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Rmd	da3c481	jens-daniel-mueller	2021-03-24	included model data
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html	318609d	jens-daniel-mueller	2020-12-23	adapted more variable predictor selection
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html	0aa2b50	jens-daniel-mueller	2020-12-23	remove html before duplication
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Rmd	83203db	jens-daniel-mueller	2020-12-03	calculate cant with variable inventory depth
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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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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 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
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]]

Version	Author	Date
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


[[3]]

Version	Author	Date
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
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
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
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
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
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
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	Atlantic	(-Inf,26]	0.8944222	0.8841517	0.9046927
aou + nitrate	Atlantic	(26,26.5]	0.8555214	0.8443454	0.8666974
aou + nitrate	Atlantic	(26.5,26.75]	0.9328392	0.9305940	0.9350843
aou + nitrate	Atlantic	(26.75,27]	0.9126811	0.9109620	0.9144002
aou + nitrate	Atlantic	(27,27.25]	0.8656713	0.8646289	0.8667137
aou + nitrate	Atlantic	(27.25,27.5]	0.7614198	0.7561357	0.7667040
aou + nitrate	Atlantic	(27.5,27.75]	0.8678607	0.8661606	0.8695609
aou + nitrate	Atlantic	(27.75,27.85]	0.9451893	0.9384599	0.9519186
aou + nitrate	Atlantic	(27.85,27.95]	0.9498879	0.9435802	0.9561956
aou + nitrate	Atlantic	(27.95,28.05]	0.9516674	0.9470962	0.9562386
aou + nitrate	Atlantic	(28.05,28.1]	0.9519444	0.9443556	0.9595333
aou + nitrate	Atlantic	(28.1,28.15]	0.9728506	0.9653846	0.9803165
aou + nitrate	Atlantic	(28.15,28.2]	0.9787813	0.9689872	0.9885754
aou + nitrate	Atlantic	(28.2, Inf]	0.8191577	0.7673866	0.8709287
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9070104	0.8938621	0.9201586
aou + nitrate	Indo-Pacific	(26,26.5]	0.9048869	0.9018555	0.9079182
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9184604	0.9184116	0.9185092
aou + nitrate	Indo-Pacific	(26.75,27]	0.9441747	0.9424891	0.9458604
aou + nitrate	Indo-Pacific	(27,27.25]	0.9647041	0.9643088	0.9650994
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9707114	0.9683869	0.9730358
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9715957	0.9714699	0.9717216
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9810802	0.9805594	0.9816011
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9784495	0.9769150	0.9799841
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9645643	0.9628576	0.9662710
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9595411	0.9573230	0.9617591
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.8093171	0.8058093	0.8128248
aou + phosphate	Atlantic	(-Inf,26]	0.3889550	0.1947923	0.5831177
aou + phosphate	Atlantic	(26,26.5]	0.6329470	0.5998144	0.6660795
aou + phosphate	Atlantic	(26.5,26.75]	0.8436252	0.8421296	0.8451207
aou + phosphate	Atlantic	(26.75,27]	0.8365916	0.8335496	0.8396335
aou + phosphate	Atlantic	(27,27.25]	0.8088691	0.8027179	0.8150203
aou + phosphate	Atlantic	(27.25,27.5]	0.7066471	0.6954457	0.7178486
aou + phosphate	Atlantic	(27.5,27.75]	0.8436536	0.8413191	0.8459882
aou + phosphate	Atlantic	(27.75,27.85]	0.9335731	0.9228356	0.9443106
aou + phosphate	Atlantic	(27.85,27.95]	0.9434252	0.9364889	0.9503615
aou + phosphate	Atlantic	(27.95,28.05]	0.9470933	0.9416505	0.9525362
aou + phosphate	Atlantic	(28.05,28.1]	0.9440608	0.9349632	0.9531583
aou + phosphate	Atlantic	(28.1,28.15]	0.9691738	0.9615131	0.9768344
aou + phosphate	Atlantic	(28.15,28.2]	0.9786121	0.9684809	0.9887433
aou + phosphate	Atlantic	(28.2, Inf]	0.8147520	0.7615387	0.8679653
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9259394	0.9116480	0.9402308
aou + phosphate	Indo-Pacific	(26,26.5]	0.9553785	0.9503245	0.9604325
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9511823	0.9483264	0.9540383
aou + phosphate	Indo-Pacific	(26.75,27]	0.9506848	0.9456540	0.9557156
aou + phosphate	Indo-Pacific	(27,27.25]	0.9719352	0.9690064	0.9748640
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9788518	0.9781703	0.9795333
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9799653	0.9792134	0.9807173
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9842625	0.9841796	0.9843453
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9803139	0.9794776	0.9811502
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9681237	0.9677375	0.9685098
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9593891	0.9591414	0.9596368
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7989360	0.7941370	0.8037351
aou + phosphate_star	Atlantic	(-Inf,26]	-0.4822498	-0.5683715	-0.3961280
aou + phosphate_star	Atlantic	(26,26.5]	0.1297791	0.0643568	0.1952015
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4197441	0.4082290	0.4312592
aou + phosphate_star	Atlantic	(26.75,27]	0.2119372	0.2003226	0.2235519
aou + phosphate_star	Atlantic	(27,27.25]	0.2291827	0.1566477	0.3017177
aou + phosphate_star	Atlantic	(27.25,27.5]	0.1925599	0.1453020	0.2398177
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5394627	0.5373816	0.5415438
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7010768	0.6636619	0.7384917
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6901083	0.6649493	0.7152673
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7849197	0.7680345	0.8018049
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8053252	0.7788581	0.8317922
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8868622	0.8605222	0.9132021
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9215967	0.8830834	0.9601099
aou + phosphate_star	Atlantic	(28.2, Inf]	0.4981381	0.3513975	0.6448787
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6210861	0.5628411	0.6793311
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6349678	0.6265170	0.6434186
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5515478	0.5413247	0.5617709
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.4702375	0.4692695	0.4712055
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1634415	0.1277304	0.1991526
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4144767	-0.4245594	-0.4043940
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6136176	-0.6253878	-0.6018473
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5058477	-0.5335549	-0.4781406
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1802066	-0.2023865	-0.1580267
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1774682	0.1262688	0.2286675
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3751847	0.3368816	0.4134878
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5832850	-0.6138880	-0.5526820
aou + silicate	Atlantic	(-Inf,26]	0.0929284	0.0005008	0.1853561
aou + silicate	Atlantic	(26,26.5]	0.5506981	0.5256790	0.5757172
aou + silicate	Atlantic	(26.5,26.75]	0.7738923	0.7593212	0.7884634
aou + silicate	Atlantic	(26.75,27]	0.8228376	0.8027716	0.8429036
aou + silicate	Atlantic	(27,27.25]	0.7729087	0.7633453	0.7824721
aou + silicate	Atlantic	(27.25,27.5]	0.5095429	0.4804610	0.5386248
aou + silicate	Atlantic	(27.5,27.75]	0.6546580	0.6335690	0.6757469
aou + silicate	Atlantic	(27.75,27.85]	0.8538043	0.8510764	0.8565321
aou + silicate	Atlantic	(27.85,27.95]	0.8879234	0.8813929	0.8944538
aou + silicate	Atlantic	(27.95,28.05]	0.9331150	0.9306762	0.9355538
aou + silicate	Atlantic	(28.05,28.1]	0.9539320	0.9478440	0.9600199
aou + silicate	Atlantic	(28.1,28.15]	0.9741562	0.9710551	0.9772573
aou + silicate	Atlantic	(28.15,28.2]	0.9845738	0.9808982	0.9882495
aou + silicate	Atlantic	(28.2, Inf]	0.8249057	0.7658465	0.8839650
aou + silicate	Indo-Pacific	(-Inf,26]	0.7007682	0.6846076	0.7169288
aou + silicate	Indo-Pacific	(26,26.5]	0.6595868	0.6426049	0.6765687
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6717647	0.6603095	0.6832199
aou + silicate	Indo-Pacific	(26.75,27]	0.7643612	0.7535457	0.7751766
aou + silicate	Indo-Pacific	(27,27.25]	0.8917822	0.8775017	0.9060627
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9229014	0.9102232	0.9355795
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9430105	0.9361859	0.9498352
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9715861	0.9708034	0.9723688
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9666982	0.9665543	0.9668422
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9525022	0.9519952	0.9530092
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9536596	0.9520653	0.9552539
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6054709	0.6034799	0.6074618
nitrate + phosphate	Atlantic	(-Inf,26]	0.6411687	0.4751397	0.8071977
nitrate + phosphate	Atlantic	(26,26.5]	0.9056631	0.8943210	0.9170051
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9706747	0.9689266	0.9724229
nitrate + phosphate	Atlantic	(26.75,27]	0.9814188	0.9813578	0.9814799
nitrate + phosphate	Atlantic	(27,27.25]	0.9886687	0.9880660	0.9892714
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9920662	0.9919302	0.9922021
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9932137	0.9915589	0.9948685
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9943559	0.9931048	0.9956070
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9914338	0.9890793	0.9937884
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9923737	0.9906706	0.9940768
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9922726	0.9910037	0.9935416
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9963197	0.9959834	0.9966560
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9971037	0.9970562	0.9971512
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9942263	0.9927294	0.9957232
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9603274	0.9582759	0.9623790
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9555770	0.9513148	0.9598392
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9662391	0.9640405	0.9684377
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9871587	0.9855185	0.9887988
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9897792	0.9879319	0.9916264
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9922878	0.9916523	0.9929233
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9912370	0.9909209	0.9915530
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9911700	0.9907666	0.9915735
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9911728	0.9901617	0.9921839
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9856282	0.9836038	0.9876526
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9843296	0.9819149	0.9867443
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9613623	0.9551373	0.9675872
nitrate + phosphate_star	Atlantic	(-Inf,26]	-0.1554853	-0.2538520	-0.0571186
nitrate + phosphate_star	Atlantic	(26,26.5]	0.5779885	0.5378207	0.6181564
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.7005327	0.6872752	0.7137902
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5825292	0.5694837	0.5955747
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6751107	0.6203605	0.7298609
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7740979	0.7490513	0.7991446
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8729214	0.8719903	0.8738524
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8832012	0.8692445	0.8971580
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8644187	0.8543642	0.8744732
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9225972	0.9160563	0.9291382
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9356591	0.9280303	0.9432879
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9625367	0.9561510	0.9689223
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9755521	0.9660444	0.9850598
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.8940862	0.8582863	0.9298860
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8498537	0.8279155	0.8717919
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.8295344	0.8221760	0.8368929
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7693068	0.7563342	0.7822794
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7014899	0.6921024	0.7108775
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.3789593	0.3513313	0.4065872
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2157430	-0.2343767	-0.1971093
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4365879	-0.4469152	-0.4262605
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3627236	-0.3927925	-0.3326546
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0107922	-0.0370008	0.0154165
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3809083	0.3348611	0.4269555
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5788821	0.5465361	0.6112282
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0365081	-0.0713338	-0.0016824
nitrate + silicate	Atlantic	(-Inf,26]	0.3760432	0.3090333	0.4430531
nitrate + silicate	Atlantic	(26,26.5]	0.8244184	0.8163513	0.8324855
nitrate + silicate	Atlantic	(26.5,26.75]	0.8908464	0.8796903	0.9020025
nitrate + silicate	Atlantic	(26.75,27]	0.9180430	0.9053871	0.9306990
nitrate + silicate	Atlantic	(27,27.25]	0.9338741	0.9276260	0.9401222
nitrate + silicate	Atlantic	(27.25,27.5]	0.8828681	0.8671821	0.8985541
nitrate + silicate	Atlantic	(27.5,27.75]	0.8884972	0.8788077	0.8981867
nitrate + silicate	Atlantic	(27.75,27.85]	0.9530122	0.9495264	0.9564979
nitrate + silicate	Atlantic	(27.85,27.95]	0.9708516	0.9699587	0.9717445
nitrate + silicate	Atlantic	(27.95,28.05]	0.9822744	0.9816047	0.9829442
nitrate + silicate	Atlantic	(28.05,28.1]	0.9890536	0.9888134	0.9892939
nitrate + silicate	Atlantic	(28.1,28.15]	0.9913625	0.9909272	0.9917977
nitrate + silicate	Atlantic	(28.15,28.2]	0.9908940	0.9896703	0.9921178
nitrate + silicate	Atlantic	(28.2, Inf]	0.9695968	0.9623329	0.9768607
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8686663	0.8665577	0.8707749
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8204982	0.8084369	0.8325595
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8264088	0.8158437	0.8369739
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8504837	0.8410372	0.8599301
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9051209	0.8896892	0.9205526
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8993829	0.8812071	0.9175587
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9092783	0.8995227	0.9190338
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9555500	0.9540181	0.9570818
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9644664	0.9636815	0.9652513
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9507537	0.9459167	0.9555906
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9563631	0.9533339	0.9593924
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8088904	0.7999892	0.8177915
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5932374	0.5013672	0.6851076
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8470566	0.8349772	0.8591360
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8400208	0.8345891	0.8454525
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7119883	0.6997922	0.7241845
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7559249	0.7142232	0.7976266
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8287686	0.8105785	0.8469587
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9042718	0.9014115	0.9071321
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9079386	0.8987004	0.9171769
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8891583	0.8825816	0.8957349
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9404885	0.9368066	0.9441704
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9546789	0.9496069	0.9597509
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9727486	0.9667936	0.9787035
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9812427	0.9717423	0.9907431
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9056729	0.8731216	0.9382242
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8530024	0.8344953	0.8715096
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8322467	0.8287577	0.8357357
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7800230	0.7666184	0.7934275
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7185317	0.7064097	0.7306537
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3862796	0.3652258	0.4073335
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2306279	-0.2428100	-0.2184458
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4591731	-0.4702263	-0.4481199
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3571647	-0.3870734	-0.3272559
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0086015	-0.0181899	0.0353929
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4131756	0.3674330	0.4589182
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6186112	0.5856601	0.6515623
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0177174	-0.0114911	0.0469259
sal + aou	Atlantic	(-Inf,26]	0.4094425	0.3075654	0.5113197
sal + aou	Atlantic	(26,26.5]	-0.0346491	-0.0878216	0.0185233
sal + aou	Atlantic	(26.5,26.75]	-0.3194372	-0.3286350	-0.3102394
sal + aou	Atlantic	(26.75,27]	-0.1642162	-0.1699874	-0.1584450
sal + aou	Atlantic	(27,27.25]	-0.2370435	-0.3059712	-0.1681159
sal + aou	Atlantic	(27.25,27.5]	-0.1810414	-0.2298078	-0.1322750
sal + aou	Atlantic	(27.5,27.75]	-0.3859751	-0.4009109	-0.3710393
sal + aou	Atlantic	(27.75,27.85]	-0.4231244	-0.4726981	-0.3735507
sal + aou	Atlantic	(27.85,27.95]	-0.3614817	-0.4111499	-0.3118135
sal + aou	Atlantic	(27.95,28.05]	-0.6118669	-0.6421839	-0.5815500
sal + aou	Atlantic	(28.05,28.1]	-0.6650293	-0.7044133	-0.6256453
sal + aou	Atlantic	(28.1,28.15]	-0.7950031	-0.8304885	-0.7595177
sal + aou	Atlantic	(28.15,28.2]	-0.8661188	-0.9248711	-0.8073665
sal + aou	Atlantic	(28.2, Inf]	-0.5530220	-0.6625380	-0.4435061
sal + aou	Indo-Pacific	(-Inf,26]	-0.0614724	-0.0763978	-0.0465471
sal + aou	Indo-Pacific	(26,26.5]	-0.2181730	-0.2528783	-0.1834678
sal + aou	Indo-Pacific	(26.5,26.75]	-0.3158459	-0.3530823	-0.2786095
sal + aou	Indo-Pacific	(26.75,27]	-0.3180620	-0.3470643	-0.2890598
sal + aou	Indo-Pacific	(27,27.25]	-0.1617008	-0.1665757	-0.1568258
sal + aou	Indo-Pacific	(27.25,27.5]	0.0570369	0.0425578	0.0715159
sal + aou	Indo-Pacific	(27.5,27.75]	-0.0164395	-0.0223674	-0.0105115
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1905390	-0.1949145	-0.1861636
sal + aou	Indo-Pacific	(27.85,27.95]	-0.2943303	-0.3137453	-0.2749154
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3643423	-0.3811630	-0.3475217
sal + aou	Indo-Pacific	(28.05,28.1]	-0.4194455	-0.4201112	-0.4187797
sal + aou	Indo-Pacific	(28.1, Inf]	0.3465345	0.3448063	0.3482627
sal + nitrate	Atlantic	(-Inf,26]	0.1372087	0.0486907	0.2257266
sal + nitrate	Atlantic	(26,26.5]	-0.4521618	-0.4881605	-0.4161630
sal + nitrate	Atlantic	(26.5,26.75]	-0.5992506	-0.6120684	-0.5864327
sal + nitrate	Atlantic	(26.75,27]	-0.5293736	-0.5372034	-0.5215438
sal + nitrate	Atlantic	(27,27.25]	-0.6679975	-0.7196551	-0.6163399
sal + nitrate	Atlantic	(27.25,27.5]	-0.7422017	-0.7723379	-0.7120655
sal + nitrate	Atlantic	(27.5,27.75]	-0.7175831	-0.7281869	-0.7069792
sal + nitrate	Atlantic	(27.75,27.85]	-0.6279525	-0.6422082	-0.6136967
sal + nitrate	Atlantic	(27.85,27.95]	-0.5809373	-0.6096371	-0.5522375
sal + nitrate	Atlantic	(27.95,28.05]	-0.7786700	-0.7919753	-0.7653646
sal + nitrate	Atlantic	(28.05,28.1]	-0.8265353	-0.8424944	-0.8105762
sal + nitrate	Atlantic	(28.1,28.15]	-0.8886144	-0.8996616	-0.8775672
sal + nitrate	Atlantic	(28.15,28.2]	-0.9301333	-0.9503751	-0.9098915
sal + nitrate	Atlantic	(28.2, Inf]	-0.9092671	-0.9293642	-0.8891700
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3327916	-0.3507740	-0.3148093
sal + nitrate	Indo-Pacific	(26,26.5]	-0.5255201	-0.5668561	-0.4841840
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.5976920	-0.6336409	-0.5617432
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5534127	-0.5867508	-0.5200746
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3233925	-0.3355055	-0.3112794
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.0400420	-0.0481368	-0.0319473
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.1151613	-0.1172495	-0.1130732
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2834264	-0.2918179	-0.2750349
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4120955	-0.4251212	-0.3990697
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.5326237	-0.5471209	-0.5181264
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.6136676	-0.6149204	-0.6124149
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.1598110	-0.1617929	-0.1578291
sal + phosphate	Atlantic	(-Inf,26]	-0.4960132	-0.5354339	-0.4565926
sal + phosphate	Atlantic	(26,26.5]	-0.7615605	-0.7672534	-0.7558675
sal + phosphate	Atlantic	(26.5,26.75]	-0.7582039	-0.7631112	-0.7532966
sal + phosphate	Atlantic	(26.75,27]	-0.6658517	-0.6738061	-0.6578974
sal + phosphate	Atlantic	(27,27.25]	-0.7476446	-0.7852537	-0.7100355
sal + phosphate	Atlantic	(27.25,27.5]	-0.7962588	-0.8174045	-0.7751131
sal + phosphate	Atlantic	(27.5,27.75]	-0.7590110	-0.7676074	-0.7504146
sal + phosphate	Atlantic	(27.75,27.85]	-0.6620911	-0.6770823	-0.6470999
sal + phosphate	Atlantic	(27.85,27.95]	-0.6004392	-0.6333100	-0.5675684
sal + phosphate	Atlantic	(27.95,28.05]	-0.7914290	-0.8066579	-0.7762001
sal + phosphate	Atlantic	(28.05,28.1]	-0.8424870	-0.8575598	-0.8274143
sal + phosphate	Atlantic	(28.1,28.15]	-0.9006914	-0.9128980	-0.8884849
sal + phosphate	Atlantic	(28.15,28.2]	-0.9362086	-0.9575025	-0.9149146
sal + phosphate	Atlantic	(28.2, Inf]	-0.9157601	-0.9329762	-0.8985439
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1556298	-0.1767215	-0.1345380
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4442542	-0.4929337	-0.3955747
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.5586505	-0.5967151	-0.5205860
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5617327	-0.5992923	-0.5241731
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3265955	-0.3458345	-0.3073565
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0167905	-0.0190355	-0.0145456
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0615658	-0.0645469	-0.0585848
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2282785	-0.2389798	-0.2175772
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3787161	-0.3920191	-0.3654132
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5219246	-0.5318193	-0.5120299
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6054933	-0.6075017	-0.6034849
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.1673332	-0.1837646	-0.1509019
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8926763	-0.9116381	-0.8737144
sal + phosphate_star	Atlantic	(26,26.5]	-0.9648765	-0.9671181	-0.9626350
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9731335	-0.9731442	-0.9731229
sal + phosphate_star	Atlantic	(26.75,27]	-0.9822086	-0.9824795	-0.9819378
sal + phosphate_star	Atlantic	(27,27.25]	-0.9814834	-0.9824408	-0.9805260
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9710462	-0.9724622	-0.9696302
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9181633	-0.9226933	-0.9136333
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8658228	-0.8693871	-0.8622585
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8454600	-0.8629668	-0.8279532
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9102041	-0.9163899	-0.9040183
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9377224	-0.9425262	-0.9329185
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9601710	-0.9625049	-0.9578372
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9730544	-0.9756967	-0.9704120
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9745681	-0.9787119	-0.9704244
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4281371	-0.4737204	-0.3825539
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7991329	-0.8295443	-0.7687214
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9079416	-0.9151873	-0.9006959
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9243001	-0.9311290	-0.9174713
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8377260	-0.8470475	-0.8284045
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5714609	-0.6059624	-0.5369594
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3741915	-0.4081724	-0.3402106
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3511000	-0.3863660	-0.3158341
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5606555	-0.5917976	-0.5295134
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7956296	-0.7978493	-0.7934100
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8709218	-0.8726718	-0.8691718
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8166979	-0.8217136	-0.8116822
sal + silicate	Atlantic	(-Inf,26]	-0.7124741	-0.7477422	-0.6772060
sal + silicate	Atlantic	(26,26.5]	-0.7229750	-0.7473236	-0.6986264
sal + silicate	Atlantic	(26.5,26.75]	-0.6836742	-0.6877317	-0.6796167
sal + silicate	Atlantic	(26.75,27]	-0.5398673	-0.5562193	-0.5235154
sal + silicate	Atlantic	(27,27.25]	-0.7016181	-0.7447607	-0.6584756
sal + silicate	Atlantic	(27.25,27.5]	-0.8125388	-0.8307972	-0.7942803
sal + silicate	Atlantic	(27.5,27.75]	-0.7498032	-0.7692174	-0.7303890
sal + silicate	Atlantic	(27.75,27.85]	-0.6956500	-0.7256047	-0.6656953
sal + silicate	Atlantic	(27.85,27.95]	-0.6780259	-0.7120540	-0.6439977
sal + silicate	Atlantic	(27.95,28.05]	-0.8177534	-0.8364579	-0.7990489
sal + silicate	Atlantic	(28.05,28.1]	-0.8338536	-0.8533680	-0.8143391
sal + silicate	Atlantic	(28.1,28.15]	-0.8872738	-0.9070721	-0.8674755
sal + silicate	Atlantic	(28.15,28.2]	-0.9006996	-0.9341098	-0.8672893
sal + silicate	Atlantic	(28.2, Inf]	-0.8542212	-0.8762464	-0.8321960
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5479790	-0.5509168	-0.5450412
sal + silicate	Indo-Pacific	(26,26.5]	-0.6702399	-0.6712697	-0.6692100
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.7969710	-0.8043726	-0.7895693
sal + silicate	Indo-Pacific	(26.75,27]	-0.7560478	-0.7612920	-0.7508036
sal + silicate	Indo-Pacific	(27,27.25]	-0.5053729	-0.5192122	-0.4915336
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1907338	-0.2259179	-0.1555497
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0939826	-0.1077659	-0.0801994
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2435697	-0.2480024	-0.2391369
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3435103	-0.3586348	-0.3283857
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4292595	-0.4399971	-0.4185219
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5064184	-0.5064619	-0.5063750
sal + silicate	Indo-Pacific	(28.1, Inf]	-0.0700387	-0.0775585	-0.0625190
sal + temp	Atlantic	(-Inf,26]	0.9123164	0.8851004	0.9395323
sal + temp	Atlantic	(26,26.5]	0.9687256	0.9665947	0.9708565
sal + temp	Atlantic	(26.5,26.75]	0.9901523	0.9900337	0.9902708
sal + temp	Atlantic	(26.75,27]	0.9825451	0.9823663	0.9827239
sal + temp	Atlantic	(27,27.25]	0.9804004	0.9793735	0.9814274
sal + temp	Atlantic	(27.25,27.5]	0.9751797	0.9744939	0.9758655
sal + temp	Atlantic	(27.5,27.75]	0.9677400	0.9647305	0.9707494
sal + temp	Atlantic	(27.75,27.85]	0.9806159	0.9795243	0.9817076
sal + temp	Atlantic	(27.85,27.95]	0.9454984	0.9451865	0.9458102
sal + temp	Atlantic	(27.95,28.05]	0.9282164	0.9250864	0.9313463
sal + temp	Atlantic	(28.05,28.1]	0.9674181	0.9670361	0.9678001
sal + temp	Atlantic	(28.1,28.15]	0.9639713	0.9636272	0.9643153
sal + temp	Atlantic	(28.15,28.2]	0.8941835	0.8838797	0.9044874
sal + temp	Atlantic	(28.2, Inf]	0.3204772	0.1903930	0.4505613
sal + temp	Indo-Pacific	(-Inf,26]	0.7032046	0.6911592	0.7152500
sal + temp	Indo-Pacific	(26,26.5]	0.9382346	0.9324835	0.9439857
sal + temp	Indo-Pacific	(26.5,26.75]	0.9818246	0.9807814	0.9828679
sal + temp	Indo-Pacific	(26.75,27]	0.9782852	0.9772306	0.9793398
sal + temp	Indo-Pacific	(27,27.25]	0.9428882	0.9408233	0.9449532
sal + temp	Indo-Pacific	(27.25,27.5]	0.8525542	0.8519212	0.8531872
sal + temp	Indo-Pacific	(27.5,27.75]	0.6819702	0.6743667	0.6895737
sal + temp	Indo-Pacific	(27.75,27.85]	0.8314981	0.8249781	0.8380182
sal + temp	Indo-Pacific	(27.85,27.95]	0.7646170	0.7489438	0.7802902
sal + temp	Indo-Pacific	(27.95,28.05]	0.7280498	0.7270210	0.7290786
sal + temp	Indo-Pacific	(28.05,28.1]	0.7022650	0.6891704	0.7153596
sal + temp	Indo-Pacific	(28.1, Inf]	0.6755726	0.6693198	0.6818253
silicate + phosphate	Atlantic	(-Inf,26]	0.7501859	0.7043921	0.7959796
silicate + phosphate	Atlantic	(26,26.5]	0.9120520	0.9064938	0.9176102
silicate + phosphate	Atlantic	(26.5,26.75]	0.9036218	0.8941631	0.9130805
silicate + phosphate	Atlantic	(26.75,27]	0.9224163	0.9138430	0.9309897
silicate + phosphate	Atlantic	(27,27.25]	0.9481929	0.9444652	0.9519205
silicate + phosphate	Atlantic	(27.25,27.5]	0.9096266	0.8988597	0.9203935
silicate + phosphate	Atlantic	(27.5,27.75]	0.9065187	0.8975426	0.9154948
silicate + phosphate	Atlantic	(27.75,27.85]	0.9592456	0.9572626	0.9612287
silicate + phosphate	Atlantic	(27.85,27.95]	0.9733352	0.9718489	0.9748215
silicate + phosphate	Atlantic	(27.95,28.05]	0.9830942	0.9820011	0.9841873
silicate + phosphate	Atlantic	(28.05,28.1]	0.9882294	0.9868367	0.9896221
silicate + phosphate	Atlantic	(28.1,28.15]	0.9924823	0.9915278	0.9934369
silicate + phosphate	Atlantic	(28.15,28.2]	0.9891602	0.9876644	0.9906561
silicate + phosphate	Atlantic	(28.2, Inf]	0.9682582	0.9603501	0.9761663
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7606386	0.7568127	0.7644645
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7588402	0.7411537	0.7765268
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7986095	0.7876645	0.8095545
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8560899	0.8444159	0.8677639
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9123302	0.8954871	0.9291732
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9047650	0.8854493	0.9240807
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9107511	0.8984171	0.9230851
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9585359	0.9559295	0.9611422
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9702077	0.9701206	0.9702948
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9634834	0.9628565	0.9641104
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9610688	0.9609126	0.9612249
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7919718	0.7883319	0.7956116
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6788683	0.6239573	0.7337792
silicate + phosphate_star	Atlantic	(26,26.5]	0.7941396	0.7697016	0.8185776
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7582303	0.7514586	0.7650021
silicate + phosphate_star	Atlantic	(26.75,27]	0.5931962	0.5732187	0.6131737
silicate + phosphate_star	Atlantic	(27,27.25]	0.7135518	0.6710679	0.7560358
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8661915	0.8536366	0.8787464
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9110026	0.9059850	0.9160202
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9231829	0.9071160	0.9392498
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9161011	0.9060302	0.9261719
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9326369	0.9249203	0.9403535
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9296120	0.9201763	0.9390476
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9555781	0.9437033	0.9674529
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9547278	0.9362889	0.9731667
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8537492	0.8157593	0.8917391
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7579530	0.7402853	0.7756207
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7931553	0.7902676	0.7960430
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8373567	0.8363190	0.8383943
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7679579	0.7657573	0.7701584
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.4024789	0.3724156	0.4325421
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2708230	-0.2776041	-0.2640420
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5398929	-0.5552725	-0.5245133
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4394225	-0.4730557	-0.4057893
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0349549	-0.0584952	-0.0114146
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3523172	0.3065068	0.3981276
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5220850	0.4930806	0.5510893
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0979155	0.0738010	0.1220300
temp + aou	Atlantic	(-Inf,26]	0.3790548	0.2820238	0.4760857
temp + aou	Atlantic	(26,26.5]	-0.0797189	-0.1361431	-0.0232946
temp + aou	Atlantic	(26.5,26.75]	-0.3318444	-0.3384635	-0.3252253
temp + aou	Atlantic	(26.75,27]	-0.1553213	-0.1593032	-0.1513394
temp + aou	Atlantic	(27,27.25]	-0.1745466	-0.2476149	-0.1014783
temp + aou	Atlantic	(27.25,27.5]	-0.1329738	-0.1818350	-0.0841126
temp + aou	Atlantic	(27.5,27.75]	-0.3492895	-0.3519377	-0.3466414
temp + aou	Atlantic	(27.75,27.85]	-0.4198443	-0.4604878	-0.3792008
temp + aou	Atlantic	(27.85,27.95]	-0.3464494	-0.3913205	-0.3015784
temp + aou	Atlantic	(27.95,28.05]	-0.5172016	-0.5322207	-0.5021825
temp + aou	Atlantic	(28.05,28.1]	-0.5258086	-0.5721156	-0.4795017
temp + aou	Atlantic	(28.1,28.15]	-0.6515488	-0.6981048	-0.6049928
temp + aou	Atlantic	(28.15,28.2]	-0.6281796	-0.7469492	-0.5094100
temp + aou	Atlantic	(28.2, Inf]	0.4373350	0.4254650	0.4492049
temp + aou	Indo-Pacific	(-Inf,26]	-0.2713056	-0.3139135	-0.2286977
temp + aou	Indo-Pacific	(26,26.5]	-0.2841839	-0.3115845	-0.2567833
temp + aou	Indo-Pacific	(26.5,26.75]	-0.2855869	-0.3228051	-0.2483686
temp + aou	Indo-Pacific	(26.75,27]	-0.3168045	-0.3431448	-0.2904643
temp + aou	Indo-Pacific	(27,27.25]	-0.2204269	-0.2321629	-0.2086908
temp + aou	Indo-Pacific	(27.25,27.5]	0.0112994	0.0085702	0.0140286
temp + aou	Indo-Pacific	(27.5,27.75]	0.0552189	0.0474273	0.0630106
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0008027	-0.0087174	0.0071120
temp + aou	Indo-Pacific	(27.85,27.95]	0.0312425	0.0301272	0.0323579
temp + aou	Indo-Pacific	(27.95,28.05]	0.1152361	0.0866506	0.1438217
temp + aou	Indo-Pacific	(28.05,28.1]	0.2333079	0.2101911	0.2564248
temp + aou	Indo-Pacific	(28.1, Inf]	0.8282914	0.8192407	0.8373420
temp + nitrate	Atlantic	(-Inf,26]	0.1477977	0.0485758	0.2470196
temp + nitrate	Atlantic	(26,26.5]	-0.5236351	-0.5591977	-0.4880724
temp + nitrate	Atlantic	(26.5,26.75]	-0.6155586	-0.6263969	-0.6047202
temp + nitrate	Atlantic	(26.75,27]	-0.5290281	-0.5307820	-0.5272742
temp + nitrate	Atlantic	(27,27.25]	-0.6245356	-0.6806997	-0.5683715
temp + nitrate	Atlantic	(27.25,27.5]	-0.7092292	-0.7407549	-0.6777035
temp + nitrate	Atlantic	(27.5,27.75]	-0.6917098	-0.6927329	-0.6906866
temp + nitrate	Atlantic	(27.75,27.85]	-0.6356925	-0.6444068	-0.6269782
temp + nitrate	Atlantic	(27.85,27.95]	-0.5687201	-0.5919612	-0.5454791
temp + nitrate	Atlantic	(27.95,28.05]	-0.6953578	-0.7010060	-0.6897096
temp + nitrate	Atlantic	(28.05,28.1]	-0.7206969	-0.7394593	-0.7019346
temp + nitrate	Atlantic	(28.1,28.15]	-0.7674341	-0.7829124	-0.7519557
temp + nitrate	Atlantic	(28.15,28.2]	-0.7150614	-0.7732608	-0.6568619
temp + nitrate	Atlantic	(28.2, Inf]	0.0015233	-0.0783875	0.0814341
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5683567	-0.5838272	-0.5528861
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5968261	-0.6289619	-0.5646903
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.5813417	-0.6174200	-0.5452634
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5701383	-0.6004827	-0.5397940
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4116796	-0.4160457	-0.4073134
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.1278181	-0.1286644	-0.1269717
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.0518691	-0.0630547	-0.0406835
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0896425	-0.1012467	-0.0780383
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.0838968	-0.0897402	-0.0780533
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0612289	-0.0867767	-0.0356810
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0194585	-0.0056441	0.0445611
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.4084967	0.3961368	0.4208565
temp + phosphate	Atlantic	(-Inf,26]	-0.4472540	-0.4995704	-0.3949376
temp + phosphate	Atlantic	(26,26.5]	-0.7817004	-0.7863004	-0.7771004
temp + phosphate	Atlantic	(26.5,26.75]	-0.7643579	-0.7681983	-0.7605175
temp + phosphate	Atlantic	(26.75,27]	-0.6581267	-0.6583426	-0.6579109
temp + phosphate	Atlantic	(27,27.25]	-0.7033627	-0.7450580	-0.6616675
temp + phosphate	Atlantic	(27.25,27.5]	-0.7677035	-0.7900549	-0.7453520
temp + phosphate	Atlantic	(27.5,27.75]	-0.7345818	-0.7358371	-0.7333265
temp + phosphate	Atlantic	(27.75,27.85]	-0.6687521	-0.6780586	-0.6594455
temp + phosphate	Atlantic	(27.85,27.95]	-0.5866489	-0.6146356	-0.5586622
temp + phosphate	Atlantic	(27.95,28.05]	-0.7103693	-0.7185217	-0.7022169
temp + phosphate	Atlantic	(28.05,28.1]	-0.7394080	-0.7577928	-0.7210231
temp + phosphate	Atlantic	(28.1,28.15]	-0.7842745	-0.8013483	-0.7672008
temp + phosphate	Atlantic	(28.15,28.2]	-0.7269115	-0.7871691	-0.6666538
temp + phosphate	Atlantic	(28.2, Inf]	-0.0157980	-0.1007977	0.0692018
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4587315	-0.4696398	-0.4478231
temp + phosphate	Indo-Pacific	(26,26.5]	-0.5223534	-0.5615312	-0.4831756
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.5414138	-0.5800852	-0.5027424
temp + phosphate	Indo-Pacific	(26.75,27]	-0.5725266	-0.6076151	-0.5374381
temp + phosphate	Indo-Pacific	(27,27.25]	-0.4038651	-0.4085543	-0.3991758
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.0978588	-0.1051415	-0.0905761
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.0049856	-0.0113293	0.0213006
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.0395080	-0.0536310	-0.0253851
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0563341	-0.0618831	-0.0507852
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0512526	-0.0722068	-0.0302984
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0308636	0.0126919	0.0490354
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.4073324	0.4024927	0.4121721
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8481049	-0.8486948	-0.8475149
temp + phosphate_star	Atlantic	(26,26.5]	-0.9682064	-0.9719959	-0.9644170
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9743993	-0.9750769	-0.9737217
temp + phosphate_star	Atlantic	(26.75,27]	-0.9837001	-0.9861117	-0.9812885
temp + phosphate_star	Atlantic	(27,27.25]	-0.9817099	-0.9843887	-0.9790312
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9747334	-0.9760282	-0.9734386
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9167286	-0.9168248	-0.9166325
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8832401	-0.8878297	-0.8786505
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8473765	-0.8607126	-0.8340405
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8696591	-0.8754542	-0.8638640
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8832326	-0.8878086	-0.8786567
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8820897	-0.8827241	-0.8814554
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8108699	-0.8284298	-0.7933100
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3669641	-0.5116620	-0.2222662
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7835503	-0.7914611	-0.7756395
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8792546	-0.8978063	-0.8607028
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9208763	-0.9280722	-0.9136804
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9542071	-0.9588435	-0.9495707
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9204277	-0.9284189	-0.9124366
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7216047	-0.7424852	-0.7007241
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5360391	-0.5579662	-0.5141121
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4960111	-0.5229317	-0.4690904
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6813550	-0.6909225	-0.6717876
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7495379	-0.7725070	-0.7265688
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6147262	-0.6351180	-0.5943344
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8557467	-0.8784021	-0.8330914
temp + silicate	Atlantic	(-Inf,26]	-0.6572611	-0.6965651	-0.6179571
temp + silicate	Atlantic	(26,26.5]	-0.7355312	-0.7627577	-0.7083048
temp + silicate	Atlantic	(26.5,26.75]	-0.7068137	-0.7090619	-0.7045656
temp + silicate	Atlantic	(26.75,27]	-0.5518603	-0.5615902	-0.5421304
temp + silicate	Atlantic	(27,27.25]	-0.6771798	-0.7209493	-0.6334103
temp + silicate	Atlantic	(27.25,27.5]	-0.8375171	-0.8505341	-0.8245001
temp + silicate	Atlantic	(27.5,27.75]	-0.7854509	-0.8028330	-0.7680689
temp + silicate	Atlantic	(27.75,27.85]	-0.7254277	-0.7517273	-0.6991280
temp + silicate	Atlantic	(27.85,27.95]	-0.6832388	-0.7117271	-0.6547504
temp + silicate	Atlantic	(27.95,28.05]	-0.7602096	-0.7696914	-0.7507277
temp + silicate	Atlantic	(28.05,28.1]	-0.7296566	-0.7539431	-0.7053701
temp + silicate	Atlantic	(28.1,28.15]	-0.7686729	-0.7971378	-0.7402081
temp + silicate	Atlantic	(28.15,28.2]	-0.6699696	-0.7495597	-0.5903795
temp + silicate	Atlantic	(28.2, Inf]	0.0409107	-0.0511194	0.1329407
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6404824	-0.6588350	-0.6221297
temp + silicate	Indo-Pacific	(26,26.5]	-0.7128945	-0.7190296	-0.7067594
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.7886327	-0.7977253	-0.7795400
temp + silicate	Indo-Pacific	(26.75,27]	-0.7505739	-0.7549326	-0.7462151
temp + silicate	Indo-Pacific	(27,27.25]	-0.5528177	-0.5808946	-0.5247409
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.2835819	-0.3106123	-0.2565514
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.1806202	-0.1907835	-0.1704569
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1241960	-0.1302150	-0.1181770
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1112404	-0.1142154	-0.1082654
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0717426	-0.0966307	-0.0468545
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1071764	0.0849699	0.1293829
temp + silicate	Indo-Pacific	(28.1, Inf]	0.2090335	0.2046432	0.2134239

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
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	Atlantic	(-Inf,26]	0.5672507	0.5528218	0.5816795
aou	Atlantic	(26,26.5]	0.1641482	0.0637041	0.2645922
aou	Atlantic	(26.5,26.75]	-0.3120769	-0.3742023	-0.2499514
aou	Atlantic	(26.75,27]	-0.2867083	-0.3084198	-0.2649968
aou	Atlantic	(27,27.25]	-0.4474907	-0.5143601	-0.3806214
aou	Atlantic	(27.25,27.5]	-0.4742538	-0.4984031	-0.4501045
aou	Atlantic	(27.5,27.75]	-0.7800415	-0.7936045	-0.7664785
aou	Atlantic	(27.75,27.85]	-0.9050040	-0.9250328	-0.8849752
aou	Atlantic	(27.85,27.95]	-0.9146387	-0.9311388	-0.8981386
aou	Atlantic	(27.95,28.05]	-0.8623388	-0.8715502	-0.8531275
aou	Atlantic	(28.05,28.1]	-0.8339409	-0.8449218	-0.8229600
aou	Atlantic	(28.1,28.15]	-0.8657981	-0.8769275	-0.8546687
aou	Atlantic	(28.15,28.2]	-0.9457932	-0.9589432	-0.9326432
aou	Atlantic	(28.2, Inf]	-0.6757478	-0.7766071	-0.5748885
aou	Indo-Pacific	(-Inf,26]	-0.1000542	-0.1019682	-0.0981402
aou	Indo-Pacific	(26,26.5]	-0.7378123	-0.7623510	-0.7132735
aou	Indo-Pacific	(26.5,26.75]	-0.7585159	-0.7751807	-0.7418511
aou	Indo-Pacific	(26.75,27]	-0.7321977	-0.7650594	-0.6993359
aou	Indo-Pacific	(27,27.25]	0.0567510	0.0111289	0.1023731
aou	Indo-Pacific	(27.25,27.5]	0.6046783	0.5734598	0.6358968
aou	Indo-Pacific	(27.5,27.75]	0.7509614	0.7425203	0.7594024
aou	Indo-Pacific	(27.75,27.85]	0.8052589	0.8018269	0.8086909
aou	Indo-Pacific	(27.85,27.95]	0.7575549	0.7412469	0.7738629
aou	Indo-Pacific	(27.95,28.05]	0.5236754	0.4716704	0.5756804
aou	Indo-Pacific	(28.05,28.1]	0.2502635	0.1662005	0.3343265
aou	Indo-Pacific	(28.1, Inf]	0.3879618	0.2716955	0.5042280
nitrate	Atlantic	(-Inf,26]	0.3337335	0.3294835	0.3379835
nitrate	Atlantic	(26,26.5]	-0.2646859	-0.3388502	-0.1905216
nitrate	Atlantic	(26.5,26.75]	-0.5598987	-0.6163405	-0.5034570
nitrate	Atlantic	(26.75,27]	-0.6111798	-0.6318561	-0.5905036
nitrate	Atlantic	(27,27.25]	-0.8048402	-0.8488221	-0.7608583
nitrate	Atlantic	(27.25,27.5]	-0.9153928	-0.9241718	-0.9066139
nitrate	Atlantic	(27.5,27.75]	-0.9701254	-0.9741044	-0.9661464
nitrate	Atlantic	(27.75,27.85]	-0.9615571	-0.9658803	-0.9572338
nitrate	Atlantic	(27.85,27.95]	-0.9309029	-0.9399844	-0.9218214
nitrate	Atlantic	(27.95,28.05]	-0.9032722	-0.9083284	-0.8982160
nitrate	Atlantic	(28.05,28.1]	-0.8807699	-0.8824607	-0.8790791
nitrate	Atlantic	(28.1,28.15]	-0.9017673	-0.9042891	-0.8992455
nitrate	Atlantic	(28.15,28.2]	-0.9786834	-0.9797011	-0.9776657
nitrate	Atlantic	(28.2, Inf]	-0.9528190	-0.9706864	-0.9349516
nitrate	Indo-Pacific	(-Inf,26]	-0.1075410	-0.1156647	-0.0994174
nitrate	Indo-Pacific	(26,26.5]	-0.8394238	-0.8460655	-0.8327820
nitrate	Indo-Pacific	(26.5,26.75]	-0.8750998	-0.8810707	-0.8691289
nitrate	Indo-Pacific	(26.75,27]	-0.8512822	-0.8647426	-0.8378217
nitrate	Indo-Pacific	(27,27.25]	-0.0308933	-0.0565530	-0.0052336
nitrate	Indo-Pacific	(27.25,27.5]	0.5294123	0.4903663	0.5684583
nitrate	Indo-Pacific	(27.5,27.75]	0.6787933	0.6688757	0.6887109
nitrate	Indo-Pacific	(27.75,27.85]	0.7595475	0.7563469	0.7627481
nitrate	Indo-Pacific	(27.85,27.95]	0.7012700	0.6813987	0.7211413
nitrate	Indo-Pacific	(27.95,28.05]	0.4342089	0.3745776	0.4938402
nitrate	Indo-Pacific	(28.05,28.1]	0.1666293	0.0759793	0.2572792
nitrate	Indo-Pacific	(28.1, Inf]	0.1183471	0.0071710	0.2295231
phosphate	Atlantic	(-Inf,26]	0.0027240	-0.0721879	0.0776359
phosphate	Atlantic	(26,26.5]	-0.5060264	-0.5513047	-0.4607481
phosphate	Atlantic	(26.5,26.75]	-0.6774076	-0.7141913	-0.6406239
phosphate	Atlantic	(26.75,27]	-0.7277717	-0.7460173	-0.7095260
phosphate	Atlantic	(27,27.25]	-0.8692797	-0.9004733	-0.8380861
phosphate	Atlantic	(27.25,27.5]	-0.9471040	-0.9533463	-0.9408617
phosphate	Atlantic	(27.5,27.75]	-0.9818515	-0.9828029	-0.9809001
phosphate	Atlantic	(27.75,27.85]	-0.9710030	-0.9724578	-0.9695482
phosphate	Atlantic	(27.85,27.95]	-0.9430800	-0.9440870	-0.9420729
phosphate	Atlantic	(27.95,28.05]	-0.9144827	-0.9157237	-0.9132418
phosphate	Atlantic	(28.05,28.1]	-0.8919958	-0.8942494	-0.8897421
phosphate	Atlantic	(28.1,28.15]	-0.9045646	-0.9046970	-0.9044321
phosphate	Atlantic	(28.15,28.2]	-0.9820809	-0.9839439	-0.9802179
phosphate	Atlantic	(28.2, Inf]	-0.9617899	-0.9770964	-0.9464835
phosphate	Indo-Pacific	(-Inf,26]	-0.0994116	-0.1067134	-0.0921099
phosphate	Indo-Pacific	(26,26.5]	-0.8567704	-0.8682013	-0.8453395
phosphate	Indo-Pacific	(26.5,26.75]	-0.8941443	-0.9000023	-0.8882863
phosphate	Indo-Pacific	(26.75,27]	-0.8617412	-0.8736097	-0.8498727
phosphate	Indo-Pacific	(27,27.25]	-0.0425325	-0.0701747	-0.0148902
phosphate	Indo-Pacific	(27.25,27.5]	0.5238607	0.4840847	0.5636366
phosphate	Indo-Pacific	(27.5,27.75]	0.6610983	0.6473740	0.6748225
phosphate	Indo-Pacific	(27.75,27.85]	0.7297441	0.7270822	0.7324059
phosphate	Indo-Pacific	(27.85,27.95]	0.6706189	0.6482140	0.6930238
phosphate	Indo-Pacific	(27.95,28.05]	0.3864503	0.3232434	0.4496573
phosphate	Indo-Pacific	(28.05,28.1]	0.0937313	-0.0045637	0.1920264
phosphate	Indo-Pacific	(28.1, Inf]	0.0066906	-0.1210635	0.1344447
phosphate_star	Atlantic	(-Inf,26]	-0.4412793	-0.4627997	-0.4197590
phosphate_star	Atlantic	(26,26.5]	-0.7396413	-0.7469528	-0.7323297
phosphate_star	Atlantic	(26.5,26.75]	-0.8094783	-0.8148499	-0.8041067
phosphate_star	Atlantic	(26.75,27]	-0.9251732	-0.9257306	-0.9246157
phosphate_star	Atlantic	(27,27.25]	-0.9398620	-0.9425088	-0.9372151
phosphate_star	Atlantic	(27.25,27.5]	-0.9352640	-0.9462233	-0.9243047
phosphate_star	Atlantic	(27.5,27.75]	-0.9206047	-0.9297672	-0.9114423
phosphate_star	Atlantic	(27.75,27.85]	-0.8780951	-0.8832435	-0.8729466
phosphate_star	Atlantic	(27.85,27.95]	-0.7970900	-0.8029215	-0.7912586
phosphate_star	Atlantic	(27.95,28.05]	-0.8526784	-0.8564537	-0.8489032
phosphate_star	Atlantic	(28.05,28.1]	-0.8480967	-0.8507490	-0.8454444
phosphate_star	Atlantic	(28.1,28.15]	-0.8794427	-0.8800221	-0.8788632
phosphate_star	Atlantic	(28.15,28.2]	-0.9737353	-0.9754740	-0.9719966
phosphate_star	Atlantic	(28.2, Inf]	-0.9499091	-0.9671299	-0.9326883
phosphate_star	Indo-Pacific	(-Inf,26]	0.0524677	0.0397431	0.0651923
phosphate_star	Indo-Pacific	(26,26.5]	-0.8502910	-0.8514175	-0.8491645
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8725618	-0.8867279	-0.8583957
phosphate_star	Indo-Pacific	(26.75,27]	-0.7858808	-0.8151597	-0.7566019
phosphate_star	Indo-Pacific	(27,27.25]	-0.2555514	-0.3248100	-0.1862928
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3405976	-0.3494898	-0.3317055
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5754774	-0.5828285	-0.5681262
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5773605	-0.5988390	-0.5558820
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3673903	-0.3682662	-0.3665145
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2861266	-0.3149664	-0.2572869
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3338880	-0.4012917	-0.2664844
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6026006	-0.6255757	-0.5796255
sal	Atlantic	(-Inf,26]	0.3221439	0.3082745	0.3360133
sal	Atlantic	(26,26.5]	0.6717568	0.6613261	0.6821875
sal	Atlantic	(26.5,26.75]	0.7366486	0.7276464	0.7456509
sal	Atlantic	(26.75,27]	0.8926523	0.8924890	0.8928155
sal	Atlantic	(27,27.25]	0.9149851	0.9132041	0.9167660
sal	Atlantic	(27.25,27.5]	0.8981324	0.8816918	0.9145731
sal	Atlantic	(27.5,27.75]	0.7822278	0.7807661	0.7836895
sal	Atlantic	(27.75,27.85]	0.6281435	0.6217054	0.6345817
sal	Atlantic	(27.85,27.95]	0.4443304	0.4313637	0.4572971
sal	Atlantic	(27.95,28.05]	0.6206636	0.6203079	0.6210193
sal	Atlantic	(28.05,28.1]	0.6668032	0.6646533	0.6689530
sal	Atlantic	(28.1,28.15]	0.7538327	0.7525542	0.7551111
sal	Atlantic	(28.15,28.2]	0.9146512	0.9080451	0.9212573
sal	Atlantic	(28.2, Inf]	0.9288061	0.9123193	0.9452928
sal	Indo-Pacific	(-Inf,26]	0.0155330	-0.0113716	0.0424376
sal	Indo-Pacific	(26,26.5]	0.5993264	0.5617130	0.6369398
sal	Indo-Pacific	(26.5,26.75]	0.6953506	0.6612984	0.7294028
sal	Indo-Pacific	(26.75,27]	0.5913284	0.5359951	0.6466618
sal	Indo-Pacific	(27,27.25]	-0.1908241	-0.2788399	-0.1028083
sal	Indo-Pacific	(27.25,27.5]	-0.3797158	-0.4296578	-0.3297738
sal	Indo-Pacific	(27.5,27.75]	-0.2574271	-0.2802987	-0.2345555
sal	Indo-Pacific	(27.75,27.85]	-0.3436621	-0.3510001	-0.3363242
sal	Indo-Pacific	(27.85,27.95]	-0.2799243	-0.3090452	-0.2508033
sal	Indo-Pacific	(27.95,28.05]	-0.0496616	-0.0772779	-0.0220453
sal	Indo-Pacific	(28.05,28.1]	0.0731009	0.0113796	0.1348223
sal	Indo-Pacific	(28.1, Inf]	0.3151444	0.3007023	0.3295866
silicate	Atlantic	(-Inf,26]	-0.0399786	-0.0628887	-0.0170686
silicate	Atlantic	(26,26.5]	-0.4760325	-0.5186905	-0.4333744
silicate	Atlantic	(26.5,26.75]	-0.5807670	-0.6265927	-0.5349412
silicate	Atlantic	(26.75,27]	-0.6272427	-0.6488074	-0.6056781
silicate	Atlantic	(27,27.25]	-0.8278241	-0.8570717	-0.7985766
silicate	Atlantic	(27.25,27.5]	-0.9055338	-0.9155694	-0.8954983
silicate	Atlantic	(27.5,27.75]	-0.8828986	-0.8928527	-0.8729445
silicate	Atlantic	(27.75,27.85]	-0.8974833	-0.9046953	-0.8902714
silicate	Atlantic	(27.85,27.95]	-0.8752783	-0.8755423	-0.8750144
silicate	Atlantic	(27.95,28.05]	-0.8649797	-0.8680471	-0.8619123
silicate	Atlantic	(28.05,28.1]	-0.8567153	-0.8592489	-0.8541817
silicate	Atlantic	(28.1,28.15]	-0.8858343	-0.8868327	-0.8848359
silicate	Atlantic	(28.15,28.2]	-0.9666031	-0.9686963	-0.9645099
silicate	Atlantic	(28.2, Inf]	-0.9207641	-0.9464678	-0.8950603
silicate	Indo-Pacific	(-Inf,26]	-0.1174613	-0.1288903	-0.1060323
silicate	Indo-Pacific	(26,26.5]	-0.7371888	-0.7390563	-0.7353213
silicate	Indo-Pacific	(26.5,26.75]	-0.7649771	-0.7686986	-0.7612556
silicate	Indo-Pacific	(26.75,27]	-0.6670918	-0.6762788	-0.6579048
silicate	Indo-Pacific	(27,27.25]	0.2596248	0.2417393	0.2775103
silicate	Indo-Pacific	(27.25,27.5]	0.7896005	0.7894714	0.7897297
silicate	Indo-Pacific	(27.5,27.75]	0.8625290	0.8552913	0.8697668
silicate	Indo-Pacific	(27.75,27.85]	0.8331634	0.8250051	0.8413216
silicate	Indo-Pacific	(27.85,27.95]	0.7448547	0.7259618	0.7637476
silicate	Indo-Pacific	(27.95,28.05]	0.4858729	0.4280920	0.5436537
silicate	Indo-Pacific	(28.05,28.1]	0.1967644	0.1122504	0.2812784
silicate	Indo-Pacific	(28.1, Inf]	-0.0123915	-0.0950557	0.0702726
temp	Atlantic	(-Inf,26]	0.1645954	0.1642023	0.1649885
temp	Atlantic	(26,26.5]	0.6562940	0.6522009	0.6603872
temp	Atlantic	(26.5,26.75]	0.7166440	0.7033765	0.7299114
temp	Atlantic	(26.75,27]	0.8750750	0.8661905	0.8839596
temp	Atlantic	(27,27.25]	0.8869663	0.8858750	0.8880576
temp	Atlantic	(27.25,27.5]	0.8720829	0.8554423	0.8887235
temp	Atlantic	(27.5,27.75]	0.7465229	0.7364656	0.7565802
temp	Atlantic	(27.75,27.85]	0.6273863	0.6157054	0.6390673
temp	Atlantic	(27.85,27.95]	0.4572524	0.4483549	0.4661499
temp	Atlantic	(27.95,28.05]	0.5768658	0.5710351	0.5826966
temp	Atlantic	(28.05,28.1]	0.5758026	0.5723675	0.5792377
temp	Atlantic	(28.1,28.15]	0.6115432	0.6051110	0.6179755
temp	Atlantic	(28.15,28.2]	0.6866775	0.6575732	0.7157818
temp	Atlantic	(28.2, Inf]	0.1488937	0.0466578	0.2511296
temp	Indo-Pacific	(-Inf,26]	-0.3739985	-0.3855801	-0.3624169
temp	Indo-Pacific	(26,26.5]	0.6001099	0.5740518	0.6261680
temp	Indo-Pacific	(26.5,26.75]	0.6745819	0.6384284	0.7107354
temp	Indo-Pacific	(26.75,27]	0.6169475	0.5652124	0.6686827
temp	Indo-Pacific	(27,27.25]	-0.0618140	-0.1536396	0.0300116
temp	Indo-Pacific	(27.25,27.5]	-0.3456085	-0.3855015	-0.3057155
temp	Indo-Pacific	(27.5,27.75]	-0.3049522	-0.3212607	-0.2886438
temp	Indo-Pacific	(27.75,27.85]	-0.2598464	-0.2653563	-0.2543365
temp	Indo-Pacific	(27.85,27.95]	-0.1550274	-0.1629439	-0.1471109
temp	Indo-Pacific	(27.95,28.05]	0.0471295	0.0376057	0.0566533
temp	Indo-Pacific	(28.05,28.1]	0.1905565	0.1746122	0.2065007
temp	Indo-Pacific	(28.1, Inf]	0.4412979	0.3378917	0.5447041

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

15 April, 2021