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html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
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html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
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Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
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
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
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
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]	0.8383083	0.8320600	0.8496781
aou + nitrate	Atlantic	(26,26.5]	0.8874770	0.8634541	0.9033623
aou + nitrate	Atlantic	(26.5,26.75]	0.9707319	0.9670252	0.9760195
aou + nitrate	Atlantic	(26.75,27]	0.9837489	0.9768067	0.9878783
aou + nitrate	Atlantic	(27,27.25]	0.9666796	0.9627803	0.9699799
aou + nitrate	Atlantic	(27.25,27.5]	0.8685144	0.8539876	0.8767855
aou + nitrate	Atlantic	(27.5,27.75]	0.6432379	0.6288809	0.6564921
aou + nitrate	Atlantic	(27.75,27.85]	0.4076114	0.3438010	0.4469814
aou + nitrate	Atlantic	(27.85,27.95]	0.2016060	0.1516200	0.2960459
aou + nitrate	Atlantic	(27.95,28.05]	0.4839857	0.4395244	0.5284771
aou + nitrate	Atlantic	(28.05,28.1]	0.8188558	0.7906671	0.8624211
aou + nitrate	Atlantic	(28.1,28.15]	0.8965186	0.8783227	0.9213020
aou + nitrate	Atlantic	(28.15,28.2]	0.9524920	0.9452882	0.9562339
aou + nitrate	Atlantic	(28.2, Inf]	0.9114830	0.8947684	0.9222025
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9315851	0.9293628	0.9342072
aou + nitrate	Indo-Pacific	(26,26.5]	0.8730640	0.8697845	0.8785641
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7911782	0.7738843	0.8238936
aou + nitrate	Indo-Pacific	(26.75,27]	0.8502661	0.8406971	0.8601844
aou + nitrate	Indo-Pacific	(27,27.25]	0.9224851	0.9200001	0.9251930
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9500981	0.9458586	0.9546478
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9752047	0.9745765	0.9760371
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9913040	0.9904698	0.9924649
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9916664	0.9911966	0.9919780
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9914582	0.9910291	0.9922109
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9903139	0.9895914	0.9910429
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9859131	0.9855916	0.9861370
aou + phosphate	Atlantic	(-Inf,26]	0.9405704	0.9284715	0.9530586
aou + phosphate	Atlantic	(26,26.5]	0.8891171	0.8785682	0.9057958
aou + phosphate	Atlantic	(26.5,26.75]	0.9399875	0.9337989	0.9448871
aou + phosphate	Atlantic	(26.75,27]	0.9617757	0.9556716	0.9678521
aou + phosphate	Atlantic	(27,27.25]	0.9294879	0.9255394	0.9328166
aou + phosphate	Atlantic	(27.25,27.5]	0.8071951	0.7860977	0.8192707
aou + phosphate	Atlantic	(27.5,27.75]	0.5665612	0.5496580	0.5826784
aou + phosphate	Atlantic	(27.75,27.85]	0.3257130	0.2543409	0.3714986
aou + phosphate	Atlantic	(27.85,27.95]	0.1537975	0.1028561	0.2511605
aou + phosphate	Atlantic	(27.95,28.05]	0.4652098	0.4205577	0.5085593
aou + phosphate	Atlantic	(28.05,28.1]	0.8128103	0.7842367	0.8570602
aou + phosphate	Atlantic	(28.1,28.15]	0.8927398	0.8742416	0.9183707
aou + phosphate	Atlantic	(28.15,28.2]	0.9546987	0.9476175	0.9588302
aou + phosphate	Atlantic	(28.2, Inf]	0.8990694	0.8871689	0.9068318
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9674024	0.9653361	0.9684709
aou + phosphate	Indo-Pacific	(26,26.5]	0.9607454	0.9593143	0.9617151
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9703885	0.9687899	0.9715848
aou + phosphate	Indo-Pacific	(26.75,27]	0.9721185	0.9713658	0.9729905
aou + phosphate	Indo-Pacific	(27,27.25]	0.9821429	0.9820116	0.9823664
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9865412	0.9863806	0.9867877
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9897121	0.9890756	0.9902224
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9946349	0.9940600	0.9954125
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9947789	0.9946161	0.9948643
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9933432	0.9930128	0.9936853
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9933593	0.9926983	0.9941395
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9889443	0.9883777	0.9896095
aou + phosphate_star	Atlantic	(-Inf,26]	0.0705272	0.0280102	0.1298416
aou + phosphate_star	Atlantic	(26,26.5]	0.4078901	0.3626896	0.4331147
aou + phosphate_star	Atlantic	(26.5,26.75]	0.2159028	0.1952230	0.2546116
aou + phosphate_star	Atlantic	(26.75,27]	-0.0811333	-0.1401560	-0.0406984
aou + phosphate_star	Atlantic	(27,27.25]	0.0011117	-0.0328066	0.0281613
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.0757153	-0.1032650	-0.0564578
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3062531	-0.3309405	-0.2845571
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3881166	-0.4640367	-0.3277582
aou + phosphate_star	Atlantic	(27.85,27.95]	-0.3249838	-0.3784926	-0.2275171
aou + phosphate_star	Atlantic	(27.95,28.05]	0.1478676	0.0950264	0.1992328
aou + phosphate_star	Atlantic	(28.05,28.1]	0.6537850	0.6194482	0.7142652
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7708438	0.7403794	0.8108755
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8793483	0.8576858	0.8911784
aou + phosphate_star	Atlantic	(28.2, Inf]	0.7796739	0.7501469	0.7953021
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6221120	0.6108849	0.6362755
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4280026	0.4190503	0.4368385
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4374181	0.4296753	0.4444079
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5702797	0.5658436	0.5786253
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.6338427	0.6267263	0.6378230
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.3114987	0.2963116	0.3394059
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2203432	-0.2432705	-0.1921356
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5084839	-0.5409013	-0.4865700
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4989162	-0.5135240	-0.4895076
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.4664947	-0.4785825	-0.4446848
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.2155994	-0.2473621	-0.1578601
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2191825	-0.2564052	-0.1730368
aou + silicate	Atlantic	(-Inf,26]	0.0901491	0.0436733	0.1353864
aou + silicate	Atlantic	(26,26.5]	0.2326274	0.2007522	0.2767785
aou + silicate	Atlantic	(26.5,26.75]	0.6083017	0.5877344	0.6394897
aou + silicate	Atlantic	(26.75,27]	0.7930195	0.7687593	0.8202699
aou + silicate	Atlantic	(27,27.25]	0.6914035	0.6720101	0.7158379
aou + silicate	Atlantic	(27.25,27.5]	0.4741397	0.4422230	0.4970453
aou + silicate	Atlantic	(27.5,27.75]	0.1724283	0.1431916	0.1909457
aou + silicate	Atlantic	(27.75,27.85]	-0.1097344	-0.1939292	-0.0381523
aou + silicate	Atlantic	(27.85,27.95]	-0.1121638	-0.1680573	-0.0043845
aou + silicate	Atlantic	(27.95,28.05]	0.3418589	0.3028693	0.3804795
aou + silicate	Atlantic	(28.05,28.1]	0.7740729	0.7443807	0.8171980
aou + silicate	Atlantic	(28.1,28.15]	0.8833631	0.8679150	0.9118261
aou + silicate	Atlantic	(28.15,28.2]	0.9474543	0.9433709	0.9525433
aou + silicate	Atlantic	(28.2, Inf]	0.6443209	0.6269146	0.6656914
aou + silicate	Indo-Pacific	(-Inf,26]	0.8625246	0.8600498	0.8666972
aou + silicate	Indo-Pacific	(26,26.5]	0.7922702	0.7903012	0.7949051
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7835098	0.7801287	0.7882997
aou + silicate	Indo-Pacific	(26.75,27]	0.8624539	0.8609045	0.8642230
aou + silicate	Indo-Pacific	(27,27.25]	0.9314795	0.9307071	0.9327248
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9510264	0.9504769	0.9519046
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9629860	0.9617689	0.9640400
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9816184	0.9803105	0.9834279
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9823992	0.9820968	0.9828587
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9861744	0.9851151	0.9871743
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9904423	0.9893299	0.9914709
aou + silicate	Indo-Pacific	(28.1, Inf]	0.8699849	0.8672864	0.8720971
nitrate + phosphate	Atlantic	(-Inf,26]	0.7377245	0.7162224	0.7770155
nitrate + phosphate	Atlantic	(26,26.5]	0.7622836	0.7414391	0.7757066
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9537831	0.9508086	0.9553751
nitrate + phosphate	Atlantic	(26.75,27]	0.9752420	0.9696491	0.9783817
nitrate + phosphate	Atlantic	(27,27.25]	0.9836572	0.9828549	0.9841483
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9910266	0.9904773	0.9913578
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9938147	0.9935727	0.9941844
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9955786	0.9950333	0.9960648
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9983375	0.9982568	0.9984718
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9992693	0.9991999	0.9993330
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997407	0.9997288	0.9997470
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9997370	0.9997229	0.9997492
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9982381	0.9981477	0.9983217
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9924743	0.9921036	0.9928592
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9549858	0.9493646	0.9590100
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9006351	0.8973531	0.9043633
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.8113866	0.7940748	0.8454410
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8754017	0.8651422	0.8867081
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9380355	0.9345600	0.9416952
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9542664	0.9494146	0.9588776
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9812651	0.9803361	0.9827256
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9950709	0.9942189	0.9956740
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9974603	0.9970406	0.9977284
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9989103	0.9987417	0.9991649
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9982682	0.9980954	0.9984353
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9956062	0.9955337	0.9956890
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1890427	0.0896089	0.3270272
nitrate + phosphate_star	Atlantic	(26,26.5]	0.3391495	0.3081576	0.3785790
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.3203530	0.2857649	0.3806223
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0218847	-0.0380702	0.0591141
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2261474	0.1970983	0.2602940
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.4135931	0.4025584	0.4222558
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5144714	0.5086689	0.5206220
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.6796550	0.6698961	0.6957823
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8585565	0.8561482	0.8610980
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9353784	0.9344270	0.9360024
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9684141	0.9665992	0.9693569
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9719960	0.9704985	0.9733404
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9803718	0.9761887	0.9827029
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9618780	0.9601195	0.9635574
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7679116	0.7652425	0.7712849
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.6111863	0.6095567	0.6121487
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5651611	0.5559913	0.5829984
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6965371	0.6899033	0.7074406
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7469329	0.7366755	0.7544860
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4236897	0.4070288	0.4491043
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0918861	-0.1160120	-0.0602499
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4301777	-0.4590073	-0.4123577
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4033215	-0.4200666	-0.3937234
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3530123	-0.3677881	-0.3276458
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.0862241	-0.1176715	-0.0340902
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0721351	-0.1117779	-0.0251592
nitrate + silicate	Atlantic	(-Inf,26]	0.5667552	0.5077030	0.6278067
nitrate + silicate	Atlantic	(26,26.5]	0.6015545	0.5904482	0.6149635
nitrate + silicate	Atlantic	(26.5,26.75]	0.7149399	0.7051974	0.7341954
nitrate + silicate	Atlantic	(26.75,27]	0.8500347	0.8339624	0.8680878
nitrate + silicate	Atlantic	(27,27.25]	0.8292394	0.8204024	0.8416481
nitrate + silicate	Atlantic	(27.25,27.5]	0.8143533	0.8101337	0.8198598
nitrate + silicate	Atlantic	(27.5,27.75]	0.8274761	0.8242147	0.8331064
nitrate + silicate	Atlantic	(27.75,27.85]	0.8130016	0.8020620	0.8299544
nitrate + silicate	Atlantic	(27.85,27.95]	0.9087550	0.9054195	0.9140770
nitrate + silicate	Atlantic	(27.95,28.05]	0.9580634	0.9558194	0.9596016
nitrate + silicate	Atlantic	(28.05,28.1]	0.9827048	0.9817978	0.9841700
nitrate + silicate	Atlantic	(28.1,28.15]	0.9897508	0.9888577	0.9903229
nitrate + silicate	Atlantic	(28.15,28.2]	0.9584994	0.9569881	0.9595401
nitrate + silicate	Atlantic	(28.2, Inf]	0.7485407	0.7352777	0.7567708
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8748916	0.8684845	0.8851123
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8346970	0.8217402	0.8478056
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8364965	0.8267971	0.8503202
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8881686	0.8840855	0.8936321
nitrate + silicate	Indo-Pacific	(27,27.25]	0.9417448	0.9383780	0.9445809
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9598988	0.9566177	0.9618629
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9790999	0.9789770	0.9793007
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9905261	0.9894726	0.9910791
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9910629	0.9910222	0.9911401
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9926977	0.9916215	0.9937049
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9926967	0.9924777	0.9928539
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.8738502	0.8731810	0.8746707
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.3399507	0.3248814	0.3639740
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7661159	0.7499155	0.7904655
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.5295223	0.5012750	0.5784567
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1878557	0.1295396	0.2285183
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3645726	0.3432049	0.3885998
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.5201299	0.5080775	0.5268883
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6003543	0.5960995	0.6036235
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7422513	0.7361556	0.7535003
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8829161	0.8809228	0.8843755
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9431439	0.9421566	0.9441335
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9713354	0.9696184	0.9722365
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9743346	0.9728805	0.9754155
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9802081	0.9761185	0.9827890
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9725710	0.9683503	0.9751735
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7818160	0.7765003	0.7890690
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6563904	0.6526327	0.6615172
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6369345	0.6358713	0.6389321
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7345683	0.7327703	0.7381008
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.7622970	0.7570597	0.7661032
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.4595279	0.4455595	0.4850293
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0810042	-0.1052220	-0.0478071
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4196213	-0.4493258	-0.4027061
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4097153	-0.4260761	-0.4006395
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3635464	-0.3765577	-0.3405625
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1046046	-0.1356491	-0.0529292
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0766122	-0.1191873	-0.0256682
sal + aou	Atlantic	(-Inf,26]	-0.3513072	-0.4200788	-0.2924338
sal + aou	Atlantic	(26,26.5]	-0.3750076	-0.4015233	-0.3472271
sal + aou	Atlantic	(26.5,26.75]	0.1819670	0.1153948	0.2355421
sal + aou	Atlantic	(26.75,27]	0.4334254	0.4183038	0.4556947
sal + aou	Atlantic	(27,27.25]	0.3577904	0.3353585	0.3762718
sal + aou	Atlantic	(27.25,27.5]	0.3598994	0.3147322	0.3868360
sal + aou	Atlantic	(27.5,27.75]	0.6442749	0.6179828	0.6607740
sal + aou	Atlantic	(27.75,27.85]	0.6398587	0.6025966	0.6729554
sal + aou	Atlantic	(27.85,27.95]	0.5423624	0.4716889	0.5780073
sal + aou	Atlantic	(27.95,28.05]	-0.0124885	-0.0671786	0.0262968
sal + aou	Atlantic	(28.05,28.1]	-0.6146478	-0.6726537	-0.5741704
sal + aou	Atlantic	(28.1,28.15]	-0.7901187	-0.8173158	-0.7651843
sal + aou	Atlantic	(28.15,28.2]	-0.8634896	-0.8766569	-0.8490881
sal + aou	Atlantic	(28.2, Inf]	-0.8241306	-0.8498320	-0.7878163
sal + aou	Indo-Pacific	(-Inf,26]	-0.2989475	-0.3258106	-0.2837848
sal + aou	Indo-Pacific	(26,26.5]	-0.1994040	-0.2086740	-0.1889700
sal + aou	Indo-Pacific	(26.5,26.75]	-0.2078971	-0.2178134	-0.2003732
sal + aou	Indo-Pacific	(26.75,27]	-0.3969207	-0.4009286	-0.3939429
sal + aou	Indo-Pacific	(27,27.25]	-0.5660400	-0.5770286	-0.5596069
sal + aou	Indo-Pacific	(27.25,27.5]	-0.2744499	-0.3277077	-0.2409524
sal + aou	Indo-Pacific	(27.5,27.75]	0.3852660	0.3395082	0.4124681
sal + aou	Indo-Pacific	(27.75,27.85]	0.6698473	0.6634741	0.6810261
sal + aou	Indo-Pacific	(27.85,27.95]	0.7724554	0.7709796	0.7738535
sal + aou	Indo-Pacific	(27.95,28.05]	0.8416448	0.8261084	0.8522638
sal + aou	Indo-Pacific	(28.05,28.1]	0.8472863	0.8416981	0.8513516
sal + aou	Indo-Pacific	(28.1, Inf]	0.4979161	0.4714034	0.5164604
sal + nitrate	Atlantic	(-Inf,26]	-0.6356969	-0.7308731	-0.5599181
sal + nitrate	Atlantic	(26,26.5]	-0.3999262	-0.4278015	-0.3821537
sal + nitrate	Atlantic	(26.5,26.75]	0.1159378	0.0276357	0.1883548
sal + nitrate	Atlantic	(26.75,27]	0.3801156	0.3438782	0.4095562
sal + nitrate	Atlantic	(27,27.25]	0.2135394	0.1743881	0.2515439
sal + nitrate	Atlantic	(27.25,27.5]	-0.0063425	-0.0751069	0.0560489
sal + nitrate	Atlantic	(27.5,27.75]	0.2340160	0.1854774	0.2621471
sal + nitrate	Atlantic	(27.75,27.85]	-0.3450107	-0.3868427	-0.3091653
sal + nitrate	Atlantic	(27.85,27.95]	-0.6662568	-0.6792918	-0.6514530
sal + nitrate	Atlantic	(27.95,28.05]	-0.8446790	-0.8550036	-0.8284878
sal + nitrate	Atlantic	(28.05,28.1]	-0.9384391	-0.9485378	-0.9273027
sal + nitrate	Atlantic	(28.1,28.15]	-0.9667984	-0.9719308	-0.9621501
sal + nitrate	Atlantic	(28.15,28.2]	-0.9607929	-0.9635286	-0.9576747
sal + nitrate	Atlantic	(28.2, Inf]	-0.9331212	-0.9357673	-0.9306342
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.4321357	-0.4559433	-0.4153458
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4633518	-0.4642931	-0.4626868
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4842252	-0.4981507	-0.4753307
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5905821	-0.5997989	-0.5818776
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7171738	-0.7271387	-0.7106730
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.4089943	-0.4604482	-0.3744510
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.2835668	0.2354471	0.3132117
sal + nitrate	Indo-Pacific	(27.75,27.85]	0.6180146	0.6154754	0.6218175
sal + nitrate	Indo-Pacific	(27.85,27.95]	0.7182650	0.7093920	0.7257341
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.7776227	0.7585141	0.7925664
sal + nitrate	Indo-Pacific	(28.05,28.1]	0.7814681	0.7765802	0.7873809
sal + nitrate	Indo-Pacific	(28.1, Inf]	0.4282793	0.4024435	0.4476060
sal + phosphate	Atlantic	(-Inf,26]	-0.2895858	-0.3412877	-0.2572157
sal + phosphate	Atlantic	(26,26.5]	-0.5857093	-0.6375619	-0.5437344
sal + phosphate	Atlantic	(26.5,26.75]	-0.0746124	-0.1698754	0.0015262
sal + phosphate	Atlantic	(26.75,27]	0.2603670	0.2141367	0.2933816
sal + phosphate	Atlantic	(27,27.25]	0.0841360	0.0502993	0.1231150
sal + phosphate	Atlantic	(27.25,27.5]	-0.1212613	-0.1886925	-0.0568152
sal + phosphate	Atlantic	(27.5,27.75]	0.1375138	0.0846915	0.1699693
sal + phosphate	Atlantic	(27.75,27.85]	-0.4237011	-0.4694525	-0.3884154
sal + phosphate	Atlantic	(27.85,27.95]	-0.7021826	-0.7148393	-0.6868952
sal + phosphate	Atlantic	(27.95,28.05]	-0.8544969	-0.8646599	-0.8376978
sal + phosphate	Atlantic	(28.05,28.1]	-0.9426459	-0.9526596	-0.9317087
sal + phosphate	Atlantic	(28.1,28.15]	-0.9683466	-0.9736966	-0.9635216
sal + phosphate	Atlantic	(28.15,28.2]	-0.9479977	-0.9510232	-0.9447805
sal + phosphate	Atlantic	(28.2, Inf]	-0.8914983	-0.8942503	-0.8868938
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3798681	-0.4044196	-0.3508493
sal + phosphate	Indo-Pacific	(26,26.5]	-0.4089387	-0.4161990	-0.4045137
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3992302	-0.4056898	-0.3889538
sal + phosphate	Indo-Pacific	(26.75,27]	-0.5103180	-0.5141853	-0.5082063
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6623910	-0.6730139	-0.6524763
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.3787529	-0.4348847	-0.3429626
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.2867919	0.2358352	0.3185266
sal + phosphate	Indo-Pacific	(27.75,27.85]	0.6131483	0.6068071	0.6245886
sal + phosphate	Indo-Pacific	(27.85,27.95]	0.7226247	0.7178191	0.7260730
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.7924930	0.7759090	0.8047971
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.8071122	0.8033204	0.8117238
sal + phosphate	Indo-Pacific	(28.1, Inf]	0.4855271	0.4590167	0.5049245
sal + phosphate_star	Atlantic	(-Inf,26]	-0.3558642	-0.4902271	-0.2638533
sal + phosphate_star	Atlantic	(26,26.5]	-0.7993124	-0.8332353	-0.7699441
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7699171	-0.8094788	-0.7346698
sal + phosphate_star	Atlantic	(26.75,27]	-0.7329712	-0.7639794	-0.7095797
sal + phosphate_star	Atlantic	(27,27.25]	-0.7637973	-0.7848979	-0.7327046
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8037763	-0.8496659	-0.7641818
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5613980	-0.6006747	-0.5332876
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8832730	-0.9133772	-0.8672848
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.9365439	-0.9452963	-0.9269512
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9592142	-0.9659677	-0.9486525
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9836955	-0.9875297	-0.9789338
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9863945	-0.9886906	-0.9846591
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9679452	-0.9735196	-0.9610889
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.8844434	-0.8957383	-0.8782558
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.6725322	-0.6917894	-0.6389376
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8763104	-0.8797064	-0.8722351
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9032433	-0.9098824	-0.8988573
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8413793	-0.8496329	-0.8368402
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.9000601	-0.9097441	-0.8875498
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8132789	-0.8355797	-0.7974297
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.7924682	-0.7974252	-0.7849656
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.8676417	-0.8790286	-0.8607157
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.8208946	-0.8285820	-0.8140873
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7660996	-0.7728727	-0.7574039
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5449653	-0.5628076	-0.5118470
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.2239273	-0.2394119	-0.2008690
sal + silicate	Atlantic	(-Inf,26]	-0.8025166	-0.8311899	-0.7516350
sal + silicate	Atlantic	(26,26.5]	0.0439102	-0.0123260	0.1247918
sal + silicate	Atlantic	(26.5,26.75]	0.2127878	0.2074171	0.2215494
sal + silicate	Atlantic	(26.75,27]	0.1533110	0.0826588	0.2109302
sal + silicate	Atlantic	(27,27.25]	-0.1507206	-0.2124389	-0.0760310
sal + silicate	Atlantic	(27.25,27.5]	-0.3583848	-0.4424802	-0.2753501
sal + silicate	Atlantic	(27.5,27.75]	-0.1486751	-0.1837184	-0.1253526
sal + silicate	Atlantic	(27.75,27.85]	-0.7358937	-0.7782109	-0.7101322
sal + silicate	Atlantic	(27.85,27.95]	-0.8544824	-0.8648079	-0.8391410
sal + silicate	Atlantic	(27.95,28.05]	-0.9049692	-0.9096943	-0.8959082
sal + silicate	Atlantic	(28.05,28.1]	-0.9553308	-0.9645356	-0.9438749
sal + silicate	Atlantic	(28.1,28.15]	-0.9613693	-0.9681509	-0.9560152
sal + silicate	Atlantic	(28.15,28.2]	-0.8586516	-0.8595198	-0.8577195
sal + silicate	Atlantic	(28.2, Inf]	-0.5079572	-0.5251345	-0.4830389
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5497168	-0.5631400	-0.5391613
sal + silicate	Indo-Pacific	(26,26.5]	-0.5974958	-0.6023293	-0.5926745
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6379067	-0.6504804	-0.6307290
sal + silicate	Indo-Pacific	(26.75,27]	-0.6626091	-0.6674913	-0.6574716
sal + silicate	Indo-Pacific	(27,27.25]	-0.7466636	-0.7546748	-0.7374758
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.4901063	-0.5421721	-0.4561549
sal + silicate	Indo-Pacific	(27.5,27.75]	0.2026012	0.1489247	0.2381057
sal + silicate	Indo-Pacific	(27.75,27.85]	0.5745604	0.5686390	0.5859320
sal + silicate	Indo-Pacific	(27.85,27.95]	0.7001572	0.6929921	0.7047433
sal + silicate	Indo-Pacific	(27.95,28.05]	0.7838366	0.7676758	0.7957171
sal + silicate	Indo-Pacific	(28.05,28.1]	0.8094380	0.8053497	0.8154900
sal + silicate	Indo-Pacific	(28.1, Inf]	0.7318738	0.7094183	0.7488472
sal + temp	Atlantic	(-Inf,26]	0.6804403	0.6490955	0.7129495
sal + temp	Atlantic	(26,26.5]	0.9446570	0.9388760	0.9500716
sal + temp	Atlantic	(26.5,26.75]	0.9725695	0.9698688	0.9747983
sal + temp	Atlantic	(26.75,27]	0.9711583	0.9691020	0.9723119
sal + temp	Atlantic	(27,27.25]	0.9634018	0.9618858	0.9650907
sal + temp	Atlantic	(27.25,27.5]	0.9737844	0.9723057	0.9751536
sal + temp	Atlantic	(27.5,27.75]	0.9715542	0.9694459	0.9726431
sal + temp	Atlantic	(27.75,27.85]	0.9857344	0.9851248	0.9866379
sal + temp	Atlantic	(27.85,27.95]	0.9818811	0.9810567	0.9824529
sal + temp	Atlantic	(27.95,28.05]	0.9759669	0.9734951	0.9779035
sal + temp	Atlantic	(28.05,28.1]	0.9827287	0.9825603	0.9828497
sal + temp	Atlantic	(28.1,28.15]	0.9789506	0.9773887	0.9803086
sal + temp	Atlantic	(28.15,28.2]	0.9766269	0.9743068	0.9779585
sal + temp	Atlantic	(28.2, Inf]	0.9399312	0.9346887	0.9458047
sal + temp	Indo-Pacific	(-Inf,26]	0.8144265	0.8084831	0.8222105
sal + temp	Indo-Pacific	(26,26.5]	0.9569636	0.9557497	0.9590107
sal + temp	Indo-Pacific	(26.5,26.75]	0.9813771	0.9803751	0.9821525
sal + temp	Indo-Pacific	(26.75,27]	0.9776010	0.9772135	0.9779032
sal + temp	Indo-Pacific	(27,27.25]	0.9766079	0.9760416	0.9771722
sal + temp	Indo-Pacific	(27.25,27.5]	0.9177904	0.9171248	0.9190571
sal + temp	Indo-Pacific	(27.5,27.75]	0.8527642	0.8499720	0.8546917
sal + temp	Indo-Pacific	(27.75,27.85]	0.9631531	0.9610570	0.9652459
sal + temp	Indo-Pacific	(27.85,27.95]	0.9376573	0.9345639	0.9403137
sal + temp	Indo-Pacific	(27.95,28.05]	0.9449573	0.9417683	0.9485142
sal + temp	Indo-Pacific	(28.05,28.1]	0.9577089	0.9560115	0.9588105
sal + temp	Indo-Pacific	(28.1, Inf]	0.5340227	0.5228101	0.5422272
silicate + phosphate	Atlantic	(-Inf,26]	-0.0625531	-0.1115110	-0.0360923
silicate + phosphate	Atlantic	(26,26.5]	-0.0300472	-0.0427716	-0.0122431
silicate + phosphate	Atlantic	(26.5,26.75]	0.5461807	0.5189429	0.5823313
silicate + phosphate	Atlantic	(26.75,27]	0.8469037	0.8443382	0.8515192
silicate + phosphate	Atlantic	(27,27.25]	0.8764922	0.8680840	0.8849633
silicate + phosphate	Atlantic	(27.25,27.5]	0.8680871	0.8663288	0.8706613
silicate + phosphate	Atlantic	(27.5,27.75]	0.8750689	0.8723233	0.8794447
silicate + phosphate	Atlantic	(27.75,27.85]	0.8616272	0.8549611	0.8736796
silicate + phosphate	Atlantic	(27.85,27.95]	0.9298096	0.9272687	0.9335750
silicate + phosphate	Atlantic	(27.95,28.05]	0.9661541	0.9646354	0.9670844
silicate + phosphate	Atlantic	(28.05,28.1]	0.9862172	0.9854730	0.9875379
silicate + phosphate	Atlantic	(28.1,28.15]	0.9922880	0.9914285	0.9927348
silicate + phosphate	Atlantic	(28.15,28.2]	0.9721845	0.9709789	0.9729053
silicate + phosphate	Atlantic	(28.2, Inf]	0.8214431	0.8119220	0.8268964
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8889484	0.8840289	0.8925710
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8860740	0.8833433	0.8876240
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8654739	0.8642974	0.8674191
silicate + phosphate	Indo-Pacific	(26.75,27]	0.9142684	0.9136106	0.9152588
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9548742	0.9547152	0.9550756
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9707820	0.9702036	0.9719040
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9797260	0.9794862	0.9800408
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9882581	0.9873469	0.9892402
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9892688	0.9891673	0.9893808
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9930146	0.9918404	0.9939238
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9951654	0.9949611	0.9952915
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.8955795	0.8950180	0.8959914
silicate + phosphate_star	Atlantic	(-Inf,26]	0.0938298	-0.0391712	0.2970116
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3191797	-0.3374319	-0.2930605
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0528128	0.0148913	0.1053099
silicate + phosphate_star	Atlantic	(26.75,27]	0.2464644	0.2047450	0.3281810
silicate + phosphate_star	Atlantic	(27,27.25]	0.6243617	0.5962418	0.6691729
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.7631623	0.7466811	0.7721517
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8346414	0.8234308	0.8409861
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9189155	0.9168795	0.9199372
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9442052	0.9431052	0.9457142
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9554764	0.9527386	0.9572629
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9715710	0.9680702	0.9736551
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9690265	0.9667496	0.9726491
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9332999	0.9281364	0.9394998
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8184075	0.8049468	0.8357684
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7567143	0.7471029	0.7665474
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7617389	0.7598415	0.7630768
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7687188	0.7669495	0.7707672
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8002695	0.7959596	0.8062740
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.7886650	0.7860100	0.7929172
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.5134521	0.5002685	0.5386923
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0156230	-0.0395984	0.0207964
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3936518	-0.4192486	-0.3785828
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3821515	-0.3960413	-0.3739287
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.3547193	-0.3668731	-0.3311742
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.1201456	-0.1519291	-0.0710127
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0214392	-0.0197614	0.0731651
temp + aou	Atlantic	(-Inf,26]	-0.5530741	-0.5917281	-0.5277508
temp + aou	Atlantic	(26,26.5]	-0.4144147	-0.4481268	-0.3625415
temp + aou	Atlantic	(26.5,26.75]	0.0831971	0.0310924	0.1237687
temp + aou	Atlantic	(26.75,27]	0.3491874	0.3267083	0.3824623
temp + aou	Atlantic	(27,27.25]	0.3324938	0.3128700	0.3530177
temp + aou	Atlantic	(27.25,27.5]	0.3783180	0.3458377	0.3966989
temp + aou	Atlantic	(27.5,27.75]	0.6467761	0.6149136	0.6674832
temp + aou	Atlantic	(27.75,27.85]	0.6541387	0.6159768	0.6870169
temp + aou	Atlantic	(27.85,27.95]	0.5682296	0.5043319	0.6002070
temp + aou	Atlantic	(27.95,28.05]	0.0828073	0.0276983	0.1201469
temp + aou	Atlantic	(28.05,28.1]	-0.5201155	-0.5789603	-0.4776950
temp + aou	Atlantic	(28.1,28.15]	-0.7144261	-0.7443949	-0.6882845
temp + aou	Atlantic	(28.15,28.2]	-0.8368860	-0.8454515	-0.8202934
temp + aou	Atlantic	(28.2, Inf]	-0.7809121	-0.7923043	-0.7610710
temp + aou	Indo-Pacific	(-Inf,26]	-0.4018795	-0.4110226	-0.3917945
temp + aou	Indo-Pacific	(26,26.5]	-0.2414258	-0.2510033	-0.2283347
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1978830	-0.2029504	-0.1904351
temp + aou	Indo-Pacific	(26.75,27]	-0.3440209	-0.3458142	-0.3407920
temp + aou	Indo-Pacific	(27,27.25]	-0.5308246	-0.5410150	-0.5236080
temp + aou	Indo-Pacific	(27.25,27.5]	-0.2585885	-0.3023274	-0.2350289
temp + aou	Indo-Pacific	(27.5,27.75]	0.3068194	0.2610772	0.3323312
temp + aou	Indo-Pacific	(27.75,27.85]	0.6845595	0.6766541	0.6910214
temp + aou	Indo-Pacific	(27.85,27.95]	0.7427716	0.7420104	0.7440732
temp + aou	Indo-Pacific	(27.95,28.05]	0.7932789	0.7868440	0.7975998
temp + aou	Indo-Pacific	(28.05,28.1]	0.7969371	0.7878059	0.8050489
temp + aou	Indo-Pacific	(28.1, Inf]	0.8139221	0.8050708	0.8229064
temp + nitrate	Atlantic	(-Inf,26]	-0.7436639	-0.7702793	-0.7193311
temp + nitrate	Atlantic	(26,26.5]	-0.4277083	-0.4861274	-0.3743398
temp + nitrate	Atlantic	(26.5,26.75]	0.0116591	-0.0639613	0.0694685
temp + nitrate	Atlantic	(26.75,27]	0.2812104	0.2486683	0.3202781
temp + nitrate	Atlantic	(27,27.25]	0.1777090	0.1404273	0.2189393
temp + nitrate	Atlantic	(27.25,27.5]	0.0199482	-0.0368330	0.0774662
temp + nitrate	Atlantic	(27.5,27.75]	0.2244225	0.1839760	0.2475925
temp + nitrate	Atlantic	(27.75,27.85]	-0.3401191	-0.3726293	-0.3048172
temp + nitrate	Atlantic	(27.85,27.95]	-0.6506745	-0.6639289	-0.6328554
temp + nitrate	Atlantic	(27.95,28.05]	-0.7983979	-0.8072842	-0.7838673
temp + nitrate	Atlantic	(28.05,28.1]	-0.8946291	-0.9061785	-0.8837451
temp + nitrate	Atlantic	(28.1,28.15]	-0.9261660	-0.9324294	-0.9189028
temp + nitrate	Atlantic	(28.15,28.2]	-0.9421506	-0.9487190	-0.9353612
temp + nitrate	Atlantic	(28.2, Inf]	-0.9293554	-0.9368776	-0.9251343
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5610624	-0.5675398	-0.5530276
temp + nitrate	Indo-Pacific	(26,26.5]	-0.5087964	-0.5147420	-0.5045853
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4798735	-0.4982872	-0.4663030
temp + nitrate	Indo-Pacific	(26.75,27]	-0.5496499	-0.5637501	-0.5378780
temp + nitrate	Indo-Pacific	(27,27.25]	-0.6967761	-0.7069399	-0.6916721
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.4223237	-0.4627246	-0.3991612
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.1644564	0.1176918	0.1893299
temp + nitrate	Indo-Pacific	(27.75,27.85]	0.6278914	0.6208947	0.6332887
temp + nitrate	Indo-Pacific	(27.85,27.95]	0.6751141	0.6712296	0.6787483
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.7189627	0.7098024	0.7252396
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.7199411	0.7130834	0.7290752
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.7342127	0.7229366	0.7463166
temp + phosphate	Atlantic	(-Inf,26]	-0.6233356	-0.6569162	-0.5606861
temp + phosphate	Atlantic	(26,26.5]	-0.6153541	-0.6618800	-0.5879974
temp + phosphate	Atlantic	(26.5,26.75]	-0.1639689	-0.2424002	-0.1028178
temp + phosphate	Atlantic	(26.75,27]	0.1711135	0.1313570	0.2114179
temp + phosphate	Atlantic	(27,27.25]	0.0669313	0.0360591	0.1088425
temp + phosphate	Atlantic	(27.25,27.5]	-0.0864298	-0.1420512	-0.0268137
temp + phosphate	Atlantic	(27.5,27.75]	0.1316060	0.0878442	0.1590908
temp + phosphate	Atlantic	(27.75,27.85]	-0.4187269	-0.4553427	-0.3839919
temp + phosphate	Atlantic	(27.85,27.95]	-0.6861701	-0.6992422	-0.6679865
temp + phosphate	Atlantic	(27.95,28.05]	-0.8103572	-0.8190986	-0.7949304
temp + phosphate	Atlantic	(28.05,28.1]	-0.8997887	-0.9111812	-0.8891283
temp + phosphate	Atlantic	(28.1,28.15]	-0.9295425	-0.9361042	-0.9220252
temp + phosphate	Atlantic	(28.15,28.2]	-0.9356675	-0.9422920	-0.9285115
temp + phosphate	Atlantic	(28.2, Inf]	-0.9120437	-0.9180557	-0.9079567
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.5007322	-0.5153092	-0.4863265
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4561960	-0.4612157	-0.4482987
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3932293	-0.4059569	-0.3827415
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4629885	-0.4713429	-0.4583161
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6363472	-0.6465544	-0.6277135
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.3839040	-0.4311786	-0.3579652
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.1867945	0.1362302	0.2133992
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.6242454	0.6157191	0.6313124
temp + phosphate	Indo-Pacific	(27.85,27.95]	0.6818481	0.6803244	0.6829433
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.7319000	0.7249668	0.7360523
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.7414965	0.7357443	0.7491665
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.7579044	0.7449650	0.7711184
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7349682	-0.8512345	-0.6569761
temp + phosphate_star	Atlantic	(26,26.5]	-0.8155662	-0.8350374	-0.7877151
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7916356	-0.8240600	-0.7644413
temp + phosphate_star	Atlantic	(26.75,27]	-0.7663145	-0.7906352	-0.7443336
temp + phosphate_star	Atlantic	(27,27.25]	-0.7591761	-0.7795703	-0.7259254
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.7811468	-0.8246077	-0.7429781
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.5749320	-0.6002415	-0.5537548
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8896308	-0.9120324	-0.8764821
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.9357597	-0.9438399	-0.9255070
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9481276	-0.9536151	-0.9393638
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9693617	-0.9736123	-0.9652678
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9744566	-0.9785915	-0.9693078
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9697918	-0.9759544	-0.9605542
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9403217	-0.9470143	-0.9349911
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8261069	-0.8457939	-0.8126532
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9185852	-0.9204110	-0.9169295
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9152508	-0.9216122	-0.9099051
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8378204	-0.8477449	-0.8326979
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9163403	-0.9252930	-0.9041129
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9200440	-0.9411338	-0.9074520
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9390079	-0.9407476	-0.9375183
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9076533	-0.9184781	-0.9016021
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.9094843	-0.9134217	-0.9034772
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.8561660	-0.8602773	-0.8480812
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6746259	-0.6919411	-0.6427025
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5942909	-0.6086760	-0.5739876
temp + silicate	Atlantic	(-Inf,26]	-0.4671876	-0.4863418	-0.4547461
temp + silicate	Atlantic	(26,26.5]	0.0525676	0.0327053	0.0734329
temp + silicate	Atlantic	(26.5,26.75]	0.1297203	0.1213737	0.1380127
temp + silicate	Atlantic	(26.75,27]	0.0366316	-0.0243362	0.0786633
temp + silicate	Atlantic	(27,27.25]	-0.1873386	-0.2430213	-0.1127558
temp + silicate	Atlantic	(27.25,27.5]	-0.3238377	-0.3991694	-0.2440767
temp + silicate	Atlantic	(27.5,27.75]	-0.1652731	-0.1889237	-0.1471881
temp + silicate	Atlantic	(27.75,27.85]	-0.7283524	-0.7647516	-0.7088062
temp + silicate	Atlantic	(27.85,27.95]	-0.8302912	-0.8423875	-0.8145185
temp + silicate	Atlantic	(27.95,28.05]	-0.8724078	-0.8785050	-0.8636675
temp + silicate	Atlantic	(28.05,28.1]	-0.9200286	-0.9309174	-0.9080484
temp + silicate	Atlantic	(28.1,28.15]	-0.9306545	-0.9401080	-0.9218969
temp + silicate	Atlantic	(28.15,28.2]	-0.8600819	-0.8640084	-0.8557040
temp + silicate	Atlantic	(28.2, Inf]	-0.6447962	-0.6631342	-0.6272920
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5995029	-0.6003076	-0.5983971
temp + silicate	Indo-Pacific	(26,26.5]	-0.6221723	-0.6311156	-0.6130115
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6363836	-0.6532532	-0.6262264
temp + silicate	Indo-Pacific	(26.75,27]	-0.6321928	-0.6397272	-0.6267135
temp + silicate	Indo-Pacific	(27,27.25]	-0.7344472	-0.7420918	-0.7260731
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.4966706	-0.5401137	-0.4723794
temp + silicate	Indo-Pacific	(27.5,27.75]	0.0924207	0.0400503	0.1188488
temp + silicate	Indo-Pacific	(27.75,27.85]	0.5853005	0.5745084	0.5931357
temp + silicate	Indo-Pacific	(27.85,27.95]	0.6450387	0.6423645	0.6471927
temp + silicate	Indo-Pacific	(27.95,28.05]	0.7155285	0.7056480	0.7211102
temp + silicate	Indo-Pacific	(28.05,28.1]	0.7464151	0.7416270	0.7553755
temp + silicate	Indo-Pacific	(28.1, Inf]	0.6438978	0.6318607	0.6560185

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
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]	0.3974007	0.3525260	0.4575999
aou	Atlantic	(26,26.5]	0.0069775	-0.1788141	0.1181356
aou	Atlantic	(26.5,26.75]	-0.0536149	-0.1816116	0.0490572
aou	Atlantic	(26.75,27]	-0.0372250	-0.2969799	0.2275829
aou	Atlantic	(27,27.25]	-0.3423772	-0.5166282	-0.1524356
aou	Atlantic	(27.25,27.5]	-0.3276329	-0.3974682	-0.2135187
aou	Atlantic	(27.5,27.75]	-0.1640718	-0.2157611	-0.0835671
aou	Atlantic	(27.75,27.85]	0.0332790	-0.0025268	0.0645480
aou	Atlantic	(27.85,27.95]	-0.0244683	-0.0703598	0.0141190
aou	Atlantic	(27.95,28.05]	-0.4116064	-0.4539385	-0.3735419
aou	Atlantic	(28.05,28.1]	-0.8167529	-0.8426853	-0.7964788
aou	Atlantic	(28.1,28.15]	-0.8852060	-0.8975767	-0.8680323
aou	Atlantic	(28.15,28.2]	-0.9352482	-0.9462147	-0.9221669
aou	Atlantic	(28.2, Inf]	-0.8185865	-0.8219465	-0.8141131
aou	Indo-Pacific	(-Inf,26]	-0.1213722	-0.2525572	0.0405488
aou	Indo-Pacific	(26,26.5]	-0.4329626	-0.5676766	-0.2529112
aou	Indo-Pacific	(26.5,26.75]	-0.7001627	-0.7706320	-0.5943580
aou	Indo-Pacific	(26.75,27]	-0.7780196	-0.8444564	-0.6980352
aou	Indo-Pacific	(27,27.25]	-0.7719923	-0.8395754	-0.6794377
aou	Indo-Pacific	(27.25,27.5]	-0.6570677	-0.8173557	-0.4211211
aou	Indo-Pacific	(27.5,27.75]	-0.2791052	-0.7158425	0.3560242
aou	Indo-Pacific	(27.75,27.85]	0.0794266	-0.5176234	0.7558086
aou	Indo-Pacific	(27.85,27.95]	0.2101863	-0.2972192	0.7515789
aou	Indo-Pacific	(27.95,28.05]	0.2187083	-0.2333037	0.6913317
aou	Indo-Pacific	(28.05,28.1]	0.3174812	-0.0482335	0.6922950
aou	Indo-Pacific	(28.1, Inf]	0.5521481	0.4267458	0.6743417
nitrate	Atlantic	(-Inf,26]	0.1195190	0.0217533	0.1922343
nitrate	Atlantic	(26,26.5]	-0.2149407	-0.4336951	-0.0552940
nitrate	Atlantic	(26.5,26.75]	-0.2123713	-0.3451096	-0.1158177
nitrate	Atlantic	(26.75,27]	-0.1455233	-0.3890353	0.1052965
nitrate	Atlantic	(27,27.25]	-0.5305693	-0.6718045	-0.3674980
nitrate	Atlantic	(27.25,27.5]	-0.7123338	-0.7776789	-0.6269247
nitrate	Atlantic	(27.5,27.75]	-0.8284246	-0.8578559	-0.7901106
nitrate	Atlantic	(27.75,27.85]	-0.8740754	-0.8853715	-0.8595996
nitrate	Atlantic	(27.85,27.95]	-0.9541659	-0.9576953	-0.9508814
nitrate	Atlantic	(27.95,28.05]	-0.9399569	-0.9420520	-0.9364853
nitrate	Atlantic	(28.05,28.1]	-0.9924810	-0.9946520	-0.9910409
nitrate	Atlantic	(28.1,28.15]	-0.9928986	-0.9932201	-0.9923414
nitrate	Atlantic	(28.15,28.2]	-0.9913466	-0.9947555	-0.9848522
nitrate	Atlantic	(28.2, Inf]	-0.9655498	-0.9704933	-0.9626350
nitrate	Indo-Pacific	(-Inf,26]	-0.1119906	-0.2515912	0.0454787
nitrate	Indo-Pacific	(26,26.5]	-0.4446458	-0.5751148	-0.2739327
nitrate	Indo-Pacific	(26.5,26.75]	-0.6388455	-0.6835348	-0.5865198
nitrate	Indo-Pacific	(26.75,27]	-0.7093345	-0.7519934	-0.6578890
nitrate	Indo-Pacific	(27,27.25]	-0.7348539	-0.7963399	-0.6571759
nitrate	Indo-Pacific	(27.25,27.5]	-0.6475408	-0.8027983	-0.4249560
nitrate	Indo-Pacific	(27.5,27.75]	-0.2995035	-0.7234693	0.3168770
nitrate	Indo-Pacific	(27.75,27.85]	0.1200064	-0.4645205	0.7722169
nitrate	Indo-Pacific	(27.85,27.95]	0.2652695	-0.2225457	0.7850096
nitrate	Indo-Pacific	(27.95,28.05]	0.2834236	-0.1518298	0.7310001
nitrate	Indo-Pacific	(28.05,28.1]	0.3864027	0.0426197	0.7311080
nitrate	Indo-Pacific	(28.1, Inf]	0.5779026	0.4729014	0.6767824
phosphate	Atlantic	(-Inf,26]	0.4512365	0.4145770	0.4992721
phosphate	Atlantic	(26,26.5]	0.0163461	-0.1218773	0.0878722
phosphate	Atlantic	(26.5,26.75]	-0.2164606	-0.3173276	-0.1532914
phosphate	Atlantic	(26.75,27]	-0.1999695	-0.4138492	0.0205910
phosphate	Atlantic	(27,27.25]	-0.5882049	-0.7057332	-0.4409440
phosphate	Atlantic	(27.25,27.5]	-0.7590572	-0.8184624	-0.6878121
phosphate	Atlantic	(27.5,27.75]	-0.8604879	-0.8836997	-0.8289816
phosphate	Atlantic	(27.75,27.85]	-0.9091508	-0.9202163	-0.8957730
phosphate	Atlantic	(27.85,27.95]	-0.9627817	-0.9654663	-0.9603993
phosphate	Atlantic	(27.95,28.05]	-0.9455349	-0.9486783	-0.9416619
phosphate	Atlantic	(28.05,28.1]	-0.9926864	-0.9950630	-0.9913483
phosphate	Atlantic	(28.1,28.15]	-0.9930874	-0.9935477	-0.9925197
phosphate	Atlantic	(28.15,28.2]	-0.9913487	-0.9943305	-0.9865859
phosphate	Atlantic	(28.2, Inf]	-0.9782493	-0.9801016	-0.9770190
phosphate	Indo-Pacific	(-Inf,26]	-0.1524127	-0.2884644	0.0160396
phosphate	Indo-Pacific	(26,26.5]	-0.5592613	-0.6876015	-0.3856778
phosphate	Indo-Pacific	(26.5,26.75]	-0.7938145	-0.8576488	-0.6996688
phosphate	Indo-Pacific	(26.75,27]	-0.8426359	-0.8953520	-0.7752929
phosphate	Indo-Pacific	(27,27.25]	-0.8215344	-0.8754787	-0.7488064
phosphate	Indo-Pacific	(27.25,27.5]	-0.7139001	-0.8519475	-0.5068126
phosphate	Indo-Pacific	(27.5,27.75]	-0.3068369	-0.7229600	0.3018463
phosphate	Indo-Pacific	(27.75,27.85]	0.1205036	-0.4604381	0.7692482
phosphate	Indo-Pacific	(27.85,27.95]	0.2577134	-0.2333555	0.7741919
phosphate	Indo-Pacific	(27.95,28.05]	0.2711628	-0.1634662	0.7187231
phosphate	Indo-Pacific	(28.05,28.1]	0.3595703	0.0139295	0.7083548
phosphate	Indo-Pacific	(28.1, Inf]	0.5361402	0.4232371	0.6445059
phosphate_star	Atlantic	(-Inf,26]	-0.0020842	-0.0392555	0.0295483
phosphate_star	Atlantic	(26,26.5]	0.0997165	0.0671151	0.1529473
phosphate_star	Atlantic	(26.5,26.75]	-0.3694433	-0.4181853	-0.3347548
phosphate_star	Atlantic	(26.75,27]	-0.4651586	-0.5628964	-0.3680423
phosphate_star	Atlantic	(27,27.25]	-0.6461486	-0.7319496	-0.5369256
phosphate_star	Atlantic	(27.25,27.5]	-0.7435979	-0.8161453	-0.7026037
phosphate_star	Atlantic	(27.5,27.75]	-0.7791032	-0.8192418	-0.7351031
phosphate_star	Atlantic	(27.75,27.85]	-0.8967441	-0.9257277	-0.8764825
phosphate_star	Atlantic	(27.85,27.95]	-0.9020316	-0.9248147	-0.8832379
phosphate_star	Atlantic	(27.95,28.05]	-0.8930289	-0.9159426	-0.8716118
phosphate_star	Atlantic	(28.05,28.1]	-0.9577501	-0.9697482	-0.9485333
phosphate_star	Atlantic	(28.1,28.15]	-0.9646961	-0.9731338	-0.9582865
phosphate_star	Atlantic	(28.15,28.2]	-0.9753854	-0.9807039	-0.9665576
phosphate_star	Atlantic	(28.2, Inf]	-0.9783440	-0.9869583	-0.9665841
phosphate_star	Indo-Pacific	(-Inf,26]	0.0445831	-0.0631754	0.1649936
phosphate_star	Indo-Pacific	(26,26.5]	-0.5503718	-0.6154406	-0.4679732
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.6696938	-0.6848814	-0.6534265
phosphate_star	Indo-Pacific	(26.75,27]	-0.6117146	-0.6336550	-0.5786440
phosphate_star	Indo-Pacific	(27,27.25]	-0.6527937	-0.6604519	-0.6441076
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5194356	-0.5604505	-0.4946074
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1295232	-0.3885470	0.0446945
phosphate_star	Indo-Pacific	(27.75,27.85]	0.3230472	-0.1712164	0.6921626
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3317030	-0.1164291	0.6778155
phosphate_star	Indo-Pacific	(27.95,28.05]	0.3896297	0.0115869	0.7161373
phosphate_star	Indo-Pacific	(28.05,28.1]	0.4133331	0.1720191	0.6334114
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0890535	-0.1805038	-0.0003360
sal	Atlantic	(-Inf,26]	0.5902493	0.5645860	0.6094200
sal	Atlantic	(26,26.5]	-0.0860571	-0.2010055	-0.0011432
sal	Atlantic	(26.5,26.75]	-0.0422415	-0.1148564	0.0758251
sal	Atlantic	(26.75,27]	-0.0628039	-0.2397040	0.1488383
sal	Atlantic	(27,27.25]	0.0528899	-0.1421754	0.2151030
sal	Atlantic	(27.25,27.5]	0.2268909	0.0979451	0.4101121
sal	Atlantic	(27.5,27.75]	-0.0655187	-0.1461656	0.0451953
sal	Atlantic	(27.75,27.85]	0.6023743	0.5599249	0.6263157
sal	Atlantic	(27.85,27.95]	0.7207192	0.7091099	0.7379229
sal	Atlantic	(27.95,28.05]	0.7669124	0.7126765	0.8078875
sal	Atlantic	(28.05,28.1]	0.9231986	0.9062875	0.9389122
sal	Atlantic	(28.1,28.15]	0.9533241	0.9518294	0.9555684
sal	Atlantic	(28.15,28.2]	0.9427132	0.9137766	0.9587553
sal	Atlantic	(28.2, Inf]	0.8467552	0.8365685	0.8629216
sal	Indo-Pacific	(-Inf,26]	-0.1280683	-0.1624724	-0.1007292
sal	Indo-Pacific	(26,26.5]	0.3048455	0.2558921	0.3425063
sal	Indo-Pacific	(26.5,26.75]	0.4201923	0.3982470	0.4369770
sal	Indo-Pacific	(26.75,27]	0.2490463	0.1829247	0.3062581
sal	Indo-Pacific	(27,27.25]	0.4139274	0.3687379	0.4511279
sal	Indo-Pacific	(27.25,27.5]	0.2018396	0.1375795	0.2727395
sal	Indo-Pacific	(27.5,27.75]	-0.1852956	-0.3554709	0.1182205
sal	Indo-Pacific	(27.75,27.85]	-0.2326004	-0.6429802	0.2909940
sal	Indo-Pacific	(27.85,27.95]	-0.1323458	-0.5413481	0.4049712
sal	Indo-Pacific	(27.95,28.05]	-0.1614477	-0.5974883	0.3196193
sal	Indo-Pacific	(28.05,28.1]	-0.0647418	-0.4359252	0.3334571
sal	Indo-Pacific	(28.1, Inf]	0.1434104	-0.0258852	0.3163853
silicate	Atlantic	(-Inf,26]	-0.5835481	-0.6327956	-0.5191196
silicate	Atlantic	(26,26.5]	-0.4213358	-0.5283547	-0.3122513
silicate	Atlantic	(26.5,26.75]	-0.3708190	-0.4852637	-0.2543345
silicate	Atlantic	(26.75,27]	-0.4391956	-0.6233433	-0.2438706
silicate	Atlantic	(27,27.25]	-0.8004777	-0.8530687	-0.7272727
silicate	Atlantic	(27.25,27.5]	-0.8961985	-0.9164948	-0.8743838
silicate	Atlantic	(27.5,27.75]	-0.9185895	-0.9251782	-0.9131435
silicate	Atlantic	(27.75,27.85]	-0.9304916	-0.9376869	-0.9254242
silicate	Atlantic	(27.85,27.95]	-0.9215242	-0.9285565	-0.9158218
silicate	Atlantic	(27.95,28.05]	-0.9009828	-0.9117066	-0.8901505
silicate	Atlantic	(28.05,28.1]	-0.9735446	-0.9768384	-0.9706853
silicate	Atlantic	(28.1,28.15]	-0.9821441	-0.9833291	-0.9808147
silicate	Atlantic	(28.15,28.2]	-0.9591965	-0.9625070	-0.9551720
silicate	Atlantic	(28.2, Inf]	-0.8431410	-0.8566221	-0.8333670
silicate	Indo-Pacific	(-Inf,26]	-0.1004307	-0.2149723	0.0381148
silicate	Indo-Pacific	(26,26.5]	-0.6208187	-0.7220379	-0.4752922
silicate	Indo-Pacific	(26.5,26.75]	-0.7497223	-0.7972259	-0.6827862
silicate	Indo-Pacific	(26.75,27]	-0.7067782	-0.7638194	-0.6380564
silicate	Indo-Pacific	(27,27.25]	-0.6854848	-0.7480311	-0.6037661
silicate	Indo-Pacific	(27.25,27.5]	-0.6142443	-0.7652282	-0.3938714
silicate	Indo-Pacific	(27.5,27.75]	-0.2477545	-0.6654577	0.3568509
silicate	Indo-Pacific	(27.75,27.85]	0.1575682	-0.4195029	0.7949556
silicate	Indo-Pacific	(27.85,27.95]	0.2817062	-0.2057238	0.7945786
silicate	Indo-Pacific	(27.95,28.05]	0.2923637	-0.1444851	0.7421287
silicate	Indo-Pacific	(28.05,28.1]	0.3749245	0.0237637	0.7255871
silicate	Indo-Pacific	(28.1, Inf]	0.5300815	0.3919592	0.6654672
temp	Atlantic	(-Inf,26]	-0.0634146	-0.0852471	-0.0348104
temp	Atlantic	(26,26.5]	-0.2653810	-0.3499016	-0.2023802
temp	Atlantic	(26.5,26.75]	-0.0522247	-0.1198300	0.0446394
temp	Atlantic	(26.75,27]	-0.0165322	-0.1579131	0.1482505
temp	Atlantic	(27,27.25]	0.0775120	-0.1004580	0.2165034
temp	Atlantic	(27.25,27.5]	0.1919462	0.0677827	0.3604664
temp	Atlantic	(27.5,27.75]	-0.0480596	-0.1144047	0.0401268
temp	Atlantic	(27.75,27.85]	0.6099773	0.5685280	0.6429933
temp	Atlantic	(27.85,27.95]	0.7087674	0.6956649	0.7263480
temp	Atlantic	(27.95,28.05]	0.7296558	0.6761462	0.7740691
temp	Atlantic	(28.05,28.1]	0.8711917	0.8563267	0.8898892
temp	Atlantic	(28.1,28.15]	0.9020718	0.9007976	0.9028774
temp	Atlantic	(28.15,28.2]	0.9154726	0.8792958	0.9352937
temp	Atlantic	(28.2, Inf]	0.8903102	0.8807982	0.9007050
temp	Indo-Pacific	(-Inf,26]	-0.4464648	-0.5088929	-0.3708255
temp	Indo-Pacific	(26,26.5]	0.2601671	0.1919498	0.3186794
temp	Indo-Pacific	(26.5,26.75]	0.3918675	0.3741844	0.4174427
temp	Indo-Pacific	(26.75,27]	0.1784789	0.1074144	0.2426148
temp	Indo-Pacific	(27,27.25]	0.3862683	0.3443408	0.4232941
temp	Indo-Pacific	(27.25,27.5]	0.3162038	0.2899140	0.3577832
temp	Indo-Pacific	(27.5,27.75]	0.0524704	-0.1088117	0.3128692
temp	Indo-Pacific	(27.75,27.85]	-0.2179073	-0.6318294	0.3169204
temp	Indo-Pacific	(27.85,27.95]	-0.1719807	-0.5770897	0.3519761
temp	Indo-Pacific	(27.95,28.05]	-0.2236967	-0.6438805	0.2513895
temp	Indo-Pacific	(28.05,28.1]	-0.1374560	-0.5046073	0.2648781
temp	Indo-Pacific	(28.1, Inf]	0.2857058	0.1483330	0.4308144

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

07 February, 2021