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Rmd	55cdfe6	Donghe-Zhu	2021-02-05	local rebuild
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html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

1 Required data

Required are:

cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coefficients.

2.1 Correlation plots

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

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

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

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

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

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

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

if (params_local$plot_all_figures == "y") {
  
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[1]
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin,
               era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          GLODAP_highlight <- GLODAP_basin_era %>%
            mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                             "in", "out")) %>%
            arrange(desc(gamma_highlight))
          
          p <- GLODAP_highlight %>%
            ggpairs(
              columns = c(
                params_local$MLR_target,
                params_local$MLR_predictors
              ),
              ggplot2::aes(
                col = gamma_highlight,
                fill = gamma_highlight,
                alpha = 0.01
              )
            ) +
            scale_fill_manual(values = c("red", "grey")) +
            scale_color_manual(values = c("red", "grey")) +
            labs(
              title = paste(
                i_era,
                "|",
                i_basin,
                "| Gamma slab",
                i_gamma_slab,
                "| # obs total",
                nrow(GLODAP_basin_era),
                "| # obs slab",
                nrow(GLODAP_highlight %>%
                       filter(gamma_highlight == "in"))
              )
            )
          
          png(
            filename = paste(
              path_version_figures,
              "Observations_correlation/",
              paste(
                "Predictor_correlation",
                i_era,
                i_basin,
                i_gamma_slab,
                ".png",
                sep = "_"
              ),
              sep = ""
            ),
            width = 12,
            height = 12,
            units = "in",
            res = 300
          )
          
          print(p)
          
          dev.off()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated individually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era) %>%
      select(basin,
             era,
             gamma_slab,
             params_local$MLR_target,
             params_local$MLR_predictors)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # calculate correlation table
      cor_target_predictor_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        focus(params_local$MLR_target) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_target_predictor")) {
        cor_target_predictor <-
          bind_rows(cor_target_predictor, cor_target_predictor_temp)
      }
      
      if (!exists("cor_target_predictor")) {
        cor_target_predictor <- cor_target_predictor_temp
      }
      
      
      cor_predictors_temp <- GLODAP_basin_era_slab %>%
        select(-c(basin, era, gamma_slab)) %>%
        correlate() %>%
        shave %>%
        stretch() %>%
        filter(!is.na(r),
               x != params_local$MLR_target,
               y != params_local$MLR_target) %>%
        mutate(pair = paste(x, y, sep = " + ")) %>%
        select(-c(x, y)) %>%
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
      if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
      }
      
      
      
    }
  }
}

rm(cor_predictors_temp, cor_target_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

# calculate min, max, mean across all eras
cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

# plot figure
cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

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

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8508692	0.8266115	0.8819213
aou + nitrate	Atlantic	(26,26.5]	0.9195355	0.9153348	0.9244668
aou + nitrate	Atlantic	(26.5,26.75]	0.9756387	0.9746202	0.9773553
aou + nitrate	Atlantic	(26.75,27]	0.9836835	0.9820977	0.9853460
aou + nitrate	Atlantic	(27,27.25]	0.9629633	0.9592232	0.9655219
aou + nitrate	Atlantic	(27.25,27.5]	0.8488180	0.8418054	0.8553777
aou + nitrate	Atlantic	(27.5,27.75]	0.6011436	0.5864528	0.6185647
aou + nitrate	Atlantic	(27.75,27.85]	0.3912972	0.3757277	0.3991573
aou + nitrate	Atlantic	(27.85,27.95]	0.5603286	0.4724808	0.6458686
aou + nitrate	Atlantic	(27.95,28.05]	0.3778239	0.3167072	0.4137495
aou + nitrate	Atlantic	(28.05,28.1]	0.6041874	0.5705959	0.6443473
aou + nitrate	Atlantic	(28.1,28.15]	0.8819517	0.8598995	0.9026092
aou + nitrate	Atlantic	(28.15,28.2]	0.9355631	0.9336298	0.9393640
aou + nitrate	Atlantic	(28.2, Inf]	0.9228214	0.9190820	0.9279189
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9329286	0.9302542	0.9360307
aou + nitrate	Indo-Pacific	(26,26.5]	0.8512179	0.8479640	0.8543417
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7784173	0.7727025	0.7850696
aou + nitrate	Indo-Pacific	(26.75,27]	0.8427590	0.8397760	0.8470841
aou + nitrate	Indo-Pacific	(27,27.25]	0.9241688	0.9186668	0.9290681
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9486865	0.9451931	0.9511318
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9725324	0.9717913	0.9735478
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9910613	0.9904836	0.9916523
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9897038	0.9888119	0.9907991
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9893028	0.9890193	0.9895711
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9891950	0.9887464	0.9900598
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9908212	0.9903966	0.9910997
aou + phosphate	Atlantic	(-Inf,26]	0.9258434	0.9145388	0.9377956
aou + phosphate	Atlantic	(26,26.5]	0.8968544	0.8900126	0.9013403
aou + phosphate	Atlantic	(26.5,26.75]	0.9523556	0.9483806	0.9558773
aou + phosphate	Atlantic	(26.75,27]	0.9648909	0.9627223	0.9663368
aou + phosphate	Atlantic	(27,27.25]	0.9231236	0.9206724	0.9246839
aou + phosphate	Atlantic	(27.25,27.5]	0.7857825	0.7770550	0.7941271
aou + phosphate	Atlantic	(27.5,27.75]	0.5296095	0.5125694	0.5493230
aou + phosphate	Atlantic	(27.75,27.85]	0.3203517	0.3040592	0.3289644
aou + phosphate	Atlantic	(27.85,27.95]	0.5250604	0.4327796	0.6149231
aou + phosphate	Atlantic	(27.95,28.05]	0.3596284	0.2973788	0.3959373
aou + phosphate	Atlantic	(28.05,28.1]	0.5984274	0.5657198	0.6383779
aou + phosphate	Atlantic	(28.1,28.15]	0.8818186	0.8598042	0.9025133
aou + phosphate	Atlantic	(28.15,28.2]	0.9419044	0.9397447	0.9459581
aou + phosphate	Atlantic	(28.2, Inf]	0.9284319	0.9263062	0.9304043
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9672397	0.9661583	0.9685302
aou + phosphate	Indo-Pacific	(26,26.5]	0.9600159	0.9590835	0.9609040
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9731413	0.9727976	0.9735212
aou + phosphate	Indo-Pacific	(26.75,27]	0.9750345	0.9743826	0.9762754
aou + phosphate	Indo-Pacific	(27,27.25]	0.9854531	0.9852062	0.9855852
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9862785	0.9857575	0.9866095
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9890490	0.9889685	0.9891908
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9945444	0.9943621	0.9946399
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9950059	0.9947906	0.9953848
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9910163	0.9907581	0.9913333
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9923558	0.9918445	0.9930599
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9916378	0.9909131	0.9923535
aou + phosphate_star	Atlantic	(-Inf,26]	0.2518710	0.2215250	0.2822293
aou + phosphate_star	Atlantic	(26,26.5]	0.4066219	0.3739364	0.4409341
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1703111	0.1297563	0.1990617
aou + phosphate_star	Atlantic	(26.75,27]	-0.1146846	-0.1231830	-0.1012611
aou + phosphate_star	Atlantic	(27,27.25]	-0.0360468	-0.0696779	0.0025435
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1442059	-0.1647724	-0.1279037
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3198471	-0.3447855	-0.2963366
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3555489	-0.3762285	-0.3277146
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1578269	0.0246244	0.2936577
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.0261707	-0.0994208	0.0192838
aou + phosphate_star	Atlantic	(28.05,28.1]	0.3087060	0.2539865	0.3658650
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7429516	0.7025034	0.7789981
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8477810	0.8430001	0.8557269
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8224187	0.8172523	0.8303883
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5939096	0.5875310	0.6035955
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4227924	0.4209592	0.4247280
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4801190	0.4643600	0.4887611
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.6118580	0.5910279	0.6338326
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6961633	0.6836747	0.7120876
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3522855	0.3047497	0.3989142
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2881105	-0.3352527	-0.2434783
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5720592	-0.5836868	-0.5573694
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3733694	-0.3938370	-0.3551380
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3813074	-0.4090024	-0.3563468
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2845868	-0.3522246	-0.2506718
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1518553	0.1358150	0.1602845
aou + silicate	Atlantic	(-Inf,26]	0.1002956	0.0364329	0.1856052
aou + silicate	Atlantic	(26,26.5]	0.2690518	0.2402128	0.2873632
aou + silicate	Atlantic	(26.5,26.75]	0.6163926	0.5931660	0.6370759
aou + silicate	Atlantic	(26.75,27]	0.8014831	0.7946902	0.8103001
aou + silicate	Atlantic	(27,27.25]	0.7373683	0.7312586	0.7442758
aou + silicate	Atlantic	(27.25,27.5]	0.5325555	0.5256000	0.5460647
aou + silicate	Atlantic	(27.5,27.75]	0.2172365	0.2062112	0.2247835
aou + silicate	Atlantic	(27.75,27.85]	-0.0602726	-0.0799877	-0.0446981
aou + silicate	Atlantic	(27.85,27.95]	0.2626059	0.1549713	0.3656972
aou + silicate	Atlantic	(27.95,28.05]	0.3077043	0.2465865	0.3449524
aou + silicate	Atlantic	(28.05,28.1]	0.6286588	0.6057525	0.6616744
aou + silicate	Atlantic	(28.1,28.15]	0.9123327	0.8972208	0.9270997
aou + silicate	Atlantic	(28.15,28.2]	0.9441799	0.9411159	0.9462345
aou + silicate	Atlantic	(28.2, Inf]	0.7326141	0.7133402	0.7521245
aou + silicate	Indo-Pacific	(-Inf,26]	0.8361132	0.8339467	0.8400774
aou + silicate	Indo-Pacific	(26,26.5]	0.7714304	0.7707356	0.7725845
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7827634	0.7805646	0.7846999
aou + silicate	Indo-Pacific	(26.75,27]	0.8736792	0.8709404	0.8777089
aou + silicate	Indo-Pacific	(27,27.25]	0.9400161	0.9392422	0.9407514
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9546093	0.9542765	0.9552728
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9650537	0.9643931	0.9656973
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9828570	0.9821775	0.9832373
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9821506	0.9816893	0.9825941
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9875448	0.9869271	0.9879667
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9905543	0.9899160	0.9914571
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8237174	0.8222107	0.8246705
nitrate + phosphate	Atlantic	(-Inf,26]	0.6758936	0.6051445	0.7593596
nitrate + phosphate	Atlantic	(26,26.5]	0.8350729	0.8255172	0.8517519
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9683774	0.9660826	0.9700195
nitrate + phosphate	Atlantic	(26.75,27]	0.9806303	0.9800065	0.9812576
nitrate + phosphate	Atlantic	(27,27.25]	0.9865365	0.9862957	0.9869124
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9917770	0.9915996	0.9919073
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9944082	0.9941421	0.9945772
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9964954	0.9964607	0.9965287
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9986516	0.9985214	0.9987778
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9993905	0.9993144	0.9994364
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997909	0.9997701	0.9998055
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998138	0.9998010	0.9998271
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9977389	0.9976438	0.9979142
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9897325	0.9888768	0.9902534
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9539408	0.9510503	0.9581887
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8658011	0.8605885	0.8688633
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7963769	0.7915050	0.8040735
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8646178	0.8622400	0.8691379
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9343118	0.9286674	0.9389290
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9533865	0.9498427	0.9560159
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9790023	0.9785353	0.9794494
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9946742	0.9943388	0.9949201
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9965829	0.9961889	0.9970468
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9987747	0.9986669	0.9988910
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9981000	0.9978662	0.9982250
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9950697	0.9948580	0.9952016
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1402130	0.1013653	0.2126446
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4140381	0.3547445	0.4539743
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2850848	0.2403186	0.3159696
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0010327	-0.0128397	0.0090086
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2120539	0.1708927	0.2603035
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.3904024	0.3817052	0.4036879
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5481617	0.5406656	0.5529017
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7179810	0.6965657	0.7328635
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9033518	0.8905678	0.9176392
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9133593	0.9100834	0.9163730
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9430750	0.9379931	0.9462116
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9697188	0.9663964	0.9720974
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9779241	0.9774495	0.9786361
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9697659	0.9687507	0.9703010
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7317880	0.7291535	0.7350555
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5556865	0.5501554	0.5628821
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5709218	0.5676668	0.5762897
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.7013147	0.6831032	0.7185738
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7740684	0.7620822	0.7860120
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4614071	0.4181372	0.5023851
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1558132	-0.2063288	-0.1100190
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4977332	-0.5111174	-0.4855874
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2647629	-0.2827162	-0.2497249
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2492649	-0.2779089	-0.2213773
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1490315	-0.2153183	-0.1114832
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2598830	0.2420091	0.2698954
nitrate + silicate	Atlantic	(-Inf,26]	0.5868427	0.5784414	0.6036406
nitrate + silicate	Atlantic	(26,26.5]	0.5574299	0.5450756	0.5728961
nitrate + silicate	Atlantic	(26.5,26.75]	0.6998741	0.6782830	0.7223023
nitrate + silicate	Atlantic	(26.75,27]	0.8569701	0.8481245	0.8626148
nitrate + silicate	Atlantic	(27,27.25]	0.8699976	0.8648363	0.8733909
nitrate + silicate	Atlantic	(27.25,27.5]	0.8560447	0.8522417	0.8590201
nitrate + silicate	Atlantic	(27.5,27.75]	0.8601560	0.8581692	0.8638334
nitrate + silicate	Atlantic	(27.75,27.85]	0.8377593	0.8363898	0.8386960
nitrate + silicate	Atlantic	(27.85,27.95]	0.9136385	0.9076897	0.9208498
nitrate + silicate	Atlantic	(27.95,28.05]	0.9686025	0.9659295	0.9715832
nitrate + silicate	Atlantic	(28.05,28.1]	0.9834647	0.9820065	0.9846936
nitrate + silicate	Atlantic	(28.1,28.15]	0.9856380	0.9845925	0.9863662
nitrate + silicate	Atlantic	(28.15,28.2]	0.9149160	0.9134474	0.9177656
nitrate + silicate	Atlantic	(28.2, Inf]	0.7036664	0.6931326	0.7097828
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8568785	0.8510476	0.8609596
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7853548	0.7765084	0.7999550
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8228551	0.8199236	0.8272667
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8754709	0.8736842	0.8785463
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9379873	0.9341253	0.9408551
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9591292	0.9580699	0.9608022
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9791331	0.9784824	0.9796809
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9898921	0.9897478	0.9900311
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9892461	0.9889780	0.9894002
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9916104	0.9913438	0.9921187
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9899943	0.9894490	0.9903729
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8340451	0.8329393	0.8347214
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5424603	0.5167234	0.5860756
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7567916	0.7261739	0.7774512
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4579529	0.4323689	0.4826767
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1449937	0.1338887	0.1522105
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3464093	0.3105640	0.3886444
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.4939999	0.4851988	0.5074641
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6250527	0.6197809	0.6289976
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7695404	0.7501105	0.7827874
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9211715	0.9105996	0.9332193
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9218625	0.9192104	0.9245037
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9458317	0.9403910	0.9491289
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9701261	0.9667319	0.9725653
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9759221	0.9755686	0.9765807
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9720543	0.9709979	0.9737341
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7636370	0.7592186	0.7678483
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6543798	0.6530221	0.6563537
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6623966	0.6505557	0.6688801
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7597603	0.7441811	0.7735868
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8028961	0.7937449	0.8149407
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4986137	0.4566342	0.5411191
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1461911	-0.1955396	-0.0999830
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4860886	-0.5000106	-0.4707374
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2824580	-0.3015833	-0.2669898
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2577195	-0.2846537	-0.2312422
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1676708	-0.2333891	-0.1312986
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2731024	0.2518650	0.2860374
sal + aou	Atlantic	(-Inf,26]	-0.4052481	-0.4422819	-0.3653613
sal + aou	Atlantic	(26,26.5]	-0.3753937	-0.4301488	-0.3468081
sal + aou	Atlantic	(26.5,26.75]	0.2627644	0.2446454	0.2907258
sal + aou	Atlantic	(26.75,27]	0.4548251	0.4461428	0.4620798
sal + aou	Atlantic	(27,27.25]	0.3668974	0.3269693	0.4092778
sal + aou	Atlantic	(27.25,27.5]	0.3888630	0.3833121	0.3961306
sal + aou	Atlantic	(27.5,27.75]	0.6718536	0.6582896	0.6895658
sal + aou	Atlantic	(27.75,27.85]	0.6749160	0.6494194	0.6912220
sal + aou	Atlantic	(27.85,27.95]	0.2133341	0.0868345	0.3425664
sal + aou	Atlantic	(27.95,28.05]	0.0331974	-0.0310140	0.0994952
sal + aou	Atlantic	(28.05,28.1]	-0.3089948	-0.3629149	-0.2588251
sal + aou	Atlantic	(28.1,28.15]	-0.7340549	-0.7680022	-0.6949033
sal + aou	Atlantic	(28.15,28.2]	-0.8020398	-0.8053872	-0.7968380
sal + aou	Atlantic	(28.2, Inf]	-0.6752367	-0.6889986	-0.6591232
sal + aou	Indo-Pacific	(-Inf,26]	-0.2359137	-0.2433284	-0.2313846
sal + aou	Indo-Pacific	(26,26.5]	-0.1614974	-0.1643986	-0.1584878
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1942348	-0.2005169	-0.1853888
sal + aou	Indo-Pacific	(26.75,27]	-0.4081043	-0.4197599	-0.3848842
sal + aou	Indo-Pacific	(27,27.25]	-0.5988601	-0.6145578	-0.5878558
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2729162	-0.3254158	-0.2201860
sal + aou	Indo-Pacific	(27.5,27.75]	0.4887149	0.4514882	0.5319223
sal + aou	Indo-Pacific	(27.75,27.85]	0.7609185	0.7514615	0.7696906
sal + aou	Indo-Pacific	(27.85,27.95]	0.7587762	0.7549339	0.7607206
sal + aou	Indo-Pacific	(27.95,28.05]	0.8427927	0.8351620	0.8515109
sal + aou	Indo-Pacific	(28.05,28.1]	0.8457468	0.8307980	0.8552142
sal + aou	Indo-Pacific	(28.1, Inf]	0.3291264	0.3180962	0.3374250
sal + nitrate	Atlantic	(-Inf,26]	-0.6801398	-0.6836446	-0.6774491
sal + nitrate	Atlantic	(26,26.5]	-0.4185296	-0.4708345	-0.3720611
sal + nitrate	Atlantic	(26.5,26.75]	0.1915052	0.1700347	0.2299204
sal + nitrate	Atlantic	(26.75,27]	0.3964581	0.3917430	0.4039986
sal + nitrate	Atlantic	(27,27.25]	0.1999968	0.1477139	0.2558439
sal + nitrate	Atlantic	(27.25,27.5]	-0.0515905	-0.0878774	-0.0187138
sal + nitrate	Atlantic	(27.5,27.75]	0.1984514	0.1760037	0.2414270
sal + nitrate	Atlantic	(27.75,27.85]	-0.3336947	-0.3625567	-0.3026832
sal + nitrate	Atlantic	(27.85,27.95]	-0.6229759	-0.6574464	-0.5978829
sal + nitrate	Atlantic	(27.95,28.05]	-0.8426606	-0.8655067	-0.8200986
sal + nitrate	Atlantic	(28.05,28.1]	-0.9192286	-0.9253503	-0.9137695
sal + nitrate	Atlantic	(28.1,28.15]	-0.9555315	-0.9605918	-0.9502052
sal + nitrate	Atlantic	(28.15,28.2]	-0.9487617	-0.9565128	-0.9415349
sal + nitrate	Atlantic	(28.2, Inf]	-0.8487758	-0.8549425	-0.8433215
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3664110	-0.3706188	-0.3631961
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3943347	-0.4006517	-0.3903830
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4333044	-0.4355674	-0.4321607
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5652499	-0.5835725	-0.5436739
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7267649	-0.7303526	-0.7230057
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.4021108	-0.4504684	-0.3512324
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3878896	0.3553330	0.4299552
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.7124675	0.6919023	0.7309765
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7055700	0.6999537	0.7099578
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7807418	0.7710486	0.7906724
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7759288	0.7561818	0.7873751
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.2821293	0.2712359	0.2898595
sal + phosphate	Atlantic	(-Inf,26]	-0.2848325	-0.3667554	-0.2214405
sal + phosphate	Atlantic	(26,26.5]	-0.6301605	-0.6622759	-0.5969985
sal + phosphate	Atlantic	(26.5,26.75]	0.0182174	0.0019464	0.0410819
sal + phosphate	Atlantic	(26.75,27]	0.2808934	0.2761820	0.2886877
sal + phosphate	Atlantic	(27,27.25]	0.0649253	0.0131322	0.1216067
sal + phosphate	Atlantic	(27.25,27.5]	-0.1648774	-0.2010803	-0.1296978
sal + phosphate	Atlantic	(27.5,27.75]	0.1019025	0.0806416	0.1431040
sal + phosphate	Atlantic	(27.75,27.85]	-0.4052008	-0.4327346	-0.3754110
sal + phosphate	Atlantic	(27.85,27.95]	-0.6549530	-0.6878108	-0.6276612
sal + phosphate	Atlantic	(27.95,28.05]	-0.8535314	-0.8744294	-0.8314941
sal + phosphate	Atlantic	(28.05,28.1]	-0.9235941	-0.9298541	-0.9178064
sal + phosphate	Atlantic	(28.1,28.15]	-0.9558731	-0.9611205	-0.9505062
sal + phosphate	Atlantic	(28.15,28.2]	-0.9324113	-0.9420472	-0.9236970
sal + phosphate	Atlantic	(28.2, Inf]	-0.7786607	-0.7867329	-0.7744749
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3531130	-0.3557979	-0.3516504
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3767757	-0.3826067	-0.3730463
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3664757	-0.3711260	-0.3634110
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5137765	-0.5332657	-0.4910319
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6804595	-0.6888600	-0.6742459
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3760535	-0.4288745	-0.3207725
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3890956	0.3524997	0.4318826
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.7064889	0.6922530	0.7208984
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7141900	0.7083756	0.7175183
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7972054	0.7891987	0.8055978
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8029930	0.7861415	0.8133386
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.3479998	0.3380784	0.3554573
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2468808	-0.3027183	-0.1866680
sal + phosphate_star	Atlantic	(26,26.5]	-0.8715156	-0.8872035	-0.8591647
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7904905	-0.8023847	-0.7825750
sal + phosphate_star	Atlantic	(26.75,27]	-0.7600150	-0.7719861	-0.7506594
sal + phosphate_star	Atlantic	(27,27.25]	-0.7991396	-0.8087039	-0.7826138
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8599399	-0.8887140	-0.8404105
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5857815	-0.6022482	-0.5565787
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8692188	-0.8746734	-0.8663494
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8736812	-0.8886215	-0.8464537
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9441416	-0.9533584	-0.9325850
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9803938	-0.9839098	-0.9785200
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9885622	-0.9920975	-0.9862187
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9691398	-0.9765239	-0.9609766
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8343508	-0.8404703	-0.8254999
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7058035	-0.7093415	-0.7020587
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8653198	-0.8723219	-0.8596642
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8751059	-0.8842543	-0.8689101
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8421903	-0.8579631	-0.8335611
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8977946	-0.9014639	-0.8907745
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8068836	-0.8230334	-0.7791405
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8087136	-0.8238776	-0.7958373
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8916785	-0.9079046	-0.8785222
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7473041	-0.7663089	-0.7335730
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6545171	-0.6684480	-0.6392530
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6040004	-0.6362054	-0.5837850
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0790738	0.0684994	0.0882173
sal + silicate	Atlantic	(-Inf,26]	-0.7687056	-0.7801676	-0.7557155
sal + silicate	Atlantic	(26,26.5]	0.1527841	0.1190386	0.1762024
sal + silicate	Atlantic	(26.5,26.75]	0.2956083	0.2588899	0.3515178
sal + silicate	Atlantic	(26.75,27]	0.1870151	0.1673646	0.2044764
sal + silicate	Atlantic	(27,27.25]	-0.1129973	-0.1673873	-0.0575001
sal + silicate	Atlantic	(27.25,27.5]	-0.3456512	-0.3839702	-0.3055694
sal + silicate	Atlantic	(27.5,27.75]	-0.1367905	-0.1667109	-0.0952923
sal + silicate	Atlantic	(27.75,27.85]	-0.6855279	-0.7084238	-0.6576508
sal + silicate	Atlantic	(27.85,27.95]	-0.8147907	-0.8467943	-0.7723139
sal + silicate	Atlantic	(27.95,28.05]	-0.8992639	-0.9123358	-0.8839898
sal + silicate	Atlantic	(28.05,28.1]	-0.9159486	-0.9226838	-0.9068784
sal + silicate	Atlantic	(28.1,28.15]	-0.9242566	-0.9310273	-0.9169442
sal + silicate	Atlantic	(28.15,28.2]	-0.7606381	-0.7780706	-0.7467099
sal + silicate	Atlantic	(28.2, Inf]	-0.2735057	-0.2873019	-0.2548099
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5430716	-0.5473789	-0.5361159
sal + silicate	Indo-Pacific	(26,26.5]	-0.5853341	-0.5920834	-0.5770982
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6137360	-0.6159919	-0.6108112
sal + silicate	Indo-Pacific	(26.75,27]	-0.6613828	-0.6753934	-0.6478745
sal + silicate	Indo-Pacific	(27,27.25]	-0.7573385	-0.7644430	-0.7512708
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4775591	-0.5254074	-0.4234176
sal + silicate	Indo-Pacific	(27.5,27.75]	0.3217257	0.2828669	0.3670014
sal + silicate	Indo-Pacific	(27.75,27.85]	0.6797466	0.6616439	0.6985109
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7047472	0.6952297	0.7097907
sal + silicate	Indo-Pacific	(27.95,28.05]	0.8082932	0.7975599	0.8186569
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8209345	0.8050125	0.8299900
sal + silicate	Indo-Pacific	(28.1, Inf]	0.6715257	0.6596076	0.6816427
sal + temp	Atlantic	(-Inf,26]	0.6774177	0.6398707	0.7174248
sal + temp	Atlantic	(26,26.5]	0.9575160	0.9543090	0.9593989
sal + temp	Atlantic	(26.5,26.75]	0.9677444	0.9655875	0.9712294
sal + temp	Atlantic	(26.75,27]	0.9704864	0.9689669	0.9713791
sal + temp	Atlantic	(27,27.25]	0.9631456	0.9625068	0.9638038
sal + temp	Atlantic	(27.25,27.5]	0.9721177	0.9707505	0.9743507
sal + temp	Atlantic	(27.5,27.75]	0.9676087	0.9668418	0.9686131
sal + temp	Atlantic	(27.75,27.85]	0.9870200	0.9864409	0.9876093
sal + temp	Atlantic	(27.85,27.95]	0.9795589	0.9744081	0.9828635
sal + temp	Atlantic	(27.95,28.05]	0.9759782	0.9752775	0.9765842
sal + temp	Atlantic	(28.05,28.1]	0.9864827	0.9851841	0.9873131
sal + temp	Atlantic	(28.1,28.15]	0.9830438	0.9827661	0.9835346
sal + temp	Atlantic	(28.15,28.2]	0.9790660	0.9778979	0.9798992
sal + temp	Atlantic	(28.2, Inf]	0.9381519	0.9344478	0.9420177
sal + temp	Indo-Pacific	(-Inf,26]	0.8192313	0.8155376	0.8250234
sal + temp	Indo-Pacific	(26,26.5]	0.9532385	0.9512376	0.9546749
sal + temp	Indo-Pacific	(26.5,26.75]	0.9804247	0.9798084	0.9807588
sal + temp	Indo-Pacific	(26.75,27]	0.9790587	0.9780732	0.9799011
sal + temp	Indo-Pacific	(27,27.25]	0.9748003	0.9739656	0.9758218
sal + temp	Indo-Pacific	(27.25,27.5]	0.9220418	0.9206427	0.9233164
sal + temp	Indo-Pacific	(27.5,27.75]	0.8721916	0.8690000	0.8764706
sal + temp	Indo-Pacific	(27.75,27.85]	0.9704708	0.9683933	0.9721213
sal + temp	Indo-Pacific	(27.85,27.95]	0.9400311	0.9379176	0.9438168
sal + temp	Indo-Pacific	(27.95,28.05]	0.9455662	0.9446369	0.9461336
sal + temp	Indo-Pacific	(28.05,28.1]	0.9759182	0.9749588	0.9771960
sal + temp	Indo-Pacific	(28.1, Inf]	0.4333526	0.4176571	0.4447132
silicate + phosphate	Atlantic	(-Inf,26]	-0.1365565	-0.2393000	0.0061056
silicate + phosphate	Atlantic	(26,26.5]	0.0352184	0.0025708	0.0634275
silicate + phosphate	Atlantic	(26.5,26.75]	0.5661651	0.5188630	0.6054704
silicate + phosphate	Atlantic	(26.75,27]	0.8453227	0.8401574	0.8495391
silicate + phosphate	Atlantic	(27,27.25]	0.9018422	0.8968750	0.9046147
silicate + phosphate	Atlantic	(27.25,27.5]	0.8972055	0.8939693	0.9000716
silicate + phosphate	Atlantic	(27.5,27.75]	0.8971617	0.8956967	0.8997922
silicate + phosphate	Atlantic	(27.75,27.85]	0.8776199	0.8761672	0.8785685
silicate + phosphate	Atlantic	(27.85,27.95]	0.9326308	0.9280969	0.9383147
silicate + phosphate	Atlantic	(27.95,28.05]	0.9747605	0.9729657	0.9769861
silicate + phosphate	Atlantic	(28.05,28.1]	0.9860826	0.9849503	0.9871105
silicate + phosphate	Atlantic	(28.1,28.15]	0.9879577	0.9871628	0.9886304
silicate + phosphate	Atlantic	(28.15,28.2]	0.9370436	0.9361084	0.9385953
silicate + phosphate	Atlantic	(28.2, Inf]	0.7950494	0.7838712	0.8023833
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8850209	0.8829120	0.8864515
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8774530	0.8761596	0.8782337
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8648126	0.8630519	0.8665845
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9205444	0.9199875	0.9212967
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9574152	0.9560957	0.9582892
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9718543	0.9714920	0.9725200
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9804585	0.9796219	0.9810813
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882152	0.9874393	0.9886340
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9875499	0.9872144	0.9878588
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9936988	0.9933156	0.9941821
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9942888	0.9941392	0.9945007
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8632078	0.8618486	0.8639947
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1693905	-0.2272876	-0.0590447
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2842509	-0.3268307	-0.2356627
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0257881	-0.0711765	0.0895942
silicate + phosphate_star	Atlantic	(26.75,27]	0.1910989	0.1740191	0.2037986
silicate + phosphate_star	Atlantic	(27,27.25]	0.5431195	0.5097779	0.5875893
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6743915	0.6665052	0.6890461
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.7977283	0.7874883	0.8114864
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9055493	0.8897729	0.9153790
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9649568	0.9607276	0.9726737
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9229543	0.9188988	0.9263719
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9199849	0.9104826	0.9249274
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9378573	0.9317428	0.9415993
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8667305	0.8655258	0.8684731
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.7339776	0.7293430	0.7395438
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7741399	0.7715045	0.7778084
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7789017	0.7774020	0.7799609
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8001533	0.7984337	0.8010966
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8205099	0.8113850	0.8280509
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8183436	0.8051948	0.8329089
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5346759	0.4923706	0.5750061
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0957500	-0.1478833	-0.0455684
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4710846	-0.4853642	-0.4547556
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2680674	-0.2825547	-0.2555203
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2790874	-0.3063445	-0.2502184
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2023830	-0.2639396	-0.1670438
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.4382554	0.4186530	0.4530411
temp + aou	Atlantic	(-Inf,26]	-0.6718541	-0.6950869	-0.6549597
temp + aou	Atlantic	(26,26.5]	-0.4220327	-0.4623101	-0.3977003
temp + aou	Atlantic	(26.5,26.75]	0.1458487	0.1211757	0.1732981
temp + aou	Atlantic	(26.75,27]	0.3886803	0.3770829	0.3994330
temp + aou	Atlantic	(27,27.25]	0.3358996	0.2908588	0.3813161
temp + aou	Atlantic	(27.25,27.5]	0.4183395	0.4072313	0.4281407
temp + aou	Atlantic	(27.5,27.75]	0.6662888	0.6580184	0.6798347
temp + aou	Atlantic	(27.75,27.85]	0.6862480	0.6620989	0.7039113
temp + aou	Atlantic	(27.85,27.95]	0.2247282	0.0988969	0.3425500
temp + aou	Atlantic	(27.95,28.05]	0.1529745	0.0937619	0.2236490
temp + aou	Atlantic	(28.05,28.1]	-0.2178685	-0.2732002	-0.1586470
temp + aou	Atlantic	(28.1,28.15]	-0.6502398	-0.6863174	-0.6079602
temp + aou	Atlantic	(28.15,28.2]	-0.7487623	-0.7550457	-0.7401476
temp + aou	Atlantic	(28.2, Inf]	-0.7408470	-0.7514846	-0.7305130
temp + aou	Indo-Pacific	(-Inf,26]	-0.3856139	-0.3889032	-0.3830955
temp + aou	Indo-Pacific	(26,26.5]	-0.2058783	-0.2110147	-0.2026547
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1742449	-0.1819648	-0.1635772
temp + aou	Indo-Pacific	(26.75,27]	-0.3532517	-0.3690613	-0.3283229
temp + aou	Indo-Pacific	(27,27.25]	-0.5586969	-0.5735068	-0.5487968
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2451020	-0.2890212	-0.2009760
temp + aou	Indo-Pacific	(27.5,27.75]	0.4091145	0.3757387	0.4486516
temp + aou	Indo-Pacific	(27.75,27.85]	0.7589791	0.7536426	0.7653391
temp + aou	Indo-Pacific	(27.85,27.95]	0.7387208	0.7353699	0.7406284
temp + aou	Indo-Pacific	(27.95,28.05]	0.7964795	0.7886075	0.8049619
temp + aou	Indo-Pacific	(28.05,28.1]	0.8318578	0.8198863	0.8440020
temp + aou	Indo-Pacific	(28.1, Inf]	0.7911764	0.7834478	0.7985856
temp + nitrate	Atlantic	(-Inf,26]	-0.7568961	-0.7637172	-0.7461245
temp + nitrate	Atlantic	(26,26.5]	-0.4618541	-0.4997600	-0.4261796
temp + nitrate	Atlantic	(26.5,26.75]	0.0679573	0.0405613	0.1054011
temp + nitrate	Atlantic	(26.75,27]	0.3126950	0.3059980	0.3194354
temp + nitrate	Atlantic	(27,27.25]	0.1598497	0.0996072	0.2206497
temp + nitrate	Atlantic	(27.25,27.5]	-0.0118054	-0.0475841	0.0266845
temp + nitrate	Atlantic	(27.5,27.75]	0.1785431	0.1591617	0.2098155
temp + nitrate	Atlantic	(27.75,27.85]	-0.3315551	-0.3588433	-0.3009172
temp + nitrate	Atlantic	(27.85,27.95]	-0.6332972	-0.6584680	-0.6186476
temp + nitrate	Atlantic	(27.95,28.05]	-0.8063267	-0.8228729	-0.7928224
temp + nitrate	Atlantic	(28.05,28.1]	-0.8791933	-0.8847585	-0.8694284
temp + nitrate	Atlantic	(28.1,28.15]	-0.9124485	-0.9165513	-0.9066298
temp + nitrate	Atlantic	(28.15,28.2]	-0.9206151	-0.9287098	-0.9118843
temp + nitrate	Atlantic	(28.2, Inf]	-0.9131875	-0.9156774	-0.9089720
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5336355	-0.5399344	-0.5280681
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4431055	-0.4529539	-0.4370475
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4199775	-0.4222474	-0.4171521
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5253957	-0.5416395	-0.5020487
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7038271	-0.7054964	-0.7011116
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4069708	-0.4477202	-0.3643001
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.2646484	0.2332427	0.3046624
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.7062336	0.6980231	0.7200314
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6722929	0.6672327	0.6753793
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7206903	0.7101135	0.7303216
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7587305	0.7425862	0.7730656
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7228630	0.7118108	0.7331294
temp + phosphate	Atlantic	(-Inf,26]	-0.6808399	-0.7402595	-0.6452598
temp + phosphate	Atlantic	(26,26.5]	-0.6498250	-0.6718506	-0.6265006
temp + phosphate	Atlantic	(26.5,26.75]	-0.0889319	-0.1121633	-0.0651050
temp + phosphate	Atlantic	(26.75,27]	0.2059518	0.2025359	0.2111587
temp + phosphate	Atlantic	(27,27.25]	0.0397262	-0.0202813	0.1018934
temp + phosphate	Atlantic	(27.25,27.5]	-0.1180423	-0.1544898	-0.0773303
temp + phosphate	Atlantic	(27.5,27.75]	0.0867452	0.0681601	0.1159319
temp + phosphate	Atlantic	(27.75,27.85]	-0.4017837	-0.4277467	-0.3724071
temp + phosphate	Atlantic	(27.85,27.95]	-0.6646602	-0.6872219	-0.6495033
temp + phosphate	Atlantic	(27.95,28.05]	-0.8186665	-0.8336496	-0.8052188
temp + phosphate	Atlantic	(28.05,28.1]	-0.8835132	-0.8894003	-0.8732245
temp + phosphate	Atlantic	(28.1,28.15]	-0.9133739	-0.9177957	-0.9073307
temp + phosphate	Atlantic	(28.15,28.2]	-0.9110714	-0.9206287	-0.9010349
temp + phosphate	Atlantic	(28.2, Inf]	-0.8786479	-0.8825113	-0.8758290
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5041281	-0.5090497	-0.4997059
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4270267	-0.4297449	-0.4245735
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3488428	-0.3559150	-0.3433906
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4673499	-0.4850697	-0.4430669
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6504685	-0.6574557	-0.6451850
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3703102	-0.4153112	-0.3239156
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.2889645	0.2564941	0.3285264
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.7018734	0.6946205	0.7133676
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6850605	0.6797983	0.6881476
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7330365	0.7242714	0.7409553
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7807689	0.7670083	0.7942390
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7464932	0.7343736	0.7584974
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6671822	-0.7185409	-0.6215946
temp + phosphate_star	Atlantic	(26,26.5]	-0.8607865	-0.8737512	-0.8502523
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8117841	-0.8232471	-0.8023554
temp + phosphate_star	Atlantic	(26.75,27]	-0.8007639	-0.8125874	-0.7929149
temp + phosphate_star	Atlantic	(27,27.25]	-0.8008498	-0.8167598	-0.7776704
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8358234	-0.8688768	-0.8113538
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.6032839	-0.6149118	-0.5832081
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8745477	-0.8789689	-0.8712356
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8904812	-0.8989700	-0.8801710
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9556712	-0.9607313	-0.9487408
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9722728	-0.9744036	-0.9702767
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9748746	-0.9768846	-0.9730837
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9705790	-0.9781627	-0.9624463
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9377991	-0.9408549	-0.9319754
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8444838	-0.8470014	-0.8420095
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9113946	-0.9153055	-0.9065025
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8789818	-0.8857089	-0.8719957
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8424056	-0.8578982	-0.8346387
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9133295	-0.9186522	-0.9034212
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9099560	-0.9232546	-0.8889387
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9383651	-0.9486237	-0.9271037
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9204996	-0.9290962	-0.9096249
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8364481	-0.8502734	-0.8274725
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7757845	-0.7870069	-0.7651894
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6696593	-0.6950008	-0.6562413
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3054194	-0.3123675	-0.2987091
temp + silicate	Atlantic	(-Inf,26]	-0.3783389	-0.3892790	-0.3709874
temp + silicate	Atlantic	(26,26.5]	0.1130292	0.0927225	0.1289065
temp + silicate	Atlantic	(26.5,26.75]	0.1939442	0.1561831	0.2540483
temp + silicate	Atlantic	(26.75,27]	0.0743582	0.0552884	0.0890014
temp + silicate	Atlantic	(27,27.25]	-0.1674821	-0.2289306	-0.1077317
temp + silicate	Atlantic	(27.25,27.5]	-0.3004178	-0.3422261	-0.2526349
temp + silicate	Atlantic	(27.5,27.75]	-0.1635583	-0.1820124	-0.1342996
temp + silicate	Atlantic	(27.75,27.85]	-0.6746286	-0.6979342	-0.6449163
temp + silicate	Atlantic	(27.85,27.95]	-0.8183757	-0.8348715	-0.7978853
temp + silicate	Atlantic	(27.95,28.05]	-0.8613854	-0.8715601	-0.8519493
temp + silicate	Atlantic	(28.05,28.1]	-0.8699957	-0.8780458	-0.8542733
temp + silicate	Atlantic	(28.1,28.15]	-0.8759354	-0.8835779	-0.8660760
temp + silicate	Atlantic	(28.15,28.2]	-0.7505497	-0.7665094	-0.7365649
temp + silicate	Atlantic	(28.2, Inf]	-0.5098047	-0.5223504	-0.4982583
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6057792	-0.6106776	-0.6020843
temp + silicate	Indo-Pacific	(26,26.5]	-0.6099076	-0.6150951	-0.6044062
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6041325	-0.6045155	-0.6035685
temp + silicate	Indo-Pacific	(26.75,27]	-0.6324798	-0.6453981	-0.6173027
temp + silicate	Indo-Pacific	(27,27.25]	-0.7408802	-0.7469319	-0.7356628
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4683481	-0.5086695	-0.4228757
temp + silicate	Indo-Pacific	(27.5,27.75]	0.2103126	0.1753338	0.2506178
temp + silicate	Indo-Pacific	(27.75,27.85]	0.6731656	0.6647691	0.6871470
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6598059	0.6523715	0.6636721
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7458157	0.7336038	0.7558533
temp + silicate	Indo-Pacific	(28.05,28.1]	0.8010043	0.7886771	0.8126133
temp + silicate	Indo-Pacific	(28.1, Inf]	0.5854204	0.5660884	0.6016085

rm(cor_predictors, cor_predictors_stats)

2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_target_predictor <- cor_target_predictor %>% 
  rename(predictor = term)

# calculate min, max, mean across all eras
cor_target_predictor_stats <- cor_target_predictor %>%
  select(-era) %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise_all(list(mean_r = mean, min_r = min, max_r = max)) %>% 
  ungroup()

# plot figure
cor_target_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

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

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3593516	0.3351745	0.4071065
aou	Atlantic	(26,26.5]	0.0003143	-0.1412442	0.1231091
aou	Atlantic	(26.5,26.75]	0.0085539	-0.1331670	0.1850932
aou	Atlantic	(26.75,27]	-0.0871735	-0.2754315	0.1294756
aou	Atlantic	(27,27.25]	-0.3947884	-0.5247852	-0.2572045
aou	Atlantic	(27.25,27.5]	-0.2984779	-0.4143189	-0.1635458
aou	Atlantic	(27.5,27.75]	-0.1563897	-0.2028965	-0.1149327
aou	Atlantic	(27.75,27.85]	-0.0436468	-0.1101520	0.0099004
aou	Atlantic	(27.85,27.95]	-0.4765387	-0.5354820	-0.4229441
aou	Atlantic	(27.95,28.05]	-0.3259981	-0.4003382	-0.2700676
aou	Atlantic	(28.05,28.1]	-0.5800117	-0.5884389	-0.5675095
aou	Atlantic	(28.1,28.15]	-0.8714190	-0.8804739	-0.8635737
aou	Atlantic	(28.15,28.2]	-0.9217941	-0.9258385	-0.9162095
aou	Atlantic	(28.2, Inf]	-0.8696908	-0.8750164	-0.8647430
aou	Indo-Pacific	(-Inf,26]	-0.1041366	-0.2667576	0.0381249
aou	Indo-Pacific	(26,26.5]	-0.4815316	-0.6059392	-0.3397272
aou	Indo-Pacific	(26.5,26.75]	-0.7627728	-0.8170573	-0.6862363
aou	Indo-Pacific	(26.75,27]	-0.8303223	-0.8758096	-0.7725626
aou	Indo-Pacific	(27,27.25]	-0.8215913	-0.8765579	-0.7566313
aou	Indo-Pacific	(27.25,27.5]	-0.7259632	-0.8402427	-0.5724457
aou	Indo-Pacific	(27.5,27.75]	-0.3556548	-0.7523233	0.1881801
aou	Indo-Pacific	(27.75,27.85]	-0.0129744	-0.5312244	0.6335880
aou	Indo-Pacific	(27.85,27.95]	0.1990983	-0.2180154	0.6400052
aou	Indo-Pacific	(27.95,28.05]	0.0658152	-0.2820676	0.4567934
aou	Indo-Pacific	(28.05,28.1]	0.1667532	-0.1504809	0.4795449
aou	Indo-Pacific	(28.1, Inf]	0.5132884	0.4298098	0.5870658
nitrate	Atlantic	(-Inf,26]	0.0113152	-0.0826447	0.0703268
nitrate	Atlantic	(26,26.5]	-0.2206558	-0.3562006	-0.1042779
nitrate	Atlantic	(26.5,26.75]	-0.1436891	-0.2855598	0.0338456
nitrate	Atlantic	(26.75,27]	-0.2080507	-0.3880168	-0.0028814
nitrate	Atlantic	(27,27.25]	-0.5953636	-0.6972178	-0.4881168
nitrate	Atlantic	(27.25,27.5]	-0.7183060	-0.7843091	-0.6380149
nitrate	Atlantic	(27.5,27.75]	-0.8534494	-0.8788993	-0.8276689
nitrate	Atlantic	(27.75,27.85]	-0.9121042	-0.9235630	-0.8979022
nitrate	Atlantic	(27.85,27.95]	-0.9637981	-0.9686683	-0.9547726
nitrate	Atlantic	(27.95,28.05]	-0.9435190	-0.9457395	-0.9412317
nitrate	Atlantic	(28.05,28.1]	-0.9907157	-0.9929509	-0.9882605
nitrate	Atlantic	(28.1,28.15]	-0.9935789	-0.9962376	-0.9906995
nitrate	Atlantic	(28.15,28.2]	-0.9936301	-0.9974533	-0.9882781
nitrate	Atlantic	(28.2, Inf]	-0.9764434	-0.9792459	-0.9717311
nitrate	Indo-Pacific	(-Inf,26]	-0.1214467	-0.2812147	0.0225055
nitrate	Indo-Pacific	(26,26.5]	-0.4664809	-0.5757885	-0.3590657
nitrate	Indo-Pacific	(26.5,26.75]	-0.6731844	-0.7240043	-0.5999061
nitrate	Indo-Pacific	(26.75,27]	-0.7221203	-0.7535185	-0.6742561
nitrate	Indo-Pacific	(27,27.25]	-0.7706004	-0.8242524	-0.7078897
nitrate	Indo-Pacific	(27.25,27.5]	-0.7196540	-0.8250349	-0.5778623
nitrate	Indo-Pacific	(27.5,27.75]	-0.3795531	-0.7575488	0.1427190
nitrate	Indo-Pacific	(27.75,27.85]	0.0201323	-0.4952384	0.6525008
nitrate	Indo-Pacific	(27.85,27.95]	0.2563060	-0.1466125	0.6744658
nitrate	Indo-Pacific	(27.95,28.05]	0.1436713	-0.1896698	0.5173338
nitrate	Indo-Pacific	(28.05,28.1]	0.2512427	-0.0454654	0.5460026
nitrate	Indo-Pacific	(28.1, Inf]	0.5421908	0.4743582	0.6025865
phosphate	Atlantic	(-Inf,26]	0.4360261	0.3824275	0.4935684
phosphate	Atlantic	(26,26.5]	0.0238302	-0.0752283	0.0868456
phosphate	Atlantic	(26.5,26.75]	-0.1314940	-0.2548414	0.0306072
phosphate	Atlantic	(26.75,27]	-0.2372634	-0.4052229	-0.0505601
phosphate	Atlantic	(27,27.25]	-0.6400775	-0.7296479	-0.5440951
phosphate	Atlantic	(27.25,27.5]	-0.7645244	-0.8182240	-0.6996285
phosphate	Atlantic	(27.5,27.75]	-0.8771449	-0.8970446	-0.8566172
phosphate	Atlantic	(27.75,27.85]	-0.9348136	-0.9421696	-0.9249154
phosphate	Atlantic	(27.85,27.95]	-0.9657844	-0.9721522	-0.9547925
phosphate	Atlantic	(27.95,28.05]	-0.9461149	-0.9473558	-0.9445007
phosphate	Atlantic	(28.05,28.1]	-0.9906318	-0.9932215	-0.9878393
phosphate	Atlantic	(28.1,28.15]	-0.9935331	-0.9959978	-0.9907995
phosphate	Atlantic	(28.15,28.2]	-0.9925877	-0.9961005	-0.9890140
phosphate	Atlantic	(28.2, Inf]	-0.9836042	-0.9856956	-0.9821301
phosphate	Indo-Pacific	(-Inf,26]	-0.1526515	-0.3147629	-0.0088727
phosphate	Indo-Pacific	(26,26.5]	-0.6090330	-0.7208681	-0.4793908
phosphate	Indo-Pacific	(26.5,26.75]	-0.8310937	-0.8763991	-0.7631171
phosphate	Indo-Pacific	(26.75,27]	-0.8641509	-0.8982052	-0.8189430
phosphate	Indo-Pacific	(27,27.25]	-0.8567823	-0.9005961	-0.8050050
phosphate	Indo-Pacific	(27.25,27.5]	-0.7761799	-0.8713186	-0.6481315
phosphate	Indo-Pacific	(27.5,27.75]	-0.3837309	-0.7573669	0.1323358
phosphate	Indo-Pacific	(27.75,27.85]	0.0292691	-0.4797758	0.6557474
phosphate	Indo-Pacific	(27.85,27.95]	0.2405690	-0.1632050	0.6631169
phosphate	Indo-Pacific	(27.95,28.05]	0.1334384	-0.1982314	0.5056399
phosphate	Indo-Pacific	(28.05,28.1]	0.2224745	-0.0741106	0.5159376
phosphate	Indo-Pacific	(28.1, Inf]	0.4951653	0.4214208	0.5603860
phosphate_star	Atlantic	(-Inf,26]	0.0959093	0.0678117	0.1462973
phosphate_star	Atlantic	(26,26.5]	0.1128831	0.0750057	0.1648609
phosphate_star	Atlantic	(26.5,26.75]	-0.3408061	-0.3646340	-0.3087793
phosphate_star	Atlantic	(26.75,27]	-0.4575100	-0.5499357	-0.4017052
phosphate_star	Atlantic	(27,27.25]	-0.6264355	-0.7135478	-0.5344917
phosphate_star	Atlantic	(27.25,27.5]	-0.7552209	-0.8297439	-0.6846816
phosphate_star	Atlantic	(27.5,27.75]	-0.7876710	-0.8242294	-0.7458745
phosphate_star	Atlantic	(27.75,27.85]	-0.8787564	-0.9208413	-0.8322532
phosphate_star	Atlantic	(27.85,27.95]	-0.8929901	-0.9257869	-0.8525161
phosphate_star	Atlantic	(27.95,28.05]	-0.8667922	-0.8929513	-0.8427043
phosphate_star	Atlantic	(28.05,28.1]	-0.9372096	-0.9594562	-0.9109491
phosphate_star	Atlantic	(28.1,28.15]	-0.9625949	-0.9758971	-0.9471000
phosphate_star	Atlantic	(28.15,28.2]	-0.9747366	-0.9830338	-0.9633625
phosphate_star	Atlantic	(28.2, Inf]	-0.9786853	-0.9844788	-0.9706085
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0196999	-0.1379037	0.0866599
phosphate_star	Indo-Pacific	(26,26.5]	-0.5864613	-0.6251420	-0.5443996
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6268132	-0.6570687	-0.5975117
phosphate_star	Indo-Pacific	(26.75,27]	-0.5788031	-0.6002986	-0.5455678
phosphate_star	Indo-Pacific	(27,27.25]	-0.6905273	-0.7085100	-0.6751198
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5474501	-0.5823269	-0.5278288
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1085326	-0.3823740	0.0929067
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3917828	-0.0957256	0.7289699
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3832917	0.0971175	0.6208757
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5512088	0.3077635	0.7497061
phosphate_star	Indo-Pacific	(28.05,28.1]	0.5156602	0.3036626	0.7104201
phosphate_star	Indo-Pacific	(28.1, Inf]	0.1007788	0.0439336	0.1645365
sal	Atlantic	(-Inf,26]	0.6382714	0.5983344	0.6910233
sal	Atlantic	(26,26.5]	-0.1006574	-0.1414565	-0.0607646
sal	Atlantic	(26.5,26.75]	-0.0204872	-0.1140026	0.0762540
sal	Atlantic	(26.75,27]	-0.0531190	-0.1469100	0.0981143
sal	Atlantic	(27,27.25]	0.0725075	-0.0662481	0.1976245
sal	Atlantic	(27.25,27.5]	0.3454590	0.2192492	0.5020095
sal	Atlantic	(27.5,27.75]	-0.0226673	-0.1223398	0.0558386
sal	Atlantic	(27.75,27.85]	0.5405151	0.4568336	0.6245269
sal	Atlantic	(27.85,27.95]	0.5917164	0.5383895	0.6621832
sal	Atlantic	(27.95,28.05]	0.7354968	0.6777015	0.7875691
sal	Atlantic	(28.05,28.1]	0.8950648	0.8645180	0.9267346
sal	Atlantic	(28.1,28.15]	0.9361268	0.9137569	0.9583731
sal	Atlantic	(28.15,28.2]	0.9322123	0.8989943	0.9515356
sal	Atlantic	(28.2, Inf]	0.7669612	0.7409207	0.7803613
sal	Indo-Pacific	(-Inf,26]	-0.0516542	-0.1013050	0.0026345
sal	Indo-Pacific	(26,26.5]	0.3228991	0.3068982	0.3515956
sal	Indo-Pacific	(26.5,26.75]	0.3002059	0.2648917	0.3297863
sal	Indo-Pacific	(26.75,27]	0.2215939	0.1616972	0.2726404
sal	Indo-Pacific	(27,27.25]	0.4566449	0.4230506	0.4935796
sal	Indo-Pacific	(27.25,27.5]	0.2305640	0.1929315	0.2742818
sal	Indo-Pacific	(27.5,27.75]	-0.2054389	-0.4145325	0.1071163
sal	Indo-Pacific	(27.75,27.85]	-0.3341851	-0.7598921	0.2053812
sal	Indo-Pacific	(27.85,27.95]	-0.1448330	-0.5096531	0.2497187
sal	Indo-Pacific	(27.95,28.05]	-0.3097331	-0.6105867	0.0507787
sal	Indo-Pacific	(28.05,28.1]	-0.2445654	-0.5323207	0.0395734
sal	Indo-Pacific	(28.1, Inf]	0.0049323	-0.1322080	0.1330927
silicate	Atlantic	(-Inf,26]	-0.6383299	-0.7160039	-0.5932289
silicate	Atlantic	(26,26.5]	-0.4987778	-0.5595418	-0.4314855
silicate	Atlantic	(26.5,26.75]	-0.3680547	-0.4745459	-0.2359210
silicate	Atlantic	(26.75,27]	-0.4689715	-0.6296497	-0.2968727
silicate	Atlantic	(27,27.25]	-0.7999682	-0.8583370	-0.7350044
silicate	Atlantic	(27.25,27.5]	-0.8754813	-0.9014685	-0.8397782
silicate	Atlantic	(27.5,27.75]	-0.9095865	-0.9140591	-0.9063229
silicate	Atlantic	(27.75,27.85]	-0.9235986	-0.9349620	-0.9105864
silicate	Atlantic	(27.85,27.95]	-0.8995086	-0.9224755	-0.8697389
silicate	Atlantic	(27.95,28.05]	-0.9008432	-0.9112410	-0.8928654
silicate	Atlantic	(28.05,28.1]	-0.9695457	-0.9701071	-0.9690299
silicate	Atlantic	(28.1,28.15]	-0.9792279	-0.9808463	-0.9765018
silicate	Atlantic	(28.15,28.2]	-0.9169241	-0.9242432	-0.9051901
silicate	Atlantic	(28.2, Inf]	-0.7784768	-0.7987651	-0.7490368
silicate	Indo-Pacific	(-Inf,26]	-0.1375419	-0.2842494	-0.0189390
silicate	Indo-Pacific	(26,26.5]	-0.6796762	-0.7645086	-0.5817774
silicate	Indo-Pacific	(26.5,26.75]	-0.7671718	-0.8056145	-0.7031957
silicate	Indo-Pacific	(26.75,27]	-0.7174367	-0.7549181	-0.6670551
silicate	Indo-Pacific	(27,27.25]	-0.7257162	-0.7816079	-0.6591950
silicate	Indo-Pacific	(27.25,27.5]	-0.6765600	-0.7821522	-0.5404175
silicate	Indo-Pacific	(27.5,27.75]	-0.3254200	-0.7043539	0.1944457
silicate	Indo-Pacific	(27.75,27.85]	0.0568578	-0.4554289	0.6826006
silicate	Indo-Pacific	(27.85,27.95]	0.2505408	-0.1565505	0.6741476
silicate	Indo-Pacific	(27.95,28.05]	0.1255990	-0.2149704	0.5089388
silicate	Indo-Pacific	(28.05,28.1]	0.2155229	-0.0871070	0.5157306
silicate	Indo-Pacific	(28.1, Inf]	0.4743854	0.3746531	0.5673123
temp	Atlantic	(-Inf,26]	-0.0259592	-0.0985090	0.0914707
temp	Atlantic	(26,26.5]	-0.2431282	-0.2855452	-0.1952690
temp	Atlantic	(26.5,26.75]	-0.0360164	-0.1136069	0.0391032
temp	Atlantic	(26.75,27]	0.0236902	-0.0427506	0.1529515
temp	Atlantic	(27,27.25]	0.1100329	-0.0206454	0.2294556
temp	Atlantic	(27.25,27.5]	0.3025582	0.1705006	0.4607101
temp	Atlantic	(27.5,27.75]	0.0031076	-0.0806492	0.0699840
temp	Atlantic	(27.75,27.85]	0.5467452	0.4660372	0.6283715
temp	Atlantic	(27.85,27.95]	0.6080597	0.5530865	0.6668394
temp	Atlantic	(27.95,28.05]	0.7148273	0.6635956	0.7660282
temp	Atlantic	(28.05,28.1]	0.8530147	0.8127263	0.8883871
temp	Atlantic	(28.1,28.15]	0.8893605	0.8628774	0.9136546
temp	Atlantic	(28.15,28.2]	0.9045856	0.8676436	0.9243289
temp	Atlantic	(28.2, Inf]	0.8757142	0.8617846	0.8845375
temp	Indo-Pacific	(-Inf,26]	-0.3655429	-0.4431203	-0.2783963
temp	Indo-Pacific	(26,26.5]	0.2830886	0.2547599	0.3215519
temp	Indo-Pacific	(26.5,26.75]	0.2614194	0.2179848	0.2977101
temp	Indo-Pacific	(26.75,27]	0.1545926	0.0908677	0.2051075
temp	Indo-Pacific	(27,27.25]	0.4232628	0.3914848	0.4554289
temp	Indo-Pacific	(27.25,27.5]	0.3295912	0.3167774	0.3442270
temp	Indo-Pacific	(27.5,27.75]	0.0244526	-0.1957034	0.3223176
temp	Indo-Pacific	(27.75,27.85]	-0.3393396	-0.7538397	0.2023349
temp	Indo-Pacific	(27.85,27.95]	-0.1977589	-0.5484012	0.1950963
temp	Indo-Pacific	(27.95,28.05]	-0.3880831	-0.6835926	-0.0334756
temp	Indo-Pacific	(28.05,28.1]	-0.2606816	-0.5548727	0.0465836
temp	Indo-Pacific	(28.1, Inf]	0.1935860	0.0828346	0.2918828

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_0.7.3      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

09 February, 2021