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html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
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html	05385dc	Donghe-Zhu	2021-02-10	Build site.
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html	2305044	Donghe-Zhu	2021-02-07	Build site.
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
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html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
html	442010d	Donghe-Zhu	2021-01-29	Build site.
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
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html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
html	ceed31b	Donghe-Zhu	2021-01-27	Build site.
html	342402d	Donghe-Zhu	2021-01-27	Build site.
html	5bad5c2	Donghe-Zhu	2021-01-27	Build site.
html	61efb56	Donghe-Zhu	2021-01-25	Build site.
html	48f638e	Donghe-Zhu	2021-01-25	Build site.
html	c1cec47	Donghe-Zhu	2021-01-25	Build site.
html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
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html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
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html	d4cf1cb	Donghe-Zhu	2021-01-21	Build site.
html	1f3e5b6	jens-daniel-mueller	2021-01-20	Build site.
html	0e7bdf1	jens-daniel-mueller	2021-01-15	cleaning template repository
html	73cbef3	jens-daniel-mueller	2021-01-15	Build site.
html	4571843	jens-daniel-mueller	2021-01-14	revision and html deleted for template copying
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Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
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html	a499f10	Donghe-Zhu	2021-01-05	Build site.
Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
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))))
)
}

Version	Author	Date
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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")

Version	Author	Date
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8474259	0.8266115	0.8819213
aou + nitrate	Atlantic	(26,26.5]	0.9210619	0.9153348	0.9244668
aou + nitrate	Atlantic	(26.5,26.75]	0.9752898	0.9735736	0.9773553
aou + nitrate	Atlantic	(26.75,27]	0.9831746	0.9805709	0.9853460
aou + nitrate	Atlantic	(27,27.25]	0.9631083	0.9596579	0.9655219
aou + nitrate	Atlantic	(27.25,27.5]	0.8474823	0.8377983	0.8553777
aou + nitrate	Atlantic	(27.5,27.75]	0.6012790	0.5864528	0.6189707
aou + nitrate	Atlantic	(27.75,27.85]	0.4024520	0.3757277	0.4324710
aou + nitrate	Atlantic	(27.85,27.95]	0.5688714	0.4724808	0.6714969
aou + nitrate	Atlantic	(27.95,28.05]	0.3806328	0.3167072	0.4221763
aou + nitrate	Atlantic	(28.05,28.1]	0.6097363	0.5705959	0.6609940
aou + nitrate	Atlantic	(28.1,28.15]	0.8842871	0.8598995	0.9096156
aou + nitrate	Atlantic	(28.15,28.2]	0.9366901	0.9336298	0.9427450
aou + nitrate	Atlantic	(28.2, Inf]	0.9219512	0.9190820	0.9253084
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9334829	0.9319173	0.9360307
aou + nitrate	Indo-Pacific	(26,26.5]	0.8505107	0.8479640	0.8543417
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7792487	0.7751969	0.7850696
aou + nitrate	Indo-Pacific	(26.75,27]	0.8406238	0.8350112	0.8470841
aou + nitrate	Indo-Pacific	(27,27.25]	0.9244868	0.9196208	0.9290681
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9493712	0.9472474	0.9511318
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9721661	0.9717913	0.9724487
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9910870	0.9904836	0.9916523
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9898033	0.9888119	0.9910977
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9892191	0.9887682	0.9895711
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9894045	0.9887788	0.9900598
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908069	0.9903537	0.9910997
aou + phosphate	Atlantic	(-Inf,26]	0.9258443	0.9145388	0.9377956
aou + phosphate	Atlantic	(26,26.5]	0.8976175	0.8923019	0.9013403
aou + phosphate	Atlantic	(26.5,26.75]	0.9518435	0.9483806	0.9543411
aou + phosphate	Atlantic	(26.75,27]	0.9641771	0.9605810	0.9663368
aou + phosphate	Atlantic	(27,27.25]	0.9232785	0.9211369	0.9246839
aou + phosphate	Atlantic	(27.25,27.5]	0.7843905	0.7728788	0.7941271
aou + phosphate	Atlantic	(27.5,27.75]	0.5297423	0.5125694	0.5497214
aou + phosphate	Atlantic	(27.75,27.85]	0.3322424	0.3040592	0.3646367
aou + phosphate	Atlantic	(27.85,27.95]	0.5340406	0.4327796	0.6418639
aou + phosphate	Atlantic	(27.95,28.05]	0.3623724	0.2973788	0.4041694
aou + phosphate	Atlantic	(28.05,28.1]	0.6040366	0.5657198	0.6552057
aou + phosphate	Atlantic	(28.1,28.15]	0.8841024	0.8598042	0.9093648
aou + phosphate	Atlantic	(28.15,28.2]	0.9430936	0.9397447	0.9495258
aou + phosphate	Atlantic	(28.2, Inf]	0.9277082	0.9263062	0.9285853
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9676542	0.9670305	0.9685302
aou + phosphate	Indo-Pacific	(26,26.5]	0.9602284	0.9590835	0.9615415
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9733799	0.9727976	0.9738210
aou + phosphate	Indo-Pacific	(26.75,27]	0.9752983	0.9744456	0.9762754
aou + phosphate	Indo-Pacific	(27,27.25]	0.9853908	0.9850195	0.9855852
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862143	0.9855648	0.9866095
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9889516	0.9888988	0.9889876
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945413	0.9943528	0.9946399
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950546	0.9947906	0.9955307
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9909280	0.9906928	0.9913333
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9925272	0.9918445	0.9930599
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9915940	0.9907817	0.9923535
aou + phosphate_star	Atlantic	(-Inf,26]	0.2371350	0.1773169	0.2822293
aou + phosphate_star	Atlantic	(26,26.5]	0.4085143	0.3739364	0.4409341
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1664508	0.1297563	0.1990617
aou + phosphate_star	Atlantic	(26.75,27]	-0.1189632	-0.1324455	-0.1012611
aou + phosphate_star	Atlantic	(27,27.25]	-0.0424460	-0.0696779	-0.0166542
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1443710	-0.1652679	-0.1279037
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3215425	-0.3447855	-0.3014228
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3393933	-0.3762285	-0.2792479
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1694351	0.0246244	0.3284824
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0260735	-0.0994208	0.0195755
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3161462	0.2539865	0.3881855
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7478364	0.7025034	0.7936524
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8496650	0.8430001	0.8613788
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8208822	0.8172523	0.8257788
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5951193	0.5875310	0.6035955
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4244352	0.4209592	0.4296565
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4823027	0.4643600	0.4937869
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6158918	0.6031291	0.6338326
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6951626	0.6806725	0.7120876
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3451646	0.2833872	0.3989142
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2920460	-0.3470591	-0.2434783
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5746378	-0.5836868	-0.5573694
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3724079	-0.3938370	-0.3522534
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3795971	-0.4090024	-0.3512158
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2709860	-0.3522246	-0.2098694
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1501097	0.1358150	0.1602845
aou + silicate	Atlantic	(-Inf,26]	0.1068293	0.0364329	0.1856052
aou + silicate	Atlantic	(26,26.5]	0.2766743	0.2402128	0.3024468
aou + silicate	Atlantic	(26.5,26.75]	0.6181012	0.5931660	0.6422019
aou + silicate	Atlantic	(26.75,27]	0.7996681	0.7940141	0.8103001
aou + silicate	Atlantic	(27,27.25]	0.7389053	0.7358695	0.7442758
aou + silicate	Atlantic	(27.25,27.5]	0.5325255	0.5256000	0.5460647
aou + silicate	Atlantic	(27.5,27.75]	0.2176428	0.2062112	0.2247835
aou + silicate	Atlantic	(27.75,27.85]	-0.0501331	-0.0799877	-0.0257134
aou + silicate	Atlantic	(27.85,27.95]	0.2759439	0.1549713	0.4057111
aou + silicate	Atlantic	(27.95,28.05]	0.3094688	0.2465865	0.3502460
aou + silicate	Atlantic	(28.05,28.1]	0.6325761	0.6057525	0.6734265
aou + silicate	Atlantic	(28.1,28.15]	0.9137647	0.8972208	0.9313956
aou + silicate	Atlantic	(28.15,28.2]	0.9446387	0.9411159	0.9476109
aou + silicate	Atlantic	(28.2, Inf]	0.7337543	0.7167609	0.7521245
aou + silicate	Indo-Pacific	(-Inf,26]	0.8374201	0.8339467	0.8400774
aou + silicate	Indo-Pacific	(26,26.5]	0.7713602	0.7707356	0.7723737
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7842646	0.7805646	0.7892034
aou + silicate	Indo-Pacific	(26.75,27]	0.8744312	0.8709404	0.8777089
aou + silicate	Indo-Pacific	(27,27.25]	0.9403334	0.9392422	0.9410064
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9545676	0.9541536	0.9552728
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9651423	0.9643931	0.9656973
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9829640	0.9824985	0.9832373
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9821700	0.9816893	0.9826522
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875303	0.9868837	0.9879667
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9907655	0.9899160	0.9914571
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8242684	0.8238638	0.8246705
nitrate + phosphate	Atlantic	(-Inf,26]	0.6701397	0.6051445	0.7593596
nitrate + phosphate	Atlantic	(26,26.5]	0.8347051	0.8255172	0.8506486
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9678564	0.9660826	0.9690300
nitrate + phosphate	Atlantic	(26.75,27]	0.9800587	0.9789120	0.9812576
nitrate + phosphate	Atlantic	(27,27.25]	0.9865734	0.9862957	0.9869124
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917651	0.9915996	0.9918717
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944017	0.9941421	0.9945578
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9965328	0.9964607	0.9966409
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986564	0.9985214	0.9987923
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993835	0.9993144	0.9994364
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997909	0.9997700	0.9998055
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998183	0.9998134	0.9998271
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977082	0.9975518	0.9979142
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9896436	0.9888768	0.9900674
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9542396	0.9519468	0.9581887
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8646178	0.8605885	0.8688633
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7967319	0.7925700	0.8040735
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8618210	0.8538498	0.8691379
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9347447	0.9299662	0.9389290
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9542040	0.9522953	0.9560159
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9786504	0.9783937	0.9790223
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946484	0.9943388	0.9948427
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9966237	0.9961889	0.9971692
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987801	0.9986832	0.9988910
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981226	0.9979339	0.9982250
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9951005	0.9949502	0.9952016
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1172519	0.0377457	0.2126446
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4122297	0.3547445	0.4485492
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2812815	0.2403186	0.3159696
nitrate + phosphate_star	Atlantic	(26.75,27]	-0.0018082	-0.0128397	0.0090086
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2049232	0.1708927	0.2389114
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3922095	0.3817052	0.4036879
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5465926	0.5406656	0.5529017
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7211230	0.6965657	0.7422893
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9036552	0.8905678	0.9185495
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9121154	0.9100834	0.9136215
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9432716	0.9379931	0.9468017
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9702550	0.9663964	0.9737060
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9779412	0.9774495	0.9786873
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9695047	0.9687507	0.9702461
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7318322	0.7292862	0.7350555
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5555238	0.5501554	0.5623941
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5711046	0.5676668	0.5768383
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7017056	0.6842760	0.7185738
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7739045	0.7615904	0.7860120
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4558924	0.4015931	0.5023851
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1595806	-0.2176310	-0.1100190
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5008760	-0.5111174	-0.4855874
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2643489	-0.2827162	-0.2484827
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2468204	-0.2779089	-0.2140440
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1366259	-0.2153183	-0.0742665
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2584536	0.2420091	0.2677446
nitrate + silicate	Atlantic	(-Inf,26]	0.5979739	0.5784461	0.6118348
nitrate + silicate	Atlantic	(26,26.5]	0.5623554	0.5450756	0.5728961
nitrate + silicate	Atlantic	(26.5,26.75]	0.6995890	0.6782830	0.7214472
nitrate + silicate	Atlantic	(26.75,27]	0.8556502	0.8481245	0.8626148
nitrate + silicate	Atlantic	(27,27.25]	0.8706567	0.8648363	0.8737429
nitrate + silicate	Atlantic	(27.25,27.5]	0.8568247	0.8522417	0.8592122
nitrate + silicate	Atlantic	(27.5,27.75]	0.8599828	0.8576496	0.8638334
nitrate + silicate	Atlantic	(27.75,27.85]	0.8380300	0.8363898	0.8395080
nitrate + silicate	Atlantic	(27.85,27.95]	0.9141880	0.9076897	0.9224982
nitrate + silicate	Atlantic	(27.95,28.05]	0.9677684	0.9659295	0.9690809
nitrate + silicate	Atlantic	(28.05,28.1]	0.9834575	0.9819848	0.9846936
nitrate + silicate	Atlantic	(28.1,28.15]	0.9859700	0.9855886	0.9863662
nitrate + silicate	Atlantic	(28.15,28.2]	0.9144859	0.9122445	0.9177656
nitrate + silicate	Atlantic	(28.2, Inf]	0.7044217	0.6953985	0.7097828
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8584377	0.8557252	0.8609596
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7840225	0.7765084	0.7959583
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8224276	0.8199236	0.8272667
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8737151	0.8684167	0.8785463
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9380673	0.9343655	0.9408551
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9596946	0.9585155	0.9608022
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9790578	0.9784824	0.9796809
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9897304	0.9892626	0.9900311
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9892118	0.9889780	0.9894002
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9916267	0.9913685	0.9921187
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9900843	0.9897189	0.9903729
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8347132	0.8329393	0.8364787
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5303529	0.4804012	0.5860756
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7569850	0.7261739	0.7774512
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4559870	0.4323689	0.4826767
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1434305	0.1338887	0.1522105
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3397297	0.3105640	0.3686057
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4956302	0.4851988	0.5074641
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6235786	0.6197809	0.6289976
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7721570	0.7501105	0.7906373
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9214218	0.9105996	0.9339702
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9207570	0.9192104	0.9218733
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9460251	0.9403910	0.9497091
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9706860	0.9667319	0.9742451
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9759369	0.9755686	0.9766249
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9718490	0.9709979	0.9731182
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7634750	0.7592186	0.7678483
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6551199	0.6530221	0.6563537
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6633962	0.6505557	0.6707528
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7624326	0.7521981	0.7735868
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8023582	0.7921312	0.8149407
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4922983	0.4376881	0.5411191
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1497306	-0.2061579	-0.0999830
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4888020	-0.5000106	-0.4707374
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2820300	-0.3015833	-0.2657056
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2553269	-0.2846537	-0.2240643
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1551305	-0.2333891	-0.0936779
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2717623	0.2518650	0.2820173
sal + aou	Atlantic	(-Inf,26]	-0.3954769	-0.4422819	-0.3653613
sal + aou	Atlantic	(26,26.5]	-0.3807203	-0.4301488	-0.3492244
sal + aou	Atlantic	(26.5,26.75]	0.2653558	0.2446454	0.2907258
sal + aou	Atlantic	(26.75,27]	0.4582672	0.4461428	0.4724062
sal + aou	Atlantic	(27,27.25]	0.3706608	0.3382596	0.4092778
sal + aou	Atlantic	(27.25,27.5]	0.3873373	0.3825692	0.3961306
sal + aou	Atlantic	(27.5,27.75]	0.6730500	0.6618790	0.6895658
sal + aou	Atlantic	(27.75,27.85]	0.6571147	0.5960155	0.6912220
sal + aou	Atlantic	(27.85,27.95]	0.2095582	0.0755069	0.3425664
sal + aou	Atlantic	(27.95,28.05]	0.0390131	-0.0135670	0.0994952
sal + aou	Atlantic	(28.05,28.1]	-0.3146866	-0.3799902	-0.2588251
sal + aou	Atlantic	(28.1,28.15]	-0.7388478	-0.7823808	-0.6949033
sal + aou	Atlantic	(28.15,28.2]	-0.8025215	-0.8053872	-0.7968380
sal + aou	Atlantic	(28.2, Inf]	-0.6729560	-0.6821564	-0.6591232
sal + aou	Indo-Pacific	(-Inf,26]	-0.2353120	-0.2433284	-0.2312231
sal + aou	Indo-Pacific	(26,26.5]	-0.1595948	-0.1643986	-0.1558981
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1945342	-0.2005169	-0.1853888
sal + aou	Indo-Pacific	(26.75,27]	-0.4120482	-0.4197599	-0.3967160
sal + aou	Indo-Pacific	(27,27.25]	-0.5975921	-0.6145578	-0.5840517
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2706828	-0.3254158	-0.2134858
sal + aou	Indo-Pacific	(27.5,27.75]	0.4928113	0.4514882	0.5442114
sal + aou	Indo-Pacific	(27.75,27.85]	0.7629426	0.7575338	0.7696906
sal + aou	Indo-Pacific	(27.85,27.95]	0.7603339	0.7549339	0.7653473
sal + aou	Indo-Pacific	(27.95,28.05]	0.8410362	0.8298925	0.8515109
sal + aou	Indo-Pacific	(28.05,28.1]	0.8463618	0.8326430	0.8552142
sal + aou	Indo-Pacific	(28.1, Inf]	0.3271754	0.3122432	0.3374250
sal + nitrate	Atlantic	(-Inf,26]	-0.6765304	-0.6793256	-0.6728165
sal + nitrate	Atlantic	(26,26.5]	-0.4207481	-0.4708345	-0.3720611
sal + nitrate	Atlantic	(26.5,26.75]	0.1949683	0.1700347	0.2299204
sal + nitrate	Atlantic	(26.75,27]	0.3973787	0.3917430	0.4039986
sal + nitrate	Atlantic	(27,27.25]	0.2056771	0.1647547	0.2558439
sal + nitrate	Atlantic	(27.25,27.5]	-0.0535260	-0.0936838	-0.0187138
sal + nitrate	Atlantic	(27.5,27.75]	0.1972547	0.1724136	0.2414270
sal + nitrate	Atlantic	(27.75,27.85]	-0.3440971	-0.3937641	-0.3026832
sal + nitrate	Atlantic	(27.85,27.95]	-0.6172061	-0.6401372	-0.5978829
sal + nitrate	Atlantic	(27.95,28.05]	-0.8374299	-0.8498146	-0.8200986
sal + nitrate	Atlantic	(28.05,28.1]	-0.9181900	-0.9222346	-0.9137695
sal + nitrate	Atlantic	(28.1,28.15]	-0.9554425	-0.9603249	-0.9502052
sal + nitrate	Atlantic	(28.15,28.2]	-0.9486222	-0.9565128	-0.9415349
sal + nitrate	Atlantic	(28.2, Inf]	-0.8489218	-0.8549425	-0.8437597
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3648798	-0.3706188	-0.3608245
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3926525	-0.3956050	-0.3903830
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4322206	-0.4323161	-0.4321607
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5695457	-0.5835725	-0.5565613
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7264308	-0.7303526	-0.7220035
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.4007334	-0.4504684	-0.3471002
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3921171	0.3553330	0.4426376
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7148017	0.6989048	0.7309765
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7077992	0.6999537	0.7134861
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7782025	0.7634308	0.7906724
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7771855	0.7599518	0.7873751
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2802368	0.2655586	0.2898595
sal + phosphate	Atlantic	(-Inf,26]	-0.2711011	-0.3667554	-0.2214405
sal + phosphate	Atlantic	(26,26.5]	-0.6331028	-0.6622759	-0.5969985
sal + phosphate	Atlantic	(26.5,26.75]	0.0194401	0.0019464	0.0410819
sal + phosphate	Atlantic	(26.75,27]	0.2806174	0.2753541	0.2886877
sal + phosphate	Atlantic	(27,27.25]	0.0705837	0.0301074	0.1216067
sal + phosphate	Atlantic	(27.25,27.5]	-0.1668388	-0.2069645	-0.1296978
sal + phosphate	Atlantic	(27.5,27.75]	0.1005875	0.0766965	0.1431040
sal + phosphate	Atlantic	(27.75,27.85]	-0.4147975	-0.4615248	-0.3754110
sal + phosphate	Atlantic	(27.85,27.95]	-0.6494354	-0.6712580	-0.6276612
sal + phosphate	Atlantic	(27.95,28.05]	-0.8487555	-0.8601016	-0.8314941
sal + phosphate	Atlantic	(28.05,28.1]	-0.9225985	-0.9268673	-0.9178064
sal + phosphate	Atlantic	(28.1,28.15]	-0.9558097	-0.9609303	-0.9505062
sal + phosphate	Atlantic	(28.15,28.2]	-0.9321184	-0.9420472	-0.9236970
sal + phosphate	Atlantic	(28.2, Inf]	-0.7786672	-0.7867329	-0.7744749
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3512327	-0.3557979	-0.3462497
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3737399	-0.3826067	-0.3655666
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3653081	-0.3711260	-0.3613873
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5172817	-0.5332657	-0.5015476
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6797192	-0.6888600	-0.6720251
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3744249	-0.4288745	-0.3158867
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3935476	0.3524997	0.4452387
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7084105	0.6980176	0.7208984
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7163423	0.7083756	0.7231330
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7948180	0.7820365	0.8055978
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8039198	0.7889220	0.8133386
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3458131	0.3315183	0.3554573
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2235572	-0.3027183	-0.1166975
sal + phosphate_star	Atlantic	(26,26.5]	-0.8720535	-0.8888172	-0.8591647
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7909685	-0.8038187	-0.7825750
sal + phosphate_star	Atlantic	(26.75,27]	-0.7648005	-0.7863426	-0.7506594
sal + phosphate_star	Atlantic	(27,27.25]	-0.7999230	-0.8087039	-0.7826138
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8591047	-0.8862084	-0.8404105
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5889508	-0.6117562	-0.5565787
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8717474	-0.8822592	-0.8663494
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8700497	-0.8886215	-0.8464537
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9427720	-0.9492494	-0.9325850
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9798190	-0.9821852	-0.9785200
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9879465	-0.9902502	-0.9862187
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9693376	-0.9765239	-0.9609766
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8349605	-0.8404703	-0.8273290
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7048855	-0.7093415	-0.6993047
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8631407	-0.8723219	-0.8574359
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8735285	-0.8842543	-0.8641781
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8432259	-0.8579631	-0.8350468
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8975604	-0.9011455	-0.8907745
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8078580	-0.8230334	-0.7820636
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8077191	-0.8208941	-0.7958373
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8932647	-0.9126632	-0.8785222
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7452637	-0.7663089	-0.7335730
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6554982	-0.6684480	-0.6421964
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5951981	-0.6362054	-0.5656040
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0764608	0.0684994	0.0805049
sal + silicate	Atlantic	(-Inf,26]	-0.7674657	-0.7801676	-0.7519958
sal + silicate	Atlantic	(26,26.5]	0.1509198	0.1190386	0.1762024
sal + silicate	Atlantic	(26.5,26.75]	0.3051096	0.2764172	0.3515178
sal + silicate	Atlantic	(26.75,27]	0.1816434	0.1673646	0.2044764
sal + silicate	Atlantic	(27,27.25]	-0.1055682	-0.1451001	-0.0575001
sal + silicate	Atlantic	(27.25,27.5]	-0.3451031	-0.3823259	-0.3055694
sal + silicate	Atlantic	(27.5,27.75]	-0.1387137	-0.1724806	-0.0952923
sal + silicate	Atlantic	(27.75,27.85]	-0.6928926	-0.7305180	-0.6576508
sal + silicate	Atlantic	(27.85,27.95]	-0.8094938	-0.8309036	-0.7723139
sal + silicate	Atlantic	(27.95,28.05]	-0.8964864	-0.9040032	-0.8839898
sal + silicate	Atlantic	(28.05,28.1]	-0.9160871	-0.9230994	-0.9068784
sal + silicate	Atlantic	(28.1,28.15]	-0.9253126	-0.9341953	-0.9169442
sal + silicate	Atlantic	(28.15,28.2]	-0.7594279	-0.7780706	-0.7467099
sal + silicate	Atlantic	(28.2, Inf]	-0.2747197	-0.2873019	-0.2584516
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5422217	-0.5473789	-0.5335664
sal + silicate	Indo-Pacific	(26,26.5]	-0.5835333	-0.5920834	-0.5770982
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6113464	-0.6159919	-0.6072362
sal + silicate	Indo-Pacific	(26.75,27]	-0.6637158	-0.6753934	-0.6548737
sal + silicate	Indo-Pacific	(27,27.25]	-0.7559627	-0.7644430	-0.7471437
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4765762	-0.5254074	-0.4204689
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3266064	0.2828669	0.3816435
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6826289	0.6702908	0.6985109
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7072910	0.6952297	0.7168525
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8062848	0.7915347	0.8186569
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8219728	0.8081274	0.8299900
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6692920	0.6529064	0.6816427
sal + temp	Atlantic	(-Inf,26]	0.6602833	0.6235546	0.7174248
sal + temp	Atlantic	(26,26.5]	0.9579109	0.9543090	0.9605834
sal + temp	Atlantic	(26.5,26.75]	0.9678435	0.9655875	0.9715268
sal + temp	Atlantic	(26.75,27]	0.9706206	0.9689669	0.9717815
sal + temp	Atlantic	(27,27.25]	0.9634747	0.9631262	0.9638038
sal + temp	Atlantic	(27.25,27.5]	0.9719858	0.9707505	0.9739551
sal + temp	Atlantic	(27.5,27.75]	0.9677423	0.9668418	0.9690139
sal + temp	Atlantic	(27.75,27.85]	0.9867170	0.9864409	0.9870097
sal + temp	Atlantic	(27.85,27.95]	0.9797903	0.9744081	0.9828635
sal + temp	Atlantic	(27.95,28.05]	0.9757772	0.9752775	0.9760728
sal + temp	Atlantic	(28.05,28.1]	0.9863962	0.9851841	0.9873131
sal + temp	Atlantic	(28.1,28.15]	0.9833529	0.9828307	0.9836934
sal + temp	Atlantic	(28.15,28.2]	0.9788135	0.9778979	0.9798992
sal + temp	Atlantic	(28.2, Inf]	0.9370402	0.9344478	0.9420177
sal + temp	Indo-Pacific	(-Inf,26]	0.8198307	0.8171329	0.8250234
sal + temp	Indo-Pacific	(26,26.5]	0.9531478	0.9509653	0.9546749
sal + temp	Indo-Pacific	(26.5,26.75]	0.9803016	0.9798084	0.9807069
sal + temp	Indo-Pacific	(26.75,27]	0.9790478	0.9780406	0.9799011
sal + temp	Indo-Pacific	(27,27.25]	0.9747889	0.9739315	0.9758218
sal + temp	Indo-Pacific	(27.25,27.5]	0.9219382	0.9203319	0.9233164
sal + temp	Indo-Pacific	(27.5,27.75]	0.8731510	0.8711042	0.8764706
sal + temp	Indo-Pacific	(27.75,27.85]	0.9707677	0.9683933	0.9730119
sal + temp	Indo-Pacific	(27.85,27.95]	0.9400985	0.9381197	0.9438168
sal + temp	Indo-Pacific	(27.95,28.05]	0.9453119	0.9438740	0.9461336
sal + temp	Indo-Pacific	(28.05,28.1]	0.9754182	0.9740998	0.9771960
sal + temp	Indo-Pacific	(28.1, Inf]	0.4325837	0.4153504	0.4447132
silicate + phosphate	Atlantic	(-Inf,26]	-0.1331598	-0.2393000	0.0061056
silicate + phosphate	Atlantic	(26,26.5]	0.0405245	0.0025708	0.0793459
silicate + phosphate	Atlantic	(26.5,26.75]	0.5668735	0.5188630	0.6075956
silicate + phosphate	Atlantic	(26.75,27]	0.8451864	0.8401574	0.8491304
silicate + phosphate	Atlantic	(27,27.25]	0.9022276	0.8968750	0.9051932
silicate + phosphate	Atlantic	(27.25,27.5]	0.8977677	0.8939693	0.9000716
silicate + phosphate	Atlantic	(27.5,27.75]	0.8969701	0.8951219	0.8997922
silicate + phosphate	Atlantic	(27.75,27.85]	0.8777482	0.8761672	0.8789535
silicate + phosphate	Atlantic	(27.85,27.95]	0.9330287	0.9280969	0.9395083
silicate + phosphate	Atlantic	(27.95,28.05]	0.9741128	0.9729657	0.9750430
silicate + phosphate	Atlantic	(28.05,28.1]	0.9861005	0.9850040	0.9871105
silicate + phosphate	Atlantic	(28.1,28.15]	0.9882264	0.9879689	0.9886304
silicate + phosphate	Atlantic	(28.15,28.2]	0.9367754	0.9353037	0.9385953
silicate + phosphate	Atlantic	(28.2, Inf]	0.7960980	0.7870170	0.8023833
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8855244	0.8829120	0.8872096
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8771302	0.8751912	0.8782337
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8650553	0.8630519	0.8665845
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9204551	0.9199875	0.9212967
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9574916	0.9563250	0.9582892
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9718759	0.9714920	0.9725200
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9806452	0.9801821	0.9810813
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882002	0.9873941	0.9886340
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9874997	0.9870639	0.9878588
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9937146	0.9933629	0.9941821
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942889	0.9941395	0.9945007
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8637259	0.8618486	0.8653344
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1908434	-0.2861979	-0.0590447
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2840452	-0.3268307	-0.2350458
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0200292	-0.0711765	0.0723174
silicate + phosphate_star	Atlantic	(26.75,27]	0.1935542	0.1740191	0.2111644
silicate + phosphate_star	Atlantic	(27,27.25]	0.5353889	0.5097779	0.5643976
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6739896	0.6664176	0.6890461
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7965325	0.7874883	0.8078992
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9078413	0.8897729	0.9222550
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9642862	0.9607276	0.9706619
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9219369	0.9188988	0.9235924
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9209098	0.9104826	0.9273196
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9392648	0.9317428	0.9458218
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8664274	0.8652833	0.8684731
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7345969	0.7312008	0.7395438
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7743444	0.7715045	0.7778084
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7798311	0.7793423	0.7801902
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7990814	0.7978810	0.8009295
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8212798	0.8136946	0.8280509
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8167567	0.8004342	0.8329089
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5288112	0.4747768	0.5750061
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0996115	-0.1594677	-0.0455684
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4749127	-0.4853642	-0.4547556
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2679117	-0.2825547	-0.2550534
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2770962	-0.3063445	-0.2442445
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1904978	-0.2639396	-0.1313883
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4364958	0.4186530	0.4477623
temp + aou	Atlantic	(-Inf,26]	-0.6696405	-0.6950869	-0.6483187
temp + aou	Atlantic	(26,26.5]	-0.4284598	-0.4623101	-0.4060878
temp + aou	Atlantic	(26.5,26.75]	0.1483430	0.1211757	0.1732981
temp + aou	Atlantic	(26.75,27]	0.3933139	0.3770829	0.4133339
temp + aou	Atlantic	(27,27.25]	0.3428783	0.3117948	0.3813161
temp + aou	Atlantic	(27.25,27.5]	0.4169262	0.4072313	0.4281407
temp + aou	Atlantic	(27.5,27.75]	0.6668008	0.6580184	0.6798347
temp + aou	Atlantic	(27.75,27.85]	0.6709155	0.6161014	0.7039113
temp + aou	Atlantic	(27.85,27.95]	0.2195201	0.0832725	0.3425500
temp + aou	Atlantic	(27.95,28.05]	0.1596352	0.1137440	0.2236490
temp + aou	Atlantic	(28.05,28.1]	-0.2235966	-0.2903847	-0.1586470
temp + aou	Atlantic	(28.1,28.15]	-0.6562065	-0.7042175	-0.6079602
temp + aou	Atlantic	(28.15,28.2]	-0.7492876	-0.7566215	-0.7401476
temp + aou	Atlantic	(28.2, Inf]	-0.7384994	-0.7444418	-0.7305130
temp + aou	Indo-Pacific	(-Inf,26]	-0.3833513	-0.3848430	-0.3821153
temp + aou	Indo-Pacific	(26,26.5]	-0.2061334	-0.2117801	-0.2026547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1749544	-0.1819648	-0.1635772
temp + aou	Indo-Pacific	(26.75,27]	-0.3587919	-0.3690613	-0.3449435
temp + aou	Indo-Pacific	(27,27.25]	-0.5589736	-0.5735068	-0.5496268
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2426248	-0.2890212	-0.1935446
temp + aou	Indo-Pacific	(27.5,27.75]	0.4114496	0.3757387	0.4556570
temp + aou	Indo-Pacific	(27.75,27.85]	0.7608159	0.7536426	0.7653391
temp + aou	Indo-Pacific	(27.85,27.95]	0.7382113	0.7353699	0.7401641
temp + aou	Indo-Pacific	(27.95,28.05]	0.7949980	0.7841629	0.8049619
temp + aou	Indo-Pacific	(28.05,28.1]	0.8303116	0.8152479	0.8440020
temp + aou	Indo-Pacific	(28.1, Inf]	0.7910771	0.7831499	0.7985856
temp + nitrate	Atlantic	(-Inf,26]	-0.7444415	-0.7608466	-0.7263534
temp + nitrate	Atlantic	(26,26.5]	-0.4662551	-0.4997600	-0.4261796
temp + nitrate	Atlantic	(26.5,26.75]	0.0715727	0.0405613	0.1054011
temp + nitrate	Atlantic	(26.75,27]	0.3148274	0.3059980	0.3194354
temp + nitrate	Atlantic	(27,27.25]	0.1701391	0.1304754	0.2206497
temp + nitrate	Atlantic	(27.25,27.5]	-0.0132541	-0.0519303	0.0266845
temp + nitrate	Atlantic	(27.5,27.75]	0.1774668	0.1591617	0.2098155
temp + nitrate	Atlantic	(27.75,27.85]	-0.3383662	-0.3792765	-0.3009172
temp + nitrate	Atlantic	(27.85,27.95]	-0.6289222	-0.6453430	-0.6186476
temp + nitrate	Atlantic	(27.95,28.05]	-0.8006364	-0.8058019	-0.7928224
temp + nitrate	Atlantic	(28.05,28.1]	-0.8779958	-0.8833929	-0.8694284
temp + nitrate	Atlantic	(28.1,28.15]	-0.9131374	-0.9186179	-0.9066298
temp + nitrate	Atlantic	(28.15,28.2]	-0.9201777	-0.9287098	-0.9118843
temp + nitrate	Atlantic	(28.2, Inf]	-0.9114078	-0.9156774	-0.9036329
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5301138	-0.5329039	-0.5280681
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4433430	-0.4536665	-0.4370475
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4188246	-0.4205331	-0.4171521
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5309230	-0.5416395	-0.5186305
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7047716	-0.7054964	-0.7039449
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4050057	-0.4477202	-0.3584048
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2672779	0.2332427	0.3125510
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7084705	0.7006461	0.7200314
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6723113	0.6672327	0.6753793
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7185540	0.7037045	0.7303216
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7576540	0.7393567	0.7730656
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7226220	0.7110880	0.7331294
temp + phosphate	Atlantic	(-Inf,26]	-0.6824279	-0.7402595	-0.6500240
temp + phosphate	Atlantic	(26,26.5]	-0.6535360	-0.6718506	-0.6265006
temp + phosphate	Atlantic	(26.5,26.75]	-0.0877983	-0.1121633	-0.0651050
temp + phosphate	Atlantic	(26.75,27]	0.2070479	0.2025359	0.2111587
temp + phosphate	Atlantic	(27,27.25]	0.0502449	0.0112747	0.1018934
temp + phosphate	Atlantic	(27.25,27.5]	-0.1194140	-0.1586050	-0.0773303
temp + phosphate	Atlantic	(27.5,27.75]	0.0856271	0.0681601	0.1159319
temp + phosphate	Atlantic	(27.75,27.85]	-0.4079129	-0.4461342	-0.3724071
temp + phosphate	Atlantic	(27.85,27.95]	-0.6605542	-0.6749037	-0.6495033
temp + phosphate	Atlantic	(27.95,28.05]	-0.8134380	-0.8179640	-0.8052188
temp + phosphate	Atlantic	(28.05,28.1]	-0.8823714	-0.8879147	-0.8732245
temp + phosphate	Atlantic	(28.1,28.15]	-0.9141076	-0.9199967	-0.9073307
temp + phosphate	Atlantic	(28.15,28.2]	-0.9106423	-0.9206287	-0.9010349
temp + phosphate	Atlantic	(28.2, Inf]	-0.8768735	-0.8825113	-0.8705059
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5008156	-0.5036289	-0.4991120
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4261310	-0.4270579	-0.4245735
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3479265	-0.3559150	-0.3433906
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4722477	-0.4850697	-0.4577601
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6513410	-0.6574557	-0.6478024
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3685508	-0.4153112	-0.3186375
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2913902	0.2564941	0.3358035
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7037065	0.6946205	0.7133676
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6850403	0.6797983	0.6880871
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7310395	0.7182804	0.7409553
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7794325	0.7629991	0.7942390
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7459791	0.7328314	0.7584974
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6651991	-0.7185409	-0.6156451
temp + phosphate_star	Atlantic	(26,26.5]	-0.8611010	-0.8746947	-0.8502523
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8120870	-0.8241558	-0.8023554
temp + phosphate_star	Atlantic	(26.75,27]	-0.8044350	-0.8236008	-0.7929149
temp + phosphate_star	Atlantic	(27,27.25]	-0.7976423	-0.8081191	-0.7776704
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8344376	-0.8647195	-0.8113538
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6057426	-0.6222880	-0.5832081
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8752186	-0.8809815	-0.8712356
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8878063	-0.8989700	-0.8801710
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9543652	-0.9575417	-0.9487408
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9715288	-0.9721715	-0.9702767
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9746227	-0.9761289	-0.9730837
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9707051	-0.9781627	-0.9624463
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9364741	-0.9408549	-0.9280003
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8433051	-0.8470014	-0.8409046
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9102663	-0.9153055	-0.9065025
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8772242	-0.8857089	-0.8667229
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8436876	-0.8578982	-0.8346800
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9141077	-0.9202496	-0.9034212
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9114158	-0.9232546	-0.8933182
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9373382	-0.9455432	-0.9271037
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9214548	-0.9319618	-0.9096249
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8357333	-0.8502734	-0.8274725
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7758395	-0.7870069	-0.7653546
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6631213	-0.6950008	-0.6366274
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3079635	-0.3199995	-0.2987091
temp + silicate	Atlantic	(-Inf,26]	-0.3570339	-0.3747502	-0.3253640
temp + silicate	Atlantic	(26,26.5]	0.1078556	0.0927225	0.1289065
temp + silicate	Atlantic	(26.5,26.75]	0.2034874	0.1716013	0.2540483
temp + silicate	Atlantic	(26.75,27]	0.0701661	0.0552884	0.0890014
temp + silicate	Atlantic	(27,27.25]	-0.1545117	-0.1900194	-0.1077317
temp + silicate	Atlantic	(27.25,27.5]	-0.2987438	-0.3372043	-0.2526349
temp + silicate	Atlantic	(27.5,27.75]	-0.1655367	-0.1879477	-0.1342996
temp + silicate	Atlantic	(27.75,27.85]	-0.6793325	-0.7120459	-0.6449163
temp + silicate	Atlantic	(27.85,27.95]	-0.8144258	-0.8230221	-0.7978853
temp + silicate	Atlantic	(27.95,28.05]	-0.8581001	-0.8617042	-0.8519493
temp + silicate	Atlantic	(28.05,28.1]	-0.8702221	-0.8787251	-0.8542733
temp + silicate	Atlantic	(28.1,28.15]	-0.8779136	-0.8895125	-0.8660760
temp + silicate	Atlantic	(28.15,28.2]	-0.7496152	-0.7665094	-0.7365649
temp + silicate	Atlantic	(28.2, Inf]	-0.5094236	-0.5223504	-0.4971150
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6042772	-0.6106776	-0.5975781
temp + silicate	Indo-Pacific	(26,26.5]	-0.6100401	-0.6154928	-0.6044062
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6020640	-0.6045155	-0.5973631
temp + silicate	Indo-Pacific	(26.75,27]	-0.6359508	-0.6453981	-0.6277156
temp + silicate	Indo-Pacific	(27,27.25]	-0.7407890	-0.7469319	-0.7353890
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4669915	-0.5086695	-0.4188059
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2135708	0.1753338	0.2603923
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6760814	0.6647691	0.6871470
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6600683	0.6523715	0.6644594
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7441701	0.7286671	0.7558533
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7997938	0.7850456	0.8126133
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5852267	0.5655074	0.6016085

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")

Version	Author	Date
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3679991	0.3351745	0.4330489
aou	Atlantic	(26,26.5]	0.0051107	-0.1412442	0.1374984
aou	Atlantic	(26.5,26.75]	0.0234156	-0.1331670	0.2296781
aou	Atlantic	(26.75,27]	-0.0665701	-0.2754315	0.1912858
aou	Atlantic	(27,27.25]	-0.3802524	-0.5247852	-0.2135966
aou	Atlantic	(27.25,27.5]	-0.2887570	-0.4143189	-0.1343829
aou	Atlantic	(27.5,27.75]	-0.1495676	-0.2028965	-0.0944664
aou	Atlantic	(27.75,27.85]	-0.0524291	-0.1101520	-0.0164465
aou	Atlantic	(27.85,27.95]	-0.4870706	-0.5670778	-0.4229441
aou	Atlantic	(27.95,28.05]	-0.3269079	-0.4003382	-0.2700676
aou	Atlantic	(28.05,28.1]	-0.5835828	-0.5947999	-0.5675095
aou	Atlantic	(28.1,28.15]	-0.8726146	-0.8840608	-0.8635737
aou	Atlantic	(28.15,28.2]	-0.9229275	-0.9258385	-0.9196098
aou	Atlantic	(28.2, Inf]	-0.8681033	-0.8750164	-0.8599806
aou	Indo-Pacific	(-Inf,26]	-0.0978166	-0.2667576	0.0570850
aou	Indo-Pacific	(26,26.5]	-0.4652609	-0.6059392	-0.2909152
aou	Indo-Pacific	(26.5,26.75]	-0.7546285	-0.8170573	-0.6618035
aou	Indo-Pacific	(26.75,27]	-0.8247346	-0.8758096	-0.7557996
aou	Indo-Pacific	(27,27.25]	-0.8123479	-0.8765579	-0.7289012
aou	Indo-Pacific	(27.25,27.5]	-0.6906440	-0.8402427	-0.4664881
aou	Indo-Pacific	(27.5,27.75]	-0.2924338	-0.7523233	0.3778430
aou	Indo-Pacific	(27.75,27.85]	0.0175208	-0.5312244	0.7250736
aou	Indo-Pacific	(27.85,27.95]	0.2181681	-0.2180154	0.6972147
aou	Indo-Pacific	(27.95,28.05]	0.0868650	-0.2820676	0.5199428
aou	Indo-Pacific	(28.05,28.1]	0.1975905	-0.1504809	0.5720567
aou	Indo-Pacific	(28.1, Inf]	0.5205722	0.4298098	0.6089173
nitrate	Atlantic	(-Inf,26]	0.0131632	-0.0826447	0.0758708
nitrate	Atlantic	(26,26.5]	-0.2132628	-0.3562006	-0.0820989
nitrate	Atlantic	(26.5,26.75]	-0.1286243	-0.2855598	0.0790399
nitrate	Atlantic	(26.75,27]	-0.1882287	-0.3880168	0.0565846
nitrate	Atlantic	(27,27.25]	-0.5813219	-0.6972178	-0.4459918
nitrate	Atlantic	(27.25,27.5]	-0.7125638	-0.7843091	-0.6207884
nitrate	Atlantic	(27.5,27.75]	-0.8500812	-0.8788993	-0.8175643
nitrate	Atlantic	(27.75,27.85]	-0.9107730	-0.9235630	-0.8939087
nitrate	Atlantic	(27.85,27.95]	-0.9646766	-0.9713037	-0.9547726
nitrate	Atlantic	(27.95,28.05]	-0.9450643	-0.9458676	-0.9435856
nitrate	Atlantic	(28.05,28.1]	-0.9904403	-0.9921248	-0.9882605
nitrate	Atlantic	(28.1,28.15]	-0.9933394	-0.9955193	-0.9906995
nitrate	Atlantic	(28.15,28.2]	-0.9938530	-0.9974533	-0.9882781
nitrate	Atlantic	(28.2, Inf]	-0.9768628	-0.9805041	-0.9717311
nitrate	Indo-Pacific	(-Inf,26]	-0.1155050	-0.2812147	0.0403306
nitrate	Indo-Pacific	(26,26.5]	-0.4489397	-0.5757885	-0.3064422
nitrate	Indo-Pacific	(26.5,26.75]	-0.6674143	-0.7240043	-0.5825956
nitrate	Indo-Pacific	(26.75,27]	-0.7124562	-0.7535185	-0.6452636
nitrate	Indo-Pacific	(27,27.25]	-0.7636530	-0.8242524	-0.6870477
nitrate	Indo-Pacific	(27.25,27.5]	-0.6867575	-0.8250349	-0.4791727
nitrate	Indo-Pacific	(27.5,27.75]	-0.3175197	-0.7575488	0.3288192
nitrate	Indo-Pacific	(27.75,27.85]	0.0480285	-0.4952384	0.7361894
nitrate	Indo-Pacific	(27.85,27.95]	0.2736337	-0.1466125	0.7264487
nitrate	Indo-Pacific	(27.95,28.05]	0.1630988	-0.1896698	0.5756165
nitrate	Indo-Pacific	(28.05,28.1]	0.2779601	-0.0454654	0.6261546
nitrate	Indo-Pacific	(28.1, Inf]	0.5479901	0.4743582	0.6199845
phosphate	Atlantic	(-Inf,26]	0.4501599	0.3824275	0.5359697
phosphate	Atlantic	(26,26.5]	0.0318605	-0.0752283	0.1109366
phosphate	Atlantic	(26.5,26.75]	-0.1181319	-0.2548414	0.0706933
phosphate	Atlantic	(26.75,27]	-0.2204672	-0.4052229	-0.0001716
phosphate	Atlantic	(27,27.25]	-0.6261832	-0.7296479	-0.5024120
phosphate	Atlantic	(27.25,27.5]	-0.7590914	-0.8182240	-0.6833296
phosphate	Atlantic	(27.5,27.75]	-0.8744151	-0.8970446	-0.8484280
phosphate	Atlantic	(27.75,27.85]	-0.9335949	-0.9421696	-0.9212591
phosphate	Atlantic	(27.85,27.95]	-0.9664849	-0.9742537	-0.9547925
phosphate	Atlantic	(27.95,28.05]	-0.9474377	-0.9504567	-0.9445007
phosphate	Atlantic	(28.05,28.1]	-0.9903483	-0.9923709	-0.9878393
phosphate	Atlantic	(28.1,28.15]	-0.9932999	-0.9952981	-0.9907995
phosphate	Atlantic	(28.15,28.2]	-0.9926067	-0.9961005	-0.9890140
phosphate	Atlantic	(28.2, Inf]	-0.9834167	-0.9856956	-0.9821301
phosphate	Indo-Pacific	(-Inf,26]	-0.1450500	-0.3147629	0.0139320
phosphate	Indo-Pacific	(26,26.5]	-0.5934390	-0.7208681	-0.4326088
phosphate	Indo-Pacific	(26.5,26.75]	-0.8247833	-0.8763991	-0.7441858
phosphate	Indo-Pacific	(26.75,27]	-0.8593153	-0.8982052	-0.8044362
phosphate	Indo-Pacific	(27,27.25]	-0.8496747	-0.9005961	-0.7836822
phosphate	Indo-Pacific	(27.25,27.5]	-0.7441241	-0.8713186	-0.5519642
phosphate	Indo-Pacific	(27.5,27.75]	-0.3225270	-0.7573669	0.3159473
phosphate	Indo-Pacific	(27.75,27.85]	0.0569710	-0.4797758	0.7388529
phosphate	Indo-Pacific	(27.85,27.95]	0.2581131	-0.1632050	0.7157492
phosphate	Indo-Pacific	(27.95,28.05]	0.1526833	-0.1982314	0.5633747
phosphate	Indo-Pacific	(28.05,28.1]	0.2502186	-0.0741106	0.5991699
phosphate	Indo-Pacific	(28.1, Inf]	0.5017463	0.4214208	0.5801292
phosphate_star	Atlantic	(-Inf,26]	0.1123023	0.0678117	0.1954765
phosphate_star	Atlantic	(26,26.5]	0.1213571	0.0987828	0.1648609
phosphate_star	Atlantic	(26.5,26.75]	-0.3385576	-0.3646340	-0.3087793
phosphate_star	Atlantic	(26.75,27]	-0.4684552	-0.5827713	-0.4017052
phosphate_star	Atlantic	(27,27.25]	-0.6189384	-0.6910563	-0.5344917
phosphate_star	Atlantic	(27.25,27.5]	-0.7568310	-0.8345740	-0.6846816
phosphate_star	Atlantic	(27.5,27.75]	-0.7904746	-0.8326402	-0.7458745
phosphate_star	Atlantic	(27.75,27.85]	-0.8811451	-0.9280074	-0.8322532
phosphate_star	Atlantic	(27.85,27.95]	-0.8936500	-0.9277667	-0.8525161
phosphate_star	Atlantic	(27.95,28.05]	-0.8682267	-0.8972547	-0.8427043
phosphate_star	Atlantic	(28.05,28.1]	-0.9378574	-0.9613994	-0.9109491
phosphate_star	Atlantic	(28.1,28.15]	-0.9633080	-0.9780363	-0.9471000
phosphate_star	Atlantic	(28.15,28.2]	-0.9751770	-0.9843547	-0.9633625
phosphate_star	Atlantic	(28.2, Inf]	-0.9790387	-0.9855388	-0.9706085
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0105462	-0.1379037	0.1141210
phosphate_star	Indo-Pacific	(26,26.5]	-0.5802494	-0.6251420	-0.5257640
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6295255	-0.6570687	-0.6056487
phosphate_star	Indo-Pacific	(26.75,27]	-0.5797270	-0.6002986	-0.5483395
phosphate_star	Indo-Pacific	(27,27.25]	-0.6910612	-0.7085100	-0.6767214
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5454959	-0.5764644	-0.5278288
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1372601	-0.4685563	0.0929067
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3502875	-0.2202116	0.7289699
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3649343	0.0420454	0.6208757
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5307159	0.2462848	0.7497061
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4953699	0.2427917	0.7104201
phosphate_star	Indo-Pacific	(28.1, Inf]	0.0946721	0.0256137	0.1645365
sal	Atlantic	(-Inf,26]	0.6377340	0.5967221	0.6910233
sal	Atlantic	(26,26.5]	-0.1074449	-0.1414565	-0.0607646
sal	Atlantic	(26.5,26.75]	-0.0169938	-0.1140026	0.0867339
sal	Atlantic	(26.75,27]	-0.0259904	-0.1469100	0.1795001
sal	Atlantic	(27,27.25]	0.0648645	-0.0662481	0.1746954
sal	Atlantic	(27.25,27.5]	0.3464126	0.2192492	0.5048701
sal	Atlantic	(27.5,27.75]	-0.0137228	-0.1223398	0.0826720
sal	Atlantic	(27.75,27.85]	0.5497593	0.4568336	0.6522596
sal	Atlantic	(27.85,27.95]	0.5870729	0.5383895	0.6482527
sal	Atlantic	(27.95,28.05]	0.7335958	0.6777015	0.7818662
sal	Atlantic	(28.05,28.1]	0.8939942	0.8645180	0.9235227
sal	Atlantic	(28.1,28.15]	0.9355488	0.9137569	0.9566391
sal	Atlantic	(28.15,28.2]	0.9338130	0.8989943	0.9515356
sal	Atlantic	(28.2, Inf]	0.7707403	0.7409207	0.7909388
sal	Indo-Pacific	(-Inf,26]	-0.0595188	-0.1248989	0.0026345
sal	Indo-Pacific	(26,26.5]	0.3181647	0.2960003	0.3515956
sal	Indo-Pacific	(26.5,26.75]	0.3016572	0.2692456	0.3297863
sal	Indo-Pacific	(26.75,27]	0.2227537	0.1651768	0.2726404
sal	Indo-Pacific	(27,27.25]	0.4541858	0.4156733	0.4935796
sal	Indo-Pacific	(27.25,27.5]	0.2214734	0.1656598	0.2742818
sal	Indo-Pacific	(27.5,27.75]	-0.1586538	-0.4145325	0.2474715
sal	Indo-Pacific	(27.75,27.85]	-0.2932358	-0.7598921	0.3282293
sal	Indo-Pacific	(27.85,27.95]	-0.1212303	-0.5096531	0.3205268
sal	Indo-Pacific	(27.95,28.05]	-0.2868430	-0.6105867	0.1194491
sal	Indo-Pacific	(28.05,28.1]	-0.2064573	-0.5323207	0.1538975
sal	Indo-Pacific	(28.1, Inf]	0.0139920	-0.1322080	0.1602717
silicate	Atlantic	(-Inf,26]	-0.6301392	-0.7160039	-0.5811847
silicate	Atlantic	(26,26.5]	-0.4968431	-0.5595418	-0.4256814
silicate	Atlantic	(26.5,26.75]	-0.3552679	-0.4745459	-0.1975607
silicate	Atlantic	(26.75,27]	-0.4524963	-0.6296497	-0.2474469
silicate	Atlantic	(27,27.25]	-0.7868486	-0.8583370	-0.6956457
silicate	Atlantic	(27.25,27.5]	-0.8708379	-0.9014685	-0.8258481
silicate	Atlantic	(27.5,27.75]	-0.9083407	-0.9103216	-0.9063229
silicate	Atlantic	(27.75,27.85]	-0.9245618	-0.9378517	-0.9105864
silicate	Atlantic	(27.85,27.95]	-0.8996953	-0.9230357	-0.8697389
silicate	Atlantic	(27.95,28.05]	-0.9012482	-0.9124562	-0.8928654
silicate	Atlantic	(28.05,28.1]	-0.9690752	-0.9701071	-0.9676185
silicate	Atlantic	(28.1,28.15]	-0.9790697	-0.9808463	-0.9760272
silicate	Atlantic	(28.15,28.2]	-0.9157053	-0.9242432	-0.9015338
silicate	Atlantic	(28.2, Inf]	-0.7764889	-0.7987651	-0.7430729
silicate	Indo-Pacific	(-Inf,26]	-0.1282738	-0.2842494	0.0088653
silicate	Indo-Pacific	(26,26.5]	-0.6685018	-0.7645086	-0.5482540
silicate	Indo-Pacific	(26.5,26.75]	-0.7621669	-0.8056145	-0.6881811
silicate	Indo-Pacific	(26.75,27]	-0.7120400	-0.7549181	-0.6508651
silicate	Indo-Pacific	(27,27.25]	-0.7175686	-0.7816079	-0.6347523
silicate	Indo-Pacific	(27.25,27.5]	-0.6422361	-0.7821522	-0.4374457
silicate	Indo-Pacific	(27.5,27.75]	-0.2667025	-0.7043539	0.3705983
silicate	Indo-Pacific	(27.75,27.85]	0.0831269	-0.4554289	0.7614079
silicate	Indo-Pacific	(27.85,27.95]	0.2682015	-0.1565505	0.7271294
silicate	Indo-Pacific	(27.95,28.05]	0.1454949	-0.2149704	0.5686265
silicate	Indo-Pacific	(28.05,28.1]	0.2438625	-0.0871070	0.6007492
silicate	Indo-Pacific	(28.1, Inf]	0.4816364	0.3746531	0.5890654
temp	Atlantic	(-Inf,26]	-0.0433432	-0.1229914	0.0914707
temp	Atlantic	(26,26.5]	-0.2471413	-0.2855452	-0.1952690
temp	Atlantic	(26.5,26.75]	-0.0354672	-0.1136069	0.0407507
temp	Atlantic	(26.75,27]	0.0481947	-0.0427506	0.2264649
temp	Atlantic	(27,27.25]	0.0943267	-0.0206454	0.1823371
temp	Atlantic	(27.25,27.5]	0.3021010	0.1705006	0.4593385
temp	Atlantic	(27.5,27.75]	0.0106859	-0.0806492	0.0927190
temp	Atlantic	(27.75,27.85]	0.5528226	0.4660372	0.6466036
temp	Atlantic	(27.85,27.95]	0.6049577	0.5530865	0.6575334
temp	Atlantic	(27.95,28.05]	0.7130230	0.6635956	0.7606153
temp	Atlantic	(28.05,28.1]	0.8521321	0.8127263	0.8857391
temp	Atlantic	(28.1,28.15]	0.8900334	0.8628774	0.9156733
temp	Atlantic	(28.15,28.2]	0.9057868	0.8676436	0.9253878
temp	Atlantic	(28.2, Inf]	0.8757007	0.8617846	0.8845375
temp	Indo-Pacific	(-Inf,26]	-0.3734542	-0.4668542	-0.2783963
temp	Indo-Pacific	(26,26.5]	0.2779846	0.2394479	0.3215519
temp	Indo-Pacific	(26.5,26.75]	0.2621748	0.2202511	0.2977101
temp	Indo-Pacific	(26.75,27]	0.1564751	0.0965151	0.2051075
temp	Indo-Pacific	(27,27.25]	0.4231857	0.3912536	0.4554289
temp	Indo-Pacific	(27.25,27.5]	0.3250003	0.3139964	0.3442270
temp	Indo-Pacific	(27.5,27.75]	0.0576830	-0.1957034	0.4220091
temp	Indo-Pacific	(27.75,27.85]	-0.2971997	-0.7538397	0.3287545
temp	Indo-Pacific	(27.85,27.95]	-0.1766252	-0.5484012	0.2584974
temp	Indo-Pacific	(27.95,28.05]	-0.3635322	-0.6835926	0.0401772
temp	Indo-Pacific	(28.05,28.1]	-0.2256698	-0.5548727	0.1516189
temp	Indo-Pacific	(28.1, Inf]	0.2043545	0.0828346	0.3241880

rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      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

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

24 February, 2021