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.5135443	0.2545000	0.9934083
temp	SO	(26.5,26.75]	0.3834295	0.0462439	0.6361353
temp	SO	(26.75,27]	0.4117415	0.1666700	0.6610837
temp	SO	(27,27.25]	0.7253501	0.7084708	0.7503292
temp	SO	(27.25,27.5]	0.6610212	0.5515643	0.7708849
temp	SO	(27.5,27.75]	0.4514266	0.1989873	0.7660767
temp	SO	(27.75,27.85]	-0.3638445	-0.7456356	0.3079020
temp	SO	(27.85,27.95]	-0.3920454	-0.8406945	0.3822064
temp	SO	(27.95,28.05]	-0.3187923	-0.8602420	0.3691369
temp	SO	(28.05,28.1]	-0.3624008	-0.8860202	0.3777112
temp	SO	(28.1, Inf]	0.0397950	-0.1599493	0.3105963
temp	SO	(28.1,28.15]	0.4823528	0.0942686	0.8268404
temp	SO	(28.15,28.2]	0.6985308	0.5889707	0.8792687
temp	SO	(28.2, Inf]	0.4154140	0.1669326	0.8395241

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_0.7.3      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_1.0.2      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_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1