eMLR - assumption testing

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Last updated: 2021-02-07

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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]	0.8383083	0.8320600	0.8496781
aou + nitrate	Atlantic	(26,26.5]	0.8833228	0.8574739	0.9001680
aou + nitrate	Atlantic	(26.5,26.75]	0.9727647	0.9700948	0.9771868
aou + nitrate	Atlantic	(26.75,27]	0.9834223	0.9757825	0.9881294
aou + nitrate	Atlantic	(27,27.25]	0.9750973	0.9706350	0.9789056
aou + nitrate	Atlantic	(27.25,27.5]	0.9590321	0.9560294	0.9625016
aou + nitrate	Atlantic	(27.5,27.75]	0.9451379	0.9417401	0.9502518
aou + nitrate	Atlantic	(27.75,27.85]	0.9177221	0.9074981	0.9258630
aou + nitrate	Atlantic	(27.85,27.95]	0.9412939	0.9224191	0.9591860
aou + nitrate	Atlantic	(27.95,28.05]	0.9701310	0.9670307	0.9730748
aou + nitrate	Atlantic	(28.05,28.1]	0.9882291	0.9855582	0.9897840
aou + nitrate	Atlantic	(28.1,28.15]	0.9872417	0.9851050	0.9891944
aou + nitrate	Atlantic	(28.15,28.2]	0.9808607	0.9712872	0.9876928
aou + nitrate	Atlantic	(28.2, Inf]	0.9826517	0.9786272	0.9880083
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9315873	0.9293621	0.9342136
aou + nitrate	Indo-Pacific	(26,26.5]	0.8707049	0.8669607	0.8764470
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7600262	0.7395510	0.8002481
aou + nitrate	Indo-Pacific	(26.75,27]	0.7790680	0.7653126	0.7952816
aou + nitrate	Indo-Pacific	(27,27.25]	0.8184512	0.8138927	0.8268671
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8583819	0.8402715	0.8738880
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9156750	0.9113021	0.9216031
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9694252	0.9657913	0.9752153
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9736061	0.9717127	0.9746702
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9874079	0.9865340	0.9889062
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9880985	0.9867422	0.9889092
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9904413	0.9900832	0.9909030
aou + nitrate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8620318	0.8304846	0.9017495
aou + nitrate	SO	(26.5,26.75]	0.6925875	0.6518626	0.7616676
aou + nitrate	SO	(26.75,27]	0.7851483	0.7784314	0.7962860
aou + nitrate	SO	(27,27.25]	0.7287730	0.7226386	0.7347837
aou + nitrate	SO	(27.25,27.5]	0.7901129	0.7779592	0.8040579
aou + nitrate	SO	(27.5,27.75]	0.8874338	0.8794502	0.8951554
aou + nitrate	SO	(27.75,27.85]	0.9598167	0.9552541	0.9647507
aou + nitrate	SO	(27.85,27.95]	0.9419482	0.9377494	0.9468118
aou + nitrate	SO	(27.95,28.05]	0.8903151	0.8796740	0.9026114
aou + nitrate	SO	(28.05,28.1]	0.8040598	0.7805215	0.8317631
aou + nitrate	SO	(28.1, Inf]	0.8979995	0.8893387	0.9045936
aou + nitrate	SO	(28.1,28.15]	0.3867430	0.3484977	0.4320906
aou + nitrate	SO	(28.15,28.2]	0.5645286	0.5391138	0.5798156
aou + nitrate	SO	(28.2, Inf]	0.5075756	0.4945242	0.5185950
aou + phosphate	Atlantic	(-Inf,26]	0.9405704	0.9284715	0.9530586
aou + phosphate	Atlantic	(26,26.5]	0.8861359	0.8749814	0.9039500
aou + phosphate	Atlantic	(26.5,26.75]	0.9449018	0.9407088	0.9484555
aou + phosphate	Atlantic	(26.75,27]	0.9674252	0.9622084	0.9735870
aou + phosphate	Atlantic	(27,27.25]	0.9546586	0.9513017	0.9592212
aou + phosphate	Atlantic	(27.25,27.5]	0.9364109	0.9315362	0.9411451
aou + phosphate	Atlantic	(27.5,27.75]	0.9253078	0.9213586	0.9316533
aou + phosphate	Atlantic	(27.75,27.85]	0.8951569	0.8827742	0.9049439
aou + phosphate	Atlantic	(27.85,27.95]	0.9248756	0.9021057	0.9467670
aou + phosphate	Atlantic	(27.95,28.05]	0.9591333	0.9555094	0.9627927
aou + phosphate	Atlantic	(28.05,28.1]	0.9843368	0.9810140	0.9861190
aou + phosphate	Atlantic	(28.1,28.15]	0.9842421	0.9825954	0.9852228
aou + phosphate	Atlantic	(28.15,28.2]	0.9814968	0.9689840	0.9891578
aou + phosphate	Atlantic	(28.2, Inf]	0.9842356	0.9810307	0.9889292
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9674116	0.9653368	0.9684862
aou + phosphate	Indo-Pacific	(26,26.5]	0.9604190	0.9588999	0.9613595
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9675309	0.9657301	0.9689292
aou + phosphate	Indo-Pacific	(26.75,27]	0.9642510	0.9635451	0.9649090
aou + phosphate	Indo-Pacific	(27,27.25]	0.9737550	0.9731889	0.9742306
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9800327	0.9792321	0.9809946
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9834012	0.9828599	0.9837950
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9928162	0.9911501	0.9943771
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9939680	0.9937437	0.9941856
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9970992	0.9968474	0.9973279
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9983037	0.9981253	0.9984305
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9971320	0.9970374	0.9971913
aou + phosphate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.7893318	0.7593949	0.8410682
aou + phosphate	SO	(26.5,26.75]	0.6405820	0.5988803	0.7219063
aou + phosphate	SO	(26.75,27]	0.7860021	0.7788332	0.7990758
aou + phosphate	SO	(27,27.25]	0.7197306	0.7118695	0.7267326
aou + phosphate	SO	(27.25,27.5]	0.7757468	0.7613672	0.7915437
aou + phosphate	SO	(27.5,27.75]	0.8853493	0.8763687	0.8945076
aou + phosphate	SO	(27.75,27.85]	0.9554084	0.9503041	0.9610788
aou + phosphate	SO	(27.85,27.95]	0.9362630	0.9316289	0.9418597
aou + phosphate	SO	(27.95,28.05]	0.8860203	0.8748521	0.8987869
aou + phosphate	SO	(28.05,28.1]	0.8102916	0.7885821	0.8364814
aou + phosphate	SO	(28.1, Inf]	0.8743127	0.8637013	0.8802198
aou + phosphate	SO	(28.1,28.15]	0.3576693	0.3149125	0.4096701
aou + phosphate	SO	(28.15,28.2]	0.5523666	0.5300895	0.5635481
aou + phosphate	SO	(28.2, Inf]	0.4133540	0.4120221	0.4143143
aou + phosphate_star	Atlantic	(-Inf,26]	0.0705272	0.0280102	0.1298416
aou + phosphate_star	Atlantic	(26,26.5]	0.3795760	0.3278784	0.4082106
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2348847	0.2081098	0.2859930
aou + phosphate_star	Atlantic	(26.75,27]	0.0852766	0.0196385	0.1255424
aou + phosphate_star	Atlantic	(27,27.25]	0.2908616	0.2703367	0.3094151
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4437175	0.4266156	0.4630506
aou + phosphate_star	Atlantic	(27.5,27.75]	0.4791950	0.4601459	0.5027543
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6150215	0.5922336	0.6371695
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7537018	0.7097869	0.8036434
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8526001	0.8405832	0.8730066
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9393301	0.9319874	0.9437980
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9418955	0.9345248	0.9488019
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9426332	0.9199410	0.9577740
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9676608	0.9636927	0.9740964
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6221248	0.6108740	0.6362956
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4310940	0.4222266	0.4382451
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4301093	0.4241317	0.4339018
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5403368	0.5333795	0.5465795
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6432447	0.6372702	0.6495215
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6166012	0.6127957	0.6193836
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4640576	0.4462303	0.4823128
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4271831	0.3981540	0.4514168
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4145196	0.4003834	0.4274099
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4922772	0.4785383	0.5189798
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6664199	0.6547423	0.6756996
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0284637	0.0189537	0.0347837
aou + phosphate_star	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.7098683	-0.8498504	-0.6161682
aou + phosphate_star	SO	(26.5,26.75]	-0.2415344	-0.3226624	-0.1228632
aou + phosphate_star	SO	(26.75,27]	0.2252957	0.2012502	0.2528625
aou + phosphate_star	SO	(27,27.25]	0.0148534	-0.0051203	0.0295355
aou + phosphate_star	SO	(27.25,27.5]	-0.4134770	-0.4382161	-0.3907804
aou + phosphate_star	SO	(27.5,27.75]	-0.4884023	-0.5146200	-0.4748148
aou + phosphate_star	SO	(27.75,27.85]	-0.7998050	-0.8208142	-0.7784335
aou + phosphate_star	SO	(27.85,27.95]	-0.8139870	-0.8293141	-0.7985067
aou + phosphate_star	SO	(27.95,28.05]	-0.7578260	-0.7651626	-0.7495274
aou + phosphate_star	SO	(28.05,28.1]	-0.6634008	-0.7087718	-0.5992927
aou + phosphate_star	SO	(28.1, Inf]	-0.6353325	-0.6422566	-0.6239843
aou + phosphate_star	SO	(28.1,28.15]	-0.5142425	-0.5931921	-0.4361293
aou + phosphate_star	SO	(28.15,28.2]	-0.2063094	-0.2769268	-0.1532002
aou + phosphate_star	SO	(28.2, Inf]	-0.1579141	-0.2764517	-0.0979435
aou + silicate	Atlantic	(-Inf,26]	0.0901491	0.0436733	0.1353864
aou + silicate	Atlantic	(26,26.5]	0.2162620	0.1827259	0.2603428
aou + silicate	Atlantic	(26.5,26.75]	0.6097073	0.5892144	0.6408242
aou + silicate	Atlantic	(26.75,27]	0.7737525	0.7444148	0.8106578
aou + silicate	Atlantic	(27,27.25]	0.7292497	0.7107138	0.7555167
aou + silicate	Atlantic	(27.25,27.5]	0.6954427	0.6830116	0.7092614
aou + silicate	Atlantic	(27.5,27.75]	0.6894510	0.6761156	0.7104241
aou + silicate	Atlantic	(27.75,27.85]	0.5930933	0.5589183	0.6247178
aou + silicate	Atlantic	(27.85,27.95]	0.6853496	0.6332192	0.7471821
aou + silicate	Atlantic	(27.95,28.05]	0.8048592	0.7912923	0.8252655
aou + silicate	Atlantic	(28.05,28.1]	0.9040800	0.8981703	0.9109348
aou + silicate	Atlantic	(28.1,28.15]	0.9266822	0.9155563	0.9336499
aou + silicate	Atlantic	(28.15,28.2]	0.9333276	0.9189819	0.9408317
aou + silicate	Atlantic	(28.2, Inf]	0.9600154	0.9576950	0.9622462
aou + silicate	Indo-Pacific	(-Inf,26]	0.8625271	0.8600552	0.8667023
aou + silicate	Indo-Pacific	(26,26.5]	0.7883388	0.7858242	0.7910810
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7521452	0.7469021	0.7616435
aou + silicate	Indo-Pacific	(26.75,27]	0.8062572	0.8035353	0.8106638
aou + silicate	Indo-Pacific	(27,27.25]	0.8688697	0.8671495	0.8699221
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9041282	0.9007457	0.9070252
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9074838	0.9065124	0.9091457
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9451822	0.9419985	0.9500406
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9374858	0.9352756	0.9386559
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9640939	0.9592502	0.9669715
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9788564	0.9785206	0.9791911
aou + silicate	Indo-Pacific	(28.1, Inf]	0.7560442	0.7514674	0.7600554
aou + silicate	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
aou + silicate	SO	(26,26.5]	0.9042943	0.8779972	0.9264861
aou + silicate	SO	(26.5,26.75]	0.8762501	0.8599580	0.8945937
aou + silicate	SO	(26.75,27]	0.8691287	0.8599010	0.8778787
aou + silicate	SO	(27,27.25]	0.7567157	0.7464875	0.7690659
aou + silicate	SO	(27.25,27.5]	0.7523283	0.7393758	0.7660021
aou + silicate	SO	(27.5,27.75]	0.8422202	0.8349166	0.8556017
aou + silicate	SO	(27.75,27.85]	0.9162751	0.9088196	0.9250575
aou + silicate	SO	(27.85,27.95]	0.9100899	0.9080240	0.9136992
aou + silicate	SO	(27.95,28.05]	0.8883381	0.8823703	0.8930341
aou + silicate	SO	(28.05,28.1]	0.8609276	0.8401369	0.8852407
aou + silicate	SO	(28.1, Inf]	0.5971174	0.5783175	0.6084503
aou + silicate	SO	(28.1,28.15]	0.4190333	0.3404316	0.5123729
aou + silicate	SO	(28.15,28.2]	0.6788998	0.6369315	0.7003930
aou + silicate	SO	(28.2, Inf]	0.1307361	0.0941301	0.1885618
nitrate + phosphate	Atlantic	(-Inf,26]	0.7377245	0.7162224	0.7770155
nitrate + phosphate	Atlantic	(26,26.5]	0.7491702	0.7251403	0.7634138
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9545050	0.9513822	0.9561093
nitrate + phosphate	Atlantic	(26.75,27]	0.9765520	0.9706064	0.9801903
nitrate + phosphate	Atlantic	(27,27.25]	0.9878333	0.9862498	0.9886356
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9952300	0.9951096	0.9953287
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9971440	0.9970005	0.9972999
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9984647	0.9983532	0.9985315
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9988267	0.9986887	0.9990007
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9985063	0.9983186	0.9987062
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9992223	0.9991577	0.9993077
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9985032	0.9982766	0.9987068
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9917741	0.9914182	0.9920626
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9967182	0.9962171	0.9971933
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9549989	0.9493771	0.9590255
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8988037	0.8956904	0.9026890
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7836307	0.7625933	0.8248883
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8140642	0.7986864	0.8334744
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8387485	0.8324632	0.8497234
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8590653	0.8396428	0.8740478
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9277135	0.9225786	0.9347857
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9786887	0.9760425	0.9804211
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9873276	0.9856538	0.9883350
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9956143	0.9946407	0.9966133
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9941317	0.9930600	0.9947176
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9950935	0.9950080	0.9952251
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9661882	0.9608809	0.9744072
nitrate + phosphate	SO	(26.5,26.75]	0.9724064	0.9696871	0.9744852
nitrate + phosphate	SO	(26.75,27]	0.9917908	0.9904140	0.9928080
nitrate + phosphate	SO	(27,27.25]	0.9970607	0.9967375	0.9972236
nitrate + phosphate	SO	(27.25,27.5]	0.9981592	0.9977802	0.9983703
nitrate + phosphate	SO	(27.5,27.75]	0.9988631	0.9988446	0.9988941
nitrate + phosphate	SO	(27.75,27.85]	0.9986799	0.9985288	0.9987628
nitrate + phosphate	SO	(27.85,27.95]	0.9986488	0.9985523	0.9988301
nitrate + phosphate	SO	(27.95,28.05]	0.9985244	0.9983980	0.9986155
nitrate + phosphate	SO	(28.05,28.1]	0.9978728	0.9975623	0.9980516
nitrate + phosphate	SO	(28.1, Inf]	0.9845906	0.9842815	0.9850081
nitrate + phosphate	SO	(28.1,28.15]	0.9980441	0.9978727	0.9982442
nitrate + phosphate	SO	(28.15,28.2]	0.9986365	0.9985020	0.9987366
nitrate + phosphate	SO	(28.2, Inf]	0.9378571	0.9291254	0.9461407
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1890427	0.0896089	0.3270272
nitrate + phosphate_star	Atlantic	(26,26.5]	0.2995102	0.2619851	0.3429714
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3254416	0.2886968	0.3931132
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1768436	0.1133613	0.2198581
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4582099	0.4441478	0.4702567
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6593272	0.6436923	0.6801330
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7113823	0.6999871	0.7178906
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8737128	0.8715937	0.8770371
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9283539	0.9240011	0.9361609
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9504374	0.9429842	0.9585913
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9775480	0.9759194	0.9790452
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9778851	0.9717194	0.9814455
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9741523	0.9720560	0.9757571
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9918752	0.9911407	0.9923903
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7679373	0.7652806	0.7713159
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.6145260	0.6140167	0.6154738
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5596982	0.5515801	0.5758455
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6706888	0.6590836	0.6857499
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7330156	0.7232739	0.7397765
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6613030	0.6520065	0.6661388
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5918897	0.5764839	0.6104130
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5302878	0.4946620	0.5665531
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5568367	0.5502830	0.5646752
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6144878	0.6048476	0.6329212
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7661433	0.7550850	0.7775295
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1410330	0.1351694	0.1447081
nitrate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.3072605	-0.5838759	-0.1098996
nitrate + phosphate_star	SO	(26.5,26.75]	0.4802696	0.4504104	0.4985782
nitrate + phosphate_star	SO	(26.75,27]	0.7580589	0.7280748	0.7843174
nitrate + phosphate_star	SO	(27,27.25]	0.6889838	0.6806613	0.6995597
nitrate + phosphate_star	SO	(27.25,27.5]	0.2281841	0.1793965	0.2555239
nitrate + phosphate_star	SO	(27.5,27.75]	-0.0334401	-0.0639058	-0.0017181
nitrate + phosphate_star	SO	(27.75,27.85]	-0.6026303	-0.6442780	-0.5619216
nitrate + phosphate_star	SO	(27.85,27.95]	-0.5763503	-0.6103301	-0.5444057
nitrate + phosphate_star	SO	(27.95,28.05]	-0.3827295	-0.4189078	-0.3491794
nitrate + phosphate_star	SO	(28.05,28.1]	-0.0958277	-0.1180805	-0.0580841
nitrate + phosphate_star	SO	(28.1, Inf]	-0.2581662	-0.2815801	-0.2236815
nitrate + phosphate_star	SO	(28.1,28.15]	0.5877858	0.5454804	0.6206410
nitrate + phosphate_star	SO	(28.15,28.2]	0.6877009	0.6205630	0.7235281
nitrate + phosphate_star	SO	(28.2, Inf]	0.7370895	0.6621081	0.7762046
nitrate + silicate	Atlantic	(-Inf,26]	0.5667552	0.5077030	0.6278067
nitrate + silicate	Atlantic	(26,26.5]	0.5950928	0.5837550	0.6104741
nitrate + silicate	Atlantic	(26.5,26.75]	0.7137406	0.7035122	0.7334948
nitrate + silicate	Atlantic	(26.75,27]	0.8360133	0.8164051	0.8604126
nitrate + silicate	Atlantic	(27,27.25]	0.8466638	0.8382065	0.8599867
nitrate + silicate	Atlantic	(27.25,27.5]	0.8632481	0.8603519	0.8668450
nitrate + silicate	Atlantic	(27.5,27.75]	0.8829010	0.8797595	0.8882664
nitrate + silicate	Atlantic	(27.75,27.85]	0.8566077	0.8470767	0.8661629
nitrate + silicate	Atlantic	(27.85,27.95]	0.8780509	0.8696791	0.8920256
nitrate + silicate	Atlantic	(27.95,28.05]	0.9024080	0.8918907	0.9124630
nitrate + silicate	Atlantic	(28.05,28.1]	0.9341087	0.9329095	0.9350947
nitrate + silicate	Atlantic	(28.1,28.15]	0.9407286	0.9367755	0.9427902
nitrate + silicate	Atlantic	(28.15,28.2]	0.9281074	0.9243788	0.9306473
nitrate + silicate	Atlantic	(28.2, Inf]	0.9676084	0.9633809	0.9709564
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8748991	0.8684882	0.8851257
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8319426	0.8190870	0.8452040
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8165774	0.8044102	0.8343998
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8523100	0.8470173	0.8596224
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8910361	0.8845302	0.8972892
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9031543	0.8917028	0.9094020
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9396605	0.9378885	0.9419146
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9666032	0.9642645	0.9685781
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9606629	0.9602210	0.9612626
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9683311	0.9650146	0.9713069
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9676762	0.9670367	0.9685480
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7785387	0.7752476	0.7808950
nitrate + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + silicate	SO	(26,26.5]	0.8201631	0.7449929	0.9317514
nitrate + silicate	SO	(26.5,26.75]	0.6151422	0.5684649	0.6469367
nitrate + silicate	SO	(26.75,27]	0.8030603	0.7865467	0.8281319
nitrate + silicate	SO	(27,27.25]	0.9092221	0.9045924	0.9153788
nitrate + silicate	SO	(27.25,27.5]	0.9635951	0.9626970	0.9641524
nitrate + silicate	SO	(27.5,27.75]	0.9603511	0.9582299	0.9631355
nitrate + silicate	SO	(27.75,27.85]	0.9679507	0.9652994	0.9698112
nitrate + silicate	SO	(27.85,27.95]	0.9716484	0.9697933	0.9735093
nitrate + silicate	SO	(27.95,28.05]	0.9667512	0.9615891	0.9708572
nitrate + silicate	SO	(28.05,28.1]	0.9444903	0.9384229	0.9485419
nitrate + silicate	SO	(28.1, Inf]	0.6960093	0.6852961	0.7062054
nitrate + silicate	SO	(28.1,28.15]	0.8773097	0.8747408	0.8813038
nitrate + silicate	SO	(28.15,28.2]	0.8754128	0.8673165	0.8809186
nitrate + silicate	SO	(28.2, Inf]	0.5527849	0.5371987	0.5644066
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.3399507	0.3248814	0.3639740
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7496501	0.7292154	0.7775485
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.5334254	0.5027344	0.5885976
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3272560	0.2685977	0.3712928
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5567333	0.5485296	0.5625093
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7205758	0.7071820	0.7374914
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7590061	0.7488157	0.7644131
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8988289	0.8965890	0.9013148
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9448225	0.9411878	0.9504441
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9633341	0.9573089	0.9698022
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9841353	0.9829871	0.9849339
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9853271	0.9814605	0.9878149
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9881179	0.9869783	0.9893409
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9951926	0.9950480	0.9954742
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7818057	0.7764915	0.7890514
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6597868	0.6563113	0.6636162
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6393975	0.6368313	0.6410607
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7284233	0.7240732	0.7309766
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.7898426	0.7869015	0.7929480
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7542396	0.7505583	0.7584181
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6113782	0.5947521	0.6300712
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5230070	0.4876735	0.5547950
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5066727	0.4969469	0.5181974
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5547726	0.5398213	0.5803026
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7061190	0.6948976	0.7165974
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1011258	0.0912385	0.1066171
phosphate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	-0.1488148	-0.4393027	0.0238970
phosphate + phosphate_star	SO	(26.5,26.75]	0.5802473	0.5564031	0.5937824
phosphate + phosphate_star	SO	(26.75,27]	0.7749610	0.7451306	0.8002200
phosphate + phosphate_star	SO	(27,27.25]	0.7031751	0.6971164	0.7126580
phosphate + phosphate_star	SO	(27.25,27.5]	0.2525088	0.2016338	0.2789643
phosphate + phosphate_star	SO	(27.5,27.75]	-0.0289933	-0.0584151	0.0047153
phosphate + phosphate_star	SO	(27.75,27.85]	-0.5918521	-0.6354748	-0.5495117
phosphate + phosphate_star	SO	(27.85,27.95]	-0.5641343	-0.5997581	-0.5311784
phosphate + phosphate_star	SO	(27.95,28.05]	-0.3765385	-0.4132193	-0.3423347
phosphate + phosphate_star	SO	(28.05,28.1]	-0.1104565	-0.1355042	-0.0705260
phosphate + phosphate_star	SO	(28.1, Inf]	-0.1922614	-0.2133661	-0.1561903
phosphate + phosphate_star	SO	(28.1,28.15]	0.6104806	0.5726967	0.6371964
phosphate + phosphate_star	SO	(28.15,28.2]	0.6962277	0.6341811	0.7282058
phosphate + phosphate_star	SO	(28.2, Inf]	0.8190943	0.7475223	0.8549640
sal + aou	Atlantic	(-Inf,26]	-0.3513072	-0.4200788	-0.2924338
sal + aou	Atlantic	(26,26.5]	-0.3413083	-0.3724986	-0.3055428
sal + aou	Atlantic	(26.5,26.75]	0.1845583	0.1076818	0.2435009
sal + aou	Atlantic	(26.75,27]	0.3811594	0.3531380	0.4139689
sal + aou	Atlantic	(27,27.25]	0.2142640	0.1957114	0.2415293
sal + aou	Atlantic	(27.25,27.5]	0.0966057	0.0078993	0.1528344
sal + aou	Atlantic	(27.5,27.75]	0.4763117	0.4261466	0.5022585
sal + aou	Atlantic	(27.75,27.85]	0.0584077	-0.0009889	0.1061136
sal + aou	Atlantic	(27.85,27.95]	-0.1247846	-0.1716612	-0.0790380
sal + aou	Atlantic	(27.95,28.05]	-0.4633384	-0.5117650	-0.4370104
sal + aou	Atlantic	(28.05,28.1]	-0.7769212	-0.8052750	-0.7243879
sal + aou	Atlantic	(28.1,28.15]	-0.8992329	-0.9087470	-0.8843790
sal + aou	Atlantic	(28.15,28.2]	-0.7529738	-0.7643228	-0.7407358
sal + aou	Atlantic	(28.2, Inf]	-0.9458473	-0.9505512	-0.9408237
sal + aou	Indo-Pacific	(-Inf,26]	-0.2989313	-0.3257958	-0.2837499
sal + aou	Indo-Pacific	(26,26.5]	-0.1975982	-0.2056307	-0.1871785
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1882814	-0.1953998	-0.1822033
sal + aou	Indo-Pacific	(26.75,27]	-0.3119087	-0.3187891	-0.3036651
sal + aou	Indo-Pacific	(27,27.25]	-0.4947944	-0.4988902	-0.4924097
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5234921	-0.5344145	-0.5166838
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3560344	-0.3754753	-0.3377336
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1482997	-0.1913608	-0.1191257
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0447828	-0.0775699	-0.0008854
sal + aou	Indo-Pacific	(27.95,28.05]	0.1071687	0.0553871	0.1588155
sal + aou	Indo-Pacific	(28.05,28.1]	0.1400420	0.0869819	0.1875910
sal + aou	Indo-Pacific	(28.1, Inf]	-0.3614071	-0.3893176	-0.3379908
sal + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
sal + aou	SO	(26,26.5]	0.6912816	0.5894927	0.8173991
sal + aou	SO	(26.5,26.75]	0.2326230	0.1399034	0.2803262
sal + aou	SO	(26.75,27]	-0.2521961	-0.2725719	-0.2406620
sal + aou	SO	(27,27.25]	-0.0609108	-0.0718142	-0.0537026
sal + aou	SO	(27.25,27.5]	0.5246936	0.4756955	0.5953251
sal + aou	SO	(27.5,27.75]	0.7158753	0.6834863	0.7380549
sal + aou	SO	(27.75,27.85]	0.8484845	0.8440243	0.8516936
sal + aou	SO	(27.85,27.95]	0.8825690	0.8690338	0.8957825
sal + aou	SO	(27.95,28.05]	0.8459645	0.8249695	0.8651646
sal + aou	SO	(28.05,28.1]	0.7303721	0.7086103	0.7421057
sal + aou	SO	(28.1, Inf]	0.5676706	0.5540818	0.5750326
sal + aou	SO	(28.1,28.15]	0.2400573	0.1992641	0.2950422
sal + aou	SO	(28.15,28.2]	-0.0188825	-0.0324585	-0.0114766
sal + aou	SO	(28.2, Inf]	-0.1207119	-0.2318241	0.0339493
sal + nitrate	Atlantic	(-Inf,26]	-0.6356969	-0.7308731	-0.5599181
sal + nitrate	Atlantic	(26,26.5]	-0.3610444	-0.3917464	-0.3454753
sal + nitrate	Atlantic	(26.5,26.75]	0.1326150	0.0376572	0.2070196
sal + nitrate	Atlantic	(26.75,27]	0.3358606	0.2860305	0.3730034
sal + nitrate	Atlantic	(27,27.25]	0.1113697	0.0740091	0.1591304
sal + nitrate	Atlantic	(27.25,27.5]	-0.0525108	-0.1658550	0.0296774
sal + nitrate	Atlantic	(27.5,27.75]	0.3917401	0.3396870	0.4207189
sal + nitrate	Atlantic	(27.75,27.85]	-0.2007942	-0.2900406	-0.1445316
sal + nitrate	Atlantic	(27.85,27.95]	-0.3404216	-0.4477302	-0.2862443
sal + nitrate	Atlantic	(27.95,28.05]	-0.5275407	-0.5941975	-0.4894782
sal + nitrate	Atlantic	(28.05,28.1]	-0.7889153	-0.8299847	-0.7152011
sal + nitrate	Atlantic	(28.1,28.15]	-0.8889869	-0.9178461	-0.8583499
sal + nitrate	Atlantic	(28.15,28.2]	-0.7904774	-0.8274936	-0.7362543
sal + nitrate	Atlantic	(28.2, Inf]	-0.9614202	-0.9702949	-0.9487391
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.4321453	-0.4559392	-0.4153584
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4642701	-0.4655894	-0.4627108
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4835905	-0.5004970	-0.4742575
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5445961	-0.5522855	-0.5373315
sal + nitrate	Indo-Pacific	(27,27.25]	-0.6904644	-0.6925257	-0.6884094
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6515404	-0.6665532	-0.6418886
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.4644939	-0.4787160	-0.4502233
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2090611	-0.2386927	-0.1675923
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.1228652	-0.1977593	-0.0479203
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.0098694	-0.0631901	0.0403406
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.0103578	-0.0468642	0.0610982
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.4050014	-0.4333542	-0.3812584
sal + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + nitrate	SO	(26,26.5]	0.4174808	0.2607227	0.7048452
sal + nitrate	SO	(26.5,26.75]	-0.3870334	-0.3998117	-0.3647426
sal + nitrate	SO	(26.75,27]	-0.6951417	-0.7199912	-0.6645655
sal + nitrate	SO	(27,27.25]	-0.6821441	-0.6848418	-0.6776274
sal + nitrate	SO	(27.25,27.5]	-0.0659275	-0.1384770	0.0413613
sal + nitrate	SO	(27.5,27.75]	0.3497424	0.2892329	0.3834227
sal + nitrate	SO	(27.75,27.85]	0.6922026	0.6771367	0.7067750
sal + nitrate	SO	(27.85,27.95]	0.7087579	0.6788986	0.7409930
sal + nitrate	SO	(27.95,28.05]	0.5734342	0.5172715	0.6327470
sal + nitrate	SO	(28.05,28.1]	0.3022616	0.2877252	0.3118688
sal + nitrate	SO	(28.1, Inf]	0.4566390	0.4250341	0.4842249
sal + nitrate	SO	(28.1,28.15]	-0.7224373	-0.7380967	-0.6965259
sal + nitrate	SO	(28.15,28.2]	-0.7894655	-0.8144145	-0.7767022
sal + nitrate	SO	(28.2, Inf]	-0.4379112	-0.5121740	-0.3392091
sal + phosphate	Atlantic	(-Inf,26]	-0.2895858	-0.3412877	-0.2572157
sal + phosphate	Atlantic	(26,26.5]	-0.5526224	-0.6127646	-0.5104000
sal + phosphate	Atlantic	(26.5,26.75]	-0.0573615	-0.1581141	0.0210869
sal + phosphate	Atlantic	(26.75,27]	0.2181703	0.1603402	0.2558410
sal + phosphate	Atlantic	(27,27.25]	0.0052133	-0.0281206	0.0542941
sal + phosphate	Atlantic	(27.25,27.5]	-0.1297940	-0.2412148	-0.0495073
sal + phosphate	Atlantic	(27.5,27.75]	0.3328679	0.2763901	0.3632659
sal + phosphate	Atlantic	(27.75,27.85]	-0.2409441	-0.3311818	-0.1840156
sal + phosphate	Atlantic	(27.85,27.95]	-0.3741903	-0.4826794	-0.3192895
sal + phosphate	Atlantic	(27.95,28.05]	-0.5405845	-0.6088415	-0.5006450
sal + phosphate	Atlantic	(28.05,28.1]	-0.8024460	-0.8448046	-0.7275903
sal + phosphate	Atlantic	(28.1,28.15]	-0.8869537	-0.9186341	-0.8550143
sal + phosphate	Atlantic	(28.15,28.2]	-0.7202903	-0.7579967	-0.6671162
sal + phosphate	Atlantic	(28.2, Inf]	-0.9417839	-0.9483245	-0.9310532
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3798126	-0.4043460	-0.3508003
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4083976	-0.4146178	-0.4042080
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3907374	-0.3993770	-0.3816589
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4437702	-0.4455822	-0.4417939
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6037633	-0.6113593	-0.5944040
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.6010700	-0.6219130	-0.5872965
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.4341863	-0.4556207	-0.4151590
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1963631	-0.2307377	-0.1629983
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.0985133	-0.1447069	-0.0457145
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.0629275	0.0098150	0.1185017
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.1048325	0.0548258	0.1522900
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.3686254	-0.3976177	-0.3439520
sal + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate	SO	(26,26.5]	0.2714987	0.0753936	0.5732466
sal + phosphate	SO	(26.5,26.75]	-0.5010705	-0.5136367	-0.4945462
sal + phosphate	SO	(26.75,27]	-0.7254698	-0.7495455	-0.6947229
sal + phosphate	SO	(27,27.25]	-0.7019877	-0.7080113	-0.6957218
sal + phosphate	SO	(27.25,27.5]	-0.0971455	-0.1737003	0.0123464
sal + phosphate	SO	(27.5,27.75]	0.3439607	0.2822330	0.3799664
sal + phosphate	SO	(27.75,27.85]	0.6876286	0.6715007	0.7036681
sal + phosphate	SO	(27.85,27.95]	0.7039057	0.6736119	0.7373317
sal + phosphate	SO	(27.95,28.05]	0.5752706	0.5196463	0.6342181
sal + phosphate	SO	(28.05,28.1]	0.3278369	0.3110210	0.3409059
sal + phosphate	SO	(28.1, Inf]	0.5630887	0.5302713	0.5900956
sal + phosphate	SO	(28.1,28.15]	-0.7327284	-0.7449211	-0.7083656
sal + phosphate	SO	(28.15,28.2]	-0.7931827	-0.8151735	-0.7809262
sal + phosphate	SO	(28.2, Inf]	-0.1580860	-0.2580171	-0.0350432
sal + phosphate_star	Atlantic	(-Inf,26]	-0.3558642	-0.4902271	-0.2638533
sal + phosphate_star	Atlantic	(26,26.5]	-0.7821437	-0.8214906	-0.7500533
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7566273	-0.7962744	-0.7207474
sal + phosphate_star	Atlantic	(26.75,27]	-0.6982352	-0.7318046	-0.6642207
sal + phosphate_star	Atlantic	(27,27.25]	-0.6911729	-0.7233979	-0.6513709
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.6614602	-0.7338305	-0.6161821
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.2329929	-0.2921415	-0.1930415
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.5515595	-0.6272936	-0.5070364
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.5877867	-0.6898385	-0.5280546
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.6353404	-0.7006629	-0.5935525
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.8343512	-0.8833708	-0.7554490
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.8707086	-0.9097865	-0.8332466
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.6945097	-0.7459832	-0.6115826
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9422019	-0.9471533	-0.9326902
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6724921	-0.6917459	-0.6389239
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8760467	-0.8794393	-0.8720457
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9019344	-0.9092022	-0.8970607
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8221328	-0.8301463	-0.8153121
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8752501	-0.8915842	-0.8560363
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8023012	-0.8284040	-0.7853189
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.7046782	-0.7179147	-0.6935856
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7134771	-0.7809145	-0.6735937
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6230336	-0.6817057	-0.5762990
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.5371579	-0.5610710	-0.5020164
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5058759	-0.5330296	-0.4823097
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1361699	-0.1601700	-0.1193121
sal + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8870457	-0.8996450	-0.8712625
sal + phosphate_star	SO	(26.5,26.75]	-0.9284848	-0.9368631	-0.9235103
sal + phosphate_star	SO	(26.75,27]	-0.9256130	-0.9327670	-0.9123822
sal + phosphate_star	SO	(27,27.25]	-0.9581397	-0.9590247	-0.9571909
sal + phosphate_star	SO	(27.25,27.5]	-0.9477305	-0.9536580	-0.9394395
sal + phosphate_star	SO	(27.5,27.75]	-0.8993333	-0.9092233	-0.8818069
sal + phosphate_star	SO	(27.75,27.85]	-0.9505188	-0.9579083	-0.9429234
sal + phosphate_star	SO	(27.85,27.95]	-0.9411920	-0.9427135	-0.9391208
sal + phosphate_star	SO	(27.95,28.05]	-0.9103638	-0.9187807	-0.8990650
sal + phosphate_star	SO	(28.05,28.1]	-0.8748943	-0.8817592	-0.8621120
sal + phosphate_star	SO	(28.1, Inf]	-0.2574589	-0.2722928	-0.2341991
sal + phosphate_star	SO	(28.1,28.15]	-0.8901653	-0.9177319	-0.8735848
sal + phosphate_star	SO	(28.15,28.2]	-0.9237154	-0.9324330	-0.9134775
sal + phosphate_star	SO	(28.2, Inf]	-0.2145516	-0.2532733	-0.1732169
sal + silicate	Atlantic	(-Inf,26]	-0.8025166	-0.8311899	-0.7516350
sal + silicate	Atlantic	(26,26.5]	0.0802099	0.0204711	0.1655618
sal + silicate	Atlantic	(26.5,26.75]	0.2453023	0.2286915	0.2591405
sal + silicate	Atlantic	(26.75,27]	0.0857313	-0.0102003	0.1627672
sal + silicate	Atlantic	(27,27.25]	-0.2109113	-0.2696421	-0.1258021
sal + silicate	Atlantic	(27.25,27.5]	-0.2835171	-0.4147657	-0.1823309
sal + silicate	Atlantic	(27.5,27.75]	0.1710884	0.1277546	0.1987692
sal + silicate	Atlantic	(27.75,27.85]	-0.5374058	-0.6313810	-0.4894625
sal + silicate	Atlantic	(27.85,27.95]	-0.6721606	-0.7737840	-0.6051896
sal + silicate	Atlantic	(27.95,28.05]	-0.7463940	-0.8078246	-0.7027415
sal + silicate	Atlantic	(28.05,28.1]	-0.8927095	-0.9267713	-0.8249384
sal + silicate	Atlantic	(28.1,28.15]	-0.8507329	-0.8836001	-0.8239291
sal + silicate	Atlantic	(28.15,28.2]	-0.5721745	-0.6041166	-0.5179065
sal + silicate	Atlantic	(28.2, Inf]	-0.9007215	-0.9051817	-0.8940025
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5496881	-0.5631014	-0.5391425
sal + silicate	Indo-Pacific	(26,26.5]	-0.6000951	-0.6055488	-0.5959029
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6560952	-0.6705853	-0.6450810
sal + silicate	Indo-Pacific	(26.75,27]	-0.6555722	-0.6585173	-0.6535305
sal + silicate	Indo-Pacific	(27,27.25]	-0.7536310	-0.7607145	-0.7486393
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7327592	-0.7513287	-0.7183453
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5543897	-0.5688449	-0.5388398
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.3018150	-0.3216791	-0.2638313
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.1677352	-0.2267159	-0.1035156
sal + silicate	Indo-Pacific	(27.95,28.05]	0.0138209	-0.0322616	0.0665751
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0833377	0.0243066	0.1347627
sal + silicate	Indo-Pacific	(28.1, Inf]	0.0954981	0.0588989	0.1200568
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.7549835	0.6726173	0.8367602
sal + silicate	SO	(26.5,26.75]	0.3404173	0.2991912	0.3931986
sal + silicate	SO	(26.75,27]	-0.2458737	-0.2967381	-0.1932129
sal + silicate	SO	(27,27.25]	-0.4636343	-0.4828595	-0.4480383
sal + silicate	SO	(27.25,27.5]	-0.0673233	-0.1326049	0.0267423
sal + silicate	SO	(27.5,27.75]	0.3201388	0.2653765	0.3633992
sal + silicate	SO	(27.75,27.85]	0.6695612	0.6524562	0.6890423
sal + silicate	SO	(27.85,27.95]	0.7130497	0.6918696	0.7405044
sal + silicate	SO	(27.95,28.05]	0.6593226	0.6263170	0.6946546
sal + silicate	SO	(28.05,28.1]	0.5319108	0.5141127	0.5516480
sal + silicate	SO	(28.1, Inf]	0.8218895	0.7996413	0.8371627
sal + silicate	SO	(28.1,28.15]	-0.4673659	-0.5238277	-0.4187706
sal + silicate	SO	(28.15,28.2]	-0.5115201	-0.5459585	-0.4919229
sal + silicate	SO	(28.2, Inf]	0.3943200	0.3148405	0.4735832
sal + temp	Atlantic	(-Inf,26]	0.6804403	0.6490955	0.7129495
sal + temp	Atlantic	(26,26.5]	0.9419317	0.9359237	0.9476947
sal + temp	Atlantic	(26.5,26.75]	0.9717532	0.9695118	0.9736888
sal + temp	Atlantic	(26.75,27]	0.9695744	0.9670578	0.9712054
sal + temp	Atlantic	(27,27.25]	0.9596644	0.9583921	0.9616843
sal + temp	Atlantic	(27.25,27.5]	0.9661295	0.9620507	0.9699547
sal + temp	Atlantic	(27.5,27.75]	0.9724717	0.9698740	0.9738478
sal + temp	Atlantic	(27.75,27.85]	0.9604659	0.9579553	0.9641973
sal + temp	Atlantic	(27.85,27.95]	0.9198227	0.9118535	0.9244682
sal + temp	Atlantic	(27.95,28.05]	0.8362016	0.8121976	0.8634755
sal + temp	Atlantic	(28.05,28.1]	0.8439700	0.8368660	0.8509279
sal + temp	Atlantic	(28.1,28.15]	0.7481827	0.7039960	0.7745791
sal + temp	Atlantic	(28.15,28.2]	0.7166304	0.7045496	0.7370781
sal + temp	Atlantic	(28.2, Inf]	0.9176929	0.8932284	0.9340438
sal + temp	Indo-Pacific	(-Inf,26]	0.8145111	0.8085737	0.8223229
sal + temp	Indo-Pacific	(26,26.5]	0.9572132	0.9559708	0.9592898
sal + temp	Indo-Pacific	(26.5,26.75]	0.9816586	0.9806152	0.9823718
sal + temp	Indo-Pacific	(26.75,27]	0.9787058	0.9786017	0.9788387
sal + temp	Indo-Pacific	(27,27.25]	0.9766405	0.9758217	0.9777796
sal + temp	Indo-Pacific	(27.25,27.5]	0.9307571	0.9291129	0.9323845
sal + temp	Indo-Pacific	(27.5,27.75]	0.8276199	0.8184813	0.8401983
sal + temp	Indo-Pacific	(27.75,27.85]	0.9549128	0.9462665	0.9613282
sal + temp	Indo-Pacific	(27.85,27.95]	0.7783879	0.7689649	0.7871001
sal + temp	Indo-Pacific	(27.95,28.05]	0.7240410	0.7032878	0.7440298
sal + temp	Indo-Pacific	(28.05,28.1]	0.9264418	0.9219045	0.9350480
sal + temp	Indo-Pacific	(28.1, Inf]	-0.2069424	-0.2131686	-0.1957418
sal + temp	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + temp	SO	(26,26.5]	0.9577684	0.9477708	0.9650694
sal + temp	SO	(26.5,26.75]	0.9715580	0.9700136	0.9735225
sal + temp	SO	(26.75,27]	0.9663875	0.9623496	0.9688564
sal + temp	SO	(27,27.25]	0.9579779	0.9563084	0.9610474
sal + temp	SO	(27.25,27.5]	0.9280156	0.9232739	0.9317353
sal + temp	SO	(27.5,27.75]	0.8440656	0.8321393	0.8510969
sal + temp	SO	(27.75,27.85]	0.9371799	0.9351547	0.9382378
sal + temp	SO	(27.85,27.95]	0.9416472	0.9396663	0.9450723
sal + temp	SO	(27.95,28.05]	0.9215448	0.9165258	0.9267952
sal + temp	SO	(28.05,28.1]	0.9347317	0.9305286	0.9385433
sal + temp	SO	(28.1, Inf]	0.3424957	0.3165870	0.3625245
sal + temp	SO	(28.1,28.15]	0.9189875	0.9001141	0.9315457
sal + temp	SO	(28.15,28.2]	0.9212872	0.9118110	0.9387784
sal + temp	SO	(28.2, Inf]	0.6053958	0.5882305	0.6145734
silicate + phosphate	Atlantic	(-Inf,26]	-0.0625531	-0.1115110	-0.0360923
silicate + phosphate	Atlantic	(26,26.5]	-0.0611127	-0.0765914	-0.0433726
silicate + phosphate	Atlantic	(26.5,26.75]	0.5431167	0.5144049	0.5815750
silicate + phosphate	Atlantic	(26.75,27]	0.8435403	0.8369468	0.8526264
silicate + phosphate	Atlantic	(27,27.25]	0.8888520	0.8798194	0.8974757
silicate + phosphate	Atlantic	(27.25,27.5]	0.8959253	0.8945301	0.8978421
silicate + phosphate	Atlantic	(27.5,27.75]	0.9070291	0.9043390	0.9112789
silicate + phosphate	Atlantic	(27.75,27.85]	0.8828729	0.8751179	0.8909687
silicate + phosphate	Atlantic	(27.85,27.95]	0.8988426	0.8914494	0.9101923
silicate + phosphate	Atlantic	(27.95,28.05]	0.9189956	0.9107543	0.9266327
silicate + phosphate	Atlantic	(28.05,28.1]	0.9466090	0.9461102	0.9469035
silicate + phosphate	Atlantic	(28.1,28.15]	0.9563167	0.9542179	0.9579022
silicate + phosphate	Atlantic	(28.15,28.2]	0.9650751	0.9621408	0.9671125
silicate + phosphate	Atlantic	(28.2, Inf]	0.9813847	0.9795777	0.9826143
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8889430	0.8840237	0.8925637
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8841414	0.8815680	0.8856699
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8481981	0.8456555	0.8526159
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8846043	0.8833295	0.8861794
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9144423	0.9133261	0.9159366
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9310280	0.9280876	0.9345396
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9380585	0.9363913	0.9412943
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9553417	0.9540715	0.9562046
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9512500	0.9503598	0.9530193
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9692857	0.9652867	0.9719804
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9774111	0.9770816	0.9778525
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7772079	0.7731817	0.7799872
silicate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
silicate + phosphate	SO	(26,26.5]	0.7551717	0.6886178	0.8756325
silicate + phosphate	SO	(26.5,26.75]	0.5520637	0.4933310	0.5840888
silicate + phosphate	SO	(26.75,27]	0.7886969	0.7721473	0.8163784
silicate + phosphate	SO	(27,27.25]	0.9048402	0.9010984	0.9099423
silicate + phosphate	SO	(27.25,27.5]	0.9672071	0.9662016	0.9680845
silicate + phosphate	SO	(27.5,27.75]	0.9702980	0.9686466	0.9724590
silicate + phosphate	SO	(27.75,27.85]	0.9782399	0.9764675	0.9797554
silicate + phosphate	SO	(27.85,27.95]	0.9807525	0.9794367	0.9818697
silicate + phosphate	SO	(27.95,28.05]	0.9760166	0.9716678	0.9797577
silicate + phosphate	SO	(28.05,28.1]	0.9599835	0.9563212	0.9624063
silicate + phosphate	SO	(28.1, Inf]	0.8052595	0.7971460	0.8125732
silicate + phosphate	SO	(28.1,28.15]	0.8939740	0.8902092	0.9000383
silicate + phosphate	SO	(28.15,28.2]	0.8900623	0.8858848	0.8942552
silicate + phosphate	SO	(28.2, Inf]	0.8056456	0.7943423	0.8226370
silicate + phosphate_star	Atlantic	(-Inf,26]	0.0938298	-0.0391712	0.2970116
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3651512	-0.3844185	-0.3390956
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0374275	-0.0092205	0.1036776
silicate + phosphate_star	Atlantic	(26.75,27]	0.4348742	0.3787476	0.5315467
silicate + phosphate_star	Atlantic	(27,27.25]	0.8066763	0.7866255	0.8250363
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8925716	0.8733183	0.9101247
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9041152	0.8961109	0.9148553
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9872096	0.9864507	0.9886992
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9804249	0.9777057	0.9824431
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9738854	0.9718749	0.9756909
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9721006	0.9690418	0.9744813
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9673994	0.9644467	0.9719934
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9669387	0.9625374	0.9695721
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9853231	0.9850323	0.9857760
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7567078	0.7470930	0.7665365
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7669468	0.7657466	0.7691842
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7878393	0.7797595	0.7947532
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8246769	0.8220472	0.8272063
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8426738	0.8393727	0.8443739
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7897221	0.7843031	0.7925069
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6895939	0.6750383	0.7062210
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5680183	0.5254992	0.6029454
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5865742	0.5844919	0.5897877
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5982228	0.5806118	0.6186060
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6798924	0.6688004	0.6886147
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.3598535	0.3522241	0.3663729
silicate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.6372914	-0.7251935	-0.5910690
silicate + phosphate_star	SO	(26.5,26.75]	-0.2543403	-0.3212579	-0.2163512
silicate + phosphate_star	SO	(26.75,27]	0.3429241	0.2967319	0.3842085
silicate + phosphate_star	SO	(27,27.25]	0.5282756	0.5115279	0.5385854
silicate + phosphate_star	SO	(27.25,27.5]	0.2432130	0.1970546	0.2670942
silicate + phosphate_star	SO	(27.5,27.75]	0.0003360	-0.0166368	0.0337819
silicate + phosphate_star	SO	(27.75,27.85]	-0.5420794	-0.5907971	-0.4971001
silicate + phosphate_star	SO	(27.85,27.95]	-0.5442800	-0.5726014	-0.5195667
silicate + phosphate_star	SO	(27.95,28.05]	-0.4277618	-0.4440347	-0.4101188
silicate + phosphate_star	SO	(28.05,28.1]	-0.2731348	-0.2968502	-0.2383712
silicate + phosphate_star	SO	(28.1, Inf]	0.0619077	0.0397425	0.0888816
silicate + phosphate_star	SO	(28.1,28.15]	0.4361926	0.3778879	0.5151173
silicate + phosphate_star	SO	(28.15,28.2]	0.4358884	0.3567830	0.4854591
silicate + phosphate_star	SO	(28.2, Inf]	0.7130244	0.6567339	0.7535165
temp + aou	Atlantic	(-Inf,26]	-0.5530741	-0.5917281	-0.5277508
temp + aou	Atlantic	(26,26.5]	-0.3882019	-0.4246494	-0.3306610
temp + aou	Atlantic	(26.5,26.75]	0.0807412	0.0182510	0.1262917
temp + aou	Atlantic	(26.75,27]	0.2841453	0.2603002	0.3246100
temp + aou	Atlantic	(27,27.25]	0.2095500	0.1931247	0.2394830
temp + aou	Atlantic	(27.25,27.5]	0.1367211	0.0643188	0.1858769
temp + aou	Atlantic	(27.5,27.75]	0.4930283	0.4445354	0.5191416
temp + aou	Atlantic	(27.75,27.85]	0.0851709	0.0468552	0.1295847
temp + aou	Atlantic	(27.85,27.95]	-0.0846303	-0.1400485	-0.0531633
temp + aou	Atlantic	(27.95,28.05]	-0.1887735	-0.2322394	-0.1207855
temp + aou	Atlantic	(28.05,28.1]	-0.4777021	-0.5239809	-0.4214331
temp + aou	Atlantic	(28.1,28.15]	-0.5873218	-0.6357564	-0.5357317
temp + aou	Atlantic	(28.15,28.2]	-0.7780578	-0.8078165	-0.7387830
temp + aou	Atlantic	(28.2, Inf]	-0.8938574	-0.9166732	-0.8763378
temp + aou	Indo-Pacific	(-Inf,26]	-0.4018894	-0.4110272	-0.3918185
temp + aou	Indo-Pacific	(26,26.5]	-0.2443105	-0.2553820	-0.2312547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1797988	-0.1862983	-0.1741387
temp + aou	Indo-Pacific	(26.75,27]	-0.2648667	-0.2688166	-0.2624029
temp + aou	Indo-Pacific	(27,27.25]	-0.4799839	-0.4862623	-0.4751482
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5171564	-0.5245069	-0.5097663
temp + aou	Indo-Pacific	(27.5,27.75]	-0.3336097	-0.3546870	-0.3186177
temp + aou	Indo-Pacific	(27.75,27.85]	-0.1110768	-0.1433509	-0.0883637
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0552823	-0.0783230	-0.0180200
temp + aou	Indo-Pacific	(27.95,28.05]	0.0223536	-0.0185845	0.0635583
temp + aou	Indo-Pacific	(28.05,28.1]	0.0918562	0.0295425	0.1268006
temp + aou	Indo-Pacific	(28.1, Inf]	0.7354539	0.7304714	0.7393577
temp + aou	SO	(-Inf,26]	0.0000000	-1.0000000	1.0000000
temp + aou	SO	(26,26.5]	0.7018330	0.6084667	0.8435702
temp + aou	SO	(26.5,26.75]	0.2356421	0.1290877	0.2944134
temp + aou	SO	(26.75,27]	-0.2352570	-0.2587605	-0.2137494
temp + aou	SO	(27,27.25]	-0.0455934	-0.0557011	-0.0287573
temp + aou	SO	(27.25,27.5]	0.3356412	0.3134204	0.3761384
temp + aou	SO	(27.5,27.75]	0.3667882	0.3329260	0.3954070
temp + aou	SO	(27.75,27.85]	0.7489286	0.7417726	0.7539122
temp + aou	SO	(27.85,27.95]	0.8159088	0.8130250	0.8201150
temp + aou	SO	(27.95,28.05]	0.7941162	0.7918504	0.7962744
temp + aou	SO	(28.05,28.1]	0.7319965	0.7127399	0.7442857
temp + aou	SO	(28.1, Inf]	0.7271589	0.7119275	0.7393012
temp + aou	SO	(28.1,28.15]	0.2458677	0.1972083	0.3047056
temp + aou	SO	(28.15,28.2]	-0.0694503	-0.1097787	-0.0148742
temp + aou	SO	(28.2, Inf]	0.0123028	-0.0420579	0.0906504
temp + nitrate	Atlantic	(-Inf,26]	-0.7436639	-0.7702793	-0.7193311
temp + nitrate	Atlantic	(26,26.5]	-0.3966709	-0.4580599	-0.3381575
temp + nitrate	Atlantic	(26.5,26.75]	0.0230862	-0.0588786	0.0822651
temp + nitrate	Atlantic	(26.75,27]	0.2253056	0.1794216	0.2689253
temp + nitrate	Atlantic	(27,27.25]	0.0946165	0.0577731	0.1458932
temp + nitrate	Atlantic	(27.25,27.5]	-0.0076666	-0.1063033	0.0670080
temp + nitrate	Atlantic	(27.5,27.75]	0.3991607	0.3495935	0.4290698
temp + nitrate	Atlantic	(27.75,27.85]	-0.1962436	-0.2648670	-0.1414799
temp + nitrate	Atlantic	(27.85,27.95]	-0.3307431	-0.4417400	-0.2560494
temp + nitrate	Atlantic	(27.95,28.05]	-0.3351802	-0.3964579	-0.2738278
temp + nitrate	Atlantic	(28.05,28.1]	-0.5427033	-0.5918928	-0.4685476
temp + nitrate	Atlantic	(28.1,28.15]	-0.6137913	-0.6497746	-0.5864156
temp + nitrate	Atlantic	(28.15,28.2]	-0.7860376	-0.8509210	-0.6837463
temp + nitrate	Atlantic	(28.2, Inf]	-0.8771378	-0.9178940	-0.8439553
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5610663	-0.5675455	-0.5530350
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5133584	-0.5203050	-0.5095957
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4805528	-0.5019464	-0.4621148
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5114947	-0.5246664	-0.5001753
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6931348	-0.6940531	-0.6924223
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.6825843	-0.6916732	-0.6760375
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.5197466	-0.5305161	-0.5096727
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1812334	-0.1988558	-0.1603498
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1775845	-0.2281635	-0.1140886
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.1083105	-0.1419837	-0.0710413
temp + nitrate	Indo-Pacific	(28.05,28.1]	-0.0363790	-0.1054260	0.0039532
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.6507368	0.6445653	0.6578047
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.3712612	0.2223244	0.6496148
temp + nitrate	SO	(26.5,26.75]	-0.3996162	-0.4232201	-0.3586900
temp + nitrate	SO	(26.75,27]	-0.6990735	-0.7252526	-0.6662514
temp + nitrate	SO	(27,27.25]	-0.6843317	-0.6917690	-0.6791329
temp + nitrate	SO	(27.25,27.5]	-0.3016670	-0.3398908	-0.2390852
temp + nitrate	SO	(27.5,27.75]	-0.0930247	-0.1451912	-0.0627758
temp + nitrate	SO	(27.75,27.85]	0.5600174	0.5534389	0.5646155
temp + nitrate	SO	(27.85,27.95]	0.6164043	0.6044258	0.6281100
temp + nitrate	SO	(27.95,28.05]	0.5012816	0.4768841	0.5275621
temp + nitrate	SO	(28.05,28.1]	0.2871712	0.2853921	0.2883571
temp + nitrate	SO	(28.1, Inf]	0.5171989	0.5084679	0.5267933
temp + nitrate	SO	(28.1,28.15]	-0.7428236	-0.7610492	-0.7295332
temp + nitrate	SO	(28.15,28.2]	-0.8123676	-0.8339865	-0.7740879
temp + nitrate	SO	(28.2, Inf]	-0.6868928	-0.7213990	-0.6225489
temp + phosphate	Atlantic	(-Inf,26]	-0.6233356	-0.6569162	-0.5606861
temp + phosphate	Atlantic	(26,26.5]	-0.5902127	-0.6416529	-0.5628205
temp + phosphate	Atlantic	(26.5,26.75]	-0.1508850	-0.2344425	-0.0880763
temp + phosphate	Atlantic	(26.75,27]	0.1212282	0.0704391	0.1635397
temp + phosphate	Atlantic	(27,27.25]	0.0052582	-0.0260565	0.0570992
temp + phosphate	Atlantic	(27.25,27.5]	-0.0781371	-0.1745303	-0.0053853
temp + phosphate	Atlantic	(27.5,27.75]	0.3427997	0.2891775	0.3735577
temp + phosphate	Atlantic	(27.75,27.85]	-0.2383684	-0.3083247	-0.1827692
temp + phosphate	Atlantic	(27.85,27.95]	-0.3678342	-0.4798113	-0.2913830
temp + phosphate	Atlantic	(27.95,28.05]	-0.3634446	-0.4265839	-0.3040605
temp + phosphate	Atlantic	(28.05,28.1]	-0.5716769	-0.6200009	-0.4959780
temp + phosphate	Atlantic	(28.1,28.15]	-0.6439691	-0.6768521	-0.6109489
temp + phosphate	Atlantic	(28.15,28.2]	-0.8019973	-0.8690636	-0.6944503
temp + phosphate	Atlantic	(28.2, Inf]	-0.8752233	-0.9159263	-0.8427899
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5007547	-0.5153126	-0.4863644
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4594603	-0.4654213	-0.4517988
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3862405	-0.4012173	-0.3772583
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4034990	-0.4089656	-0.3997693
temp + phosphate	Indo-Pacific	(27,27.25]	-0.5991767	-0.6074360	-0.5916137
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6204431	-0.6395272	-0.6102503
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.4513704	-0.4739079	-0.4360291
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1619724	-0.1876281	-0.1462107
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.1311291	-0.1578041	-0.0857578
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0377235	-0.0796000	0.0066167
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0557289	-0.0053401	0.0923293
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.6963329	0.6903279	0.7012061
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	0.2154241	0.0480015	0.5076061
temp + phosphate	SO	(26.5,26.75]	-0.5165773	-0.5319191	-0.4937668
temp + phosphate	SO	(26.75,27]	-0.7274654	-0.7538915	-0.6933618
temp + phosphate	SO	(27,27.25]	-0.6991004	-0.7055025	-0.6953590
temp + phosphate	SO	(27.25,27.5]	-0.3245230	-0.3650901	-0.2601602
temp + phosphate	SO	(27.5,27.75]	-0.0935076	-0.1477667	-0.0643913
temp + phosphate	SO	(27.75,27.85]	0.5573625	0.5494921	0.5615932
temp + phosphate	SO	(27.85,27.95]	0.6125025	0.6000805	0.6249837
temp + phosphate	SO	(27.95,28.05]	0.5063138	0.4819018	0.5324456
temp + phosphate	SO	(28.05,28.1]	0.3166582	0.3143989	0.3184881
temp + phosphate	SO	(28.1, Inf]	0.4883743	0.4788258	0.5002339
temp + phosphate	SO	(28.1,28.15]	-0.7470808	-0.7666121	-0.7372137
temp + phosphate	SO	(28.15,28.2]	-0.8064619	-0.8238423	-0.7727500
temp + phosphate	SO	(28.2, Inf]	-0.5600785	-0.6223320	-0.4676079
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7349682	-0.8512345	-0.6569761
temp + phosphate_star	Atlantic	(26,26.5]	-0.8027808	-0.8246028	-0.7727328
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7788686	-0.8108801	-0.7516497
temp + phosphate_star	Atlantic	(26.75,27]	-0.7326886	-0.7579935	-0.7047845
temp + phosphate_star	Atlantic	(27,27.25]	-0.6893684	-0.7206563	-0.6483154
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.6211680	-0.6870866	-0.5802154
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.2395716	-0.2950720	-0.2040905
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.5724298	-0.6324090	-0.5278562
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.6119966	-0.7116571	-0.5352956
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.5594376	-0.6194734	-0.5242388
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.6831762	-0.7270708	-0.6052036
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.7226003	-0.7623246	-0.6664701
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8340043	-0.9211272	-0.6890926
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8906837	-0.9320949	-0.8580271
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8261668	-0.8458409	-0.8126939
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9184592	-0.9203692	-0.9167429
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9140922	-0.9211673	-0.9083163
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8223360	-0.8324454	-0.8162324
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8987417	-0.9142325	-0.8805122
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8934999	-0.9230124	-0.8758195
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8876703	-0.8913104	-0.8849848
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7297538	-0.7984705	-0.6919280
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8283298	-0.8711248	-0.7939776
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7907709	-0.8013280	-0.7733453
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5691099	-0.5875620	-0.5419489
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5773852	-0.5855129	-0.5666182
temp + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9549692	-0.9592085	-0.9501326
temp + phosphate_star	SO	(26.5,26.75]	-0.9531185	-0.9621179	-0.9427377
temp + phosphate_star	SO	(26.75,27]	-0.9489715	-0.9537742	-0.9420271
temp + phosphate_star	SO	(27,27.25]	-0.9769241	-0.9779466	-0.9752245
temp + phosphate_star	SO	(27.25,27.5]	-0.9902443	-0.9918388	-0.9893042
temp + phosphate_star	SO	(27.5,27.75]	-0.9807964	-0.9832234	-0.9773092
temp + phosphate_star	SO	(27.75,27.85]	-0.9655187	-0.9669834	-0.9640305
temp + phosphate_star	SO	(27.85,27.95]	-0.9608074	-0.9637706	-0.9572703
temp + phosphate_star	SO	(27.95,28.05]	-0.9347329	-0.9356530	-0.9334351
temp + phosphate_star	SO	(28.05,28.1]	-0.9067947	-0.9112052	-0.9035664
temp + phosphate_star	SO	(28.1, Inf]	-0.8053770	-0.8112165	-0.8000053
temp + phosphate_star	SO	(28.1,28.15]	-0.9225073	-0.9275762	-0.9157899
temp + phosphate_star	SO	(28.15,28.2]	-0.9203062	-0.9243955	-0.9155857
temp + phosphate_star	SO	(28.2, Inf]	-0.7319818	-0.7745782	-0.6851364
temp + silicate	Atlantic	(-Inf,26]	-0.4671876	-0.4863418	-0.4547461
temp + silicate	Atlantic	(26,26.5]	0.0825642	0.0619177	0.1061350
temp + silicate	Atlantic	(26.5,26.75]	0.1562328	0.1365898	0.1721563
temp + silicate	Atlantic	(26.75,27]	-0.0450249	-0.1288758	0.0179891
temp + silicate	Atlantic	(27,27.25]	-0.2290099	-0.2836525	-0.1449840
temp + silicate	Atlantic	(27.25,27.5]	-0.2317582	-0.3517825	-0.1371905
temp + silicate	Atlantic	(27.5,27.75]	0.1778347	0.1395998	0.2051476
temp + silicate	Atlantic	(27.75,27.85]	-0.5398515	-0.6143180	-0.4953244
temp + silicate	Atlantic	(27.85,27.95]	-0.6547442	-0.7572781	-0.5767772
temp + silicate	Atlantic	(27.95,28.05]	-0.6493691	-0.7036586	-0.6124004
temp + silicate	Atlantic	(28.05,28.1]	-0.7752386	-0.8190143	-0.7023204
temp + silicate	Atlantic	(28.1,28.15]	-0.7747997	-0.7984333	-0.7359289
temp + silicate	Atlantic	(28.15,28.2]	-0.8157224	-0.8741865	-0.7139127
temp + silicate	Atlantic	(28.2, Inf]	-0.8937418	-0.9213988	-0.8680664
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5995252	-0.6003308	-0.5984378
temp + silicate	Indo-Pacific	(26,26.5]	-0.6280570	-0.6377961	-0.6195295
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6551673	-0.6738386	-0.6389953
temp + silicate	Indo-Pacific	(26.75,27]	-0.6279489	-0.6338047	-0.6243560
temp + silicate	Indo-Pacific	(27,27.25]	-0.7629451	-0.7699620	-0.7589249
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.7717045	-0.7867949	-0.7624322
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.6257591	-0.6380693	-0.6166335
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.2905267	-0.2991765	-0.2760307
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.2924746	-0.3323358	-0.2401840
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.1595536	-0.1915655	-0.1105102
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0090403	-0.0559430	0.0447560
temp + silicate	Indo-Pacific	(28.1, Inf]	0.3180720	0.3109482	0.3321481
temp + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + silicate	SO	(26,26.5]	0.6943470	0.6204452	0.7938020
temp + silicate	SO	(26.5,26.75]	0.3019324	0.2705410	0.3586948
temp + silicate	SO	(26.75,27]	-0.2914133	-0.3387668	-0.2386613
temp + silicate	SO	(27,27.25]	-0.5312456	-0.5438086	-0.5142057
temp + silicate	SO	(27.25,27.5]	-0.3184383	-0.3565476	-0.2572485
temp + silicate	SO	(27.5,27.75]	-0.1048744	-0.1594897	-0.0661911
temp + silicate	SO	(27.75,27.85]	0.5348282	0.5225595	0.5454196
temp + silicate	SO	(27.85,27.95]	0.6123907	0.6061708	0.6182398
temp + silicate	SO	(27.95,28.05]	0.5741908	0.5661177	0.5823871
temp + silicate	SO	(28.05,28.1]	0.5093588	0.5050200	0.5166316
temp + silicate	SO	(28.1, Inf]	0.2243565	0.2149110	0.2400510
temp + silicate	SO	(28.1,28.15]	-0.5053531	-0.5850065	-0.4539867
temp + silicate	SO	(28.15,28.2]	-0.5223389	-0.5507077	-0.4718066
temp + silicate	SO	(28.2, Inf]	-0.1921589	-0.2759955	-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]	0.3974007	0.3525260	0.4575999
aou	Atlantic	(26,26.5]	0.0248489	-0.1588292	0.1367570
aou	Atlantic	(26.5,26.75]	-0.0606960	-0.1894878	0.0405887
aou	Atlantic	(26.75,27]	-0.1013862	-0.3296190	0.1329151
aou	Atlantic	(27,27.25]	-0.4967505	-0.6257769	-0.3517818
aou	Atlantic	(27.25,27.5]	-0.6743594	-0.7099849	-0.6162186
aou	Atlantic	(27.5,27.75]	-0.7772645	-0.7828598	-0.7698083
aou	Atlantic	(27.75,27.85]	-0.7522752	-0.7663527	-0.7328915
aou	Atlantic	(27.85,27.95]	-0.8271174	-0.8626184	-0.8000119
aou	Atlantic	(27.95,28.05]	-0.7830636	-0.8002978	-0.7660834
aou	Atlantic	(28.05,28.1]	-0.9566250	-0.9677501	-0.9390089
aou	Atlantic	(28.1,28.15]	-0.9479701	-0.9599657	-0.9358454
aou	Atlantic	(28.15,28.2]	-0.9269644	-0.9628344	-0.8750252
aou	Atlantic	(28.2, Inf]	-0.9551476	-0.9737004	-0.9448160
aou	Indo-Pacific	(-Inf,26]	-0.1213301	-0.2525221	0.0406034
aou	Indo-Pacific	(26,26.5]	-0.4272829	-0.5626889	-0.2465130
aou	Indo-Pacific	(26.5,26.75]	-0.6926833	-0.7599925	-0.5903911
aou	Indo-Pacific	(26.75,27]	-0.7579714	-0.8236382	-0.6800362
aou	Indo-Pacific	(27,27.25]	-0.6117371	-0.7037720	-0.4814206
aou	Indo-Pacific	(27.25,27.5]	-0.3589025	-0.5244383	-0.1503569
aou	Indo-Pacific	(27.5,27.75]	0.2437196	-0.0002856	0.5019192
aou	Indo-Pacific	(27.75,27.85]	0.7865575	0.7117974	0.8669191
aou	Indo-Pacific	(27.85,27.95]	0.8627968	0.8146609	0.8909356
aou	Indo-Pacific	(27.95,28.05]	0.9393801	0.9367721	0.9439351
aou	Indo-Pacific	(28.05,28.1]	0.9402765	0.9339623	0.9448235
aou	Indo-Pacific	(28.1, Inf]	0.6302694	0.6254845	0.6344180
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.2188761	0.1180763	0.4186000
aou	SO	(26.5,26.75]	0.0301827	0.0004009	0.0707691
aou	SO	(26.75,27]	-0.4374909	-0.4910777	-0.3632951
aou	SO	(27,27.25]	-0.3792889	-0.4335975	-0.2935677
aou	SO	(27.25,27.5]	-0.2865759	-0.4515983	-0.0493191
aou	SO	(27.5,27.75]	-0.4936093	-0.7283205	-0.1531700
aou	SO	(27.75,27.85]	-0.5899794	-0.9107077	-0.0854798
aou	SO	(27.85,27.95]	-0.5358377	-0.8991560	0.0242448
aou	SO	(27.95,28.05]	-0.4738000	-0.8396831	0.0243203
aou	SO	(28.05,28.1]	-0.5334057	-0.8304778	-0.1581706
aou	SO	(28.1, Inf]	0.0322307	-0.2126161	0.3121923
aou	SO	(28.1,28.15]	-0.2281268	-0.3873131	-0.0971418
aou	SO	(28.15,28.2]	-0.3909313	-0.5110330	-0.2640513
aou	SO	(28.2, Inf]	0.0108191	-0.0630191	0.0517900
nitrate	Atlantic	(-Inf,26]	0.1195190	0.0217533	0.1922343
nitrate	Atlantic	(26,26.5]	-0.2002759	-0.4198559	-0.0371101
nitrate	Atlantic	(26.5,26.75]	-0.2122371	-0.3465636	-0.1137493
nitrate	Atlantic	(26.75,27]	-0.2077564	-0.4180557	0.0117022
nitrate	Atlantic	(27,27.25]	-0.6387768	-0.7379324	-0.5185954
nitrate	Atlantic	(27.25,27.5]	-0.8238574	-0.8550850	-0.7842586
nitrate	Atlantic	(27.5,27.75]	-0.9103909	-0.9119314	-0.9075889
nitrate	Atlantic	(27.75,27.85]	-0.9306803	-0.9343256	-0.9278694
nitrate	Atlantic	(27.85,27.95]	-0.9383208	-0.9428612	-0.9323921
nitrate	Atlantic	(27.95,28.05]	-0.8532617	-0.8680559	-0.8350952
nitrate	Atlantic	(28.05,28.1]	-0.9883028	-0.9925611	-0.9811627
nitrate	Atlantic	(28.1,28.15]	-0.9857033	-0.9900182	-0.9815252
nitrate	Atlantic	(28.15,28.2]	-0.9797003	-0.9916348	-0.9618839
nitrate	Atlantic	(28.2, Inf]	-0.9922659	-0.9965040	-0.9884308
nitrate	Indo-Pacific	(-Inf,26]	-0.1119773	-0.2516559	0.0455298
nitrate	Indo-Pacific	(26,26.5]	-0.4392859	-0.5702578	-0.2682999
nitrate	Indo-Pacific	(26.5,26.75]	-0.6178519	-0.6556848	-0.5776166
nitrate	Indo-Pacific	(26.75,27]	-0.6335465	-0.6652955	-0.6010583
nitrate	Indo-Pacific	(27,27.25]	-0.4189445	-0.5123137	-0.3030179
nitrate	Indo-Pacific	(27.25,27.5]	-0.2661955	-0.4366243	-0.0729388
nitrate	Indo-Pacific	(27.5,27.75]	0.2065411	-0.0435665	0.4625997
nitrate	Indo-Pacific	(27.75,27.85]	0.8046112	0.7418700	0.8663551
nitrate	Indo-Pacific	(27.85,27.95]	0.8802760	0.8501550	0.9007912
nitrate	Indo-Pacific	(27.95,28.05]	0.9404930	0.9373251	0.9463882
nitrate	Indo-Pacific	(28.05,28.1]	0.9429583	0.9381613	0.9460631
nitrate	Indo-Pacific	(28.1, Inf]	0.6801503	0.6778080	0.6814842
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	0.0695907	-0.0595721	0.2860809
nitrate	SO	(26.5,26.75]	-0.4533518	-0.5690527	-0.2890583
nitrate	SO	(26.75,27]	-0.8034944	-0.8522204	-0.7193683
nitrate	SO	(27,27.25]	-0.8652393	-0.8973335	-0.8215006
nitrate	SO	(27.25,27.5]	-0.7675592	-0.8778441	-0.6010206
nitrate	SO	(27.5,27.75]	-0.7639692	-0.9208098	-0.5207718
nitrate	SO	(27.75,27.85]	-0.6535301	-0.9144304	-0.2314042
nitrate	SO	(27.85,27.95]	-0.5573716	-0.8474596	-0.1099539
nitrate	SO	(27.95,28.05]	-0.5308931	-0.7615285	-0.2020887
nitrate	SO	(28.05,28.1]	-0.5776202	-0.6743966	-0.4159886
nitrate	SO	(28.1, Inf]	-0.1361067	-0.2888570	0.0325465
nitrate	SO	(28.1,28.15]	-0.7682472	-0.8266874	-0.7241782
nitrate	SO	(28.15,28.2]	-0.8580842	-0.8827292	-0.8232960
nitrate	SO	(28.2, Inf]	-0.7042513	-0.7613186	-0.6490666
phosphate	Atlantic	(-Inf,26]	0.4512365	0.4145770	0.4992721
phosphate	Atlantic	(26,26.5]	0.0424122	-0.0901634	0.1128610
phosphate	Atlantic	(26.5,26.75]	-0.2087585	-0.3112628	-0.1440576
phosphate	Atlantic	(26.75,27]	-0.2481687	-0.4316167	-0.0560099
phosphate	Atlantic	(27,27.25]	-0.6625696	-0.7439091	-0.5537701
phosphate	Atlantic	(27.25,27.5]	-0.8312363	-0.8605516	-0.7994003
phosphate	Atlantic	(27.5,27.75]	-0.9078845	-0.9115801	-0.9041450
phosphate	Atlantic	(27.75,27.85]	-0.9408873	-0.9443040	-0.9387091
phosphate	Atlantic	(27.85,27.95]	-0.9429264	-0.9460429	-0.9370392
phosphate	Atlantic	(27.95,28.05]	-0.8670418	-0.8810058	-0.8514270
phosphate	Atlantic	(28.05,28.1]	-0.9886836	-0.9925087	-0.9821432
phosphate	Atlantic	(28.1,28.15]	-0.9859199	-0.9905782	-0.9817906
phosphate	Atlantic	(28.15,28.2]	-0.9729057	-0.9837834	-0.9597543
phosphate	Atlantic	(28.2, Inf]	-0.9883534	-0.9926183	-0.9850089
phosphate	Indo-Pacific	(-Inf,26]	-0.1522740	-0.2883936	0.0162016
phosphate	Indo-Pacific	(26,26.5]	-0.5550590	-0.6839374	-0.3807764
phosphate	Indo-Pacific	(26.5,26.75]	-0.7899689	-0.8510512	-0.6995117
phosphate	Indo-Pacific	(26.75,27]	-0.8232865	-0.8737792	-0.7606628
phosphate	Indo-Pacific	(27,27.25]	-0.6577435	-0.7335068	-0.5547968
phosphate	Indo-Pacific	(27.25,27.5]	-0.4669740	-0.6131987	-0.2772430
phosphate	Indo-Pacific	(27.5,27.75]	0.1363121	-0.1095234	0.3974311
phosphate	Indo-Pacific	(27.75,27.85]	0.7737535	0.7050784	0.8449211
phosphate	Indo-Pacific	(27.85,27.95]	0.8608207	0.8184248	0.8842541
phosphate	Indo-Pacific	(27.95,28.05]	0.9388288	0.9355464	0.9441650
phosphate	Indo-Pacific	(28.05,28.1]	0.9376027	0.9298381	0.9430404
phosphate	Indo-Pacific	(28.1, Inf]	0.6467009	0.6438911	0.6483031
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	-0.1294848	-0.2416419	0.0894118
phosphate	SO	(26.5,26.75]	-0.5727548	-0.6654287	-0.4254398
phosphate	SO	(26.75,27]	-0.8195286	-0.8633667	-0.7434905
phosphate	SO	(27,27.25]	-0.8741088	-0.9043604	-0.8325605
phosphate	SO	(27.25,27.5]	-0.7814728	-0.8901060	-0.6188301
phosphate	SO	(27.5,27.75]	-0.7701491	-0.9251864	-0.5287901
phosphate	SO	(27.75,27.85]	-0.6633071	-0.9186665	-0.2486174
phosphate	SO	(27.85,27.95]	-0.5669791	-0.8502075	-0.1283203
phosphate	SO	(27.95,28.05]	-0.5379045	-0.7655704	-0.2111242
phosphate	SO	(28.05,28.1]	-0.5838250	-0.6872309	-0.4141998
phosphate	SO	(28.1, Inf]	-0.2446255	-0.4061462	-0.0603741
phosphate	SO	(28.1,28.15]	-0.7877626	-0.8468828	-0.7449980
phosphate	SO	(28.15,28.2]	-0.8773578	-0.8991033	-0.8465093
phosphate	SO	(28.2, Inf]	-0.8400339	-0.8623667	-0.8145532
phosphate_star	Atlantic	(-Inf,26]	-0.0020842	-0.0392555	0.0295483
phosphate_star	Atlantic	(26,26.5]	0.1328336	0.1054818	0.1814139
phosphate_star	Atlantic	(26.5,26.75]	-0.3398224	-0.3893311	-0.3044812
phosphate_star	Atlantic	(26.75,27]	-0.4518436	-0.5204775	-0.3834141
phosphate_star	Atlantic	(27,27.25]	-0.6439196	-0.6887338	-0.5677351
phosphate_star	Atlantic	(27.25,27.5]	-0.7012077	-0.7527007	-0.6505664
phosphate_star	Atlantic	(27.5,27.75]	-0.6845801	-0.7097785	-0.6620045
phosphate_star	Atlantic	(27.75,27.85]	-0.9066634	-0.9130460	-0.8994290
phosphate_star	Atlantic	(27.85,27.95]	-0.9104513	-0.9172995	-0.9035148
phosphate_star	Atlantic	(27.95,28.05]	-0.8448076	-0.8602808	-0.8284380
phosphate_star	Atlantic	(28.05,28.1]	-0.9817790	-0.9860896	-0.9759000
phosphate_star	Atlantic	(28.1,28.15]	-0.9849580	-0.9862041	-0.9843013
phosphate_star	Atlantic	(28.15,28.2]	-0.9793748	-0.9839835	-0.9749212
phosphate_star	Atlantic	(28.2, Inf]	-0.9882558	-0.9912495	-0.9858142
phosphate_star	Indo-Pacific	(-Inf,26]	0.0448891	-0.0630369	0.1653386
phosphate_star	Indo-Pacific	(26,26.5]	-0.5501753	-0.6164394	-0.4664486
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6620852	-0.6784643	-0.6456012
phosphate_star	Indo-Pacific	(26.75,27]	-0.5461649	-0.5664413	-0.5186659
phosphate_star	Indo-Pacific	(27,27.25]	-0.4276826	-0.4577395	-0.3938880
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5482388	-0.6129519	-0.4602465
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3054650	-0.4391192	-0.1604135
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2740380	0.2555349	0.2970476
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3717692	0.3515191	0.3846381
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5505763	0.5383526	0.5610015
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6881530	0.6807657	0.6964887
phosphate_star	Indo-Pacific	(28.1, Inf]	0.3711964	0.3465689	0.3900558
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.4321688	-0.4696094	-0.4034803
phosphate_star	SO	(26.5,26.75]	-0.7128043	-0.7436437	-0.6549551
phosphate_star	SO	(26.75,27]	-0.8199829	-0.8557630	-0.7743602
phosphate_star	SO	(27,27.25]	-0.8551660	-0.8879004	-0.8311224
phosphate_star	SO	(27.25,27.5]	-0.6875851	-0.8232474	-0.5771161
phosphate_star	SO	(27.5,27.75]	-0.3798483	-0.6832458	-0.1716290
phosphate_star	SO	(27.75,27.85]	0.3131923	-0.2135998	0.6742779
phosphate_star	SO	(27.85,27.95]	0.3748439	-0.2102096	0.7618050
phosphate_star	SO	(27.95,28.05]	0.2336942	-0.3084939	0.6545516
phosphate_star	SO	(28.05,28.1]	0.1735967	-0.3014817	0.5801858
phosphate_star	SO	(28.1, Inf]	-0.4035630	-0.6635497	-0.1704198
phosphate_star	SO	(28.1,28.15]	-0.5028389	-0.7287997	-0.3187971
phosphate_star	SO	(28.15,28.2]	-0.6701191	-0.7822576	-0.5265553
phosphate_star	SO	(28.2, Inf]	-0.8871423	-0.9619693	-0.7803914
sal	Atlantic	(-Inf,26]	0.5902493	0.5645860	0.6094200
sal	Atlantic	(26,26.5]	-0.1210693	-0.2350495	-0.0436117
sal	Atlantic	(26.5,26.75]	-0.0857573	-0.1609838	0.0345816
sal	Atlantic	(26.75,27]	-0.1153665	-0.2817633	0.0780898
sal	Atlantic	(27,27.25]	-0.0618729	-0.2271566	0.0664217
sal	Atlantic	(27.25,27.5]	-0.0471669	-0.1822641	0.1301281
sal	Atlantic	(27.5,27.75]	-0.5409444	-0.5851496	-0.4902394
sal	Atlantic	(27.75,27.85]	0.1643047	0.0956098	0.2559351
sal	Atlantic	(27.85,27.95]	0.2590656	0.1927919	0.3907524
sal	Atlantic	(27.95,28.05]	0.2296466	0.1885938	0.3108914
sal	Atlantic	(28.05,28.1]	0.7380926	0.6175117	0.8057923
sal	Atlantic	(28.1,28.15]	0.8321187	0.7753639	0.8904145
sal	Atlantic	(28.15,28.2]	0.7422634	0.5969689	0.8280298
sal	Atlantic	(28.2, Inf]	0.9391291	0.9103300	0.9621687
sal	Indo-Pacific	(-Inf,26]	-0.1284744	-0.1628305	-0.1011120
sal	Indo-Pacific	(26,26.5]	0.3023924	0.2527968	0.3404815
sal	Indo-Pacific	(26.5,26.75]	0.4057123	0.3811735	0.4235940
sal	Indo-Pacific	(26.75,27]	0.1202678	0.0715235	0.1707735
sal	Indo-Pacific	(27,27.25]	0.0649685	-0.0164262	0.1176971
sal	Indo-Pacific	(27.25,27.5]	0.1123121	-0.0087927	0.2220252
sal	Indo-Pacific	(27.5,27.75]	-0.0606569	-0.1443405	0.0370445
sal	Indo-Pacific	(27.75,27.85]	-0.0798461	-0.1609334	-0.0309809
sal	Indo-Pacific	(27.85,27.95]	-0.0057252	-0.1271678	0.1114496
sal	Indo-Pacific	(27.95,28.05]	-0.0831537	-0.1145179	-0.0440744
sal	Indo-Pacific	(28.05,28.1]	-0.0804431	-0.1523452	-0.0274329
sal	Indo-Pacific	(28.1, Inf]	0.0178699	-0.0130734	0.0384319
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.2839322	0.2392368	0.3320084
sal	SO	(26.5,26.75]	0.6089080	0.5664068	0.6459982
sal	SO	(26.75,27]	0.7109041	0.6439833	0.7592795
sal	SO	(27,27.25]	0.8185563	0.8015567	0.8427334
sal	SO	(27.25,27.5]	0.5685563	0.4868516	0.6748018
sal	SO	(27.5,27.75]	0.0684316	-0.1404774	0.3887946
sal	SO	(27.75,27.85]	-0.4231592	-0.7619300	0.0923979
sal	SO	(27.85,27.95]	-0.4502363	-0.8548895	0.1580854
sal	SO	(27.95,28.05]	-0.2352928	-0.7034057	0.3613275
sal	SO	(28.05,28.1]	-0.1398150	-0.5640608	0.3511809
sal	SO	(28.1, Inf]	-0.2554526	-0.5414936	0.0850115
sal	SO	(28.1,28.15]	0.7086371	0.5666842	0.8494288
sal	SO	(28.15,28.2]	0.7973337	0.6829468	0.8981101
sal	SO	(28.2, Inf]	-0.0727664	-0.2702728	0.1203818
silicate	Atlantic	(-Inf,26]	-0.5835481	-0.6327956	-0.5191196
silicate	Atlantic	(26,26.5]	-0.4161878	-0.5233862	-0.3064247
silicate	Atlantic	(26.5,26.75]	-0.3717281	-0.4877918	-0.2555914
silicate	Atlantic	(26.75,27]	-0.5193294	-0.6609096	-0.3676122
silicate	Atlantic	(27,27.25]	-0.8516005	-0.8735430	-0.8123758
silicate	Atlantic	(27.25,27.5]	-0.9146325	-0.9178805	-0.9086459
silicate	Atlantic	(27.5,27.75]	-0.9083908	-0.9148656	-0.8972641
silicate	Atlantic	(27.75,27.85]	-0.8987498	-0.9133845	-0.8873502
silicate	Atlantic	(27.85,27.95]	-0.8515276	-0.8579086	-0.8394659
silicate	Atlantic	(27.95,28.05]	-0.7639911	-0.7753128	-0.7556609
silicate	Atlantic	(28.05,28.1]	-0.9210557	-0.9236125	-0.9160928
silicate	Atlantic	(28.1,28.15]	-0.9270805	-0.9337955	-0.9209118
silicate	Atlantic	(28.15,28.2]	-0.9089839	-0.9223629	-0.8935909
silicate	Atlantic	(28.2, Inf]	-0.9571405	-0.9616835	-0.9538127
silicate	Indo-Pacific	(-Inf,26]	-0.1002920	-0.2148744	0.0382578
silicate	Indo-Pacific	(26,26.5]	-0.6179098	-0.7193565	-0.4718785
silicate	Indo-Pacific	(26.5,26.75]	-0.7437331	-0.7866495	-0.6826856
silicate	Indo-Pacific	(26.75,27]	-0.6544136	-0.7072240	-0.5920695
silicate	Indo-Pacific	(27,27.25]	-0.4246799	-0.5048883	-0.3174297
silicate	Indo-Pacific	(27.25,27.5]	-0.2696141	-0.4290679	-0.0742160
silicate	Indo-Pacific	(27.5,27.75]	0.2575723	0.0209627	0.5004966
silicate	Indo-Pacific	(27.75,27.85]	0.8481941	0.7925417	0.9047646
silicate	Indo-Pacific	(27.85,27.95]	0.8930761	0.8519750	0.9138746
silicate	Indo-Pacific	(27.95,28.05]	0.9652943	0.9610861	0.9712262
silicate	Indo-Pacific	(28.05,28.1]	0.9642367	0.9591694	0.9675184
silicate	Indo-Pacific	(28.1, Inf]	0.8973190	0.8968604	0.8977475
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	0.1309389	0.0259383	0.3012239
silicate	SO	(26.5,26.75]	0.0150593	-0.0911605	0.0909831
silicate	SO	(26.75,27]	-0.5491512	-0.6460071	-0.4492772
silicate	SO	(27,27.25]	-0.7610933	-0.8118808	-0.7023180
silicate	SO	(27.25,27.5]	-0.7531793	-0.8660758	-0.5954696
silicate	SO	(27.5,27.75]	-0.7932488	-0.9346952	-0.5659502
silicate	SO	(27.75,27.85]	-0.6965406	-0.9232889	-0.3138030
silicate	SO	(27.85,27.95]	-0.5949161	-0.8621365	-0.1652310
silicate	SO	(27.95,28.05]	-0.5152984	-0.7765502	-0.1385883
silicate	SO	(28.05,28.1]	-0.5498472	-0.7266140	-0.3016508
silicate	SO	(28.1, Inf]	-0.5110625	-0.6802794	-0.3014416
silicate	SO	(28.1,28.15]	-0.7229243	-0.7483798	-0.6868403
silicate	SO	(28.15,28.2]	-0.8259550	-0.8847329	-0.7654882
silicate	SO	(28.2, Inf]	-0.8355249	-0.8610372	-0.8034137
temp	Atlantic	(-Inf,26]	-0.0634146	-0.0852471	-0.0348104
temp	Atlantic	(26,26.5]	-0.3001815	-0.3815736	-0.2445614
temp	Atlantic	(26.5,26.75]	-0.0958405	-0.1638276	0.0011017
temp	Atlantic	(26.75,27]	-0.0696934	-0.1946830	0.0726813
temp	Atlantic	(27,27.25]	-0.0347244	-0.1854130	0.0767244
temp	Atlantic	(27.25,27.5]	-0.0956109	-0.2210957	0.0585284
temp	Atlantic	(27.5,27.75]	-0.5313792	-0.5695595	-0.4908616
temp	Atlantic	(27.75,27.85]	0.1931806	0.1227465	0.2715265
temp	Atlantic	(27.85,27.95]	0.2850847	0.1960122	0.4181694
temp	Atlantic	(27.95,28.05]	0.1332354	0.0801700	0.1999318
temp	Atlantic	(28.05,28.1]	0.5356158	0.4196912	0.6051203
temp	Atlantic	(28.1,28.15]	0.5959697	0.5275250	0.6396124
temp	Atlantic	(28.15,28.2]	0.7542026	0.5490042	0.8819454
temp	Atlantic	(28.2, Inf]	0.8336152	0.7898890	0.9008918
temp	Indo-Pacific	(-Inf,26]	-0.4465967	-0.5090662	-0.3708691
temp	Indo-Pacific	(26,26.5]	0.2593918	0.1902329	0.3187480
temp	Indo-Pacific	(26.5,26.75]	0.3784648	0.3586724	0.4054981
temp	Indo-Pacific	(26.75,27]	0.0608142	0.0045779	0.1188749
temp	Indo-Pacific	(27,27.25]	0.0614475	-0.0196075	0.1134214
temp	Indo-Pacific	(27.25,27.5]	0.2105791	0.0874271	0.3267472
temp	Indo-Pacific	(27.5,27.75]	0.1095195	-0.0090016	0.2270314
temp	Indo-Pacific	(27.75,27.85]	-0.0507183	-0.1166276	0.0112468
temp	Indo-Pacific	(27.85,27.95]	-0.0496518	-0.1404353	0.0565836
temp	Indo-Pacific	(27.95,28.05]	-0.1736833	-0.1961822	-0.1385851
temp	Indo-Pacific	(28.05,28.1]	-0.1317902	-0.2091690	-0.0865842
temp	Indo-Pacific	(28.1, Inf]	0.1260468	0.1131589	0.1463910
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.2801290	0.2620038	0.2992997
temp	SO	(26.5,26.75]	0.5695442	0.5242919	0.6115336
temp	SO	(26.75,27]	0.6767435	0.6054800	0.7310956
temp	SO	(27,27.25]	0.7886254	0.7720769	0.8164647
temp	SO	(27.25,27.5]	0.7135207	0.6308042	0.8245546
temp	SO	(27.5,27.75]	0.4553921	0.2925025	0.6988084
temp	SO	(27.75,27.85]	-0.3473042	-0.6295619	0.0887589
temp	SO	(27.85,27.95]	-0.4603556	-0.7860317	0.0578901
temp	SO	(27.95,28.05]	-0.3537907	-0.7374548	0.1674112
temp	SO	(28.05,28.1]	-0.3124852	-0.6861291	0.1262716
temp	SO	(28.1, Inf]	0.0975737	-0.1151749	0.3478154
temp	SO	(28.1,28.15]	0.5164248	0.3380154	0.6932434
temp	SO	(28.15,28.2]	0.6589014	0.5130109	0.7874979
temp	SO	(28.2, Inf]	0.5215365	0.3679681	0.6675349

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