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Rmd	ca65bf5	jens-daniel-mueller	2020-12-18	rebuild after final cleaning
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html	4d612dd	jens-daniel-mueller	2020-12-15	Build site.
Rmd	e7e5ff1	jens-daniel-mueller	2020-12-15	rebuild with eMLR target variable selection
html	953caf3	jens-daniel-mueller	2020-12-15	Build site.
html	42daf5c	jens-daniel-mueller	2020-12-14	Build site.
Rmd	923aa7f	jens-daniel-mueller	2020-12-14	rebuild with new path and auto folder creation
html	984697e	jens-daniel-mueller	2020-12-12	Build site.
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Rmd	3d33a37	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
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Rmd	992ba15	jens-daniel-mueller	2020-12-03	rebuild with variable inventory depth
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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.
html	7c25f7a	jens-daniel-mueller	2020-12-02	Build site.
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Rmd	9183e8f	jens-daniel-mueller	2020-12-02	revised assignment of era to eras
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Rmd	17d09be	jens-daniel-mueller	2020-12-01	auto eras naming
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Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
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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 Required data

Required are:

cleaned and prepared GLODAPv2.2020 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 coeffcients.

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).

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) %>%
  map(plot_fun)

[[1]]

Version	Author	Date
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]]

Version	Author	Date
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


[[3]]

Version	Author	Date
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
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


[[4]]

Version	Author	Date
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
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()
      
    }
  }
}

}

2.2 Correlation assesment

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
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	Atlantic	(-Inf,26]	0.9054309	0.9049807	0.9058811
aou + nitrate	Atlantic	(26,26.5]	0.8902914	0.8749882	0.9055945
aou + nitrate	Atlantic	(26.5,26.75]	0.9576832	0.9442973	0.9710690
aou + nitrate	Atlantic	(26.75,27]	0.9291614	0.9219156	0.9364071
aou + nitrate	Atlantic	(27,27.25]	0.9011658	0.8763491	0.9259825
aou + nitrate	Atlantic	(27.25,27.5]	0.8068506	0.7685724	0.8451288
aou + nitrate	Atlantic	(27.5,27.75]	0.8711556	0.8533214	0.8889898
aou + nitrate	Atlantic	(27.75,27.85]	0.9426908	0.9403140	0.9450677
aou + nitrate	Atlantic	(27.85,27.95]	0.9518452	0.9466143	0.9570761
aou + nitrate	Atlantic	(27.95,28.05]	0.9502826	0.9491319	0.9514333
aou + nitrate	Atlantic	(28.05,28.1]	0.9593193	0.9455333	0.9731053
aou + nitrate	Atlantic	(28.1,28.15]	0.9769435	0.9664020	0.9874850
aou + nitrate	Atlantic	(28.15,28.2]	0.9816405	0.9690389	0.9942421
aou + nitrate	Atlantic	(28.2, Inf]	0.8498709	0.8382487	0.8614932
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9263245	0.8938621	0.9587868
aou + nitrate	Indo-Pacific	(26,26.5]	0.9127082	0.9018555	0.9235609
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9250434	0.9184116	0.9316752
aou + nitrate	Indo-Pacific	(26.75,27]	0.9384746	0.9344602	0.9424891
aou + nitrate	Indo-Pacific	(27,27.25]	0.9490951	0.9330908	0.9650994
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9400045	0.9069731	0.9730358
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9379139	0.9041062	0.9717216
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9604970	0.9404346	0.9805594
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9667458	0.9565767	0.9769150
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9548385	0.9468193	0.9628576
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9441762	0.9310293	0.9573230
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.7656999	0.7255904	0.8058093
aou + phosphate	Atlantic	(-Inf,26]	0.5902468	0.4370072	0.7434863
aou + phosphate	Atlantic	(26,26.5]	0.7200795	0.6815971	0.7585618
aou + phosphate	Atlantic	(26.5,26.75]	0.8929460	0.8654277	0.9204643
aou + phosphate	Atlantic	(26.75,27]	0.8654839	0.8570948	0.8738729
aou + phosphate	Atlantic	(27,27.25]	0.8568260	0.8298356	0.8838163
aou + phosphate	Atlantic	(27.25,27.5]	0.7576279	0.7197179	0.7955378
aou + phosphate	Atlantic	(27.5,27.75]	0.8429944	0.8284640	0.8575249
aou + phosphate	Atlantic	(27.75,27.85]	0.9269509	0.9250015	0.9289002
aou + phosphate	Atlantic	(27.85,27.95]	0.9432743	0.9398338	0.9467148
aou + phosphate	Atlantic	(27.95,28.05]	0.9451698	0.9439947	0.9463449
aou + phosphate	Atlantic	(28.05,28.1]	0.9517971	0.9369046	0.9666896
aou + phosphate	Atlantic	(28.1,28.15]	0.9717572	0.9626646	0.9808499
aou + phosphate	Atlantic	(28.15,28.2]	0.9809075	0.9687027	0.9931122
aou + phosphate	Atlantic	(28.2, Inf]	0.8493565	0.8400544	0.8586586
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9385769	0.9116480	0.9655058
aou + phosphate	Indo-Pacific	(26,26.5]	0.9584047	0.9503245	0.9664848
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9568361	0.9483264	0.9653458
aou + phosphate	Indo-Pacific	(26.75,27]	0.9498082	0.9456540	0.9539625
aou + phosphate	Indo-Pacific	(27,27.25]	0.9654237	0.9618411	0.9690064
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9695416	0.9595500	0.9795333
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9704063	0.9600954	0.9807173
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9774780	0.9706107	0.9843453
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9746305	0.9697834	0.9794776
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9623054	0.9561010	0.9685098
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9469382	0.9347349	0.9591414
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7557417	0.7077483	0.8037351
aou + phosphate_star	Atlantic	(-Inf,26]	-0.0085707	-0.3533612	0.3362197
aou + phosphate_star	Atlantic	(26,26.5]	0.2814411	0.1874541	0.3754281
aou + phosphate_star	Atlantic	(26.5,26.75]	0.5298658	0.4587594	0.6009722
aou + phosphate_star	Atlantic	(26.75,27]	0.3029048	0.2904155	0.3153940
aou + phosphate_star	Atlantic	(27,27.25]	0.3903811	0.3146202	0.4661420
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2850415	0.2287844	0.3412986
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5472324	0.5186624	0.5758023
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6928182	0.6699119	0.7157245
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6692444	0.6604600	0.6780288
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7450048	0.7174046	0.7726051
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8256998	0.7832729	0.8681267
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8937797	0.8642083	0.9233510
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9304188	0.8836436	0.9771941
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5751602	0.5332518	0.6170687
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6460741	0.5628411	0.7293071
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6206850	0.6148530	0.6265170
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5407186	0.5196663	0.5617709
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.3985846	0.3259637	0.4712055
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.0279580	-0.0718143	0.1277304
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4406657	-0.4567720	-0.4245594
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5926391	-0.6018473	-0.5834308
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4566551	-0.4781406	-0.4351697
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1193138	-0.1580267	-0.0806010
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.2472947	0.2286675	0.2659218
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3525793	0.2916708	0.4134878
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6279325	-0.7031830	-0.5526820
aou + silicate	Atlantic	(-Inf,26]	0.3816857	0.1879405	0.5754309
aou + silicate	Atlantic	(26,26.5]	0.6491147	0.6097835	0.6884459
aou + silicate	Atlantic	(26.5,26.75]	0.8593532	0.7967579	0.9219485
aou + silicate	Atlantic	(26.75,27]	0.8610471	0.8390984	0.8829958
aou + silicate	Atlantic	(27,27.25]	0.8402203	0.8046765	0.8757640
aou + silicate	Atlantic	(27.25,27.5]	0.6150106	0.5385130	0.6915082
aou + silicate	Atlantic	(27.5,27.75]	0.6569164	0.6409477	0.6728851
aou + silicate	Atlantic	(27.75,27.85]	0.8345738	0.8228592	0.8462885
aou + silicate	Atlantic	(27.85,27.95]	0.8857157	0.8853920	0.8860395
aou + silicate	Atlantic	(27.95,28.05]	0.9327605	0.9324385	0.9330825
aou + silicate	Atlantic	(28.05,28.1]	0.9558036	0.9493878	0.9622195
aou + silicate	Atlantic	(28.1,28.15]	0.9762411	0.9722465	0.9802357
aou + silicate	Atlantic	(28.15,28.2]	0.9869598	0.9808855	0.9930340
aou + silicate	Atlantic	(28.2, Inf]	0.8719014	0.8667673	0.8770355
aou + silicate	Indo-Pacific	(-Inf,26]	0.7449602	0.6846076	0.8053128
aou + silicate	Indo-Pacific	(26,26.5]	0.7137129	0.6765687	0.7508570
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7070757	0.6832199	0.7309315
aou + silicate	Indo-Pacific	(26.75,27]	0.7721856	0.7691946	0.7751766
aou + silicate	Indo-Pacific	(27,27.25]	0.8782635	0.8504644	0.9060627
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9043426	0.8731056	0.9355795
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9144016	0.8789679	0.9498352
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9644072	0.9564456	0.9723688
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9609167	0.9552792	0.9665543
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9475431	0.9430911	0.9519952
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9504874	0.9457209	0.9552539
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6222870	0.6074618	0.6371123
nitrate + phosphate	Atlantic	(-Inf,26]	0.7042286	0.6555861	0.7528712
nitrate + phosphate	Atlantic	(26,26.5]	0.9086910	0.9059071	0.9114750
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9770582	0.9739323	0.9801842
nitrate + phosphate	Atlantic	(26.75,27]	0.9838202	0.9825834	0.9850570
nitrate + phosphate	Atlantic	(27,27.25]	0.9907079	0.9906287	0.9907870
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9925385	0.9923084	0.9927685
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9929931	0.9923853	0.9936009
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9934243	0.9928549	0.9939937
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9903504	0.9900854	0.9906154
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9901118	0.9889872	0.9912363
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9906954	0.9900625	0.9913284
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9953782	0.9946654	0.9960910
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9965974	0.9960497	0.9971451
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9921806	0.9888414	0.9955198
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9666275	0.9582759	0.9749791
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9547533	0.9496673	0.9598392
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9637350	0.9590323	0.9684377
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9829639	0.9771290	0.9887988
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9830096	0.9743928	0.9916264
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9810855	0.9692477	0.9929233
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9740898	0.9572587	0.9909209
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9736878	0.9566091	0.9907666
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9774068	0.9646520	0.9901617
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9749816	0.9663594	0.9836038
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9717915	0.9616682	0.9819149
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9147141	0.8742909	0.9551373
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1702576	-0.0503801	0.3908953
nitrate + phosphate_star	Atlantic	(26,26.5]	0.6222044	0.5873410	0.6570677
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.7355225	0.7099144	0.7611306
nitrate + phosphate_star	Atlantic	(26.75,27]	0.6235255	0.6170169	0.6300341
nitrate + phosphate_star	Atlantic	(27,27.25]	0.7419358	0.7243886	0.7594830
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7876576	0.7835595	0.7917558
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8757645	0.8748664	0.8766626
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8824361	0.8723325	0.8925396
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8461020	0.8321401	0.8600639
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.8952280	0.8734297	0.9170263
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9357154	0.9293650	0.9420659
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9603772	0.9571372	0.9636173
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9766668	0.9661282	0.9872054
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9060672	0.8886652	0.9234692
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8385702	0.8279155	0.8492248
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.7992317	0.7615706	0.8368929
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7396870	0.6970946	0.7822794
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6477144	0.5845512	0.7108775
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.2893647	0.2273980	0.3513313
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1594384	-0.2343767	-0.0845001
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3284219	-0.4262605	-0.2305833
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2601366	-0.3326546	-0.1876186
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0623560	0.0154165	0.1092955
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4503862	0.4269555	0.4738168
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5703319	0.5294357	0.6112282
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0656864	-0.1296904	-0.0016824
nitrate + silicate	Atlantic	(-Inf,26]	0.5553978	0.4440682	0.6667275
nitrate + silicate	Atlantic	(26,26.5]	0.8248913	0.8099049	0.8398776
nitrate + silicate	Atlantic	(26.5,26.75]	0.9314385	0.8962347	0.9666424
nitrate + silicate	Atlantic	(26.75,27]	0.9423873	0.9235010	0.9612737
nitrate + silicate	Atlantic	(27,27.25]	0.9537491	0.9439897	0.9635085
nitrate + silicate	Atlantic	(27.25,27.5]	0.9069605	0.8973318	0.9165892
nitrate + silicate	Atlantic	(27.5,27.75]	0.8887054	0.8856390	0.8917718
nitrate + silicate	Atlantic	(27.75,27.85]	0.9451213	0.9359557	0.9542870
nitrate + silicate	Atlantic	(27.85,27.95]	0.9680212	0.9638820	0.9721605
nitrate + silicate	Atlantic	(27.95,28.05]	0.9803678	0.9780556	0.9826801
nitrate + silicate	Atlantic	(28.05,28.1]	0.9875971	0.9866564	0.9885378
nitrate + silicate	Atlantic	(28.1,28.15]	0.9916148	0.9909163	0.9923132
nitrate + silicate	Atlantic	(28.15,28.2]	0.9924874	0.9895997	0.9953752
nitrate + silicate	Atlantic	(28.2, Inf]	0.9761495	0.9761019	0.9761971
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8742385	0.8665577	0.8819194
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8457195	0.8325595	0.8588796
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8406264	0.8369739	0.8442788
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8579369	0.8559437	0.8599301
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8979868	0.8754209	0.9205526
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8792617	0.8409647	0.9175587
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.8786687	0.8383035	0.9190338
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9383011	0.9195204	0.9570818
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9515773	0.9394730	0.9636815
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9411545	0.9363923	0.9459167
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9497492	0.9461646	0.9533339
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7749643	0.7499394	0.7999892
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.7724733	0.6753874	0.8695592
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8651736	0.8441640	0.8861832
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8529210	0.8408747	0.8649672
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7387054	0.7361231	0.7412876
phosphate + phosphate_star	Atlantic	(27,27.25]	0.8077521	0.7901240	0.8253801
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8397610	0.8395609	0.8399612
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9089925	0.9057805	0.9122046
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9110412	0.8999775	0.9221050
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8759202	0.8654813	0.8863591
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9189124	0.9009505	0.9368743
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9574367	0.9500871	0.9647864
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9736195	0.9675731	0.9796659
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9832439	0.9717757	0.9947120
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9183628	0.9047358	0.9319898
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8505190	0.8344953	0.8665426
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8148419	0.7939480	0.8357357
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7578186	0.7222097	0.7934275
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.6613192	0.5919846	0.7306537
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.2816970	0.1981683	0.3652258
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2207219	-0.2428100	-0.1986339
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4006657	-0.4481199	-0.3532115
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2762408	-0.3272559	-0.2252257
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0934307	0.0353929	0.1514684
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4942657	0.4589182	0.5296133
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6295648	0.6075674	0.6515623
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0229494	-0.0010270	0.0469259
sal + aou	Atlantic	(-Inf,26]	-0.0066927	-0.3310034	0.3176179
sal + aou	Atlantic	(26,26.5]	-0.1485608	-0.2192144	-0.0779072
sal + aou	Atlantic	(26.5,26.75]	-0.4178767	-0.4775203	-0.3582331
sal + aou	Atlantic	(26.75,27]	-0.2510479	-0.2609617	-0.2411340
sal + aou	Atlantic	(27,27.25]	-0.4032357	-0.4840707	-0.3224007
sal + aou	Atlantic	(27.25,27.5]	-0.2789104	-0.3389581	-0.2188627
sal + aou	Atlantic	(27.5,27.75]	-0.4162741	-0.4619255	-0.3706228
sal + aou	Atlantic	(27.75,27.85]	-0.4124169	-0.4374660	-0.3873678
sal + aou	Atlantic	(27.85,27.95]	-0.2922452	-0.3331403	-0.2513501
sal + aou	Atlantic	(27.95,28.05]	-0.4304502	-0.5869700	-0.2739304
sal + aou	Atlantic	(28.05,28.1]	-0.6794833	-0.7197788	-0.6391878
sal + aou	Atlantic	(28.1,28.15]	-0.8084980	-0.8462517	-0.7707442
sal + aou	Atlantic	(28.15,28.2]	-0.8832641	-0.9569747	-0.8095536
sal + aou	Atlantic	(28.2, Inf]	-0.6154453	-0.6421683	-0.5887224
sal + aou	Indo-Pacific	(-Inf,26]	-0.0791842	-0.1118214	-0.0465471
sal + aou	Indo-Pacific	(26,26.5]	-0.1264246	-0.2528783	0.0000291
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1980813	-0.3530823	-0.0430802
sal + aou	Indo-Pacific	(26.75,27]	-0.1600901	-0.3470643	0.0268841
sal + aou	Indo-Pacific	(27,27.25]	0.0363511	-0.1665757	0.2392779
sal + aou	Indo-Pacific	(27.25,27.5]	0.2116112	0.0715159	0.3517065
sal + aou	Indo-Pacific	(27.5,27.75]	0.1530431	-0.0105115	0.3165978
sal + aou	Indo-Pacific	(27.75,27.85]	-0.0251775	-0.1949145	0.1445594
sal + aou	Indo-Pacific	(27.85,27.95]	-0.1681145	-0.2749154	-0.0613135
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3071621	-0.3811630	-0.2331611
sal + aou	Indo-Pacific	(28.05,28.1]	-0.3336508	-0.4201112	-0.2471903
sal + aou	Indo-Pacific	(28.1, Inf]	0.4145177	0.3448063	0.4842292
sal + nitrate	Atlantic	(-Inf,26]	-0.1344682	-0.3308324	0.0618959
sal + nitrate	Atlantic	(26,26.5]	-0.4698631	-0.4951784	-0.4445477
sal + nitrate	Atlantic	(26.5,26.75]	-0.6301596	-0.6499939	-0.6103252
sal + nitrate	Atlantic	(26.75,27]	-0.5671463	-0.5773428	-0.5569498
sal + nitrate	Atlantic	(27,27.25]	-0.7422126	-0.7663378	-0.7180874
sal + nitrate	Atlantic	(27.25,27.5]	-0.7656855	-0.7683453	-0.7630257
sal + nitrate	Atlantic	(27.5,27.75]	-0.7479786	-0.7637252	-0.7322320
sal + nitrate	Atlantic	(27.75,27.85]	-0.6402786	-0.6552035	-0.6253538
sal + nitrate	Atlantic	(27.85,27.95]	-0.5252132	-0.5655626	-0.4848637
sal + nitrate	Atlantic	(27.95,28.05]	-0.6347103	-0.7653270	-0.5040936
sal + nitrate	Atlantic	(28.05,28.1]	-0.8172410	-0.8172867	-0.8171954
sal + nitrate	Atlantic	(28.1,28.15]	-0.8884255	-0.8940709	-0.8827802
sal + nitrate	Atlantic	(28.15,28.2]	-0.9323632	-0.9559398	-0.9087865
sal + nitrate	Atlantic	(28.2, Inf]	-0.9189726	-0.9250128	-0.9129323
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3223316	-0.3507740	-0.2938892
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4165378	-0.5668561	-0.2662195
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4717696	-0.6336409	-0.3098983
sal + nitrate	Indo-Pacific	(26.75,27]	-0.4275221	-0.5867508	-0.2682933
sal + nitrate	Indo-Pacific	(27,27.25]	-0.1912428	-0.3355055	-0.0469800
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0077358	-0.0319473	0.0164757
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.0669099	-0.1130732	-0.0207466
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.1992293	-0.2918179	-0.1066408
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.3248005	-0.3990697	-0.2505312
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.4966371	-0.5471209	-0.4461534
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.5522945	-0.6149204	-0.4896687
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.0636523	-0.1617929	0.0344883
sal + phosphate	Atlantic	(-Inf,26]	-0.6390622	-0.7613570	-0.5167673
sal + phosphate	Atlantic	(26,26.5]	-0.7591433	-0.7721372	-0.7461493
sal + phosphate	Atlantic	(26.5,26.75]	-0.7661444	-0.7731215	-0.7591672
sal + phosphate	Atlantic	(26.75,27]	-0.6891302	-0.6957328	-0.6825275
sal + phosphate	Atlantic	(27,27.25]	-0.8032593	-0.8250892	-0.7814294
sal + phosphate	Atlantic	(27.25,27.5]	-0.8151137	-0.8175939	-0.8126335
sal + phosphate	Atlantic	(27.5,27.75]	-0.7871939	-0.8065617	-0.7678262
sal + phosphate	Atlantic	(27.75,27.85]	-0.6772015	-0.6974275	-0.6569756
sal + phosphate	Atlantic	(27.85,27.95]	-0.5455465	-0.5804132	-0.5106799
sal + phosphate	Atlantic	(27.95,28.05]	-0.6442412	-0.7759845	-0.5124980
sal + phosphate	Atlantic	(28.05,28.1]	-0.8295385	-0.8333731	-0.8257039
sal + phosphate	Atlantic	(28.1,28.15]	-0.9005233	-0.9071711	-0.8938755
sal + phosphate	Atlantic	(28.15,28.2]	-0.9339877	-0.9537685	-0.9142069
sal + phosphate	Atlantic	(28.2, Inf]	-0.9215410	-0.9284374	-0.9146446
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1839573	-0.1911930	-0.1767215
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3480641	-0.4929337	-0.2031946
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.4269763	-0.5967151	-0.2572375
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4140595	-0.5992923	-0.2288266
sal + phosphate	Indo-Pacific	(27,27.25]	-0.1570089	-0.3458345	0.0318167
sal + phosphate	Indo-Pacific	(27.25,27.5]	0.0786063	-0.0145456	0.1717583
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.0587243	-0.0645469	0.1819954
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.0773693	-0.2389798	0.0842411
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.2448421	-0.3654132	-0.1242711
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.4544952	-0.5318193	-0.3771712
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.5335196	-0.6034849	-0.4635543
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.0722958	-0.1509019	0.0063102
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8833366	-0.8964955	-0.8701778
sal + phosphate_star	Atlantic	(26,26.5]	-0.9595100	-0.9597314	-0.9592886
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9746616	-0.9755540	-0.9737692
sal + phosphate_star	Atlantic	(26.75,27]	-0.9800268	-0.9831795	-0.9768741
sal + phosphate_star	Atlantic	(27,27.25]	-0.9816068	-0.9816802	-0.9815334
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9744554	-0.9748787	-0.9740321
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9318477	-0.9400240	-0.9236713
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8807901	-0.8860640	-0.8755162
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8305259	-0.8340145	-0.8270373
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8416292	-0.9030223	-0.7802360
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9190835	-0.9344928	-0.9036741
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9544636	-0.9592393	-0.9496880
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9607605	-0.9683097	-0.9532114
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9758971	-0.9765798	-0.9752144
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4868631	-0.5000059	-0.4737204
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7569106	-0.8295443	-0.6842768
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8509503	-0.9151873	-0.7867132
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8891618	-0.9311290	-0.8471946
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8466178	-0.8470475	-0.8461881
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7173550	-0.8287477	-0.6059624
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5785609	-0.7489494	-0.4081724
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4876367	-0.5889074	-0.3863660
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5535044	-0.5917976	-0.5152111
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7428368	-0.7934100	-0.6922636
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8286478	-0.8691718	-0.7881238
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.7546938	-0.8116822	-0.6977054
sal + silicate	Atlantic	(-Inf,26]	-0.6905372	-0.7077859	-0.6732885
sal + silicate	Atlantic	(26,26.5]	-0.6911316	-0.6922904	-0.6899728
sal + silicate	Atlantic	(26.5,26.75]	-0.6942433	-0.7034243	-0.6850623
sal + silicate	Atlantic	(26.75,27]	-0.5831943	-0.5889254	-0.5774632
sal + silicate	Atlantic	(27,27.25]	-0.7512774	-0.7699263	-0.7326286
sal + silicate	Atlantic	(27.25,27.5]	-0.8088300	-0.8281266	-0.7895333
sal + silicate	Atlantic	(27.5,27.75]	-0.7525790	-0.7626255	-0.7425326
sal + silicate	Atlantic	(27.75,27.85]	-0.6876237	-0.6967083	-0.6785390
sal + silicate	Atlantic	(27.85,27.95]	-0.6288751	-0.6560926	-0.6016577
sal + silicate	Atlantic	(27.95,28.05]	-0.6790662	-0.8015470	-0.5565854
sal + silicate	Atlantic	(28.05,28.1]	-0.8356501	-0.8491836	-0.8221166
sal + silicate	Atlantic	(28.1,28.15]	-0.8923068	-0.9111017	-0.8735120
sal + silicate	Atlantic	(28.15,28.2]	-0.9116056	-0.9554133	-0.8677980
sal + silicate	Atlantic	(28.2, Inf]	-0.8783026	-0.8846868	-0.8719184
sal + silicate	Indo-Pacific	(-Inf,26]	-0.4754318	-0.5450412	-0.4058225
sal + silicate	Indo-Pacific	(26,26.5]	-0.5238375	-0.6692100	-0.3784649
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6543477	-0.8043726	-0.5043228
sal + silicate	Indo-Pacific	(26.75,27]	-0.6138965	-0.7612920	-0.4665010
sal + silicate	Indo-Pacific	(27,27.25]	-0.3310997	-0.4915336	-0.1706658
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.0560432	-0.1555497	0.0434632
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0121863	-0.0801994	0.0558267
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.1139799	-0.2480024	0.0200427
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.2328684	-0.3283857	-0.1373512
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.3817561	-0.4399971	-0.3235150
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.4482426	-0.5064619	-0.3900233
sal + silicate	Indo-Pacific	(28.1, Inf]	0.0043773	-0.0625190	0.0712736
sal + temp	Atlantic	(-Inf,26]	0.9032057	0.8591490	0.9472625
sal + temp	Atlantic	(26,26.5]	0.9639765	0.9607020	0.9672511
sal + temp	Atlantic	(26.5,26.75]	0.9892338	0.9883162	0.9901514
sal + temp	Atlantic	(26.75,27]	0.9807950	0.9791933	0.9823967
sal + temp	Atlantic	(27,27.25]	0.9801602	0.9783521	0.9819684
sal + temp	Atlantic	(27.25,27.5]	0.9765385	0.9765370	0.9765400
sal + temp	Atlantic	(27.5,27.75]	0.9711758	0.9710684	0.9712832
sal + temp	Atlantic	(27.75,27.85]	0.9812712	0.9806942	0.9818483
sal + temp	Atlantic	(27.85,27.95]	0.9451851	0.9419086	0.9484616
sal + temp	Atlantic	(27.95,28.05]	0.8938013	0.8619969	0.9256058
sal + temp	Atlantic	(28.05,28.1]	0.9587290	0.9506540	0.9668040
sal + temp	Atlantic	(28.1,28.15]	0.9587967	0.9537117	0.9638817
sal + temp	Atlantic	(28.15,28.2]	0.8863044	0.8826848	0.8899239
sal + temp	Atlantic	(28.2, Inf]	0.2191522	0.2151571	0.2231473
sal + temp	Indo-Pacific	(-Inf,26]	0.7644525	0.7152500	0.8136551
sal + temp	Indo-Pacific	(26,26.5]	0.9451985	0.9439857	0.9464113
sal + temp	Indo-Pacific	(26.5,26.75]	0.9816925	0.9805172	0.9828679
sal + temp	Indo-Pacific	(26.75,27]	0.9786719	0.9780039	0.9793398
sal + temp	Indo-Pacific	(27,27.25]	0.9550574	0.9449532	0.9651616
sal + temp	Indo-Pacific	(27.25,27.5]	0.9006865	0.8531872	0.9481857
sal + temp	Indo-Pacific	(27.5,27.75]	0.7967037	0.6895737	0.9038337
sal + temp	Indo-Pacific	(27.75,27.85]	0.8870091	0.8380182	0.9360000
sal + temp	Indo-Pacific	(27.85,27.95]	0.8175622	0.7802902	0.8548342
sal + temp	Indo-Pacific	(27.95,28.05]	0.7623771	0.7290786	0.7956757
sal + temp	Indo-Pacific	(28.05,28.1]	0.7423630	0.7153596	0.7693665
sal + temp	Indo-Pacific	(28.1, Inf]	0.6739504	0.6660755	0.6818253
silicate + phosphate	Atlantic	(-Inf,26]	0.7091460	0.6730901	0.7452019
silicate + phosphate	Atlantic	(26,26.5]	0.8970332	0.8895051	0.9045612
silicate + phosphate	Atlantic	(26.5,26.75]	0.9375101	0.9054373	0.9695829
silicate + phosphate	Atlantic	(26.75,27]	0.9429231	0.9252292	0.9606170
silicate + phosphate	Atlantic	(27,27.25]	0.9590818	0.9532061	0.9649575
silicate + phosphate	Atlantic	(27.25,27.5]	0.9254864	0.9190765	0.9318963
silicate + phosphate	Atlantic	(27.5,27.75]	0.9023268	0.8993301	0.9053235
silicate + phosphate	Atlantic	(27.75,27.85]	0.9492781	0.9406765	0.9578797
silicate + phosphate	Atlantic	(27.85,27.95]	0.9685952	0.9646393	0.9725512
silicate + phosphate	Atlantic	(27.95,28.05]	0.9790901	0.9760537	0.9821266
silicate + phosphate	Atlantic	(28.05,28.1]	0.9859774	0.9850457	0.9869090
silicate + phosphate	Atlantic	(28.1,28.15]	0.9927889	0.9917023	0.9938755
silicate + phosphate	Atlantic	(28.15,28.2]	0.9912516	0.9877230	0.9947801
silicate + phosphate	Atlantic	(28.2, Inf]	0.9775702	0.9753987	0.9797417
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7871863	0.7568127	0.8175599
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7983228	0.7765268	0.8201188
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8146810	0.8095545	0.8198075
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8647395	0.8617150	0.8677639
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9091791	0.8891849	0.9291732
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8936621	0.8632436	0.9240807
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8860471	0.8490091	0.9230851
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9467082	0.9322741	0.9611422
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9600926	0.9500647	0.9701206
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9551428	0.9474291	0.9628565
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9530182	0.9451238	0.9609126
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7495578	0.7107836	0.7883319
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6284438	0.6035773	0.6533103
silicate + phosphate_star	Atlantic	(26,26.5]	0.7766167	0.7731429	0.7800905
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7799756	0.7580759	0.8018753
silicate + phosphate_star	Atlantic	(26.75,27]	0.6391754	0.6288812	0.6494695
silicate + phosphate_star	Atlantic	(27,27.25]	0.7570050	0.7414824	0.7725275
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8545424	0.8351072	0.8739775
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9026461	0.9008609	0.9044314
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9146225	0.9100246	0.9192203
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.8996151	0.8898283	0.9094019
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9054047	0.8850966	0.9257127
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9346536	0.9209122	0.9483949
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9579134	0.9446100	0.9712169
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9615894	0.9366052	0.9865736
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8695683	0.8561796	0.8829571
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7423533	0.7402853	0.7444213
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7789776	0.7676876	0.7902676
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8091537	0.7799131	0.8383943
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7273687	0.6889800	0.7657573
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.3174201	0.2624245	0.3724156
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2496594	-0.2776041	-0.2217148
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4496792	-0.5245133	-0.3748451
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3747789	-0.4057893	-0.3437686
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0229791	-0.0114146	0.0573728
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4136471	0.3981276	0.4291666
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5030291	0.4549688	0.5510893
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0250936	-0.1722172	0.1220300
temp + aou	Atlantic	(-Inf,26]	-0.0248818	-0.3425090	0.2927454
temp + aou	Atlantic	(26,26.5]	-0.1709307	-0.2310613	-0.1108001
temp + aou	Atlantic	(26.5,26.75]	-0.4297784	-0.4917652	-0.3677917
temp + aou	Atlantic	(26.75,27]	-0.2336238	-0.2472409	-0.2200068
temp + aou	Atlantic	(27,27.25]	-0.3346561	-0.4098000	-0.2595122
temp + aou	Atlantic	(27.25,27.5]	-0.2419668	-0.3084058	-0.1755278
temp + aou	Atlantic	(27.5,27.75]	-0.3953570	-0.4572441	-0.3334699
temp + aou	Atlantic	(27.75,27.85]	-0.4118138	-0.4324787	-0.3911489
temp + aou	Atlantic	(27.85,27.95]	-0.2435110	-0.3270612	-0.1599608
temp + aou	Atlantic	(27.95,28.05]	-0.4426099	-0.5110259	-0.3741939
temp + aou	Atlantic	(28.05,28.1]	-0.5347909	-0.5741921	-0.4953898
temp + aou	Atlantic	(28.1,28.15]	-0.6526164	-0.6878409	-0.6173919
temp + aou	Atlantic	(28.15,28.2]	-0.6336004	-0.7558611	-0.5113398
temp + aou	Atlantic	(28.2, Inf]	0.4580827	0.4223432	0.4938223
temp + aou	Indo-Pacific	(-Inf,26]	-0.2193620	-0.2286977	-0.2100262
temp + aou	Indo-Pacific	(26,26.5]	-0.1822966	-0.3115845	-0.0530087
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1745484	-0.3228051	-0.0262917
temp + aou	Indo-Pacific	(26.75,27]	-0.1803090	-0.3431448	-0.0174732
temp + aou	Indo-Pacific	(27,27.25]	-0.0256038	-0.2086908	0.1574832
temp + aou	Indo-Pacific	(27.25,27.5]	0.1739044	0.0140286	0.3337803
temp + aou	Indo-Pacific	(27.5,27.75]	0.2034686	0.0474273	0.3595100
temp + aou	Indo-Pacific	(27.75,27.85]	0.1131229	-0.0087174	0.2349633
temp + aou	Indo-Pacific	(27.85,27.95]	0.0770754	0.0301272	0.1240237
temp + aou	Indo-Pacific	(27.95,28.05]	0.1020904	0.0866506	0.1175302
temp + aou	Indo-Pacific	(28.05,28.1]	0.2397697	0.2101911	0.2693483
temp + aou	Indo-Pacific	(28.1, Inf]	0.8395438	0.8192407	0.8598469
temp + nitrate	Atlantic	(-Inf,26]	-0.1048733	-0.2709976	0.0612511
temp + nitrate	Atlantic	(26,26.5]	-0.5259840	-0.5431378	-0.5088302
temp + nitrate	Atlantic	(26.5,26.75]	-0.6461440	-0.6691995	-0.6230884
temp + nitrate	Atlantic	(26.75,27]	-0.5592283	-0.5648846	-0.5535720
temp + nitrate	Atlantic	(27,27.25]	-0.6953236	-0.7159147	-0.6747325
temp + nitrate	Atlantic	(27.25,27.5]	-0.7401513	-0.7405115	-0.7397911
temp + nitrate	Atlantic	(27.5,27.75]	-0.7322409	-0.7559759	-0.7085059
temp + nitrate	Atlantic	(27.75,27.85]	-0.6499176	-0.6629414	-0.6368938
temp + nitrate	Atlantic	(27.85,27.95]	-0.4832272	-0.5625867	-0.4038677
temp + nitrate	Atlantic	(27.95,28.05]	-0.6152035	-0.6931189	-0.5372882
temp + nitrate	Atlantic	(28.05,28.1]	-0.7006742	-0.7109838	-0.6903645
temp + nitrate	Atlantic	(28.1,28.15]	-0.7562965	-0.7589468	-0.7536462
temp + nitrate	Atlantic	(28.15,28.2]	-0.7025294	-0.7513614	-0.6536974
temp + nitrate	Atlantic	(28.2, Inf]	0.0939628	0.0594812	0.1284445
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.4605479	-0.5528861	-0.3682097
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4752566	-0.6289619	-0.3215514
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4593413	-0.6174200	-0.3012626
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4606669	-0.6004827	-0.3208512
temp + nitrate	Indo-Pacific	(27,27.25]	-0.2756233	-0.4073134	-0.1439333
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.0727692	-0.1286644	-0.0168740
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0164111	-0.0630547	0.0302325
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0548549	-0.1012467	-0.0084630
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.0717487	-0.0897402	-0.0537571
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0944385	-0.1021004	-0.0867767
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0117089	-0.0056441	0.0290618
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.3834254	0.3707139	0.3961368
temp + phosphate	Atlantic	(-Inf,26]	-0.5546986	-0.6413374	-0.4680597
temp + phosphate	Atlantic	(26,26.5]	-0.7562729	-0.7593469	-0.7531989
temp + phosphate	Atlantic	(26.5,26.75]	-0.7721394	-0.7817243	-0.7625544
temp + phosphate	Atlantic	(26.75,27]	-0.6737030	-0.6775627	-0.6698432
temp + phosphate	Atlantic	(27,27.25]	-0.7564140	-0.7747620	-0.7380660
temp + phosphate	Atlantic	(27.25,27.5]	-0.7929975	-0.7979462	-0.7880488
temp + phosphate	Atlantic	(27.5,27.75]	-0.7723840	-0.7991045	-0.7456634
temp + phosphate	Atlantic	(27.75,27.85]	-0.6856437	-0.7035091	-0.6677783
temp + phosphate	Atlantic	(27.85,27.95]	-0.5028706	-0.5756083	-0.4301329
temp + phosphate	Atlantic	(27.95,28.05]	-0.6264587	-0.7056125	-0.5473049
temp + phosphate	Atlantic	(28.05,28.1]	-0.7146313	-0.7296192	-0.6996434
temp + phosphate	Atlantic	(28.1,28.15]	-0.7732976	-0.7744226	-0.7721727
temp + phosphate	Atlantic	(28.15,28.2]	-0.7048086	-0.7455609	-0.6640563
temp + phosphate	Atlantic	(28.2, Inf]	0.0842961	0.0488371	0.1197551
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.3716544	-0.4478231	-0.2954857
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4138853	-0.5615312	-0.2662393
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.4153631	-0.5800852	-0.2506411
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4478148	-0.6076151	-0.2880145
temp + phosphate	Indo-Pacific	(27,27.25]	-0.2409735	-0.4085543	-0.0733927
temp + phosphate	Indo-Pacific	(27.25,27.5]	0.0124523	-0.1051415	0.1300461
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.1038484	-0.0113293	0.2190261
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.0570102	-0.0536310	0.1676514
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0059579	-0.0618831	0.0499674
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0617932	-0.0722068	-0.0513796
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0212174	0.0126919	0.0297430
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.3719255	0.3316788	0.4121721
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7986029	-0.8213399	-0.7758658
temp + phosphate_star	Atlantic	(26,26.5]	-0.9506345	-0.9621318	-0.9391372
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9756129	-0.9780177	-0.9732081
temp + phosphate_star	Atlantic	(26.75,27]	-0.9790734	-0.9813983	-0.9767484
temp + phosphate_star	Atlantic	(27,27.25]	-0.9803872	-0.9804543	-0.9803201
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9777742	-0.9791986	-0.9763498
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9323148	-0.9401382	-0.9244915
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8981182	-0.9030861	-0.8931503
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8170921	-0.8423764	-0.7918078
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8131766	-0.8659330	-0.7604202
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8508725	-0.8830190	-0.8187261
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8687836	-0.8849642	-0.8526029
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.7740405	-0.7886750	-0.7594060
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.2521870	-0.2571813	-0.2471928
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7108138	-0.7914611	-0.6301666
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8260430	-0.8978063	-0.7542798
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8670634	-0.9280722	-0.8060546
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9325509	-0.9588435	-0.9062583
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9262321	-0.9284189	-0.9240453
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8196231	-0.8967610	-0.7424852
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6872351	-0.8165040	-0.5579662
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5906070	-0.6582822	-0.5229317
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6412975	-0.6909225	-0.5916724
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6971457	-0.7265688	-0.6677226
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6083500	-0.6223657	-0.5943344
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8718866	-0.9106818	-0.8330914
temp + silicate	Atlantic	(-Inf,26]	-0.6015246	-0.6565545	-0.5464948
temp + silicate	Atlantic	(26,26.5]	-0.6819736	-0.7004084	-0.6635388
temp + silicate	Atlantic	(26.5,26.75]	-0.7110079	-0.7169968	-0.7050189
temp + silicate	Atlantic	(26.75,27]	-0.5872722	-0.5947075	-0.5798368
temp + silicate	Atlantic	(27,27.25]	-0.7222252	-0.7391557	-0.7052947
temp + silicate	Atlantic	(27.25,27.5]	-0.8369432	-0.8509218	-0.8229647
temp + silicate	Atlantic	(27.5,27.75]	-0.7935957	-0.8078675	-0.7793240
temp + silicate	Atlantic	(27.75,27.85]	-0.7220677	-0.7321601	-0.7119753
temp + silicate	Atlantic	(27.85,27.95]	-0.6079800	-0.6689827	-0.5469772
temp + silicate	Atlantic	(27.95,28.05]	-0.6944242	-0.7550848	-0.6337637
temp + silicate	Atlantic	(28.05,28.1]	-0.7246638	-0.7344857	-0.7148419
temp + silicate	Atlantic	(28.1,28.15]	-0.7627275	-0.7779063	-0.7475486
temp + silicate	Atlantic	(28.15,28.2]	-0.6705341	-0.7513833	-0.5896849
temp + silicate	Atlantic	(28.2, Inf]	0.1362996	0.1114926	0.1611065
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5172397	-0.6221297	-0.4123497
temp + silicate	Indo-Pacific	(26,26.5]	-0.5656893	-0.7067594	-0.4246193
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6526446	-0.7977253	-0.5075640
temp + silicate	Indo-Pacific	(26.75,27]	-0.6352666	-0.7549326	-0.5156006
temp + silicate	Indo-Pacific	(27,27.25]	-0.3928719	-0.5247409	-0.2610030
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.1390451	-0.2565514	-0.0215388
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.0833179	-0.1704569	0.0038211
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.0282734	-0.1302150	0.0736682
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.0699497	-0.1142154	-0.0256840
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0875223	-0.0966307	-0.0784139
temp + silicate	Indo-Pacific	(28.05,28.1]	0.0980771	0.0849699	0.1111842
temp + silicate	Indo-Pacific	(28.1, Inf]	0.2957021	0.2046432	0.3867610

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
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	Atlantic	(-Inf,26]	0.5534919	0.5403772	0.5666066
aou	Atlantic	(26,26.5]	0.0398101	-0.0685027	0.1481230
aou	Atlantic	(26.5,26.75]	-0.3531623	-0.3791895	-0.3271350
aou	Atlantic	(26.75,27]	-0.3101788	-0.3767977	-0.2435599
aou	Atlantic	(27,27.25]	-0.5411672	-0.5565077	-0.5258266
aou	Atlantic	(27.25,27.5]	-0.4975770	-0.5048455	-0.4903086
aou	Atlantic	(27.5,27.75]	-0.7469103	-0.7546539	-0.7391667
aou	Atlantic	(27.75,27.85]	-0.8873027	-0.8901984	-0.8844069
aou	Atlantic	(27.85,27.95]	-0.8976482	-0.9010827	-0.8942136
aou	Atlantic	(27.95,28.05]	-0.8613655	-0.8707193	-0.8520117
aou	Atlantic	(28.05,28.1]	-0.8269924	-0.8345699	-0.8194149
aou	Atlantic	(28.1,28.15]	-0.8735830	-0.8933281	-0.8538379
aou	Atlantic	(28.15,28.2]	-0.9289102	-0.9298362	-0.9279841
aou	Atlantic	(28.2, Inf]	-0.7239267	-0.7569176	-0.6909358
aou	Indo-Pacific	(-Inf,26]	-0.2315791	-0.3650180	-0.0981402
aou	Indo-Pacific	(26,26.5]	-0.7017381	-0.7132735	-0.6902027
aou	Indo-Pacific	(26.5,26.75]	-0.7289756	-0.7418511	-0.7161002
aou	Indo-Pacific	(26.75,27]	-0.6534268	-0.6993359	-0.6075177
aou	Indo-Pacific	(27,27.25]	0.0555844	0.0087956	0.1023731
aou	Indo-Pacific	(27.25,27.5]	0.5606036	0.4853105	0.6358968
aou	Indo-Pacific	(27.5,27.75]	0.6723772	0.5853521	0.7594024
aou	Indo-Pacific	(27.75,27.85]	0.7244342	0.6470416	0.8018269
aou	Indo-Pacific	(27.85,27.95]	0.6550316	0.5688163	0.7412469
aou	Indo-Pacific	(27.95,28.05]	0.3993007	0.3269309	0.4716704
aou	Indo-Pacific	(28.05,28.1]	0.1828752	0.1662005	0.1995498
aou	Indo-Pacific	(28.1, Inf]	0.2129053	0.1541152	0.2716955
nitrate	Atlantic	(-Inf,26]	0.3142755	0.3103621	0.3181889
nitrate	Atlantic	(26,26.5]	-0.3090839	-0.3636810	-0.2544868
nitrate	Atlantic	(26.5,26.75]	-0.5496943	-0.5536734	-0.5457153
nitrate	Atlantic	(26.75,27]	-0.5987244	-0.6694490	-0.5279997
nitrate	Atlantic	(27,27.25]	-0.8237887	-0.8460435	-0.8015339
nitrate	Atlantic	(27.25,27.5]	-0.8968741	-0.9205163	-0.8732320
nitrate	Atlantic	(27.5,27.75]	-0.9580383	-0.9686521	-0.9474246
nitrate	Atlantic	(27.75,27.85]	-0.9562605	-0.9581534	-0.9543676
nitrate	Atlantic	(27.85,27.95]	-0.9183898	-0.9217548	-0.9150248
nitrate	Atlantic	(27.95,28.05]	-0.8939620	-0.8956453	-0.8922787
nitrate	Atlantic	(28.05,28.1]	-0.8737644	-0.8757003	-0.8718286
nitrate	Atlantic	(28.1,28.15]	-0.9088291	-0.9186642	-0.8989940
nitrate	Atlantic	(28.15,28.2]	-0.9600656	-0.9777356	-0.9423956
nitrate	Atlantic	(28.2, Inf]	-0.9491330	-0.9664706	-0.9317954
nitrate	Indo-Pacific	(-Inf,26]	-0.2649462	-0.4142278	-0.1156647
nitrate	Indo-Pacific	(26,26.5]	-0.7893633	-0.8327820	-0.7459445
nitrate	Indo-Pacific	(26.5,26.75]	-0.8370737	-0.8691289	-0.8050185
nitrate	Indo-Pacific	(26.75,27]	-0.7838595	-0.8378217	-0.7298973
nitrate	Indo-Pacific	(27,27.25]	-0.0386942	-0.0721548	-0.0052336
nitrate	Indo-Pacific	(27.25,27.5]	0.4845826	0.4007068	0.5684583
nitrate	Indo-Pacific	(27.5,27.75]	0.6278956	0.5670803	0.6887109
nitrate	Indo-Pacific	(27.75,27.85]	0.7072072	0.6580676	0.7563469
nitrate	Indo-Pacific	(27.85,27.95]	0.6206600	0.5599214	0.6813987
nitrate	Indo-Pacific	(27.95,28.05]	0.3219872	0.2693968	0.3745776
nitrate	Indo-Pacific	(28.05,28.1]	0.0747809	0.0735825	0.0759793
nitrate	Indo-Pacific	(28.1, Inf]	-0.0071709	-0.0215128	0.0071710
phosphate	Atlantic	(-Inf,26]	-0.0215983	-0.0995626	0.0563661
phosphate	Atlantic	(26,26.5]	-0.5606550	-0.6373072	-0.4840028
phosphate	Atlantic	(26.5,26.75]	-0.6726994	-0.6730880	-0.6723109
phosphate	Atlantic	(26.75,27]	-0.7114818	-0.7680950	-0.6548686
phosphate	Atlantic	(27,27.25]	-0.8812724	-0.8963253	-0.8662194
phosphate	Atlantic	(27.25,27.5]	-0.9332412	-0.9502641	-0.9162184
phosphate	Atlantic	(27.5,27.75]	-0.9764515	-0.9821121	-0.9707910
phosphate	Atlantic	(27.75,27.85]	-0.9715977	-0.9720106	-0.9711848
phosphate	Atlantic	(27.85,27.95]	-0.9399276	-0.9403375	-0.9395177
phosphate	Atlantic	(27.95,28.05]	-0.9152821	-0.9186528	-0.9119113
phosphate	Atlantic	(28.05,28.1]	-0.8936090	-0.8974246	-0.8897935
phosphate	Atlantic	(28.1,28.15]	-0.9185940	-0.9332415	-0.9039465
phosphate	Atlantic	(28.15,28.2]	-0.9674788	-0.9815277	-0.9534299
phosphate	Atlantic	(28.2, Inf]	-0.9608666	-0.9732465	-0.9484867
phosphate	Indo-Pacific	(-Inf,26]	-0.2600778	-0.4134423	-0.1067134
phosphate	Indo-Pacific	(26,26.5]	-0.8148180	-0.8453395	-0.7842965
phosphate	Indo-Pacific	(26.5,26.75]	-0.8611538	-0.8882863	-0.8340213
phosphate	Indo-Pacific	(26.75,27]	-0.7973987	-0.8498727	-0.7449247
phosphate	Indo-Pacific	(27,27.25]	-0.0520998	-0.0893095	-0.0148902
phosphate	Indo-Pacific	(27.25,27.5]	0.4748455	0.3860544	0.5636366
phosphate	Indo-Pacific	(27.5,27.75]	0.5844512	0.4940799	0.6748225
phosphate	Indo-Pacific	(27.75,27.85]	0.6360163	0.5449505	0.7270822
phosphate	Indo-Pacific	(27.85,27.95]	0.5463373	0.4444606	0.6482140
phosphate	Indo-Pacific	(27.95,28.05]	0.2395046	0.1557657	0.3232434
phosphate	Indo-Pacific	(28.05,28.1]	-0.0199736	-0.0353835	-0.0045637
phosphate	Indo-Pacific	(28.1, Inf]	-0.1680449	-0.2150263	-0.1210635
phosphate_star	Atlantic	(-Inf,26]	-0.3753785	-0.5108652	-0.2398918
phosphate_star	Atlantic	(26,26.5]	-0.7900203	-0.8475639	-0.7324767
phosphate_star	Atlantic	(26.5,26.75]	-0.8490222	-0.8809070	-0.8171374
phosphate_star	Atlantic	(26.75,27]	-0.9290009	-0.9295201	-0.9284816
phosphate_star	Atlantic	(27,27.25]	-0.9524506	-0.9613547	-0.9435466
phosphate_star	Atlantic	(27.25,27.5]	-0.9559837	-0.9655345	-0.9464329
phosphate_star	Atlantic	(27.5,27.75]	-0.9415613	-0.9540171	-0.9291055
phosphate_star	Atlantic	(27.75,27.85]	-0.8952930	-0.9105201	-0.8800660
phosphate_star	Atlantic	(27.85,27.95]	-0.7988977	-0.8024854	-0.7953100
phosphate_star	Atlantic	(27.95,28.05]	-0.8306450	-0.8522154	-0.8090746
phosphate_star	Atlantic	(28.05,28.1]	-0.8645505	-0.8812445	-0.8478565
phosphate_star	Atlantic	(28.1,28.15]	-0.9020031	-0.9241746	-0.8798316
phosphate_star	Atlantic	(28.15,28.2]	-0.9623611	-0.9696599	-0.9550624
phosphate_star	Atlantic	(28.2, Inf]	-0.9466020	-0.9626724	-0.9305317
phosphate_star	Indo-Pacific	(-Inf,26]	-0.1380049	-0.3157529	0.0397431
phosphate_star	Indo-Pacific	(26,26.5]	-0.8034753	-0.8491645	-0.7577862
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8523492	-0.8867279	-0.8179705
phosphate_star	Indo-Pacific	(26.75,27]	-0.7516192	-0.8151597	-0.6880787
phosphate_star	Indo-Pacific	(27,27.25]	-0.2739450	-0.3248100	-0.2230799
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3166161	-0.3494898	-0.2837424
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4326363	-0.5681262	-0.2971465
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4581852	-0.5558820	-0.3604883
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3309389	-0.3682662	-0.2936116
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3126194	-0.3149664	-0.3102724
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4314704	-0.4616492	-0.4012917
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4814198	-0.5796255	-0.3832142
sal	Atlantic	(-Inf,26]	0.2428467	0.1394940	0.3461994
sal	Atlantic	(26,26.5]	0.7407030	0.6512598	0.8301462
sal	Atlantic	(26.5,26.75]	0.8083372	0.7483566	0.8683177
sal	Atlantic	(26.75,27]	0.8952121	0.8911040	0.8993202
sal	Atlantic	(27,27.25]	0.9283508	0.9200967	0.9366050
sal	Atlantic	(27.25,27.5]	0.9255671	0.9182601	0.9328741
sal	Atlantic	(27.5,27.75]	0.8305747	0.8022025	0.8589469
sal	Atlantic	(27.75,27.85]	0.6673708	0.6388840	0.6958576
sal	Atlantic	(27.85,27.95]	0.4150616	0.3924047	0.4377185
sal	Atlantic	(27.95,28.05]	0.4685694	0.3260745	0.6110643
sal	Atlantic	(28.05,28.1]	0.6565706	0.6455012	0.6676400
sal	Atlantic	(28.1,28.15]	0.7735266	0.7563561	0.7906970
sal	Atlantic	(28.15,28.2]	0.8740572	0.8482112	0.8999031
sal	Atlantic	(28.2, Inf]	0.9223995	0.9071759	0.9376231
sal	Indo-Pacific	(-Inf,26]	0.0491668	0.0424376	0.0558959
sal	Indo-Pacific	(26,26.5]	0.4850950	0.3332501	0.6369398
sal	Indo-Pacific	(26.5,26.75]	0.5843392	0.4392757	0.7294028
sal	Indo-Pacific	(26.75,27]	0.5019505	0.3572392	0.6466618
sal	Indo-Pacific	(27,27.25]	-0.1102542	-0.1177000	-0.1028083
sal	Indo-Pacific	(27.25,27.5]	-0.2125935	-0.3297738	-0.0954131
sal	Indo-Pacific	(27.5,27.75]	-0.2076405	-0.2345555	-0.1807255
sal	Indo-Pacific	(27.75,27.85]	-0.3230025	-0.3363242	-0.3096808
sal	Indo-Pacific	(27.85,27.95]	-0.2950109	-0.3392185	-0.2508033
sal	Indo-Pacific	(27.95,28.05]	-0.0839508	-0.1458562	-0.0220453
sal	Indo-Pacific	(28.05,28.1]	0.1038275	0.0728327	0.1348223
sal	Indo-Pacific	(28.1, Inf]	0.2648732	0.2290441	0.3007023
silicate	Atlantic	(-Inf,26]	-0.0472791	-0.0722457	-0.0223124
silicate	Atlantic	(26,26.5]	-0.5054370	-0.5706655	-0.4402085
silicate	Atlantic	(26.5,26.75]	-0.5944391	-0.6142758	-0.5746024
silicate	Atlantic	(26.75,27]	-0.6177995	-0.6731488	-0.5624503
silicate	Atlantic	(27,27.25]	-0.8309575	-0.8498498	-0.8120653
silicate	Atlantic	(27.25,27.5]	-0.8926613	-0.9148169	-0.8705056
silicate	Atlantic	(27.5,27.75]	-0.8833692	-0.8839409	-0.8827975
silicate	Atlantic	(27.75,27.85]	-0.8896818	-0.8969811	-0.8823826
silicate	Atlantic	(27.85,27.95]	-0.8637064	-0.8718748	-0.8555379
silicate	Atlantic	(27.95,28.05]	-0.8562178	-0.8618430	-0.8505925
silicate	Atlantic	(28.05,28.1]	-0.8517483	-0.8529672	-0.8505295
silicate	Atlantic	(28.1,28.15]	-0.8981040	-0.9128324	-0.8833756
silicate	Atlantic	(28.15,28.2]	-0.9508157	-0.9619218	-0.9397096
silicate	Atlantic	(28.2, Inf]	-0.9189939	-0.9392370	-0.8987507
silicate	Indo-Pacific	(-Inf,26]	-0.2747817	-0.4206731	-0.1288903
silicate	Indo-Pacific	(26,26.5]	-0.7362369	-0.7390563	-0.7334175
silicate	Indo-Pacific	(26.5,26.75]	-0.7627426	-0.7686986	-0.7567866
silicate	Indo-Pacific	(26.75,27]	-0.6426326	-0.6762788	-0.6089865
silicate	Indo-Pacific	(27,27.25]	0.2159532	0.1901672	0.2417393
silicate	Indo-Pacific	(27.25,27.5]	0.7397405	0.6900097	0.7894714
silicate	Indo-Pacific	(27.5,27.75]	0.8111067	0.7669221	0.8552913
silicate	Indo-Pacific	(27.75,27.85]	0.7622483	0.6994914	0.8250051
silicate	Indo-Pacific	(27.85,27.95]	0.6436291	0.5612964	0.7259618
silicate	Indo-Pacific	(27.95,28.05]	0.3588880	0.2896840	0.4280920
silicate	Indo-Pacific	(28.05,28.1]	0.1147991	0.1122504	0.1173478
silicate	Indo-Pacific	(28.1, Inf]	-0.0832186	-0.0950557	-0.0713816
temp	Atlantic	(-Inf,26]	0.0360729	-0.1455071	0.2176529
temp	Atlantic	(26,26.5]	0.7126052	0.6435405	0.7816700
temp	Atlantic	(26.5,26.75]	0.7818093	0.7208738	0.8427448
temp	Atlantic	(26.75,27]	0.8679311	0.8642449	0.8716172
temp	Atlantic	(27,27.25]	0.8970098	0.8891129	0.9049067
temp	Atlantic	(27.25,27.5]	0.9043185	0.8952516	0.9133854
temp	Atlantic	(27.5,27.75]	0.8031256	0.7688209	0.8374304
temp	Atlantic	(27.75,27.85]	0.6695795	0.6411631	0.6979958
temp	Atlantic	(27.85,27.95]	0.3956387	0.3326855	0.4585919
temp	Atlantic	(27.95,28.05]	0.4829745	0.3867450	0.5792039
temp	Atlantic	(28.05,28.1]	0.5516811	0.5213748	0.5819873
temp	Atlantic	(28.1,28.15]	0.6309739	0.6246384	0.6373095
temp	Atlantic	(28.15,28.2]	0.6105780	0.5763844	0.6447715
temp	Atlantic	(28.2, Inf]	0.0092100	-0.0490847	0.0675046
temp	Indo-Pacific	(-Inf,26]	-0.2680882	-0.3624169	-0.1737595
temp	Indo-Pacific	(26,26.5]	0.4761458	0.3261237	0.6261680
temp	Indo-Pacific	(26.5,26.75]	0.5688859	0.4270365	0.7107354
temp	Indo-Pacific	(26.75,27]	0.5481864	0.4276901	0.6686827
temp	Indo-Pacific	(27,27.25]	-0.0015025	-0.0330167	0.0300116
temp	Indo-Pacific	(27.25,27.5]	-0.1979938	-0.3057155	-0.0902721
temp	Indo-Pacific	(27.5,27.75]	-0.2543195	-0.2886438	-0.2199953
temp	Indo-Pacific	(27.75,27.85]	-0.2637195	-0.2731026	-0.2543365
temp	Indo-Pacific	(27.85,27.95]	-0.2147017	-0.2822925	-0.1471109
temp	Indo-Pacific	(27.95,28.05]	-0.0099063	-0.0574183	0.0376057
temp	Indo-Pacific	(28.05,28.1]	0.1601405	0.1456687	0.1746122
temp	Indo-Pacific	(28.1, Inf]	0.2485451	0.1591985	0.3378917

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_1.0.5      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_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_0.13          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] 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_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1

eMLR - assumption testing

Jens Daniel Müller

09 April, 2021