eMLR - assumption testing

workflowr

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Last updated: 2021-08-06

Checks: 7 0

Knit directory: emlr_obs_v_XXX/

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These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_assumption_testing.Rmd) and HTML (docs/eMLR_assumption_testing.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
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html	d054c39	jens-daniel-mueller	2021-06-24	Build site.
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html	7e1f407	jens-daniel-mueller	2021-06-10	Build site.
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html	594ed9a	jens-daniel-mueller	2021-06-04	Build site.
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html	315710b	jens-daniel-mueller	2021-06-03	include anomalous changes
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html	50290e8	jens-daniel-mueller	2021-04-16	overlapping eras
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html	81b7c6d	jens-daniel-mueller	2021-04-16	Build site.
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html	3c2ec33	jens-daniel-mueller	2021-03-05	Build site.
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html	33ba23c	jens-daniel-mueller	2021-01-07	Build site.
html	318609d	jens-daniel-mueller	2020-12-23	adapted more variable predictor selection
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Rmd	3d33a37	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
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Rmd	83203db	jens-daniel-mueller	2020-12-03	calculate cant with variable inventory depth
html	090e4d5	jens-daniel-mueller	2020-12-02	Build site.
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html	196be51	jens-daniel-mueller	2020-11-30	Build site.
Rmd	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit
html	bc61ce3	Jens Müller	2020-11-30	Initial commit

---

1 Version ID

The results displayed on this site correspond to the Version_ID: v_XXX

2 Required data

Required are:

• cleaned and prepared GLODAPv2.2020 file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

3 Predictor correlation

The correlation between:

• pairs of seven potential predictor variables and
• C* and seven potential predictor variables

were investigated based on:

• property-property plots and
• calculated correlation coeffcients.

3.1 Correlation plots

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

plot_fun <- function(df){
  ggpairs(
    data = df,
    columns = c(params_local$MLR_target,
                params_local$MLR_predictors),
    upper = "blank",
    ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)
  ) +
    scale_fill_viridis_d(direction = -1) +
    scale_color_viridis_d(direction = -1) +
    labs(title = paste(
      "Basin:",
      unique(df$basin),
      "| era: all | random subsample:",
      nrow(df),
      "| data source:",
      unique(df$data_source)
    ))
}

GLODAP %>%
  slice_sample(n = 5e3) %>% 
  group_split(basin, data_source) %>%
  # head(1) %>% 
  map(plot_fun)

[[1]]

Past versions of predictor_correlation_per_basin-1.png

Version	Author	Date
340d731	jens-daniel-mueller	2021-08-06
71546e4	jens-daniel-mueller	2021-08-06
29444a1	jens-daniel-mueller	2021-08-05
42e80c0	jens-daniel-mueller	2021-08-04
48f6eed	jens-daniel-mueller	2021-08-04
81a46a4	jens-daniel-mueller	2021-08-03
b88c61b	jens-daniel-mueller	2021-08-03
a53656d	jens-daniel-mueller	2021-08-03
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
be90356	jens-daniel-mueller	2021-06-02
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

[[2]]

Past versions of predictor_correlation_per_basin-2.png

Version	Author	Date
340d731	jens-daniel-mueller	2021-08-06
71546e4	jens-daniel-mueller	2021-08-06
29444a1	jens-daniel-mueller	2021-08-05
42e80c0	jens-daniel-mueller	2021-08-04
48f6eed	jens-daniel-mueller	2021-08-04
81a46a4	jens-daniel-mueller	2021-08-03
b88c61b	jens-daniel-mueller	2021-08-03
a53656d	jens-daniel-mueller	2021-08-03
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
9f31fe3	jens-daniel-mueller	2021-04-13
ea17c90	jens-daniel-mueller	2021-04-09
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
ab5c8cf	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

GLODAP <- GLODAP %>%
  filter(data_source == "obs") %>%
  select(-data_source)

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

/nfs/kryo/work/jenmueller/emlr_cant/observations/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {

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

    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]

      GLODAP_highlight <- GLODAP_basin_era %>%
        mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                         "in", "out")) %>%
        arrange(desc(gamma_highlight))
      
      p <- GLODAP_highlight %>%
        ggpairs(
          columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          ggplot2::aes(
            col = gamma_highlight,
            fill = gamma_highlight,
            alpha = 0.01
          )
        ) +
        scale_fill_manual(values = c("red", "grey")) +
        scale_color_manual(values = c("red", "grey")) +
        labs(
          title = paste(
            i_era,
            "|",
            i_basin,
            "| Gamma slab",
            i_gamma_slab,
            "| # obs total",
            nrow(GLODAP_basin_era),
            "| # obs slab",
            nrow(GLODAP_highlight %>%
                   filter(gamma_highlight == "in"))
          )
        )
      
      png(
        filename = paste(
          path_version_figures,
          "Observations_correlation/",
          paste(
            "Predictor_correlation",
            i_era,
            i_basin,
            i_gamma_slab,
            ".png",
            sep = "_"
          ),
          sep = ""),
        width = 12,
        height = 12,
        units = "in",
        res = 300
      )
      
      print(p)
      
      dev.off()
      
    }
  }
}

}

3.2 Correlation assesment

3.2.1 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)

3.2.2 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
340d731	jens-daniel-mueller	2021-08-06
71546e4	jens-daniel-mueller	2021-08-06
29444a1	jens-daniel-mueller	2021-08-05
42e80c0	jens-daniel-mueller	2021-08-04
48f6eed	jens-daniel-mueller	2021-08-04
81a46a4	jens-daniel-mueller	2021-08-03
b88c61b	jens-daniel-mueller	2021-08-03
a53656d	jens-daniel-mueller	2021-08-03
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
d37a85d	jens-daniel-mueller	2021-05-31
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	global	(-Inf,26]	0.9206218	0.9059180	0.9353256
aou + nitrate	global	(26,26.5]	0.9131695	0.9074893	0.9188496
aou + nitrate	global	(26.5,26.75]	0.9099742	0.9013107	0.9186377
aou + nitrate	global	(26.75,27]	0.9204587	0.9171265	0.9237910
aou + nitrate	global	(27,27.25]	0.9011416	0.8977144	0.9045689
aou + nitrate	global	(27.25,27.5]	0.8816885	0.8772374	0.8861397
aou + nitrate	global	(27.5,27.75]	0.8980195	0.8932924	0.9027465
aou + nitrate	global	(27.75,27.85]	0.9444877	0.9421202	0.9468553
aou + nitrate	global	(27.85,27.95]	0.9617617	0.9613994	0.9621240
aou + nitrate	global	(27.95,28.05]	0.9660994	0.9653714	0.9668274
aou + nitrate	global	(28.05,28.1]	0.9790147	0.9784812	0.9795481
aou + nitrate	global	(28.1,28.2]	0.9691529	0.9685645	0.9697414
aou + nitrate	global	(28.2,28.3]	0.9639990	0.9593574	0.9686407
aou + nitrate	global	(28.3,28.4]	0.4591401	0.3443845	0.5738957
aou + nitrate	global	(28.4, Inf]	0.8113575	0.7227712	0.8999437
aou + oxygen	global	(-Inf,26]	-0.9223999	-0.9341425	-0.9106573
aou + oxygen	global	(26,26.5]	-0.9651862	-0.9675868	-0.9627857
aou + oxygen	global	(26.5,26.75]	-0.9672051	-0.9686579	-0.9657524
aou + oxygen	global	(26.75,27]	-0.9732246	-0.9749900	-0.9714591
aou + oxygen	global	(27,27.25]	-0.9820003	-0.9822708	-0.9817298
aou + oxygen	global	(27.25,27.5]	-0.9860279	-0.9861680	-0.9858877
aou + oxygen	global	(27.5,27.75]	-0.9871970	-0.9873416	-0.9870525
aou + oxygen	global	(27.75,27.85]	-0.9919253	-0.9919852	-0.9918653
aou + oxygen	global	(27.85,27.95]	-0.9938372	-0.9939293	-0.9937451
aou + oxygen	global	(27.95,28.05]	-0.9943251	-0.9943554	-0.9942948
aou + oxygen	global	(28.05,28.1]	-0.9972680	-0.9974314	-0.9971045
aou + oxygen	global	(28.1,28.2]	-0.9947781	-0.9949719	-0.9945844
aou + oxygen	global	(28.2,28.3]	-0.9908576	-0.9912752	-0.9904399
aou + oxygen	global	(28.3,28.4]	-0.9975568	-0.9981358	-0.9969778
aou + oxygen	global	(28.4, Inf]	-0.9984291	-0.9986561	-0.9982020
aou + phosphate	global	(-Inf,26]	0.9257369	0.9144873	0.9369865
aou + phosphate	global	(26,26.5]	0.9359160	0.9335274	0.9383046
aou + phosphate	global	(26.5,26.75]	0.9196864	0.9103314	0.9290414
aou + phosphate	global	(26.75,27]	0.9065849	0.9037852	0.9093845
aou + phosphate	global	(27,27.25]	0.8899360	0.8886542	0.8912178
aou + phosphate	global	(27.25,27.5]	0.8875454	0.8826379	0.8924529
aou + phosphate	global	(27.5,27.75]	0.9104220	0.9065065	0.9143375
aou + phosphate	global	(27.75,27.85]	0.9502430	0.9489807	0.9515052
aou + phosphate	global	(27.85,27.95]	0.9652039	0.9650678	0.9653400
aou + phosphate	global	(27.95,28.05]	0.9694377	0.9693613	0.9695142
aou + phosphate	global	(28.05,28.1]	0.9807795	0.9803781	0.9811809
aou + phosphate	global	(28.1,28.2]	0.9711361	0.9707120	0.9715602
aou + phosphate	global	(28.2,28.3]	0.9604700	0.9583697	0.9625703
aou + phosphate	global	(28.3,28.4]	0.3665716	0.1468346	0.5863086
aou + phosphate	global	(28.4, Inf]	0.7449721	0.6245717	0.8653725
aou + silicate	global	(-Inf,26]	0.7296441	0.6955453	0.7637430
aou + silicate	global	(26,26.5]	0.7338985	0.7284226	0.7393744
aou + silicate	global	(26.5,26.75]	0.6817050	0.6673063	0.6961037
aou + silicate	global	(26.75,27]	0.7484949	0.7373504	0.7596393
aou + silicate	global	(27,27.25]	0.8483060	0.8283500	0.8682620
aou + silicate	global	(27.25,27.5]	0.8954951	0.8812416	0.9097486
aou + silicate	global	(27.5,27.75]	0.9326177	0.9240994	0.9411361
aou + silicate	global	(27.75,27.85]	0.9734024	0.9710566	0.9757482
aou + silicate	global	(27.85,27.95]	0.9772852	0.9765527	0.9780176
aou + silicate	global	(27.95,28.05]	0.9824487	0.9822936	0.9826037
aou + silicate	global	(28.05,28.1]	0.9918729	0.9912992	0.9924466
aou + silicate	global	(28.1,28.2]	0.9794475	0.9782573	0.9806376
aou + silicate	global	(28.2,28.3]	0.9558442	0.9521665	0.9595219
aou + silicate	global	(28.3,28.4]	0.6432392	0.4930045	0.7934739
aou + silicate	global	(28.4, Inf]	0.9079494	0.8645779	0.9513210
nitrate + phosphate	global	(-Inf,26]	0.9680398	0.9664703	0.9696092
nitrate + phosphate	global	(26,26.5]	0.9708003	0.9669106	0.9746900
nitrate + phosphate	global	(26.5,26.75]	0.9728679	0.9712778	0.9744580
nitrate + phosphate	global	(26.75,27]	0.9833816	0.9813009	0.9854622
nitrate + phosphate	global	(27,27.25]	0.9862488	0.9833277	0.9891698
nitrate + phosphate	global	(27.25,27.5]	0.9908511	0.9890838	0.9926184
nitrate + phosphate	global	(27.5,27.75]	0.9950854	0.9950348	0.9951361
nitrate + phosphate	global	(27.75,27.85]	0.9977906	0.9976681	0.9979132
nitrate + phosphate	global	(27.85,27.95]	0.9985132	0.9984777	0.9985487
nitrate + phosphate	global	(27.95,28.05]	0.9985631	0.9983766	0.9987495
nitrate + phosphate	global	(28.05,28.1]	0.9987045	0.9986286	0.9987804
nitrate + phosphate	global	(28.1,28.2]	0.9979964	0.9977473	0.9982456
nitrate + phosphate	global	(28.2,28.3]	0.9970180	0.9970109	0.9970250
nitrate + phosphate	global	(28.3,28.4]	0.8768495	0.7803604	0.9733385
nitrate + phosphate	global	(28.4, Inf]	0.8669827	0.8190266	0.9149388
nitrate + silicate	global	(-Inf,26]	0.8573692	0.8548007	0.8599377
nitrate + silicate	global	(26,26.5]	0.8601350	0.8482816	0.8719884
nitrate + silicate	global	(26.5,26.75]	0.8312120	0.8253840	0.8370399
nitrate + silicate	global	(26.75,27]	0.8295636	0.8144360	0.8446912
nitrate + silicate	global	(27,27.25]	0.8326483	0.8180424	0.8472542
nitrate + silicate	global	(27.25,27.5]	0.8420233	0.8309089	0.8531378
nitrate + silicate	global	(27.5,27.75]	0.8869984	0.8843531	0.8896436
nitrate + silicate	global	(27.75,27.85]	0.9479481	0.9441234	0.9517729
nitrate + silicate	global	(27.85,27.95]	0.9676080	0.9638772	0.9713389
nitrate + silicate	global	(27.95,28.05]	0.9747213	0.9726392	0.9768034
nitrate + silicate	global	(28.05,28.1]	0.9781424	0.9765417	0.9797431
nitrate + silicate	global	(28.1,28.2]	0.9803500	0.9800717	0.9806284
nitrate + silicate	global	(28.2,28.3]	0.9764274	0.9763375	0.9765172
nitrate + silicate	global	(28.3,28.4]	0.6792378	0.6190026	0.7394729
nitrate + silicate	global	(28.4, Inf]	0.9001363	0.8991007	0.9011719
oxygen + nitrate	global	(-Inf,26]	-0.7317605	-0.7777589	-0.6857620
oxygen + nitrate	global	(26,26.5]	-0.7889351	-0.8023075	-0.7755627
oxygen + nitrate	global	(26.5,26.75]	-0.7874611	-0.8037546	-0.7711675
oxygen + nitrate	global	(26.75,27]	-0.8158247	-0.8260193	-0.8056302
oxygen + nitrate	global	(27,27.25]	-0.8160812	-0.8227866	-0.8093758
oxygen + nitrate	global	(27.25,27.5]	-0.8064799	-0.8117768	-0.8011830
oxygen + nitrate	global	(27.5,27.75]	-0.8288066	-0.8358217	-0.8217914
oxygen + nitrate	global	(27.75,27.85]	-0.9022664	-0.9053508	-0.8991820
oxygen + nitrate	global	(27.85,27.95]	-0.9300814	-0.9304573	-0.9297055
oxygen + nitrate	global	(27.95,28.05]	-0.9366840	-0.9378126	-0.9355553
oxygen + nitrate	global	(28.05,28.1]	-0.9637365	-0.9649356	-0.9625374
oxygen + nitrate	global	(28.1,28.2]	-0.9449643	-0.9464014	-0.9435272
oxygen + nitrate	global	(28.2,28.3]	-0.9378087	-0.9416217	-0.9339957
oxygen + nitrate	global	(28.3,28.4]	-0.4227199	-0.5262414	-0.3191984
oxygen + nitrate	global	(28.4, Inf]	-0.8008688	-0.9024146	-0.6993230
oxygen + phosphate	global	(-Inf,26]	-0.7614707	-0.7984447	-0.7244967
oxygen + phosphate	global	(26,26.5]	-0.8172793	-0.8268155	-0.8077430
oxygen + phosphate	global	(26.5,26.75]	-0.7946158	-0.8122398	-0.7769917
oxygen + phosphate	global	(26.75,27]	-0.7909408	-0.7998989	-0.7819827
oxygen + phosphate	global	(27,27.25]	-0.7962498	-0.7992656	-0.7932340
oxygen + phosphate	global	(27.25,27.5]	-0.8095653	-0.8157010	-0.8034296
oxygen + phosphate	global	(27.5,27.75]	-0.8432796	-0.8484895	-0.8380697
oxygen + phosphate	global	(27.75,27.85]	-0.9090611	-0.9104472	-0.9076750
oxygen + phosphate	global	(27.85,27.95]	-0.9342219	-0.9342534	-0.9341905
oxygen + phosphate	global	(27.95,28.05]	-0.9408369	-0.9411915	-0.9404824
oxygen + phosphate	global	(28.05,28.1]	-0.9657747	-0.9668090	-0.9647403
oxygen + phosphate	global	(28.1,28.2]	-0.9468524	-0.9493064	-0.9443983
oxygen + phosphate	global	(28.2,28.3]	-0.9338424	-0.9348718	-0.9328131
oxygen + phosphate	global	(28.3,28.4]	-0.3332375	-0.5392212	-0.1272538
oxygen + phosphate	global	(28.4, Inf]	-0.7331046	-0.8612956	-0.6049136
oxygen + silicate	global	(-Inf,26]	-0.5103682	-0.5884791	-0.4322574
oxygen + silicate	global	(26,26.5]	-0.5808812	-0.5829395	-0.5788229
oxygen + silicate	global	(26.5,26.75]	-0.5114049	-0.5369335	-0.4858764
oxygen + silicate	global	(26.75,27]	-0.6096611	-0.6167598	-0.6025625
oxygen + silicate	global	(27,27.25]	-0.7662177	-0.7909414	-0.7414940
oxygen + silicate	global	(27.25,27.5]	-0.8355005	-0.8528577	-0.8181433
oxygen + silicate	global	(27.5,27.75]	-0.8840372	-0.8959472	-0.8721273
oxygen + silicate	global	(27.75,27.85]	-0.9473459	-0.9503277	-0.9443641
oxygen + silicate	global	(27.85,27.95]	-0.9546948	-0.9549034	-0.9544862
oxygen + silicate	global	(27.95,28.05]	-0.9621948	-0.9627747	-0.9616148
oxygen + silicate	global	(28.05,28.1]	-0.9839158	-0.9839782	-0.9838534
oxygen + silicate	global	(28.1,28.2]	-0.9604910	-0.9629608	-0.9580213
oxygen + silicate	global	(28.2,28.3]	-0.9326389	-0.9395470	-0.9257308
oxygen + silicate	global	(28.3,28.4]	-0.6110451	-0.7612119	-0.4608784
oxygen + silicate	global	(28.4, Inf]	-0.8944344	-0.9440409	-0.8448278
sal + aou	global	(-Inf,26]	-0.1326000	-0.1511633	-0.1140367
sal + aou	global	(26,26.5]	-0.3773164	-0.3932865	-0.3613463
sal + aou	global	(26.5,26.75]	-0.4029848	-0.4081356	-0.3978339
sal + aou	global	(26.75,27]	-0.3367184	-0.3758524	-0.2975844
sal + aou	global	(27,27.25]	-0.2402808	-0.2634462	-0.2171155
sal + aou	global	(27.25,27.5]	-0.1632394	-0.2255961	-0.1008826
sal + aou	global	(27.5,27.75]	-0.3907206	-0.4540720	-0.3273691
sal + aou	global	(27.75,27.85]	-0.5900695	-0.6017713	-0.5783677
sal + aou	global	(27.85,27.95]	-0.6946411	-0.7014238	-0.6878583
sal + aou	global	(27.95,28.05]	-0.7637967	-0.7758963	-0.7516970
sal + aou	global	(28.05,28.1]	-0.8813305	-0.8903414	-0.8723196
sal + aou	global	(28.1,28.2]	-0.8709931	-0.8740044	-0.8679818
sal + aou	global	(28.2,28.3]	-0.8302961	-0.8597290	-0.8008632
sal + aou	global	(28.3,28.4]	0.6301987	0.3747686	0.8856288
sal + aou	global	(28.4, Inf]	0.7550111	0.7375052	0.7725169
sal + nitrate	global	(-Inf,26]	-0.3816260	-0.4069454	-0.3563066
sal + nitrate	global	(26,26.5]	-0.6516679	-0.6716114	-0.6317245
sal + nitrate	global	(26.5,26.75]	-0.6862784	-0.6926216	-0.6799352
sal + nitrate	global	(26.75,27]	-0.6303745	-0.6713232	-0.5894259
sal + nitrate	global	(27,27.25]	-0.5783808	-0.6091807	-0.5475810
sal + nitrate	global	(27.25,27.5]	-0.5328102	-0.5784325	-0.4871879
sal + nitrate	global	(27.5,27.75]	-0.6988342	-0.7326636	-0.6650048
sal + nitrate	global	(27.75,27.85]	-0.7751167	-0.7751586	-0.7750747
sal + nitrate	global	(27.85,27.95]	-0.8365504	-0.8458093	-0.8272916
sal + nitrate	global	(27.95,28.05]	-0.8881382	-0.8973402	-0.8789362
sal + nitrate	global	(28.05,28.1]	-0.9476564	-0.9539542	-0.9413587
sal + nitrate	global	(28.1,28.2]	-0.9464536	-0.9504535	-0.9424538
sal + nitrate	global	(28.2,28.3]	-0.9370997	-0.9475166	-0.9266827
sal + nitrate	global	(28.3,28.4]	-0.1490682	-0.4611054	0.1629690
sal + nitrate	global	(28.4, Inf]	0.5016788	0.2124097	0.7909478
sal + oxygen	global	(-Inf,26]	-0.1784121	-0.2281973	-0.1286270
sal + oxygen	global	(26,26.5]	0.1325528	0.1245675	0.1405382
sal + oxygen	global	(26.5,26.75]	0.1635095	0.1524151	0.1746038
sal + oxygen	global	(26.75,27]	0.1187794	0.0847100	0.1528487
sal + oxygen	global	(27,27.25]	0.0589806	0.0368265	0.0811346
sal + oxygen	global	(27.25,27.5]	0.0049649	-0.0571535	0.0670834
sal + oxygen	global	(27.5,27.75]	0.2509674	0.1848019	0.3171328
sal + oxygen	global	(27.75,27.85]	0.4875177	0.4757882	0.4992472
sal + oxygen	global	(27.85,27.95]	0.6161072	0.6081290	0.6240853
sal + oxygen	global	(27.95,28.05]	0.6951922	0.6814541	0.7089302
sal + oxygen	global	(28.05,28.1]	0.8458145	0.8343798	0.8572492
sal + oxygen	global	(28.1,28.2]	0.8215896	0.8193456	0.8238335
sal + oxygen	global	(28.2,28.3]	0.7829599	0.7543376	0.8115823
sal + oxygen	global	(28.3,28.4]	-0.6584587	-0.8899163	-0.4270011
sal + oxygen	global	(28.4, Inf]	-0.7712089	-0.7800719	-0.7623459
sal + phosphate	global	(-Inf,26]	-0.3060641	-0.3229473	-0.2891809
sal + phosphate	global	(26,26.5]	-0.6498382	-0.6699376	-0.6297388
sal + phosphate	global	(26.5,26.75]	-0.7081380	-0.7173981	-0.6988778
sal + phosphate	global	(26.75,27]	-0.6819273	-0.7169524	-0.6469023
sal + phosphate	global	(27,27.25]	-0.6255859	-0.6477431	-0.6034287
sal + phosphate	global	(27.25,27.5]	-0.5473207	-0.5908585	-0.5037829
sal + phosphate	global	(27.5,27.75]	-0.6900153	-0.7310843	-0.6489464
sal + phosphate	global	(27.75,27.85]	-0.7732234	-0.7775316	-0.7689153
sal + phosphate	global	(27.85,27.95]	-0.8342177	-0.8414815	-0.8269538
sal + phosphate	global	(27.95,28.05]	-0.8848104	-0.8938525	-0.8757682
sal + phosphate	global	(28.05,28.1]	-0.9476107	-0.9536296	-0.9415919
sal + phosphate	global	(28.1,28.2]	-0.9489179	-0.9528817	-0.9449541
sal + phosphate	global	(28.2,28.3]	-0.9419040	-0.9557562	-0.9280519
sal + phosphate	global	(28.3,28.4]	-0.2548318	-0.4606877	-0.0489758
sal + phosphate	global	(28.4, Inf]	0.3925297	0.1537135	0.6313460
sal + silicate	global	(-Inf,26]	-0.4991787	-0.5459635	-0.4523939
sal + silicate	global	(26,26.5]	-0.6869933	-0.7055939	-0.6683928
sal + silicate	global	(26.5,26.75]	-0.7554733	-0.7732139	-0.7377326
sal + silicate	global	(26.75,27]	-0.6886559	-0.7062260	-0.6710859
sal + silicate	global	(27,27.25]	-0.5097745	-0.5161323	-0.5034168
sal + silicate	global	(27.25,27.5]	-0.3860879	-0.4206174	-0.3515585
sal + silicate	global	(27.5,27.75]	-0.5128181	-0.5599821	-0.4656542
sal + silicate	global	(27.75,27.85]	-0.6700276	-0.6791499	-0.6609054
sal + silicate	global	(27.85,27.95]	-0.7684977	-0.7690619	-0.7679335
sal + silicate	global	(27.95,28.05]	-0.8223558	-0.8260698	-0.8186419
sal + silicate	global	(28.05,28.1]	-0.8993722	-0.9045327	-0.8942117
sal + silicate	global	(28.1,28.2]	-0.9135091	-0.9171946	-0.9098236
sal + silicate	global	(28.2,28.3]	-0.8898373	-0.9055438	-0.8741309
sal + silicate	global	(28.3,28.4]	0.2082446	0.0598509	0.3566384
sal + silicate	global	(28.4, Inf]	0.5885060	0.3769862	0.8000259
sal + temp	global	(-Inf,26]	0.7493876	0.7283995	0.7703756
sal + temp	global	(26,26.5]	0.9681371	0.9666559	0.9696184
sal + temp	global	(26.5,26.75]	0.9871158	0.9869866	0.9872451
sal + temp	global	(26.75,27]	0.9809615	0.9804573	0.9814657
sal + temp	global	(27,27.25]	0.9742654	0.9726309	0.9758998
sal + temp	global	(27.25,27.5]	0.9568674	0.9546552	0.9590796
sal + temp	global	(27.5,27.75]	0.9345696	0.9245412	0.9445980
sal + temp	global	(27.75,27.85]	0.9754148	0.9705229	0.9803067
sal + temp	global	(27.85,27.95]	0.9499662	0.9487406	0.9511917
sal + temp	global	(27.95,28.05]	0.9247302	0.9223275	0.9271328
sal + temp	global	(28.05,28.1]	0.9353177	0.9351470	0.9354884
sal + temp	global	(28.1,28.2]	0.7526399	0.6840629	0.8212170
sal + temp	global	(28.2,28.3]	0.2136823	0.1847134	0.2426512
sal + temp	global	(28.3,28.4]	0.7372213	0.6056504	0.8687922
sal + temp	global	(28.4, Inf]	0.7412688	0.6885464	0.7939913
silicate + phosphate	global	(-Inf,26]	0.7756569	0.7751173	0.7761964
silicate + phosphate	global	(26,26.5]	0.8321324	0.8218966	0.8423681
silicate + phosphate	global	(26.5,26.75]	0.8231553	0.8155416	0.8307689
silicate + phosphate	global	(26.75,27]	0.8498003	0.8390881	0.8605124
silicate + phosphate	global	(27,27.25]	0.8618272	0.8564021	0.8672522
silicate + phosphate	global	(27.25,27.5]	0.8733184	0.8681534	0.8784833
silicate + phosphate	global	(27.5,27.75]	0.9058941	0.9018432	0.9099449
silicate + phosphate	global	(27.75,27.85]	0.9567679	0.9535547	0.9599812
silicate + phosphate	global	(27.85,27.95]	0.9730951	0.9699729	0.9762173
silicate + phosphate	global	(27.95,28.05]	0.9785570	0.9762850	0.9808290
silicate + phosphate	global	(28.05,28.1]	0.9806778	0.9795040	0.9818515
silicate + phosphate	global	(28.1,28.2]	0.9826092	0.9820683	0.9831501
silicate + phosphate	global	(28.2,28.3]	0.9757446	0.9718451	0.9796440
silicate + phosphate	global	(28.3,28.4]	0.6153117	0.4908871	0.7397362
silicate + phosphate	global	(28.4, Inf]	0.7985686	0.7902787	0.8068585
temp + aou	global	(-Inf,26]	-0.1476599	-0.1633452	-0.1319745
temp + aou	global	(26,26.5]	-0.4023689	-0.4167425	-0.3879952
temp + aou	global	(26.5,26.75]	-0.3844074	-0.3906672	-0.3781477
temp + aou	global	(26.75,27]	-0.3380974	-0.3809529	-0.2952419
temp + aou	global	(27,27.25]	-0.2339900	-0.2531984	-0.2147816
temp + aou	global	(27.25,27.5]	-0.1398460	-0.2062212	-0.0734708
temp + aou	global	(27.5,27.75]	-0.3235854	-0.4047723	-0.2423984
temp + aou	global	(27.75,27.85]	-0.5409547	-0.5664466	-0.5154629
temp + aou	global	(27.85,27.95]	-0.5532953	-0.5654442	-0.5411464
temp + aou	global	(27.95,28.05]	-0.5375371	-0.5575336	-0.5175406
temp + aou	global	(28.05,28.1]	-0.6873836	-0.7024809	-0.6722864
temp + aou	global	(28.1,28.2]	-0.4064654	-0.4900566	-0.3228742
temp + aou	global	(28.2,28.3]	0.0580674	0.0035718	0.1125630
temp + aou	global	(28.3,28.4]	0.9191030	0.9142405	0.9239655
temp + aou	global	(28.4, Inf]	0.9694870	0.9692559	0.9697180
temp + nitrate	global	(-Inf,26]	-0.4239009	-0.4386174	-0.4091843
temp + nitrate	global	(26,26.5]	-0.6887379	-0.7063134	-0.6711624
temp + nitrate	global	(26.5,26.75]	-0.6845921	-0.6919688	-0.6772153
temp + nitrate	global	(26.75,27]	-0.6414926	-0.6849706	-0.5980146
temp + nitrate	global	(27,27.25]	-0.5723519	-0.6001999	-0.5445039
temp + nitrate	global	(27.25,27.5]	-0.5025242	-0.5497494	-0.4552991
temp + nitrate	global	(27.5,27.75]	-0.6325833	-0.6842601	-0.5809065
temp + nitrate	global	(27.75,27.85]	-0.7378307	-0.7512465	-0.7244150
temp + nitrate	global	(27.85,27.95]	-0.7264208	-0.7391127	-0.7137288
temp + nitrate	global	(27.95,28.05]	-0.7112053	-0.7266108	-0.6957997
temp + nitrate	global	(28.05,28.1]	-0.8019518	-0.8145888	-0.7893149
temp + nitrate	global	(28.1,28.2]	-0.5674104	-0.6637223	-0.4710985
temp + nitrate	global	(28.2,28.3]	-0.0483598	-0.0948200	-0.0018996
temp + nitrate	global	(28.3,28.4]	0.2528266	0.1905280	0.3151253
temp + nitrate	global	(28.4, Inf]	0.8336491	0.7655780	0.9017202
temp + oxygen	global	(-Inf,26]	-0.2422579	-0.2867442	-0.1977715
temp + oxygen	global	(26,26.5]	0.1496604	0.1431990	0.1561219
temp + oxygen	global	(26.5,26.75]	0.1381481	0.1257932	0.1505031
temp + oxygen	global	(26.75,27]	0.1137877	0.0761107	0.1514647
temp + oxygen	global	(27,27.25]	0.0464914	0.0281823	0.0648006
temp + oxygen	global	(27.25,27.5]	-0.0264942	-0.0926743	0.0396859
temp + oxygen	global	(27.5,27.75]	0.1693911	0.0839556	0.2548265
temp + oxygen	global	(27.75,27.85]	0.4302247	0.4032821	0.4571673
temp + oxygen	global	(27.85,27.95]	0.4577559	0.4440484	0.4714634
temp + oxygen	global	(27.95,28.05]	0.4451624	0.4235857	0.4667391
temp + oxygen	global	(28.05,28.1]	0.6330621	0.6149614	0.6511629
temp + oxygen	global	(28.1,28.2]	0.3153373	0.2262270	0.4044477
temp + oxygen	global	(28.2,28.3]	-0.1847829	-0.2364834	-0.1330823
temp + oxygen	global	(28.3,28.4]	-0.9324779	-0.9337404	-0.9312155
temp + oxygen	global	(28.4, Inf]	-0.9736273	-0.9789755	-0.9682790
temp + phosphate	global	(-Inf,26]	-0.3586940	-0.3616336	-0.3557543
temp + phosphate	global	(26,26.5]	-0.6781695	-0.6960549	-0.6602840
temp + phosphate	global	(26.5,26.75]	-0.6992003	-0.7090374	-0.6893632
temp + phosphate	global	(26.75,27]	-0.6846294	-0.7226429	-0.6466158
temp + phosphate	global	(27,27.25]	-0.6148616	-0.6344755	-0.5952476
temp + phosphate	global	(27.25,27.5]	-0.5185543	-0.5640193	-0.4730894
temp + phosphate	global	(27.5,27.75]	-0.6237795	-0.6828590	-0.5646999
temp + phosphate	global	(27.75,27.85]	-0.7345382	-0.7518314	-0.7172450
temp + phosphate	global	(27.85,27.95]	-0.7227168	-0.7338908	-0.7115428
temp + phosphate	global	(27.95,28.05]	-0.7057029	-0.7214922	-0.6899135
temp + phosphate	global	(28.05,28.1]	-0.7991105	-0.8114392	-0.7867819
temp + phosphate	global	(28.1,28.2]	-0.5667727	-0.6622606	-0.4712847
temp + phosphate	global	(28.2,28.3]	-0.0484727	-0.0985467	0.0016013
temp + phosphate	global	(28.3,28.4]	0.1680449	0.0066445	0.3294453
temp + phosphate	global	(28.4, Inf]	0.7336767	0.6545917	0.8127618
temp + silicate	global	(-Inf,26]	-0.5052169	-0.5539407	-0.4564932
temp + silicate	global	(26,26.5]	-0.7275433	-0.7432823	-0.7118043
temp + silicate	global	(26.5,26.75]	-0.7788892	-0.7973197	-0.7604588
temp + silicate	global	(26.75,27]	-0.7208309	-0.7427124	-0.6989493
temp + silicate	global	(27,27.25]	-0.5318327	-0.5424154	-0.5212499
temp + silicate	global	(27.25,27.5]	-0.4018732	-0.4392762	-0.3644702
temp + silicate	global	(27.5,27.75]	-0.5145649	-0.5691624	-0.4599674
temp + silicate	global	(27.75,27.85]	-0.6454899	-0.6638328	-0.6271471
temp + silicate	global	(27.85,27.95]	-0.6627580	-0.6669295	-0.6585865
temp + silicate	global	(27.95,28.05]	-0.6383965	-0.6490901	-0.6277029
temp + silicate	global	(28.05,28.1]	-0.7212388	-0.7298365	-0.7126412
temp + silicate	global	(28.1,28.2]	-0.4982520	-0.5875430	-0.4089609
temp + silicate	global	(28.2,28.3]	-0.0030888	-0.0701687	0.0639910
temp + silicate	global	(28.3,28.4]	0.5903183	0.4951867	0.6854499
temp + silicate	global	(28.4, Inf]	0.9140827	0.9075674	0.9205979

rm(cor_predictors, cor_predictors_stats)

3.2.3 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
340d731	jens-daniel-mueller	2021-08-06
71546e4	jens-daniel-mueller	2021-08-06
29444a1	jens-daniel-mueller	2021-08-05
42e80c0	jens-daniel-mueller	2021-08-04
48f6eed	jens-daniel-mueller	2021-08-04
81a46a4	jens-daniel-mueller	2021-08-03
b88c61b	jens-daniel-mueller	2021-08-03
a53656d	jens-daniel-mueller	2021-08-03
88f7356	jens-daniel-mueller	2021-08-02
d759279	jens-daniel-mueller	2021-08-02
127b801	jens-daniel-mueller	2021-07-24
912d90e	jens-daniel-mueller	2021-07-23
2477316	jens-daniel-mueller	2021-07-23
c9ccc00	jens-daniel-mueller	2021-07-22
c18a8b1	jens-daniel-mueller	2021-07-09
910d64a	jens-daniel-mueller	2021-07-02
1cbf907	jens-daniel-mueller	2021-07-02
955f5dc	jens-daniel-mueller	2021-06-29
9480f94	jens-daniel-mueller	2021-06-29
d054c39	jens-daniel-mueller	2021-06-24
4fcd066	jens-daniel-mueller	2021-06-24
3b6387f	jens-daniel-mueller	2021-06-18
c6b3da6	jens-daniel-mueller	2021-06-14
439ee80	jens-daniel-mueller	2021-06-11
33ffcab	jens-daniel-mueller	2021-06-10
7e1f407	jens-daniel-mueller	2021-06-10
2cbe18c	jens-daniel-mueller	2021-06-10
69c79d0	jens-daniel-mueller	2021-06-08
1772903	jens-daniel-mueller	2021-06-07
594ed9a	jens-daniel-mueller	2021-06-04
db7df0e	jens-daniel-mueller	2021-06-04
2edc791	jens-daniel-mueller	2021-06-04
207339d	jens-daniel-mueller	2021-06-03
315710b	jens-daniel-mueller	2021-06-03
d37a85d	jens-daniel-mueller	2021-05-31
4b7a5ee	jens-daniel-mueller	2021-05-28
25bd183	jens-daniel-mueller	2021-05-26
62bd574	jens-daniel-mueller	2021-05-20
7c56c39	jens-daniel-mueller	2021-05-19
52e7583	jens-daniel-mueller	2021-05-12
969e631	jens-daniel-mueller	2021-05-12
d2a83bc	jens-daniel-mueller	2021-04-16
c0a47df	jens-daniel-mueller	2021-04-16
50290e8	jens-daniel-mueller	2021-04-16
a00ec94	jens-daniel-mueller	2021-04-16
b6fe355	jens-daniel-mueller	2021-04-16
81b7c6d	jens-daniel-mueller	2021-04-16
ddec5b7	jens-daniel-mueller	2021-04-15
29edae5	jens-daniel-mueller	2021-04-14
099d566	jens-daniel-mueller	2021-04-14
bb44686	jens-daniel-mueller	2021-04-14
bf40480	jens-daniel-mueller	2021-04-13
9f31fe3	jens-daniel-mueller	2021-04-13
338dd3c	jens-daniel-mueller	2021-04-09
a79ca2c	jens-daniel-mueller	2021-04-09
eb827c9	jens-daniel-mueller	2021-04-07
19faa17	jens-daniel-mueller	2021-03-24
03b6009	jens-daniel-mueller	2021-03-23
98d4a6d	jens-daniel-mueller	2021-03-23
f155edd	jens-daniel-mueller	2021-03-23
83a13de	jens-daniel-mueller	2021-03-20
cf98c6d	jens-daniel-mueller	2021-03-16
a1d52ff	jens-daniel-mueller	2021-03-15
0bade3b	jens-daniel-mueller	2021-03-15
27c1f4b	jens-daniel-mueller	2021-03-14
af75ebf	jens-daniel-mueller	2021-03-14
5017709	jens-daniel-mueller	2021-03-11
585b07f	jens-daniel-mueller	2021-03-11
85a5ed2	jens-daniel-mueller	2021-03-10
6c0bec6	jens-daniel-mueller	2021-03-05
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	global	(-Inf,26]	-0.3846459	-0.4721903	-0.2971015
aou	global	(26,26.5]	-0.7209012	-0.7488276	-0.6929748
aou	global	(26.5,26.75]	-0.7045339	-0.7528604	-0.6562074
aou	global	(26.75,27]	-0.5741883	-0.5925128	-0.5558638
aou	global	(27,27.25]	-0.2524669	-0.2611338	-0.2437999
aou	global	(27.25,27.5]	-0.0859553	-0.1204685	-0.0514422
aou	global	(27.5,27.75]	-0.1590107	-0.2447364	-0.0732849
aou	global	(27.75,27.85]	-0.4511351	-0.4923984	-0.4098719
aou	global	(27.85,27.95]	-0.6079703	-0.6393310	-0.5766095
aou	global	(27.95,28.05]	-0.6704095	-0.7022300	-0.6385890
aou	global	(28.05,28.1]	-0.7692720	-0.7883287	-0.7502152
aou	global	(28.1,28.2]	-0.7882243	-0.8074985	-0.7689501
aou	global	(28.2,28.3]	-0.9148526	-0.9221513	-0.9075539
aou	global	(28.3,28.4]	0.0493480	-0.2375342	0.3362303
aou	global	(28.4, Inf]	-0.0769802	-0.3346232	0.1806627
nitrate	global	(-Inf,26]	-0.4282448	-0.5116376	-0.3448521
nitrate	global	(26,26.5]	-0.8607916	-0.8838871	-0.8376961
nitrate	global	(26.5,26.75]	-0.8639926	-0.8877556	-0.8402295
nitrate	global	(26.75,27]	-0.7852130	-0.7874804	-0.7829456
nitrate	global	(27,27.25]	-0.5895480	-0.5960202	-0.5830758
nitrate	global	(27.25,27.5]	-0.4968837	-0.5239763	-0.4697911
nitrate	global	(27.5,27.75]	-0.5316181	-0.6039003	-0.4593358
nitrate	global	(27.75,27.85]	-0.6899491	-0.7226447	-0.6572536
nitrate	global	(27.85,27.95]	-0.7702007	-0.7968981	-0.7435034
nitrate	global	(27.95,28.05]	-0.8070860	-0.8338063	-0.7803658
nitrate	global	(28.05,28.1]	-0.8603806	-0.8765074	-0.8442537
nitrate	global	(28.1,28.2]	-0.8889188	-0.9032663	-0.8745713
nitrate	global	(28.2,28.3]	-0.9724433	-0.9733892	-0.9714975
nitrate	global	(28.3,28.4]	-0.6356811	-0.7973523	-0.4740099
nitrate	global	(28.4, Inf]	-0.3051650	-0.3118963	-0.2984337
oxygen	global	(-Inf,26]	0.4285689	0.3549568	0.5021811
oxygen	global	(26,26.5]	0.5561769	0.5209810	0.5913729
oxygen	global	(26.5,26.75]	0.5322063	0.4724906	0.5919220
oxygen	global	(26.75,27]	0.4132151	0.3853147	0.4411155
oxygen	global	(27,27.25]	0.1219397	0.1086040	0.1352755
oxygen	global	(27.25,27.5]	-0.0138133	-0.0468029	0.0191763
oxygen	global	(27.5,27.75]	0.0643041	-0.0189452	0.1475535
oxygen	global	(27.75,27.85]	0.3777311	0.3381011	0.4173611
oxygen	global	(27.85,27.95]	0.5545450	0.5231231	0.5859668
oxygen	global	(27.95,28.05]	0.6201122	0.5879604	0.6522640
oxygen	global	(28.05,28.1]	0.7414407	0.7224301	0.7604514
oxygen	global	(28.1,28.2]	0.7554124	0.7276928	0.7831321
oxygen	global	(28.2,28.3]	0.8887097	0.8798606	0.8975588
oxygen	global	(28.3,28.4]	-0.0844333	-0.3524474	0.1835809
oxygen	global	(28.4, Inf]	0.0658281	-0.1933328	0.3249889
phosphate	global	(-Inf,26]	-0.4383112	-0.5068705	-0.3697520
phosphate	global	(26,26.5]	-0.8869415	-0.9059455	-0.8679376
phosphate	global	(26.5,26.75]	-0.9019660	-0.9214672	-0.8824648
phosphate	global	(26.75,27]	-0.8353919	-0.8429077	-0.8278762
phosphate	global	(27,27.25]	-0.6260291	-0.6284740	-0.6235842
phosphate	global	(27.25,27.5]	-0.4861602	-0.5123930	-0.4599274
phosphate	global	(27.5,27.75]	-0.5096276	-0.5819354	-0.4373198
phosphate	global	(27.75,27.85]	-0.6779420	-0.7130359	-0.6428480
phosphate	global	(27.85,27.95]	-0.7623585	-0.7904954	-0.7342215
phosphate	global	(27.95,28.05]	-0.8017002	-0.8284724	-0.7749280
phosphate	global	(28.05,28.1]	-0.8581430	-0.8746114	-0.8416746
phosphate	global	(28.1,28.2]	-0.8873745	-0.9007626	-0.8739864
phosphate	global	(28.2,28.3]	-0.9790434	-0.9792135	-0.9788732
phosphate	global	(28.3,28.4]	-0.7643807	-0.8143274	-0.7144339
phosphate	global	(28.4, Inf]	-0.5359536	-0.5509963	-0.5209109
sal	global	(-Inf,26]	0.2643093	0.2161448	0.3124739
sal	global	(26,26.5]	0.7961437	0.7904298	0.8018577
sal	global	(26.5,26.75]	0.8296607	0.8239053	0.8354162
sal	global	(26.75,27]	0.8315753	0.8054840	0.8576666
sal	global	(27,27.25]	0.7786397	0.7599114	0.7973680
sal	global	(27.25,27.5]	0.6804002	0.6664175	0.6943830
sal	global	(27.5,27.75]	0.6953983	0.6735615	0.7172352
sal	global	(27.75,27.85]	0.7327181	0.7154957	0.7499406
sal	global	(27.85,27.95]	0.7645218	0.7506137	0.7784299
sal	global	(27.95,28.05]	0.8140603	0.8048970	0.8232236
sal	global	(28.05,28.1]	0.8580784	0.8506252	0.8655317
sal	global	(28.1,28.2]	0.8537912	0.8506762	0.8569063
sal	global	(28.2,28.3]	0.9343984	0.9299937	0.9388031
sal	global	(28.3,28.4]	0.4764180	0.3758032	0.5770327
sal	global	(28.4, Inf]	0.2299366	-0.0050370	0.4649102
silicate	global	(-Inf,26]	-0.3643568	-0.4542471	-0.2744665
silicate	global	(26,26.5]	-0.7866803	-0.7961863	-0.7771744
silicate	global	(26.5,26.75]	-0.7865029	-0.7900039	-0.7830019
silicate	global	(26.75,27]	-0.6452257	-0.6463840	-0.6440674
silicate	global	(27,27.25]	-0.2845805	-0.3001253	-0.2690357
silicate	global	(27.25,27.5]	-0.0792678	-0.1099867	-0.0485489
silicate	global	(27.5,27.75]	-0.1532827	-0.2398983	-0.0666671
silicate	global	(27.75,27.85]	-0.4572494	-0.5091394	-0.4053594
silicate	global	(27.85,27.95]	-0.6124484	-0.6568095	-0.5680873
silicate	global	(27.95,28.05]	-0.6857381	-0.7234175	-0.6480586
silicate	global	(28.05,28.1]	-0.7647362	-0.7876256	-0.7418469
silicate	global	(28.1,28.2]	-0.8243474	-0.8426439	-0.8060510
silicate	global	(28.2,28.3]	-0.9462627	-0.9507600	-0.9417653
silicate	global	(28.3,28.4]	-0.3398734	-0.5280729	-0.1516739
silicate	global	(28.4, Inf]	-0.1835484	-0.2358528	-0.1312441
temp	global	(-Inf,26]	-0.1826355	-0.2250684	-0.1402025
temp	global	(26,26.5]	0.7813720	0.7793370	0.7834070
temp	global	(26.5,26.75]	0.8167618	0.8084706	0.8250531
temp	global	(26.75,27]	0.8090451	0.7840287	0.8340614
temp	global	(27,27.25]	0.7342480	0.7155098	0.7529862
temp	global	(27.25,27.5]	0.6189842	0.6115807	0.6263878
temp	global	(27.5,27.75]	0.6137623	0.5823527	0.6451720
temp	global	(27.75,27.85]	0.7028612	0.6746240	0.7310983
temp	global	(27.85,27.95]	0.7126162	0.7061857	0.7190468
temp	global	(27.95,28.05]	0.7393549	0.7392513	0.7394585
temp	global	(28.05,28.1]	0.8026031	0.7943306	0.8108756
temp	global	(28.1,28.2]	0.5850626	0.4534256	0.7166996
temp	global	(28.2,28.3]	0.0347063	0.0042467	0.0651660
temp	global	(28.3,28.4]	0.2329742	0.0215816	0.4443667
temp	global	(28.4, Inf]	-0.0605065	-0.2601759	0.1391629

rm(cor_target_predictor, cor_target_predictor_stats)

Session information

sessionInfo()

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

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3   
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_1.4-1         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.1.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.11          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_1.5             Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] MASS_7.3-53              plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] tweenr_1.0.2             httpuv_1.5.4             cellranger_1.1.0        
[73] gtable_0.3.0             polyclip_1.10-0          reshape_0.8.8           
[76] assertthat_0.2.1         openxlsx_4.2.3           xfun_0.18               
[79] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[82] ellipsis_0.3.1           here_0.1