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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
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
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
4c28e4a	Donghe-Zhu	2021-01-22
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)[5]

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

}

2.2 Correlation 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
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]	0.8566630	0.8400495	0.8876974
aou + nitrate	Atlantic	(26,26.5]	0.9170520	0.9110515	0.9216364
aou + nitrate	Atlantic	(26.5,26.75]	0.9733858	0.9718730	0.9749248
aou + nitrate	Atlantic	(26.75,27]	0.9829109	0.9806161	0.9844866
aou + nitrate	Atlantic	(27,27.25]	0.9612570	0.9568927	0.9645505
aou + nitrate	Atlantic	(27.25,27.5]	0.8309181	0.8188576	0.8442941
aou + nitrate	Atlantic	(27.5,27.75]	0.5552282	0.5479099	0.5652643
aou + nitrate	Atlantic	(27.75,27.85]	0.3547108	0.3377525	0.3831833
aou + nitrate	Atlantic	(27.85,27.95]	0.5561316	0.4622259	0.6514764
aou + nitrate	Atlantic	(27.95,28.05]	0.1970693	0.1613187	0.2213080
aou + nitrate	Atlantic	(28.05,28.1]	0.4788652	0.4240406	0.5424664
aou + nitrate	Atlantic	(28.1,28.15]	0.8373626	0.8140925	0.8578440
aou + nitrate	Atlantic	(28.15,28.2]	0.9229742	0.9144140	0.9307013
aou + nitrate	Atlantic	(28.2, Inf]	0.8770807	0.8702588	0.8838716
aou + nitrate	Indian	(-Inf,26]	0.9391226	0.9370204	0.9429009
aou + nitrate	Indian	(26,26.5]	0.9182963	0.9113609	0.9241222
aou + nitrate	Indian	(26.5,26.75]	0.9355633	0.9275924	0.9402120
aou + nitrate	Indian	(26.75,27]	0.9352212	0.9287833	0.9413571
aou + nitrate	Indian	(27,27.25]	0.9428910	0.9356294	0.9487543
aou + nitrate	Indian	(27.25,27.5]	0.9559534	0.9523062	0.9582703
aou + nitrate	Indian	(27.5,27.75]	0.9633869	0.9615492	0.9650396
aou + nitrate	Indian	(27.75,27.85]	0.9896725	0.9880318	0.9908023
aou + nitrate	Indian	(27.85,27.95]	0.9840588	0.9823183	0.9864460
aou + nitrate	Indian	(27.95,28.05]	0.9585259	0.9563032	0.9605147
aou + nitrate	Indian	(28.05,28.1]	0.9621380	0.9585795	0.9653920
aou + nitrate	Indian	(28.1, Inf]	0.9464274	0.9430010	0.9515974
aou + nitrate	Pacific	(-Inf,26]	0.9510087	0.9486612	0.9532587
aou + nitrate	Pacific	(26,26.5]	0.8280153	0.8247255	0.8306014
aou + nitrate	Pacific	(26.5,26.75]	0.6819734	0.6688084	0.7017351
aou + nitrate	Pacific	(26.75,27]	0.7473319	0.7396769	0.7558378
aou + nitrate	Pacific	(27,27.25]	0.9121548	0.9080799	0.9158505
aou + nitrate	Pacific	(27.25,27.5]	0.9512982	0.9504668	0.9522320
aou + nitrate	Pacific	(27.5,27.75]	0.9764123	0.9756519	0.9771146
aou + nitrate	Pacific	(27.75,27.85]	0.9944953	0.9938733	0.9950008
aou + nitrate	Pacific	(27.85,27.95]	0.9950937	0.9946619	0.9957205
aou + nitrate	Pacific	(27.95,28.05]	0.9946094	0.9944608	0.9947891
aou + nitrate	Pacific	(28.05,28.1]	0.9959502	0.9958471	0.9960548
aou + nitrate	Pacific	(28.1, Inf]	0.9969974	0.9968583	0.9970819
aou + phosphate	Atlantic	(-Inf,26]	0.9292515	0.9194106	0.9399366
aou + phosphate	Atlantic	(26,26.5]	0.8912726	0.8893331	0.8940324
aou + phosphate	Atlantic	(26.5,26.75]	0.9487873	0.9447682	0.9514802
aou + phosphate	Atlantic	(26.75,27]	0.9633632	0.9601375	0.9656255
aou + phosphate	Atlantic	(27,27.25]	0.9213875	0.9177527	0.9244745
aou + phosphate	Atlantic	(27.25,27.5]	0.7645666	0.7509747	0.7810054
aou + phosphate	Atlantic	(27.5,27.75]	0.4833183	0.4745936	0.4943400
aou + phosphate	Atlantic	(27.75,27.85]	0.2873566	0.2694339	0.3177601
aou + phosphate	Atlantic	(27.85,27.95]	0.5235515	0.4253902	0.6237919
aou + phosphate	Atlantic	(27.95,28.05]	0.1761117	0.1402641	0.2002315
aou + phosphate	Atlantic	(28.05,28.1]	0.4708000	0.4165720	0.5345300
aou + phosphate	Atlantic	(28.1,28.15]	0.8367515	0.8136552	0.8569727
aou + phosphate	Atlantic	(28.15,28.2]	0.9288133	0.9205191	0.9366171
aou + phosphate	Atlantic	(28.2, Inf]	0.8845363	0.8834007	0.8858820
aou + phosphate	Indian	(-Inf,26]	0.9872798	0.9860956	0.9879196
aou + phosphate	Indian	(26,26.5]	0.9854318	0.9850215	0.9857629
aou + phosphate	Indian	(26.5,26.75]	0.9879340	0.9873729	0.9885709
aou + phosphate	Indian	(26.75,27]	0.9834950	0.9831890	0.9839394
aou + phosphate	Indian	(27,27.25]	0.9712417	0.9675993	0.9739017
aou + phosphate	Indian	(27.25,27.5]	0.9697450	0.9672759	0.9714120
aou + phosphate	Indian	(27.5,27.75]	0.9697338	0.9691178	0.9704535
aou + phosphate	Indian	(27.75,27.85]	0.9857899	0.9857296	0.9858433
aou + phosphate	Indian	(27.85,27.95]	0.9804681	0.9782454	0.9840239
aou + phosphate	Indian	(27.95,28.05]	0.9473981	0.9455462	0.9489511
aou + phosphate	Indian	(28.05,28.1]	0.9542830	0.9510940	0.9561998
aou + phosphate	Indian	(28.1, Inf]	0.9311700	0.9278472	0.9361560
aou + phosphate	Pacific	(-Inf,26]	0.9713243	0.9705720	0.9717418
aou + phosphate	Pacific	(26,26.5]	0.9724796	0.9716931	0.9740382
aou + phosphate	Pacific	(26.5,26.75]	0.9733712	0.9717606	0.9742771
aou + phosphate	Pacific	(26.75,27]	0.9652791	0.9643465	0.9663755
aou + phosphate	Pacific	(27,27.25]	0.9902871	0.9901584	0.9904642
aou + phosphate	Pacific	(27.25,27.5]	0.9916452	0.9913204	0.9920194
aou + phosphate	Pacific	(27.5,27.75]	0.9946147	0.9945962	0.9946385
aou + phosphate	Pacific	(27.75,27.85]	0.9974968	0.9974652	0.9975395
aou + phosphate	Pacific	(27.85,27.95]	0.9980450	0.9980061	0.9980697
aou + phosphate	Pacific	(27.95,28.05]	0.9942440	0.9941164	0.9944257
aou + phosphate	Pacific	(28.05,28.1]	0.9962672	0.9961992	0.9963390
aou + phosphate	Pacific	(28.1, Inf]	0.9960884	0.9955583	0.9964933
aou + phosphate_star	Atlantic	(-Inf,26]	0.2394828	0.1624787	0.2829947
aou + phosphate_star	Atlantic	(26,26.5]	0.3976127	0.3542750	0.4281844
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1629442	0.1294478	0.1897935
aou + phosphate_star	Atlantic	(26.75,27]	-0.1156820	-0.1279360	-0.0949271
aou + phosphate_star	Atlantic	(27,27.25]	-0.0387544	-0.0627329	-0.0128964
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.1580372	-0.1734956	-0.1500956
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.3202287	-0.3357029	-0.3084762
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.3525517	-0.3923292	-0.2997408
aou + phosphate_star	Atlantic	(27.85,27.95]	0.1664595	0.0286166	0.3113898
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.2392009	-0.2696142	-0.2176909
aou + phosphate_star	Atlantic	(28.05,28.1]	0.1405614	0.0684256	0.2212936
aou + phosphate_star	Atlantic	(28.1,28.15]	0.6718686	0.6329504	0.7028218
aou + phosphate_star	Atlantic	(28.15,28.2]	0.8289053	0.8148361	0.8421747
aou + phosphate_star	Atlantic	(28.2, Inf]	0.7314839	0.7245233	0.7439888
aou + phosphate_star	Indian	(-Inf,26]	0.8009784	0.7917640	0.8081768
aou + phosphate_star	Indian	(26,26.5]	0.6190031	0.6158489	0.6246320
aou + phosphate_star	Indian	(26.5,26.75]	0.5648878	0.5455783	0.5829632
aou + phosphate_star	Indian	(26.75,27]	0.4410152	0.4172604	0.4665259
aou + phosphate_star	Indian	(27,27.25]	0.1826695	0.1703482	0.1980814
aou + phosphate_star	Indian	(27.25,27.5]	-0.4510102	-0.4991453	-0.4112255
aou + phosphate_star	Indian	(27.5,27.75]	-0.7252175	-0.7423578	-0.7137534
aou + phosphate_star	Indian	(27.75,27.85]	-0.8713190	-0.8739945	-0.8695099
aou + phosphate_star	Indian	(27.85,27.95]	-0.7936466	-0.8060118	-0.7866029
aou + phosphate_star	Indian	(27.95,28.05]	-0.7725650	-0.7988536	-0.7561415
aou + phosphate_star	Indian	(28.05,28.1]	-0.7520696	-0.7933120	-0.7242925
aou + phosphate_star	Indian	(28.1, Inf]	-0.4212135	-0.4635009	-0.3822084
aou + phosphate_star	Pacific	(-Inf,26]	0.6804312	0.6757103	0.6830086
aou + phosphate_star	Pacific	(26,26.5]	0.5414648	0.5339061	0.5495189
aou + phosphate_star	Pacific	(26.5,26.75]	0.3333098	0.3007731	0.3546887
aou + phosphate_star	Pacific	(26.75,27]	0.4737087	0.4514719	0.4901889
aou + phosphate_star	Pacific	(27,27.25]	0.7544808	0.7316104	0.7786168
aou + phosphate_star	Pacific	(27.25,27.5]	0.4722882	0.4015635	0.5215196
aou + phosphate_star	Pacific	(27.5,27.75]	-0.2703050	-0.3679801	-0.1908934
aou + phosphate_star	Pacific	(27.75,27.85]	-0.7513889	-0.7563332	-0.7433263
aou + phosphate_star	Pacific	(27.85,27.95]	-0.6143731	-0.6346765	-0.6039853
aou + phosphate_star	Pacific	(27.95,28.05]	-0.5096537	-0.5358467	-0.4803719
aou + phosphate_star	Pacific	(28.05,28.1]	-0.3169531	-0.3812219	-0.2477474
aou + phosphate_star	Pacific	(28.1, Inf]	0.2800023	0.2751026	0.2884496
aou + silicate	Atlantic	(-Inf,26]	0.1177800	0.0428611	0.1985943
aou + silicate	Atlantic	(26,26.5]	0.2719832	0.2386089	0.2982113
aou + silicate	Atlantic	(26.5,26.75]	0.6146954	0.5880293	0.6407427
aou + silicate	Atlantic	(26.75,27]	0.8057186	0.7988995	0.8151206
aou + silicate	Atlantic	(27,27.25]	0.7493190	0.7441654	0.7544708
aou + silicate	Atlantic	(27.25,27.5]	0.5345390	0.5232626	0.5531612
aou + silicate	Atlantic	(27.5,27.75]	0.2049043	0.1991621	0.2117942
aou + silicate	Atlantic	(27.75,27.85]	-0.0503226	-0.0713663	-0.0292156
aou + silicate	Atlantic	(27.85,27.95]	0.2902323	0.1731313	0.4132160
aou + silicate	Atlantic	(27.95,28.05]	0.1384738	0.1056334	0.1633169
aou + silicate	Atlantic	(28.05,28.1]	0.5162285	0.4742424	0.5701858
aou + silicate	Atlantic	(28.1,28.15]	0.8783083	0.8617460	0.8926386
aou + silicate	Atlantic	(28.15,28.2]	0.9466715	0.9418001	0.9509036
aou + silicate	Atlantic	(28.2, Inf]	0.6734468	0.6526341	0.6989391
aou + silicate	Indian	(-Inf,26]	0.8358731	0.8265064	0.8434582
aou + silicate	Indian	(26,26.5]	0.8822725	0.8797341	0.8862611
aou + silicate	Indian	(26.5,26.75]	0.9311730	0.9244408	0.9403509
aou + silicate	Indian	(26.75,27]	0.9641767	0.9609456	0.9687685
aou + silicate	Indian	(27,27.25]	0.9739843	0.9724881	0.9768197
aou + silicate	Indian	(27.25,27.5]	0.9682825	0.9665698	0.9697746
aou + silicate	Indian	(27.5,27.75]	0.9574477	0.9567245	0.9581475
aou + silicate	Indian	(27.75,27.85]	0.9859356	0.9852189	0.9866072
aou + silicate	Indian	(27.85,27.95]	0.9716448	0.9688696	0.9743382
aou + silicate	Indian	(27.95,28.05]	0.9494517	0.9474535	0.9522555
aou + silicate	Indian	(28.05,28.1]	0.9638277	0.9622369	0.9664392
aou + silicate	Indian	(28.1, Inf]	0.6311575	0.6285592	0.6357166
aou + silicate	Pacific	(-Inf,26]	0.8584697	0.8542266	0.8636508
aou + silicate	Pacific	(26,26.5]	0.7908883	0.7897809	0.7926089
aou + silicate	Pacific	(26.5,26.75]	0.7139667	0.7069079	0.7196051
aou + silicate	Pacific	(26.75,27]	0.8265764	0.8208054	0.8320475
aou + silicate	Pacific	(27,27.25]	0.9448563	0.9442051	0.9454279
aou + silicate	Pacific	(27.25,27.5]	0.9630596	0.9623503	0.9637821
aou + silicate	Pacific	(27.5,27.75]	0.9738121	0.9731586	0.9746072
aou + silicate	Pacific	(27.75,27.85]	0.9888873	0.9884908	0.9895149
aou + silicate	Pacific	(27.85,27.95]	0.9889580	0.9884416	0.9899513
aou + silicate	Pacific	(27.95,28.05]	0.9912736	0.9910671	0.9915808
aou + silicate	Pacific	(28.05,28.1]	0.9933048	0.9931033	0.9935564
aou + silicate	Pacific	(28.1, Inf]	0.8454893	0.8437651	0.8468995
nitrate + phosphate	Atlantic	(-Inf,26]	0.6913320	0.6358544	0.7735436
nitrate + phosphate	Atlantic	(26,26.5]	0.8329157	0.8216064	0.8508597
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9668921	0.9651352	0.9678758
nitrate + phosphate	Atlantic	(26.75,27]	0.9800420	0.9789957	0.9810574
nitrate + phosphate	Atlantic	(27,27.25]	0.9863334	0.9859656	0.9867931
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9912444	0.9910142	0.9914977
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9945081	0.9943694	0.9946066
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9968880	0.9968477	0.9969657
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9987997	0.9986913	0.9989229
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9994197	0.9993947	0.9994373
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9997863	0.9997740	0.9997996
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9998491	0.9998415	0.9998560
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9983882	0.9983039	0.9984844
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9866101	0.9856099	0.9877020
nitrate + phosphate	Indian	(-Inf,26]	0.9306716	0.9280875	0.9350954
nitrate + phosphate	Indian	(26,26.5]	0.9035735	0.8934568	0.9117282
nitrate + phosphate	Indian	(26.5,26.75]	0.9295056	0.9174373	0.9356505
nitrate + phosphate	Indian	(26.75,27]	0.9472867	0.9387841	0.9555475
nitrate + phosphate	Indian	(27,27.25]	0.9778982	0.9757905	0.9799896
nitrate + phosphate	Indian	(27.25,27.5]	0.9858549	0.9843076	0.9866769
nitrate + phosphate	Indian	(27.5,27.75]	0.9928904	0.9905151	0.9943984
nitrate + phosphate	Indian	(27.75,27.85]	0.9961567	0.9936344	0.9976153
nitrate + phosphate	Indian	(27.85,27.95]	0.9972714	0.9969963	0.9978135
nitrate + phosphate	Indian	(27.95,28.05]	0.9970890	0.9969855	0.9971537
nitrate + phosphate	Indian	(28.05,28.1]	0.9978220	0.9976604	0.9979340
nitrate + phosphate	Indian	(28.1, Inf]	0.9894139	0.9889689	0.9899616
nitrate + phosphate	Pacific	(-Inf,26]	0.9731261	0.9708664	0.9751167
nitrate + phosphate	Pacific	(26,26.5]	0.8446777	0.8389720	0.8480866
nitrate + phosphate	Pacific	(26.5,26.75]	0.7104042	0.6958744	0.7334558
nitrate + phosphate	Pacific	(26.75,27]	0.7822940	0.7760155	0.7938086
nitrate + phosphate	Pacific	(27,27.25]	0.9154792	0.9102173	0.9200218
nitrate + phosphate	Pacific	(27.25,27.5]	0.9514372	0.9503530	0.9523042
nitrate + phosphate	Pacific	(27.5,27.75]	0.9782783	0.9776310	0.9791362
nitrate + phosphate	Pacific	(27.75,27.85]	0.9953769	0.9948879	0.9958196
nitrate + phosphate	Pacific	(27.85,27.95]	0.9975452	0.9973279	0.9979289
nitrate + phosphate	Pacific	(27.95,28.05]	0.9996604	0.9996429	0.9996738
nitrate + phosphate	Pacific	(28.05,28.1]	0.9994902	0.9994667	0.9995102
nitrate + phosphate	Pacific	(28.1, Inf]	0.9975508	0.9975257	0.9975745
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1391998	0.0453209	0.2437980
nitrate + phosphate_star	Atlantic	(26,26.5]	0.4147133	0.3635791	0.4528847
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2842813	0.2484607	0.3111819
nitrate + phosphate_star	Atlantic	(26.75,27]	0.0018870	-0.0148950	0.0150087
nitrate + phosphate_star	Atlantic	(27,27.25]	0.2106063	0.1764811	0.2474356
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.4045003	0.3874761	0.4139486
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.5925333	0.5859924	0.5984410
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.7466715	0.7265802	0.7636152
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9088651	0.8973759	0.9216017
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9028467	0.9017683	0.9049274
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9350493	0.9314337	0.9379317
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9665714	0.9640628	0.9680389
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9785881	0.9780231	0.9791768
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9587032	0.9572841	0.9595635
nitrate + phosphate_star	Indian	(-Inf,26]	0.7802650	0.7707955	0.7864065
nitrate + phosphate_star	Indian	(26,26.5]	0.5955613	0.5829002	0.6032637
nitrate + phosphate_star	Indian	(26.5,26.75]	0.5824910	0.5745507	0.5909313
nitrate + phosphate_star	Indian	(26.75,27]	0.5671198	0.5467644	0.5773624
nitrate + phosphate_star	Indian	(27,27.25]	0.4358197	0.4205994	0.4501662
nitrate + phosphate_star	Indian	(27.25,27.5]	-0.2086494	-0.2516548	-0.1683462
nitrate + phosphate_star	Indian	(27.5,27.75]	-0.5272294	-0.5466430	-0.5152951
nitrate + phosphate_star	Indian	(27.75,27.85]	-0.7999492	-0.8034891	-0.7977436
nitrate + phosphate_star	Indian	(27.85,27.95]	-0.6798893	-0.7063499	-0.6644880
nitrate + phosphate_star	Indian	(27.95,28.05]	-0.5635054	-0.6034270	-0.5430164
nitrate + phosphate_star	Indian	(28.05,28.1]	-0.5469425	-0.6090744	-0.5128699
nitrate + phosphate_star	Indian	(28.1, Inf]	-0.1275755	-0.1911576	-0.0730314
nitrate + phosphate_star	Pacific	(-Inf,26]	0.8020405	0.7989947	0.8035724
nitrate + phosphate_star	Pacific	(26,26.5]	0.6383188	0.6298749	0.6501736
nitrate + phosphate_star	Pacific	(26.5,26.75]	0.4843563	0.4792128	0.4877517
nitrate + phosphate_star	Pacific	(26.75,27]	0.6097404	0.5993428	0.6277893
nitrate + phosphate_star	Pacific	(27,27.25]	0.7982878	0.7755848	0.8194701
nitrate + phosphate_star	Pacific	(27.25,27.5]	0.5411511	0.4757247	0.5872261
nitrate + phosphate_star	Pacific	(27.5,27.75]	-0.1790147	-0.2813134	-0.0954721
nitrate + phosphate_star	Pacific	(27.75,27.85]	-0.7212486	-0.7263080	-0.7133335
nitrate + phosphate_star	Pacific	(27.85,27.95]	-0.5673240	-0.5891139	-0.5553892
nitrate + phosphate_star	Pacific	(27.95,28.05]	-0.4233017	-0.4522359	-0.3911402
nitrate + phosphate_star	Pacific	(28.05,28.1]	-0.2370748	-0.3040453	-0.1652060
nitrate + phosphate_star	Pacific	(28.1, Inf]	0.3338246	0.3271609	0.3405999
nitrate + silicate	Atlantic	(-Inf,26]	0.5921507	0.5624675	0.6098511
nitrate + silicate	Atlantic	(26,26.5]	0.5610505	0.5497846	0.5669760
nitrate + silicate	Atlantic	(26.5,26.75]	0.6989596	0.6753673	0.7239189
nitrate + silicate	Atlantic	(26.75,27]	0.8608930	0.8535129	0.8659875
nitrate + silicate	Atlantic	(27,27.25]	0.8800101	0.8780550	0.8820966
nitrate + silicate	Atlantic	(27.25,27.5]	0.8713724	0.8683804	0.8730735
nitrate + silicate	Atlantic	(27.5,27.75]	0.8817783	0.8784194	0.8849732
nitrate + silicate	Atlantic	(27.75,27.85]	0.8613827	0.8604182	0.8632989
nitrate + silicate	Atlantic	(27.85,27.95]	0.9232382	0.9166427	0.9314203
nitrate + silicate	Atlantic	(27.95,28.05]	0.9714387	0.9705597	0.9722333
nitrate + silicate	Atlantic	(28.05,28.1]	0.9835191	0.9825409	0.9843418
nitrate + silicate	Atlantic	(28.1,28.15]	0.9860056	0.9855119	0.9864498
nitrate + silicate	Atlantic	(28.15,28.2]	0.9262125	0.9246027	0.9286829
nitrate + silicate	Atlantic	(28.2, Inf]	0.6475740	0.6443481	0.6502341
nitrate + silicate	Indian	(-Inf,26]	0.8448831	0.8370346	0.8518576
nitrate + silicate	Indian	(26,26.5]	0.8340962	0.8251406	0.8424465
nitrate + silicate	Indian	(26.5,26.75]	0.8802261	0.8708071	0.8887877
nitrate + silicate	Indian	(26.75,27]	0.9066637	0.8960395	0.9153655
nitrate + silicate	Indian	(27,27.25]	0.9576827	0.9546576	0.9603164
nitrate + silicate	Indian	(27.25,27.5]	0.9829944	0.9817530	0.9837528
nitrate + silicate	Indian	(27.5,27.75]	0.9878260	0.9867595	0.9884112
nitrate + silicate	Indian	(27.75,27.85]	0.9928419	0.9908529	0.9940167
nitrate + silicate	Indian	(27.85,27.95]	0.9895446	0.9892515	0.9898504
nitrate + silicate	Indian	(27.95,28.05]	0.9851893	0.9847791	0.9856167
nitrate + silicate	Indian	(28.05,28.1]	0.9854381	0.9832907	0.9873163
nitrate + silicate	Indian	(28.1, Inf]	0.6828594	0.6797326	0.6890961
nitrate + silicate	Pacific	(-Inf,26]	0.8808457	0.8786982	0.8819663
nitrate + silicate	Pacific	(26,26.5]	0.7981685	0.7888972	0.8143495
nitrate + silicate	Pacific	(26.5,26.75]	0.7974099	0.7901675	0.8088958
nitrate + silicate	Pacific	(26.75,27]	0.8496737	0.8458806	0.8538978
nitrate + silicate	Pacific	(27,27.25]	0.9442926	0.9406736	0.9474508
nitrate + silicate	Pacific	(27.25,27.5]	0.9633821	0.9627077	0.9637995
nitrate + silicate	Pacific	(27.5,27.75]	0.9797043	0.9791662	0.9803685
nitrate + silicate	Pacific	(27.75,27.85]	0.9906216	0.9899767	0.9912957
nitrate + silicate	Pacific	(27.85,27.95]	0.9902320	0.9899892	0.9906505
nitrate + silicate	Pacific	(27.95,28.05]	0.9925984	0.9923858	0.9929763
nitrate + silicate	Pacific	(28.05,28.1]	0.9911891	0.9909496	0.9915445
nitrate + silicate	Pacific	(28.1, Inf]	0.8474581	0.8455561	0.8495468
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5250520	0.4582282	0.5774083
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7588389	0.7309221	0.7756182
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4609493	0.4412509	0.4814148
phosphate + phosphate_star	Atlantic	(26.75,27]	0.1488164	0.1327271	0.1605721
phosphate + phosphate_star	Atlantic	(27,27.25]	0.3463175	0.3162404	0.3789905
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.5096226	0.4933008	0.5202769
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.6649111	0.6599274	0.6698035
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.7928840	0.7748347	0.8076772
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9250857	0.9154900	0.9357191
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9124146	0.9112701	0.9144645
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9385407	0.9346131	0.9415133
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9670449	0.9644274	0.9684368
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9765000	0.9757871	0.9771408
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9609148	0.9585296	0.9643142
phosphate + phosphate_star	Indian	(-Inf,26]	0.8819115	0.8784194	0.8858424
phosphate + phosphate_star	Indian	(26,26.5]	0.7403680	0.7366329	0.7449458
phosphate + phosphate_star	Indian	(26.5,26.75]	0.6839492	0.6694947	0.7003503
phosphate + phosphate_star	Indian	(26.75,27]	0.5951154	0.5752624	0.6185161
phosphate + phosphate_star	Indian	(27,27.25]	0.4106327	0.3955969	0.4215239
phosphate + phosphate_star	Indian	(27.25,27.5]	-0.2205818	-0.2636799	-0.1802107
phosphate + phosphate_star	Indian	(27.5,27.75]	-0.5366970	-0.5557414	-0.5250221
phosphate + phosphate_star	Indian	(27.75,27.85]	-0.7781581	-0.7818390	-0.7754795
phosphate + phosphate_star	Indian	(27.85,27.95]	-0.6609045	-0.6898985	-0.6437039
phosphate + phosphate_star	Indian	(27.95,28.05]	-0.5331159	-0.5689578	-0.5150738
phosphate + phosphate_star	Indian	(28.05,28.1]	-0.5252557	-0.5844241	-0.4929635
phosphate + phosphate_star	Indian	(28.1, Inf]	-0.0672958	-0.1280108	-0.0148486
phosphate + phosphate_star	Pacific	(-Inf,26]	0.8170392	0.8154400	0.8181965
phosphate + phosphate_star	Pacific	(26,26.5]	0.7158358	0.7121497	0.7179851
phosphate + phosphate_star	Pacific	(26.5,26.75]	0.5288799	0.5072487	0.5456519
phosphate + phosphate_star	Pacific	(26.75,27]	0.6641793	0.6506437	0.6770627
phosphate + phosphate_star	Pacific	(27,27.25]	0.8299774	0.8116566	0.8494411
phosphate + phosphate_star	Pacific	(27.25,27.5]	0.5771741	0.5125551	0.6237112
phosphate + phosphate_star	Pacific	(27.5,27.75]	-0.1730812	-0.2728917	-0.0923731
phosphate + phosphate_star	Pacific	(27.75,27.85]	-0.7066897	-0.7115503	-0.6982312
phosphate + phosphate_star	Pacific	(27.85,27.95]	-0.5689068	-0.5900458	-0.5582605
phosphate + phosphate_star	Pacific	(27.95,28.05]	-0.4183029	-0.4473207	-0.3863340
phosphate + phosphate_star	Pacific	(28.05,28.1]	-0.2372026	-0.3037758	-0.1657628
phosphate + phosphate_star	Pacific	(28.1, Inf]	0.3582569	0.3488312	0.3652287
sal + aou	Atlantic	(-Inf,26]	-0.4062646	-0.4569132	-0.3689498
sal + aou	Atlantic	(26,26.5]	-0.3776050	-0.4236720	-0.3414765
sal + aou	Atlantic	(26.5,26.75]	0.2610390	0.2482607	0.2831258
sal + aou	Atlantic	(26.75,27]	0.4513904	0.4388865	0.4598370
sal + aou	Atlantic	(27,27.25]	0.3898990	0.3531036	0.4272745
sal + aou	Atlantic	(27.25,27.5]	0.4297204	0.4207392	0.4447274
sal + aou	Atlantic	(27.5,27.75]	0.6826882	0.6744922	0.6957271
sal + aou	Atlantic	(27.75,27.85]	0.6833351	0.6314365	0.7159754
sal + aou	Atlantic	(27.85,27.95]	0.2311877	0.0960043	0.3666390
sal + aou	Atlantic	(27.95,28.05]	0.2158888	0.1931916	0.2453183
sal + aou	Atlantic	(28.05,28.1]	-0.1554728	-0.2272560	-0.0888771
sal + aou	Atlantic	(28.1,28.15]	-0.6713629	-0.6998516	-0.6355779
sal + aou	Atlantic	(28.15,28.2]	-0.7965897	-0.8039091	-0.7836805
sal + aou	Atlantic	(28.2, Inf]	-0.5405990	-0.5637477	-0.5150389
sal + aou	Indian	(-Inf,26]	-0.3030386	-0.3145862	-0.2943976
sal + aou	Indian	(26,26.5]	-0.3255923	-0.3459026	-0.2983566
sal + aou	Indian	(26.5,26.75]	-0.2356948	-0.2926017	-0.2058299
sal + aou	Indian	(26.75,27]	-0.1712942	-0.2155887	-0.1418259
sal + aou	Indian	(27,27.25]	0.0807663	0.0536428	0.0984812
sal + aou	Indian	(27.25,27.5]	0.7747148	0.7467895	0.8020460
sal + aou	Indian	(27.5,27.75]	0.9241186	0.9184662	0.9311000
sal + aou	Indian	(27.75,27.85]	0.9761864	0.9749603	0.9774223
sal + aou	Indian	(27.85,27.95]	0.9753716	0.9738551	0.9772820
sal + aou	Indian	(27.95,28.05]	0.9545014	0.9524772	0.9577109
sal + aou	Indian	(28.05,28.1]	0.9609619	0.9574493	0.9653061
sal + aou	Indian	(28.1, Inf]	0.6918693	0.6781881	0.7062813
sal + aou	Pacific	(-Inf,26]	-0.3729699	-0.3737752	-0.3719307
sal + aou	Pacific	(26,26.5]	-0.2329046	-0.2364552	-0.2258875
sal + aou	Pacific	(26.5,26.75]	0.0259482	0.0157628	0.0312100
sal + aou	Pacific	(26.75,27]	-0.2130883	-0.2192369	-0.2038147
sal + aou	Pacific	(27,27.25]	-0.6474072	-0.6651373	-0.6301329
sal + aou	Pacific	(27.25,27.5]	-0.5039266	-0.5551953	-0.4395593
sal + aou	Pacific	(27.5,27.75]	0.5013041	0.4304350	0.5998861
sal + aou	Pacific	(27.75,27.85]	0.8611072	0.8573238	0.8643213
sal + aou	Pacific	(27.85,27.95]	0.8915799	0.8875294	0.8952010
sal + aou	Pacific	(27.95,28.05]	0.9163769	0.9110995	0.9222543
sal + aou	Pacific	(28.05,28.1]	0.9434865	0.9359487	0.9485137
sal + aou	Pacific	(28.1, Inf]	0.3798208	0.3693376	0.3911165
sal + nitrate	Atlantic	(-Inf,26]	-0.6745164	-0.6845712	-0.6657979
sal + nitrate	Atlantic	(26,26.5]	-0.4262512	-0.4674110	-0.3860388
sal + nitrate	Atlantic	(26.5,26.75]	0.1902400	0.1732906	0.2220760
sal + nitrate	Atlantic	(26.75,27]	0.3985253	0.3924883	0.4104851
sal + nitrate	Atlantic	(27,27.25]	0.2442075	0.1938315	0.2980741
sal + nitrate	Atlantic	(27.25,27.5]	-0.0063061	-0.0563914	0.0541962
sal + nitrate	Atlantic	(27.5,27.75]	0.2213963	0.1839875	0.2693849
sal + nitrate	Atlantic	(27.75,27.85]	-0.3534892	-0.3961882	-0.3204810
sal + nitrate	Atlantic	(27.85,27.95]	-0.6079697	-0.6345310	-0.5946473
sal + nitrate	Atlantic	(27.95,28.05]	-0.8453962	-0.8520500	-0.8364979
sal + nitrate	Atlantic	(28.05,28.1]	-0.9150235	-0.9174325	-0.9137779
sal + nitrate	Atlantic	(28.1,28.15]	-0.9553978	-0.9576818	-0.9540523
sal + nitrate	Atlantic	(28.15,28.2]	-0.9580031	-0.9600778	-0.9553757
sal + nitrate	Atlantic	(28.2, Inf]	-0.7910473	-0.7984536	-0.7832206
sal + nitrate	Indian	(-Inf,26]	-0.3688958	-0.3819840	-0.3588018
sal + nitrate	Indian	(26,26.5]	-0.4115456	-0.4321469	-0.3893358
sal + nitrate	Indian	(26.5,26.75]	-0.3588764	-0.3930602	-0.3305785
sal + nitrate	Indian	(26.75,27]	-0.3907536	-0.4296156	-0.3654930
sal + nitrate	Indian	(27,27.25]	-0.2099541	-0.2204150	-0.1895796
sal + nitrate	Indian	(27.25,27.5]	0.5831088	0.5501814	0.6094881
sal + nitrate	Indian	(27.5,27.75]	0.8008440	0.7942706	0.8113125
sal + nitrate	Indian	(27.75,27.85]	0.9443419	0.9425315	0.9457926
sal + nitrate	Indian	(27.85,27.95]	0.9472744	0.9440762	0.9518299
sal + nitrate	Indian	(27.95,28.05]	0.9016764	0.8929152	0.9149594
sal + nitrate	Indian	(28.05,28.1]	0.9008868	0.8859708	0.9232077
sal + nitrate	Indian	(28.1, Inf]	0.5954760	0.5784905	0.6166612
sal + nitrate	Pacific	(-Inf,26]	-0.4529224	-0.4560344	-0.4504429
sal + nitrate	Pacific	(26,26.5]	-0.4512785	-0.4522420	-0.4506807
sal + nitrate	Pacific	(26.5,26.75]	-0.3194071	-0.3226499	-0.3157104
sal + nitrate	Pacific	(26.75,27]	-0.4386457	-0.4530986	-0.4279062
sal + nitrate	Pacific	(27,27.25]	-0.7613212	-0.7675234	-0.7513511
sal + nitrate	Pacific	(27.25,27.5]	-0.5962535	-0.6464160	-0.5303740
sal + nitrate	Pacific	(27.5,27.75]	0.4468241	0.3786442	0.5422644
sal + nitrate	Pacific	(27.75,27.85]	0.8549117	0.8472424	0.8611229
sal + nitrate	Pacific	(27.85,27.95]	0.8907151	0.8880454	0.8951691
sal + nitrate	Pacific	(27.95,28.05]	0.8944448	0.8882198	0.9011809
sal + nitrate	Pacific	(28.05,28.1]	0.9200658	0.9102649	0.9268099
sal + nitrate	Pacific	(28.1, Inf]	0.3677069	0.3590688	0.3767184
sal + phosphate	Atlantic	(-Inf,26]	-0.2911109	-0.3888854	-0.2351049
sal + phosphate	Atlantic	(26,26.5]	-0.6415071	-0.6619704	-0.6136488
sal + phosphate	Atlantic	(26.5,26.75]	0.0130512	0.0005468	0.0334390
sal + phosphate	Atlantic	(26.75,27]	0.2815793	0.2708340	0.2971710
sal + phosphate	Atlantic	(27,27.25]	0.1089767	0.0560839	0.1651019
sal + phosphate	Atlantic	(27.25,27.5]	-0.1238997	-0.1728969	-0.0617804
sal + phosphate	Atlantic	(27.5,27.75]	0.1264645	0.0886744	0.1740041
sal + phosphate	Atlantic	(27.75,27.85]	-0.4203209	-0.4607403	-0.3887917
sal + phosphate	Atlantic	(27.85,27.95]	-0.6392639	-0.6642959	-0.6243918
sal + phosphate	Atlantic	(27.95,28.05]	-0.8570723	-0.8633370	-0.8481127
sal + phosphate	Atlantic	(28.05,28.1]	-0.9197810	-0.9222922	-0.9181476
sal + phosphate	Atlantic	(28.1,28.15]	-0.9557962	-0.9583677	-0.9543802
sal + phosphate	Atlantic	(28.15,28.2]	-0.9460025	-0.9487662	-0.9428381
sal + phosphate	Atlantic	(28.2, Inf]	-0.6991414	-0.7060614	-0.6950667
sal + phosphate	Indian	(-Inf,26]	-0.3740083	-0.3906862	-0.3652798
sal + phosphate	Indian	(26,26.5]	-0.3930236	-0.4085289	-0.3622073
sal + phosphate	Indian	(26.5,26.75]	-0.3275578	-0.3867402	-0.2938746
sal + phosphate	Indian	(26.75,27]	-0.3195908	-0.3628421	-0.2938536
sal + phosphate	Indian	(27,27.25]	-0.1450145	-0.1614130	-0.1226482
sal + phosphate	Indian	(27.25,27.5]	0.6046058	0.5716934	0.6316743
sal + phosphate	Indian	(27.5,27.75]	0.8129951	0.8056813	0.8222189
sal + phosphate	Indian	(27.75,27.85]	0.9380172	0.9359774	0.9392114
sal + phosphate	Indian	(27.85,27.95]	0.9453797	0.9415637	0.9506690
sal + phosphate	Indian	(27.95,28.05]	0.9011355	0.8936290	0.9127483
sal + phosphate	Indian	(28.05,28.1]	0.9024494	0.8882079	0.9243171
sal + phosphate	Indian	(28.1, Inf]	0.6686950	0.6504002	0.6881072
sal + phosphate	Pacific	(-Inf,26]	-0.4465086	-0.4513784	-0.4420624
sal + phosphate	Pacific	(26,26.5]	-0.3953246	-0.4034150	-0.3835673
sal + phosphate	Pacific	(26.5,26.75]	-0.1331587	-0.1427837	-0.1171901
sal + phosphate	Pacific	(26.75,27]	-0.3141389	-0.3254815	-0.3084351
sal + phosphate	Pacific	(27,27.25]	-0.6832266	-0.6935748	-0.6701310
sal + phosphate	Pacific	(27.25,27.5]	-0.5376043	-0.5940366	-0.4656998
sal + phosphate	Pacific	(27.5,27.75]	0.4607802	0.3910787	0.5578651
sal + phosphate	Pacific	(27.75,27.85]	0.8416210	0.8351134	0.8467949
sal + phosphate	Pacific	(27.85,27.95]	0.8803840	0.8774661	0.8838343
sal + phosphate	Pacific	(27.95,28.05]	0.8934853	0.8872451	0.9003598
sal + phosphate	Pacific	(28.05,28.1]	0.9227655	0.9133500	0.9291846
sal + phosphate	Pacific	(28.1, Inf]	0.4149205	0.4059699	0.4239640
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2430926	-0.3278989	-0.1505424
sal + phosphate_star	Atlantic	(26,26.5]	-0.8757327	-0.8923127	-0.8670023
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7839335	-0.8038140	-0.7735610
sal + phosphate_star	Atlantic	(26.75,27]	-0.7433979	-0.7666103	-0.7264066
sal + phosphate_star	Atlantic	(27,27.25]	-0.7569740	-0.7746242	-0.7327742
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.8238016	-0.8534970	-0.7910246
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5298907	-0.5641172	-0.4935860
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8603089	-0.8704549	-0.8535605
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8603273	-0.8706289	-0.8440294
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.9485600	-0.9536619	-0.9426898
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9800714	-0.9805493	-0.9791847
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9890491	-0.9911631	-0.9867078
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9788088	-0.9807036	-0.9759401
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.7796586	-0.7866398	-0.7676352
sal + phosphate_star	Indian	(-Inf,26]	-0.5896201	-0.6060955	-0.5774062
sal + phosphate_star	Indian	(26,26.5]	-0.6441420	-0.6795711	-0.6176454
sal + phosphate_star	Indian	(26.5,26.75]	-0.7232743	-0.7581480	-0.7005205
sal + phosphate_star	Indian	(26.75,27]	-0.8556238	-0.8643946	-0.8458635
sal + phosphate_star	Indian	(27,27.25]	-0.9179477	-0.9205942	-0.9128418
sal + phosphate_star	Indian	(27.25,27.5]	-0.8932805	-0.8984251	-0.8884511
sal + phosphate_star	Indian	(27.5,27.75]	-0.9127165	-0.9161658	-0.9100048
sal + phosphate_star	Indian	(27.75,27.85]	-0.9316434	-0.9329226	-0.9297801
sal + phosphate_star	Indian	(27.85,27.95]	-0.8249064	-0.8405977	-0.8135342
sal + phosphate_star	Indian	(27.95,28.05]	-0.7694710	-0.7790332	-0.7621516
sal + phosphate_star	Indian	(28.05,28.1]	-0.7864123	-0.7925385	-0.7797440
sal + phosphate_star	Indian	(28.1, Inf]	-0.2562054	-0.2796193	-0.2345369
sal + phosphate_star	Pacific	(-Inf,26]	-0.7144650	-0.7196217	-0.7080657
sal + phosphate_star	Pacific	(26,26.5]	-0.8391293	-0.8472234	-0.8319433
sal + phosphate_star	Pacific	(26.5,26.75]	-0.8163335	-0.8390368	-0.8009719
sal + phosphate_star	Pacific	(26.75,27]	-0.7601305	-0.7902598	-0.7449213
sal + phosphate_star	Pacific	(27,27.25]	-0.8529224	-0.8603057	-0.8462806
sal + phosphate_star	Pacific	(27.25,27.5]	-0.6701768	-0.7181590	-0.5991199
sal + phosphate_star	Pacific	(27.5,27.75]	-0.6381673	-0.6875655	-0.6027195
sal + phosphate_star	Pacific	(27.75,27.85]	-0.8996728	-0.9165855	-0.8896181
sal + phosphate_star	Pacific	(27.85,27.95]	-0.7771299	-0.7909638	-0.7625656
sal + phosphate_star	Pacific	(27.95,28.05]	-0.6731506	-0.6883341	-0.6550034
sal + phosphate_star	Pacific	(28.05,28.1]	-0.5420045	-0.5837554	-0.5018396
sal + phosphate_star	Pacific	(28.1, Inf]	0.3503811	0.3380107	0.3639822
sal + silicate	Atlantic	(-Inf,26]	-0.7666791	-0.7830523	-0.7520002
sal + silicate	Atlantic	(26,26.5]	0.1487404	0.1172642	0.1710247
sal + silicate	Atlantic	(26.5,26.75]	0.3009731	0.2777178	0.3435170
sal + silicate	Atlantic	(26.75,27]	0.2050417	0.1942691	0.2263134
sal + silicate	Atlantic	(27,27.25]	-0.0317965	-0.0844415	0.0293438
sal + silicate	Atlantic	(27.25,27.5]	-0.2705320	-0.3189942	-0.2052475
sal + silicate	Atlantic	(27.5,27.75]	-0.0844472	-0.1314136	-0.0360830
sal + silicate	Atlantic	(27.75,27.85]	-0.6714757	-0.7067732	-0.6395989
sal + silicate	Atlantic	(27.85,27.95]	-0.7944241	-0.8153488	-0.7679733
sal + silicate	Atlantic	(27.95,28.05]	-0.8944690	-0.8983794	-0.8879716
sal + silicate	Atlantic	(28.05,28.1]	-0.9056015	-0.9097075	-0.8980791
sal + silicate	Atlantic	(28.1,28.15]	-0.9216547	-0.9260961	-0.9178318
sal + silicate	Atlantic	(28.15,28.2]	-0.7961999	-0.8044057	-0.7890895
sal + silicate	Atlantic	(28.2, Inf]	-0.1076821	-0.1117152	-0.1022324
sal + silicate	Indian	(-Inf,26]	-0.6067435	-0.6232740	-0.5966586
sal + silicate	Indian	(26,26.5]	-0.4804208	-0.5093304	-0.4497099
sal + silicate	Indian	(26.5,26.75]	-0.3616999	-0.4398121	-0.3030633
sal + silicate	Indian	(26.75,27]	-0.2496696	-0.2949067	-0.2152790
sal + silicate	Indian	(27,27.25]	-0.0688746	-0.0822975	-0.0544737
sal + silicate	Indian	(27.25,27.5]	0.6228481	0.5894075	0.6515619
sal + silicate	Indian	(27.5,27.75]	0.8078856	0.7981527	0.8178237
sal + silicate	Indian	(27.75,27.85]	0.9543599	0.9519059	0.9573006
sal + silicate	Indian	(27.85,27.95]	0.9551505	0.9531429	0.9579591
sal + silicate	Indian	(27.95,28.05]	0.9367955	0.9322096	0.9437252
sal + silicate	Indian	(28.05,28.1]	0.9450226	0.9378607	0.9569233
sal + silicate	Indian	(28.1, Inf]	0.8803014	0.8709261	0.8890575
sal + silicate	Pacific	(-Inf,26]	-0.6625954	-0.6714508	-0.6527219
sal + silicate	Pacific	(26,26.5]	-0.6254367	-0.6310872	-0.6219993
sal + silicate	Pacific	(26.5,26.75]	-0.5352352	-0.5461453	-0.5218219
sal + silicate	Pacific	(26.75,27]	-0.5747756	-0.5814928	-0.5712326
sal + silicate	Pacific	(27,27.25]	-0.7854489	-0.7903526	-0.7777744
sal + silicate	Pacific	(27.25,27.5]	-0.6462629	-0.6918907	-0.5827574
sal + silicate	Pacific	(27.5,27.75]	0.3912076	0.3187655	0.4913725
sal + silicate	Pacific	(27.75,27.85]	0.8307536	0.8235214	0.8359501
sal + silicate	Pacific	(27.85,27.95]	0.8877294	0.8837942	0.8918863
sal + silicate	Pacific	(27.95,28.05]	0.9095833	0.9029631	0.9168155
sal + silicate	Pacific	(28.05,28.1]	0.9357773	0.9280114	0.9406262
sal + silicate	Pacific	(28.1, Inf]	0.7478022	0.7364842	0.7573701
sal + temp	Atlantic	(-Inf,26]	0.6604365	0.6490670	0.6796755
sal + temp	Atlantic	(26,26.5]	0.9581285	0.9550581	0.9602678
sal + temp	Atlantic	(26.5,26.75]	0.9696455	0.9677213	0.9730188
sal + temp	Atlantic	(26.75,27]	0.9722644	0.9697470	0.9739595
sal + temp	Atlantic	(27,27.25]	0.9657251	0.9653764	0.9660299
sal + temp	Atlantic	(27.25,27.5]	0.9738815	0.9727263	0.9750673
sal + temp	Atlantic	(27.5,27.75]	0.9675060	0.9667786	0.9685357
sal + temp	Atlantic	(27.75,27.85]	0.9868502	0.9864795	0.9870834
sal + temp	Atlantic	(27.85,27.95]	0.9808757	0.9764118	0.9833204
sal + temp	Atlantic	(27.95,28.05]	0.9783842	0.9775270	0.9792728
sal + temp	Atlantic	(28.05,28.1]	0.9878533	0.9872414	0.9884037
sal + temp	Atlantic	(28.1,28.15]	0.9852256	0.9849785	0.9855916
sal + temp	Atlantic	(28.15,28.2]	0.9842337	0.9841219	0.9843017
sal + temp	Atlantic	(28.2, Inf]	0.9165717	0.9088456	0.9215384
sal + temp	Indian	(-Inf,26]	0.6196543	0.6187300	0.6212546
sal + temp	Indian	(26,26.5]	0.8486151	0.8422622	0.8607925
sal + temp	Indian	(26.5,26.75]	0.9178814	0.9153672	0.9194698
sal + temp	Indian	(26.75,27]	0.9075209	0.9039851	0.9093357
sal + temp	Indian	(27,27.25]	0.9452397	0.9415637	0.9507303
sal + temp	Indian	(27.25,27.5]	0.9419481	0.9396280	0.9440710
sal + temp	Indian	(27.5,27.75]	0.9249560	0.9238178	0.9261673
sal + temp	Indian	(27.75,27.85]	0.9762421	0.9756045	0.9767084
sal + temp	Indian	(27.85,27.95]	0.9582857	0.9561633	0.9611896
sal + temp	Indian	(27.95,28.05]	0.9371757	0.9334993	0.9406193
sal + temp	Indian	(28.05,28.1]	0.9723864	0.9704291	0.9735223
sal + temp	Indian	(28.1, Inf]	0.6126946	0.6052101	0.6180939
sal + temp	Pacific	(-Inf,26]	0.8376645	0.8348679	0.8408414
sal + temp	Pacific	(26,26.5]	0.9471683	0.9447015	0.9486731
sal + temp	Pacific	(26.5,26.75]	0.9777210	0.9773124	0.9779295
sal + temp	Pacific	(26.75,27]	0.9798853	0.9786426	0.9806513
sal + temp	Pacific	(27,27.25]	0.9704108	0.9694239	0.9717288
sal + temp	Pacific	(27.25,27.5]	0.8918450	0.8855920	0.8955196
sal + temp	Pacific	(27.5,27.75]	0.8138414	0.8073383	0.8240324
sal + temp	Pacific	(27.75,27.85]	0.9741804	0.9710392	0.9773684
sal + temp	Pacific	(27.85,27.95]	0.9503115	0.9484583	0.9523956
sal + temp	Pacific	(27.95,28.05]	0.9543889	0.9535956	0.9549567
sal + temp	Pacific	(28.05,28.1]	0.9822261	0.9810442	0.9836996
sal + temp	Pacific	(28.1, Inf]	0.4448538	0.4257201	0.4638698
silicate + phosphate	Atlantic	(-Inf,26]	-0.1108891	-0.2206780	0.0298299
silicate + phosphate	Atlantic	(26,26.5]	0.0365889	0.0024170	0.0775515
silicate + phosphate	Atlantic	(26.5,26.75]	0.5612932	0.5119232	0.6052302
silicate + phosphate	Atlantic	(26.75,27]	0.8472029	0.8421307	0.8528946
silicate + phosphate	Atlantic	(27,27.25]	0.9079993	0.9050683	0.9103604
silicate + phosphate	Atlantic	(27.25,27.5]	0.9087311	0.9065501	0.9103433
silicate + phosphate	Atlantic	(27.5,27.75]	0.9145860	0.9121076	0.9168095
silicate + phosphate	Atlantic	(27.75,27.85]	0.8956982	0.8945190	0.8974453
silicate + phosphate	Atlantic	(27.85,27.95]	0.9399793	0.9347996	0.9464344
silicate + phosphate	Atlantic	(27.95,28.05]	0.9769601	0.9764080	0.9774905
silicate + phosphate	Atlantic	(28.05,28.1]	0.9857783	0.9850959	0.9864724
silicate + phosphate	Atlantic	(28.1,28.15]	0.9879030	0.9875228	0.9883290
silicate + phosphate	Atlantic	(28.15,28.2]	0.9434590	0.9423331	0.9451416
silicate + phosphate	Atlantic	(28.2, Inf]	0.7602997	0.7531751	0.7665049
silicate + phosphate	Indian	(-Inf,26]	0.8993546	0.8950387	0.9040419
silicate + phosphate	Indian	(26,26.5]	0.9292439	0.9277256	0.9314591
silicate + phosphate	Indian	(26.5,26.75]	0.9573701	0.9533214	0.9610869
silicate + phosphate	Indian	(26.75,27]	0.9723229	0.9713845	0.9736147
silicate + phosphate	Indian	(27,27.25]	0.9855217	0.9847760	0.9867866
silicate + phosphate	Indian	(27.25,27.5]	0.9908036	0.9904764	0.9910952
silicate + phosphate	Indian	(27.5,27.75]	0.9880209	0.9875817	0.9883774
silicate + phosphate	Indian	(27.75,27.85]	0.9921416	0.9912607	0.9931431
silicate + phosphate	Indian	(27.85,27.95]	0.9898086	0.9894634	0.9900752
silicate + phosphate	Indian	(27.95,28.05]	0.9898960	0.9893551	0.9906843
silicate + phosphate	Indian	(28.05,28.1]	0.9898037	0.9881397	0.9917164
silicate + phosphate	Indian	(28.1, Inf]	0.7730160	0.7706433	0.7759432
silicate + phosphate	Pacific	(-Inf,26]	0.9101280	0.9088002	0.9119444
silicate + phosphate	Pacific	(26,26.5]	0.8807693	0.8765456	0.8829247
silicate + phosphate	Pacific	(26.5,26.75]	0.8118791	0.8107702	0.8135975
silicate + phosphate	Pacific	(26.75,27]	0.8915787	0.8908772	0.8922493
silicate + phosphate	Pacific	(27,27.25]	0.9575831	0.9563732	0.9583194
silicate + phosphate	Pacific	(27.25,27.5]	0.9721732	0.9715601	0.9731354
silicate + phosphate	Pacific	(27.5,27.75]	0.9803519	0.9797868	0.9810793
silicate + phosphate	Pacific	(27.75,27.85]	0.9896250	0.9887109	0.9903632
silicate + phosphate	Pacific	(27.85,27.95]	0.9894216	0.9886991	0.9904895
silicate + phosphate	Pacific	(27.95,28.05]	0.9944359	0.9942659	0.9946902
silicate + phosphate	Pacific	(28.05,28.1]	0.9944388	0.9942802	0.9947182
silicate + phosphate	Pacific	(28.1, Inf]	0.8747829	0.8730908	0.8766792
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1622457	-0.2465395	-0.0296334
silicate + phosphate_star	Atlantic	(26,26.5]	-0.2772006	-0.3154765	-0.2309406
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0171249	-0.0689974	0.0738089
silicate + phosphate_star	Atlantic	(26.75,27]	0.1777978	0.1590836	0.1961224
silicate + phosphate_star	Atlantic	(27,27.25]	0.5195742	0.4863158	0.5508853
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.6637930	0.6531089	0.6741270
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8104296	0.8014265	0.8212999
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9062917	0.8887847	0.9202127
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9626592	0.9587300	0.9681482
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9109425	0.9101774	0.9113690
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9071439	0.8982928	0.9130375
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9313512	0.9262375	0.9340488
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.8737381	0.8708278	0.8763922
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.6782217	0.6708205	0.6847330
silicate + phosphate_star	Indian	(-Inf,26]	0.9417425	0.9398457	0.9430374
silicate + phosphate_star	Indian	(26,26.5]	0.8170929	0.8150229	0.8200883
silicate + phosphate_star	Indian	(26.5,26.75]	0.7213300	0.6979724	0.7507889
silicate + phosphate_star	Indian	(26.75,27]	0.5443085	0.5277351	0.5684410
silicate + phosphate_star	Indian	(27,27.25]	0.3437632	0.3335305	0.3490065
silicate + phosphate_star	Indian	(27.25,27.5]	-0.2450463	-0.2899598	-0.2034752
silicate + phosphate_star	Indian	(27.5,27.75]	-0.5254826	-0.5449416	-0.5107927
silicate + phosphate_star	Indian	(27.75,27.85]	-0.8021792	-0.8041534	-0.7995776
silicate + phosphate_star	Indian	(27.85,27.95]	-0.6608203	-0.6869422	-0.6409985
silicate + phosphate_star	Indian	(27.95,28.05]	-0.5669486	-0.5939198	-0.5524463
silicate + phosphate_star	Indian	(28.05,28.1]	-0.5878055	-0.6301522	-0.5626819
silicate + phosphate_star	Indian	(28.1, Inf]	0.1697393	0.1265212	0.2110774
silicate + phosphate_star	Pacific	(-Inf,26]	0.8518455	0.8470084	0.8547351
silicate + phosphate_star	Pacific	(26,26.5]	0.8355373	0.8340255	0.8363166
silicate + phosphate_star	Pacific	(26.5,26.75]	0.7680566	0.7636543	0.7764989
silicate + phosphate_star	Pacific	(26.75,27]	0.7775151	0.7690888	0.7883984
silicate + phosphate_star	Pacific	(27,27.25]	0.8596034	0.8421284	0.8767803
silicate + phosphate_star	Pacific	(27.25,27.5]	0.6076534	0.5469740	0.6502537
silicate + phosphate_star	Pacific	(27.5,27.75]	-0.1324989	-0.2343707	-0.0479694
silicate + phosphate_star	Pacific	(27.75,27.85]	-0.7073264	-0.7150932	-0.6989327
silicate + phosphate_star	Pacific	(27.85,27.95]	-0.5775744	-0.5991123	-0.5654178
silicate + phosphate_star	Pacific	(27.95,28.05]	-0.4438746	-0.4721669	-0.4123167
silicate + phosphate_star	Pacific	(28.05,28.1]	-0.2703471	-0.3341207	-0.2018279
silicate + phosphate_star	Pacific	(28.1, Inf]	0.5290813	0.5168653	0.5388186
temp + aou	Atlantic	(-Inf,26]	-0.6706962	-0.7046934	-0.6397576
temp + aou	Atlantic	(26,26.5]	-0.4223480	-0.4511355	-0.3974631
temp + aou	Atlantic	(26.5,26.75]	0.1502000	0.1340268	0.1704044
temp + aou	Atlantic	(26.75,27]	0.3928294	0.3769225	0.4057523
temp + aou	Atlantic	(27,27.25]	0.3632434	0.3302350	0.3960109
temp + aou	Atlantic	(27.25,27.5]	0.4531016	0.4427140	0.4683424
temp + aou	Atlantic	(27.5,27.75]	0.6681250	0.6615004	0.6784605
temp + aou	Atlantic	(27.75,27.85]	0.6887640	0.6425732	0.7191718
temp + aou	Atlantic	(27.85,27.95]	0.2303808	0.0963479	0.3541226
temp + aou	Atlantic	(27.95,28.05]	0.3264957	0.3045961	0.3551246
temp + aou	Atlantic	(28.05,28.1]	-0.0851063	-0.1594271	-0.0123631
temp + aou	Atlantic	(28.1,28.15]	-0.6079820	-0.6362557	-0.5681850
temp + aou	Atlantic	(28.15,28.2]	-0.7510685	-0.7625419	-0.7361302
temp + aou	Atlantic	(28.2, Inf]	-0.6364416	-0.6461099	-0.6192575
temp + aou	Indian	(-Inf,26]	-0.5029866	-0.5146450	-0.4902885
temp + aou	Indian	(26,26.5]	-0.2738427	-0.3012449	-0.2545606
temp + aou	Indian	(26.5,26.75]	-0.1987882	-0.2400217	-0.1683152
temp + aou	Indian	(26.75,27]	-0.0904332	-0.1224612	-0.0604038
temp + aou	Indian	(27,27.25]	0.0837439	0.0700357	0.1098547
temp + aou	Indian	(27.25,27.5]	0.5741818	0.5445541	0.6070010
temp + aou	Indian	(27.5,27.75]	0.7431927	0.7354444	0.7533528
temp + aou	Indian	(27.75,27.85]	0.9302149	0.9269559	0.9334636
temp + aou	Indian	(27.85,27.95]	0.9271617	0.9253354	0.9290322
temp + aou	Indian	(27.95,28.05]	0.9034845	0.8969399	0.9129803
temp + aou	Indian	(28.05,28.1]	0.9154194	0.9093014	0.9268683
temp + aou	Indian	(28.1, Inf]	0.8619874	0.8550294	0.8725654
temp + aou	Pacific	(-Inf,26]	-0.4798309	-0.4816252	-0.4769663
temp + aou	Pacific	(26,26.5]	-0.3015428	-0.3046932	-0.2998720
temp + aou	Pacific	(26.5,26.75]	0.0272945	0.0163356	0.0362255
temp + aou	Pacific	(26.75,27]	-0.1721970	-0.1780276	-0.1634176
temp + aou	Pacific	(27,27.25]	-0.5964121	-0.6152491	-0.5788557
temp + aou	Pacific	(27.25,27.5]	-0.4132078	-0.4537390	-0.3595225
temp + aou	Pacific	(27.5,27.75]	0.3652891	0.3093730	0.4429012
temp + aou	Pacific	(27.75,27.85]	0.8312853	0.8288735	0.8337890
temp + aou	Pacific	(27.85,27.95]	0.8374293	0.8322053	0.8425833
temp + aou	Pacific	(27.95,28.05]	0.8587413	0.8559839	0.8616396
temp + aou	Pacific	(28.05,28.1]	0.8996647	0.8874889	0.9097762
temp + aou	Pacific	(28.1, Inf]	0.8820289	0.8751905	0.8869835
temp + nitrate	Atlantic	(-Inf,26]	-0.7485724	-0.7713420	-0.7270565
temp + nitrate	Atlantic	(26,26.5]	-0.4667928	-0.4897988	-0.4351283
temp + nitrate	Atlantic	(26.5,26.75]	0.0731254	0.0554299	0.1024870
temp + nitrate	Atlantic	(26.75,27]	0.3227586	0.3138258	0.3335092
temp + nitrate	Atlantic	(27,27.25]	0.2100522	0.1621964	0.2593383
temp + nitrate	Atlantic	(27.25,27.5]	0.0257733	-0.0217392	0.0877727
temp + nitrate	Atlantic	(27.5,27.75]	0.1841386	0.1548319	0.2219550
temp + nitrate	Atlantic	(27.75,27.85]	-0.3593915	-0.3938022	-0.3302558
temp + nitrate	Atlantic	(27.85,27.95]	-0.6288055	-0.6485388	-0.6182598
temp + nitrate	Atlantic	(27.95,28.05]	-0.8135761	-0.8171270	-0.8082993
temp + nitrate	Atlantic	(28.05,28.1]	-0.8822047	-0.8872176	-0.8784062
temp + nitrate	Atlantic	(28.1,28.15]	-0.9222138	-0.9240236	-0.9199647
temp + nitrate	Atlantic	(28.15,28.2]	-0.9346872	-0.9363621	-0.9319542
temp + nitrate	Atlantic	(28.2, Inf]	-0.8773801	-0.8960090	-0.8542084
temp + nitrate	Indian	(-Inf,26]	-0.5471925	-0.5597575	-0.5297328
temp + nitrate	Indian	(26,26.5]	-0.3953705	-0.4163747	-0.3765638
temp + nitrate	Indian	(26.5,26.75]	-0.3369193	-0.3663916	-0.3177289
temp + nitrate	Indian	(26.75,27]	-0.3097289	-0.3382286	-0.2826909
temp + nitrate	Indian	(27,27.25]	-0.2031380	-0.2350577	-0.1738057
temp + nitrate	Indian	(27.25,27.5]	0.3320941	0.3018455	0.3597777
temp + nitrate	Indian	(27.5,27.75]	0.5452730	0.5385174	0.5572417
temp + nitrate	Indian	(27.75,27.85]	0.8776698	0.8732575	0.8806804
temp + nitrate	Indian	(27.85,27.95]	0.8637987	0.8579579	0.8719868
temp + nitrate	Indian	(27.95,28.05]	0.7931041	0.7797834	0.8138206
temp + nitrate	Indian	(28.05,28.1]	0.8166077	0.7965589	0.8476728
temp + nitrate	Indian	(28.1, Inf]	0.7185884	0.6956797	0.7501529
temp + nitrate	Pacific	(-Inf,26]	-0.6038154	-0.6087329	-0.6000599
temp + nitrate	Pacific	(26,26.5]	-0.5207921	-0.5301583	-0.5149801
temp + nitrate	Pacific	(26.5,26.75]	-0.3129170	-0.3169160	-0.3107854
temp + nitrate	Pacific	(26.75,27]	-0.4124539	-0.4262979	-0.4031381
temp + nitrate	Pacific	(27,27.25]	-0.7321256	-0.7379675	-0.7217951
temp + nitrate	Pacific	(27.25,27.5]	-0.5437060	-0.5846320	-0.4877988
temp + nitrate	Pacific	(27.5,27.75]	0.2554948	0.1973736	0.3343672
temp + nitrate	Pacific	(27.75,27.85]	0.8156342	0.8129713	0.8198674
temp + nitrate	Pacific	(27.85,27.95]	0.8202993	0.8160015	0.8263863
temp + nitrate	Pacific	(27.95,28.05]	0.8217290	0.8184626	0.8244605
temp + nitrate	Pacific	(28.05,28.1]	0.8723507	0.8578164	0.8845716
temp + nitrate	Pacific	(28.1, Inf]	0.8629117	0.8542037	0.8692847
temp + phosphate	Atlantic	(-Inf,26]	-0.6888977	-0.7521368	-0.6452803
temp + phosphate	Atlantic	(26,26.5]	-0.6592327	-0.6685501	-0.6407175
temp + phosphate	Atlantic	(26.5,26.75]	-0.0884151	-0.1000796	-0.0685467
temp + phosphate	Atlantic	(26.75,27]	0.2144376	0.2082332	0.2266958
temp + phosphate	Atlantic	(27,27.25]	0.0893949	0.0391779	0.1406970
temp + phosphate	Atlantic	(27.25,27.5]	-0.0847624	-0.1316138	-0.0212447
temp + phosphate	Atlantic	(27.5,27.75]	0.0941057	0.0647368	0.1309799
temp + phosphate	Atlantic	(27.75,27.85]	-0.4246572	-0.4569037	-0.3969581
temp + phosphate	Atlantic	(27.85,27.95]	-0.6589005	-0.6764810	-0.6493754
temp + phosphate	Atlantic	(27.95,28.05]	-0.8265632	-0.8304338	-0.8210796
temp + phosphate	Atlantic	(28.05,28.1]	-0.8866884	-0.8918404	-0.8822770
temp + phosphate	Atlantic	(28.1,28.15]	-0.9227688	-0.9243513	-0.9203422
temp + phosphate	Atlantic	(28.15,28.2]	-0.9269409	-0.9289907	-0.9236192
temp + phosphate	Atlantic	(28.2, Inf]	-0.8308890	-0.8492777	-0.8128560
temp + phosphate	Indian	(-Inf,26]	-0.5489837	-0.5620673	-0.5361667
temp + phosphate	Indian	(26,26.5]	-0.3654982	-0.3902194	-0.3511152
temp + phosphate	Indian	(26.5,26.75]	-0.3035908	-0.3439883	-0.2773939
temp + phosphate	Indian	(26.75,27]	-0.2465102	-0.2780951	-0.2199188
temp + phosphate	Indian	(27,27.25]	-0.1436777	-0.1709411	-0.1134740
temp + phosphate	Indian	(27.25,27.5]	0.3656809	0.3345795	0.3941927
temp + phosphate	Indian	(27.5,27.75]	0.5698440	0.5617358	0.5810552
temp + phosphate	Indian	(27.75,27.85]	0.8702881	0.8662619	0.8736506
temp + phosphate	Indian	(27.85,27.95]	0.8594560	0.8529507	0.8694635
temp + phosphate	Indian	(27.95,28.05]	0.7863994	0.7742651	0.8045331
temp + phosphate	Indian	(28.05,28.1]	0.8167091	0.7970855	0.8470496
temp + phosphate	Indian	(28.1, Inf]	0.6998468	0.6754868	0.7307726
temp + phosphate	Pacific	(-Inf,26]	-0.5825525	-0.5863178	-0.5792905
temp + phosphate	Pacific	(26,26.5]	-0.4723975	-0.4748682	-0.4706484
temp + phosphate	Pacific	(26.5,26.75]	-0.1374026	-0.1449064	-0.1238101
temp + phosphate	Pacific	(26.75,27]	-0.2917186	-0.3025516	-0.2861644
temp + phosphate	Pacific	(27,27.25]	-0.6473623	-0.6575470	-0.6348323
temp + phosphate	Pacific	(27.25,27.5]	-0.4834217	-0.5288063	-0.4237658
temp + phosphate	Pacific	(27.5,27.75]	0.2912366	0.2365039	0.3680486
temp + phosphate	Pacific	(27.75,27.85]	0.8061405	0.8032168	0.8105007
temp + phosphate	Pacific	(27.85,27.95]	0.8178546	0.8131301	0.8230483
temp + phosphate	Pacific	(27.95,28.05]	0.8204638	0.8173801	0.8230933
temp + phosphate	Pacific	(28.05,28.1]	0.8749592	0.8609646	0.8867193
temp + phosphate	Pacific	(28.1, Inf]	0.8705198	0.8599243	0.8785193
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6779711	-0.7302908	-0.6230139
temp + phosphate_star	Atlantic	(26,26.5]	-0.8646134	-0.8784317	-0.8574674
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.8045621	-0.8240155	-0.7911259
temp + phosphate_star	Atlantic	(26.75,27]	-0.7823216	-0.8028899	-0.7713480
temp + phosphate_star	Atlantic	(27,27.25]	-0.7555835	-0.7762358	-0.7316394
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8034838	-0.8353609	-0.7686559
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.5587843	-0.5875648	-0.5311938
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8690431	-0.8748011	-0.8643248
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8826153	-0.8900096	-0.8761503
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.9633930	-0.9648657	-0.9607528
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.9733564	-0.9748886	-0.9712625
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.9779750	-0.9786070	-0.9768462
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9779772	-0.9794525	-0.9754261
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.9086166	-0.9237497	-0.8870265
temp + phosphate_star	Indian	(-Inf,26]	-0.7293000	-0.7323178	-0.7237471
temp + phosphate_star	Indian	(26,26.5]	-0.7334359	-0.7408942	-0.7212392
temp + phosphate_star	Indian	(26.5,26.75]	-0.7729770	-0.7835869	-0.7649311
temp + phosphate_star	Indian	(26.75,27]	-0.8639588	-0.8662758	-0.8607883
temp + phosphate_star	Indian	(27,27.25]	-0.9348175	-0.9407932	-0.9296113
temp + phosphate_star	Indian	(27.25,27.5]	-0.9733802	-0.9758427	-0.9719752
temp + phosphate_star	Indian	(27.5,27.75]	-0.9837610	-0.9844103	-0.9830919
temp + phosphate_star	Indian	(27.75,27.85]	-0.9675810	-0.9679301	-0.9670578
temp + phosphate_star	Indian	(27.85,27.95]	-0.9190359	-0.9266626	-0.9135875
temp + phosphate_star	Indian	(27.95,28.05]	-0.8807208	-0.8848137	-0.8777208
temp + phosphate_star	Indian	(28.05,28.1]	-0.8593655	-0.8638154	-0.8539215
temp + phosphate_star	Indian	(28.1, Inf]	-0.6828613	-0.6881088	-0.6779673
temp + phosphate_star	Pacific	(-Inf,26]	-0.8835899	-0.8857776	-0.8824179
temp + phosphate_star	Pacific	(26,26.5]	-0.9092997	-0.9128010	-0.9068380
temp + phosphate_star	Pacific	(26.5,26.75]	-0.8408830	-0.8620504	-0.8257926
temp + phosphate_star	Pacific	(26.75,27]	-0.7918019	-0.8193353	-0.7769129
temp + phosphate_star	Pacific	(27,27.25]	-0.8827746	-0.8909266	-0.8703332
temp + phosphate_star	Pacific	(27.25,27.5]	-0.8547724	-0.8832566	-0.8117118
temp + phosphate_star	Pacific	(27.5,27.75]	-0.9051271	-0.9259320	-0.8873147
temp + phosphate_star	Pacific	(27.75,27.85]	-0.9399090	-0.9466645	-0.9338863
temp + phosphate_star	Pacific	(27.85,27.95]	-0.8792190	-0.8870288	-0.8722765
temp + phosphate_star	Pacific	(27.95,28.05]	-0.7929875	-0.8134438	-0.7735996
temp + phosphate_star	Pacific	(28.05,28.1]	-0.6045894	-0.6389066	-0.5688342
temp + phosphate_star	Pacific	(28.1, Inf]	0.0109007	-0.0147373	0.0242533
temp + silicate	Atlantic	(-Inf,26]	-0.3651392	-0.3884488	-0.3529087
temp + silicate	Atlantic	(26,26.5]	0.1118548	0.0987413	0.1315408
temp + silicate	Atlantic	(26.5,26.75]	0.2050847	0.1819231	0.2505844
temp + silicate	Atlantic	(26.75,27]	0.1019821	0.0932263	0.1183748
temp + silicate	Atlantic	(27,27.25]	-0.0781814	-0.1264101	-0.0235772
temp + silicate	Atlantic	(27.25,27.5]	-0.2324566	-0.2805431	-0.1650125
temp + silicate	Atlantic	(27.5,27.75]	-0.1267625	-0.1651374	-0.0883813
temp + silicate	Atlantic	(27.75,27.85]	-0.6657131	-0.6950276	-0.6355765
temp + silicate	Atlantic	(27.85,27.95]	-0.8039677	-0.8142140	-0.7907236
temp + silicate	Atlantic	(27.95,28.05]	-0.8594938	-0.8621026	-0.8555638
temp + silicate	Atlantic	(28.05,28.1]	-0.8655830	-0.8728005	-0.8532177
temp + silicate	Atlantic	(28.1,28.15]	-0.8821692	-0.8857513	-0.8761624
temp + silicate	Atlantic	(28.15,28.2]	-0.7813143	-0.7873503	-0.7746203
temp + silicate	Atlantic	(28.2, Inf]	-0.3953665	-0.4063661	-0.3896145
temp + silicate	Indian	(-Inf,26]	-0.5851972	-0.5952177	-0.5769544
temp + silicate	Indian	(26,26.5]	-0.4372341	-0.4496319	-0.4295253
temp + silicate	Indian	(26.5,26.75]	-0.3419804	-0.4038398	-0.2960804
temp + silicate	Indian	(26.75,27]	-0.2035385	-0.2339782	-0.1838913
temp + silicate	Indian	(27,27.25]	-0.0880656	-0.1086159	-0.0647337
temp + silicate	Indian	(27.25,27.5]	0.3777818	0.3460663	0.4071122
temp + silicate	Indian	(27.5,27.75]	0.5516912	0.5414023	0.5627655
temp + silicate	Indian	(27.75,27.85]	0.8858015	0.8818794	0.8912704
temp + silicate	Indian	(27.85,27.95]	0.8566760	0.8493508	0.8633005
temp + silicate	Indian	(27.95,28.05]	0.8210523	0.8119961	0.8342190
temp + silicate	Indian	(28.05,28.1]	0.8737568	0.8618173	0.8924716
temp + silicate	Indian	(28.1, Inf]	0.4237969	0.4034752	0.4432901
temp + silicate	Pacific	(-Inf,26]	-0.6884726	-0.6948442	-0.6802378
temp + silicate	Pacific	(26,26.5]	-0.6522751	-0.6570343	-0.6467253
temp + silicate	Pacific	(26.5,26.75]	-0.5254072	-0.5328939	-0.5129436
temp + silicate	Pacific	(26.75,27]	-0.5506198	-0.5568265	-0.5470633
temp + silicate	Pacific	(27,27.25]	-0.7636266	-0.7688828	-0.7554440
temp + silicate	Pacific	(27.25,27.5]	-0.5892290	-0.6261860	-0.5363004
temp + silicate	Pacific	(27.5,27.75]	0.2131166	0.1540825	0.2922459
temp + silicate	Pacific	(27.75,27.85]	0.7922132	0.7900568	0.7952607
temp + silicate	Pacific	(27.85,27.95]	0.8117954	0.8055032	0.8190811
temp + silicate	Pacific	(27.95,28.05]	0.8370624	0.8332057	0.8402907
temp + silicate	Pacific	(28.05,28.1]	0.8887904	0.8770762	0.8981392
temp + silicate	Pacific	(28.1, Inf]	0.7541375	0.7370115	0.7702472

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
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]	0.3641068	0.3220785	0.4010690
aou	Atlantic	(26,26.5]	0.0006824	-0.1490483	0.1314943
aou	Atlantic	(26.5,26.75]	-0.0062948	-0.1579981	0.1967323
aou	Atlantic	(26.75,27]	-0.0976286	-0.3026430	0.1521067
aou	Atlantic	(27,27.25]	-0.4094155	-0.5437903	-0.2581406
aou	Atlantic	(27.25,27.5]	-0.3058281	-0.4324190	-0.1659721
aou	Atlantic	(27.5,27.75]	-0.1405842	-0.1973962	-0.0792003
aou	Atlantic	(27.75,27.85]	-0.0363833	-0.0798699	-0.0021351
aou	Atlantic	(27.85,27.95]	-0.4960132	-0.5638601	-0.4402603
aou	Atlantic	(27.95,28.05]	-0.1382259	-0.2071309	-0.0948120
aou	Atlantic	(28.05,28.1]	-0.4321401	-0.4473223	-0.4196087
aou	Atlantic	(28.1,28.15]	-0.8149108	-0.8152321	-0.8146366
aou	Atlantic	(28.15,28.2]	-0.9082657	-0.9106662	-0.9044087
aou	Atlantic	(28.2, Inf]	-0.8005904	-0.8103598	-0.7890016
aou	Indian	(-Inf,26]	-0.4188684	-0.5836661	-0.2393419
aou	Indian	(26,26.5]	-0.7210591	-0.8284326	-0.5826151
aou	Indian	(26.5,26.75]	-0.8824679	-0.9263825	-0.8243229
aou	Indian	(26.75,27]	-0.9235316	-0.9517309	-0.8819311
aou	Indian	(27,27.25]	-0.8247056	-0.8929095	-0.7302358
aou	Indian	(27.25,27.5]	-0.6705415	-0.8568789	-0.3842560
aou	Indian	(27.5,27.75]	-0.2942148	-0.7541328	0.3808776
aou	Indian	(27.75,27.85]	-0.2498516	-0.8260573	0.6842574
aou	Indian	(27.85,27.95]	-0.4972092	-0.8119252	0.0378007
aou	Indian	(27.95,28.05]	-0.7969063	-0.8999343	-0.6321648
aou	Indian	(28.05,28.1]	-0.8790303	-0.9429539	-0.7786549
aou	Indian	(28.1, Inf]	-0.5086923	-0.6349026	-0.3474628
aou	Pacific	(-Inf,26]	-0.0374817	-0.1809764	0.0894085
aou	Pacific	(26,26.5]	-0.4271886	-0.5736121	-0.2389185
aou	Pacific	(26.5,26.75]	-0.6612263	-0.7587386	-0.5138183
aou	Pacific	(26.75,27]	-0.6791089	-0.7629254	-0.5699672
aou	Pacific	(27,27.25]	-0.7126022	-0.8100315	-0.5842639
aou	Pacific	(27.25,27.5]	-0.6079817	-0.8040467	-0.3129731
aou	Pacific	(27.5,27.75]	-0.2271942	-0.7167304	0.4640334
aou	Pacific	(27.75,27.85]	-0.0369663	-0.5946523	0.6799840
aou	Pacific	(27.85,27.95]	0.1591686	-0.3270343	0.6780960
aou	Pacific	(27.95,28.05]	0.0548366	-0.3540186	0.5455124
aou	Pacific	(28.05,28.1]	0.2671067	-0.1179578	0.6893849
aou	Pacific	(28.1, Inf]	0.7063979	0.6177694	0.7875492
nitrate	Atlantic	(-Inf,26]	0.0269936	-0.0131800	0.0546032
nitrate	Atlantic	(26,26.5]	-0.2259605	-0.3718580	-0.0932580
nitrate	Atlantic	(26.5,26.75]	-0.1653403	-0.3181858	0.0387210
nitrate	Atlantic	(26.75,27]	-0.2213816	-0.4183202	0.0159495
nitrate	Atlantic	(27,27.25]	-0.6106341	-0.7145395	-0.4928023
nitrate	Atlantic	(27.25,27.5]	-0.7414915	-0.8045254	-0.6657001
nitrate	Atlantic	(27.5,27.75]	-0.8747258	-0.8988562	-0.8462087
nitrate	Atlantic	(27.75,27.85]	-0.9258115	-0.9365958	-0.9113354
nitrate	Atlantic	(27.85,27.95]	-0.9715810	-0.9767093	-0.9645860
nitrate	Atlantic	(27.95,28.05]	-0.9579371	-0.9601390	-0.9553217
nitrate	Atlantic	(28.05,28.1]	-0.9883567	-0.9897697	-0.9869323
nitrate	Atlantic	(28.1,28.15]	-0.9927733	-0.9940200	-0.9919608
nitrate	Atlantic	(28.15,28.2]	-0.9944769	-0.9961191	-0.9918177
nitrate	Atlantic	(28.2, Inf]	-0.9657490	-0.9718004	-0.9585585
nitrate	Indian	(-Inf,26]	-0.3943846	-0.5496679	-0.2299607
nitrate	Indian	(26,26.5]	-0.6144965	-0.7341830	-0.4610009
nitrate	Indian	(26.5,26.75]	-0.8181885	-0.8502443	-0.7589824
nitrate	Indian	(26.75,27]	-0.9118178	-0.9315284	-0.8800434
nitrate	Indian	(27,27.25]	-0.9317478	-0.9666192	-0.8806772
nitrate	Indian	(27.25,27.5]	-0.8206657	-0.9515326	-0.6111806
nitrate	Indian	(27.5,27.75]	-0.4698738	-0.8655764	0.1415854
nitrate	Indian	(27.75,27.85]	-0.2533153	-0.8009548	0.6340918
nitrate	Indian	(27.85,27.95]	-0.4909401	-0.7842816	0.0015175
nitrate	Indian	(27.95,28.05]	-0.7629792	-0.8235501	-0.6672579
nitrate	Indian	(28.05,28.1]	-0.8617505	-0.8777978	-0.8364659
nitrate	Indian	(28.1, Inf]	-0.6599962	-0.7065833	-0.5872263
nitrate	Pacific	(-Inf,26]	-0.0344200	-0.1832491	0.1002818
nitrate	Pacific	(26,26.5]	-0.3408100	-0.4821209	-0.1837504
nitrate	Pacific	(26.5,26.75]	-0.4830686	-0.5905173	-0.3335778
nitrate	Pacific	(26.75,27]	-0.4524157	-0.5009476	-0.3581260
nitrate	Pacific	(27,27.25]	-0.5860466	-0.6906596	-0.4506432
nitrate	Pacific	(27.25,27.5]	-0.5686209	-0.7647102	-0.2747443
nitrate	Pacific	(27.5,27.75]	-0.2247253	-0.7094702	0.4605791
nitrate	Pacific	(27.75,27.85]	-0.0105000	-0.5695468	0.7013006
nitrate	Pacific	(27.85,27.95]	0.1873624	-0.2938464	0.6929291
nitrate	Pacific	(27.95,28.05]	0.1047206	-0.2973721	0.5827324
nitrate	Pacific	(28.05,28.1]	0.3035220	-0.0705862	0.7105923
nitrate	Pacific	(28.1, Inf]	0.7064564	0.6276163	0.7784726
phosphate	Atlantic	(-Inf,26]	0.4402535	0.3629020	0.5016541
phosphate	Atlantic	(26,26.5]	0.0231824	-0.0838596	0.1036402
phosphate	Atlantic	(26.5,26.75]	-0.1495355	-0.2835118	0.0364510
phosphate	Atlantic	(26.75,27]	-0.2481112	-0.4310239	-0.0338118
phosphate	Atlantic	(27,27.25]	-0.6458169	-0.7374433	-0.5386546
phosphate	Atlantic	(27.25,27.5]	-0.7802243	-0.8292070	-0.7188560
phosphate	Atlantic	(27.5,27.75]	-0.8950568	-0.9134885	-0.8730060
phosphate	Atlantic	(27.75,27.85]	-0.9449144	-0.9522141	-0.9344548
phosphate	Atlantic	(27.85,27.95]	-0.9722238	-0.9786287	-0.9633167
phosphate	Atlantic	(27.95,28.05]	-0.9597184	-0.9620782	-0.9558823
phosphate	Atlantic	(28.05,28.1]	-0.9885780	-0.9900367	-0.9867592
phosphate	Atlantic	(28.1,28.15]	-0.9929095	-0.9940464	-0.9921523
phosphate	Atlantic	(28.15,28.2]	-0.9937885	-0.9949452	-0.9924933
phosphate	Atlantic	(28.2, Inf]	-0.9780168	-0.9807725	-0.9762173
phosphate	Indian	(-Inf,26]	-0.5038870	-0.6597548	-0.3380321
phosphate	Indian	(26,26.5]	-0.7940241	-0.8883135	-0.6683598
phosphate	Indian	(26.5,26.75]	-0.9277151	-0.9653232	-0.8764534
phosphate	Indian	(26.75,27]	-0.9681380	-0.9858582	-0.9416150
phosphate	Indian	(27,27.25]	-0.9261623	-0.9649164	-0.8707296
phosphate	Indian	(27.25,27.5]	-0.7987538	-0.9348635	-0.5848112
phosphate	Indian	(27.5,27.75]	-0.4306624	-0.8293723	0.1770735
phosphate	Indian	(27.75,27.85]	-0.2322355	-0.7750241	0.6419179
phosphate	Indian	(27.85,27.95]	-0.4691831	-0.7603903	0.0158525
phosphate	Indian	(27.95,28.05]	-0.7423693	-0.7988474	-0.6515144
phosphate	Indian	(28.05,28.1]	-0.8476296	-0.8619689	-0.8248675
phosphate	Indian	(28.1, Inf]	-0.7058775	-0.7581512	-0.6234462
phosphate	Pacific	(-Inf,26]	-0.0127093	-0.1608780	0.1213706
phosphate	Pacific	(26,26.5]	-0.4696279	-0.6199869	-0.2802720
phosphate	Pacific	(26.5,26.75]	-0.6910400	-0.7828201	-0.5477657
phosphate	Pacific	(26.75,27]	-0.6929310	-0.7581005	-0.5996411
phosphate	Pacific	(27,27.25]	-0.7321751	-0.8209068	-0.6149161
phosphate	Pacific	(27.25,27.5]	-0.6473788	-0.8285336	-0.3733981
phosphate	Pacific	(27.5,27.75]	-0.2360470	-0.7151899	0.4421014
phosphate	Pacific	(27.75,27.85]	-0.0019942	-0.5563511	0.7032146
phosphate	Pacific	(27.85,27.95]	0.1810268	-0.2985099	0.6891354
phosphate	Pacific	(27.95,28.05]	0.1140193	-0.2883984	0.5912506
phosphate	Pacific	(28.05,28.1]	0.3082857	-0.0653706	0.7142811
phosphate	Pacific	(28.1, Inf]	0.6993174	0.6138554	0.7782663
phosphate_star	Atlantic	(-Inf,26]	0.1011514	0.0498067	0.1452297
phosphate_star	Atlantic	(26,26.5]	0.1075981	0.0932518	0.1347536
phosphate_star	Atlantic	(26.5,26.75]	-0.3313220	-0.3536565	-0.3039910
phosphate_star	Atlantic	(26.75,27]	-0.4306697	-0.5390440	-0.3622338
phosphate_star	Atlantic	(27,27.25]	-0.5758978	-0.6523484	-0.4921346
phosphate_star	Atlantic	(27.25,27.5]	-0.7297849	-0.8069404	-0.6481326
phosphate_star	Atlantic	(27.5,27.75]	-0.8019948	-0.8415493	-0.7617142
phosphate_star	Atlantic	(27.75,27.85]	-0.8866319	-0.9281579	-0.8449938
phosphate_star	Atlantic	(27.85,27.95]	-0.8956414	-0.9282086	-0.8570907
phosphate_star	Atlantic	(27.95,28.05]	-0.8792209	-0.9100347	-0.8489023
phosphate_star	Atlantic	(28.05,28.1]	-0.9357280	-0.9587066	-0.9091095
phosphate_star	Atlantic	(28.1,28.15]	-0.9638590	-0.9773642	-0.9492232
phosphate_star	Atlantic	(28.15,28.2]	-0.9770357	-0.9864388	-0.9669520
phosphate_star	Atlantic	(28.2, Inf]	-0.9694754	-0.9788690	-0.9565256
phosphate_star	Indian	(-Inf,26]	-0.5626252	-0.6847794	-0.4468283
phosphate_star	Indian	(26,26.5]	-0.7592999	-0.7930965	-0.7082702
phosphate_star	Indian	(26.5,26.75]	-0.7676018	-0.7837313	-0.7587367
phosphate_star	Indian	(26.75,27]	-0.6978824	-0.7288830	-0.6815094
phosphate_star	Indian	(27,27.25]	-0.6623890	-0.7675832	-0.5887809
phosphate_star	Indian	(27.25,27.5]	-0.2521909	-0.5490620	-0.0502835
phosphate_star	Indian	(27.5,27.75]	-0.2315058	-0.8308426	0.2228264
phosphate_star	Indian	(27.75,27.85]	0.2597102	-0.6776050	0.8264101
phosphate_star	Indian	(27.85,27.95]	0.4662184	-0.0771267	0.7870807
phosphate_star	Indian	(27.95,28.05]	0.6517866	0.3838376	0.8320062
phosphate_star	Indian	(28.05,28.1]	0.6422720	0.3725521	0.8387845
phosphate_star	Indian	(28.1, Inf]	-0.3344276	-0.5902856	-0.0977728
phosphate_star	Pacific	(-Inf,26]	0.2421292	0.1180298	0.3599574
phosphate_star	Pacific	(26,26.5]	-0.2991560	-0.4159133	-0.1686148
phosphate_star	Pacific	(26.5,26.75]	-0.2462765	-0.3047433	-0.1494679
phosphate_star	Pacific	(26.75,27]	-0.1894203	-0.2265631	-0.1335100
phosphate_star	Pacific	(27,27.25]	-0.5094327	-0.5877153	-0.4136219
phosphate_star	Pacific	(27.25,27.5]	-0.5036799	-0.5579711	-0.4252003
phosphate_star	Pacific	(27.5,27.75]	-0.0302256	-0.2860668	0.1313353
phosphate_star	Pacific	(27.75,27.85]	0.4173029	-0.2167693	0.8510386
phosphate_star	Pacific	(27.85,27.95]	0.3095403	-0.1212618	0.6662624
phosphate_star	Pacific	(27.95,28.05]	0.5495878	0.2170975	0.7903068
phosphate_star	Pacific	(28.05,28.1]	0.4878451	0.2151842	0.7072975
phosphate_star	Pacific	(28.1, Inf]	0.2252393	0.1920819	0.2633853
sal	Atlantic	(-Inf,26]	0.6329389	0.6159084	0.6581242
sal	Atlantic	(26,26.5]	-0.0950453	-0.1155099	-0.0586497
sal	Atlantic	(26.5,26.75]	-0.0610730	-0.1616480	0.0515048
sal	Atlantic	(26.75,27]	-0.1176359	-0.2419380	0.0752622
sal	Atlantic	(27,27.25]	-0.0604729	-0.1930877	0.0621034
sal	Atlantic	(27.25,27.5]	0.2428429	0.0815750	0.4002206
sal	Atlantic	(27.5,27.75]	-0.0662468	-0.1726693	0.0397511
sal	Atlantic	(27.75,27.85]	0.5391256	0.4596143	0.6329847
sal	Atlantic	(27.85,27.95]	0.5714413	0.5123516	0.6365731
sal	Atlantic	(27.95,28.05]	0.7692805	0.7226039	0.8143549
sal	Atlantic	(28.05,28.1]	0.8948865	0.8685197	0.9158452
sal	Atlantic	(28.1,28.15]	0.9402902	0.9260166	0.9592370
sal	Atlantic	(28.15,28.2]	0.9465060	0.9260655	0.9639575
sal	Atlantic	(28.2, Inf]	0.6762985	0.6390711	0.7033323
sal	Indian	(-Inf,26]	0.3808084	0.3533526	0.4233328
sal	Indian	(26,26.5]	0.2598481	0.1917956	0.3606502
sal	Indian	(26.5,26.75]	0.3228047	0.2583491	0.4092281
sal	Indian	(26.75,27]	0.4240139	0.3904097	0.4504137
sal	Indian	(27,27.25]	0.4492430	0.3732832	0.5696946
sal	Indian	(27.25,27.5]	-0.1412258	-0.3526210	0.1856904
sal	Indian	(27.5,27.75]	-0.0423844	-0.5272485	0.6342754
sal	Indian	(27.75,27.85]	-0.2774361	-0.8518668	0.6727544
sal	Indian	(27.85,27.95]	-0.4921467	-0.8285616	0.0720593
sal	Indian	(27.95,28.05]	-0.7254318	-0.8607031	-0.5120265
sal	Indian	(28.05,28.1]	-0.8231960	-0.9150308	-0.6840860
sal	Indian	(28.1, Inf]	-0.5031637	-0.7009475	-0.2568017
sal	Pacific	(-Inf,26]	-0.2355689	-0.3122211	-0.1585381
sal	Pacific	(26,26.5]	0.0123513	-0.0740607	0.1030377
sal	Pacific	(26.5,26.75]	-0.2135360	-0.3260297	-0.1408327
sal	Pacific	(26.75,27]	-0.3490155	-0.4419176	-0.2711399
sal	Pacific	(27,27.25]	0.1755943	0.0370195	0.2871346
sal	Pacific	(27.25,27.5]	0.0714026	-0.2034646	0.2745120
sal	Pacific	(27.5,27.75]	-0.3758666	-0.5693630	-0.0081744
sal	Pacific	(27.75,27.85]	-0.3367523	-0.8258723	0.3273757
sal	Pacific	(27.85,27.95]	-0.0757962	-0.5420671	0.4289873
sal	Pacific	(27.95,28.05]	-0.2038151	-0.5890588	0.2829416
sal	Pacific	(28.05,28.1]	0.0401931	-0.3503943	0.4805264
sal	Pacific	(28.1, Inf]	0.2564840	0.0828408	0.4254115
silicate	Atlantic	(-Inf,26]	-0.6235293	-0.6822996	-0.5931277
silicate	Atlantic	(26,26.5]	-0.5093404	-0.5740153	-0.4379810
silicate	Atlantic	(26.5,26.75]	-0.3666501	-0.4750659	-0.2218988
silicate	Atlantic	(26.75,27]	-0.4560659	-0.6294062	-0.2548992
silicate	Atlantic	(27,27.25]	-0.7908733	-0.8530734	-0.7118891
silicate	Atlantic	(27.25,27.5]	-0.8753026	-0.9017861	-0.8384385
silicate	Atlantic	(27.5,27.75]	-0.9171498	-0.9185239	-0.9155889
silicate	Atlantic	(27.75,27.85]	-0.9290193	-0.9410706	-0.9174835
silicate	Atlantic	(27.85,27.95]	-0.9067008	-0.9285901	-0.8796809
silicate	Atlantic	(27.95,28.05]	-0.9174158	-0.9251335	-0.9103238
silicate	Atlantic	(28.05,28.1]	-0.9658083	-0.9681704	-0.9617209
silicate	Atlantic	(28.1,28.15]	-0.9775239	-0.9819129	-0.9730022
silicate	Atlantic	(28.15,28.2]	-0.9265620	-0.9353244	-0.9138045
silicate	Atlantic	(28.2, Inf]	-0.7478464	-0.7758269	-0.7087256
silicate	Indian	(-Inf,26]	-0.6783741	-0.7913473	-0.5615916
silicate	Indian	(26,26.5]	-0.8750140	-0.9373333	-0.7901889
silicate	Indian	(26.5,26.75]	-0.9569553	-0.9743734	-0.9284392
silicate	Indian	(26.75,27]	-0.9533350	-0.9678993	-0.9345734
silicate	Indian	(27,27.25]	-0.8865408	-0.9345355	-0.8185846
silicate	Indian	(27.25,27.5]	-0.7868303	-0.9292403	-0.5635018
silicate	Indian	(27.5,27.75]	-0.4611672	-0.8566749	0.1462790
silicate	Indian	(27.75,27.85]	-0.2904088	-0.8271750	0.5994863
silicate	Indian	(27.85,27.95]	-0.5076982	-0.8036347	-0.0173614
silicate	Indian	(27.95,28.05]	-0.7535625	-0.8209544	-0.6412372
silicate	Indian	(28.05,28.1]	-0.8632789	-0.8879431	-0.8188826
silicate	Indian	(28.1, Inf]	-0.7723605	-0.8599855	-0.6475214
silicate	Pacific	(-Inf,26]	-0.0274872	-0.1675890	0.0974945
silicate	Pacific	(26,26.5]	-0.5858991	-0.7082048	-0.4336666
silicate	Pacific	(26.5,26.75]	-0.5959817	-0.6805875	-0.4595972
silicate	Pacific	(26.75,27]	-0.4626896	-0.5366790	-0.3606123
silicate	Pacific	(27,27.25]	-0.5767660	-0.6820078	-0.4394174
silicate	Pacific	(27.25,27.5]	-0.5248077	-0.7258382	-0.2299713
silicate	Pacific	(27.5,27.75]	-0.1557336	-0.6434548	0.5246675
silicate	Pacific	(27.75,27.85]	0.0283210	-0.5328129	0.7340335
silicate	Pacific	(27.85,27.95]	0.1868171	-0.2990607	0.6972476
silicate	Pacific	(27.95,28.05]	0.0992505	-0.3100532	0.5859892
silicate	Pacific	(28.05,28.1]	0.3054749	-0.0702086	0.7156746
silicate	Pacific	(28.1, Inf]	0.6802792	0.5561036	0.7963235
temp	Atlantic	(-Inf,26]	-0.0491292	-0.0822790	-0.0015824
temp	Atlantic	(26,26.5]	-0.2374342	-0.2596759	-0.1960558
temp	Atlantic	(26.5,26.75]	-0.0741267	-0.1555728	0.0127791
temp	Atlantic	(26.75,27]	-0.0490542	-0.1496181	0.1194733
temp	Atlantic	(27,27.25]	-0.0347625	-0.1491391	0.0724962
temp	Atlantic	(27.25,27.5]	0.2081095	0.0472510	0.3629162
temp	Atlantic	(27.5,27.75]	-0.0282821	-0.1194432	0.0652897
temp	Atlantic	(27.75,27.85]	0.5506288	0.4761536	0.6358221
temp	Atlantic	(27.85,27.95]	0.5969218	0.5410243	0.6536703
temp	Atlantic	(27.95,28.05]	0.7524867	0.7064418	0.7982045
temp	Atlantic	(28.05,28.1]	0.8605036	0.8267967	0.8856737
temp	Atlantic	(28.1,28.15]	0.9034743	0.8846602	0.9237863
temp	Atlantic	(28.15,28.2]	0.9228584	0.9004739	0.9425501
temp	Atlantic	(28.2, Inf]	0.8171427	0.7975944	0.8462547
temp	Indian	(-Inf,26]	-0.0841883	-0.1917440	0.0393080
temp	Indian	(26,26.5]	0.1747094	0.1018555	0.2471275
temp	Indian	(26.5,26.75]	0.2987435	0.2460433	0.3642820
temp	Indian	(26.75,27]	0.3436810	0.3212897	0.3694903
temp	Indian	(27,27.25]	0.4247313	0.3406733	0.5589790
temp	Indian	(27.25,27.5]	0.1385658	-0.0769695	0.4560666
temp	Indian	(27.5,27.75]	0.2549755	-0.1989904	0.8475880
temp	Indian	(27.75,27.85]	-0.2563066	-0.8143725	0.6657142
temp	Indian	(27.85,27.95]	-0.5082891	-0.8193534	0.0272049
temp	Indian	(27.95,28.05]	-0.7652436	-0.8929923	-0.5614878
temp	Indian	(28.05,28.1]	-0.8048947	-0.9188795	-0.6325712
temp	Indian	(28.1, Inf]	-0.2868662	-0.4607588	-0.0762081
temp	Pacific	(-Inf,26]	-0.4981326	-0.5844029	-0.4059618
temp	Pacific	(26,26.5]	-0.0082831	-0.1129718	0.0965413
temp	Pacific	(26.5,26.75]	-0.2226641	-0.3392505	-0.1505349
temp	Pacific	(26.75,27]	-0.3605811	-0.4517662	-0.2857436
temp	Pacific	(27,27.25]	0.1472943	0.0207206	0.2473631
temp	Pacific	(27.25,27.5]	0.2160266	0.0398937	0.3426397
temp	Pacific	(27.5,27.75]	-0.0612509	-0.2387463	0.2159578
temp	Pacific	(27.75,27.85]	-0.3496238	-0.8158138	0.2961911
temp	Pacific	(27.85,27.95]	-0.1718504	-0.6029391	0.3162232
temp	Pacific	(27.95,28.05]	-0.3120220	-0.6834780	0.1613966
temp	Pacific	(28.05,28.1]	-0.0335719	-0.4111893	0.4003433
temp	Pacific	(28.1, Inf]	0.5283060	0.4075198	0.6407325

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

23 January, 2021