eMLR - assumption testing

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Last updated: 2021-02-08

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Knit directory: emlr_mod_v_XXX/

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Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
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
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
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
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
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]	0.8519488	0.8320600	0.8905997
aou + nitrate	Atlantic	(26,26.5]	0.8844607	0.8574739	0.9035818
aou + nitrate	Atlantic	(26.5,26.75]	0.9733484	0.9710125	0.9771868
aou + nitrate	Atlantic	(26.75,27]	0.9856817	0.9825608	0.9881294
aou + nitrate	Atlantic	(27,27.25]	0.9757518	0.9725986	0.9789056
aou + nitrate	Atlantic	(27.25,27.5]	0.9587450	0.9560294	0.9625016
aou + nitrate	Atlantic	(27.5,27.75]	0.9453564	0.9417401	0.9509073
aou + nitrate	Atlantic	(27.75,27.85]	0.9213360	0.9074981	0.9367049
aou + nitrate	Atlantic	(27.85,27.95]	0.9389487	0.9224191	0.9521504
aou + nitrate	Atlantic	(27.95,28.05]	0.9702560	0.9670307	0.9730748
aou + nitrate	Atlantic	(28.05,28.1]	0.9883760	0.9855582	0.9897859
aou + nitrate	Atlantic	(28.1,28.15]	0.9859458	0.9812171	0.9891944
aou + nitrate	Atlantic	(28.15,28.2]	0.9801722	0.9712872	0.9876928
aou + nitrate	Atlantic	(28.2, Inf]	0.9836516	0.9786272	0.9880083
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9322731	0.9293621	0.9342136
aou + nitrate	Indo-Pacific	(26,26.5]	0.8695661	0.8652905	0.8764470
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7593218	0.7395510	0.7981349
aou + nitrate	Indo-Pacific	(26.75,27]	0.7764601	0.7653126	0.7874577
aou + nitrate	Indo-Pacific	(27,27.25]	0.8203193	0.8145937	0.8268671
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8588939	0.8402715	0.8738880
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9158958	0.9113021	0.9216031
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9692097	0.9657913	0.9745688
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9736475	0.9717127	0.9747945
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9871941	0.9861421	0.9889062
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9877164	0.9855958	0.9889092
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9904375	0.9900832	0.9908918
aou + nitrate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8610286	0.8304846	0.9017495
aou + nitrate	SO	(26.5,26.75]	0.6959883	0.6518626	0.7718700
aou + nitrate	SO	(26.75,27]	0.7881820	0.7784314	0.8053872
aou + nitrate	SO	(27,27.25]	0.7288829	0.7226386	0.7347837
aou + nitrate	SO	(27.25,27.5]	0.7906838	0.7779592	0.8057706
aou + nitrate	SO	(27.5,27.75]	0.8873575	0.8794502	0.8949265
aou + nitrate	SO	(27.75,27.85]	0.9604031	0.9570132	0.9647507
aou + nitrate	SO	(27.85,27.95]	0.9424973	0.9393969	0.9468118
aou + nitrate	SO	(27.95,28.05]	0.8906785	0.8807642	0.9026114
aou + nitrate	SO	(28.05,28.1]	0.7995498	0.7805215	0.8182333
aou + nitrate	SO	(28.1, Inf]	0.8999426	0.8951682	0.9045936
aou + nitrate	SO	(28.1,28.15]	0.3841730	0.3484977	0.4243807
aou + nitrate	SO	(28.15,28.2]	0.5751140	0.5391138	0.6115720
aou + nitrate	SO	(28.2, Inf]	0.5015214	0.4945242	0.5096075
aou + phosphate	Atlantic	(-Inf,26]	0.9495911	0.9401809	0.9555338
aou + phosphate	Atlantic	(26,26.5]	0.8915884	0.8749814	0.9039500
aou + phosphate	Atlantic	(26.5,26.75]	0.9452871	0.9418647	0.9484555
aou + phosphate	Atlantic	(26.75,27]	0.9671242	0.9613053	0.9735870
aou + phosphate	Atlantic	(27,27.25]	0.9536394	0.9503952	0.9592212
aou + phosphate	Atlantic	(27.25,27.5]	0.9358944	0.9315362	0.9411451
aou + phosphate	Atlantic	(27.5,27.75]	0.9256212	0.9213586	0.9325935
aou + phosphate	Atlantic	(27.75,27.85]	0.8995092	0.8827742	0.9180007
aou + phosphate	Atlantic	(27.85,27.95]	0.9219253	0.9021057	0.9379160
aou + phosphate	Atlantic	(27.95,28.05]	0.9593611	0.9555094	0.9627927
aou + phosphate	Atlantic	(28.05,28.1]	0.9844671	0.9810140	0.9865099
aou + phosphate	Atlantic	(28.1,28.15]	0.9825256	0.9774459	0.9852228
aou + phosphate	Atlantic	(28.15,28.2]	0.9806111	0.9689840	0.9891578
aou + phosphate	Atlantic	(28.2, Inf]	0.9852655	0.9810307	0.9889292
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9678623	0.9653368	0.9697638
aou + phosphate	Indo-Pacific	(26,26.5]	0.9605067	0.9588999	0.9616227
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9671024	0.9657301	0.9679333
aou + phosphate	Indo-Pacific	(26.75,27]	0.9638031	0.9635451	0.9642989
aou + phosphate	Indo-Pacific	(27,27.25]	0.9740018	0.9731889	0.9745860
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9799830	0.9792321	0.9809946
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9833970	0.9828599	0.9837950
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9927148	0.9911501	0.9940729
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9939023	0.9937437	0.9941856
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9971077	0.9968730	0.9973279
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9982822	0.9980608	0.9984305
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9971569	0.9970374	0.9972661
aou + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.7966267	0.7675323	0.8410682
aou + phosphate	SO	(26.5,26.75]	0.6405800	0.5988803	0.7219001
aou + phosphate	SO	(26.75,27]	0.7891918	0.7788332	0.8086447
aou + phosphate	SO	(27,27.25]	0.7196674	0.7118695	0.7267326
aou + phosphate	SO	(27.25,27.5]	0.7762940	0.7613672	0.7931854
aou + phosphate	SO	(27.5,27.75]	0.8854016	0.8763687	0.8946644
aou + phosphate	SO	(27.75,27.85]	0.9561234	0.9524492	0.9610788
aou + phosphate	SO	(27.85,27.95]	0.9371733	0.9343597	0.9418597
aou + phosphate	SO	(27.95,28.05]	0.8862587	0.8755673	0.8987869
aou + phosphate	SO	(28.05,28.1]	0.8057511	0.7885821	0.8228598
aou + phosphate	SO	(28.1, Inf]	0.8768729	0.8713819	0.8802198
aou + phosphate	SO	(28.1,28.15]	0.3546132	0.3149125	0.4005021
aou + phosphate	SO	(28.15,28.2]	0.5660707	0.5300895	0.6045746
aou + phosphate	SO	(28.2, Inf]	0.4039440	0.3854956	0.4143143
aou + phosphate_star	Atlantic	(-Inf,26]	0.0625042	0.0039412	0.1298416
aou + phosphate_star	Atlantic	(26,26.5]	0.3848911	0.3278784	0.4185842
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2213622	0.2081098	0.2454253
aou + phosphate_star	Atlantic	(26.75,27]	0.0781576	0.0196385	0.1255424
aou + phosphate_star	Atlantic	(27,27.25]	0.2850572	0.2703367	0.3094151
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4380863	0.4266156	0.4461568
aou + phosphate_star	Atlantic	(27.5,27.75]	0.4795416	0.4601459	0.5037939
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6218869	0.5922336	0.6577658
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7459127	0.7097869	0.7802761
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8553487	0.8442105	0.8730066
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9399027	0.9319874	0.9455156
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9386320	0.9325693	0.9488019
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9405009	0.9199410	0.9577740
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9687734	0.9636927	0.9740964
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6267144	0.6108740	0.6362956
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4337135	0.4222266	0.4461037
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4306350	0.4241317	0.4339018
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5379400	0.5333795	0.5410516
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6474413	0.6372702	0.6621112
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6194862	0.6176243	0.6214506
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4611765	0.4375871	0.4823128
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4294534	0.4049650	0.4514168
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4156504	0.4003834	0.4308023
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4964644	0.4793135	0.5189798
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6617293	0.6547423	0.6688176
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0261636	0.0189537	0.0316536
aou + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.6634660	-0.8498504	-0.5243794
aou + phosphate_star	SO	(26.5,26.75]	-0.2321233	-0.3226624	-0.0946299
aou + phosphate_star	SO	(26.75,27]	0.2247198	0.1995224	0.2528625
aou + phosphate_star	SO	(27,27.25]	0.0209231	-0.0051203	0.0477445
aou + phosphate_star	SO	(27.25,27.5]	-0.4244402	-0.4711057	-0.3907804
aou + phosphate_star	SO	(27.5,27.75]	-0.4834988	-0.5146200	-0.4601045
aou + phosphate_star	SO	(27.75,27.85]	-0.7994454	-0.8208142	-0.7773547
aou + phosphate_star	SO	(27.85,27.95]	-0.8092909	-0.8293141	-0.7844187
aou + phosphate_star	SO	(27.95,28.05]	-0.7619407	-0.7651626	-0.7587881
aou + phosphate_star	SO	(28.05,28.1]	-0.6717334	-0.7087718	-0.6242905
aou + phosphate_star	SO	(28.1, Inf]	-0.6361431	-0.6422566	-0.6264162
aou + phosphate_star	SO	(28.1,28.15]	-0.5218039	-0.5931921	-0.4588135
aou + phosphate_star	SO	(28.15,28.2]	-0.1411064	-0.1888012	-0.0813177
aou + phosphate_star	SO	(28.2, Inf]	-0.1680839	-0.2764517	-0.0979435
aou + silicate	Atlantic	(-Inf,26]	0.1009782	0.0436733	0.1353864
aou + silicate	Atlantic	(26,26.5]	0.2184383	0.1827259	0.2668717
aou + silicate	Atlantic	(26.5,26.75]	0.6062460	0.5892144	0.6304402
aou + silicate	Atlantic	(26.75,27]	0.7749739	0.7480789	0.8106578
aou + silicate	Atlantic	(27,27.25]	0.7267696	0.7032736	0.7555167
aou + silicate	Atlantic	(27.25,27.5]	0.6922810	0.6830116	0.7092614
aou + silicate	Atlantic	(27.5,27.75]	0.6905715	0.6761156	0.7137854
aou + silicate	Atlantic	(27.75,27.85]	0.6002095	0.5589183	0.6460663
aou + silicate	Atlantic	(27.85,27.95]	0.6744567	0.6332192	0.7145034
aou + silicate	Atlantic	(27.95,28.05]	0.8086180	0.7980197	0.8252655
aou + silicate	Atlantic	(28.05,28.1]	0.9041394	0.8981703	0.9111128
aou + silicate	Atlantic	(28.1,28.15]	0.9243859	0.9155563	0.9336499
aou + silicate	Atlantic	(28.15,28.2]	0.9329136	0.9189819	0.9401691
aou + silicate	Atlantic	(28.2, Inf]	0.9591848	0.9576950	0.9601050
aou + silicate	Indo-Pacific	(-Inf,26]	0.8628775	0.8608239	0.8667023
aou + silicate	Indo-Pacific	(26,26.5]	0.7869505	0.7839462	0.7910810
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7523937	0.7469021	0.7623890
aou + silicate	Indo-Pacific	(26.75,27]	0.8062456	0.8035353	0.8106290
aou + silicate	Indo-Pacific	(27,27.25]	0.8699573	0.8671495	0.8731849
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9051980	0.9007457	0.9078232
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9071323	0.9054580	0.9091457
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9459001	0.9419985	0.9521943
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9368115	0.9352756	0.9385258
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9647912	0.9613419	0.9669715
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9782637	0.9770793	0.9791911
aou + silicate	Indo-Pacific	(28.1, Inf]	0.7559919	0.7514674	0.7598986
aou + silicate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + silicate	SO	(26,26.5]	0.9128197	0.9035734	0.9264861
aou + silicate	SO	(26.5,26.75]	0.8739628	0.8599580	0.8945937
aou + silicate	SO	(26.75,27]	0.8700454	0.8626512	0.8778787
aou + silicate	SO	(27,27.25]	0.7564623	0.7464875	0.7690659
aou + silicate	SO	(27.25,27.5]	0.7507581	0.7393758	0.7612917
aou + silicate	SO	(27.5,27.75]	0.8422773	0.8349166	0.8557731
aou + silicate	SO	(27.75,27.85]	0.9162224	0.9086615	0.9250575
aou + silicate	SO	(27.85,27.95]	0.9117281	0.9085464	0.9136992
aou + silicate	SO	(27.95,28.05]	0.8868396	0.8778748	0.8930341
aou + silicate	SO	(28.05,28.1]	0.8566677	0.8401369	0.8724611
aou + silicate	SO	(28.1, Inf]	0.6010690	0.5901724	0.6084503
aou + silicate	SO	(28.1,28.15]	0.4214427	0.3404316	0.5196010
aou + silicate	SO	(28.15,28.2]	0.6959787	0.6369315	0.7516298
aou + silicate	SO	(28.2, Inf]	0.1202770	0.0627528	0.1885618
nitrate + phosphate	Atlantic	(-Inf,26]	0.7718119	0.7199354	0.8184846
nitrate + phosphate	Atlantic	(26,26.5]	0.7505346	0.7251403	0.7675072
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9544448	0.9513822	0.9561093
nitrate + phosphate	Atlantic	(26.75,27]	0.9789077	0.9776736	0.9801903
nitrate + phosphate	Atlantic	(27,27.25]	0.9887902	0.9886146	0.9891203
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9951885	0.9951096	0.9952515
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9971521	0.9970248	0.9972999
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9985009	0.9983532	0.9986402
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9987932	0.9986887	0.9989000
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9985294	0.9983876	0.9987062
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9992096	0.9991577	0.9992695
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9984966	0.9982766	0.9986869
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9917314	0.9912901	0.9920626
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9965287	0.9962171	0.9967440
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9553765	0.9493771	0.9590255
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8977261	0.8924575	0.9026890
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7835573	0.7625933	0.8246680
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8113559	0.7986864	0.8253495
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8408289	0.8324632	0.8497234
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8592111	0.8396428	0.8740478
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9281053	0.9225786	0.9347857
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9786560	0.9760425	0.9803228
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9872714	0.9856538	0.9883350
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9954926	0.9946407	0.9966133
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9938927	0.9923429	0.9947176
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9950955	0.9950080	0.9952311
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9698324	0.9632765	0.9744072
nitrate + phosphate	SO	(26.5,26.75]	0.9737012	0.9696871	0.9769314
nitrate + phosphate	SO	(26.75,27]	0.9918807	0.9906836	0.9928080
nitrate + phosphate	SO	(27,27.25]	0.9971045	0.9967375	0.9973523
nitrate + phosphate	SO	(27.25,27.5]	0.9981390	0.9977802	0.9983703
nitrate + phosphate	SO	(27.5,27.75]	0.9988646	0.9988492	0.9988941
nitrate + phosphate	SO	(27.75,27.85]	0.9986658	0.9984867	0.9987628
nitrate + phosphate	SO	(27.85,27.95]	0.9986259	0.9984835	0.9988301
nitrate + phosphate	SO	(27.95,28.05]	0.9984979	0.9983185	0.9986155
nitrate + phosphate	SO	(28.05,28.1]	0.9977712	0.9975623	0.9980046
nitrate + phosphate	SO	(28.1, Inf]	0.9846193	0.9843677	0.9850081
nitrate + phosphate	SO	(28.1,28.15]	0.9980699	0.9978727	0.9983215
nitrate + phosphate	SO	(28.15,28.2]	0.9987157	0.9985020	0.9989084
nitrate + phosphate	SO	(28.2, Inf]	0.9355345	0.9291254	0.9391728
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.2112887	0.1504920	0.3270272
nitrate + phosphate_star	Atlantic	(26,26.5]	0.2936995	0.2619851	0.3255393
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3099490	0.2886968	0.3466355
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1715334	0.1133613	0.2039274
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4545970	0.4441478	0.4602252
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6547892	0.6436923	0.6665189
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7108923	0.6999871	0.7178906
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8732135	0.8715937	0.8755391
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9266695	0.9240011	0.9311077
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9518743	0.9472951	0.9585913
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9776573	0.9759194	0.9793732
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9774237	0.9717194	0.9814455
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9736930	0.9720560	0.9757571
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9915680	0.9911407	0.9920946
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7704064	0.7672154	0.7726879
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.6163625	0.6140167	0.6195970
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5615917	0.5515801	0.5815260
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6677034	0.6590836	0.6767938
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7368549	0.7232739	0.7475143
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6614714	0.6520065	0.6666441
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5907007	0.5729171	0.6104130
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5305581	0.4954727	0.5665531
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5590490	0.5502830	0.5713120
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6192774	0.6048476	0.6329212
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7633622	0.7550850	0.7691863
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1389485	0.1351694	0.1447081
nitrate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.2470085	-0.5838759	-0.0472502
nitrate + phosphate_star	SO	(26.5,26.75]	0.4866073	0.4504104	0.5175914
nitrate + phosphate_star	SO	(26.75,27]	0.7543158	0.7168456	0.7843174
nitrate + phosphate_star	SO	(27,27.25]	0.6932681	0.6806613	0.7124125
nitrate + phosphate_star	SO	(27.25,27.5]	0.2150406	0.1399661	0.2555239
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0277731	-0.0639058	-0.0017181
nitrate + phosphate_star	SO	(27.75,27.85]	-0.6039624	-0.6442780	-0.5659181
nitrate + phosphate_star	SO	(27.85,27.95]	-0.5715049	-0.6103301	-0.5298695
nitrate + phosphate_star	SO	(27.95,28.05]	-0.3893829	-0.4189078	-0.3691394
nitrate + phosphate_star	SO	(28.05,28.1]	-0.0983689	-0.1180805	-0.0657076
nitrate + phosphate_star	SO	(28.1, Inf]	-0.2636764	-0.2815801	-0.2402120
nitrate + phosphate_star	SO	(28.1,28.15]	0.5834531	0.5454804	0.6076429
nitrate + phosphate_star	SO	(28.15,28.2]	0.7266252	0.7190116	0.7373360
nitrate + phosphate_star	SO	(28.2, Inf]	0.7344103	0.6621081	0.7762046
nitrate + silicate	Atlantic	(-Inf,26]	0.5528970	0.5077030	0.6278067
nitrate + silicate	Atlantic	(26,26.5]	0.5991365	0.5837550	0.6104741
nitrate + silicate	Atlantic	(26.5,26.75]	0.7100651	0.7035122	0.7224682
nitrate + silicate	Atlantic	(26.75,27]	0.8382496	0.8231138	0.8604126
nitrate + silicate	Atlantic	(27,27.25]	0.8460361	0.8363232	0.8599867
nitrate + silicate	Atlantic	(27.25,27.5]	0.8617869	0.8581638	0.8668450
nitrate + silicate	Atlantic	(27.5,27.75]	0.8834618	0.8797595	0.8899487
nitrate + silicate	Atlantic	(27.75,27.85]	0.8563122	0.8470767	0.8652764
nitrate + silicate	Atlantic	(27.85,27.95]	0.8745199	0.8696791	0.8814328
nitrate + silicate	Atlantic	(27.95,28.05]	0.9048388	0.8991832	0.9124630
nitrate + silicate	Atlantic	(28.05,28.1]	0.9339833	0.9329095	0.9347187
nitrate + silicate	Atlantic	(28.1,28.15]	0.9411076	0.9367755	0.9437572
nitrate + silicate	Atlantic	(28.15,28.2]	0.9282988	0.9243788	0.9312214
nitrate + silicate	Atlantic	(28.2, Inf]	0.9663216	0.9633809	0.9684878
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8734679	0.8667900	0.8851257
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8323810	0.8204023	0.8452040
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8167834	0.8044102	0.8350178
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8508748	0.8470173	0.8553167
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8925930	0.8845302	0.8972892
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9025467	0.8917028	0.9094020
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9399204	0.9378885	0.9419146
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9669613	0.9642645	0.9696523
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9606680	0.9602363	0.9612626
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9689524	0.9668785	0.9713069
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9666560	0.9639761	0.9685480
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7785560	0.7752476	0.7809468
nitrate + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + silicate	SO	(26,26.5]	0.8164263	0.7449929	0.9317514
nitrate + silicate	SO	(26.5,26.75]	0.6169425	0.5684649	0.6469367
nitrate + silicate	SO	(26.75,27]	0.8030040	0.7865467	0.8281319
nitrate + silicate	SO	(27,27.25]	0.9091600	0.9045924	0.9153788
nitrate + silicate	SO	(27.25,27.5]	0.9634243	0.9626970	0.9641524
nitrate + silicate	SO	(27.5,27.75]	0.9604013	0.9583803	0.9631355
nitrate + silicate	SO	(27.75,27.85]	0.9671103	0.9627780	0.9698112
nitrate + silicate	SO	(27.85,27.95]	0.9712921	0.9687244	0.9735093
nitrate + silicate	SO	(27.95,28.05]	0.9668710	0.9619486	0.9708572
nitrate + silicate	SO	(28.05,28.1]	0.9427957	0.9384229	0.9465061
nitrate + silicate	SO	(28.1, Inf]	0.6972953	0.6891542	0.7062054
nitrate + silicate	SO	(28.1,28.15]	0.8829532	0.8747408	0.8928148
nitrate + silicate	SO	(28.15,28.2]	0.8778392	0.8673165	0.8852825
nitrate + silicate	SO	(28.2, Inf]	0.5480642	0.5371987	0.5567495
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.3064847	0.2244834	0.3639740
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7455627	0.7292154	0.7652864
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.5207962	0.5027344	0.5507101
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3215516	0.2685977	0.3541797
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5543325	0.5485296	0.5591610
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7169352	0.7071820	0.7265694
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7585188	0.7488157	0.7637895
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8980786	0.8965890	0.8990639
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9435780	0.9411878	0.9467106
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9644700	0.9607166	0.9698022
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9842921	0.9829871	0.9854043
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9850899	0.9814605	0.9878149
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9878330	0.9869783	0.9893409
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9951228	0.9948463	0.9954742
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7844099	0.7764915	0.7890514
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6616608	0.6563113	0.6692381
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6411656	0.6403004	0.6421357
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7272846	0.7240732	0.7302202
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.7924934	0.7869015	0.8009002
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7567352	0.7537423	0.7584181
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6091216	0.5879823	0.6300712
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5255076	0.4951754	0.5547950
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5086428	0.4969469	0.5241076
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5587535	0.5398213	0.5803026
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7019562	0.6948976	0.7068620
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0985054	0.0912385	0.1055217
phosphate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	-0.1023261	-0.4393027	0.1084276
phosphate + phosphate_star	SO	(26.5,26.75]	0.5877706	0.5564031	0.6131263
phosphate + phosphate_star	SO	(26.75,27]	0.7710126	0.7332854	0.8002200
phosphate + phosphate_star	SO	(27,27.25]	0.7074522	0.6971164	0.7254892
phosphate + phosphate_star	SO	(27.25,27.5]	0.2395175	0.1626597	0.2789643
phosphate + phosphate_star	SO	(27.5,27.75]	-0.0235807	-0.0584151	0.0047153
phosphate + phosphate_star	SO	(27.75,27.85]	-0.5933975	-0.6354748	-0.5541477
phosphate + phosphate_star	SO	(27.85,27.95]	-0.5600037	-0.5997581	-0.5187866
phosphate + phosphate_star	SO	(27.95,28.05]	-0.3829510	-0.4132193	-0.3615722
phosphate + phosphate_star	SO	(28.05,28.1]	-0.1129607	-0.1355042	-0.0780385
phosphate + phosphate_star	SO	(28.1, Inf]	-0.1984514	-0.2133661	-0.1747605
phosphate + phosphate_star	SO	(28.1,28.15]	0.6066546	0.5726967	0.6257182
phosphate + phosphate_star	SO	(28.15,28.2]	0.7318344	0.7262962	0.7410010
phosphate + phosphate_star	SO	(28.2, Inf]	0.8187227	0.7475223	0.8549640
sal + aou	Atlantic	(-Inf,26]	-0.3597799	-0.4200788	-0.2924338
sal + aou	Atlantic	(26,26.5]	-0.3468114	-0.3890079	-0.3055428
sal + aou	Atlantic	(26.5,26.75]	0.2072996	0.1759058	0.2435009
sal + aou	Atlantic	(26.75,27]	0.3847788	0.3639961	0.4139689
sal + aou	Atlantic	(27,27.25]	0.2185040	0.2055513	0.2415293
sal + aou	Atlantic	(27.25,27.5]	0.1111209	0.0514448	0.1528344
sal + aou	Atlantic	(27.5,27.75]	0.4836647	0.4482056	0.5022585
sal + aou	Atlantic	(27.75,27.85]	0.0778565	-0.0009889	0.1284448
sal + aou	Atlantic	(27.85,27.95]	-0.1208138	-0.1716612	-0.0790380
sal + aou	Atlantic	(27.95,28.05]	-0.4638439	-0.5117650	-0.4385268
sal + aou	Atlantic	(28.05,28.1]	-0.7760461	-0.8026497	-0.7243879
sal + aou	Atlantic	(28.1,28.15]	-0.8905612	-0.9087470	-0.8583638
sal + aou	Atlantic	(28.15,28.2]	-0.7470102	-0.7643228	-0.7228450
sal + aou	Atlantic	(28.2, Inf]	-0.9456100	-0.9505512	-0.9401118
sal + aou	Indo-Pacific	(-Inf,26]	-0.3016729	-0.3257958	-0.2837499
sal + aou	Indo-Pacific	(26,26.5]	-0.1979061	-0.2065544	-0.1871785
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1895803	-0.1992965	-0.1822033
sal + aou	Indo-Pacific	(26.75,27]	-0.3084851	-0.3132718	-0.3036651
sal + aou	Indo-Pacific	(27,27.25]	-0.4985156	-0.5100540	-0.4924097
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5248344	-0.5344145	-0.5193781
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3555965	-0.3754753	-0.3364201
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1451309	-0.1913608	-0.1191257
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0608631	-0.1041341	-0.0008854
sal + aou	Indo-Pacific	(27.95,28.05]	0.0976841	0.0269334	0.1588155
sal + aou	Indo-Pacific	(28.05,28.1]	0.1443679	0.0999594	0.1875910
sal + aou	Indo-Pacific	(28.1, Inf]	-0.3607657	-0.3873936	-0.3379908
sal + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + aou	SO	(26,26.5]	0.6550238	0.4807193	0.8173991
sal + aou	SO	(26.5,26.75]	0.2160918	0.0903098	0.2803262
sal + aou	SO	(26.75,27]	-0.2513626	-0.2725719	-0.2381616
sal + aou	SO	(27,27.25]	-0.0686679	-0.0769738	-0.0572158
sal + aou	SO	(27.25,27.5]	0.5331204	0.4756955	0.6206056
sal + aou	SO	(27.5,27.75]	0.7100418	0.6834863	0.7380549
sal + aou	SO	(27.75,27.85]	0.8436197	0.8294301	0.8516936
sal + aou	SO	(27.85,27.95]	0.8770940	0.8526086	0.8957825
sal + aou	SO	(27.95,28.05]	0.8475782	0.8298107	0.8651646
sal + aou	SO	(28.05,28.1]	0.7347278	0.7216775	0.7421057
sal + aou	SO	(28.1, Inf]	0.5742456	0.5738069	0.5750326
sal + aou	SO	(28.1,28.15]	0.2523226	0.2258657	0.2950422
sal + aou	SO	(28.15,28.2]	-0.0504855	-0.1062858	-0.0127123
sal + aou	SO	(28.2, Inf]	-0.1164777	-0.2191213	0.0339493
sal + nitrate	Atlantic	(-Inf,26]	-0.6374120	-0.7308731	-0.5599181
sal + nitrate	Atlantic	(26,26.5]	-0.3578234	-0.3820834	-0.3454753
sal + nitrate	Atlantic	(26.5,26.75]	0.1598201	0.1192725	0.2070196
sal + nitrate	Atlantic	(26.75,27]	0.3397175	0.2976010	0.3730034
sal + nitrate	Atlantic	(27,27.25]	0.1168302	0.0903904	0.1591304
sal + nitrate	Atlantic	(27.25,27.5]	-0.0356665	-0.1153221	0.0296774
sal + nitrate	Atlantic	(27.5,27.75]	0.4009273	0.3672485	0.4207189
sal + nitrate	Atlantic	(27.75,27.85]	-0.1719937	-0.2900406	-0.0814088
sal + nitrate	Atlantic	(27.85,27.95]	-0.3445741	-0.4477302	-0.2862443
sal + nitrate	Atlantic	(27.95,28.05]	-0.5270164	-0.5941975	-0.4894782
sal + nitrate	Atlantic	(28.05,28.1]	-0.7875489	-0.8299847	-0.7152011
sal + nitrate	Atlantic	(28.1,28.15]	-0.8718409	-0.9178461	-0.8069118
sal + nitrate	Atlantic	(28.15,28.2]	-0.7819947	-0.8274936	-0.7362543
sal + nitrate	Atlantic	(28.2, Inf]	-0.9641465	-0.9702949	-0.9569178
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.4352117	-0.4559392	-0.4245576
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4649187	-0.4655894	-0.4645102
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4856648	-0.5004970	-0.4760170
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5405087	-0.5522855	-0.5250690
sal + nitrate	Indo-Pacific	(27,27.25]	-0.6925751	-0.6947416	-0.6904580
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6498291	-0.6665532	-0.6367545
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.4666371	-0.4787160	-0.4566529
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.1963702	-0.2208984	-0.1675923
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.1451978	-0.1977593	-0.0479203
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.0205820	-0.0953281	0.0403406
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.0127765	-0.0396081	0.0610982
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.4042665	-0.4311495	-0.3812584
sal + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + nitrate	SO	(26,26.5]	0.3679812	0.1122240	0.7048452
sal + nitrate	SO	(26.5,26.75]	-0.4015569	-0.4433825	-0.3647426
sal + nitrate	SO	(26.75,27]	-0.6923003	-0.7199912	-0.6560412
sal + nitrate	SO	(27,27.25]	-0.6884159	-0.6964428	-0.6839631
sal + nitrate	SO	(27.25,27.5]	-0.0544183	-0.1384770	0.0758889
sal + nitrate	SO	(27.5,27.75]	0.3426030	0.2892329	0.3765717
sal + nitrate	SO	(27.75,27.85]	0.6870296	0.6616174	0.7067750
sal + nitrate	SO	(27.85,27.95]	0.7031176	0.6619777	0.7409930
sal + nitrate	SO	(27.95,28.05]	0.5785964	0.5327578	0.6327470
sal + nitrate	SO	(28.05,28.1]	0.3009730	0.2838592	0.3118688
sal + nitrate	SO	(28.1, Inf]	0.4646334	0.4490171	0.4842249
sal + nitrate	SO	(28.1,28.15]	-0.7170743	-0.7326894	-0.6965259
sal + nitrate	SO	(28.15,28.2]	-0.8018790	-0.8145205	-0.7767022
sal + nitrate	SO	(28.2, Inf]	-0.4288222	-0.4849071	-0.3392091
sal + phosphate	Atlantic	(-Inf,26]	-0.3110079	-0.3412877	-0.2702540
sal + phosphate	Atlantic	(26,26.5]	-0.5444777	-0.5883307	-0.5104000
sal + phosphate	Atlantic	(26.5,26.75]	-0.0316522	-0.0809862	0.0210869
sal + phosphate	Atlantic	(26.75,27]	0.2226661	0.1738279	0.2558410
sal + phosphate	Atlantic	(27,27.25]	0.0087724	-0.0174432	0.0542941
sal + phosphate	Atlantic	(27.25,27.5]	-0.1139746	-0.1937566	-0.0495073
sal + phosphate	Atlantic	(27.5,27.75]	0.3422339	0.3044879	0.3632659
sal + phosphate	Atlantic	(27.75,27.85]	-0.2115947	-0.3311818	-0.1195868
sal + phosphate	Atlantic	(27.85,27.95]	-0.3789410	-0.4826794	-0.3206020
sal + phosphate	Atlantic	(27.95,28.05]	-0.5398639	-0.6088415	-0.5006450
sal + phosphate	Atlantic	(28.05,28.1]	-0.8012050	-0.8448046	-0.7275903
sal + phosphate	Atlantic	(28.1,28.15]	-0.8691259	-0.9186341	-0.8015310
sal + phosphate	Atlantic	(28.15,28.2]	-0.7110055	-0.7579967	-0.6671162
sal + phosphate	Atlantic	(28.2, Inf]	-0.9435822	-0.9483245	-0.9364482
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3809059	-0.4043460	-0.3508003
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4081894	-0.4139934	-0.4042080
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3937558	-0.4002317	-0.3816589
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4393202	-0.4439345	-0.4322320
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6059802	-0.6113593	-0.6010549
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.6016865	-0.6219130	-0.5891458
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.4363551	-0.4556207	-0.4216652
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1906895	-0.2307377	-0.1629983
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.1172861	-0.1614369	-0.0457145
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.0530814	-0.0197233	0.1185017
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.1086159	0.0661760	0.1522900
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.3680422	-0.3958682	-0.3439520
sal + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate	SO	(26,26.5]	0.2339088	-0.0373759	0.5732466
sal + phosphate	SO	(26.5,26.75]	-0.5156098	-0.5381642	-0.4950286
sal + phosphate	SO	(26.75,27]	-0.7226662	-0.7495455	-0.6863120
sal + phosphate	SO	(27,27.25]	-0.7079942	-0.7137413	-0.7022300
sal + phosphate	SO	(27.25,27.5]	-0.0856363	-0.1737003	0.0468740
sal + phosphate	SO	(27.5,27.75]	0.3372225	0.2822330	0.3696828
sal + phosphate	SO	(27.75,27.85]	0.6828962	0.6573036	0.7036681
sal + phosphate	SO	(27.85,27.95]	0.6989324	0.6586922	0.7373317
sal + phosphate	SO	(27.95,28.05]	0.5803861	0.5349929	0.6342181
sal + phosphate	SO	(28.05,28.1]	0.3268127	0.3079482	0.3409059
sal + phosphate	SO	(28.1, Inf]	0.5712645	0.5547989	0.5900956
sal + phosphate	SO	(28.1,28.15]	-0.7281948	-0.7448986	-0.7083656
sal + phosphate	SO	(28.15,28.2]	-0.8034230	-0.8151735	-0.7809262
sal + phosphate	SO	(28.2, Inf]	-0.1406964	-0.2058482	-0.0350432
sal + phosphate_star	Atlantic	(-Inf,26]	-0.3901352	-0.4902271	-0.2638533
sal + phosphate_star	Atlantic	(26,26.5]	-0.7732267	-0.7947394	-0.7500533
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7490813	-0.7736365	-0.7207474
sal + phosphate_star	Atlantic	(26.75,27]	-0.6958852	-0.7247547	-0.6642207
sal + phosphate_star	Atlantic	(27,27.25]	-0.6883746	-0.7150028	-0.6513709
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.6534937	-0.7099311	-0.6161821
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.2253183	-0.2691177	-0.1930415
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.5273116	-0.6272936	-0.4476049
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.5960710	-0.6898385	-0.5454670
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.6344298	-0.7006629	-0.5935525
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.8332018	-0.8833708	-0.7554490
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8488636	-0.9097865	-0.7677115
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.6833417	-0.7459832	-0.6115826
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9440276	-0.9471533	-0.9381671
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6725012	-0.6917730	-0.6389239
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8753244	-0.8794393	-0.8720457
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9031265	-0.9092022	-0.8970607
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8184321	-0.8301463	-0.8098380
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8746844	-0.8915842	-0.8543389
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8012545	-0.8284040	-0.7821790
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.7108763	-0.7179147	-0.7025342
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7003799	-0.7416229	-0.6735937
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6358546	-0.6817057	-0.5762990
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.5442744	-0.5824204	-0.5020164
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5085876	-0.5330296	-0.4823097
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1364691	-0.1610678	-0.1193121
sal + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8872574	-0.9002800	-0.8712625
sal + phosphate_star	SO	(26.5,26.75]	-0.9300948	-0.9368631	-0.9235103
sal + phosphate_star	SO	(26.75,27]	-0.9265999	-0.9327670	-0.9153430
sal + phosphate_star	SO	(27,27.25]	-0.9589002	-0.9613062	-0.9571909
sal + phosphate_star	SO	(27.25,27.5]	-0.9483942	-0.9536580	-0.9414305
sal + phosphate_star	SO	(27.5,27.75]	-0.8980788	-0.9092233	-0.8780435
sal + phosphate_star	SO	(27.75,27.85]	-0.9510126	-0.9579083	-0.9444047
sal + phosphate_star	SO	(27.85,27.95]	-0.9395715	-0.9427135	-0.9342592
sal + phosphate_star	SO	(27.95,28.05]	-0.9093296	-0.9156781	-0.8990650
sal + phosphate_star	SO	(28.05,28.1]	-0.8769071	-0.8877976	-0.8621120
sal + phosphate_star	SO	(28.1, Inf]	-0.2587715	-0.2762308	-0.2341991
sal + phosphate_star	SO	(28.1,28.15]	-0.8919457	-0.9230730	-0.8735848
sal + phosphate_star	SO	(28.15,28.2]	-0.9330482	-0.9414759	-0.9252357
sal + phosphate_star	SO	(28.2, Inf]	-0.2000061	-0.2171645	-0.1732169
sal + silicate	Atlantic	(-Inf,26]	-0.8180361	-0.8311899	-0.7981938
sal + silicate	Atlantic	(26,26.5]	0.0749351	0.0204711	0.1497374
sal + silicate	Atlantic	(26.5,26.75]	0.2682907	0.2480748	0.2976567
sal + silicate	Atlantic	(26.75,27]	0.0937175	0.0137581	0.1627672
sal + silicate	Atlantic	(27,27.25]	-0.2039155	-0.2486548	-0.1258021
sal + silicate	Atlantic	(27.25,27.5]	-0.2682587	-0.3689904	-0.1823309
sal + silicate	Atlantic	(27.5,27.75]	0.1800412	0.1546128	0.1987692
sal + silicate	Atlantic	(27.75,27.85]	-0.5104963	-0.6313810	-0.4087341
sal + silicate	Atlantic	(27.85,27.95]	-0.6817550	-0.7737840	-0.6339726
sal + silicate	Atlantic	(27.95,28.05]	-0.7444032	-0.8078246	-0.7027415
sal + silicate	Atlantic	(28.05,28.1]	-0.8919896	-0.9267713	-0.8249384
sal + silicate	Atlantic	(28.1,28.15]	-0.8341691	-0.8836001	-0.7742376
sal + silicate	Atlantic	(28.15,28.2]	-0.5635042	-0.6041166	-0.5179065
sal + silicate	Atlantic	(28.2, Inf]	-0.8985875	-0.9051817	-0.8940025
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5484083	-0.5631014	-0.5353032
sal + silicate	Indo-Pacific	(26,26.5]	-0.6012734	-0.6055488	-0.5959029
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6557388	-0.6705853	-0.6440117
sal + silicate	Indo-Pacific	(26.75,27]	-0.6499319	-0.6585173	-0.6366098
sal + silicate	Indo-Pacific	(27,27.25]	-0.7549325	-0.7607145	-0.7515393
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7323772	-0.7513287	-0.7171993
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5577556	-0.5688449	-0.5489375
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2919413	-0.3199346	-0.2638313
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.1870374	-0.2308806	-0.1035156
sal + silicate	Indo-Pacific	(27.95,28.05]	0.0037881	-0.0623601	0.0665751
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0843574	0.0273657	0.1347627
sal + silicate	Indo-Pacific	(28.1, Inf]	0.0964959	0.0618923	0.1200568
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.7376492	0.6206142	0.8367602
sal + silicate	SO	(26.5,26.75]	0.3213317	0.2716052	0.3931986
sal + silicate	SO	(26.75,27]	-0.2427040	-0.2967381	-0.1837039
sal + silicate	SO	(27,27.25]	-0.4697607	-0.4828595	-0.4480383
sal + silicate	SO	(27.25,27.5]	-0.0594738	-0.1326049	0.0502907
sal + silicate	SO	(27.5,27.75]	0.3152230	0.2653765	0.3486518
sal + silicate	SO	(27.75,27.85]	0.6653754	0.6398987	0.6890423
sal + silicate	SO	(27.85,27.95]	0.7107697	0.6850295	0.7405044
sal + silicate	SO	(27.95,28.05]	0.6610990	0.6316464	0.6946546
sal + silicate	SO	(28.05,28.1]	0.5314990	0.5128775	0.5516480
sal + silicate	SO	(28.1, Inf]	0.8276098	0.8168022	0.8371627
sal + silicate	SO	(28.1,28.15]	-0.4688508	-0.5238277	-0.4187706
sal + silicate	SO	(28.15,28.2]	-0.5246728	-0.5459585	-0.4966789
sal + silicate	SO	(28.2, Inf]	0.4100387	0.3619964	0.4735832
sal + temp	Atlantic	(-Inf,26]	0.6900904	0.6490955	0.7418998
sal + temp	Atlantic	(26,26.5]	0.9419402	0.9359237	0.9476947
sal + temp	Atlantic	(26.5,26.75]	0.9721453	0.9695118	0.9748652
sal + temp	Atlantic	(26.75,27]	0.9696929	0.9670578	0.9712054
sal + temp	Atlantic	(27,27.25]	0.9600560	0.9583921	0.9628592
sal + temp	Atlantic	(27.25,27.5]	0.9671768	0.9651927	0.9699547
sal + temp	Atlantic	(27.5,27.75]	0.9728685	0.9698740	0.9748837
sal + temp	Atlantic	(27.75,27.85]	0.9599809	0.9579553	0.9627425
sal + temp	Atlantic	(27.85,27.95]	0.9222012	0.9118535	0.9302818
sal + temp	Atlantic	(27.95,28.05]	0.8429627	0.8324809	0.8634755
sal + temp	Atlantic	(28.05,28.1]	0.8453481	0.8368660	0.8509279
sal + temp	Atlantic	(28.1,28.15]	0.7498716	0.7039960	0.7796458
sal + temp	Atlantic	(28.15,28.2]	0.7143959	0.6978458	0.7370781
sal + temp	Atlantic	(28.2, Inf]	0.9167676	0.8932284	0.9312679
sal + temp	Indo-Pacific	(-Inf,26]	0.8201471	0.8085737	0.8295446
sal + temp	Indo-Pacific	(26,26.5]	0.9571666	0.9558310	0.9592898
sal + temp	Indo-Pacific	(26.5,26.75]	0.9819243	0.9814126	0.9823718
sal + temp	Indo-Pacific	(26.75,27]	0.9786602	0.9786017	0.9787019
sal + temp	Indo-Pacific	(27,27.25]	0.9766987	0.9759962	0.9777796
sal + temp	Indo-Pacific	(27.25,27.5]	0.9310976	0.9291129	0.9323845
sal + temp	Indo-Pacific	(27.5,27.75]	0.8268626	0.8162095	0.8401983
sal + temp	Indo-Pacific	(27.75,27.85]	0.9558042	0.9489407	0.9613282
sal + temp	Indo-Pacific	(27.85,27.95]	0.7729160	0.7689649	0.7790987
sal + temp	Indo-Pacific	(27.95,28.05]	0.7293529	0.7192233	0.7440298
sal + temp	Indo-Pacific	(28.05,28.1]	0.9272953	0.9223728	0.9350480
sal + temp	Indo-Pacific	(28.1, Inf]	-0.2058825	-0.2131686	-0.1957418
sal + temp	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + temp	SO	(26,26.5]	0.9575673	0.9477708	0.9644663
sal + temp	SO	(26.5,26.75]	0.9730079	0.9711379	0.9743634
sal + temp	SO	(26.75,27]	0.9672833	0.9650368	0.9688564
sal + temp	SO	(27,27.25]	0.9580774	0.9563084	0.9613459
sal + temp	SO	(27.25,27.5]	0.9285678	0.9249304	0.9317353
sal + temp	SO	(27.5,27.75]	0.8427175	0.8280950	0.8510969
sal + temp	SO	(27.75,27.85]	0.9381072	0.9379365	0.9382378
sal + temp	SO	(27.85,27.95]	0.9408831	0.9379107	0.9450723
sal + temp	SO	(27.95,28.05]	0.9220020	0.9165258	0.9281668
sal + temp	SO	(28.05,28.1]	0.9349414	0.9305286	0.9385433
sal + temp	SO	(28.1, Inf]	0.3427457	0.3165870	0.3632746
sal + temp	SO	(28.1,28.15]	0.9192044	0.9001141	0.9321964
sal + temp	SO	(28.15,28.2]	0.9208893	0.9118110	0.9375848
sal + temp	SO	(28.2, Inf]	0.6041070	0.5882305	0.6145734
silicate + phosphate	Atlantic	(-Inf,26]	-0.0263265	-0.0400561	-0.0028313
silicate + phosphate	Atlantic	(26,26.5]	-0.0565919	-0.0765914	-0.0298102
silicate + phosphate	Atlantic	(26.5,26.75]	0.5356910	0.5144049	0.5592980
silicate + phosphate	Atlantic	(26.75,27]	0.8431095	0.8369468	0.8526264
silicate + phosphate	Atlantic	(27,27.25]	0.8886024	0.8790705	0.8974757
silicate + phosphate	Atlantic	(27.25,27.5]	0.8947071	0.8917489	0.8978421
silicate + phosphate	Atlantic	(27.5,27.75]	0.9075603	0.9043390	0.9128725
silicate + phosphate	Atlantic	(27.75,27.85]	0.8822660	0.8751179	0.8891479
silicate + phosphate	Atlantic	(27.85,27.95]	0.8958974	0.8914494	0.9013565
silicate + phosphate	Atlantic	(27.95,28.05]	0.9209612	0.9166510	0.9266327
silicate + phosphate	Atlantic	(28.05,28.1]	0.9465945	0.9461102	0.9469035
silicate + phosphate	Atlantic	(28.1,28.15]	0.9566467	0.9542179	0.9579022
silicate + phosphate	Atlantic	(28.15,28.2]	0.9653300	0.9621408	0.9678772
silicate + phosphate	Atlantic	(28.2, Inf]	0.9808885	0.9795777	0.9819621
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8888165	0.8840237	0.8925637
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8834090	0.8793708	0.8856699
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8489789	0.8456555	0.8549584
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8847491	0.8833295	0.8866139
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9152073	0.9140643	0.9159366
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9321373	0.9280876	0.9345396
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9383685	0.9364898	0.9412943
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9564103	0.9540715	0.9589547
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9507825	0.9489573	0.9530193
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9699350	0.9672347	0.9719804
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9767766	0.9751779	0.9778525
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7771083	0.7731817	0.7796883
silicate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
silicate + phosphate	SO	(26,26.5]	0.7533350	0.6886178	0.8756325
silicate + phosphate	SO	(26.5,26.75]	0.5549323	0.4933310	0.5873770
silicate + phosphate	SO	(26.75,27]	0.7887433	0.7721473	0.8163784
silicate + phosphate	SO	(27,27.25]	0.9048728	0.9010984	0.9099423
silicate + phosphate	SO	(27.25,27.5]	0.9672687	0.9662016	0.9682694
silicate + phosphate	SO	(27.5,27.75]	0.9703728	0.9688710	0.9724590
silicate + phosphate	SO	(27.75,27.85]	0.9776858	0.9748053	0.9797554
silicate + phosphate	SO	(27.85,27.95]	0.9805553	0.9788450	0.9818697
silicate + phosphate	SO	(27.95,28.05]	0.9762998	0.9725173	0.9797577
silicate + phosphate	SO	(28.05,28.1]	0.9589916	0.9563212	0.9612231
silicate + phosphate	SO	(28.1, Inf]	0.8063088	0.8002939	0.8125732
silicate + phosphate	SO	(28.1,28.15]	0.8986739	0.8902092	0.9057741
silicate + phosphate	SO	(28.15,28.2]	0.8926958	0.8858848	0.8979473
silicate + phosphate	SO	(28.2, Inf]	0.8064613	0.7943423	0.8226370
silicate + phosphate_star	Atlantic	(-Inf,26]	0.1655635	0.0236491	0.2970116
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3709713	-0.3893997	-0.3390956
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0150313	-0.0092205	0.0364889
silicate + phosphate_star	Atlantic	(26.75,27]	0.4241322	0.3787476	0.4993207
silicate + phosphate_star	Atlantic	(27,27.25]	0.8044759	0.7866255	0.8184352
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8908227	0.8733183	0.9048782
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9038106	0.8951970	0.9148553
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9866355	0.9847286	0.9886992
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9802451	0.9777057	0.9824431
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9742325	0.9729161	0.9756909
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9722632	0.9695295	0.9744813
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9681187	0.9657582	0.9719934
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9667879	0.9625374	0.9695721
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9851450	0.9850323	0.9852417
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7581085	0.7470930	0.7665365
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7696737	0.7657466	0.7740905
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7876553	0.7792075	0.7947532
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8225711	0.8184598	0.8272063
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8446783	0.8393727	0.8502883
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7917276	0.7903198	0.7925069
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6899784	0.6761918	0.7062210
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5706649	0.5334388	0.6029454
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5893311	0.5844919	0.5937138
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6009726	0.5806118	0.6186060
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6752271	0.6688004	0.6822620
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.3582234	0.3473338	0.3663729
silicate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.6188085	-0.7251935	-0.5356203
silicate + phosphate_star	SO	(26.5,26.75]	-0.2403711	-0.3212579	-0.1744436
silicate + phosphate_star	SO	(26.75,27]	0.3380417	0.2820844	0.3842085
silicate + phosphate_star	SO	(27,27.25]	0.5328947	0.5115279	0.5524429
silicate + phosphate_star	SO	(27.25,27.5]	0.2341160	0.1697634	0.2670942
silicate + phosphate_star	SO	(27.5,27.75]	0.0057903	-0.0161372	0.0337819
silicate + phosphate_star	SO	(27.75,27.85]	-0.5426739	-0.5907971	-0.4988838
silicate + phosphate_star	SO	(27.85,27.95]	-0.5425624	-0.5726014	-0.5144137
silicate + phosphate_star	SO	(27.95,28.05]	-0.4302071	-0.4440347	-0.4174547
silicate + phosphate_star	SO	(28.05,28.1]	-0.2757504	-0.2968502	-0.2462180
silicate + phosphate_star	SO	(28.1, Inf]	0.0567256	0.0397425	0.0733355
silicate + phosphate_star	SO	(28.1,28.15]	0.4341321	0.3778879	0.5151173
silicate + phosphate_star	SO	(28.15,28.2]	0.4729132	0.4654232	0.4854591
silicate + phosphate_star	SO	(28.2, Inf]	0.7135293	0.6567339	0.7550312
temp + aou	Atlantic	(-Inf,26]	-0.5622827	-0.5917281	-0.5397436
temp + aou	Atlantic	(26,26.5]	-0.3924328	-0.4373421	-0.3306610
temp + aou	Atlantic	(26.5,26.75]	0.0995332	0.0746270	0.1262917
temp + aou	Atlantic	(26.75,27]	0.2900802	0.2675258	0.3246100
temp + aou	Atlantic	(27,27.25]	0.2128035	0.1960423	0.2394830
temp + aou	Atlantic	(27.25,27.5]	0.1509072	0.1068770	0.1858769
temp + aou	Atlantic	(27.5,27.75]	0.4997463	0.4646893	0.5191416
temp + aou	Atlantic	(27.75,27.85]	0.1043084	0.0468552	0.1364852
temp + aou	Atlantic	(27.85,27.95]	-0.0829191	-0.1400485	-0.0531633
temp + aou	Atlantic	(27.95,28.05]	-0.2002980	-0.2322394	-0.1553588
temp + aou	Atlantic	(28.05,28.1]	-0.4810371	-0.5339860	-0.4214331
temp + aou	Atlantic	(28.1,28.15]	-0.5728821	-0.6357564	-0.5357317
temp + aou	Atlantic	(28.15,28.2]	-0.7730957	-0.8078165	-0.7387830
temp + aou	Atlantic	(28.2, Inf]	-0.8972539	-0.9166732	-0.8763378
temp + aou	Indo-Pacific	(-Inf,26]	-0.4043670	-0.4110272	-0.3918185
temp + aou	Indo-Pacific	(26,26.5]	-0.2448166	-0.2553820	-0.2312547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1796457	-0.1862983	-0.1741387
temp + aou	Indo-Pacific	(26.75,27]	-0.2598411	-0.2633807	-0.2537398
temp + aou	Indo-Pacific	(27,27.25]	-0.4828614	-0.4948948	-0.4751482
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5186272	-0.5245069	-0.5097663
temp + aou	Indo-Pacific	(27.5,27.75]	-0.3314355	-0.3546870	-0.3120951
temp + aou	Indo-Pacific	(27.75,27.85]	-0.1103386	-0.1433509	-0.0861491
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0657609	-0.1097588	-0.0180200
temp + aou	Indo-Pacific	(27.95,28.05]	0.0169579	-0.0185845	0.0635583
temp + aou	Indo-Pacific	(28.05,28.1]	0.0915556	0.0286406	0.1268006
temp + aou	Indo-Pacific	(28.1, Inf]	0.7356195	0.7304714	0.7398545
temp + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + aou	SO	(26,26.5]	0.6666823	0.5030145	0.8435702
temp + aou	SO	(26.5,26.75]	0.2194956	0.0806483	0.2944134
temp + aou	SO	(26.75,27]	-0.2332351	-0.2587605	-0.2076838
temp + aou	SO	(27,27.25]	-0.0525522	-0.0765776	-0.0287573
temp + aou	SO	(27.25,27.5]	0.3454932	0.3134204	0.4056945
temp + aou	SO	(27.5,27.75]	0.3607548	0.3329260	0.3954070
temp + aou	SO	(27.75,27.85]	0.7469338	0.7417726	0.7539122
temp + aou	SO	(27.85,27.95]	0.8115300	0.7998888	0.8201150
temp + aou	SO	(27.95,28.05]	0.7951570	0.7942238	0.7962744
temp + aou	SO	(28.05,28.1]	0.7319668	0.7126506	0.7442857
temp + aou	SO	(28.1, Inf]	0.7265509	0.7119275	0.7374771
temp + aou	SO	(28.1,28.15]	0.2553160	0.2255531	0.3047056
temp + aou	SO	(28.15,28.2]	-0.1104596	-0.1379023	-0.0836978
temp + aou	SO	(28.2, Inf]	0.0212047	-0.0420579	0.0906504
temp + nitrate	Atlantic	(-Inf,26]	-0.7564455	-0.7702793	-0.7413812
temp + nitrate	Atlantic	(26,26.5]	-0.3914926	-0.4425249	-0.3381575
temp + nitrate	Atlantic	(26.5,26.75]	0.0455249	0.0084375	0.0822651
temp + nitrate	Atlantic	(26.75,27]	0.2311917	0.1970798	0.2689253
temp + nitrate	Atlantic	(27,27.25]	0.0995821	0.0726700	0.1458932
temp + nitrate	Atlantic	(27.25,27.5]	0.0088220	-0.0568376	0.0670080
temp + nitrate	Atlantic	(27.5,27.75]	0.4074310	0.3744046	0.4290698
temp + nitrate	Atlantic	(27.75,27.85]	-0.1689842	-0.2648670	-0.1006056
temp + nitrate	Atlantic	(27.85,27.95]	-0.3361012	-0.4417400	-0.2721236
temp + nitrate	Atlantic	(27.95,28.05]	-0.3435320	-0.3964579	-0.2988832
temp + nitrate	Atlantic	(28.05,28.1]	-0.5453825	-0.5999305	-0.4685476
temp + nitrate	Atlantic	(28.1,28.15]	-0.5912983	-0.6497746	-0.5189367
temp + nitrate	Atlantic	(28.15,28.2]	-0.7796314	-0.8509210	-0.6837463
temp + nitrate	Atlantic	(28.2, Inf]	-0.8854662	-0.9178940	-0.8439553
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5614584	-0.5675455	-0.5530350
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5139994	-0.5203050	-0.5095957
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4818663	-0.5019464	-0.4660555
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5067576	-0.5246664	-0.4859641
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6942991	-0.6964219	-0.6924223
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.6801212	-0.6916732	-0.6726529
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.5211076	-0.5305161	-0.5137557
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1708962	-0.1844946	-0.1603498
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1945133	-0.2412877	-0.1140886
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.1153091	-0.1419837	-0.0710413
temp + nitrate	Indo-Pacific	(28.05,28.1]	-0.0388115	-0.1127233	0.0039532
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.6507979	0.6445653	0.6579878
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.3275196	0.1106197	0.6496148
temp + nitrate	SO	(26.5,26.75]	-0.4125276	-0.4619543	-0.3586900
temp + nitrate	SO	(26.75,27]	-0.6952431	-0.7252526	-0.6547601
temp + nitrate	SO	(27,27.25]	-0.6892287	-0.7064600	-0.6791329
temp + nitrate	SO	(27.25,27.5]	-0.2901858	-0.3398908	-0.2046415
temp + nitrate	SO	(27.5,27.75]	-0.0994152	-0.1451912	-0.0627758
temp + nitrate	SO	(27.75,27.85]	0.5594733	0.5518066	0.5646155
temp + nitrate	SO	(27.85,27.95]	0.6128491	0.5937600	0.6281100
temp + nitrate	SO	(27.95,28.05]	0.5040203	0.4851003	0.5275621
temp + nitrate	SO	(28.05,28.1]	0.2802683	0.2670555	0.2883571
temp + nitrate	SO	(28.1, Inf]	0.5199275	0.5163354	0.5267933
temp + nitrate	SO	(28.1,28.15]	-0.7390470	-0.7610492	-0.7265585
temp + nitrate	SO	(28.15,28.2]	-0.8279626	-0.8339865	-0.8208729
temp + nitrate	SO	(28.2, Inf]	-0.6802342	-0.7213990	-0.6225489
temp + phosphate	Atlantic	(-Inf,26]	-0.6313831	-0.6569162	-0.5848285
temp + phosphate	Atlantic	(26,26.5]	-0.5835310	-0.6216077	-0.5628205
temp + phosphate	Atlantic	(26.5,26.75]	-0.1303362	-0.1727961	-0.0880763
temp + phosphate	Atlantic	(26.75,27]	0.1278216	0.0902192	0.1635397
temp + phosphate	Atlantic	(27,27.25]	0.0077055	-0.0187144	0.0570992
temp + phosphate	Atlantic	(27.25,27.5]	-0.0627024	-0.1282264	-0.0053853
temp + phosphate	Atlantic	(27.5,27.75]	0.3512556	0.3145451	0.3735577
temp + phosphate	Atlantic	(27.75,27.85]	-0.2107190	-0.3083247	-0.1410631
temp + phosphate	Atlantic	(27.85,27.95]	-0.3737481	-0.4798113	-0.3091245
temp + phosphate	Atlantic	(27.95,28.05]	-0.3710165	-0.4265839	-0.3267763
temp + phosphate	Atlantic	(28.05,28.1]	-0.5745237	-0.6285414	-0.4959780
temp + phosphate	Atlantic	(28.1,28.15]	-0.6204466	-0.6768521	-0.5403814
temp + phosphate	Atlantic	(28.15,28.2]	-0.7953991	-0.8690636	-0.6944503
temp + phosphate	Atlantic	(28.2, Inf]	-0.8835644	-0.9159263	-0.8427899
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5024944	-0.5205319	-0.4863644
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4595286	-0.4654213	-0.4517988
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3877974	-0.4012173	-0.3772583
temp + phosphate	Indo-Pacific	(26.75,27]	-0.3975134	-0.4089656	-0.3838053
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6003034	-0.6074360	-0.5949941
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6211448	-0.6395272	-0.6102503
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.4518172	-0.4739079	-0.4373693
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1585327	-0.1876281	-0.1417592
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1442568	-0.1892086	-0.0857578
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0434424	-0.0796000	0.0066167
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0549122	-0.0077901	0.0923293
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.6966202	0.6903279	0.7020680
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	0.1854096	-0.0420420	0.5076061
temp + phosphate	SO	(26.5,26.75]	-0.5296199	-0.5631738	-0.4937668
temp + phosphate	SO	(26.75,27]	-0.7235240	-0.7538915	-0.6815376
temp + phosphate	SO	(27,27.25]	-0.7038228	-0.7196696	-0.6953590
temp + phosphate	SO	(27.25,27.5]	-0.3132538	-0.3650901	-0.2263526
temp + phosphate	SO	(27.5,27.75]	-0.0997164	-0.1477667	-0.0643913
temp + phosphate	SO	(27.75,27.85]	0.5569696	0.5483136	0.5615932
temp + phosphate	SO	(27.85,27.95]	0.6096412	0.5914966	0.6249837
temp + phosphate	SO	(27.95,28.05]	0.5088860	0.4896186	0.5324456
temp + phosphate	SO	(28.05,28.1]	0.3103178	0.2953776	0.3184881
temp + phosphate	SO	(28.1, Inf]	0.4915533	0.4860631	0.5002339
temp + phosphate	SO	(28.1,28.15]	-0.7438374	-0.7666121	-0.7276865
temp + phosphate	SO	(28.15,28.2]	-0.8196112	-0.8238423	-0.8121980
temp + phosphate	SO	(28.2, Inf]	-0.5481994	-0.5902955	-0.4676079
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7410961	-0.8512345	-0.6753600
temp + phosphate_star	Atlantic	(26,26.5]	-0.7969140	-0.8110068	-0.7727328
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7747010	-0.7983772	-0.7516497
temp + phosphate_star	Atlantic	(26.75,27]	-0.7298470	-0.7494686	-0.7047845
temp + phosphate_star	Atlantic	(27,27.25]	-0.6873204	-0.7145123	-0.6483154
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6134519	-0.6639384	-0.5802154
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.2327413	-0.2745811	-0.2040905
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.5512903	-0.6324090	-0.4936057
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.6201988	-0.7116571	-0.5599024
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.5622717	-0.6194734	-0.5327410
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.6854538	-0.7339036	-0.6052036
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.6952342	-0.7623246	-0.5843718
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8264727	-0.9211272	-0.6890926
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8999517	-0.9320949	-0.8580271
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8266256	-0.8472174	-0.8126939
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9181177	-0.9193445	-0.9167429
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9144940	-0.9211673	-0.9083163
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8179409	-0.8324454	-0.8051449
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8971800	-0.9142325	-0.8758271
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8920886	-0.9230124	-0.8715854
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8930476	-0.9011167	-0.8867157
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7161260	-0.7575870	-0.6919280
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8386405	-0.8711248	-0.7939776
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7928399	-0.8038463	-0.7733453
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5743257	-0.6032094	-0.5419489
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5797490	-0.5855129	-0.5737098
temp + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9512842	-0.9592085	-0.9390774
temp + phosphate_star	SO	(26.5,26.75]	-0.9532165	-0.9621179	-0.9427377
temp + phosphate_star	SO	(26.75,27]	-0.9496294	-0.9537742	-0.9440007
temp + phosphate_star	SO	(27,27.25]	-0.9768558	-0.9779466	-0.9752245
temp + phosphate_star	SO	(27.25,27.5]	-0.9901475	-0.9915485	-0.9893042
temp + phosphate_star	SO	(27.5,27.75]	-0.9805562	-0.9825029	-0.9773092
temp + phosphate_star	SO	(27.75,27.85]	-0.9652052	-0.9669834	-0.9630901
temp + phosphate_star	SO	(27.85,27.95]	-0.9594868	-0.9637706	-0.9533086
temp + phosphate_star	SO	(27.95,28.05]	-0.9351040	-0.9362238	-0.9334351
temp + phosphate_star	SO	(28.05,28.1]	-0.9087348	-0.9112052	-0.9056123
temp + phosphate_star	SO	(28.1, Inf]	-0.8056987	-0.8121817	-0.8000053
temp + phosphate_star	SO	(28.1,28.15]	-0.9230735	-0.9292747	-0.9157899
temp + phosphate_star	SO	(28.15,28.2]	-0.9261436	-0.9330980	-0.9209373
temp + phosphate_star	SO	(28.2, Inf]	-0.7235001	-0.7491331	-0.6851364
temp + silicate	Atlantic	(-Inf,26]	-0.4996488	-0.5578586	-0.4547461
temp + silicate	Atlantic	(26,26.5]	0.0804495	0.0619177	0.0997910
temp + silicate	Atlantic	(26.5,26.75]	0.1760529	0.1599523	0.1960501
temp + silicate	Atlantic	(26.75,27]	-0.0361852	-0.1023568	0.0179891
temp + silicate	Atlantic	(27,27.25]	-0.2232996	-0.2665214	-0.1449840
temp + silicate	Atlantic	(27.25,27.5]	-0.2171120	-0.3078438	-0.1371905
temp + silicate	Atlantic	(27.5,27.75]	0.1863404	0.1651167	0.2051476
temp + silicate	Atlantic	(27.75,27.85]	-0.5156610	-0.6143180	-0.4373406
temp + silicate	Atlantic	(27.85,27.95]	-0.6654362	-0.7572781	-0.6088533
temp + silicate	Atlantic	(27.95,28.05]	-0.6505155	-0.7036586	-0.6158397
temp + silicate	Atlantic	(28.05,28.1]	-0.7773090	-0.8252256	-0.7023204
temp + silicate	Atlantic	(28.1,28.15]	-0.7504100	-0.7984333	-0.6627598
temp + silicate	Atlantic	(28.15,28.2]	-0.8101918	-0.8741865	-0.7139127
temp + silicate	Atlantic	(28.2, Inf]	-0.8989288	-0.9213988	-0.8680664
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6000302	-0.6013219	-0.5984378
temp + silicate	Indo-Pacific	(26,26.5]	-0.6291010	-0.6377961	-0.6195295
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6536267	-0.6738386	-0.6343736
temp + silicate	Indo-Pacific	(26.75,27]	-0.6208089	-0.6338047	-0.6029359
temp + silicate	Indo-Pacific	(27,27.25]	-0.7628975	-0.7699620	-0.7589249
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.7706185	-0.7867949	-0.7591740
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.6281857	-0.6380693	-0.6225746
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.2822614	-0.2963728	-0.2743807
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.3082494	-0.3522284	-0.2401840
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.1628063	-0.1915655	-0.1105102
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0074686	-0.0606581	0.0447560
temp + silicate	Indo-Pacific	(28.1, Inf]	0.3184858	0.3109482	0.3333893
temp + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + silicate	SO	(26,26.5]	0.6843945	0.5905879	0.7938020
temp + silicate	SO	(26.5,26.75]	0.2838443	0.2222971	0.3586948
temp + silicate	SO	(26.75,27]	-0.2864414	-0.3387668	-0.2237457
temp + silicate	SO	(27,27.25]	-0.5359843	-0.5499388	-0.5142057
temp + silicate	SO	(27.25,27.5]	-0.3108973	-0.3565476	-0.2346254
temp + silicate	SO	(27.5,27.75]	-0.1112838	-0.1594897	-0.0854194
temp + silicate	SO	(27.75,27.85]	0.5340579	0.5202487	0.5454196
temp + silicate	SO	(27.85,27.95]	0.6118041	0.6044110	0.6182398
temp + silicate	SO	(27.95,28.05]	0.5737261	0.5647238	0.5823871
temp + silicate	SO	(28.05,28.1]	0.5048786	0.4915793	0.5166316
temp + silicate	SO	(28.1, Inf]	0.2273070	0.2149110	0.2400510
temp + silicate	SO	(28.1,28.15]	-0.5080118	-0.5850065	-0.4619629
temp + silicate	SO	(28.15,28.2]	-0.5392903	-0.5507077	-0.5226610
temp + silicate	SO	(28.2, Inf]	-0.1781659	-0.2340166	-0.1088590

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
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]	0.3854318	0.3525260	0.4216931
aou	Atlantic	(26,26.5]	0.0097410	-0.1588292	0.0966189
aou	Atlantic	(26.5,26.75]	-0.0711290	-0.1894878	0.0092896
aou	Atlantic	(26.75,27]	-0.1177942	-0.3296190	0.0836911
aou	Atlantic	(27,27.25]	-0.5059678	-0.6257769	-0.3794337
aou	Atlantic	(27.25,27.5]	-0.6779030	-0.7099849	-0.6268491
aou	Atlantic	(27.5,27.75]	-0.7786478	-0.7832752	-0.7698083
aou	Atlantic	(27.75,27.85]	-0.7609651	-0.7924224	-0.7328915
aou	Atlantic	(27.85,27.95]	-0.8220991	-0.8475635	-0.8000119
aou	Atlantic	(27.95,28.05]	-0.7839889	-0.8002978	-0.7688595
aou	Atlantic	(28.05,28.1]	-0.9571464	-0.9677501	-0.9390089
aou	Atlantic	(28.1,28.15]	-0.9412082	-0.9599657	-0.9155598
aou	Atlantic	(28.15,28.2]	-0.9231431	-0.9628344	-0.8750252
aou	Atlantic	(28.2, Inf]	-0.9595174	-0.9737004	-0.9469263
aou	Indo-Pacific	(-Inf,26]	-0.1361834	-0.2525221	-0.0039565
aou	Indo-Pacific	(26,26.5]	-0.4506739	-0.5626889	-0.3166859
aou	Indo-Pacific	(26.5,26.75]	-0.7160173	-0.7599925	-0.6603932
aou	Indo-Pacific	(26.75,27]	-0.7664792	-0.8236382	-0.7055597
aou	Indo-Pacific	(27,27.25]	-0.6288360	-0.7037720	-0.5327175
aou	Indo-Pacific	(27.25,27.5]	-0.3816266	-0.5244383	-0.2185292
aou	Indo-Pacific	(27.5,27.75]	0.2294436	-0.0002856	0.4590912
aou	Indo-Pacific	(27.75,27.85]	0.7807559	0.7117974	0.8495145
aou	Indo-Pacific	(27.85,27.95]	0.8657468	0.8146609	0.8916438
aou	Indo-Pacific	(27.95,28.05]	0.9403985	0.9367721	0.9469904
aou	Indo-Pacific	(28.05,28.1]	0.9396184	0.9319880	0.9448235
aou	Indo-Pacific	(28.1, Inf]	0.6301315	0.6254845	0.6340044
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.1771474	0.1180763	0.2934137
aou	SO	(26.5,26.75]	0.0230716	0.0004009	0.0494360
aou	SO	(26.75,27]	-0.4519329	-0.4910777	-0.4066211
aou	SO	(27,27.25]	-0.3914202	-0.4335975	-0.3299614
aou	SO	(27.25,27.5]	-0.2997124	-0.4515983	-0.0887284
aou	SO	(27.5,27.75]	-0.5421823	-0.7283205	-0.2988890
aou	SO	(27.75,27.85]	-0.6835312	-0.9107077	-0.3661350
aou	SO	(27.85,27.95]	-0.6291647	-0.8991560	-0.2557360
aou	SO	(27.95,28.05]	-0.5361503	-0.8396831	-0.1627307
aou	SO	(28.05,28.1]	-0.5760806	-0.8304778	-0.2861952
aou	SO	(28.1, Inf]	0.0082415	-0.2126161	0.2402245
aou	SO	(28.1,28.15]	-0.2341992	-0.3873131	-0.1153589
aou	SO	(28.15,28.2]	-0.4335477	-0.5110330	-0.3919005
aou	SO	(28.2, Inf]	0.0307975	-0.0630191	0.1117251
nitrate	Atlantic	(-Inf,26]	0.1120329	0.0217533	0.1697762
nitrate	Atlantic	(26,26.5]	-0.2146087	-0.4198559	-0.0801088
nitrate	Atlantic	(26.5,26.75]	-0.2214211	-0.3465636	-0.1413012
nitrate	Atlantic	(26.75,27]	-0.2234980	-0.4180557	-0.0355226
nitrate	Atlantic	(27,27.25]	-0.6489992	-0.7379324	-0.5492627
nitrate	Atlantic	(27.25,27.5]	-0.8269151	-0.8550850	-0.7934318
nitrate	Atlantic	(27.5,27.75]	-0.9106598	-0.9119314	-0.9083955
nitrate	Atlantic	(27.75,27.85]	-0.9312497	-0.9360339	-0.9278694
nitrate	Atlantic	(27.85,27.95]	-0.9364249	-0.9397090	-0.9323921
nitrate	Atlantic	(27.95,28.05]	-0.8537514	-0.8680559	-0.8365644
nitrate	Atlantic	(28.05,28.1]	-0.9883986	-0.9925611	-0.9811627
nitrate	Atlantic	(28.1,28.15]	-0.9834615	-0.9900182	-0.9747999
nitrate	Atlantic	(28.15,28.2]	-0.9782797	-0.9916348	-0.9618839
nitrate	Atlantic	(28.2, Inf]	-0.9934464	-0.9965040	-0.9918630
nitrate	Indo-Pacific	(-Inf,26]	-0.1290763	-0.2516559	-0.0057674
nitrate	Indo-Pacific	(26,26.5]	-0.4606493	-0.5702578	-0.3323899
nitrate	Indo-Pacific	(26.5,26.75]	-0.6345323	-0.6556848	-0.6202542
nitrate	Indo-Pacific	(26.75,27]	-0.6392114	-0.6652955	-0.6180529
nitrate	Indo-Pacific	(27,27.25]	-0.4386610	-0.5123137	-0.3621673
nitrate	Indo-Pacific	(27.25,27.5]	-0.2876760	-0.4366243	-0.1373803
nitrate	Indo-Pacific	(27.5,27.75]	0.1897568	-0.0435665	0.4122468
nitrate	Indo-Pacific	(27.75,27.85]	0.8016580	0.7418700	0.8574955
nitrate	Indo-Pacific	(27.85,27.95]	0.8804837	0.8501550	0.9014141
nitrate	Indo-Pacific	(27.95,28.05]	0.9414396	0.9373251	0.9492280
nitrate	Indo-Pacific	(28.05,28.1]	0.9419846	0.9352405	0.9460631
nitrate	Indo-Pacific	(28.1, Inf]	0.6803312	0.6778080	0.6817013
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	0.0233624	-0.0595721	0.1473960
nitrate	SO	(26.5,26.75]	-0.4617341	-0.5690527	-0.3142052
nitrate	SO	(26.75,27]	-0.8153927	-0.8522204	-0.7550632
nitrate	SO	(27,27.25]	-0.8723429	-0.8973335	-0.8428111
nitrate	SO	(27.25,27.5]	-0.7773546	-0.8778441	-0.6304068
nitrate	SO	(27.5,27.75]	-0.8022406	-0.9208098	-0.6355860
nitrate	SO	(27.75,27.85]	-0.7350793	-0.9144304	-0.4760516
nitrate	SO	(27.85,27.95]	-0.6337525	-0.8474596	-0.3390966
nitrate	SO	(27.95,28.05]	-0.5721061	-0.7615285	-0.3257276
nitrate	SO	(28.05,28.1]	-0.6016795	-0.6743966	-0.4881666
nitrate	SO	(28.1, Inf]	-0.1496287	-0.2888570	-0.0080193
nitrate	SO	(28.1,28.15]	-0.7688020	-0.8283517	-0.7241782
nitrate	SO	(28.15,28.2]	-0.8667861	-0.9088350	-0.8232960
nitrate	SO	(28.2, Inf]	-0.6933451	-0.7286001	-0.6490666
phosphate	Atlantic	(-Inf,26]	0.4329047	0.4145770	0.4442769
phosphate	Atlantic	(26,26.5]	0.0371116	-0.0901634	0.1045389
phosphate	Atlantic	(26.5,26.75]	-0.2127199	-0.3112628	-0.1559417
phosphate	Atlantic	(26.75,27]	-0.2643777	-0.4316167	-0.1046369
phosphate	Atlantic	(27,27.25]	-0.6720784	-0.7439091	-0.5822966
phosphate	Atlantic	(27.25,27.5]	-0.8333181	-0.8605516	-0.8056456
phosphate	Atlantic	(27.5,27.75]	-0.9078817	-0.9115801	-0.9041366
phosphate	Atlantic	(27.75,27.85]	-0.9409340	-0.9444443	-0.9387091
phosphate	Atlantic	(27.85,27.95]	-0.9411324	-0.9460429	-0.9370392
phosphate	Atlantic	(27.95,28.05]	-0.8673314	-0.8810058	-0.8522956
phosphate	Atlantic	(28.05,28.1]	-0.9887418	-0.9925087	-0.9821432
phosphate	Atlantic	(28.1,28.15]	-0.9841345	-0.9905782	-0.9764344
phosphate	Atlantic	(28.15,28.2]	-0.9719024	-0.9837834	-0.9597543
phosphate	Atlantic	(28.2, Inf]	-0.9893352	-0.9926183	-0.9874329
phosphate	Indo-Pacific	(-Inf,26]	-0.1679220	-0.2883936	-0.0307422
phosphate	Indo-Pacific	(26,26.5]	-0.5768867	-0.6839374	-0.4462595
phosphate	Indo-Pacific	(26.5,26.75]	-0.8098717	-0.8510512	-0.7592201
phosphate	Indo-Pacific	(26.75,27]	-0.8317783	-0.8737792	-0.7861382
phosphate	Indo-Pacific	(27,27.25]	-0.6734431	-0.7335068	-0.6018957
phosphate	Indo-Pacific	(27.25,27.5]	-0.4886897	-0.6131987	-0.3423899
phosphate	Indo-Pacific	(27.5,27.75]	0.1204818	-0.1095234	0.3499402
phosphate	Indo-Pacific	(27.75,27.85]	0.7689168	0.7050784	0.8304111
phosphate	Indo-Pacific	(27.85,27.95]	0.8625993	0.8184248	0.8851190
phosphate	Indo-Pacific	(27.95,28.05]	0.9399824	0.9355464	0.9476259
phosphate	Indo-Pacific	(28.05,28.1]	0.9368454	0.9275662	0.9430404
phosphate	Indo-Pacific	(28.1, Inf]	0.6467661	0.6438911	0.6484989
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	-0.1680973	-0.2416419	-0.0264256
phosphate	SO	(26.5,26.75]	-0.5816271	-0.6654287	-0.4520565
phosphate	SO	(26.75,27]	-0.8278702	-0.8633667	-0.7685153
phosphate	SO	(27,27.25]	-0.8806884	-0.9043604	-0.8522995
phosphate	SO	(27.25,27.5]	-0.7907919	-0.8901060	-0.6467874
phosphate	SO	(27.5,27.75]	-0.8080549	-0.9251864	-0.6425077
phosphate	SO	(27.75,27.85]	-0.7436860	-0.9186665	-0.4897540
phosphate	SO	(27.85,27.95]	-0.6413724	-0.8502075	-0.3515004
phosphate	SO	(27.95,28.05]	-0.5790921	-0.7655704	-0.3346870
phosphate	SO	(28.05,28.1]	-0.6090760	-0.6872309	-0.4899529
phosphate	SO	(28.1, Inf]	-0.2601714	-0.4061462	-0.1070117
phosphate	SO	(28.1,28.15]	-0.7883516	-0.8486500	-0.7449980
phosphate	SO	(28.15,28.2]	-0.8849496	-0.9218784	-0.8465093
phosphate	SO	(28.2, Inf]	-0.8359230	-0.8500341	-0.8145532
phosphate_star	Atlantic	(-Inf,26]	-0.0441510	-0.1654558	0.0295483
phosphate_star	Atlantic	(26,26.5]	0.1449943	0.1116052	0.1814139
phosphate_star	Atlantic	(26.5,26.75]	-0.3251007	-0.3451660	-0.3044812
phosphate_star	Atlantic	(26.75,27]	-0.4534996	-0.5254456	-0.3834141
phosphate_star	Atlantic	(27,27.25]	-0.6409640	-0.6798670	-0.5677351
phosphate_star	Atlantic	(27.25,27.5]	-0.6936908	-0.7301501	-0.6505664
phosphate_star	Atlantic	(27.5,27.75]	-0.6813547	-0.7097785	-0.6620045
phosphate_star	Atlantic	(27.75,27.85]	-0.9024563	-0.9075152	-0.8994290
phosphate_star	Atlantic	(27.85,27.95]	-0.9073113	-0.9172995	-0.9011197
phosphate_star	Atlantic	(27.95,28.05]	-0.8446825	-0.8602808	-0.8280630
phosphate_star	Atlantic	(28.05,28.1]	-0.9815872	-0.9855143	-0.9759000
phosphate_star	Atlantic	(28.1,28.15]	-0.9840980	-0.9862041	-0.9817213
phosphate_star	Atlantic	(28.15,28.2]	-0.9790814	-0.9839835	-0.9749212
phosphate_star	Atlantic	(28.2, Inf]	-0.9889408	-0.9912495	-0.9877037
phosphate_star	Indo-Pacific	(-Inf,26]	0.0291193	-0.0630369	0.1180291
phosphate_star	Indo-Pacific	(26,26.5]	-0.5589959	-0.6164394	-0.4929105
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6621179	-0.6784643	-0.6456995
phosphate_star	Indo-Pacific	(26.75,27]	-0.5503815	-0.5664413	-0.5313158
phosphate_star	Indo-Pacific	(27,27.25]	-0.4414452	-0.4577395	-0.4314202
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5606065	-0.6129519	-0.4973497
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3215710	-0.4391192	-0.2087314
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2722159	0.2500685	0.2970476
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3726512	0.3515191	0.3872843
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5546096	0.5383526	0.5644747
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6824207	0.6700078	0.6964887
phosphate_star	Indo-Pacific	(28.1, Inf]	0.3731076	0.3523023	0.3900558
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.4135870	-0.4234166	-0.4034803
phosphate_star	SO	(26.5,26.75]	-0.7144924	-0.7436437	-0.6600194
phosphate_star	SO	(26.75,27]	-0.8204079	-0.8557630	-0.7756352
phosphate_star	SO	(27,27.25]	-0.8541828	-0.8849509	-0.8311224
phosphate_star	SO	(27.25,27.5]	-0.6751421	-0.7859184	-0.5771161
phosphate_star	SO	(27.5,27.75]	-0.3503280	-0.5946849	-0.1716290
phosphate_star	SO	(27.75,27.85]	0.4013948	0.0510077	0.6742779
phosphate_star	SO	(27.85,27.95]	0.4671872	0.0668203	0.7618050
phosphate_star	SO	(27.95,28.05]	0.3003588	-0.1084999	0.6545516
phosphate_star	SO	(28.05,28.1]	0.2230099	-0.1532421	0.5801858
phosphate_star	SO	(28.1, Inf]	-0.3836758	-0.6038881	-0.1704198
phosphate_star	SO	(28.1,28.15]	-0.4933932	-0.7004624	-0.3187971
phosphate_star	SO	(28.15,28.2]	-0.6774413	-0.8042242	-0.5265553
phosphate_star	SO	(28.2, Inf]	-0.8868386	-0.9610581	-0.7803914
sal	Atlantic	(-Inf,26]	0.5988251	0.5903134	0.6094200
sal	Atlantic	(26,26.5]	-0.1335583	-0.2350495	-0.0436117
sal	Atlantic	(26.5,26.75]	-0.1181731	-0.1609838	-0.0626657
sal	Atlantic	(26.75,27]	-0.1283463	-0.2817633	0.0391504
sal	Atlantic	(27,27.25]	-0.0755759	-0.2271566	0.0253127
sal	Atlantic	(27.25,27.5]	-0.0717347	-0.1822641	0.0564247
sal	Atlantic	(27.5,27.75]	-0.5521256	-0.5851496	-0.5237829
sal	Atlantic	(27.75,27.85]	0.1266092	0.0282827	0.2559351
sal	Atlantic	(27.85,27.95]	0.2619678	0.1936525	0.3907524
sal	Atlantic	(27.95,28.05]	0.2271606	0.1819964	0.3108914
sal	Atlantic	(28.05,28.1]	0.7359267	0.6175117	0.8057923
sal	Atlantic	(28.1,28.15]	0.8013350	0.6830126	0.8904145
sal	Atlantic	(28.15,28.2]	0.7266056	0.5969689	0.8280298
sal	Atlantic	(28.2, Inf]	0.9467593	0.9332208	0.9621687
sal	Indo-Pacific	(-Inf,26]	-0.1236556	-0.1483743	-0.1011120
sal	Indo-Pacific	(26,26.5]	0.3060716	0.2638344	0.3404815
sal	Indo-Pacific	(26.5,26.75]	0.4036225	0.3811735	0.4235940
sal	Indo-Pacific	(26.75,27]	0.1196019	0.0695257	0.1707735
sal	Indo-Pacific	(27,27.25]	0.0809622	0.0315550	0.1176971
sal	Indo-Pacific	(27.25,27.5]	0.1238624	0.0258584	0.2220252
sal	Indo-Pacific	(27.5,27.75]	-0.0495599	-0.1110494	0.0370445
sal	Indo-Pacific	(27.75,27.85]	-0.0585898	-0.0971646	-0.0309809
sal	Indo-Pacific	(27.85,27.95]	-0.0323705	-0.1271678	0.1114496
sal	Indo-Pacific	(27.95,28.05]	-0.0929270	-0.1438377	-0.0440744
sal	Indo-Pacific	(28.05,28.1]	-0.0765933	-0.1407959	-0.0274329
sal	Indo-Pacific	(28.1, Inf]	0.0186584	-0.0107078	0.0384319
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.2586921	0.2392368	0.2805513
sal	SO	(26.5,26.75]	0.5980895	0.5339512	0.6459982
sal	SO	(26.75,27]	0.7109428	0.6440992	0.7592795
sal	SO	(27,27.25]	0.8194626	0.8015567	0.8454524
sal	SO	(27.25,27.5]	0.5527439	0.4868516	0.6273646
sal	SO	(27.5,27.75]	0.0289290	-0.1404774	0.2702868
sal	SO	(27.75,27.85]	-0.5114330	-0.7619300	-0.1724237
sal	SO	(27.85,27.95]	-0.5400724	-0.8548895	-0.1114228
sal	SO	(27.95,28.05]	-0.3026852	-0.7034057	0.1591504
sal	SO	(28.05,28.1]	-0.1874641	-0.5640608	0.2082337
sal	SO	(28.1, Inf]	-0.2876506	-0.5414936	-0.0115827
sal	SO	(28.1,28.15]	0.7034054	0.5666842	0.8337336
sal	SO	(28.15,28.2]	0.7930976	0.6829468	0.8854017
sal	SO	(28.2, Inf]	-0.0990934	-0.2702728	0.0414010
silicate	Atlantic	(-Inf,26]	-0.6024902	-0.6327956	-0.5759460
silicate	Atlantic	(26,26.5]	-0.4234034	-0.5233862	-0.3280717
silicate	Atlantic	(26.5,26.75]	-0.3799535	-0.4877918	-0.2802676
silicate	Atlantic	(26.75,27]	-0.5310383	-0.6609096	-0.4027388
silicate	Atlantic	(27,27.25]	-0.8567445	-0.8735430	-0.8278077
silicate	Atlantic	(27.25,27.5]	-0.9138799	-0.9178805	-0.9086459
silicate	Atlantic	(27.5,27.75]	-0.9073163	-0.9130428	-0.8972641
silicate	Atlantic	(27.75,27.85]	-0.8956897	-0.9042044	-0.8873502
silicate	Atlantic	(27.85,27.95]	-0.8463679	-0.8579086	-0.8394659
silicate	Atlantic	(27.95,28.05]	-0.7638295	-0.7753128	-0.7551761
silicate	Atlantic	(28.05,28.1]	-0.9207738	-0.9236125	-0.9160928
silicate	Atlantic	(28.1,28.15]	-0.9268107	-0.9337955	-0.9201024
silicate	Atlantic	(28.15,28.2]	-0.9083635	-0.9223629	-0.8935909
silicate	Atlantic	(28.2, Inf]	-0.9581401	-0.9616835	-0.9559253
silicate	Indo-Pacific	(-Inf,26]	-0.1176662	-0.2148744	-0.0138649
silicate	Indo-Pacific	(26,26.5]	-0.6376626	-0.7193565	-0.5311369
silicate	Indo-Pacific	(26.5,26.75]	-0.7571319	-0.7866495	-0.7228819
silicate	Indo-Pacific	(26.75,27]	-0.6638285	-0.7072240	-0.6203141
silicate	Indo-Pacific	(27,27.25]	-0.4427002	-0.5048883	-0.3714904
silicate	Indo-Pacific	(27.25,27.5]	-0.2922627	-0.4290679	-0.1421617
silicate	Indo-Pacific	(27.5,27.75]	0.2394429	0.0209627	0.4461087
silicate	Indo-Pacific	(27.75,27.85]	0.8435163	0.7925417	0.8907311
silicate	Indo-Pacific	(27.85,27.95]	0.8952794	0.8519750	0.9204846
silicate	Indo-Pacific	(27.95,28.05]	0.9658627	0.9610861	0.9729314
silicate	Indo-Pacific	(28.05,28.1]	0.9638539	0.9580210	0.9675184
silicate	Indo-Pacific	(28.1, Inf]	0.8975283	0.8968604	0.8979771
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	0.0971942	0.0259383	0.1999897
silicate	SO	(26.5,26.75]	-0.0082561	-0.0911605	0.0453551
silicate	SO	(26.75,27]	-0.5624740	-0.6460071	-0.4892456
silicate	SO	(27,27.25]	-0.7699096	-0.8118808	-0.7287672
silicate	SO	(27.25,27.5]	-0.7659615	-0.8660758	-0.6338160
silicate	SO	(27.5,27.75]	-0.8315417	-0.9346952	-0.6808290
silicate	SO	(27.75,27.85]	-0.7742755	-0.9232889	-0.5470079
silicate	SO	(27.85,27.95]	-0.6674683	-0.8621365	-0.3828878
silicate	SO	(27.95,28.05]	-0.5642496	-0.7765502	-0.2854417
silicate	SO	(28.05,28.1]	-0.5832214	-0.7266140	-0.4017735
silicate	SO	(28.1, Inf]	-0.5305973	-0.6802794	-0.3600461
silicate	SO	(28.1,28.15]	-0.7276087	-0.7483798	-0.6868403
silicate	SO	(28.15,28.2]	-0.8426578	-0.8847329	-0.8155966
silicate	SO	(28.2, Inf]	-0.8399158	-0.8610372	-0.8165861
temp	Atlantic	(-Inf,26]	-0.0456039	-0.0852471	0.0186216
temp	Atlantic	(26,26.5]	-0.3108916	-0.3815736	-0.2445614
temp	Atlantic	(26.5,26.75]	-0.1209358	-0.1638276	-0.0741839
temp	Atlantic	(26.75,27]	-0.0777809	-0.1946830	0.0484187
temp	Atlantic	(27,27.25]	-0.0466691	-0.1854130	0.0408901
temp	Atlantic	(27.25,27.5]	-0.1178222	-0.2210957	-0.0081052
temp	Atlantic	(27.5,27.75]	-0.5414546	-0.5695595	-0.5210878
temp	Atlantic	(27.75,27.85]	0.1587854	0.0820832	0.2715265
temp	Atlantic	(27.85,27.95]	0.2881023	0.2050649	0.4181694
temp	Atlantic	(27.95,28.05]	0.1341970	0.0830550	0.1999318
temp	Atlantic	(28.05,28.1]	0.5374068	0.4196912	0.6104932
temp	Atlantic	(28.1,28.15]	0.5608194	0.4220741	0.6396124
temp	Atlantic	(28.15,28.2]	0.7426293	0.5490042	0.8819454
temp	Atlantic	(28.2, Inf]	0.8494352	0.7898890	0.9008918
temp	Indo-Pacific	(-Inf,26]	-0.4311465	-0.4627155	-0.3708691
temp	Indo-Pacific	(26,26.5]	0.2651742	0.2075801	0.3187480
temp	Indo-Pacific	(26.5,26.75]	0.3757571	0.3586724	0.4054981
temp	Indo-Pacific	(26.75,27]	0.0594038	0.0003466	0.1188749
temp	Indo-Pacific	(27,27.25]	0.0758270	0.0235310	0.1134214
temp	Indo-Pacific	(27.25,27.5]	0.2228734	0.1243099	0.3267472
temp	Indo-Pacific	(27.5,27.75]	0.1241429	0.0348685	0.2270314
temp	Indo-Pacific	(27.75,27.85]	-0.0305096	-0.0560014	0.0112468
temp	Indo-Pacific	(27.85,27.95]	-0.0701235	-0.1404353	0.0565836
temp	Indo-Pacific	(27.95,28.05]	-0.1765176	-0.1961822	-0.1385851
temp	Indo-Pacific	(28.05,28.1]	-0.1306761	-0.2058267	-0.0865842
temp	Indo-Pacific	(28.1, Inf]	0.1249931	0.1131589	0.1432296
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.2503890	0.2100797	0.2790836
temp	SO	(26.5,26.75]	0.5658668	0.5132598	0.6115336
temp	SO	(26.75,27]	0.6777174	0.6084016	0.7310956
temp	SO	(27,27.25]	0.7882314	0.7720769	0.8152827
temp	SO	(27.25,27.5]	0.7038887	0.6308042	0.7956586
temp	SO	(27.5,27.75]	0.4318851	0.2925025	0.6282873
temp	SO	(27.75,27.85]	-0.4298748	-0.6295619	-0.1589527
temp	SO	(27.85,27.95]	-0.5507303	-0.7860317	-0.2132341
temp	SO	(27.95,28.05]	-0.4151915	-0.7374548	-0.0167912
temp	SO	(28.05,28.1]	-0.3582051	-0.6861291	-0.0108883
temp	SO	(28.1, Inf]	0.0733382	-0.1151749	0.2751088
temp	SO	(28.1,28.15]	0.5091887	0.3380154	0.6715350
temp	SO	(28.15,28.2]	0.6540964	0.5130109	0.7730828
temp	SO	(28.2, Inf]	0.5051586	0.3679681	0.6184013

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