Last updated: 2020-12-23

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1 Required data

Required are:

cleaned and prepared GLODAPv2.2020 file

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coeffcients.

2.1 Correlation plots

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

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
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
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 assesment

2.2.1 Calculation of correlation coeffcients

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

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

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

2.2.2 Predictor pairs

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

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

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

Version	Author	Date
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 + oxygen	Atlantic	(-Inf,26]	-0.9408713	-0.9794008	-0.9164270
aou + oxygen	Atlantic	(26,26.5]	-0.9160452	-0.9348602	-0.8986063
aou + oxygen	Atlantic	(26.5,26.75]	-0.9690156	-0.9774962	-0.9585383
aou + oxygen	Atlantic	(26.75,27]	-0.9798355	-0.9832641	-0.9753742
aou + oxygen	Atlantic	(27,27.25]	-0.9774918	-0.9853045	-0.9648161
aou + oxygen	Atlantic	(27.25,27.5]	-0.9682766	-0.9778246	-0.9495095
aou + oxygen	Atlantic	(27.5,27.75]	-0.9355427	-0.9488501	-0.9107326
aou + oxygen	Atlantic	(27.75,27.85]	-0.9046070	-0.9173496	-0.8920846
aou + oxygen	Atlantic	(27.85,27.95]	-0.8903367	-0.9010213	-0.8782080
aou + oxygen	Atlantic	(27.95,28.05]	-0.9090002	-0.9178452	-0.9044895
aou + oxygen	Atlantic	(28.05,28.1]	-0.8999330	-0.9215006	-0.8822967
aou + oxygen	Atlantic	(28.1,28.15]	-0.8907659	-0.9272223	-0.8507771
aou + oxygen	Atlantic	(28.15,28.2]	-0.9745876	-0.9842499	-0.9599894
aou + oxygen	Atlantic	(28.2, Inf]	-0.9457264	-0.9555861	-0.9378399
aou + oxygen	Indian	(-Inf,26]	-0.9919736	-0.9932877	-0.9912799
aou + oxygen	Indian	(26,26.5]	-0.9928278	-0.9948947	-0.9898786
aou + oxygen	Indian	(26.5,26.75]	-0.9927983	-0.9946685	-0.9891446
aou + oxygen	Indian	(26.75,27]	-0.9837564	-0.9910771	-0.9792068
aou + oxygen	Indian	(27,27.25]	-0.9914765	-0.9922557	-0.9902073
aou + oxygen	Indian	(27.25,27.5]	-0.9909222	-0.9922711	-0.9888683
aou + oxygen	Indian	(27.5,27.75]	-0.9894490	-0.9905758	-0.9887390
aou + oxygen	Indian	(27.75,27.85]	-0.9900072	-0.9920016	-0.9863055
aou + oxygen	Indian	(27.85,27.95]	-0.9905806	-0.9912693	-0.9899995
aou + oxygen	Indian	(27.95,28.05]	-0.9908375	-0.9948310	-0.9846411
aou + oxygen	Indian	(28.05,28.1]	-0.9933094	-0.9951972	-0.9923008
aou + oxygen	Indian	(28.1, Inf]	-0.9934691	-0.9950071	-0.9919490
aou + oxygen	Pacific	(-Inf,26]	-0.9407871	-0.9639601	-0.9224357
aou + oxygen	Pacific	(26,26.5]	-0.9770315	-0.9781509	-0.9750352
aou + oxygen	Pacific	(26.5,26.75]	-0.9818936	-0.9837067	-0.9808281
aou + oxygen	Pacific	(26.75,27]	-0.9813355	-0.9866156	-0.9764108
aou + oxygen	Pacific	(27,27.25]	-0.9901444	-0.9907826	-0.9894387
aou + oxygen	Pacific	(27.25,27.5]	-0.9954861	-0.9958003	-0.9951081
aou + oxygen	Pacific	(27.5,27.75]	-0.9947242	-0.9963096	-0.9929693
aou + oxygen	Pacific	(27.75,27.85]	-0.9972472	-0.9978729	-0.9968868
aou + oxygen	Pacific	(27.85,27.95]	-0.9973976	-0.9984362	-0.9967977
aou + oxygen	Pacific	(27.95,28.05]	-0.9977563	-0.9982972	-0.9973768
aou + oxygen	Pacific	(28.05,28.1]	-0.9971309	-0.9978040	-0.9958361
aou + oxygen	Pacific	(28.1, Inf]	-0.9978277	-0.9984509	-0.9973239
aou + phosphate	Atlantic	(-Inf,26]	0.9247756	0.8848955	0.9539348
aou + phosphate	Atlantic	(26,26.5]	0.8810575	0.8551251	0.9078723
aou + phosphate	Atlantic	(26.5,26.75]	0.8818794	0.8705043	0.8989468
aou + phosphate	Atlantic	(26.75,27]	0.8347036	0.8142398	0.8466745
aou + phosphate	Atlantic	(27,27.25]	0.7799616	0.7092755	0.8395429
aou + phosphate	Atlantic	(27.25,27.5]	0.6670035	0.5525134	0.7614051
aou + phosphate	Atlantic	(27.5,27.75]	0.6777936	0.5993478	0.7435858
aou + phosphate	Atlantic	(27.75,27.85]	0.7655365	0.7499654	0.7745749
aou + phosphate	Atlantic	(27.85,27.95]	0.7886039	0.7557819	0.8073930
aou + phosphate	Atlantic	(27.95,28.05]	0.8759036	0.8426087	0.8991105
aou + phosphate	Atlantic	(28.05,28.1]	0.8938673	0.8890308	0.8987077
aou + phosphate	Atlantic	(28.1,28.15]	0.9335406	0.9130736	0.9520796
aou + phosphate	Atlantic	(28.15,28.2]	0.9874271	0.9779859	0.9965659
aou + phosphate	Atlantic	(28.2, Inf]	0.9125752	0.8104710	0.9710392
aou + phosphate	Indian	(-Inf,26]	0.9828329	0.9803574	0.9870928
aou + phosphate	Indian	(26,26.5]	0.9700186	0.9561349	0.9802393
aou + phosphate	Indian	(26.5,26.75]	0.9547603	0.9407953	0.9675474
aou + phosphate	Indian	(26.75,27]	0.8746580	0.8219500	0.9271998
aou + phosphate	Indian	(27,27.25]	0.9102090	0.8957416	0.9270828
aou + phosphate	Indian	(27.25,27.5]	0.9250460	0.9149771	0.9440740
aou + phosphate	Indian	(27.5,27.75]	0.9535609	0.9468642	0.9598122
aou + phosphate	Indian	(27.75,27.85]	0.9761544	0.9600554	0.9900942
aou + phosphate	Indian	(27.85,27.95]	0.9665914	0.9632674	0.9731673
aou + phosphate	Indian	(27.95,28.05]	0.9373547	0.9059261	0.9695330
aou + phosphate	Indian	(28.05,28.1]	0.9413002	0.9281356	0.9571943
aou + phosphate	Indian	(28.1, Inf]	0.8812907	0.8421610	0.9114523
aou + phosphate	Pacific	(-Inf,26]	0.9666711	0.9616178	0.9733794
aou + phosphate	Pacific	(26,26.5]	0.9702424	0.9627446	0.9769566
aou + phosphate	Pacific	(26.5,26.75]	0.9777395	0.9738469	0.9807594
aou + phosphate	Pacific	(26.75,27]	0.9743380	0.9714213	0.9777235
aou + phosphate	Pacific	(27,27.25]	0.9693318	0.9666561	0.9743747
aou + phosphate	Pacific	(27.25,27.5]	0.9732586	0.9555340	0.9873395
aou + phosphate	Pacific	(27.5,27.75]	0.9305968	0.8751241	0.9883725
aou + phosphate	Pacific	(27.75,27.85]	0.9911074	0.9891962	0.9939485
aou + phosphate	Pacific	(27.85,27.95]	0.9912717	0.9887947	0.9949154
aou + phosphate	Pacific	(27.95,28.05]	0.9929982	0.9915045	0.9952520
aou + phosphate	Pacific	(28.05,28.1]	0.9884468	0.9790501	0.9935240
aou + phosphate	Pacific	(28.1, Inf]	0.9688961	0.9604576	0.9743618
aou + phosphate_star	Atlantic	(-Inf,26]	0.5689659	0.3872764	0.6763965
aou + phosphate_star	Atlantic	(26,26.5]	0.5021490	0.4365076	0.5974930
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1625412	0.0514434	0.2211788
aou + phosphate_star	Atlantic	(26.75,27]	-0.1258411	-0.1984918	-0.0826868
aou + phosphate_star	Atlantic	(27,27.25]	-0.0787088	-0.1812134	0.0018696
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.0873373	-0.1260418	-0.0334340
aou + phosphate_star	Atlantic	(27.5,27.75]	0.1564800	0.1068387	0.2035622
aou + phosphate_star	Atlantic	(27.75,27.85]	0.3774351	0.3259625	0.4034348
aou + phosphate_star	Atlantic	(27.85,27.95]	0.4823405	0.4301372	0.5106172
aou + phosphate_star	Atlantic	(27.95,28.05]	0.6386042	0.5698013	0.7060915
aou + phosphate_star	Atlantic	(28.05,28.1]	0.6883621	0.6684510	0.7009681
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7938016	0.7313605	0.8425103
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9647826	0.9375258	0.9895391
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8165850	0.5794124	0.9398927
aou + phosphate_star	Indian	(-Inf,26]	0.7729857	0.7265713	0.8280825
aou + phosphate_star	Indian	(26,26.5]	0.5337119	0.4041934	0.7193712
aou + phosphate_star	Indian	(26.5,26.75]	0.1530558	0.1231974	0.1799506
aou + phosphate_star	Indian	(26.75,27]	-0.1773031	-0.2481302	-0.0445198
aou + phosphate_star	Indian	(27,27.25]	-0.5739205	-0.6738006	-0.5127501
aou + phosphate_star	Indian	(27.25,27.5]	-0.6135040	-0.7869836	-0.5079946
aou + phosphate_star	Indian	(27.5,27.75]	-0.5100502	-0.6714013	-0.3796015
aou + phosphate_star	Indian	(27.75,27.85]	-0.4216951	-0.6198360	-0.2482401
aou + phosphate_star	Indian	(27.85,27.95]	-0.4528167	-0.5889094	-0.3349564
aou + phosphate_star	Indian	(27.95,28.05]	-0.5390337	-0.8092745	-0.3998696
aou + phosphate_star	Indian	(28.05,28.1]	-0.6502101	-0.8539027	-0.4399503
aou + phosphate_star	Indian	(28.1, Inf]	-0.8035921	-0.8726245	-0.6703105
aou + phosphate_star	Pacific	(-Inf,26]	0.7094987	0.6239534	0.7904749
aou + phosphate_star	Pacific	(26,26.5]	0.5420395	0.3996171	0.6859161
aou + phosphate_star	Pacific	(26.5,26.75]	0.4987034	0.4009350	0.6574888
aou + phosphate_star	Pacific	(26.75,27]	0.4504765	0.3883698	0.5220605
aou + phosphate_star	Pacific	(27,27.25]	0.0092141	-0.0610400	0.0561302
aou + phosphate_star	Pacific	(27.25,27.5]	-0.2140549	-0.3833440	-0.0623220
aou + phosphate_star	Pacific	(27.5,27.75]	-0.0049902	-0.3628449	0.3423824
aou + phosphate_star	Pacific	(27.75,27.85]	-0.2195769	-0.2393161	-0.1962397
aou + phosphate_star	Pacific	(27.85,27.95]	-0.1657302	-0.2516987	-0.1027299
aou + phosphate_star	Pacific	(27.95,28.05]	-0.1409921	-0.3285012	-0.0079853
aou + phosphate_star	Pacific	(28.05,28.1]	-0.1157469	-0.3533808	0.0280191
aou + phosphate_star	Pacific	(28.1, Inf]	-0.7379278	-0.7651559	-0.7041770
aou + silicate	Atlantic	(-Inf,26]	0.1939195	0.0079067	0.4391309
aou + silicate	Atlantic	(26,26.5]	0.4827814	0.4528640	0.5271177
aou + silicate	Atlantic	(26.5,26.75]	0.5074353	0.4186111	0.5686194
aou + silicate	Atlantic	(26.75,27]	0.3370360	0.2938309	0.3704474
aou + silicate	Atlantic	(27,27.25]	0.3420070	0.2698024	0.4394608
aou + silicate	Atlantic	(27.25,27.5]	0.2030547	0.1510915	0.2792977
aou + silicate	Atlantic	(27.5,27.75]	0.2787557	0.2625329	0.2883548
aou + silicate	Atlantic	(27.75,27.85]	0.4762163	0.4494379	0.5096782
aou + silicate	Atlantic	(27.85,27.95]	0.5830029	0.5743744	0.5920692
aou + silicate	Atlantic	(27.95,28.05]	0.7416931	0.6937131	0.8062992
aou + silicate	Atlantic	(28.05,28.1]	0.8357578	0.8124969	0.8679369
aou + silicate	Atlantic	(28.1,28.15]	0.8593135	0.8141031	0.8833276
aou + silicate	Atlantic	(28.15,28.2]	0.9153802	0.8722366	0.9473440
aou + silicate	Atlantic	(28.2, Inf]	0.8115266	0.7722985	0.8659876
aou + silicate	Indian	(-Inf,26]	0.8996356	0.8291346	0.9773811
aou + silicate	Indian	(26,26.5]	0.8922406	0.8377585	0.9810776
aou + silicate	Indian	(26.5,26.75]	0.9034978	0.8652026	0.9759442
aou + silicate	Indian	(26.75,27]	0.8245349	0.8105125	0.8385506
aou + silicate	Indian	(27,27.25]	0.8356685	0.8030964	0.8851057
aou + silicate	Indian	(27.25,27.5]	0.8586397	0.8510414	0.8727703
aou + silicate	Indian	(27.5,27.75]	0.8878926	0.8664366	0.9077270
aou + silicate	Indian	(27.75,27.85]	0.9498549	0.9180507	0.9690406
aou + silicate	Indian	(27.85,27.95]	0.9327614	0.9133139	0.9491246
aou + silicate	Indian	(27.95,28.05]	0.8911019	0.8443669	0.9191575
aou + silicate	Indian	(28.05,28.1]	0.8383711	0.7160015	0.9192846
aou + silicate	Indian	(28.1, Inf]	0.6766623	0.5822576	0.7806572
aou + silicate	Pacific	(-Inf,26]	0.8716491	0.8304382	0.9084378
aou + silicate	Pacific	(26,26.5]	0.7926026	0.7346670	0.8518487
aou + silicate	Pacific	(26.5,26.75]	0.7541832	0.7141176	0.8110595
aou + silicate	Pacific	(26.75,27]	0.8561166	0.8411085	0.8824168
aou + silicate	Pacific	(27,27.25]	0.9046021	0.8946511	0.9149369
aou + silicate	Pacific	(27.25,27.5]	0.9207379	0.9098727	0.9324570
aou + silicate	Pacific	(27.5,27.75]	0.8873778	0.8431361	0.9256062
aou + silicate	Pacific	(27.75,27.85]	0.9607508	0.9467847	0.9718527
aou + silicate	Pacific	(27.85,27.95]	0.9489922	0.9437747	0.9526554
aou + silicate	Pacific	(27.95,28.05]	0.8558688	0.8444213	0.8647837
aou + silicate	Pacific	(28.05,28.1]	0.8463696	0.8167415	0.8775671
aou + silicate	Pacific	(28.1, Inf]	0.9106161	0.8895948	0.9327808
oxygen + phosphate	Atlantic	(-Inf,26]	-0.7732680	-0.8880880	-0.6803714
oxygen + phosphate	Atlantic	(26,26.5]	-0.6443968	-0.7296415	-0.5700263
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.7499177	-0.7958028	-0.7109429
oxygen + phosphate	Atlantic	(26.75,27]	-0.7226876	-0.7461740	-0.6859479
oxygen + phosphate	Atlantic	(27,27.25]	-0.6636284	-0.7417477	-0.5520792
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.5037670	-0.6358086	-0.3291543
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.4412409	-0.5527639	-0.3020353
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.4809654	-0.4906489	-0.4675004
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.4764783	-0.5098704	-0.4291421
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.6233629	-0.6744226	-0.5715031
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.6313007	-0.6681633	-0.6061552
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.6910843	-0.7901939	-0.5841663
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9410793	-0.9760780	-0.9001557
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7980690	-0.8841546	-0.6396880
oxygen + phosphate	Indian	(-Inf,26]	-0.9574345	-0.9613256	-0.9499052
oxygen + phosphate	Indian	(26,26.5]	-0.9368773	-0.9561439	-0.9076541
oxygen + phosphate	Indian	(26.5,26.75]	-0.9145428	-0.9397344	-0.8829167
oxygen + phosphate	Indian	(26.75,27]	-0.7760053	-0.8713398	-0.6907647
oxygen + phosphate	Indian	(27,27.25]	-0.8499989	-0.8741555	-0.8260835
oxygen + phosphate	Indian	(27.25,27.5]	-0.8672745	-0.8948378	-0.8475256
oxygen + phosphate	Indian	(27.5,27.75]	-0.9021778	-0.9142317	-0.8926704
oxygen + phosphate	Indian	(27.75,27.85]	-0.9395955	-0.9667485	-0.9029396
oxygen + phosphate	Indian	(27.85,27.95]	-0.9308041	-0.9355278	-0.9267091
oxygen + phosphate	Indian	(27.95,28.05]	-0.9017918	-0.9399904	-0.8379411
oxygen + phosphate	Indian	(28.05,28.1]	-0.9187416	-0.9344569	-0.9022542
oxygen + phosphate	Indian	(28.1, Inf]	-0.8773645	-0.9070725	-0.8568617
oxygen + phosphate	Pacific	(-Inf,26]	-0.8483065	-0.8949873	-0.8140716
oxygen + phosphate	Pacific	(26,26.5]	-0.9069827	-0.9178423	-0.8954101
oxygen + phosphate	Pacific	(26.5,26.75]	-0.9266877	-0.9312712	-0.9183526
oxygen + phosphate	Pacific	(26.75,27]	-0.9232884	-0.9310808	-0.9189676
oxygen + phosphate	Pacific	(27,27.25]	-0.9338667	-0.9412372	-0.9267472
oxygen + phosphate	Pacific	(27.25,27.5]	-0.9569831	-0.9739019	-0.9397425
oxygen + phosphate	Pacific	(27.5,27.75]	-0.9226992	-0.9749174	-0.8735666
oxygen + phosphate	Pacific	(27.75,27.85]	-0.9802345	-0.9865377	-0.9762098
oxygen + phosphate	Pacific	(27.85,27.95]	-0.9808032	-0.9891451	-0.9757230
oxygen + phosphate	Pacific	(27.95,28.05]	-0.9854254	-0.9895702	-0.9828774
oxygen + phosphate	Pacific	(28.05,28.1]	-0.9803881	-0.9899110	-0.9635063
oxygen + phosphate	Pacific	(28.1, Inf]	-0.9714372	-0.9801553	-0.9604150
oxygen + phosphate_star	Atlantic	(-Inf,26]	-0.2982152	-0.4942864	-0.0437704
oxygen + phosphate_star	Atlantic	(26,26.5]	-0.1391463	-0.3025302	-0.0214394
oxygen + phosphate_star	Atlantic	(26.5,26.75]	0.0718470	0.0166176	0.1495770
oxygen + phosphate_star	Atlantic	(26.75,27]	0.3058029	0.2511654	0.3719626
oxygen + phosphate_star	Atlantic	(27,27.25]	0.2526322	0.1641151	0.3235443
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.2931258	0.2149590	0.3802886
oxygen + phosphate_star	Atlantic	(27.5,27.75]	0.1437150	0.0620172	0.2448253
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.0009467	-0.0258215	0.0250296
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.0776591	-0.1159525	-0.0192477
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.2860110	-0.3884376	-0.2000358
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.3238223	-0.3874111	-0.2843018
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.4524306	-0.5996785	-0.2814352
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.8949314	-0.9564684	-0.8212553
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.6624418	-0.8231081	-0.3465778
oxygen + phosphate_star	Indian	(-Inf,26]	-0.6968643	-0.7528032	-0.6365346
oxygen + phosphate_star	Indian	(26,26.5]	-0.4360241	-0.6472632	-0.2748721
oxygen + phosphate_star	Indian	(26.5,26.75]	-0.0393317	-0.0845137	-0.0124838
oxygen + phosphate_star	Indian	(26.75,27]	0.3457148	0.2356403	0.4381782
oxygen + phosphate_star	Indian	(27,27.25]	0.6738250	0.6264228	0.7594361
oxygen + phosphate_star	Indian	(27.25,27.5]	0.7109360	0.6134885	0.8563862
oxygen + phosphate_star	Indian	(27.5,27.75]	0.6250312	0.5122450	0.7703664
oxygen + phosphate_star	Indian	(27.75,27.85]	0.5385736	0.4017900	0.7118490
oxygen + phosphate_star	Indian	(27.85,27.95]	0.5584910	0.4565516	0.6847687
oxygen + phosphate_star	Indian	(27.95,28.05]	0.6234125	0.4951960	0.8341672
oxygen + phosphate_star	Indian	(28.05,28.1]	0.7083866	0.5399567	0.8699920
oxygen + phosphate_star	Indian	(28.1, Inf]	0.8228770	0.7141751	0.8822104
oxygen + phosphate_star	Pacific	(-Inf,26]	-0.4545021	-0.6176697	-0.3014277
oxygen + phosphate_star	Pacific	(26,26.5]	-0.3666614	-0.5276809	-0.2104732
oxygen + phosphate_star	Pacific	(26.5,26.75]	-0.3367617	-0.5074849	-0.2381638
oxygen + phosphate_star	Pacific	(26.75,27]	-0.2865554	-0.3586579	-0.2493502
oxygen + phosphate_star	Pacific	(27,27.25]	0.1158477	0.0765726	0.1860629
oxygen + phosphate_star	Pacific	(27.25,27.5]	0.2844799	0.1208535	0.4540564
oxygen + phosphate_star	Pacific	(27.5,27.75]	0.0441388	-0.3297665	0.4334910
oxygen + phosphate_star	Pacific	(27.75,27.85]	0.2857647	0.2682746	0.2954967
oxygen + phosphate_star	Pacific	(27.85,27.95]	0.2301796	0.1765946	0.3220116
oxygen + phosphate_star	Pacific	(27.95,28.05]	0.1970554	0.0688345	0.3849526
oxygen + phosphate_star	Pacific	(28.05,28.1]	0.1682473	0.0132079	0.3965351
oxygen + phosphate_star	Pacific	(28.1, Inf]	0.7373883	0.7114665	0.7521078
oxygen + silicate	Atlantic	(-Inf,26]	-0.2409015	-0.5101470	0.0298766
oxygen + silicate	Atlantic	(26,26.5]	-0.4531633	-0.5479436	-0.3806530
oxygen + silicate	Atlantic	(26.5,26.75]	-0.3435850	-0.4040867	-0.2672895
oxygen + silicate	Atlantic	(26.75,27]	-0.1783653	-0.2175823	-0.1376067
oxygen + silicate	Atlantic	(27,27.25]	-0.2034779	-0.3072904	-0.1472177
oxygen + silicate	Atlantic	(27.25,27.5]	-0.0231910	-0.1237034	0.0661569
oxygen + silicate	Atlantic	(27.5,27.75]	-0.0162900	-0.0647094	0.0219829
oxygen + silicate	Atlantic	(27.75,27.85]	-0.1501867	-0.1979259	-0.1104248
oxygen + silicate	Atlantic	(27.85,27.95]	-0.2099209	-0.2293672	-0.1836110
oxygen + silicate	Atlantic	(27.95,28.05]	-0.4275095	-0.5251970	-0.3668525
oxygen + silicate	Atlantic	(28.05,28.1]	-0.5546101	-0.6353598	-0.5097649
oxygen + silicate	Atlantic	(28.1,28.15]	-0.6087220	-0.7296363	-0.4437038
oxygen + silicate	Atlantic	(28.15,28.2]	-0.8851616	-0.9423328	-0.8060068
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7411782	-0.8252523	-0.6846860
oxygen + silicate	Indian	(-Inf,26]	-0.8771152	-0.9703739	-0.7971322
oxygen + silicate	Indian	(26,26.5]	-0.8596349	-0.9746889	-0.7981899
oxygen + silicate	Indian	(26.5,26.75]	-0.8637601	-0.9567421	-0.8087258
oxygen + silicate	Indian	(26.75,27]	-0.7195291	-0.7712419	-0.6929444
oxygen + silicate	Indian	(27,27.25]	-0.7647039	-0.8212176	-0.7187414
oxygen + silicate	Indian	(27.25,27.5]	-0.7896169	-0.8139954	-0.7720807
oxygen + silicate	Indian	(27.5,27.75]	-0.8213058	-0.8483641	-0.7989067
oxygen + silicate	Indian	(27.75,27.85]	-0.9061382	-0.9317672	-0.8615992
oxygen + silicate	Indian	(27.85,27.95]	-0.8880077	-0.9085713	-0.8687713
oxygen + silicate	Indian	(27.95,28.05]	-0.8479553	-0.9038639	-0.7921047
oxygen + silicate	Indian	(28.05,28.1]	-0.7986927	-0.8911480	-0.6475305
oxygen + silicate	Indian	(28.1, Inf]	-0.6782210	-0.7800541	-0.5932690
oxygen + silicate	Pacific	(-Inf,26]	-0.7090230	-0.8032076	-0.6168128
oxygen + silicate	Pacific	(26,26.5]	-0.6817989	-0.7553383	-0.6161861
oxygen + silicate	Pacific	(26.5,26.75]	-0.6464062	-0.7142543	-0.5975110
oxygen + silicate	Pacific	(26.75,27]	-0.7683578	-0.8028450	-0.7368816
oxygen + silicate	Pacific	(27,27.25]	-0.8518155	-0.8629135	-0.8439423
oxygen + silicate	Pacific	(27.25,27.5]	-0.8875325	-0.9000799	-0.8749460
oxygen + silicate	Pacific	(27.5,27.75]	-0.8736734	-0.8978002	-0.8457143
oxygen + silicate	Pacific	(27.75,27.85]	-0.9434359	-0.9566991	-0.9277197
oxygen + silicate	Pacific	(27.85,27.95]	-0.9307787	-0.9327159	-0.9284531
oxygen + silicate	Pacific	(27.95,28.05]	-0.8359196	-0.8447534	-0.8252520
oxygen + silicate	Pacific	(28.05,28.1]	-0.8386718	-0.8673603	-0.8084160
oxygen + silicate	Pacific	(28.1, Inf]	-0.9150005	-0.9414361	-0.8883449
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.8283195	0.7619452	0.8844496
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8452448	0.8295519	0.8725241
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.6012879	0.4797097	0.6673104
phosphate + phosphate_star	Atlantic	(26.75,27]	0.4350963	0.3547240	0.4935682
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5487832	0.4529190	0.6535770
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.6710340	0.6171306	0.7481571
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.8219642	0.7974529	0.8503394
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8769773	0.8622475	0.8849485
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9133867	0.9113297	0.9152612
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9270987	0.9183355	0.9423381
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9379755	0.9286891	0.9447663
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9564198	0.9432329	0.9642955
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9930139	0.9877758	0.9970389
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9769678	0.9426973	0.9951387
phosphate + phosphate_star	Indian	(-Inf,26]	0.8738472	0.8456920	0.9053693
phosphate + phosphate_star	Indian	(26,26.5]	0.7191330	0.6530406	0.8421426
phosphate + phosphate_star	Indian	(26.5,26.75]	0.4364954	0.4088686	0.4805152
phosphate + phosphate_star	Indian	(26.75,27]	0.3107395	0.1405677	0.4443613
phosphate + phosphate_star	Indian	(27,27.25]	-0.1870915	-0.3023670	-0.0782015
phosphate + phosphate_star	Indian	(27.25,27.5]	-0.2776740	-0.4720777	-0.1644887
phosphate + phosphate_star	Indian	(27.5,27.75]	-0.2337932	-0.4003100	-0.0858193
phosphate + phosphate_star	Indian	(27.75,27.85]	-0.2273122	-0.5085721	0.0307596
phosphate + phosphate_star	Indian	(27.85,27.95]	-0.2200191	-0.3607283	-0.1128285
phosphate + phosphate_star	Indian	(27.95,28.05]	-0.2435429	-0.5673986	0.0058204
phosphate + phosphate_star	Indian	(28.05,28.1]	-0.3823314	-0.6374010	-0.1656634
phosphate + phosphate_star	Indian	(28.1, Inf]	-0.4566338	-0.6020108	-0.2726344
phosphate + phosphate_star	Pacific	(-Inf,26]	0.8553284	0.7991364	0.9036298
phosphate + phosphate_star	Pacific	(26,26.5]	0.7206153	0.6012751	0.8215100
phosphate + phosphate_star	Pacific	(26.5,26.75]	0.6627525	0.5756384	0.7879361
phosphate + phosphate_star	Pacific	(26.75,27]	0.6315175	0.5873858	0.6961443
phosphate + phosphate_star	Pacific	(27,27.25]	0.2460165	0.1567192	0.3036192
phosphate + phosphate_star	Pacific	(27.25,27.5]	-0.0010581	-0.2399830	0.2258060
phosphate + phosphate_star	Pacific	(27.5,27.75]	0.2972599	-0.2220499	0.7475526
phosphate + phosphate_star	Pacific	(27.75,27.85]	-0.0919132	-0.1352871	-0.0530124
phosphate + phosphate_star	Pacific	(27.85,27.95]	-0.0392295	-0.1068512	0.0348016
phosphate + phosphate_star	Pacific	(27.95,28.05]	-0.0301703	-0.2134181	0.1161677
phosphate + phosphate_star	Pacific	(28.05,28.1]	0.0183798	-0.2484073	0.1749430
phosphate + phosphate_star	Pacific	(28.1, Inf]	-0.5573578	-0.6065404	-0.4875441
sal + aou	Atlantic	(-Inf,26]	-0.4820878	-0.6156337	-0.2923931
sal + aou	Atlantic	(26,26.5]	-0.4350098	-0.5852949	-0.3403281
sal + aou	Atlantic	(26.5,26.75]	-0.0534460	-0.1620897	0.1174234
sal + aou	Atlantic	(26.75,27]	0.3395923	0.2764284	0.3780677
sal + aou	Atlantic	(27,27.25]	0.5012354	0.3739513	0.6231775
sal + aou	Atlantic	(27.25,27.5]	0.4381510	0.3510694	0.4964511
sal + aou	Atlantic	(27.5,27.75]	0.3924296	0.3198757	0.4516803
sal + aou	Atlantic	(27.75,27.85]	0.5434949	0.4293538	0.6873045
sal + aou	Atlantic	(27.85,27.95]	0.3832972	0.2898406	0.4457815
sal + aou	Atlantic	(27.95,28.05]	0.0030247	-0.0365285	0.0603083
sal + aou	Atlantic	(28.05,28.1]	-0.2806406	-0.3826011	-0.1031897
sal + aou	Atlantic	(28.1,28.15]	-0.2959423	-0.4168735	-0.1671996
sal + aou	Atlantic	(28.15,28.2]	-0.8300661	-0.9712319	-0.6219798
sal + aou	Atlantic	(28.2, Inf]	0.2050402	-0.0662388	0.3979818
sal + aou	Indian	(-Inf,26]	-0.7082485	-0.8875488	-0.4770307
sal + aou	Indian	(26,26.5]	-0.5747737	-0.8716459	-0.2387598
sal + aou	Indian	(26.5,26.75]	-0.2907645	-0.5102733	-0.0787747
sal + aou	Indian	(26.75,27]	0.1504795	0.0515137	0.2887129
sal + aou	Indian	(27,27.25]	0.6277465	0.5920879	0.6650410
sal + aou	Indian	(27.25,27.5]	0.7741059	0.6817207	0.8814486
sal + aou	Indian	(27.5,27.75]	0.8086625	0.6782622	0.9003139
sal + aou	Indian	(27.75,27.85]	0.8219717	0.6291783	0.9624380
sal + aou	Indian	(27.85,27.95]	0.8341421	0.6987272	0.9314512
sal + aou	Indian	(27.95,28.05]	0.8633571	0.7781838	0.9227778
sal + aou	Indian	(28.05,28.1]	0.8884763	0.8524526	0.9121266
sal + aou	Indian	(28.1, Inf]	0.8502825	0.7998298	0.9077018
sal + aou	Pacific	(-Inf,26]	-0.3485369	-0.3920621	-0.2865082
sal + aou	Pacific	(26,26.5]	-0.2432318	-0.4711622	-0.0402260
sal + aou	Pacific	(26.5,26.75]	-0.1607782	-0.4059739	-0.0065821
sal + aou	Pacific	(26.75,27]	-0.3000086	-0.3950633	-0.2449432
sal + aou	Pacific	(27,27.25]	-0.3683908	-0.4300712	-0.3154125
sal + aou	Pacific	(27.25,27.5]	-0.2008223	-0.3138563	-0.0907440
sal + aou	Pacific	(27.5,27.75]	0.2498954	0.1472159	0.4437472
sal + aou	Pacific	(27.75,27.85]	0.4982760	0.4341231	0.5577141
sal + aou	Pacific	(27.85,27.95]	0.6496539	0.5956189	0.7155165
sal + aou	Pacific	(27.95,28.05]	0.6167244	0.5990383	0.6336324
sal + aou	Pacific	(28.05,28.1]	0.6449429	0.6114905	0.6834142
sal + aou	Pacific	(28.1, Inf]	0.8419171	0.8024080	0.9126484
sal + oxygen	Atlantic	(-Inf,26]	0.2516446	-0.0440039	0.4469027
sal + oxygen	Atlantic	(26,26.5]	0.0664678	-0.0821392	0.2885921
sal + oxygen	Atlantic	(26.5,26.75]	-0.1733856	-0.3081485	-0.0623111
sal + oxygen	Atlantic	(26.75,27]	-0.5069026	-0.5391588	-0.4644187
sal + oxygen	Atlantic	(27,27.25]	-0.6502800	-0.7334395	-0.5815662
sal + oxygen	Atlantic	(27.25,27.5]	-0.6236400	-0.6492872	-0.6045138
sal + oxygen	Atlantic	(27.5,27.75]	-0.6527337	-0.7428408	-0.5731844
sal + oxygen	Atlantic	(27.75,27.85]	-0.8077280	-0.8876995	-0.7466704
sal + oxygen	Atlantic	(27.85,27.95]	-0.6499541	-0.6868071	-0.5990474
sal + oxygen	Atlantic	(27.95,28.05]	-0.2817461	-0.3087107	-0.2390715
sal + oxygen	Atlantic	(28.05,28.1]	-0.0743614	-0.1840798	-0.0007798
sal + oxygen	Atlantic	(28.1,28.15]	-0.0678001	-0.2752941	0.1187525
sal + oxygen	Atlantic	(28.15,28.2]	0.7449123	0.5420734	0.9230792
sal + oxygen	Atlantic	(28.2, Inf]	-0.3150342	-0.4021779	-0.1555412
sal + oxygen	Indian	(-Inf,26]	0.6810983	0.4231053	0.8909376
sal + oxygen	Indian	(26,26.5]	0.5070599	0.1781691	0.8293058
sal + oxygen	Indian	(26.5,26.75]	0.1925415	0.0044920	0.4232782
sal + oxygen	Indian	(26.75,27]	-0.3059113	-0.3744581	-0.2373193
sal + oxygen	Indian	(27,27.25]	-0.6960316	-0.7488573	-0.6143324
sal + oxygen	Indian	(27.25,27.5]	-0.8231981	-0.9292445	-0.6980264
sal + oxygen	Indian	(27.5,27.75]	-0.8373490	-0.9443544	-0.6653766
sal + oxygen	Indian	(27.75,27.85]	-0.8124808	-0.9593921	-0.5779597
sal + oxygen	Indian	(27.85,27.95]	-0.8229461	-0.9210883	-0.6586378
sal + oxygen	Indian	(27.95,28.05]	-0.8781356	-0.9107406	-0.8262940
sal + oxygen	Indian	(28.05,28.1]	-0.8835797	-0.9076266	-0.8618869
sal + oxygen	Indian	(28.1, Inf]	-0.8625719	-0.9041405	-0.8296930
sal + oxygen	Pacific	(-Inf,26]	0.0919144	-0.0481281	0.2113793
sal + oxygen	Pacific	(26,26.5]	0.0698975	-0.1431828	0.3081558
sal + oxygen	Pacific	(26.5,26.75]	-0.0022153	-0.1577744	0.2449283
sal + oxygen	Pacific	(26.75,27]	0.1369181	0.0604738	0.2356460
sal + oxygen	Pacific	(27,27.25]	0.2608540	0.1981864	0.3198236
sal + oxygen	Pacific	(27.25,27.5]	0.1473042	0.0493423	0.2569602
sal + oxygen	Pacific	(27.5,27.75]	-0.2794993	-0.4770495	-0.1773851
sal + oxygen	Pacific	(27.75,27.85]	-0.5060995	-0.5442039	-0.4462309
sal + oxygen	Pacific	(27.85,27.95]	-0.6428401	-0.7002116	-0.5917541
sal + oxygen	Pacific	(27.95,28.05]	-0.5957778	-0.6153998	-0.5712994
sal + oxygen	Pacific	(28.05,28.1]	-0.6276067	-0.6780339	-0.5736721
sal + oxygen	Pacific	(28.1, Inf]	-0.8403755	-0.9167046	-0.7967597
sal + phosphate	Atlantic	(-Inf,26]	-0.5858006	-0.6469555	-0.5206913
sal + phosphate	Atlantic	(26,26.5]	-0.7355004	-0.7897925	-0.6931442
sal + phosphate	Atlantic	(26.5,26.75]	-0.4742324	-0.5740229	-0.2929939
sal + phosphate	Atlantic	(26.75,27]	-0.1870826	-0.2797760	-0.1362634
sal + phosphate	Atlantic	(27,27.25]	-0.0004164	-0.2029470	0.1236731
sal + phosphate	Atlantic	(27.25,27.5]	-0.1821734	-0.3423714	-0.0642452
sal + phosphate	Atlantic	(27.5,27.75]	-0.1159387	-0.1266981	-0.1064103
sal + phosphate	Atlantic	(27.75,27.85]	0.1299839	0.0177043	0.2526980
sal + phosphate	Atlantic	(27.85,27.95]	0.1071896	0.0807261	0.1331830
sal + phosphate	Atlantic	(27.95,28.05]	-0.1760581	-0.2284363	-0.1306732
sal + phosphate	Atlantic	(28.05,28.1]	-0.5054400	-0.6328798	-0.3196134
sal + phosphate	Atlantic	(28.1,28.15]	-0.4489800	-0.5288770	-0.3661660
sal + phosphate	Atlantic	(28.15,28.2]	-0.8367213	-0.9651708	-0.6351441
sal + phosphate	Atlantic	(28.2, Inf]	0.1022015	-0.3380895	0.3586864
sal + phosphate	Indian	(-Inf,26]	-0.7713904	-0.9021986	-0.5848584
sal + phosphate	Indian	(26,26.5]	-0.6935845	-0.9416480	-0.3442087
sal + phosphate	Indian	(26.5,26.75]	-0.5164407	-0.7356129	-0.2377102
sal + phosphate	Indian	(26.75,27]	-0.2994013	-0.4720500	0.0041711
sal + phosphate	Indian	(27,27.25]	0.3149865	0.2191397	0.4321744
sal + phosphate	Indian	(27.25,27.5]	0.5412295	0.4378371	0.6202292
sal + phosphate	Indian	(27.5,27.75]	0.6764012	0.6415650	0.7186190
sal + phosphate	Indian	(27.75,27.85]	0.7859394	0.6580309	0.9331672
sal + phosphate	Indian	(27.85,27.95]	0.7727492	0.7155569	0.8702961
sal + phosphate	Indian	(27.95,28.05]	0.7141037	0.5136190	0.8247906
sal + phosphate	Indian	(28.05,28.1]	0.7916758	0.7613378	0.8184213
sal + phosphate	Indian	(28.1, Inf]	0.7968392	0.6776926	0.8600972
sal + phosphate	Pacific	(-Inf,26]	-0.4248428	-0.4449637	-0.3907496
sal + phosphate	Pacific	(26,26.5]	-0.3594484	-0.5671715	-0.1918716
sal + phosphate	Pacific	(26.5,26.75]	-0.2782076	-0.5039903	-0.1320800
sal + phosphate	Pacific	(26.75,27]	-0.3816184	-0.4819561	-0.2931607
sal + phosphate	Pacific	(27,27.25]	-0.4203255	-0.5005024	-0.3736880
sal + phosphate	Pacific	(27.25,27.5]	-0.1395826	-0.2983633	0.0720917
sal + phosphate	Pacific	(27.5,27.75]	0.4725454	0.1864705	0.7967864
sal + phosphate	Pacific	(27.75,27.85]	0.5021676	0.4402301	0.5927666
sal + phosphate	Pacific	(27.85,27.95]	0.6573949	0.6122862	0.7246163
sal + phosphate	Pacific	(27.95,28.05]	0.6310763	0.6165960	0.6475182
sal + phosphate	Pacific	(28.05,28.1]	0.6868525	0.6505288	0.7140594
sal + phosphate	Pacific	(28.1, Inf]	0.8488618	0.8048441	0.9341398
sal + phosphate_star	Atlantic	(-Inf,26]	-0.6671041	-0.7486907	-0.5856316
sal + phosphate_star	Atlantic	(26,26.5]	-0.9098177	-0.9361653	-0.8946448
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9334604	-0.9477356	-0.9248950
sal + phosphate_star	Atlantic	(26.75,27]	-0.9186512	-0.9313755	-0.9020262
sal + phosphate_star	Atlantic	(27,27.25]	-0.7314296	-0.7622531	-0.6832665
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.7404101	-0.7601128	-0.7104130
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5437134	-0.5604544	-0.5182861
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.2950133	-0.3733197	-0.2252199
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.1795771	-0.1938619	-0.1601346
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.3501324	-0.4302134	-0.3030098
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.6477164	-0.7733844	-0.4771211
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.5861262	-0.6392684	-0.5455657
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.8455900	-0.9690339	-0.6513225
sal + phosphate_star	Atlantic	(28.2, Inf]	0.0360835	-0.4801128	0.3419033
sal + phosphate_star	Indian	(-Inf,26]	-0.7779173	-0.7958375	-0.7577595
sal + phosphate_star	Indian	(26,26.5]	-0.7966198	-0.9238038	-0.5720347
sal + phosphate_star	Indian	(26.5,26.75]	-0.8412651	-0.9467642	-0.6808417
sal + phosphate_star	Indian	(26.75,27]	-0.9041279	-0.9836167	-0.7476441
sal + phosphate_star	Indian	(27,27.25]	-0.8426876	-0.9916357	-0.5571502
sal + phosphate_star	Indian	(27.25,27.5]	-0.8188035	-0.9760032	-0.5326041
sal + phosphate_star	Indian	(27.5,27.75]	-0.6681135	-0.9034518	-0.2563163
sal + phosphate_star	Indian	(27.75,27.85]	-0.4340054	-0.6925866	0.0579233
sal + phosphate_star	Indian	(27.85,27.95]	-0.4471872	-0.6928468	-0.0503983
sal + phosphate_star	Indian	(27.95,28.05]	-0.6855666	-0.7890141	-0.5452567
sal + phosphate_star	Indian	(28.05,28.1]	-0.6644195	-0.7736468	-0.5321482
sal + phosphate_star	Indian	(28.1, Inf]	-0.6785071	-0.7529293	-0.6299437
sal + phosphate_star	Pacific	(-Inf,26]	-0.6282287	-0.6913432	-0.5706539
sal + phosphate_star	Pacific	(26,26.5]	-0.6972000	-0.7710664	-0.6008923
sal + phosphate_star	Pacific	(26.5,26.75]	-0.7154955	-0.7735171	-0.6331405
sal + phosphate_star	Pacific	(26.75,27]	-0.6751746	-0.7866133	-0.5234223
sal + phosphate_star	Pacific	(27,27.25]	-0.4642532	-0.5456594	-0.3298934
sal + phosphate_star	Pacific	(27.25,27.5]	0.0239789	-0.1755477	0.3499185
sal + phosphate_star	Pacific	(27.5,27.75]	0.5094337	-0.0513493	0.8945028
sal + phosphate_star	Pacific	(27.75,27.85]	-0.0916853	-0.3273228	0.1656849
sal + phosphate_star	Pacific	(27.85,27.95]	-0.0039707	-0.0515856	0.0793667
sal + phosphate_star	Pacific	(27.95,28.05]	0.1256201	-0.0201185	0.3266621
sal + phosphate_star	Pacific	(28.05,28.1]	0.2270478	-0.0905676	0.4781591
sal + phosphate_star	Pacific	(28.1, Inf]	-0.5269821	-0.5710154	-0.4669133
sal + silicate	Atlantic	(-Inf,26]	-0.3725278	-0.5817554	-0.1567577
sal + silicate	Atlantic	(26,26.5]	-0.1010711	-0.1835710	-0.0044244
sal + silicate	Atlantic	(26.5,26.75]	-0.5062332	-0.5988897	-0.4466437
sal + silicate	Atlantic	(26.75,27]	-0.6159316	-0.6185540	-0.6143369
sal + silicate	Atlantic	(27,27.25]	-0.3691862	-0.4236580	-0.3094468
sal + silicate	Atlantic	(27.25,27.5]	-0.4944082	-0.5306797	-0.4393488
sal + silicate	Atlantic	(27.5,27.75]	-0.3601831	-0.4142192	-0.2971750
sal + silicate	Atlantic	(27.75,27.85]	-0.1128930	-0.2096745	-0.0055753
sal + silicate	Atlantic	(27.85,27.95]	-0.1119093	-0.1275504	-0.0900718
sal + silicate	Atlantic	(27.95,28.05]	-0.2931125	-0.3689582	-0.2432413
sal + silicate	Atlantic	(28.05,28.1]	-0.4946789	-0.5949101	-0.3327888
sal + silicate	Atlantic	(28.1,28.15]	-0.4416739	-0.4638361	-0.4170916
sal + silicate	Atlantic	(28.15,28.2]	-0.7207908	-0.8747820	-0.5628781
sal + silicate	Atlantic	(28.2, Inf]	0.1533223	-0.1678885	0.3973070
sal + silicate	Indian	(-Inf,26]	-0.8695689	-0.9120503	-0.8005866
sal + silicate	Indian	(26,26.5]	-0.7321537	-0.9058329	-0.5083471
sal + silicate	Indian	(26.5,26.75]	-0.4987323	-0.6177438	-0.3682160
sal + silicate	Indian	(26.75,27]	-0.3288513	-0.4457738	-0.1220955
sal + silicate	Indian	(27,27.25]	0.2012199	0.1236847	0.2657452
sal + silicate	Indian	(27.25,27.5]	0.4482973	0.3811072	0.5437104
sal + silicate	Indian	(27.5,27.75]	0.5767636	0.4701944	0.6434752
sal + silicate	Indian	(27.75,27.85]	0.7428088	0.5131913	0.9319336
sal + silicate	Indian	(27.85,27.95]	0.7608660	0.6063145	0.9071481
sal + silicate	Indian	(27.95,28.05]	0.7801133	0.6442339	0.9142756
sal + silicate	Indian	(28.05,28.1]	0.8420287	0.7201389	0.9388283
sal + silicate	Indian	(28.1, Inf]	0.8345346	0.7840715	0.8631524
sal + silicate	Pacific	(-Inf,26]	-0.5839631	-0.6133363	-0.5409520
sal + silicate	Pacific	(26,26.5]	-0.5385079	-0.6733639	-0.4705129
sal + silicate	Pacific	(26.5,26.75]	-0.5420688	-0.6570234	-0.4350759
sal + silicate	Pacific	(26.75,27]	-0.5521730	-0.5935692	-0.5027071
sal + silicate	Pacific	(27,27.25]	-0.5011008	-0.5443309	-0.4585767
sal + silicate	Pacific	(27.25,27.5]	-0.2755587	-0.3747793	-0.1167984
sal + silicate	Pacific	(27.5,27.75]	0.4325393	0.1200736	0.7691544
sal + silicate	Pacific	(27.75,27.85]	0.5275622	0.4560052	0.6444912
sal + silicate	Pacific	(27.85,27.95]	0.7155560	0.6505905	0.8172177
sal + silicate	Pacific	(27.95,28.05]	0.8003165	0.7490157	0.8557861
sal + silicate	Pacific	(28.05,28.1]	0.8347486	0.7149223	0.8987139
sal + silicate	Pacific	(28.1, Inf]	0.9258150	0.8931997	0.9677802
sal + temp	Atlantic	(-Inf,26]	0.7505956	0.6032336	0.8532303
sal + temp	Atlantic	(26,26.5]	0.9376507	0.9360516	0.9399814
sal + temp	Atlantic	(26.5,26.75]	0.9242099	0.9087760	0.9475261
sal + temp	Atlantic	(26.75,27]	0.9354704	0.9172780	0.9450690
sal + temp	Atlantic	(27,27.25]	0.9046128	0.8742524	0.9305217
sal + temp	Atlantic	(27.25,27.5]	0.9191653	0.8888882	0.9401618
sal + temp	Atlantic	(27.5,27.75]	0.8944166	0.8858784	0.8989430
sal + temp	Atlantic	(27.75,27.85]	0.8332462	0.8290050	0.8394834
sal + temp	Atlantic	(27.85,27.95]	0.6890551	0.6663291	0.7119323
sal + temp	Atlantic	(27.95,28.05]	0.6187420	0.5492493	0.6878980
sal + temp	Atlantic	(28.05,28.1]	0.7570292	0.6497860	0.8317068
sal + temp	Atlantic	(28.1,28.15]	0.7553921	0.7191865	0.7860245
sal + temp	Atlantic	(28.15,28.2]	0.8526561	0.6630433	0.9746525
sal + temp	Atlantic	(28.2, Inf]	0.0397178	-0.3596448	0.6007466
sal + temp	Indian	(-Inf,26]	0.5152858	0.4404487	0.5698912
sal + temp	Indian	(26,26.5]	0.6844822	0.5049949	0.7768108
sal + temp	Indian	(26.5,26.75]	0.7817704	0.6584511	0.9044586
sal + temp	Indian	(26.75,27]	0.8673373	0.6773403	0.9654340
sal + temp	Indian	(27,27.25]	0.7976031	0.4391533	0.9771462
sal + temp	Indian	(27.25,27.5]	0.7876021	0.4423621	0.9674689
sal + temp	Indian	(27.5,27.75]	0.6374775	0.1679240	0.8800768
sal + temp	Indian	(27.75,27.85]	0.4270204	-0.1024248	0.7104638
sal + temp	Indian	(27.85,27.95]	0.4726138	0.0879757	0.6662541
sal + temp	Indian	(27.95,28.05]	0.6969218	0.6835828	0.7147732
sal + temp	Indian	(28.05,28.1]	0.6686938	0.6063821	0.7183820
sal + temp	Indian	(28.1, Inf]	0.7269623	0.6796547	0.8061937
sal + temp	Pacific	(-Inf,26]	0.7434718	0.6915604	0.8257246
sal + temp	Pacific	(26,26.5]	0.8206853	0.7613362	0.8513416
sal + temp	Pacific	(26.5,26.75]	0.8570891	0.8066174	0.8896379
sal + temp	Pacific	(26.75,27]	0.8560634	0.7922794	0.9243153
sal + temp	Pacific	(27,27.25]	0.7372083	0.6662677	0.7920863
sal + temp	Pacific	(27.25,27.5]	0.4558430	0.3543674	0.5397666
sal + temp	Pacific	(27.5,27.75]	0.3292660	0.2790126	0.3908230
sal + temp	Pacific	(27.75,27.85]	0.3081892	0.0861299	0.5159762
sal + temp	Pacific	(27.85,27.95]	0.2293874	0.1868070	0.2567561
sal + temp	Pacific	(27.95,28.05]	0.0894949	-0.0708824	0.1758468
sal + temp	Pacific	(28.05,28.1]	0.2050085	-0.0574955	0.3382951
sal + temp	Pacific	(28.1, Inf]	0.6943005	0.6114993	0.8556828
silicate + phosphate	Atlantic	(-Inf,26]	0.0816628	-0.0663379	0.2667355
silicate + phosphate	Atlantic	(26,26.5]	0.4191551	0.3810106	0.4611022
silicate + phosphate	Atlantic	(26.5,26.75]	0.7180579	0.6477713	0.7804696
silicate + phosphate	Atlantic	(26.75,27]	0.7516532	0.7155135	0.7797290
silicate + phosphate	Atlantic	(27,27.25]	0.8267482	0.7859090	0.8567361
silicate + phosphate	Atlantic	(27.25,27.5]	0.8376828	0.8123314	0.8786690
silicate + phosphate	Atlantic	(27.5,27.75]	0.8733952	0.8344853	0.9202905
silicate + phosphate	Atlantic	(27.75,27.85]	0.9084778	0.8854615	0.9357798
silicate + phosphate	Atlantic	(27.85,27.95]	0.9248497	0.9051459	0.9434062
silicate + phosphate	Atlantic	(27.95,28.05]	0.9413247	0.9327600	0.9567437
silicate + phosphate	Atlantic	(28.05,28.1]	0.9574931	0.9520258	0.9608677
silicate + phosphate	Atlantic	(28.1,28.15]	0.9472972	0.9382417	0.9613175
silicate + phosphate	Atlantic	(28.15,28.2]	0.9409039	0.9168938	0.9623819
silicate + phosphate	Atlantic	(28.2, Inf]	0.8898254	0.8441218	0.9203261
silicate + phosphate	Indian	(-Inf,26]	0.9339934	0.9003693	0.9718448
silicate + phosphate	Indian	(26,26.5]	0.9319080	0.9082013	0.9704588
silicate + phosphate	Indian	(26.5,26.75]	0.9440717	0.9285273	0.9714745
silicate + phosphate	Indian	(26.75,27]	0.9633613	0.9467371	0.9918596
silicate + phosphate	Indian	(27,27.25]	0.9596959	0.9371378	0.9916284
silicate + phosphate	Indian	(27.25,27.5]	0.9614055	0.9535049	0.9709023
silicate + phosphate	Indian	(27.5,27.75]	0.9603915	0.9394562	0.9738524
silicate + phosphate	Indian	(27.75,27.85]	0.9748247	0.9548929	0.9854013
silicate + phosphate	Indian	(27.85,27.95]	0.9673721	0.9501584	0.9801293
silicate + phosphate	Indian	(27.95,28.05]	0.9372584	0.9083188	0.9586720
silicate + phosphate	Indian	(28.05,28.1]	0.8980633	0.8312386	0.9657644
silicate + phosphate	Indian	(28.1, Inf]	0.8631487	0.8322436	0.9045690
silicate + phosphate	Pacific	(-Inf,26]	0.9284561	0.8975964	0.9536497
silicate + phosphate	Pacific	(26,26.5]	0.8802720	0.8341766	0.9133750
silicate + phosphate	Pacific	(26.5,26.75]	0.8349092	0.8118590	0.8722889
silicate + phosphate	Pacific	(26.75,27]	0.9014642	0.8859591	0.9208742
silicate + phosphate	Pacific	(27,27.25]	0.9475502	0.9351143	0.9593293
silicate + phosphate	Pacific	(27.25,27.5]	0.9443332	0.9321735	0.9596511
silicate + phosphate	Pacific	(27.5,27.75]	0.9542977	0.9457069	0.9615006
silicate + phosphate	Pacific	(27.75,27.85]	0.9726450	0.9623537	0.9791362
silicate + phosphate	Pacific	(27.85,27.95]	0.9638223	0.9565225	0.9690439
silicate + phosphate	Pacific	(27.95,28.05]	0.8749884	0.8628999	0.8831329
silicate + phosphate	Pacific	(28.05,28.1]	0.8745498	0.8452716	0.8999892
silicate + phosphate	Pacific	(28.1, Inf]	0.9588518	0.9471606	0.9797459
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.0908419	-0.1083010	-0.0640294
silicate + phosphate_star	Atlantic	(26,26.5]	0.2271969	0.1389982	0.3348389
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.6781728	0.6030475	0.7610838
silicate + phosphate_star	Atlantic	(26.75,27]	0.8055752	0.7828067	0.8429602
silicate + phosphate_star	Atlantic	(27,27.25]	0.8493666	0.8462741	0.8540765
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.9129732	0.9017389	0.9300847
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9563146	0.9481326	0.9682150
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9531277	0.9434873	0.9609592
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9515868	0.9334353	0.9607322
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9497969	0.9367614	0.9566382
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9205387	0.9091395	0.9347223
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9244264	0.9084781	0.9549784
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9348328	0.9126071	0.9584807
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8529064	0.7329350	0.9333370
silicate + phosphate_star	Indian	(-Inf,26]	0.8497856	0.8193369	0.9060223
silicate + phosphate_star	Indian	(26,26.5]	0.7075778	0.6464267	0.7451884
silicate + phosphate_star	Indian	(26.5,26.75]	0.4145654	0.2518989	0.5249186
silicate + phosphate_star	Indian	(26.75,27]	0.3488547	0.2414092	0.4727007
silicate + phosphate_star	Indian	(27,27.25]	-0.0852403	-0.2610948	0.0429769
silicate + phosphate_star	Indian	(27.25,27.5]	-0.1837775	-0.3692250	-0.0809711
silicate + phosphate_star	Indian	(27.5,27.75]	-0.1260650	-0.2827288	0.0249230
silicate + phosphate_star	Indian	(27.75,27.85]	-0.1909689	-0.4308866	0.0307942
silicate + phosphate_star	Indian	(27.85,27.95]	-0.1803481	-0.3160126	-0.0505890
silicate + phosphate_star	Indian	(27.95,28.05]	-0.2161092	-0.5969080	0.0246956
silicate + phosphate_star	Indian	(28.05,28.1]	-0.2776325	-0.6130203	0.1553575
silicate + phosphate_star	Indian	(28.1, Inf]	-0.2556641	-0.4678257	-0.1082922
silicate + phosphate_star	Pacific	(-Inf,26]	0.8731355	0.8351945	0.9100387
silicate + phosphate_star	Pacific	(26,26.5]	0.8301226	0.7700417	0.8695667
silicate + phosphate_star	Pacific	(26.5,26.75]	0.8098108	0.7792353	0.8509026
silicate + phosphate_star	Pacific	(26.75,27]	0.6998034	0.6525124	0.7249783
silicate + phosphate_star	Pacific	(27,27.25]	0.3240814	0.2769669	0.3575711
silicate + phosphate_star	Pacific	(27.25,27.5]	0.0622465	-0.1016553	0.2135024
silicate + phosphate_star	Pacific	(27.5,27.75]	0.3212071	-0.1040388	0.6996059
silicate + phosphate_star	Pacific	(27.75,27.85]	-0.0323320	-0.0558524	0.0011496
silicate + phosphate_star	Pacific	(27.85,27.95]	0.0424661	-0.0519789	0.1027947
silicate + phosphate_star	Pacific	(27.95,28.05]	0.1302003	-0.0570350	0.2429507
silicate + phosphate_star	Pacific	(28.05,28.1]	0.1430339	-0.0455004	0.3179466
silicate + phosphate_star	Pacific	(28.1, Inf]	-0.4761339	-0.5185847	-0.3949545
temp + aou	Atlantic	(-Inf,26]	-0.6720883	-0.7629737	-0.5386789
temp + aou	Atlantic	(26,26.5]	-0.5404985	-0.6376012	-0.4578697
temp + aou	Atlantic	(26.5,26.75]	-0.1389435	-0.2314994	-0.0068583
temp + aou	Atlantic	(26.75,27]	0.2845985	0.2295098	0.3250671
temp + aou	Atlantic	(27,27.25]	0.4205678	0.3192872	0.5724016
temp + aou	Atlantic	(27.25,27.5]	0.4165972	0.3515714	0.5100864
temp + aou	Atlantic	(27.5,27.75]	0.2474639	0.2015171	0.2808952
temp + aou	Atlantic	(27.75,27.85]	0.1983965	0.1146637	0.3269487
temp + aou	Atlantic	(27.85,27.95]	0.1023392	0.0489918	0.1415456
temp + aou	Atlantic	(27.95,28.05]	-0.1371814	-0.2450801	-0.0644498
temp + aou	Atlantic	(28.05,28.1]	-0.3211214	-0.3884201	-0.2525146
temp + aou	Atlantic	(28.1,28.15]	-0.4922790	-0.5740573	-0.3607376
temp + aou	Atlantic	(28.15,28.2]	-0.8987720	-0.9402026	-0.8373525
temp + aou	Atlantic	(28.2, Inf]	-0.7487056	-0.9334774	-0.4017758
temp + aou	Indian	(-Inf,26]	-0.5439234	-0.5875928	-0.5009034
temp + aou	Indian	(26,26.5]	-0.3093935	-0.5380214	-0.1786445
temp + aou	Indian	(26.5,26.75]	0.0546883	-0.0483546	0.1431484
temp + aou	Indian	(26.75,27]	0.2818996	0.1359449	0.4050404
temp + aou	Indian	(27,27.25]	0.6355937	0.5959490	0.7006572
temp + aou	Indian	(27.25,27.5]	0.6511867	0.5538103	0.7889488
temp + aou	Indian	(27.5,27.75]	0.5457373	0.4147002	0.6670526
temp + aou	Indian	(27.75,27.85]	0.5150344	0.3343474	0.6712864
temp + aou	Indian	(27.85,27.95]	0.6063758	0.5250279	0.7221395
temp + aou	Indian	(27.95,28.05]	0.6558105	0.4535606	0.8044593
temp + aou	Indian	(28.05,28.1]	0.7567186	0.6549641	0.8565890
temp + aou	Indian	(28.1, Inf]	0.7589710	0.7332438	0.7899079
temp + aou	Pacific	(-Inf,26]	-0.6008101	-0.7410123	-0.4437084
temp + aou	Pacific	(26,26.5]	-0.3759945	-0.5637725	-0.1499733
temp + aou	Pacific	(26.5,26.75]	-0.2780422	-0.5015783	-0.1109809
temp + aou	Pacific	(26.75,27]	-0.3000067	-0.4079956	-0.2451798
temp + aou	Pacific	(27,27.25]	-0.0717606	-0.1539186	0.0078643
temp + aou	Pacific	(27.25,27.5]	0.2463725	0.1401563	0.3414706
temp + aou	Pacific	(27.5,27.75]	0.3771577	0.2996007	0.4594109
temp + aou	Pacific	(27.75,27.85]	0.4410390	0.4037991	0.5062970
temp + aou	Pacific	(27.85,27.95]	0.4790908	0.3896993	0.5827735
temp + aou	Pacific	(27.95,28.05]	0.5833824	0.4760372	0.6479183
temp + aou	Pacific	(28.05,28.1]	0.6236536	0.5309658	0.7227866
temp + aou	Pacific	(28.1, Inf]	0.8383901	0.7867570	0.8974617
temp + oxygen	Atlantic	(-Inf,26]	0.3950512	0.1841742	0.5597551
temp + oxygen	Atlantic	(26,26.5]	0.1615791	0.0221588	0.3245498
temp + oxygen	Atlantic	(26.5,26.75]	-0.1063854	-0.2035241	-0.0548531
temp + oxygen	Atlantic	(26.75,27]	-0.4691111	-0.5019403	-0.4379559
temp + oxygen	Atlantic	(27,27.25]	-0.5988256	-0.7035345	-0.5363507
temp + oxygen	Atlantic	(27.25,27.5]	-0.6260276	-0.6795988	-0.5718590
temp + oxygen	Atlantic	(27.5,27.75]	-0.5679453	-0.6508144	-0.4975680
temp + oxygen	Atlantic	(27.75,27.85]	-0.5935683	-0.6747330	-0.5468244
temp + oxygen	Atlantic	(27.85,27.95]	-0.5408943	-0.5726231	-0.5158965
temp + oxygen	Atlantic	(27.95,28.05]	-0.2840693	-0.3635909	-0.1583212
temp + oxygen	Atlantic	(28.05,28.1]	-0.1197808	-0.2014234	0.0018227
temp + oxygen	Atlantic	(28.1,28.15]	0.0519819	-0.1816441	0.2271351
temp + oxygen	Atlantic	(28.15,28.2]	0.7792923	0.6512349	0.8652280
temp + oxygen	Atlantic	(28.2, Inf]	0.5250344	0.0767545	0.7868865
temp + oxygen	Indian	(-Inf,26]	0.4342171	0.3978745	0.4764978
temp + oxygen	Indian	(26,26.5]	0.1963625	0.0678545	0.4503427
temp + oxygen	Indian	(26.5,26.75]	-0.1716882	-0.2449040	-0.0986950
temp + oxygen	Indian	(26.75,27]	-0.4464281	-0.5226431	-0.3252683
temp + oxygen	Indian	(27,27.25]	-0.7299499	-0.7837551	-0.6915212
temp + oxygen	Indian	(27.25,27.5]	-0.7452499	-0.8589047	-0.6554092
temp + oxygen	Indian	(27.5,27.75]	-0.6592019	-0.7695294	-0.5444668
temp + oxygen	Indian	(27.75,27.85]	-0.6284152	-0.7609074	-0.4834628
temp + oxygen	Indian	(27.85,27.95]	-0.7074922	-0.8124615	-0.6354423
temp + oxygen	Indian	(27.95,28.05]	-0.7496702	-0.8605572	-0.6013415
temp + oxygen	Indian	(28.05,28.1]	-0.8262047	-0.9028773	-0.7426881
temp + oxygen	Indian	(28.1, Inf]	-0.8276428	-0.8540987	-0.8133285
temp + oxygen	Pacific	(-Inf,26]	0.3015012	0.0647756	0.5367359
temp + oxygen	Pacific	(26,26.5]	0.1744720	-0.0581793	0.3792694
temp + oxygen	Pacific	(26.5,26.75]	0.0947132	-0.0691142	0.3255194
temp + oxygen	Pacific	(26.75,27]	0.1134943	0.0323394	0.2239671
temp + oxygen	Pacific	(27,27.25]	-0.0678211	-0.1469925	0.0097787
temp + oxygen	Pacific	(27.25,27.5]	-0.3366266	-0.4259750	-0.2366594
temp + oxygen	Pacific	(27.5,27.75]	-0.4689123	-0.5335540	-0.3938875
temp + oxygen	Pacific	(27.75,27.85]	-0.5057618	-0.5612947	-0.4730486
temp + oxygen	Pacific	(27.85,27.95]	-0.5402510	-0.6271610	-0.4616717
temp + oxygen	Pacific	(27.95,28.05]	-0.6359834	-0.6911118	-0.5382777
temp + oxygen	Pacific	(28.05,28.1]	-0.6802118	-0.7666580	-0.6056249
temp + oxygen	Pacific	(28.1, Inf]	-0.8722874	-0.9205937	-0.8296699
temp + phosphate	Atlantic	(-Inf,26]	-0.8335793	-0.8828315	-0.7802944
temp + phosphate	Atlantic	(26,26.5]	-0.8100225	-0.8246403	-0.7876299
temp + phosphate	Atlantic	(26.5,26.75]	-0.5341039	-0.6166706	-0.3912301
temp + phosphate	Atlantic	(26.75,27]	-0.2134845	-0.2828781	-0.1630128
temp + phosphate	Atlantic	(27,27.25]	-0.0891005	-0.2438461	0.0658568
temp + phosphate	Atlantic	(27.25,27.5]	-0.2330293	-0.3758469	-0.1526885
temp + phosphate	Atlantic	(27.5,27.75]	-0.3493438	-0.3846006	-0.2974933
temp + phosphate	Atlantic	(27.75,27.85]	-0.3163477	-0.3737054	-0.2241974
temp + phosphate	Atlantic	(27.85,27.95]	-0.4061063	-0.4237881	-0.3937812
temp + phosphate	Atlantic	(27.95,28.05]	-0.5291909	-0.5891062	-0.4889012
temp + phosphate	Atlantic	(28.05,28.1]	-0.6618788	-0.7014509	-0.6151111
temp + phosphate	Atlantic	(28.1,28.15]	-0.7351846	-0.7695376	-0.6820398
temp + phosphate	Atlantic	(28.15,28.2]	-0.9303277	-0.9474965	-0.8964805
temp + phosphate	Atlantic	(28.2, Inf]	-0.8436920	-0.9582622	-0.6724190
temp + phosphate	Indian	(-Inf,26]	-0.6437061	-0.6847743	-0.5795481
temp + phosphate	Indian	(26,26.5]	-0.5009608	-0.6847629	-0.3495855
temp + phosphate	Indian	(26.5,26.75]	-0.2214763	-0.3695373	-0.0720598
temp + phosphate	Indian	(26.75,27]	-0.1939573	-0.3517850	0.0546894
temp + phosphate	Indian	(27,27.25]	0.2728372	0.2017804	0.3428846
temp + phosphate	Indian	(27.25,27.5]	0.3308577	0.2477615	0.4812265
temp + phosphate	Indian	(27.5,27.75]	0.2828090	0.1331508	0.4078063
temp + phosphate	Indian	(27.75,27.85]	0.3423836	0.0685242	0.5781123
temp + phosphate	Indian	(27.85,27.95]	0.4324916	0.3353781	0.5655225
temp + phosphate	Indian	(27.95,28.05]	0.4720093	0.1315949	0.7323247
temp + phosphate	Indian	(28.05,28.1]	0.6235563	0.4938705	0.8088112
temp + phosphate	Indian	(28.1, Inf]	0.6737957	0.6089232	0.7275493
temp + phosphate	Pacific	(-Inf,26]	-0.7217608	-0.8290806	-0.5947047
temp + phosphate	Pacific	(26,26.5]	-0.5432182	-0.7006819	-0.3488328
temp + phosphate	Pacific	(26.5,26.75]	-0.4415297	-0.6367997	-0.2851690
temp + phosphate	Pacific	(26.75,27]	-0.4605093	-0.5694342	-0.4053966
temp + phosphate	Pacific	(27,27.25]	-0.2602661	-0.3579932	-0.1682613
temp + phosphate	Pacific	(27.25,27.5]	0.1127930	-0.0174485	0.2384753
temp + phosphate	Pacific	(27.5,27.75]	0.2992471	0.2192951	0.3482012
temp + phosphate	Pacific	(27.75,27.85]	0.3367409	0.2880085	0.4315999
temp + phosphate	Pacific	(27.85,27.95]	0.3791520	0.2756578	0.5180601
temp + phosphate	Pacific	(27.95,28.05]	0.5154442	0.3984076	0.5937798
temp + phosphate	Pacific	(28.05,28.1]	0.5626052	0.4081431	0.6861098
temp + phosphate	Pacific	(28.1, Inf]	0.8481280	0.7987434	0.9313699
temp + phosphate_star	Atlantic	(-Inf,26]	-0.9198020	-0.9378615	-0.9009375
temp + phosphate_star	Atlantic	(26,26.5]	-0.9379159	-0.9527137	-0.9175262
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9413641	-0.9564828	-0.9336982
temp + phosphate_star	Atlantic	(26.75,27]	-0.9063469	-0.9166526	-0.8949973
temp + phosphate_star	Atlantic	(27,27.25]	-0.7930730	-0.8045271	-0.7868098
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8000435	-0.8084371	-0.7929093
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.7465826	-0.7727547	-0.7165687
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.6869769	-0.7108142	-0.6469649
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.7111650	-0.7300914	-0.6881690
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7864090	-0.8069809	-0.7591156
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8618864	-0.8708157	-0.8464802
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8902874	-0.9038086	-0.8806947
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9579131	-0.9673692	-0.9412569
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8881838	-0.9668069	-0.7872846
temp + phosphate_star	Indian	(-Inf,26]	-0.8674484	-0.9141446	-0.7891046
temp + phosphate_star	Indian	(26,26.5]	-0.9142485	-0.9529699	-0.8443821
temp + phosphate_star	Indian	(26.5,26.75]	-0.9349214	-0.9734222	-0.8600239
temp + phosphate_star	Indian	(26.75,27]	-0.9756500	-0.9912750	-0.9507250
temp + phosphate_star	Indian	(27,27.25]	-0.9813797	-0.9939690	-0.9651588
temp + phosphate_star	Indian	(27.25,27.5]	-0.9865614	-0.9951023	-0.9733225
temp + phosphate_star	Indian	(27.5,27.75]	-0.9853991	-0.9880785	-0.9804254
temp + phosphate_star	Indian	(27.75,27.85]	-0.9665507	-0.9783992	-0.9470622
temp + phosphate_star	Indian	(27.85,27.95]	-0.9181542	-0.9426664	-0.8920309
temp + phosphate_star	Indian	(27.95,28.05]	-0.8605916	-0.8990138	-0.8148799
temp + phosphate_star	Indian	(28.05,28.1]	-0.8414821	-0.8738332	-0.8168059
temp + phosphate_star	Indian	(28.1, Inf]	-0.7526843	-0.7969553	-0.6803565
temp + phosphate_star	Pacific	(-Inf,26]	-0.9290072	-0.9462820	-0.9093265
temp + phosphate_star	Pacific	(26,26.5]	-0.9288826	-0.9546204	-0.9085779
temp + phosphate_star	Pacific	(26.5,26.75]	-0.9306816	-0.9503837	-0.9153273
temp + phosphate_star	Pacific	(26.75,27]	-0.9226132	-0.9449846	-0.8921922
temp + phosphate_star	Pacific	(27,27.25]	-0.9100588	-0.9253085	-0.8855414
temp + phosphate_star	Pacific	(27.25,27.5]	-0.8037031	-0.8858108	-0.6487152
temp + phosphate_star	Pacific	(27.5,27.75]	-0.4387001	-0.9275844	-0.0135138
temp + phosphate_star	Pacific	(27.75,27.85]	-0.9168740	-0.9382412	-0.8793759
temp + phosphate_star	Pacific	(27.85,27.95]	-0.8781358	-0.9289422	-0.8035747
temp + phosphate_star	Pacific	(27.95,28.05]	-0.7682837	-0.8457630	-0.7146496
temp + phosphate_star	Pacific	(28.05,28.1]	-0.6404463	-0.7225623	-0.4890336
temp + phosphate_star	Pacific	(28.1, Inf]	-0.6351827	-0.6620222	-0.5958222
temp + silicate	Atlantic	(-Inf,26]	0.0288033	-0.0523292	0.1233124
temp + silicate	Atlantic	(26,26.5]	-0.2096853	-0.2567820	-0.1277868
temp + silicate	Atlantic	(26.5,26.75]	-0.6611858	-0.7228797	-0.6029525
temp + silicate	Atlantic	(26.75,27]	-0.6268697	-0.6487842	-0.6030185
temp + silicate	Atlantic	(27,27.25]	-0.4254369	-0.4386885	-0.4051332
temp + silicate	Atlantic	(27.25,27.5]	-0.5489860	-0.5620338	-0.5287162
temp + silicate	Atlantic	(27.5,27.75]	-0.5798366	-0.6439179	-0.5354495
temp + silicate	Atlantic	(27.75,27.85]	-0.5155419	-0.5548992	-0.4518333
temp + silicate	Atlantic	(27.85,27.95]	-0.5939329	-0.6249447	-0.5435834
temp + silicate	Atlantic	(27.95,28.05]	-0.6782459	-0.7202719	-0.6238681
temp + silicate	Atlantic	(28.05,28.1]	-0.7030583	-0.7338650	-0.6556043
temp + silicate	Atlantic	(28.1,28.15]	-0.7386551	-0.7495434	-0.7202490
temp + silicate	Atlantic	(28.15,28.2]	-0.8432554	-0.8741377	-0.8024270
temp + silicate	Atlantic	(28.2, Inf]	-0.6665382	-0.8050057	-0.4294664
temp + silicate	Indian	(-Inf,26]	-0.5809082	-0.5989004	-0.5625613
temp + silicate	Indian	(26,26.5]	-0.4750895	-0.5351584	-0.4246099
temp + silicate	Indian	(26.5,26.75]	-0.2079249	-0.3747025	-0.0594424
temp + silicate	Indian	(26.75,27]	-0.2458684	-0.4027733	-0.0573302
temp + silicate	Indian	(27,27.25]	0.1626764	0.0532150	0.2922804
temp + silicate	Indian	(27.25,27.5]	0.2245461	0.1425872	0.3630445
temp + silicate	Indian	(27.5,27.75]	0.1689780	0.0363972	0.2733650
temp + silicate	Indian	(27.75,27.85]	0.2944736	0.0795496	0.4811254
temp + silicate	Indian	(27.85,27.95]	0.3676631	0.2784169	0.4792690
temp + silicate	Indian	(27.95,28.05]	0.3858170	0.1728657	0.6743591
temp + silicate	Indian	(28.05,28.1]	0.4374825	0.1951745	0.6484979
temp + silicate	Indian	(28.1, Inf]	0.5275424	0.4908955	0.5982025
temp + silicate	Pacific	(-Inf,26]	-0.7728312	-0.8424160	-0.7012709
temp + silicate	Pacific	(26,26.5]	-0.7047466	-0.7825003	-0.6004176
temp + silicate	Pacific	(26.5,26.75]	-0.6911283	-0.7693916	-0.6243891
temp + silicate	Pacific	(26.75,27]	-0.6225462	-0.6591465	-0.5956300
temp + silicate	Pacific	(27,27.25]	-0.3847166	-0.4342018	-0.3365249
temp + silicate	Pacific	(27.25,27.5]	-0.0730879	-0.1456101	0.0164534
temp + silicate	Pacific	(27.5,27.75]	0.2176702	0.1358957	0.3450641
temp + silicate	Pacific	(27.75,27.85]	0.2434178	0.2152366	0.2644069
temp + silicate	Pacific	(27.85,27.95]	0.2611194	0.1792529	0.3467591
temp + silicate	Pacific	(27.95,28.05]	0.2693917	0.1746945	0.3295770
temp + silicate	Pacific	(28.05,28.1]	0.4461256	0.3870606	0.4897626
temp + silicate	Pacific	(28.1, Inf]	0.8068705	0.7344441	0.9134671

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
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]	0.3725716	0.0810235	0.6501470
aou	Atlantic	(26,26.5]	0.1413898	-0.0807817	0.3203792
aou	Atlantic	(26.5,26.75]	0.0805625	-0.2971189	0.4894981
aou	Atlantic	(26.75,27]	-0.0274181	-0.2601791	0.2175143
aou	Atlantic	(27,27.25]	-0.3402716	-0.3775748	-0.2948231
aou	Atlantic	(27.25,27.5]	-0.2987546	-0.3604878	-0.2277658
aou	Atlantic	(27.5,27.75]	-0.5057549	-0.5427524	-0.4835670
aou	Atlantic	(27.75,27.85]	-0.7308611	-0.7584179	-0.6904763
aou	Atlantic	(27.85,27.95]	-0.6909274	-0.7453362	-0.6611227
aou	Atlantic	(27.95,28.05]	-0.7852185	-0.8417745	-0.7044106
aou	Atlantic	(28.05,28.1]	-0.8218918	-0.8325115	-0.8143136
aou	Atlantic	(28.1,28.15]	-0.8909659	-0.9133966	-0.8639245
aou	Atlantic	(28.15,28.2]	-0.9670560	-0.9867498	-0.9521494
aou	Atlantic	(28.2, Inf]	-0.8413106	-0.9476554	-0.6329678
aou	Indian	(-Inf,26]	-0.4298299	-0.6954978	-0.2657835
aou	Indian	(26,26.5]	-0.7147917	-0.9430779	-0.4718027
aou	Indian	(26.5,26.75]	-0.7872995	-0.9249675	-0.6700848
aou	Indian	(26.75,27]	-0.4924267	-0.5699313	-0.4246269
aou	Indian	(27,27.25]	-0.2099234	-0.4003625	0.0441026
aou	Indian	(27.25,27.5]	-0.0378522	-0.2098092	0.2173888
aou	Indian	(27.5,27.75]	-0.1187980	-0.4831118	0.3122660
aou	Indian	(27.75,27.85]	-0.3440795	-0.7960053	0.1962021
aou	Indian	(27.85,27.95]	-0.5368929	-0.8473480	-0.1209975
aou	Indian	(27.95,28.05]	-0.7383199	-0.9422103	-0.5603874
aou	Indian	(28.05,28.1]	-0.7537694	-0.9047218	-0.4917370
aou	Indian	(28.1, Inf]	-0.0631283	-0.2627276	0.2162779
aou	Pacific	(-Inf,26]	0.1187633	-0.0525222	0.2745653
aou	Pacific	(26,26.5]	-0.4425317	-0.5246198	-0.3365531
aou	Pacific	(26.5,26.75]	-0.6441077	-0.6702645	-0.6001822
aou	Pacific	(26.75,27]	-0.7179068	-0.8095289	-0.6300378
aou	Pacific	(27,27.25]	-0.1981131	-0.4103097	-0.0104704
aou	Pacific	(27.25,27.5]	0.1977736	-0.1328045	0.4687838
aou	Pacific	(27.5,27.75]	0.1456821	-0.2810517	0.5932815
aou	Pacific	(27.75,27.85]	0.5464011	0.3998089	0.6754125
aou	Pacific	(27.85,27.95]	0.5324239	0.4134548	0.7354167
aou	Pacific	(27.95,28.05]	0.4872523	0.3902542	0.6612689
aou	Pacific	(28.05,28.1]	0.6207476	0.5912712	0.6358895
aou	Pacific	(28.1, Inf]	0.4931453	0.2164811	0.6741745
oxygen	Atlantic	(-Inf,26]	-0.2492223	-0.5514382	0.0273456
oxygen	Atlantic	(26,26.5]	-0.0311495	-0.1967154	0.1323629
oxygen	Atlantic	(26.5,26.75]	-0.2108018	-0.5787471	0.1116615
oxygen	Atlantic	(26.75,27]	-0.1020983	-0.3281164	0.1224944
oxygen	Atlantic	(27,27.25]	0.2387040	0.1913441	0.2802446
oxygen	Atlantic	(27.25,27.5]	0.1591119	0.0708808	0.2260128
oxygen	Atlantic	(27.5,27.75]	0.3236659	0.2813930	0.3541862
oxygen	Atlantic	(27.75,27.85]	0.5244852	0.4642827	0.5546580
oxygen	Atlantic	(27.85,27.95]	0.4548550	0.4075467	0.5140741
oxygen	Atlantic	(27.95,28.05]	0.5668796	0.4605821	0.6484838
oxygen	Atlantic	(28.05,28.1]	0.5719861	0.5310629	0.6409036
oxygen	Atlantic	(28.1,28.15]	0.6876620	0.5960226	0.7773295
oxygen	Atlantic	(28.15,28.2]	0.9274461	0.8839575	0.9750604
oxygen	Atlantic	(28.2, Inf]	0.7171971	0.4433468	0.8647599
oxygen	Indian	(-Inf,26]	0.4842448	0.3233529	0.7661658
oxygen	Indian	(26,26.5]	0.7076963	0.4754295	0.9481365
oxygen	Indian	(26.5,26.75]	0.7424908	0.6426172	0.8877101
oxygen	Indian	(26.75,27]	0.3526183	0.3008049	0.4110099
oxygen	Indian	(27,27.25]	0.1145871	-0.0830705	0.2854521
oxygen	Indian	(27.25,27.5]	-0.0555017	-0.2535938	0.0984248
oxygen	Indian	(27.5,27.75]	0.0561480	-0.3121180	0.3838831
oxygen	Indian	(27.75,27.85]	0.3578346	-0.1434897	0.8050524
oxygen	Indian	(27.85,27.95]	0.5623115	0.1660864	0.8810678
oxygen	Indian	(27.95,28.05]	0.7061067	0.5272760	0.9464854
oxygen	Indian	(28.05,28.1]	0.7279913	0.4212307	0.9012730
oxygen	Indian	(28.1, Inf]	0.0492150	-0.2462634	0.2421262
oxygen	Pacific	(-Inf,26]	0.0476600	-0.1777875	0.2719704
oxygen	Pacific	(26,26.5]	0.4525052	0.3618975	0.5395808
oxygen	Pacific	(26.5,26.75]	0.6560715	0.6194525	0.6792569
oxygen	Pacific	(26.75,27]	0.7702738	0.7291943	0.8266461
oxygen	Pacific	(27,27.25]	0.2246140	0.0480981	0.4320993
oxygen	Pacific	(27.25,27.5]	-0.1761455	-0.4365568	0.1463944
oxygen	Pacific	(27.5,27.75]	-0.1534188	-0.5779838	0.2494909
oxygen	Pacific	(27.75,27.85]	-0.5377802	-0.6758871	-0.3867183
oxygen	Pacific	(27.85,27.95]	-0.5265343	-0.7353454	-0.4080323
oxygen	Pacific	(27.95,28.05]	-0.4741169	-0.6496190	-0.3805369
oxygen	Pacific	(28.05,28.1]	-0.6207278	-0.6270229	-0.6085567
oxygen	Pacific	(28.1, Inf]	-0.4907887	-0.6668013	-0.2264691
phosphate	Atlantic	(-Inf,26]	0.4461554	0.2377422	0.6401285
phosphate	Atlantic	(26,26.5]	0.1441727	-0.1127765	0.3000138
phosphate	Atlantic	(26.5,26.75]	-0.2205003	-0.6291437	0.1629903
phosphate	Atlantic	(26.75,27]	-0.5015055	-0.6952042	-0.2808179
phosphate	Atlantic	(27,27.25]	-0.8020952	-0.8311718	-0.7630119
phosphate	Atlantic	(27.25,27.5]	-0.8664630	-0.8938738	-0.8244470
phosphate	Atlantic	(27.5,27.75]	-0.9338295	-0.9499649	-0.9076417
phosphate	Atlantic	(27.75,27.85]	-0.9597894	-0.9630861	-0.9548137
phosphate	Atlantic	(27.85,27.95]	-0.9389462	-0.9504639	-0.9289688
phosphate	Atlantic	(27.95,28.05]	-0.9517031	-0.9603225	-0.9464964
phosphate	Atlantic	(28.05,28.1]	-0.9639996	-0.9742754	-0.9566439
phosphate	Atlantic	(28.1,28.15]	-0.9666048	-0.9757964	-0.9554884
phosphate	Atlantic	(28.15,28.2]	-0.9884548	-0.9948939	-0.9814132
phosphate	Atlantic	(28.2, Inf]	-0.9748524	-0.9959577	-0.9390853
phosphate	Indian	(-Inf,26]	-0.4402059	-0.6435188	-0.2679638
phosphate	Indian	(26,26.5]	-0.7514078	-0.9223239	-0.5398504
phosphate	Indian	(26.5,26.75]	-0.8732806	-0.9793278	-0.7640681
phosphate	Indian	(26.75,27]	-0.8010189	-0.8882719	-0.6436856
phosphate	Indian	(27,27.25]	-0.5065898	-0.7383524	-0.1323070
phosphate	Indian	(27.25,27.5]	-0.3104100	-0.5498453	0.0784083
phosphate	Indian	(27.5,27.75]	-0.2527639	-0.6701554	0.2751182
phosphate	Indian	(27.75,27.85]	-0.3350655	-0.7693814	0.2437324
phosphate	Indian	(27.85,27.95]	-0.4827967	-0.7442971	-0.0770562
phosphate	Indian	(27.95,28.05]	-0.7698539	-0.8486991	-0.6503289
phosphate	Indian	(28.05,28.1]	-0.8068175	-0.8812972	-0.6659401
phosphate	Indian	(28.1, Inf]	-0.4232392	-0.5613103	-0.2056024
phosphate	Pacific	(-Inf,26]	0.1466615	0.0154358	0.2542256
phosphate	Pacific	(26,26.5]	-0.4932569	-0.5703319	-0.3650236
phosphate	Pacific	(26.5,26.75]	-0.6539023	-0.6957086	-0.6054615
phosphate	Pacific	(26.75,27]	-0.7020439	-0.8250644	-0.5822167
phosphate	Pacific	(27,27.25]	-0.2884145	-0.5031681	-0.0942508
phosphate	Pacific	(27.25,27.5]	0.0680534	-0.3565321	0.4090037
phosphate	Pacific	(27.5,27.75]	-0.0854377	-0.6279584	0.5387882
phosphate	Pacific	(27.75,27.85]	0.5115599	0.3777793	0.6235141
phosphate	Pacific	(27.85,27.95]	0.5081730	0.3830194	0.6985107
phosphate	Pacific	(27.95,28.05]	0.4916329	0.3918850	0.6464974
phosphate	Pacific	(28.05,28.1]	0.5966578	0.5095191	0.6530669
phosphate	Pacific	(28.1, Inf]	0.4507038	0.2156684	0.5977474
phosphate_star	Atlantic	(-Inf,26]	0.4537696	0.3853094	0.4939897
phosphate_star	Atlantic	(26,26.5]	0.1549458	-0.0626223	0.2946253
phosphate_star	Atlantic	(26.5,26.75]	-0.6130238	-0.8140965	-0.4525226
phosphate_star	Atlantic	(26.75,27]	-0.8332334	-0.8471096	-0.8144676
phosphate_star	Atlantic	(27,27.25]	-0.7759354	-0.8153476	-0.7483993
phosphate_star	Atlantic	(27.25,27.5]	-0.8300188	-0.8592264	-0.8131528
phosphate_star	Atlantic	(27.5,27.75]	-0.8284868	-0.8442066	-0.8046584
phosphate_star	Atlantic	(27.75,27.85]	-0.8067788	-0.8355276	-0.7796560
phosphate_star	Atlantic	(27.85,27.95]	-0.8541220	-0.8560933	-0.8518855
phosphate_star	Atlantic	(27.95,28.05]	-0.8952120	-0.9100956	-0.8709638
phosphate_star	Atlantic	(28.05,28.1]	-0.9208899	-0.9390921	-0.9085479
phosphate_star	Atlantic	(28.1,28.15]	-0.9168641	-0.9382506	-0.8857558
phosphate_star	Atlantic	(28.15,28.2]	-0.9825209	-0.9905451	-0.9777789
phosphate_star	Atlantic	(28.2, Inf]	-0.9785581	-0.9915333	-0.9535865
phosphate_star	Indian	(-Inf,26]	-0.2915594	-0.4099306	-0.1091144
phosphate_star	Indian	(26,26.5]	-0.5492125	-0.6547328	-0.4406895
phosphate_star	Indian	(26.5,26.75]	-0.5064137	-0.5643750	-0.4337437
phosphate_star	Indian	(26.75,27]	-0.6607030	-0.7440235	-0.5239526
phosphate_star	Indian	(27,27.25]	-0.4737823	-0.6477246	-0.3785567
phosphate_star	Indian	(27.25,27.5]	-0.4911997	-0.6696479	-0.3856352
phosphate_star	Indian	(27.5,27.75]	-0.2759238	-0.4891984	-0.1675342
phosphate_star	Indian	(27.75,27.85]	0.2489247	-0.0363651	0.5975234
phosphate_star	Indian	(27.85,27.95]	0.4282145	0.2682152	0.7433404
phosphate_star	Indian	(27.95,28.05]	0.2105082	-0.1327853	0.8324622
phosphate_star	Indian	(28.05,28.1]	0.2731651	-0.3691740	0.7411540
phosphate_star	Indian	(28.1, Inf]	-0.3824132	-0.7673997	-0.1031263
phosphate_star	Pacific	(-Inf,26]	0.3023906	0.2774847	0.3228283
phosphate_star	Pacific	(26,26.5]	-0.3517988	-0.5041843	-0.1612746
phosphate_star	Pacific	(26.5,26.75]	-0.3311096	-0.3827850	-0.2363223
phosphate_star	Pacific	(26.75,27]	-0.2007416	-0.3549772	0.0340158
phosphate_star	Pacific	(27,27.25]	-0.1979867	-0.2407323	-0.1335356
phosphate_star	Pacific	(27.25,27.5]	-0.3999854	-0.6180636	-0.2616572
phosphate_star	Pacific	(27.5,27.75]	-0.6551859	-0.8775744	-0.3505519
phosphate_star	Pacific	(27.75,27.85]	-0.2213836	-0.3425708	-0.1360807
phosphate_star	Pacific	(27.85,27.95]	-0.1427954	-0.2247639	-0.0069258
phosphate_star	Pacific	(27.95,28.05]	0.0737703	-0.0563040	0.2790088
phosphate_star	Pacific	(28.05,28.1]	-0.1173006	-0.3435267	0.0418679
phosphate_star	Pacific	(28.1, Inf]	-0.4324455	-0.5820160	-0.1836690
sal	Atlantic	(-Inf,26]	0.0189570	-0.1331711	0.2373425
sal	Atlantic	(26,26.5]	-0.2386468	-0.3727971	-0.0615162
sal	Atlantic	(26.5,26.75]	0.5044432	0.3053615	0.6809352
sal	Atlantic	(26.75,27]	0.6275764	0.5864310	0.6987705
sal	Atlantic	(27,27.25]	0.1958695	0.1603935	0.2147478
sal	Atlantic	(27.25,27.5]	0.2901182	0.2751160	0.3083668
sal	Atlantic	(27.5,27.75]	0.0140121	-0.0631954	0.0534466
sal	Atlantic	(27.75,27.85]	-0.3038811	-0.4198446	-0.1722956
sal	Atlantic	(27.85,27.95]	-0.3232196	-0.3565196	-0.3036619
sal	Atlantic	(27.95,28.05]	-0.0477857	-0.0863311	-0.0210958
sal	Atlantic	(28.05,28.1]	0.3601697	0.1085705	0.5786949
sal	Atlantic	(28.1,28.15]	0.2499330	0.1213996	0.3738948
sal	Atlantic	(28.15,28.2]	0.7616998	0.4937305	0.9373027
sal	Atlantic	(28.2, Inf]	-0.1570653	-0.4107786	0.2962385
sal	Indian	(-Inf,26]	0.6612606	0.5674988	0.8384648
sal	Indian	(26,26.5]	0.7090435	0.5400596	0.8780856
sal	Indian	(26.5,26.75]	0.6084599	0.4687847	0.7587249
sal	Indian	(26.75,27]	0.7134497	0.6349074	0.8004975
sal	Indian	(27,27.25]	0.5679569	0.3924022	0.7843523
sal	Indian	(27.25,27.5]	0.5056010	0.2355407	0.8258694
sal	Indian	(27.5,27.75]	0.3107756	-0.1137065	0.8652540
sal	Indian	(27.75,27.85]	-0.0120764	-0.6966257	0.8282835
sal	Indian	(27.85,27.95]	-0.2221650	-0.7585147	0.5134360
sal	Indian	(27.95,28.05]	-0.4922040	-0.9013986	-0.2487725
sal	Indian	(28.05,28.1]	-0.6286862	-0.8619136	-0.2901370
sal	Indian	(28.1, Inf]	-0.2205517	-0.4591881	0.2107287
sal	Pacific	(-Inf,26]	-0.1271353	-0.2350063	-0.0488096
sal	Pacific	(26,26.5]	0.0676285	-0.0872483	0.2071175
sal	Pacific	(26.5,26.75]	-0.0093160	-0.1099489	0.1287374
sal	Pacific	(26.75,27]	-0.1674488	-0.3906819	-0.0237872
sal	Pacific	(27,27.25]	-0.4961029	-0.5960853	-0.4209610
sal	Pacific	(27.25,27.5]	-0.8549766	-0.8942095	-0.8294464
sal	Pacific	(27.5,27.75]	-0.6326821	-0.7131819	-0.5120095
sal	Pacific	(27.75,27.85]	-0.1436589	-0.3058202	0.0738893
sal	Pacific	(27.85,27.95]	0.0538110	-0.1605500	0.2684937
sal	Pacific	(27.95,28.05]	0.2205328	0.0457364	0.3657167
sal	Pacific	(28.05,28.1]	0.2110142	0.0272383	0.3695296
sal	Pacific	(28.1, Inf]	0.2361219	-0.0608810	0.4078526
silicate	Atlantic	(-Inf,26]	-0.7112657	-0.8214787	-0.5569699
silicate	Atlantic	(26,26.5]	-0.5862429	-0.7537567	-0.4119662
silicate	Atlantic	(26.5,26.75]	-0.5996927	-0.8098423	-0.3716874
silicate	Atlantic	(26.75,27]	-0.8426088	-0.9242361	-0.7600596
silicate	Atlantic	(27,27.25]	-0.9334196	-0.9513598	-0.9141803
silicate	Atlantic	(27.25,27.5]	-0.9382941	-0.9495336	-0.9300073
silicate	Atlantic	(27.5,27.75]	-0.9043586	-0.9102673	-0.8993731
silicate	Atlantic	(27.75,27.85]	-0.8675613	-0.8755642	-0.8580889
silicate	Atlantic	(27.85,27.95]	-0.8399355	-0.8498385	-0.8203208
silicate	Atlantic	(27.95,28.05]	-0.8763389	-0.8964536	-0.8558580
silicate	Atlantic	(28.05,28.1]	-0.9216562	-0.9382904	-0.9074101
silicate	Atlantic	(28.1,28.15]	-0.9139917	-0.9230482	-0.9094606
silicate	Atlantic	(28.15,28.2]	-0.9435552	-0.9742097	-0.9229035
silicate	Atlantic	(28.2, Inf]	-0.8144129	-0.9196929	-0.6657694
silicate	Indian	(-Inf,26]	-0.6020956	-0.7447635	-0.4462137
silicate	Indian	(26,26.5]	-0.8484777	-0.9743954	-0.6825061
silicate	Indian	(26.5,26.75]	-0.9186027	-0.9738845	-0.8422942
silicate	Indian	(26.75,27]	-0.8370278	-0.9031567	-0.7317609
silicate	Indian	(27,27.25]	-0.6095201	-0.7669487	-0.3218690
silicate	Indian	(27.25,27.5]	-0.4163121	-0.6263370	-0.0784573
silicate	Indian	(27.5,27.75]	-0.3683327	-0.7187952	0.0657325
silicate	Indian	(27.75,27.85]	-0.3805575	-0.7359964	0.0652765
silicate	Indian	(27.85,27.95]	-0.5040358	-0.7051334	-0.2070445
silicate	Indian	(27.95,28.05]	-0.7444149	-0.8495509	-0.6620981
silicate	Indian	(28.05,28.1]	-0.7976448	-0.8425547	-0.7289072
silicate	Indian	(28.1, Inf]	-0.5936942	-0.7955692	-0.3452707
silicate	Pacific	(-Inf,26]	0.0575394	-0.0358307	0.1405471
silicate	Pacific	(26,26.5]	-0.6104007	-0.6819606	-0.5142728
silicate	Pacific	(26.5,26.75]	-0.6385485	-0.6955604	-0.5835082
silicate	Pacific	(26.75,27]	-0.5568973	-0.6832005	-0.3664324
silicate	Pacific	(27,27.25]	-0.2046106	-0.4010012	0.0155958
silicate	Pacific	(27.25,27.5]	0.1910529	-0.1740463	0.5171167
silicate	Pacific	(27.5,27.75]	0.0213582	-0.4830554	0.6132108
silicate	Pacific	(27.75,27.85]	0.5463381	0.4067001	0.6741148
silicate	Pacific	(27.85,27.95]	0.5479275	0.4240738	0.7357395
silicate	Pacific	(27.95,28.05]	0.6342816	0.5180637	0.8108927
silicate	Pacific	(28.05,28.1]	0.6227013	0.5548095	0.6639829
silicate	Pacific	(28.1, Inf]	0.3490102	0.1161887	0.4765865
temp	Atlantic	(-Inf,26]	-0.5043223	-0.5340808	-0.4864203
temp	Atlantic	(26,26.5]	-0.2962492	-0.4023065	-0.1341326
temp	Atlantic	(26.5,26.75]	0.5359160	0.3855008	0.7709212
temp	Atlantic	(26.75,27]	0.6129808	0.5959222	0.6227995
temp	Atlantic	(27,27.25]	0.2611590	0.2145108	0.3320691
temp	Atlantic	(27.25,27.5]	0.3500268	0.3216077	0.3910716
temp	Atlantic	(27.5,27.75]	0.2671910	0.2309632	0.3261736
temp	Atlantic	(27.75,27.85]	0.1465332	0.0460496	0.2231910
temp	Atlantic	(27.85,27.95]	0.2811081	0.2533165	0.3095566
temp	Atlantic	(27.95,28.05]	0.4699936	0.4349252	0.5268216
temp	Atlantic	(28.05,28.1]	0.6368584	0.6346674	0.6397257
temp	Atlantic	(28.1,28.15]	0.6643410	0.5874939	0.7126518
temp	Atlantic	(28.15,28.2]	0.9046494	0.8610228	0.9308572
temp	Atlantic	(28.2, Inf]	0.8424608	0.6861484	0.9517910
temp	Indian	(-Inf,26]	-0.1801094	-0.2856874	-0.0783717
temp	Indian	(26,26.5]	0.2198146	-0.0436787	0.4135083
temp	Indian	(26.5,26.75]	0.2518269	0.0838023	0.4340422
temp	Indian	(26.75,27]	0.5361205	0.2827759	0.6680841
temp	Indian	(27,27.25]	0.3668848	0.1660430	0.5709669
temp	Indian	(27.25,27.5]	0.4297782	0.2611612	0.6382017
temp	Indian	(27.5,27.75]	0.2275364	0.0489220	0.4596524
temp	Indian	(27.75,27.85]	-0.3303663	-0.6203573	-0.0776008
temp	Indian	(27.85,27.95]	-0.5234220	-0.8152573	-0.3471619
temp	Indian	(27.95,28.05]	-0.3329297	-0.8079740	0.0090992
temp	Indian	(28.05,28.1]	-0.4585725	-0.7768903	-0.0131358
temp	Indian	(28.1, Inf]	0.0462268	-0.1425740	0.3433107
temp	Pacific	(-Inf,26]	-0.4928738	-0.5234208	-0.4460777
temp	Pacific	(26,26.5]	0.0920048	-0.1024430	0.1985564
temp	Pacific	(26.5,26.75]	0.0644917	-0.0723116	0.1661122
temp	Pacific	(26.75,27]	-0.0798636	-0.3375276	0.0526854
temp	Pacific	(27,27.25]	-0.1433697	-0.2251986	-0.0865492
temp	Pacific	(27.25,27.5]	-0.1203718	-0.1362742	-0.0982118
temp	Pacific	(27.5,27.75]	0.1644517	0.1480723	0.1771542
temp	Pacific	(27.75,27.85]	0.2000946	0.0798617	0.3602966
temp	Pacific	(27.85,27.95]	0.2271394	0.1307334	0.3439597
temp	Pacific	(27.95,28.05]	0.1441328	0.0571988	0.2036962
temp	Pacific	(28.05,28.1]	0.4113152	0.3205611	0.5263615
temp	Pacific	(28.1, Inf]	0.4198745	0.2740899	0.5186093

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 15.1

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_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.8.0      
 [9] scico_1.2.0      patchwork_1.1.0  collapse_1.4.2   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.2.1          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_0.4.9             
[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_0.10.1.2.0 data.table_1.13.4       
[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_0.19                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_0.1

eMLR - assumption testing

Jens Daniel Müller

23 December, 2020