Last updated: 2021-01-05

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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_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 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
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
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
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]	-0.9490274	-0.9652088	-0.9267861
aou + oxygen	Atlantic	(26,26.5]	-0.9155777	-0.9278707	-0.8986063
aou + oxygen	Atlantic	(26.5,26.75]	-0.9672540	-0.9774962	-0.9588998
aou + oxygen	Atlantic	(26.75,27]	-0.9812854	-0.9864796	-0.9765085
aou + oxygen	Atlantic	(27,27.25]	-0.9799083	-0.9872626	-0.9701078
aou + oxygen	Atlantic	(27.25,27.5]	-0.9689466	-0.9778246	-0.9572462
aou + oxygen	Atlantic	(27.5,27.75]	-0.9392122	-0.9496320	-0.9191546
aou + oxygen	Atlantic	(27.75,27.85]	-0.9083724	-0.9192383	-0.8920846
aou + oxygen	Atlantic	(27.85,27.95]	-0.8966594	-0.9293441	-0.8782080
aou + oxygen	Atlantic	(27.95,28.05]	-0.9133375	-0.9180170	-0.9044895
aou + oxygen	Atlantic	(28.05,28.1]	-0.8970691	-0.9232103	-0.8719953
aou + oxygen	Atlantic	(28.1,28.15]	-0.8915788	-0.9272223	-0.8522175
aou + oxygen	Atlantic	(28.15,28.2]	-0.9764221	-0.9909993	-0.9599894
aou + oxygen	Atlantic	(28.2, Inf]	-0.9471466	-0.9669527	-0.9307337
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]	0.9177691	0.8848955	0.9684281
aou + phosphate	Atlantic	(26,26.5]	0.8807715	0.8551251	0.9008957
aou + phosphate	Atlantic	(26.5,26.75]	0.8803060	0.8654569	0.8989468
aou + phosphate	Atlantic	(26.75,27]	0.8389161	0.8198471	0.8537047
aou + phosphate	Atlantic	(27,27.25]	0.7881307	0.7299324	0.8395429
aou + phosphate	Atlantic	(27.25,27.5]	0.6754334	0.5822065	0.7614051
aou + phosphate	Atlantic	(27.5,27.75]	0.7154931	0.5963992	0.8064944
aou + phosphate	Atlantic	(27.75,27.85]	0.7880767	0.7441262	0.8480347
aou + phosphate	Atlantic	(27.85,27.95]	0.7957435	0.7623623	0.8222314
aou + phosphate	Atlantic	(27.95,28.05]	0.8689253	0.8426087	0.9042141
aou + phosphate	Atlantic	(28.05,28.1]	0.8855199	0.8672970	0.8953990
aou + phosphate	Atlantic	(28.1,28.15]	0.9296519	0.8996396	0.9520796
aou + phosphate	Atlantic	(28.15,28.2]	0.9875264	0.9779859	0.9968284
aou + phosphate	Atlantic	(28.2, Inf]	0.9119170	0.8104710	0.9726212
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]	0.5470514	0.3872764	0.7382264
aou + phosphate_star	Atlantic	(26,26.5]	0.5168933	0.4365076	0.6500050
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1802062	0.0514434	0.2941243
aou + phosphate_star	Atlantic	(26.75,27]	-0.1476879	-0.1984918	-0.0783182
aou + phosphate_star	Atlantic	(27,27.25]	-0.1004675	-0.2296308	0.0018696
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.0738844	-0.1268417	-0.0334340
aou + phosphate_star	Atlantic	(27.5,27.75]	0.2226551	0.0873090	0.3770940
aou + phosphate_star	Atlantic	(27.75,27.85]	0.4042534	0.3350881	0.4742374
aou + phosphate_star	Atlantic	(27.85,27.95]	0.4778309	0.4579117	0.5106172
aou + phosphate_star	Atlantic	(27.95,28.05]	0.6045622	0.5211773	0.7227081
aou + phosphate_star	Atlantic	(28.05,28.1]	0.6645464	0.6131058	0.7120823
aou + phosphate_star	Atlantic	(28.1,28.15]	0.7821576	0.6916340	0.8425103
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9653867	0.9375258	0.9916191
aou + phosphate_star	Atlantic	(28.2, Inf]	0.8158069	0.5794124	0.9465591
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]	0.2255121	0.0079067	0.4276402
aou + silicate	Atlantic	(26,26.5]	0.4753946	0.4528640	0.5001597
aou + silicate	Atlantic	(26.5,26.75]	0.5024805	0.4186111	0.5600119
aou + silicate	Atlantic	(26.75,27]	0.3381325	0.2938309	0.3754830
aou + silicate	Atlantic	(27,27.25]	0.3235887	0.2173071	0.4394608
aou + silicate	Atlantic	(27.25,27.5]	0.2048034	0.1503157	0.2792977
aou + silicate	Atlantic	(27.5,27.75]	0.3388170	0.2486124	0.4824591
aou + silicate	Atlantic	(27.75,27.85]	0.5105841	0.4494379	0.5874509
aou + silicate	Atlantic	(27.85,27.95]	0.5897909	0.5825650	0.6015797
aou + silicate	Atlantic	(27.95,28.05]	0.7183072	0.6470128	0.8141958
aou + silicate	Atlantic	(28.05,28.1]	0.8196023	0.7709272	0.8753830
aou + silicate	Atlantic	(28.1,28.15]	0.8535104	0.7939881	0.8833276
aou + silicate	Atlantic	(28.15,28.2]	0.9159377	0.8722366	0.9491542
aou + silicate	Atlantic	(28.2, Inf]	0.8156500	0.7722985	0.8840080
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]	-0.7722049	-0.8933979	-0.6803714
oxygen + phosphate	Atlantic	(26,26.5]	-0.6417204	-0.6989850	-0.5700263
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.7427719	-0.7958028	-0.6980560
oxygen + phosphate	Atlantic	(26.75,27]	-0.7335399	-0.7712014	-0.6934777
oxygen + phosphate	Atlantic	(27,27.25]	-0.6795661	-0.7417477	-0.5874115
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.5117453	-0.6358086	-0.3805301
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.5005866	-0.6405991	-0.3083968
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.5229993	-0.6359099	-0.4655876
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.5020131	-0.5990338	-0.4165832
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.6207118	-0.6823107	-0.5715031
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.6107976	-0.6820277	-0.5307815
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.6842786	-0.7901939	-0.5582159
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9435305	-0.9848722	-0.9001557
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7980354	-0.9053800	-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]	-0.2859425	-0.5625179	-0.0437704
oxygen + phosphate_star	Atlantic	(26,26.5]	-0.1548317	-0.3433895	-0.0214394
oxygen + phosphate_star	Atlantic	(26.5,26.75]	0.0605401	-0.0212035	0.1495770
oxygen + phosphate_star	Atlantic	(26.75,27]	0.3187897	0.2751469	0.3719626
oxygen + phosphate_star	Atlantic	(27,27.25]	0.2651592	0.1641151	0.3592482
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.2823195	0.2149590	0.3620099
oxygen + phosphate_star	Atlantic	(27.5,27.75]	0.0619578	-0.1275635	0.2514196
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.0411569	-0.1486305	0.0272079
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.0907298	-0.1473968	-0.0270155
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.2561685	-0.4092716	-0.1591980
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.2867575	-0.4128178	-0.1631530
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.4376914	-0.5996785	-0.2278002
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.8993088	-0.9722710	-0.8212553
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.6630623	-0.8569334	-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]	-0.2804511	-0.5693307	0.0298766
oxygen + silicate	Atlantic	(26,26.5]	-0.4442507	-0.5123611	-0.3806530
oxygen + silicate	Atlantic	(26.5,26.75]	-0.3287054	-0.4051934	-0.2672895
oxygen + silicate	Atlantic	(26.75,27]	-0.1872739	-0.2496287	-0.1376067
oxygen + silicate	Atlantic	(27,27.25]	-0.1901454	-0.3072904	-0.1012376
oxygen + silicate	Atlantic	(27.25,27.5]	-0.0215704	-0.1237034	0.0520812
oxygen + silicate	Atlantic	(27.5,27.75]	-0.0960770	-0.2768612	0.0533397
oxygen + silicate	Atlantic	(27.75,27.85]	-0.2047278	-0.3334524	-0.1104248
oxygen + silicate	Atlantic	(27.85,27.95]	-0.2369641	-0.3194611	-0.1746469
oxygen + silicate	Atlantic	(27.95,28.05]	-0.4088503	-0.5359643	-0.3237343
oxygen + silicate	Atlantic	(28.05,28.1]	-0.5240535	-0.6534594	-0.3999954
oxygen + silicate	Atlantic	(28.1,28.15]	-0.5981863	-0.7296363	-0.4043634
oxygen + silicate	Atlantic	(28.15,28.2]	-0.8856231	-0.9442279	-0.8060068
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7435210	-0.8497779	-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]	0.8235790	0.7619452	0.8739990
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8538677	0.8162693	0.9116752
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.6163261	0.4797097	0.7306834
phosphate + phosphate_star	Atlantic	(26.75,27]	0.4078225	0.3547240	0.5018610
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5204946	0.4027235	0.6189067
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.6748048	0.6171306	0.7242898
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.8279790	0.7974529	0.8433193
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.8715539	0.8577068	0.8849485
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9051849	0.8802734	0.9200200
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9150095	0.8804120	0.9462809
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9330318	0.9227513	0.9476552
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9539601	0.9350430	0.9642955
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9932963	0.9877758	0.9980860
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9771047	0.9426973	0.9947019
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]	-0.4807570	-0.6070029	-0.2923931
sal + aou	Atlantic	(26,26.5]	-0.4689260	-0.7093318	-0.3403281
sal + aou	Atlantic	(26.5,26.75]	-0.0835562	-0.2756087	0.1174234
sal + aou	Atlantic	(26.75,27]	0.3594648	0.2829632	0.4173636
sal + aou	Atlantic	(27,27.25]	0.5184731	0.4125184	0.6363233
sal + aou	Atlantic	(27.25,27.5]	0.3895610	0.3131964	0.4669325
sal + aou	Atlantic	(27.5,27.75]	0.3727212	0.3198757	0.4471103
sal + aou	Atlantic	(27.75,27.85]	0.5489644	0.4293538	0.6714929
sal + aou	Atlantic	(27.85,27.95]	0.4013446	0.2898406	0.4975918
sal + aou	Atlantic	(27.95,28.05]	0.0614259	-0.0365285	0.1971694
sal + aou	Atlantic	(28.05,28.1]	-0.2474140	-0.3826011	-0.1279775
sal + aou	Atlantic	(28.1,28.15]	-0.2677218	-0.4168735	-0.0703457
sal + aou	Atlantic	(28.15,28.2]	-0.8340982	-0.9825976	-0.6227102
sal + aou	Atlantic	(28.2, Inf]	0.2239049	-0.0662388	0.3967024
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]	0.2735725	-0.0440039	0.4381700
sal + oxygen	Atlantic	(26,26.5]	0.1110987	-0.0821392	0.4334099
sal + oxygen	Atlantic	(26.5,26.75]	-0.1481053	-0.3081485	0.0151389
sal + oxygen	Atlantic	(26.75,27]	-0.5182676	-0.5483290	-0.4673151
sal + oxygen	Atlantic	(27,27.25]	-0.6574681	-0.7365448	-0.6000251
sal + oxygen	Atlantic	(27.25,27.5]	-0.5825555	-0.6171189	-0.5146743
sal + oxygen	Atlantic	(27.5,27.75]	-0.6321135	-0.7257267	-0.5731844
sal + oxygen	Atlantic	(27.75,27.85]	-0.8098846	-0.8795663	-0.7466704
sal + oxygen	Atlantic	(27.85,27.95]	-0.6553892	-0.6896924	-0.5990474
sal + oxygen	Atlantic	(27.95,28.05]	-0.3221137	-0.4492232	-0.2390715
sal + oxygen	Atlantic	(28.05,28.1]	-0.1128455	-0.1790790	-0.0007798
sal + oxygen	Atlantic	(28.1,28.15]	-0.0898145	-0.3543004	0.1187525
sal + oxygen	Atlantic	(28.15,28.2]	0.7551860	0.5381407	0.9578329
sal + oxygen	Atlantic	(28.2, Inf]	-0.3231552	-0.4123946	-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]	-0.5911576	-0.6340275	-0.5206913
sal + phosphate	Atlantic	(26,26.5]	-0.7568893	-0.8820345	-0.6931442
sal + phosphate	Atlantic	(26.5,26.75]	-0.4963289	-0.6720847	-0.2929939
sal + phosphate	Atlantic	(26.75,27]	-0.1554892	-0.2673080	-0.0628963
sal + phosphate	Atlantic	(27,27.25]	0.0219492	-0.1449947	0.1328177
sal + phosphate	Atlantic	(27.25,27.5]	-0.2437432	-0.3847114	-0.0642452
sal + phosphate	Atlantic	(27.5,27.75]	-0.0820593	-0.1232065	-0.0082636
sal + phosphate	Atlantic	(27.75,27.85]	0.1654832	0.0177043	0.2547070
sal + phosphate	Atlantic	(27.85,27.95]	0.1464988	0.0690207	0.2897496
sal + phosphate	Atlantic	(27.95,28.05]	-0.1211010	-0.1690648	-0.0340227
sal + phosphate	Atlantic	(28.05,28.1]	-0.4911633	-0.6328798	-0.3338536
sal + phosphate	Atlantic	(28.1,28.15]	-0.4285159	-0.5288770	-0.2961932
sal + phosphate	Atlantic	(28.15,28.2]	-0.8398796	-0.9735598	-0.6362303
sal + phosphate	Atlantic	(28.2, Inf]	0.1287140	-0.3380895	0.3800574
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]	-0.6597604	-0.7486907	-0.5658232
sal + phosphate_star	Atlantic	(26,26.5]	-0.9129300	-0.9307995	-0.8986428
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9304383	-0.9424561	-0.9239638
sal + phosphate_star	Atlantic	(26.75,27]	-0.9147788	-0.9313755	-0.8952455
sal + phosphate_star	Atlantic	(27,27.25]	-0.7396201	-0.7808299	-0.6832665
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.7757434	-0.8730965	-0.7104130
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.5055799	-0.5523998	-0.4287965
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.2718703	-0.3733197	-0.2088597
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.1505392	-0.2161145	-0.0507683
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.3169436	-0.3229379	-0.3107189
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.6432707	-0.7733844	-0.4850686
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.5727845	-0.6392684	-0.4989990
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.8473920	-0.9720529	-0.6537096
sal + phosphate_star	Atlantic	(28.2, Inf]	0.0670166	-0.4801128	0.3641385
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]	-0.3945781	-0.5518135	-0.2528503
sal + silicate	Atlantic	(26,26.5]	-0.1098820	-0.2103658	-0.0040622
sal + silicate	Atlantic	(26.5,26.75]	-0.5191292	-0.6332296	-0.4509918
sal + silicate	Atlantic	(26.75,27]	-0.5916943	-0.6343197	-0.5222092
sal + silicate	Atlantic	(27,27.25]	-0.3841328	-0.4360389	-0.3094468
sal + silicate	Atlantic	(27.25,27.5]	-0.5488863	-0.7130889	-0.4393488
sal + silicate	Atlantic	(27.5,27.75]	-0.3121572	-0.3691549	-0.2355668
sal + silicate	Atlantic	(27.75,27.85]	-0.0710377	-0.2096745	0.0303401
sal + silicate	Atlantic	(27.85,27.95]	-0.0697742	-0.1505871	0.0688149
sal + silicate	Atlantic	(27.95,28.05]	-0.2503686	-0.2690517	-0.2149159
sal + silicate	Atlantic	(28.05,28.1]	-0.4864963	-0.5949101	-0.3404501
sal + silicate	Atlantic	(28.1,28.15]	-0.4304794	-0.4638361	-0.4048619
sal + silicate	Atlantic	(28.15,28.2]	-0.7273432	-0.8958733	-0.5614440
sal + silicate	Atlantic	(28.2, Inf]	0.1793346	-0.1678885	0.3721440
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]	0.7322318	0.5334363	0.8532303
sal + temp	Atlantic	(26,26.5]	0.9367853	0.9359667	0.9374700
sal + temp	Atlantic	(26.5,26.75]	0.9221278	0.9163278	0.9332109
sal + temp	Atlantic	(26.75,27]	0.9345618	0.9232093	0.9440641
sal + temp	Atlantic	(27,27.25]	0.9054454	0.8742524	0.9299318
sal + temp	Atlantic	(27.25,27.5]	0.9242051	0.8888882	0.9479895
sal + temp	Atlantic	(27.5,27.75]	0.8915592	0.8785103	0.8984285
sal + temp	Atlantic	(27.75,27.85]	0.8383517	0.8208474	0.8547243
sal + temp	Atlantic	(27.85,27.95]	0.6912642	0.6648200	0.7119323
sal + temp	Atlantic	(27.95,28.05]	0.6094411	0.5583316	0.6509129
sal + temp	Atlantic	(28.05,28.1]	0.7539023	0.6569191	0.8317068
sal + temp	Atlantic	(28.1,28.15]	0.7492941	0.7243670	0.7860245
sal + temp	Atlantic	(28.15,28.2]	0.8549775	0.6685893	0.9760707
sal + temp	Atlantic	(28.2, Inf]	0.0104167	-0.3209266	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]	0.0818752	-0.0663379	0.1627728
silicate + phosphate	Atlantic	(26,26.5]	0.4131243	0.3810106	0.4540027
silicate + phosphate	Atlantic	(26.5,26.75]	0.7235492	0.6477713	0.7961522
silicate + phosphate	Atlantic	(26.75,27]	0.7488374	0.7155135	0.7682068
silicate + phosphate	Atlantic	(27,27.25]	0.8106044	0.7481271	0.8460864
silicate + phosphate	Atlantic	(27.25,27.5]	0.8348249	0.8123314	0.8649045
silicate + phosphate	Atlantic	(27.5,27.75]	0.8783880	0.8344853	0.9070947
silicate + phosphate	Atlantic	(27.75,27.85]	0.9093608	0.8854615	0.9323080
silicate + phosphate	Atlantic	(27.85,27.95]	0.9236013	0.9051459	0.9442633
silicate + phosphate	Atlantic	(27.95,28.05]	0.9351929	0.9156666	0.9571523
silicate + phosphate	Atlantic	(28.05,28.1]	0.9556324	0.9520258	0.9602566
silicate + phosphate	Atlantic	(28.1,28.15]	0.9477972	0.9382417	0.9623846
silicate + phosphate	Atlantic	(28.15,28.2]	0.9419063	0.9168938	0.9656375
silicate + phosphate	Atlantic	(28.2, Inf]	0.8950221	0.8441218	0.9255722
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]	-0.1163009	-0.2328941	-0.0519792
silicate + phosphate_star	Atlantic	(26,26.5]	0.2307615	0.1409562	0.3435747
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.6976086	0.6098474	0.8125915
silicate + phosphate_star	Atlantic	(26.75,27]	0.7940113	0.7828039	0.8082712
silicate + phosphate_star	Atlantic	(27,27.25]	0.8514832	0.8462741	0.8592987
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.9166946	0.9017389	0.9376829
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9553744	0.9525962	0.9604356
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9488782	0.9434873	0.9588669
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9484312	0.9334353	0.9630204
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9466133	0.9367614	0.9575325
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9192587	0.9106305	0.9293912
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9250900	0.9088067	0.9566407
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9371393	0.9126071	0.9662166
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8591528	0.7329350	0.9267079
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]	-0.6535669	-0.7195634	-0.5386789
temp + aou	Atlantic	(26,26.5]	-0.5706188	-0.7540145	-0.4578697
temp + aou	Atlantic	(26.5,26.75]	-0.1517733	-0.2504264	-0.0068583
temp + aou	Atlantic	(26.75,27]	0.3285159	0.2194868	0.4409938
temp + aou	Atlantic	(27,27.25]	0.4499074	0.3618293	0.6178784
temp + aou	Atlantic	(27.25,27.5]	0.3911721	0.3824115	0.4029711
temp + aou	Atlantic	(27.5,27.75]	0.2057612	0.1219759	0.2937908
temp + aou	Atlantic	(27.75,27.85]	0.2031105	0.1146637	0.2960324
temp + aou	Atlantic	(27.85,27.95]	0.1361030	0.0489918	0.2696442
temp + aou	Atlantic	(27.95,28.05]	-0.0776932	-0.2823458	0.1137159
temp + aou	Atlantic	(28.05,28.1]	-0.2860788	-0.4144200	-0.1913018
temp + aou	Atlantic	(28.1,28.15]	-0.4692236	-0.5740573	-0.2811684
temp + aou	Atlantic	(28.15,28.2]	-0.9048515	-0.9622755	-0.8373525
temp + aou	Atlantic	(28.2, Inf]	-0.7496533	-0.9510977	-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]	0.3865279	0.1841742	0.5134941
temp + oxygen	Atlantic	(26,26.5]	0.2003230	0.0221588	0.4569900
temp + oxygen	Atlantic	(26.5,26.75]	-0.1002255	-0.2035241	-0.0331051
temp + oxygen	Atlantic	(26.75,27]	-0.5024635	-0.5814991	-0.4239510
temp + oxygen	Atlantic	(27,27.25]	-0.6158614	-0.7345819	-0.5363507
temp + oxygen	Atlantic	(27.25,27.5]	-0.6037940	-0.6325226	-0.5718590
temp + oxygen	Atlantic	(27.5,27.75]	-0.5229319	-0.6452912	-0.4259366
temp + oxygen	Atlantic	(27.75,27.85]	-0.5903375	-0.6571109	-0.5468244
temp + oxygen	Atlantic	(27.85,27.95]	-0.5555474	-0.6045637	-0.5158965
temp + oxygen	Atlantic	(27.95,28.05]	-0.3272139	-0.4971035	-0.1209473
temp + oxygen	Atlantic	(28.05,28.1]	-0.1597362	-0.3123978	0.0346126
temp + oxygen	Atlantic	(28.1,28.15]	0.0303863	-0.2609998	0.2271351
temp + oxygen	Atlantic	(28.15,28.2]	0.7936076	0.6512349	0.9172404
temp + oxygen	Atlantic	(28.2, Inf]	0.5301276	0.0767545	0.8413261
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]	-0.8298596	-0.9032474	-0.7802944
temp + phosphate	Atlantic	(26,26.5]	-0.8294652	-0.9107273	-0.7876299
temp + phosphate	Atlantic	(26.5,26.75]	-0.5450346	-0.6570791	-0.3912301
temp + phosphate	Atlantic	(26.75,27]	-0.1560155	-0.2974356	-0.0075981
temp + phosphate	Atlantic	(27,27.25]	-0.0518958	-0.1919583	0.1255833
temp + phosphate	Atlantic	(27.25,27.5]	-0.2594728	-0.3286285	-0.1705525
temp + phosphate	Atlantic	(27.5,27.75]	-0.3265698	-0.3934840	-0.2887322
temp + phosphate	Atlantic	(27.75,27.85]	-0.2733055	-0.3737054	-0.1752517
temp + phosphate	Atlantic	(27.85,27.95]	-0.3565841	-0.4692382	-0.2067328
temp + phosphate	Atlantic	(27.95,28.05]	-0.4875862	-0.6112519	-0.3626053
temp + phosphate	Atlantic	(28.05,28.1]	-0.6493187	-0.7118519	-0.6151111
temp + phosphate	Atlantic	(28.1,28.15]	-0.7245611	-0.7737918	-0.6459150
temp + phosphate	Atlantic	(28.15,28.2]	-0.9355812	-0.9661238	-0.8964805
temp + phosphate	Atlantic	(28.2, Inf]	-0.8449407	-0.9657246	-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]	-0.9182813	-0.9279537	-0.9009375
temp + phosphate_star	Atlantic	(26,26.5]	-0.9418144	-0.9484544	-0.9334812
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9395836	-0.9490109	-0.9336982
temp + phosphate_star	Atlantic	(26.75,27]	-0.8945403	-0.9166526	-0.8611101
temp + phosphate_star	Atlantic	(27,27.25]	-0.7934360	-0.8045271	-0.7878613
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.8116093	-0.8331827	-0.7987841
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.7175639	-0.7650806	-0.6710425
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.6608848	-0.7108142	-0.6023373
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.6843895	-0.7514045	-0.6135951
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7745104	-0.8163760	-0.7480397
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8609658	-0.8714478	-0.8464802
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8870602	-0.9052672	-0.8695548
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.9610739	-0.9765043	-0.9412569
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.8885559	-0.9686030	-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]	0.0453258	-0.0523292	0.1419390
temp + silicate	Atlantic	(26,26.5]	-0.2199874	-0.2929500	-0.1225251
temp + silicate	Atlantic	(26.5,26.75]	-0.6739744	-0.7593833	-0.6048146
temp + silicate	Atlantic	(26.75,27]	-0.5867336	-0.6437401	-0.4876544
temp + silicate	Atlantic	(27,27.25]	-0.4281850	-0.4386885	-0.4189953
temp + silicate	Atlantic	(27.25,27.5]	-0.5735487	-0.6403392	-0.5287162
temp + silicate	Atlantic	(27.5,27.75]	-0.5409787	-0.5916865	-0.4958002
temp + silicate	Atlantic	(27.75,27.85]	-0.4683670	-0.5398933	-0.3698500
temp + silicate	Atlantic	(27.85,27.95]	-0.5506699	-0.6588095	-0.4496169
temp + silicate	Atlantic	(27.95,28.05]	-0.6540692	-0.7369118	-0.6014277
temp + silicate	Atlantic	(28.05,28.1]	-0.6982609	-0.7365161	-0.6556043
temp + silicate	Atlantic	(28.1,28.15]	-0.7340475	-0.7478832	-0.7202490
temp + silicate	Atlantic	(28.15,28.2]	-0.8530532	-0.9085433	-0.8024270
temp + silicate	Atlantic	(28.2, Inf]	-0.6761737	-0.8426901	-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
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]	0.3376737	0.0348042	0.6605266
aou	Atlantic	(26,26.5]	0.1259779	-0.1110999	0.3256078
aou	Atlantic	(26.5,26.75]	0.0540217	-0.3227924	0.4934407
aou	Atlantic	(26.75,27]	-0.0276850	-0.2145187	0.2151592
aou	Atlantic	(27,27.25]	-0.3315805	-0.3508396	-0.3087840
aou	Atlantic	(27.25,27.5]	-0.2916376	-0.3158314	-0.2501205
aou	Atlantic	(27.5,27.75]	-0.5499596	-0.6942866	-0.4701342
aou	Atlantic	(27.75,27.85]	-0.7526153	-0.8281851	-0.6914437
aou	Atlantic	(27.85,27.95]	-0.6921736	-0.7336343	-0.6669540
aou	Atlantic	(27.95,28.05]	-0.7748358	-0.8471625	-0.7049185
aou	Atlantic	(28.05,28.1]	-0.8147718	-0.8375774	-0.7891726
aou	Atlantic	(28.1,28.15]	-0.8896120	-0.9187889	-0.8533530
aou	Atlantic	(28.15,28.2]	-0.9699984	-0.9886743	-0.9598933
aou	Atlantic	(28.2, Inf]	-0.8431266	-0.9477549	-0.6397779
aou	Indian	(-Inf,26]	-0.4395613	-0.7021449	-0.2865786
aou	Indian	(26,26.5]	-0.7175396	-0.9447037	-0.4713431
aou	Indian	(26.5,26.75]	-0.7889438	-0.9257487	-0.6681469
aou	Indian	(26.75,27]	-0.4971564	-0.5767361	-0.4243190
aou	Indian	(27,27.25]	-0.2237974	-0.4234096	0.0388566
aou	Indian	(27.25,27.5]	-0.0577391	-0.2564240	0.2163169
aou	Indian	(27.5,27.75]	-0.1382945	-0.5434099	0.3075877
aou	Indian	(27.75,27.85]	-0.3556900	-0.8082889	0.1853062
aou	Indian	(27.85,27.95]	-0.5594253	-0.8760806	-0.1420333
aou	Indian	(27.95,28.05]	-0.7556391	-0.9579272	-0.5861236
aou	Indian	(28.05,28.1]	-0.7807252	-0.9359263	-0.5301961
aou	Indian	(28.1, Inf]	-0.0462585	-0.2628049	0.2254363
aou	Pacific	(-Inf,26]	0.1095475	-0.0519020	0.2572587
aou	Pacific	(26,26.5]	-0.4504981	-0.5355736	-0.3362670
aou	Pacific	(26.5,26.75]	-0.6509970	-0.6805342	-0.6110018
aou	Pacific	(26.75,27]	-0.7196973	-0.8160317	-0.6208263
aou	Pacific	(27,27.25]	-0.2074370	-0.4244582	-0.0055810
aou	Pacific	(27.25,27.5]	0.1849032	-0.1496522	0.4635713
aou	Pacific	(27.5,27.75]	0.1388078	-0.2871094	0.5900490
aou	Pacific	(27.75,27.85]	0.5390035	0.3863058	0.6669240
aou	Pacific	(27.85,27.95]	0.5364790	0.4420030	0.7170522
aou	Pacific	(27.95,28.05]	0.4858108	0.3904322	0.6420764
aou	Pacific	(28.05,28.1]	0.6025833	0.5915625	0.6093947
aou	Pacific	(28.1, Inf]	0.5547033	0.3525588	0.6814776
oxygen	Atlantic	(-Inf,26]	-0.2060189	-0.5622405	0.1540926
oxygen	Atlantic	(26,26.5]	-0.0262620	-0.2078089	0.1462007
oxygen	Atlantic	(26.5,26.75]	-0.1937650	-0.5828779	0.1178505
oxygen	Atlantic	(26.75,27]	-0.0922354	-0.3269337	0.1187887
oxygen	Atlantic	(27,27.25]	0.2326068	0.2068414	0.2465376
oxygen	Atlantic	(27.25,27.5]	0.1467277	0.1012649	0.1816630
oxygen	Atlantic	(27.5,27.75]	0.3907746	0.2568632	0.5777060
oxygen	Atlantic	(27.75,27.85]	0.5706464	0.4657511	0.7142112
oxygen	Atlantic	(27.85,27.95]	0.4738710	0.4021662	0.5758332
oxygen	Atlantic	(27.95,28.05]	0.5607748	0.4607412	0.6574542
oxygen	Atlantic	(28.05,28.1]	0.5536840	0.4736660	0.6541006
oxygen	Atlantic	(28.1,28.15]	0.6827701	0.5737110	0.7768977
oxygen	Atlantic	(28.15,28.2]	0.9303613	0.8868589	0.9811607
oxygen	Atlantic	(28.2, Inf]	0.7192184	0.4504183	0.8681764
oxygen	Indian	(-Inf,26]	0.4928029	0.3427452	0.7718354
oxygen	Indian	(26,26.5]	0.7100735	0.4747192	0.9493218
oxygen	Indian	(26.5,26.75]	0.7440830	0.6403252	0.8884164
oxygen	Indian	(26.75,27]	0.3579215	0.3096612	0.4183528
oxygen	Indian	(27,27.25]	0.1290737	-0.0773930	0.3095981
oxygen	Indian	(27.25,27.5]	-0.0353858	-0.2522333	0.1457735
oxygen	Indian	(27.5,27.75]	0.0774086	-0.3071532	0.4533255
oxygen	Indian	(27.75,27.85]	0.3738320	-0.1321432	0.8273230
oxygen	Indian	(27.85,27.95]	0.5859234	0.1881632	0.9085400
oxygen	Indian	(27.95,28.05]	0.7246285	0.5559455	0.9605444
oxygen	Indian	(28.05,28.1]	0.7549402	0.4613744	0.9292037
oxygen	Indian	(28.1, Inf]	0.0354379	-0.2525395	0.2419215
oxygen	Pacific	(-Inf,26]	0.0564109	-0.1612553	0.2713543
oxygen	Pacific	(26,26.5]	0.4598937	0.3612522	0.5507005
oxygen	Pacific	(26.5,26.75]	0.6623174	0.6295569	0.6788048
oxygen	Pacific	(26.75,27]	0.7725456	0.7234371	0.8325442
oxygen	Pacific	(27,27.25]	0.2342663	0.0446128	0.4461024
oxygen	Pacific	(27.25,27.5]	-0.1630420	-0.4309671	0.1633657
oxygen	Pacific	(27.5,27.75]	-0.1464749	-0.5750274	0.2555576
oxygen	Pacific	(27.75,27.85]	-0.5304001	-0.6670845	-0.3731901
oxygen	Pacific	(27.85,27.95]	-0.5307933	-0.7165719	-0.4377021
oxygen	Pacific	(27.95,28.05]	-0.4727014	-0.6308632	-0.3720383
oxygen	Pacific	(28.05,28.1]	-0.6023124	-0.6106341	-0.5980088
oxygen	Pacific	(28.1, Inf]	-0.5524813	-0.6749259	-0.3628468
phosphate	Atlantic	(-Inf,26]	0.4384225	0.2684125	0.6474703
phosphate	Atlantic	(26,26.5]	0.1255366	-0.1388042	0.2960169
phosphate	Atlantic	(26.5,26.75]	-0.2438489	-0.6262090	0.1660563
phosphate	Atlantic	(26.75,27]	-0.4937825	-0.6225005	-0.2859082
phosphate	Atlantic	(27,27.25]	-0.7930528	-0.8113817	-0.7658926
phosphate	Atlantic	(27.25,27.5]	-0.8609543	-0.8814767	-0.8249068
phosphate	Atlantic	(27.5,27.75]	-0.9333889	-0.9471363	-0.9081696
phosphate	Atlantic	(27.75,27.85]	-0.9564086	-0.9656305	-0.9487788
phosphate	Atlantic	(27.85,27.95]	-0.9368267	-0.9411562	-0.9291783
phosphate	Atlantic	(27.95,28.05]	-0.9496927	-0.9600426	-0.9401892
phosphate	Atlantic	(28.05,28.1]	-0.9640359	-0.9767829	-0.9557502
phosphate	Atlantic	(28.1,28.15]	-0.9671852	-0.9806684	-0.9545657
phosphate	Atlantic	(28.15,28.2]	-0.9901437	-0.9964412	-0.9802638
phosphate	Atlantic	(28.2, Inf]	-0.9759202	-0.9954240	-0.9406921
phosphate	Indian	(-Inf,26]	-0.4509269	-0.6509680	-0.2896849
phosphate	Indian	(26,26.5]	-0.7544253	-0.9245705	-0.5398517
phosphate	Indian	(26.5,26.75]	-0.8747326	-0.9802244	-0.7628386
phosphate	Indian	(26.75,27]	-0.8032541	-0.8911491	-0.6432824
phosphate	Indian	(27,27.25]	-0.5168439	-0.7551681	-0.1358974
phosphate	Indian	(27.25,27.5]	-0.3273970	-0.5887826	0.0779704
phosphate	Indian	(27.5,27.75]	-0.2669547	-0.7056289	0.2713949
phosphate	Indian	(27.75,27.85]	-0.3418842	-0.7689371	0.2341304
phosphate	Indian	(27.85,27.95]	-0.5037178	-0.7746137	-0.0959829
phosphate	Indian	(27.95,28.05]	-0.7835037	-0.8632497	-0.6683856
phosphate	Indian	(28.05,28.1]	-0.8285789	-0.8954305	-0.6957672
phosphate	Indian	(28.1, Inf]	-0.4108469	-0.5207449	-0.1991377
phosphate	Pacific	(-Inf,26]	0.1370953	0.0157285	0.2364633
phosphate	Pacific	(26,26.5]	-0.5010102	-0.5834935	-0.3654215
phosphate	Pacific	(26.5,26.75]	-0.6610718	-0.7065452	-0.6159713
phosphate	Pacific	(26.75,27]	-0.7029534	-0.8309207	-0.5707215
phosphate	Pacific	(27,27.25]	-0.2962840	-0.5158159	-0.0877064
phosphate	Pacific	(27.25,27.5]	0.0560431	-0.3715352	0.4042138
phosphate	Pacific	(27.5,27.75]	-0.0922739	-0.6323776	0.5350495
phosphate	Pacific	(27.75,27.85]	0.5040679	0.3638398	0.6155408
phosphate	Pacific	(27.85,27.95]	0.5117323	0.4094636	0.6816633
phosphate	Pacific	(27.95,28.05]	0.4913179	0.4180089	0.6287496
phosphate	Pacific	(28.05,28.1]	0.5803179	0.5079831	0.6329241
phosphate	Pacific	(28.1, Inf]	0.5020559	0.3302999	0.6059135
phosphate_star	Atlantic	(-Inf,26]	0.4694975	0.3857717	0.5147710
phosphate_star	Atlantic	(26,26.5]	0.1327882	-0.0982866	0.2761371
phosphate_star	Atlantic	(26.5,26.75]	-0.6221942	-0.7619788	-0.5311725
phosphate_star	Atlantic	(26.75,27]	-0.8155478	-0.8468357	-0.7563389
phosphate_star	Atlantic	(27,27.25]	-0.7751792	-0.8170567	-0.7444792
phosphate_star	Atlantic	(27.25,27.5]	-0.8414901	-0.8585636	-0.8130339
phosphate_star	Atlantic	(27.5,27.75]	-0.8261304	-0.8431474	-0.8161892
phosphate_star	Atlantic	(27.75,27.85]	-0.7903781	-0.8347573	-0.7399115
phosphate_star	Atlantic	(27.85,27.95]	-0.8458803	-0.8615304	-0.8200872
phosphate_star	Atlantic	(27.95,28.05]	-0.8835025	-0.9106828	-0.8324192
phosphate_star	Atlantic	(28.05,28.1]	-0.9159393	-0.9411048	-0.8972119
phosphate_star	Atlantic	(28.1,28.15]	-0.9145105	-0.9447988	-0.8751013
phosphate_star	Atlantic	(28.15,28.2]	-0.9848732	-0.9946076	-0.9756958
phosphate_star	Atlantic	(28.2, Inf]	-0.9788937	-0.9935664	-0.9524778
phosphate_star	Indian	(-Inf,26]	-0.3036175	-0.4165829	-0.1296024
phosphate_star	Indian	(26,26.5]	-0.5521789	-0.6583973	-0.4423476
phosphate_star	Indian	(26.5,26.75]	-0.5068297	-0.5624768	-0.4343901
phosphate_star	Indian	(26.75,27]	-0.6567280	-0.7401886	-0.5237713
phosphate_star	Indian	(27,27.25]	-0.4609503	-0.6379259	-0.3721589
phosphate_star	Indian	(27.25,27.5]	-0.4745918	-0.6643617	-0.3433117
phosphate_star	Indian	(27.5,27.75]	-0.2550267	-0.5215186	-0.0765274
phosphate_star	Indian	(27.75,27.85]	0.2808542	-0.0227098	0.6737270
phosphate_star	Indian	(27.85,27.95]	0.4447652	0.2875164	0.7527317
phosphate_star	Indian	(27.95,28.05]	0.2295088	-0.0959463	0.8419604
phosphate_star	Indian	(28.05,28.1]	0.2973876	-0.3323249	0.7720670
phosphate_star	Indian	(28.1, Inf]	-0.3939808	-0.7704490	-0.1145353
phosphate_star	Pacific	(-Inf,26]	0.2942517	0.2620440	0.3140093
phosphate_star	Pacific	(26,26.5]	-0.3574023	-0.5140535	-0.1634305
phosphate_star	Pacific	(26.5,26.75]	-0.3369965	-0.3905189	-0.2377693
phosphate_star	Pacific	(26.75,27]	-0.1985662	-0.3574288	0.0506885
phosphate_star	Pacific	(27,27.25]	-0.1941446	-0.2383592	-0.1246894
phosphate_star	Pacific	(27.25,27.5]	-0.3953554	-0.6132673	-0.2565521
phosphate_star	Pacific	(27.5,27.75]	-0.6571644	-0.8778670	-0.3527384
phosphate_star	Pacific	(27.75,27.85]	-0.2206638	-0.3374551	-0.1355499
phosphate_star	Pacific	(27.85,27.95]	-0.1479982	-0.2170804	-0.0124919
phosphate_star	Pacific	(27.95,28.05]	0.0772828	-0.0634395	0.2916721
phosphate_star	Pacific	(28.05,28.1]	-0.0994123	-0.3568799	0.0490595
phosphate_star	Pacific	(28.1, Inf]	-0.5053366	-0.5904652	-0.3386646
sal	Atlantic	(-Inf,26]	0.0323383	-0.1163709	0.2631347
sal	Atlantic	(26,26.5]	-0.2090648	-0.3650509	0.0076251
sal	Atlantic	(26.5,26.75]	0.5017223	0.3777307	0.5985997
sal	Atlantic	(26.75,27]	0.5921755	0.4433886	0.7042745
sal	Atlantic	(27,27.25]	0.2078872	0.1993032	0.2176000
sal	Atlantic	(27.25,27.5]	0.3676081	0.2618738	0.5330240
sal	Atlantic	(27.5,27.75]	-0.0368983	-0.1402399	0.0512725
sal	Atlantic	(27.75,27.85]	-0.3499590	-0.4902254	-0.1727324
sal	Atlantic	(27.85,27.95]	-0.3626258	-0.5129757	-0.2720494
sal	Atlantic	(27.95,28.05]	-0.1042711	-0.2193500	-0.0338278
sal	Atlantic	(28.05,28.1]	0.3444809	0.1194625	0.5852178
sal	Atlantic	(28.1,28.15]	0.2314862	0.0447983	0.3956400
sal	Atlantic	(28.15,28.2]	0.7719086	0.4876382	0.9534985
sal	Atlantic	(28.2, Inf]	-0.1833696	-0.4480848	0.2955735
sal	Indian	(-Inf,26]	0.6717655	0.5756923	0.8430462
sal	Indian	(26,26.5]	0.7119391	0.5412803	0.8799077
sal	Indian	(26.5,26.75]	0.6098634	0.4718629	0.7590587
sal	Indian	(26.75,27]	0.7103086	0.6352997	0.7937680
sal	Indian	(27,27.25]	0.5562096	0.3699757	0.7823078
sal	Indian	(27.25,27.5]	0.4881593	0.1896584	0.8266438
sal	Indian	(27.5,27.75]	0.2908395	-0.1973251	0.8624370
sal	Indian	(27.75,27.85]	-0.0244326	-0.7337536	0.8199221
sal	Indian	(27.85,27.95]	-0.2452054	-0.7940724	0.4927686
sal	Indian	(27.95,28.05]	-0.5098044	-0.9083585	-0.2582869
sal	Indian	(28.05,28.1]	-0.6592021	-0.8751535	-0.3486380
sal	Indian	(28.1, Inf]	-0.2265065	-0.4551874	0.1972729
sal	Pacific	(-Inf,26]	-0.1228331	-0.2346495	-0.0441358
sal	Pacific	(26,26.5]	0.0703935	-0.0853886	0.2089905
sal	Pacific	(26.5,26.75]	-0.0080027	-0.1118315	0.1342914
sal	Pacific	(26.75,27]	-0.1675696	-0.4055792	-0.0149702
sal	Pacific	(27,27.25]	-0.4925856	-0.6046727	-0.4098646
sal	Pacific	(27.25,27.5]	-0.8546307	-0.8917113	-0.8261100
sal	Pacific	(27.5,27.75]	-0.6357826	-0.7147422	-0.5140429
sal	Pacific	(27.75,27.85]	-0.1475804	-0.3149571	0.0644901
sal	Pacific	(27.85,27.95]	0.0578169	-0.1299948	0.2418243
sal	Pacific	(27.95,28.05]	0.2168416	0.0883833	0.3336223
sal	Pacific	(28.05,28.1]	0.1862077	0.0148100	0.3422679
sal	Pacific	(28.1, Inf]	0.2773604	0.0157812	0.4173649
silicate	Atlantic	(-Inf,26]	-0.7218203	-0.8638924	-0.5488507
silicate	Atlantic	(26,26.5]	-0.6018349	-0.7748140	-0.4054839
silicate	Atlantic	(26.5,26.75]	-0.6143310	-0.8322651	-0.3687692
silicate	Atlantic	(26.75,27]	-0.8381953	-0.8881584	-0.7618436
silicate	Atlantic	(27,27.25]	-0.9325249	-0.9370832	-0.9238024
silicate	Atlantic	(27.25,27.5]	-0.9402503	-0.9492908	-0.9329721
silicate	Atlantic	(27.5,27.75]	-0.9043036	-0.9092279	-0.8981013
silicate	Atlantic	(27.75,27.85]	-0.8638157	-0.8777822	-0.8452316
silicate	Atlantic	(27.85,27.95]	-0.8395136	-0.8543447	-0.8204265
silicate	Atlantic	(27.95,28.05]	-0.8699187	-0.8953584	-0.8368726
silicate	Atlantic	(28.05,28.1]	-0.9187320	-0.9367456	-0.9078672
silicate	Atlantic	(28.1,28.15]	-0.9099723	-0.9160838	-0.9011505
silicate	Atlantic	(28.15,28.2]	-0.9396464	-0.9737580	-0.9189229
silicate	Atlantic	(28.2, Inf]	-0.8212421	-0.9122560	-0.6605775
silicate	Indian	(-Inf,26]	-0.6131336	-0.7507561	-0.4680500
silicate	Indian	(26,26.5]	-0.8507827	-0.9753014	-0.6836403
silicate	Indian	(26.5,26.75]	-0.9195380	-0.9740115	-0.8422682
silicate	Indian	(26.75,27]	-0.8391661	-0.9063685	-0.7320234
silicate	Indian	(27,27.25]	-0.6195874	-0.7830021	-0.3262310
silicate	Indian	(27.25,27.5]	-0.4316516	-0.6613038	-0.0789927
silicate	Indian	(27.5,27.75]	-0.3799071	-0.7473797	0.0613795
silicate	Indian	(27.75,27.85]	-0.3843858	-0.7361581	0.0552995
silicate	Indian	(27.85,27.95]	-0.5239867	-0.7385691	-0.2246793
silicate	Indian	(27.95,28.05]	-0.7574974	-0.8618619	-0.6829862
silicate	Indian	(28.05,28.1]	-0.8189061	-0.8547701	-0.7672984
silicate	Indian	(28.1, Inf]	-0.5919652	-0.7732411	-0.3501627
silicate	Pacific	(-Inf,26]	0.0480111	-0.0359009	0.1230275
silicate	Pacific	(26,26.5]	-0.6166020	-0.6924729	-0.5147838
silicate	Pacific	(26.5,26.75]	-0.6439300	-0.7028794	-0.5845883
silicate	Pacific	(26.75,27]	-0.5579935	-0.6891372	-0.3566052
silicate	Pacific	(27,27.25]	-0.2121962	-0.4133780	0.0211794
silicate	Pacific	(27.25,27.5]	0.1791269	-0.1892880	0.5115308
silicate	Pacific	(27.5,27.75]	0.0144391	-0.4874772	0.6094357
silicate	Pacific	(27.75,27.85]	0.5392662	0.3935398	0.6665214
silicate	Pacific	(27.85,27.95]	0.5519492	0.4499715	0.7199922
silicate	Pacific	(27.95,28.05]	0.6361240	0.5546144	0.7976563
silicate	Pacific	(28.05,28.1]	0.6097281	0.5292926	0.6499862
silicate	Pacific	(28.1, Inf]	0.3992426	0.2322079	0.4834125
temp	Atlantic	(-Inf,26]	-0.5165020	-0.5366026	-0.4950059
temp	Atlantic	(26,26.5]	-0.2632595	-0.3891645	-0.0591958
temp	Atlantic	(26.5,26.75]	0.5438157	0.4530539	0.7193746
temp	Atlantic	(26.75,27]	0.5637732	0.4110343	0.6526779
temp	Atlantic	(27,27.25]	0.2615642	0.2147319	0.3329193
temp	Atlantic	(27.25,27.5]	0.3880392	0.3284489	0.4463392
temp	Atlantic	(27.5,27.75]	0.2251985	0.1618944	0.2712809
temp	Atlantic	(27.75,27.85]	0.0880192	-0.0605420	0.2217112
temp	Atlantic	(27.85,27.95]	0.2323855	0.0888043	0.3554669
temp	Atlantic	(27.95,28.05]	0.4322827	0.3026508	0.5456906
temp	Atlantic	(28.05,28.1]	0.6257725	0.5983742	0.6432863
temp	Atlantic	(28.1,28.15]	0.6559713	0.5509332	0.7112330
temp	Atlantic	(28.15,28.2]	0.9163681	0.8753451	0.9502718
temp	Atlantic	(28.2, Inf]	0.8443142	0.6872140	0.9589368
temp	Indian	(-Inf,26]	-0.1673860	-0.2662844	-0.0688098
temp	Indian	(26,26.5]	0.2234708	-0.0414762	0.4180259
temp	Indian	(26.5,26.75]	0.2527751	0.0874290	0.4324350
temp	Indian	(26.75,27]	0.5319305	0.2829645	0.6639269
temp	Indian	(27,27.25]	0.3537103	0.1601729	0.5603637
temp	Indian	(27.25,27.5]	0.4128010	0.2586618	0.6316290
temp	Indian	(27.5,27.75]	0.2065322	0.0451375	0.4886347
temp	Indian	(27.75,27.85]	-0.3612795	-0.6861736	-0.0985852
temp	Indian	(27.85,27.95]	-0.5443654	-0.8314984	-0.3777634
temp	Indian	(27.95,28.05]	-0.3511535	-0.8118772	-0.0066273
temp	Indian	(28.05,28.1]	-0.4802000	-0.7880658	-0.0495136
temp	Indian	(28.1, Inf]	0.0442878	-0.1445916	0.3372248
temp	Pacific	(-Inf,26]	-0.4865221	-0.5236939	-0.4331780
temp	Pacific	(26,26.5]	0.0977075	-0.1007516	0.2091751
temp	Pacific	(26.5,26.75]	0.0695920	-0.0719665	0.1737406
temp	Pacific	(26.75,27]	-0.0809703	-0.3539775	0.0570787
temp	Pacific	(27,27.25]	-0.1451805	-0.2349392	-0.0831815
temp	Pacific	(27.25,27.5]	-0.1259537	-0.1426081	-0.1028077
temp	Pacific	(27.5,27.75]	0.1611878	0.1400239	0.1781198
temp	Pacific	(27.75,27.85]	0.1969585	0.0726221	0.3537533
temp	Pacific	(27.85,27.95]	0.2319349	0.1305526	0.3330194
temp	Pacific	(27.95,28.05]	0.1446442	0.0405897	0.2002803
temp	Pacific	(28.05,28.1]	0.3967903	0.3000393	0.5430599
temp	Pacific	(28.1, Inf]	0.4730198	0.3887084	0.5316206

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_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  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

05 January, 2021