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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
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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.
html	3ebff89	jens-daniel-mueller	2020-12-12	Build site.
html	5d96d3c	jens-daniel-mueller	2020-12-11	Build site.
Rmd	3d33a37	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
html	b01a367	jens-daniel-mueller	2020-12-09	Build site.
html	24a632f	jens-daniel-mueller	2020-12-07	Build site.
html	92dca91	jens-daniel-mueller	2020-12-07	Build site.
html	6a8004b	jens-daniel-mueller	2020-12-07	Build site.
html	70bf1a5	jens-daniel-mueller	2020-12-07	Build site.
html	7555355	jens-daniel-mueller	2020-12-07	Build site.
html	143d6fa	jens-daniel-mueller	2020-12-07	Build site.
Rmd	33b1973	jens-daniel-mueller	2020-12-07	run with WOCE flag 2 only
html	abc6818	jens-daniel-mueller	2020-12-03	Build site.
Rmd	992ba15	jens-daniel-mueller	2020-12-03	rebuild with variable inventory depth
html	c8c2e7b	jens-daniel-mueller	2020-12-03	Build site.
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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html	c987de1	jens-daniel-mueller	2020-12-02	Build site.
html	f8358f8	jens-daniel-mueller	2020-12-02	Build site.
html	b03ddb8	jens-daniel-mueller	2020-12-02	Build site.
Rmd	9183e8f	jens-daniel-mueller	2020-12-02	revised assignment of era to eras
html	22d0127	jens-daniel-mueller	2020-12-01	Build site.
html	0ff728b	jens-daniel-mueller	2020-12-01	Build site.
html	91435ae	jens-daniel-mueller	2020-12-01	Build site.
Rmd	17d09be	jens-daniel-mueller	2020-12-01	auto eras naming
html	cf19652	jens-daniel-mueller	2020-11-30	Build site.
Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
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).

  # ggplot(data = df) + 
  # geom_bar(aes(mpg)) + 
  # labs(title = paste(Carb: unique(.x$carb))) + 
  # theme_bw()

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$basin),
      "| era: all | subsample size: 5 % of",
      nrow(df),
      "data source:",
      unique(df$data_source)
    ))
}

GLODAP %>%
  group_split(basin, data_source) %>%
  map(plot_fun)

[[1]]

Version	Author	Date
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
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
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
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)

# for (i_basin in unique(GLODAP$basin)) {
# # i_basin <- unique(GLODAP$basin)[1]
# 
# print(
# GLODAP %>% 
#   filter(basin == i_basin) %>% 
#   sample_frac(0.05) %>% 
#   ggpairs(columns = c(params_local$MLR_target,
#                       params_local$MLR_predictors),
#           upper = "blank",
#           ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
#       scale_fill_viridis_d(direction = -1) +
#       scale_color_viridis_d(direction = -1) +
#       labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
#                          nrow(GLODAP %>% filter(basin == i_basin))))
# )
# }

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
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]	0.9226870	0.9223434	0.9230307
aou + nitrate	Atlantic	(26,26.5]	0.8687300	0.8624233	0.8750367
aou + nitrate	Atlantic	(26.5,26.75]	0.9625322	0.9586815	0.9663828
aou + nitrate	Atlantic	(26.75,27]	0.9320589	0.9219980	0.9421199
aou + nitrate	Atlantic	(27,27.25]	0.8845464	0.8293762	0.9397166
aou + nitrate	Atlantic	(27.25,27.5]	0.7896911	0.7481600	0.8312222
aou + nitrate	Atlantic	(27.5,27.75]	0.8730899	0.8549555	0.8912242
aou + nitrate	Atlantic	(27.75,27.85]	0.9427931	0.9419658	0.9436205
aou + nitrate	Atlantic	(27.85,27.95]	0.9496286	0.9425671	0.9566901
aou + nitrate	Atlantic	(27.95,28.05]	0.9419159	0.9357882	0.9480436
aou + nitrate	Atlantic	(28.05,28.1]	0.9562416	0.9302959	0.9821873
aou + nitrate	Atlantic	(28.1,28.15]	0.9698547	0.9561265	0.9835828
aou + nitrate	Atlantic	(28.15,28.2]	0.9687666	0.9452246	0.9923087
aou + nitrate	Atlantic	(28.2, Inf]	0.7353261	0.6609339	0.8097184
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9323854	0.8983268	0.9664441
aou + nitrate	Indo-Pacific	(26,26.5]	0.9039243	0.9010532	0.9067953
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9175353	0.9106905	0.9243801
aou + nitrate	Indo-Pacific	(26.75,27]	0.9397828	0.9397419	0.9398238
aou + nitrate	Indo-Pacific	(27,27.25]	0.9440594	0.9239362	0.9641825
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9331051	0.8930554	0.9731548
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9381628	0.9011770	0.9751485
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9670230	0.9510920	0.9829539
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9709940	0.9657921	0.9761960
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9558759	0.9508028	0.9609489
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9361600	0.9225976	0.9497224
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.8200144	0.7707808	0.8692479
aou + phosphate	Atlantic	(-Inf,26]	0.6955766	0.5909172	0.8002361
aou + phosphate	Atlantic	(26,26.5]	0.6735995	0.6225445	0.7246546
aou + phosphate	Atlantic	(26.5,26.75]	0.9018103	0.8919226	0.9116979
aou + phosphate	Atlantic	(26.75,27]	0.8696504	0.8473989	0.8919019
aou + phosphate	Atlantic	(27,27.25]	0.8318515	0.7537805	0.9099226
aou + phosphate	Atlantic	(27.25,27.5]	0.7374970	0.6919796	0.7830145
aou + phosphate	Atlantic	(27.5,27.75]	0.8463095	0.8350726	0.8575464
aou + phosphate	Atlantic	(27.75,27.85]	0.9280142	0.9254361	0.9305923
aou + phosphate	Atlantic	(27.85,27.95]	0.9417366	0.9363880	0.9470852
aou + phosphate	Atlantic	(27.95,28.05]	0.9388157	0.9301569	0.9474745
aou + phosphate	Atlantic	(28.05,28.1]	0.9490402	0.9237351	0.9743453
aou + phosphate	Atlantic	(28.1,28.15]	0.9663191	0.9520753	0.9805629
aou + phosphate	Atlantic	(28.15,28.2]	0.9686035	0.9436948	0.9935122
aou + phosphate	Atlantic	(28.2, Inf]	0.7230298	0.6515166	0.7945430
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9454996	0.9136400	0.9773591
aou + phosphate	Indo-Pacific	(26,26.5]	0.9572991	0.9446166	0.9699816
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9513857	0.9380574	0.9647139
aou + phosphate	Indo-Pacific	(26.75,27]	0.9420491	0.9382555	0.9458428
aou + phosphate	Indo-Pacific	(27,27.25]	0.9596307	0.9501389	0.9691226
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9656595	0.9501857	0.9811332
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9695415	0.9565366	0.9825464
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9781964	0.9714423	0.9849505
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9759585	0.9740499	0.9778671
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9606756	0.9548475	0.9665037
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9386934	0.9233737	0.9540131
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.8001376	0.7391850	0.8610902
aou + phosphate_star	Atlantic	(-Inf,26]	-0.0492245	-0.4618282	0.3633792
aou + phosphate_star	Atlantic	(26,26.5]	0.1931901	0.0473665	0.3390136
aou + phosphate_star	Atlantic	(26.5,26.75]	0.5643796	0.5012871	0.6274722
aou + phosphate_star	Atlantic	(26.75,27]	0.3661609	0.2178228	0.5144990
aou + phosphate_star	Atlantic	(27,27.25]	0.3214077	0.0452344	0.5975810
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2315078	0.0941106	0.3689051
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5407209	0.4982603	0.5831816
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7069241	0.6838845	0.7299636
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6693709	0.6636809	0.6750609
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7347200	0.7300699	0.7393700
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8287701	0.7532057	0.9043345
aou + phosphate_star	Atlantic	(28.1,28.15]	0.8800645	0.8340739	0.9260551
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8878205	0.7950893	0.9805516
aou + phosphate_star	Atlantic	(28.2, Inf]	0.2558796	0.0291308	0.4826284
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6985772	0.5929599	0.8041944
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.6356927	0.6270513	0.6443342
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5328292	0.5238021	0.5418564
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.3823952	0.3142893	0.4505010
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.1795309	0.1135775	0.2454843
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3421907	-0.4049798	-0.2794017
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5205807	-0.5368338	-0.5043276
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3705106	-0.4270509	-0.3139704
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1007221	-0.1960352	-0.0054091
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.2036067	0.1387757	0.2684377
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.2217539	0.1369463	0.3065615
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6544725	-0.7858645	-0.5230804
aou + silicate	Atlantic	(-Inf,26]	0.4195600	0.2481901	0.5909300
aou + silicate	Atlantic	(26,26.5]	0.6122949	0.5623118	0.6622779
aou + silicate	Atlantic	(26.5,26.75]	0.8950633	0.8882000	0.9019266
aou + silicate	Atlantic	(26.75,27]	0.8329226	0.7719290	0.8939162
aou + silicate	Atlantic	(27,27.25]	0.8113468	0.7037310	0.9189625
aou + silicate	Atlantic	(27.25,27.5]	0.5756942	0.4358999	0.7154886
aou + silicate	Atlantic	(27.5,27.75]	0.6451264	0.6111879	0.6790648
aou + silicate	Atlantic	(27.75,27.85]	0.8388288	0.8382849	0.8393727
aou + silicate	Atlantic	(27.85,27.95]	0.8801183	0.8773106	0.8829259
aou + silicate	Atlantic	(27.95,28.05]	0.9221722	0.9165580	0.9277865
aou + silicate	Atlantic	(28.05,28.1]	0.9530768	0.9398472	0.9663063
aou + silicate	Atlantic	(28.1,28.15]	0.9758838	0.9692284	0.9825391
aou + silicate	Atlantic	(28.15,28.2]	0.9808345	0.9697239	0.9919451
aou + silicate	Atlantic	(28.2, Inf]	0.7336274	0.7071506	0.7601041
aou + silicate	Indo-Pacific	(-Inf,26]	0.7555245	0.7005881	0.8104609
aou + silicate	Indo-Pacific	(26,26.5]	0.7097088	0.6815716	0.7378460
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6896318	0.6606321	0.7186315
aou + silicate	Indo-Pacific	(26.75,27]	0.7584937	0.7564136	0.7605738
aou + silicate	Indo-Pacific	(27,27.25]	0.8542759	0.8043581	0.9041938
aou + silicate	Indo-Pacific	(27.25,27.5]	0.8925887	0.8501340	0.9350434
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9156748	0.8820913	0.9492583
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9703803	0.9658838	0.9748767
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9628046	0.9613261	0.9642830
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9475373	0.9473428	0.9477318
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9472079	0.9460317	0.9483840
aou + silicate	Indo-Pacific	(28.1, Inf]	0.7622863	0.7532753	0.7712973
nitrate + phosphate	Atlantic	(-Inf,26]	0.8033182	0.7785402	0.8280962
nitrate + phosphate	Atlantic	(26,26.5]	0.9007844	0.8919077	0.9096611
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9789924	0.9767695	0.9812154
nitrate + phosphate	Atlantic	(26.75,27]	0.9840066	0.9818573	0.9861560
nitrate + phosphate	Atlantic	(27,27.25]	0.9890520	0.9869789	0.9911252
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9931294	0.9923415	0.9939174
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9928735	0.9909766	0.9947704
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9922064	0.9893625	0.9950503
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9900392	0.9871921	0.9928862
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9916589	0.9889169	0.9944009
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9930086	0.9900556	0.9959616
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9965400	0.9955459	0.9975342
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9964161	0.9957035	0.9971287
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9746170	0.9680327	0.9812014
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9690623	0.9628706	0.9752540
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9450036	0.9263999	0.9636073
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9597740	0.9500803	0.9694677
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9884348	0.9860252	0.9908443
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9878798	0.9823247	0.9934349
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9822673	0.9709595	0.9935750
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9756830	0.9603289	0.9910372
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9787872	0.9662676	0.9913069
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9812629	0.9725355	0.9899904
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9775817	0.9707939	0.9843694
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9706769	0.9602827	0.9810711
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9332841	0.8960783	0.9704899
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1307927	-0.1795633	0.4411487
nitrate + phosphate_star	Atlantic	(26,26.5]	0.5857643	0.4921763	0.6793523
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.7549509	0.7135490	0.7963528
nitrate + phosphate_star	Atlantic	(26.75,27]	0.6658954	0.5699340	0.7618567
nitrate + phosphate_star	Atlantic	(27,27.25]	0.7074257	0.5876985	0.8271528
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7716872	0.7264085	0.8169658
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8684075	0.8627025	0.8741126
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8881822	0.8778485	0.8985159
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8484413	0.8271513	0.8697312
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9016444	0.8839950	0.9192938
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9431652	0.9355642	0.9507663
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9626006	0.9545181	0.9706830
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9671784	0.9439881	0.9903687
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.8020638	0.7443228	0.8598048
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8664610	0.8455325	0.8873895
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.7994699	0.7535583	0.8453815
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7403620	0.7077856	0.7729385
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6453226	0.5845576	0.7060877
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.4567145	0.4454426	0.4679864
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.0321599	-0.0793379	0.0150181
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2423618	-0.3641224	-0.1206012
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1805918	-0.2879930	-0.0731905
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0735243	-0.0188267	0.1658753
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4172208	0.3538725	0.4805690
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.4773199	0.4150099	0.5396299
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1841311	-0.2954673	-0.0727949
nitrate + silicate	Atlantic	(-Inf,26]	0.5688474	0.4629601	0.6747347
nitrate + silicate	Atlantic	(26,26.5]	0.7915115	0.7677941	0.8152289
nitrate + silicate	Atlantic	(26.5,26.75]	0.9575187	0.9500595	0.9649778
nitrate + silicate	Atlantic	(26.75,27]	0.9246367	0.8871960	0.9620775
nitrate + silicate	Atlantic	(27,27.25]	0.9448676	0.9129837	0.9767515
nitrate + silicate	Atlantic	(27.25,27.5]	0.8961573	0.8593435	0.9329710
nitrate + silicate	Atlantic	(27.5,27.75]	0.8813192	0.8783273	0.8843111
nitrate + silicate	Atlantic	(27.75,27.85]	0.9475754	0.9420216	0.9531291
nitrate + silicate	Atlantic	(27.85,27.95]	0.9671206	0.9599939	0.9742473
nitrate + silicate	Atlantic	(27.95,28.05]	0.9801684	0.9743878	0.9859491
nitrate + silicate	Atlantic	(28.05,28.1]	0.9877640	0.9839399	0.9915880
nitrate + silicate	Atlantic	(28.1,28.15]	0.9914502	0.9913797	0.9915207
nitrate + silicate	Atlantic	(28.15,28.2]	0.9886860	0.9837187	0.9936534
nitrate + silicate	Atlantic	(28.2, Inf]	0.9299663	0.8978399	0.9620927
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8784824	0.8749068	0.8820581
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8478427	0.8454517	0.8502338
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8471996	0.8385518	0.8558474
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8587472	0.8580398	0.8594546
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8859287	0.8534183	0.9184391
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8685904	0.8229711	0.9142098
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.8735799	0.8276151	0.9195446
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9393863	0.9208337	0.9579390
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9523567	0.9417372	0.9629761
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9462851	0.9426849	0.9498853
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9438398	0.9434996	0.9441801
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8190453	0.7806750	0.8574157
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.6329081	0.4287032	0.8371131
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8503806	0.8092645	0.8914968
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8645617	0.8376348	0.8914886
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7740915	0.7023117	0.8458713
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7827613	0.6899298	0.8755928
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8247468	0.7830390	0.8664547
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9028568	0.8897993	0.9159143
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9173858	0.9017273	0.9330443
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8778534	0.8662254	0.8894813
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9197458	0.9060132	0.9334785
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9611477	0.9469111	0.9753843
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9718735	0.9623364	0.9814106
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9730346	0.9504984	0.9955707
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.8436200	0.7757768	0.9114632
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8741386	0.8520046	0.8962726
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.8270896	0.8087490	0.8454301
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7631937	0.7418906	0.7844967
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.6664708	0.6032339	0.7297077
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.4426896	0.4119722	0.4734071
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1059796	-0.1120803	-0.0998790
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3190072	-0.3853471	-0.2526673
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.1861011	-0.2731686	-0.0990336
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.1058549	0.0046823	0.2070276
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4587915	0.3831791	0.5344039
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5378469	0.5006672	0.5750266
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0949300	-0.1689453	-0.0209146
sal + aou	Atlantic	(-Inf,26]	-0.0604757	-0.4014229	0.2804715
sal + aou	Atlantic	(26,26.5]	-0.1041208	-0.2513896	0.0431479
sal + aou	Atlantic	(26.5,26.75]	-0.4703757	-0.5492884	-0.3914630
sal + aou	Atlantic	(26.75,27]	-0.3089364	-0.4476758	-0.1701971
sal + aou	Atlantic	(27,27.25]	-0.3184242	-0.5933493	-0.0434992
sal + aou	Atlantic	(27.25,27.5]	-0.2329037	-0.3672010	-0.0986065
sal + aou	Atlantic	(27.5,27.75]	-0.3767965	-0.4384595	-0.3151334
sal + aou	Atlantic	(27.75,27.85]	-0.4419620	-0.4496674	-0.4342567
sal + aou	Atlantic	(27.85,27.95]	-0.3083350	-0.3977211	-0.2189489
sal + aou	Atlantic	(27.95,28.05]	-0.4045514	-0.5974104	-0.2116924
sal + aou	Atlantic	(28.05,28.1]	-0.6948700	-0.7615977	-0.6281423
sal + aou	Atlantic	(28.1,28.15]	-0.8219133	-0.9010498	-0.7427768
sal + aou	Atlantic	(28.15,28.2]	-0.8211578	-0.9564049	-0.6859106
sal + aou	Atlantic	(28.2, Inf]	-0.2965262	-0.5233864	-0.0696661
sal + aou	Indo-Pacific	(-Inf,26]	-0.0844720	-0.1253526	-0.0435914
sal + aou	Indo-Pacific	(26,26.5]	-0.1659490	-0.3105932	-0.0213048
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1935583	-0.3312718	-0.0558449
sal + aou	Indo-Pacific	(26.75,27]	-0.1764721	-0.3483910	-0.0045531
sal + aou	Indo-Pacific	(27,27.25]	-0.0902730	-0.2684621	0.0879162
sal + aou	Indo-Pacific	(27.25,27.5]	0.0854163	-0.1034381	0.2742706
sal + aou	Indo-Pacific	(27.5,27.75]	0.0111084	-0.1986010	0.2208177
sal + aou	Indo-Pacific	(27.75,27.85]	-0.2451517	-0.4425290	-0.0477745
sal + aou	Indo-Pacific	(27.85,27.95]	-0.2761662	-0.3429719	-0.2093606
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3100006	-0.3667990	-0.2532023
sal + aou	Indo-Pacific	(28.05,28.1]	-0.2082894	-0.3497511	-0.0668278
sal + aou	Indo-Pacific	(28.1, Inf]	0.3914976	0.2944042	0.4885911
sal + nitrate	Atlantic	(-Inf,26]	-0.1828080	-0.4139002	0.0482841
sal + nitrate	Atlantic	(26,26.5]	-0.4634701	-0.5691001	-0.3578400
sal + nitrate	Atlantic	(26.5,26.75]	-0.6676099	-0.7253485	-0.6098714
sal + nitrate	Atlantic	(26.75,27]	-0.6074128	-0.6966832	-0.5181425
sal + nitrate	Atlantic	(27,27.25]	-0.6938296	-0.8168277	-0.5708315
sal + nitrate	Atlantic	(27.25,27.5]	-0.7603717	-0.8052199	-0.7155234
sal + nitrate	Atlantic	(27.5,27.75]	-0.7043599	-0.7394768	-0.6692430
sal + nitrate	Atlantic	(27.75,27.85]	-0.6579070	-0.6617443	-0.6540696
sal + nitrate	Atlantic	(27.85,27.95]	-0.5422830	-0.6394256	-0.4451404
sal + nitrate	Atlantic	(27.95,28.05]	-0.6272488	-0.8090636	-0.4454340
sal + nitrate	Atlantic	(28.05,28.1]	-0.8267972	-0.8426123	-0.8109822
sal + nitrate	Atlantic	(28.1,28.15]	-0.9144007	-0.9417212	-0.8870803
sal + nitrate	Atlantic	(28.15,28.2]	-0.9118208	-0.9562917	-0.8673499
sal + nitrate	Atlantic	(28.2, Inf]	-0.8064996	-0.8758876	-0.7371115
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3111320	-0.3323981	-0.2898660
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4503513	-0.6158410	-0.2848616
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4841967	-0.6365892	-0.3318042
sal + nitrate	Indo-Pacific	(26.75,27]	-0.4473431	-0.5959128	-0.2987734
sal + nitrate	Indo-Pacific	(27,27.25]	-0.3315519	-0.4338837	-0.2292200
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.1468093	-0.1968646	-0.0967540
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.2052251	-0.2840243	-0.1264258
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.3896947	-0.5069952	-0.2723942
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4154571	-0.4630678	-0.3678465
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.4998675	-0.5385086	-0.4612265
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.4533514	-0.5695075	-0.3371953
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.0265500	-0.1243398	0.1774398
sal + phosphate	Atlantic	(-Inf,26]	-0.6216180	-0.7644580	-0.4787780
sal + phosphate	Atlantic	(26,26.5]	-0.7697664	-0.8187974	-0.7207354
sal + phosphate	Atlantic	(26.5,26.75]	-0.7933917	-0.8353724	-0.7514110
sal + phosphate	Atlantic	(26.75,27]	-0.7236381	-0.7889461	-0.6583301
sal + phosphate	Atlantic	(27,27.25]	-0.7650258	-0.8552104	-0.6748412
sal + phosphate	Atlantic	(27.25,27.5]	-0.8113454	-0.8516663	-0.7710245
sal + phosphate	Atlantic	(27.5,27.75]	-0.7509364	-0.7936052	-0.7082675
sal + phosphate	Atlantic	(27.75,27.85]	-0.6965175	-0.7053709	-0.6876641
sal + phosphate	Atlantic	(27.85,27.95]	-0.5606997	-0.6501857	-0.4712138
sal + phosphate	Atlantic	(27.95,28.05]	-0.6264342	-0.8177143	-0.4351541
sal + phosphate	Atlantic	(28.05,28.1]	-0.8345026	-0.8530927	-0.8159124
sal + phosphate	Atlantic	(28.1,28.15]	-0.9213713	-0.9475433	-0.8951993
sal + phosphate	Atlantic	(28.15,28.2]	-0.9108781	-0.9488101	-0.8729460
sal + phosphate	Atlantic	(28.2, Inf]	-0.8175899	-0.8875313	-0.7476484
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.1668974	-0.1778301	-0.1559648
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3846437	-0.5482814	-0.2210059
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.4382619	-0.5980180	-0.2785058
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4524422	-0.6152753	-0.2896092
sal + phosphate	Indo-Pacific	(27,27.25]	-0.3024991	-0.4426221	-0.1623760
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.0485080	-0.1722476	0.0752317
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0728653	-0.2311201	0.0853894
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.2744088	-0.4554961	-0.0933215
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3418245	-0.4315316	-0.2521174
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.4580300	-0.5253260	-0.3907339
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.4449786	-0.5548635	-0.3350937
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.0011222	-0.1261308	0.1283752
sal + phosphate_star	Atlantic	(-Inf,26]	-0.9042797	-0.9075323	-0.9010270
sal + phosphate_star	Atlantic	(26,26.5]	-0.9658174	-0.9674854	-0.9641493
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9794474	-0.9838895	-0.9750053
sal + phosphate_star	Atlantic	(26.75,27]	-0.9811878	-0.9850669	-0.9773086
sal + phosphate_star	Atlantic	(27,27.25]	-0.9780312	-0.9821722	-0.9738901
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9811742	-0.9812593	-0.9810891
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9161993	-0.9367231	-0.8956756
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8830689	-0.8879321	-0.8782058
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8355864	-0.8743158	-0.7968571
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8238897	-0.9372547	-0.7105248
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9095695	-0.9537909	-0.8653481
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9680733	-0.9691280	-0.9670185
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9581979	-0.9659532	-0.9504425
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9438606	-0.9567893	-0.9309318
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4343462	-0.4627518	-0.4059405
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.7659394	-0.8413250	-0.6905539
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8561396	-0.9151687	-0.7971105
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.9065728	-0.9331243	-0.8800212
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8650947	-0.8677534	-0.8624361
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6849683	-0.8140415	-0.5558951
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4862896	-0.7194120	-0.2531672
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3097577	-0.5065861	-0.1129293
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5069429	-0.5343555	-0.4795303
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7320051	-0.7760224	-0.6879877
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8352127	-0.8584065	-0.8120188
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.7121911	-0.8137440	-0.6106383
sal + silicate	Atlantic	(-Inf,26]	-0.6917557	-0.7256421	-0.6578693
sal + silicate	Atlantic	(26,26.5]	-0.6490103	-0.6500887	-0.6479320
sal + silicate	Atlantic	(26.5,26.75]	-0.7249912	-0.7504066	-0.6995758
sal + silicate	Atlantic	(26.75,27]	-0.6422694	-0.7086625	-0.5758763
sal + silicate	Atlantic	(27,27.25]	-0.7117000	-0.8059459	-0.6174541
sal + silicate	Atlantic	(27.25,27.5]	-0.8145059	-0.8240034	-0.8050084
sal + silicate	Atlantic	(27.5,27.75]	-0.7211218	-0.7221000	-0.7201436
sal + silicate	Atlantic	(27.75,27.85]	-0.7010641	-0.7467130	-0.6554152
sal + silicate	Atlantic	(27.85,27.95]	-0.6451497	-0.7368319	-0.5534674
sal + silicate	Atlantic	(27.95,28.05]	-0.6745694	-0.8384408	-0.5106980
sal + silicate	Atlantic	(28.05,28.1]	-0.8483515	-0.8630473	-0.8336556
sal + silicate	Atlantic	(28.1,28.15]	-0.9028962	-0.9438539	-0.8619385
sal + silicate	Atlantic	(28.15,28.2]	-0.8753966	-0.9592375	-0.7915558
sal + silicate	Atlantic	(28.2, Inf]	-0.7216223	-0.9261117	-0.5171328
sal + silicate	Indo-Pacific	(-Inf,26]	-0.4836855	-0.5397282	-0.4276429
sal + silicate	Indo-Pacific	(26,26.5]	-0.5705860	-0.7066665	-0.4345055
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6870539	-0.8066906	-0.5674172
sal + silicate	Indo-Pacific	(26.75,27]	-0.6615432	-0.7781803	-0.5449062
sal + silicate	Indo-Pacific	(27,27.25]	-0.4776494	-0.5732267	-0.3820720
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1917375	-0.3075598	-0.0759153
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.1232774	-0.2245819	-0.0219729
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2771427	-0.4418998	-0.1123857
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3164483	-0.3913190	-0.2415777
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.3777381	-0.4231413	-0.3323349
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.3404589	-0.4422347	-0.2386832
sal + silicate	Indo-Pacific	(28.1, Inf]	0.1229414	0.0204202	0.2254627
sal + temp	Atlantic	(-Inf,26]	0.9007773	0.8508285	0.9507260
sal + temp	Atlantic	(26,26.5]	0.9603603	0.9542685	0.9664520
sal + temp	Atlantic	(26.5,26.75]	0.9900763	0.9900362	0.9901164
sal + temp	Atlantic	(26.75,27]	0.9818916	0.9817812	0.9820021
sal + temp	Atlantic	(27,27.25]	0.9791045	0.9781217	0.9800873
sal + temp	Atlantic	(27.25,27.5]	0.9752773	0.9728826	0.9776721
sal + temp	Atlantic	(27.5,27.75]	0.9690856	0.9634909	0.9746803
sal + temp	Atlantic	(27.75,27.85]	0.9807817	0.9765367	0.9850267
sal + temp	Atlantic	(27.85,27.95]	0.9385904	0.9345248	0.9426561
sal + temp	Atlantic	(27.95,28.05]	0.8840837	0.8252800	0.9428875
sal + temp	Atlantic	(28.05,28.1]	0.9525126	0.9317143	0.9733109
sal + temp	Atlantic	(28.1,28.15]	0.9622534	0.9538613	0.9706455
sal + temp	Atlantic	(28.15,28.2]	0.9016217	0.9003822	0.9028612
sal + temp	Atlantic	(28.2, Inf]	0.6303637	0.5478823	0.7128451
sal + temp	Indo-Pacific	(-Inf,26]	0.7303765	0.6940101	0.7667429
sal + temp	Indo-Pacific	(26,26.5]	0.9389264	0.9385874	0.9392655
sal + temp	Indo-Pacific	(26.5,26.75]	0.9819764	0.9815618	0.9823909
sal + temp	Indo-Pacific	(26.75,27]	0.9806265	0.9787232	0.9825298
sal + temp	Indo-Pacific	(27,27.25]	0.9584938	0.9466284	0.9703591
sal + temp	Indo-Pacific	(27.25,27.5]	0.8977666	0.8438556	0.9516776
sal + temp	Indo-Pacific	(27.5,27.75]	0.7677629	0.6354644	0.9000615
sal + temp	Indo-Pacific	(27.75,27.85]	0.8581522	0.7897008	0.9266036
sal + temp	Indo-Pacific	(27.85,27.95]	0.7972393	0.7529395	0.8415390
sal + temp	Indo-Pacific	(27.95,28.05]	0.7651251	0.7214197	0.8088305
sal + temp	Indo-Pacific	(28.05,28.1]	0.7928108	0.7618749	0.8237468
sal + temp	Indo-Pacific	(28.1, Inf]	0.6226551	0.5946693	0.6506409
silicate + phosphate	Atlantic	(-Inf,26]	0.7638267	0.7329728	0.7946806
silicate + phosphate	Atlantic	(26,26.5]	0.8724896	0.8324752	0.9125039
silicate + phosphate	Atlantic	(26.5,26.75]	0.9638182	0.9553205	0.9723160
silicate + phosphate	Atlantic	(26.75,27]	0.9312217	0.9033451	0.9590983
silicate + phosphate	Atlantic	(27,27.25]	0.9505363	0.9275023	0.9735702
silicate + phosphate	Atlantic	(27.25,27.5]	0.9157939	0.8899223	0.9416654
silicate + phosphate	Atlantic	(27.5,27.75]	0.8948761	0.8944648	0.8952874
silicate + phosphate	Atlantic	(27.75,27.85]	0.9473668	0.9375944	0.9571392
silicate + phosphate	Atlantic	(27.85,27.95]	0.9644658	0.9544040	0.9745276
silicate + phosphate	Atlantic	(27.95,28.05]	0.9777575	0.9696647	0.9858503
silicate + phosphate	Atlantic	(28.05,28.1]	0.9849361	0.9791068	0.9907654
silicate + phosphate	Atlantic	(28.1,28.15]	0.9919820	0.9910242	0.9929397
silicate + phosphate	Atlantic	(28.15,28.2]	0.9869011	0.9800003	0.9938019
silicate + phosphate	Atlantic	(28.2, Inf]	0.9337225	0.8939547	0.9734902
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7998733	0.7793842	0.8203624
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7940389	0.7821102	0.8059676
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8051732	0.7971509	0.8131955
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8659711	0.8645243	0.8674179
silicate + phosphate	Indo-Pacific	(27,27.25]	0.8939438	0.8613795	0.9265081
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8793061	0.8398650	0.9187472
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8775285	0.8355045	0.9195525
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9451316	0.9306067	0.9596565
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9600226	0.9524229	0.9676223
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9541996	0.9496737	0.9587255
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9497778	0.9468301	0.9527256
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7930816	0.7398498	0.8463134
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6268614	0.6254501	0.6282728
silicate + phosphate_star	Atlantic	(26,26.5]	0.7179636	0.7014983	0.7344289
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.8028612	0.7890047	0.8167177
silicate + phosphate_star	Atlantic	(26.75,27]	0.6985794	0.6271351	0.7700236
silicate + phosphate_star	Atlantic	(27,27.25]	0.7287300	0.6387674	0.8186926
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8494665	0.8397087	0.8592244
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8987280	0.8851428	0.9123131
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9142412	0.8978730	0.9306094
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.8986176	0.8760958	0.9211394
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9100882	0.8921578	0.9280186
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9374421	0.9202663	0.9546178
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9502463	0.9318980	0.9685947
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9389490	0.8887100	0.9891881
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7528599	0.5969376	0.9087822
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7808544	0.7719272	0.7897816
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7860860	0.7810947	0.7910774
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8111648	0.8021885	0.8201411
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7414433	0.7152585	0.7676282
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.4712014	0.4704532	0.4719496
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1468558	-0.1520480	-0.1416636
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4088185	-0.4812821	-0.3363549
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3395087	-0.3906734	-0.2883439
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0277415	-0.0439848	0.0994678
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3744239	0.3219071	0.4269408
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.3981607	0.3307489	0.4655724
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2419141	-0.4518548	-0.0319735
temp + aou	Atlantic	(-Inf,26]	-0.1091340	-0.4312522	0.2129841
temp + aou	Atlantic	(26,26.5]	-0.1113331	-0.2216131	-0.0010531
temp + aou	Atlantic	(26.5,26.75]	-0.4861593	-0.5623156	-0.4100029
temp + aou	Atlantic	(26.75,27]	-0.2972864	-0.4355288	-0.1590441
temp + aou	Atlantic	(27,27.25]	-0.2534917	-0.5173363	0.0103529
temp + aou	Atlantic	(27.25,27.5]	-0.1913389	-0.3509790	-0.0316989
temp + aou	Atlantic	(27.5,27.75]	-0.3302769	-0.4155651	-0.2449888
temp + aou	Atlantic	(27.75,27.85]	-0.4390708	-0.4415730	-0.4365686
temp + aou	Atlantic	(27.85,27.95]	-0.2384131	-0.3582619	-0.1185643
temp + aou	Atlantic	(27.95,28.05]	-0.4104689	-0.4791003	-0.3418375
temp + aou	Atlantic	(28.05,28.1]	-0.5500471	-0.6164000	-0.4836942
temp + aou	Atlantic	(28.1,28.15]	-0.6864074	-0.7646327	-0.6081821
temp + aou	Atlantic	(28.15,28.2]	-0.5778139	-0.7646755	-0.3909523
temp + aou	Atlantic	(28.2, Inf]	0.3498207	0.0464338	0.6532075
temp + aou	Indo-Pacific	(-Inf,26]	-0.2584693	-0.2776866	-0.2392519
temp + aou	Indo-Pacific	(26,26.5]	-0.2128754	-0.3628107	-0.0629401
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1686858	-0.3021132	-0.0352584
temp + aou	Indo-Pacific	(26.75,27]	-0.1948596	-0.3415175	-0.0482018
temp + aou	Indo-Pacific	(27,27.25]	-0.1573376	-0.3112096	-0.0034655
temp + aou	Indo-Pacific	(27.25,27.5]	0.0505754	-0.1657151	0.2668660
temp + aou	Indo-Pacific	(27.5,27.75]	0.0502064	-0.1587901	0.2592029
temp + aou	Indo-Pacific	(27.75,27.85]	-0.1154022	-0.2880351	0.0572306
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0004568	-0.0128882	0.0119746
temp + aou	Indo-Pacific	(27.95,28.05]	0.1064455	0.1018888	0.1110022
temp + aou	Indo-Pacific	(28.05,28.1]	0.3181522	0.2263326	0.4099718
temp + aou	Indo-Pacific	(28.1, Inf]	0.8695873	0.8343371	0.9048375
temp + nitrate	Atlantic	(-Inf,26]	-0.1817485	-0.3559507	-0.0075463
temp + nitrate	Atlantic	(26,26.5]	-0.5142702	-0.5942395	-0.4343010
temp + nitrate	Atlantic	(26.5,26.75]	-0.6868028	-0.7410838	-0.6325219
temp + nitrate	Atlantic	(26.75,27]	-0.6034567	-0.6918827	-0.5150307
temp + nitrate	Atlantic	(27,27.25]	-0.6487537	-0.7663766	-0.5311309
temp + nitrate	Atlantic	(27.25,27.5]	-0.7302543	-0.7944698	-0.6660388
temp + nitrate	Atlantic	(27.5,27.75]	-0.6736118	-0.7228218	-0.6244017
temp + nitrate	Atlantic	(27.75,27.85]	-0.6641273	-0.6675094	-0.6607451
temp + nitrate	Atlantic	(27.85,27.95]	-0.4799743	-0.6091149	-0.3508337
temp + nitrate	Atlantic	(27.95,28.05]	-0.5946536	-0.7144104	-0.4748967
temp + nitrate	Atlantic	(28.05,28.1]	-0.7035739	-0.7423451	-0.6648028
temp + nitrate	Atlantic	(28.1,28.15]	-0.8070662	-0.8313883	-0.7827440
temp + nitrate	Atlantic	(28.15,28.2]	-0.6922631	-0.7625924	-0.6219339
temp + nitrate	Atlantic	(28.2, Inf]	-0.1673646	-0.3573355	0.0226063
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.4770573	-0.5837931	-0.3703216
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4982428	-0.6737013	-0.3227843
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4705672	-0.6221707	-0.3189638
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4792710	-0.6080193	-0.3505227
temp + nitrate	Indo-Pacific	(27,27.25]	-0.4183899	-0.5041185	-0.3326613
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.2096885	-0.2978156	-0.1215614
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.1735018	-0.2604612	-0.0865425
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.2580099	-0.3532178	-0.1628020
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1354015	-0.1359112	-0.1348918
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0937134	-0.1078758	-0.0795510
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0670016	-0.0118449	0.1458482
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.5077470	0.5032489	0.5122452
temp + phosphate	Atlantic	(-Inf,26]	-0.5673140	-0.6501244	-0.4845036
temp + phosphate	Atlantic	(26,26.5]	-0.7604195	-0.7760877	-0.7447513
temp + phosphate	Atlantic	(26.5,26.75]	-0.8028245	-0.8422683	-0.7633808
temp + phosphate	Atlantic	(26.75,27]	-0.7120466	-0.7761148	-0.6479784
temp + phosphate	Atlantic	(27,27.25]	-0.7182216	-0.8028561	-0.6335872
temp + phosphate	Atlantic	(27.25,27.5]	-0.7841270	-0.8426943	-0.7255598
temp + phosphate	Atlantic	(27.5,27.75]	-0.7226849	-0.7792880	-0.6660817
temp + phosphate	Atlantic	(27.75,27.85]	-0.7017658	-0.7179962	-0.6855354
temp + phosphate	Atlantic	(27.85,27.95]	-0.4985853	-0.6184413	-0.3787294
temp + phosphate	Atlantic	(27.95,28.05]	-0.6021446	-0.7263287	-0.4779605
temp + phosphate	Atlantic	(28.05,28.1]	-0.7135805	-0.7550709	-0.6720902
temp + phosphate	Atlantic	(28.1,28.15]	-0.8166306	-0.8392581	-0.7940032
temp + phosphate	Atlantic	(28.15,28.2]	-0.6894048	-0.7467009	-0.6321087
temp + phosphate	Atlantic	(28.2, Inf]	-0.1916598	-0.3788823	-0.0044373
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.3832347	-0.4880477	-0.2784216
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4434864	-0.6156743	-0.2712986
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.4258406	-0.5847953	-0.2668859
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4836979	-0.6223955	-0.3450003
temp + phosphate	Indo-Pacific	(27,27.25]	-0.3865343	-0.5028351	-0.2702336
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.1136610	-0.2652302	0.0379082
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.0422262	-0.1983583	0.1139060
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1475457	-0.3010987	0.0060073
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0772265	-0.1094663	-0.0449867
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0618314	-0.0674251	-0.0562377
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0636392	0.0036844	0.1235939
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.4779917	0.4448592	0.5111242
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8144786	-0.8637961	-0.7651611
temp + phosphate_star	Atlantic	(26,26.5]	-0.9565525	-0.9689941	-0.9441109
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9814735	-0.9850904	-0.9778566
temp + phosphate_star	Atlantic	(26.75,27]	-0.9789652	-0.9853950	-0.9725354
temp + phosphate_star	Atlantic	(27,27.25]	-0.9742938	-0.9828978	-0.9656899
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9839511	-0.9854738	-0.9824284
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9156262	-0.9380240	-0.8932285
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8976438	-0.9040708	-0.8912168
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8107227	-0.8706152	-0.7508302
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7888628	-0.8973022	-0.6804234
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8289348	-0.9096026	-0.7482670
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9040290	-0.9086459	-0.8994122
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.7865733	-0.8103013	-0.7628452
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.6087498	-0.6440884	-0.5734113
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6862954	-0.8005022	-0.5720886
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.8334392	-0.9146385	-0.7522398
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8709196	-0.9325840	-0.8092552
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9446628	-0.9619050	-0.9274207
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9347759	-0.9364025	-0.9331493
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7989942	-0.8908830	-0.7071054
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6122909	-0.7927788	-0.4318031
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4111973	-0.5745418	-0.2478528
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.6261923	-0.6829437	-0.5694409
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7139093	-0.7600971	-0.6677215
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6844007	-0.6967541	-0.6720473
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8761958	-0.9362440	-0.8161476
temp + silicate	Atlantic	(-Inf,26]	-0.6148138	-0.7082947	-0.5213329
temp + silicate	Atlantic	(26,26.5]	-0.6184768	-0.6481823	-0.5887714
temp + silicate	Atlantic	(26.5,26.75]	-0.7380452	-0.7615837	-0.7145068
temp + silicate	Atlantic	(26.75,27]	-0.6515930	-0.7167450	-0.5864410
temp + silicate	Atlantic	(27,27.25]	-0.6848756	-0.7670783	-0.6026730
temp + silicate	Atlantic	(27.25,27.5]	-0.8400528	-0.8410158	-0.8390898
temp + silicate	Atlantic	(27.5,27.75]	-0.7556012	-0.7561776	-0.7550248
temp + silicate	Atlantic	(27.75,27.85]	-0.7293460	-0.7677734	-0.6909186
temp + silicate	Atlantic	(27.85,27.95]	-0.6086924	-0.7201453	-0.4972396
temp + silicate	Atlantic	(27.95,28.05]	-0.6834333	-0.7617682	-0.6050985
temp + silicate	Atlantic	(28.05,28.1]	-0.7365947	-0.7437941	-0.7293954
temp + silicate	Atlantic	(28.1,28.15]	-0.7913948	-0.8301741	-0.7526154
temp + silicate	Atlantic	(28.15,28.2]	-0.6445576	-0.7719435	-0.5171716
temp + silicate	Atlantic	(28.2, Inf]	-0.1489459	-0.4537170	0.1558252
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5452259	-0.6553556	-0.4350963
temp + silicate	Indo-Pacific	(26,26.5]	-0.6038650	-0.7399101	-0.4678199
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6777689	-0.8006463	-0.5548914
temp + silicate	Indo-Pacific	(26.75,27]	-0.6758396	-0.7713176	-0.5803615
temp + silicate	Indo-Pacific	(27,27.25]	-0.5388617	-0.6097001	-0.4680232
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.2721351	-0.4178464	-0.1264237
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.2157043	-0.3572101	-0.0741986
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.2075949	-0.3689044	-0.0462853
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1371851	-0.1698372	-0.1045330
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0869739	-0.0990223	-0.0749256
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1469834	0.0754585	0.2185083
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5193036	0.4057233	0.6328838

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
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]	0.7394327	0.6850827	0.7937826
aou	Atlantic	(26,26.5]	0.1953186	0.0592357	0.3314015
aou	Atlantic	(26.5,26.75]	-0.3308002	-0.3912247	-0.2703758
aou	Atlantic	(26.75,27]	-0.3484406	-0.4736824	-0.2231988
aou	Atlantic	(27,27.25]	-0.4960382	-0.7047312	-0.2873452
aou	Atlantic	(27.25,27.5]	-0.4725209	-0.5289135	-0.4161284
aou	Atlantic	(27.5,27.75]	-0.7661392	-0.7666039	-0.7656744
aou	Atlantic	(27.75,27.85]	-0.8871604	-0.9042796	-0.8700412
aou	Atlantic	(27.85,27.95]	-0.8828257	-0.9074046	-0.8582469
aou	Atlantic	(27.95,28.05]	-0.8619277	-0.8644981	-0.8593574
aou	Atlantic	(28.05,28.1]	-0.8281952	-0.8505250	-0.8058654
aou	Atlantic	(28.1,28.15]	-0.8860639	-0.8877846	-0.8843432
aou	Atlantic	(28.15,28.2]	-0.8964728	-0.9056930	-0.8872526
aou	Atlantic	(28.2, Inf]	-0.4775236	-0.5913042	-0.3637429
aou	Indo-Pacific	(-Inf,26]	-0.1702040	-0.3304486	-0.0099595
aou	Indo-Pacific	(26,26.5]	-0.7065441	-0.7196702	-0.6934181
aou	Indo-Pacific	(26.5,26.75]	-0.7303539	-0.7516667	-0.7090411
aou	Indo-Pacific	(26.75,27]	-0.6402573	-0.6793001	-0.6012145
aou	Indo-Pacific	(27,27.25]	0.0837225	0.0208063	0.1466386
aou	Indo-Pacific	(27.25,27.5]	0.5719673	0.4956449	0.6482897
aou	Indo-Pacific	(27.5,27.75]	0.6861193	0.5909965	0.7812422
aou	Indo-Pacific	(27.75,27.85]	0.7447718	0.6798655	0.8096781
aou	Indo-Pacific	(27.85,27.95]	0.6666865	0.5955593	0.7378137
aou	Indo-Pacific	(27.95,28.05]	0.3926539	0.2858377	0.4994701
aou	Indo-Pacific	(28.05,28.1]	0.1865843	0.1744435	0.1987251
aou	Indo-Pacific	(28.1, Inf]	0.1700035	0.0720141	0.2679929
nitrate	Atlantic	(-Inf,26]	0.5417252	0.4715972	0.6118531
nitrate	Atlantic	(26,26.5]	-0.2106583	-0.3119684	-0.1093482
nitrate	Atlantic	(26.5,26.75]	-0.5214075	-0.5716436	-0.4711714
nitrate	Atlantic	(26.75,27]	-0.6219674	-0.7002030	-0.5437318
nitrate	Atlantic	(27,27.25]	-0.8071220	-0.8727737	-0.7414703
nitrate	Atlantic	(27.25,27.5]	-0.8990797	-0.9016183	-0.8965411
nitrate	Atlantic	(27.5,27.75]	-0.9650823	-0.9740054	-0.9561593
nitrate	Atlantic	(27.75,27.85]	-0.9499694	-0.9670093	-0.9329294
nitrate	Atlantic	(27.85,27.95]	-0.9053047	-0.9403302	-0.8702791
nitrate	Atlantic	(27.95,28.05]	-0.8980713	-0.9350549	-0.8610878
nitrate	Atlantic	(28.05,28.1]	-0.8875231	-0.9324775	-0.8425688
nitrate	Atlantic	(28.1,28.15]	-0.9331802	-0.9473353	-0.9190251
nitrate	Atlantic	(28.15,28.2]	-0.9464276	-0.9746792	-0.9181760
nitrate	Atlantic	(28.2, Inf]	-0.8566991	-0.8775682	-0.8358301
nitrate	Indo-Pacific	(-Inf,26]	-0.1984033	-0.3772561	-0.0195505
nitrate	Indo-Pacific	(26,26.5]	-0.7899143	-0.8221688	-0.7576598
nitrate	Indo-Pacific	(26.5,26.75]	-0.8384033	-0.8544173	-0.8223893
nitrate	Indo-Pacific	(26.75,27]	-0.7810061	-0.8273376	-0.7346746
nitrate	Indo-Pacific	(27,27.25]	0.0032013	-0.0442583	0.0506608
nitrate	Indo-Pacific	(27.25,27.5]	0.5011719	0.4155771	0.5867666
nitrate	Indo-Pacific	(27.5,27.75]	0.6447602	0.5667992	0.7227211
nitrate	Indo-Pacific	(27.75,27.85]	0.7182738	0.6751204	0.7614271
nitrate	Indo-Pacific	(27.85,27.95]	0.6305068	0.5800538	0.6809597
nitrate	Indo-Pacific	(27.95,28.05]	0.3166764	0.2321855	0.4011672
nitrate	Indo-Pacific	(28.05,28.1]	0.0770450	0.0486788	0.1054111
nitrate	Indo-Pacific	(28.1, Inf]	-0.0086032	-0.0752991	0.0580926
phosphate	Atlantic	(-Inf,26]	0.3092167	0.3030343	0.3153991
phosphate	Atlantic	(26,26.5]	-0.4799757	-0.5581943	-0.4017571
phosphate	Atlantic	(26.5,26.75]	-0.6483517	-0.6872563	-0.6094472
phosphate	Atlantic	(26.75,27]	-0.7298559	-0.7869259	-0.6727860
phosphate	Atlantic	(27,27.25]	-0.8733399	-0.9203173	-0.8263625
phosphate	Atlantic	(27.25,27.5]	-0.9349434	-0.9352870	-0.9345997
phosphate	Atlantic	(27.5,27.75]	-0.9811796	-0.9840000	-0.9783593
phosphate	Atlantic	(27.75,27.85]	-0.9696517	-0.9781403	-0.9611631
phosphate	Atlantic	(27.85,27.95]	-0.9328371	-0.9543057	-0.9113684
phosphate	Atlantic	(27.95,28.05]	-0.9205287	-0.9446656	-0.8963919
phosphate	Atlantic	(28.05,28.1]	-0.9040371	-0.9372240	-0.8708502
phosphate	Atlantic	(28.1,28.15]	-0.9430490	-0.9511284	-0.9349697
phosphate	Atlantic	(28.15,28.2]	-0.9565391	-0.9790950	-0.9339832
phosphate	Atlantic	(28.2, Inf]	-0.9061020	-0.9065107	-0.9056933
phosphate	Indo-Pacific	(-Inf,26]	-0.2064223	-0.3734836	-0.0393611
phosphate	Indo-Pacific	(26,26.5]	-0.8201247	-0.8296142	-0.8106351
phosphate	Indo-Pacific	(26.5,26.75]	-0.8680238	-0.8739425	-0.8621052
phosphate	Indo-Pacific	(26.75,27]	-0.7929438	-0.8366740	-0.7492136
phosphate	Indo-Pacific	(27,27.25]	-0.0094529	-0.0678014	0.0488956
phosphate	Indo-Pacific	(27.25,27.5]	0.4851395	0.3916535	0.5786255
phosphate	Indo-Pacific	(27.5,27.75]	0.5961922	0.4928751	0.6995093
phosphate	Indo-Pacific	(27.75,27.85]	0.6516492	0.5721652	0.7311333
phosphate	Indo-Pacific	(27.85,27.95]	0.5645619	0.4832910	0.6458328
phosphate	Indo-Pacific	(27.95,28.05]	0.2385203	0.1211009	0.3559397
phosphate	Indo-Pacific	(28.05,28.1]	-0.0109137	-0.0539102	0.0320827
phosphate	Indo-Pacific	(28.1, Inf]	-0.1428620	-0.2401124	-0.0456116
phosphate_star	Atlantic	(-Inf,26]	-0.2794725	-0.4853275	-0.0736175
phosphate_star	Atlantic	(26,26.5]	-0.7630022	-0.7865702	-0.7394342
phosphate_star	Atlantic	(26.5,26.75]	-0.8435036	-0.8634257	-0.8235814
phosphate_star	Atlantic	(26.75,27]	-0.9297679	-0.9338860	-0.9256499
phosphate_star	Atlantic	(27,27.25]	-0.9443967	-0.9529092	-0.9358842
phosphate_star	Atlantic	(27.25,27.5]	-0.9493992	-0.9699090	-0.9288895
phosphate_star	Atlantic	(27.5,27.75]	-0.9329911	-0.9490641	-0.9169180
phosphate_star	Atlantic	(27.75,27.85]	-0.8979242	-0.9124433	-0.8834051
phosphate_star	Atlantic	(27.85,27.95]	-0.8030826	-0.8238547	-0.7823105
phosphate_star	Atlantic	(27.95,28.05]	-0.8318346	-0.8869192	-0.7767500
phosphate_star	Atlantic	(28.05,28.1]	-0.8825461	-0.8922043	-0.8728878
phosphate_star	Atlantic	(28.1,28.15]	-0.9319363	-0.9383482	-0.9255244
phosphate_star	Atlantic	(28.15,28.2]	-0.9468846	-0.9607427	-0.9330265
phosphate_star	Atlantic	(28.2, Inf]	-0.8894270	-0.8905894	-0.8882645
phosphate_star	Indo-Pacific	(-Inf,26]	-0.1165534	-0.3185183	0.0854116
phosphate_star	Indo-Pacific	(26,26.5]	-0.8150347	-0.8296359	-0.8004335
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8497610	-0.8717232	-0.8277988
phosphate_star	Indo-Pacific	(26.75,27]	-0.7422855	-0.7935272	-0.6910438
phosphate_star	Indo-Pacific	(27,27.25]	-0.1768902	-0.2081829	-0.1455975
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2431518	-0.2502721	-0.2360315
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.4089660	-0.5532925	-0.2646395
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4707776	-0.5904229	-0.3511323
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3074153	-0.3720860	-0.2427446
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3094023	-0.3213501	-0.2974545
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4142514	-0.4442478	-0.3842549
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4186213	-0.5559142	-0.2813284
sal	Atlantic	(-Inf,26]	0.1530016	0.0108613	0.2951418
sal	Atlantic	(26,26.5]	0.7137329	0.6715893	0.7558764
sal	Atlantic	(26.5,26.75]	0.8121556	0.7726550	0.8516561
sal	Atlantic	(26.75,27]	0.9011075	0.8853189	0.9168961
sal	Atlantic	(27,27.25]	0.9102422	0.9091554	0.9113290
sal	Atlantic	(27.25,27.5]	0.9347078	0.9172231	0.9521925
sal	Atlantic	(27.5,27.75]	0.7966177	0.7491707	0.8440648
sal	Atlantic	(27.75,27.85]	0.6798200	0.6576374	0.7020026
sal	Atlantic	(27.85,27.95]	0.4244586	0.3383355	0.5105817
sal	Atlantic	(27.95,28.05]	0.4454146	0.1843828	0.7064465
sal	Atlantic	(28.05,28.1]	0.6703753	0.5929239	0.7478268
sal	Atlantic	(28.1,28.15]	0.8417189	0.8187525	0.8646853
sal	Atlantic	(28.15,28.2]	0.8413727	0.8048213	0.8779242
sal	Atlantic	(28.2, Inf]	0.7936281	0.7841864	0.8030697
sal	Indo-Pacific	(-Inf,26]	0.0498055	-0.0497149	0.1493260
sal	Indo-Pacific	(26,26.5]	0.5334382	0.4203950	0.6464814
sal	Indo-Pacific	(26.5,26.75]	0.5898056	0.4598643	0.7197469
sal	Indo-Pacific	(26.75,27]	0.5235032	0.4136183	0.6333882
sal	Indo-Pacific	(27,27.25]	-0.1672991	-0.1815203	-0.1530780
sal	Indo-Pacific	(27.25,27.5]	-0.3183509	-0.4531206	-0.1835812
sal	Indo-Pacific	(27.5,27.75]	-0.3036730	-0.3527833	-0.2545628
sal	Indo-Pacific	(27.75,27.85]	-0.4509047	-0.5004101	-0.4013993
sal	Indo-Pacific	(27.85,27.95]	-0.3697483	-0.4241072	-0.3153894
sal	Indo-Pacific	(27.95,28.05]	-0.1014285	-0.1600979	-0.0427591
sal	Indo-Pacific	(28.05,28.1]	0.1085879	0.0974400	0.1197358
sal	Indo-Pacific	(28.1, Inf]	0.2489863	0.2091547	0.2888180
silicate	Atlantic	(-Inf,26]	0.0960433	0.0941269	0.0979598
silicate	Atlantic	(26,26.5]	-0.4301343	-0.4532730	-0.4069957
silicate	Atlantic	(26.5,26.75]	-0.6012185	-0.6249924	-0.5774446
silicate	Atlantic	(26.75,27]	-0.6557349	-0.6857160	-0.6257537
silicate	Atlantic	(27,27.25]	-0.8203079	-0.8634412	-0.7771745
silicate	Atlantic	(27.25,27.5]	-0.8895595	-0.9027165	-0.8764026
silicate	Atlantic	(27.5,27.75]	-0.8771728	-0.8807645	-0.8735812
silicate	Atlantic	(27.75,27.85]	-0.8826940	-0.9081649	-0.8572232
silicate	Atlantic	(27.85,27.95]	-0.8479733	-0.8932687	-0.8026778
silicate	Atlantic	(27.95,28.05]	-0.8568694	-0.9041128	-0.8096260
silicate	Atlantic	(28.05,28.1]	-0.8591063	-0.9085196	-0.8096931
silicate	Atlantic	(28.1,28.15]	-0.9207714	-0.9298142	-0.9117287
silicate	Atlantic	(28.15,28.2]	-0.9280596	-0.9464447	-0.9096744
silicate	Atlantic	(28.2, Inf]	-0.8126276	-0.8431359	-0.7821193
silicate	Indo-Pacific	(-Inf,26]	-0.2050438	-0.3886480	-0.0214397
silicate	Indo-Pacific	(26,26.5]	-0.7318762	-0.7442613	-0.7194911
silicate	Indo-Pacific	(26.5,26.75]	-0.7612358	-0.7816844	-0.7407872
silicate	Indo-Pacific	(26.75,27]	-0.6418296	-0.6562980	-0.6273613
silicate	Indo-Pacific	(27,27.25]	0.2668158	0.2265418	0.3070899
silicate	Indo-Pacific	(27.25,27.5]	0.7581481	0.7127679	0.8035282
silicate	Indo-Pacific	(27.5,27.75]	0.8232834	0.7759922	0.8705746
silicate	Indo-Pacific	(27.75,27.85]	0.7763526	0.7253308	0.8273743
silicate	Indo-Pacific	(27.85,27.95]	0.6550621	0.5843301	0.7257941
silicate	Indo-Pacific	(27.95,28.05]	0.3543675	0.2532882	0.4554469
silicate	Indo-Pacific	(28.05,28.1]	0.1256324	0.1107389	0.1405258
silicate	Indo-Pacific	(28.1, Inf]	-0.0384747	-0.1076524	0.0307029
temp	Atlantic	(-Inf,26]	-0.0711520	-0.2902768	0.1479729
temp	Atlantic	(26,26.5]	0.6907906	0.6622293	0.7193519
temp	Atlantic	(26.5,26.75]	0.7899252	0.7549613	0.8248892
temp	Atlantic	(26.75,27]	0.8776977	0.8559440	0.8994513
temp	Atlantic	(27,27.25]	0.8740701	0.8638917	0.8842484
temp	Atlantic	(27.25,27.5]	0.9081053	0.8776756	0.9385350
temp	Atlantic	(27.5,27.75]	0.7595230	0.6982058	0.8208402
temp	Atlantic	(27.75,27.85]	0.6808589	0.6498650	0.7118528
temp	Atlantic	(27.85,27.95]	0.3965799	0.2786202	0.5145397
temp	Atlantic	(27.95,28.05]	0.4601390	0.2705661	0.6497119
temp	Atlantic	(28.05,28.1]	0.5602986	0.4564832	0.6641140
temp	Atlantic	(28.1,28.15]	0.7340059	0.7047797	0.7632322
temp	Atlantic	(28.15,28.2]	0.5860860	0.5316128	0.6405592
temp	Atlantic	(28.2, Inf]	0.2897798	0.2483110	0.3312486
temp	Indo-Pacific	(-Inf,26]	-0.2803292	-0.4275561	-0.1331024
temp	Indo-Pacific	(26,26.5]	0.5094124	0.3857618	0.6330630
temp	Indo-Pacific	(26.5,26.75]	0.5710001	0.4385440	0.7034562
temp	Indo-Pacific	(26.75,27]	0.5651076	0.4750973	0.6551179
temp	Indo-Pacific	(27,27.25]	-0.0797798	-0.0885833	-0.0709763
temp	Indo-Pacific	(27.25,27.5]	-0.3000238	-0.4439814	-0.1560662
temp	Indo-Pacific	(27.5,27.75]	-0.3541276	-0.4306373	-0.2776180
temp	Indo-Pacific	(27.75,27.85]	-0.4058785	-0.4582836	-0.3534733
temp	Indo-Pacific	(27.85,27.95]	-0.2644506	-0.3384228	-0.1904785
temp	Indo-Pacific	(27.95,28.05]	-0.0111437	-0.0580817	0.0357942
temp	Indo-Pacific	(28.05,28.1]	0.1857902	0.1832474	0.1883331
temp	Indo-Pacific	(28.1, Inf]	0.2057349	0.0884527	0.3230170

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_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    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_0.4.9             
[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_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 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

24 March, 2021