Last updated: 2020-12-19

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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.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))))
)
}

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")

# 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]	-0.9458193	-0.9571461	-0.9243177
aou + oxygen	Atlantic	(26,26.5]	-0.8842638	-0.9116646	-0.8379710
aou + oxygen	Atlantic	(26.5,26.75]	-0.9565355	-0.9740203	-0.9469965
aou + oxygen	Atlantic	(26.75,27]	-0.9762971	-0.9800897	-0.9692709
aou + oxygen	Atlantic	(27,27.25]	-0.9726948	-0.9784929	-0.9611251
aou + oxygen	Atlantic	(27.25,27.5]	-0.9411758	-0.9546968	-0.9221031
aou + oxygen	Atlantic	(27.5,27.75]	-0.9237710	-0.9433230	-0.9032870
aou + oxygen	Atlantic	(27.75,27.85]	-0.9696566	-0.9769603	-0.9605659
aou + oxygen	Atlantic	(27.85,27.95]	-0.9879147	-0.9902831	-0.9865453
aou + oxygen	Atlantic	(27.95,28.05]	-0.9879611	-0.9905980	-0.9846951
aou + oxygen	Atlantic	(28.05,28.1]	-0.9887890	-0.9935655	-0.9829956
aou + oxygen	Atlantic	(28.1,28.15]	-0.9934868	-0.9954174	-0.9923959
aou + oxygen	Atlantic	(28.15,28.2]	-0.9976966	-0.9987352	-0.9965443
aou + oxygen	Atlantic	(28.2, Inf]	-0.9829473	-0.9875809	-0.9751212
aou + oxygen	Indian	(-Inf,26]	-0.9925430	-0.9952067	-0.9894940
aou + oxygen	Indian	(26,26.5]	-0.9972684	-0.9979837	-0.9967587
aou + oxygen	Indian	(26.5,26.75]	-0.9973892	-0.9977816	-0.9967660
aou + oxygen	Indian	(26.75,27]	-0.9896750	-0.9970024	-0.9777727
aou + oxygen	Indian	(27,27.25]	-0.9946410	-0.9960089	-0.9927718
aou + oxygen	Indian	(27.25,27.5]	-0.9955789	-0.9959348	-0.9948817
aou + oxygen	Indian	(27.5,27.75]	-0.9960469	-0.9963707	-0.9958107
aou + oxygen	Indian	(27.75,27.85]	-0.9969928	-0.9979152	-0.9960605
aou + oxygen	Indian	(27.85,27.95]	-0.9927490	-0.9958379	-0.9896330
aou + oxygen	Indian	(27.95,28.05]	-0.9901199	-0.9917989	-0.9868208
aou + oxygen	Indian	(28.05,28.1]	-0.9900604	-0.9953294	-0.9868570
aou + oxygen	Indian	(28.1, Inf]	-0.9900443	-0.9931374	-0.9880571
aou + oxygen	Pacific	(-Inf,26]	-0.8783515	-0.9013838	-0.8544940
aou + oxygen	Pacific	(26,26.5]	-0.9836192	-0.9872007	-0.9775421
aou + oxygen	Pacific	(26.5,26.75]	-0.9879346	-0.9917424	-0.9836811
aou + oxygen	Pacific	(26.75,27]	-0.9809441	-0.9815907	-0.9805897
aou + oxygen	Pacific	(27,27.25]	-0.9936987	-0.9942863	-0.9927908
aou + oxygen	Pacific	(27.25,27.5]	-0.9957021	-0.9964240	-0.9947710
aou + oxygen	Pacific	(27.5,27.75]	-0.9943163	-0.9953261	-0.9931357
aou + oxygen	Pacific	(27.75,27.85]	-0.9981108	-0.9989642	-0.9975905
aou + oxygen	Pacific	(27.85,27.95]	-0.9985005	-0.9992768	-0.9980344
aou + oxygen	Pacific	(27.95,28.05]	-0.9978044	-0.9982757	-0.9970190
aou + oxygen	Pacific	(28.05,28.1]	-0.9974631	-0.9979513	-0.9968159
aou + oxygen	Pacific	(28.1, Inf]	-0.9914891	-0.9942912	-0.9884941
aou + phosphate	Atlantic	(-Inf,26]	0.4537325	0.0958277	0.7451969
aou + phosphate	Atlantic	(26,26.5]	0.6623719	0.5745865	0.7577255
aou + phosphate	Atlantic	(26.5,26.75]	0.8573482	0.8239214	0.9194043
aou + phosphate	Atlantic	(26.75,27]	0.8534365	0.8042820	0.8880181
aou + phosphate	Atlantic	(27,27.25]	0.8333455	0.7813969	0.8816526
aou + phosphate	Atlantic	(27.25,27.5]	0.7216188	0.6521519	0.7929094
aou + phosphate	Atlantic	(27.5,27.75]	0.8478028	0.8194643	0.8662362
aou + phosphate	Atlantic	(27.75,27.85]	0.9350341	0.9232027	0.9492132
aou + phosphate	Atlantic	(27.85,27.95]	0.9517892	0.9428599	0.9606375
aou + phosphate	Atlantic	(27.95,28.05]	0.9607439	0.9474241	0.9833390
aou + phosphate	Atlantic	(28.05,28.1]	0.9674983	0.9507817	0.9826263
aou + phosphate	Atlantic	(28.1,28.15]	0.9807278	0.9780953	0.9850749
aou + phosphate	Atlantic	(28.15,28.2]	0.9906782	0.9877474	0.9945984
aou + phosphate	Atlantic	(28.2, Inf]	0.8307717	0.6755631	0.9354880
aou + phosphate	Indian	(-Inf,26]	0.9938336	0.9914405	0.9958333
aou + phosphate	Indian	(26,26.5]	0.9952553	0.9930896	0.9971531
aou + phosphate	Indian	(26.5,26.75]	0.9835486	0.9752223	0.9936540
aou + phosphate	Indian	(26.75,27]	0.9178368	0.8301232	0.9763381
aou + phosphate	Indian	(27,27.25]	0.9209035	0.8726480	0.9648131
aou + phosphate	Indian	(27.25,27.5]	0.9397849	0.9252537	0.9558739
aou + phosphate	Indian	(27.5,27.75]	0.9490081	0.9328737	0.9589637
aou + phosphate	Indian	(27.75,27.85]	0.8979034	0.8367615	0.9584376
aou + phosphate	Indian	(27.85,27.95]	0.8736104	0.8312135	0.9378737
aou + phosphate	Indian	(27.95,28.05]	0.7856058	0.6693796	0.9156671
aou + phosphate	Indian	(28.05,28.1]	0.7618125	0.6280239	0.9265725
aou + phosphate	Indian	(28.1, Inf]	0.4402696	0.1353794	0.6553951
aou + phosphate	Pacific	(-Inf,26]	0.9059003	0.8816530	0.9451003
aou + phosphate	Pacific	(26,26.5]	0.9494518	0.9458754	0.9544235
aou + phosphate	Pacific	(26.5,26.75]	0.9405974	0.9345582	0.9474685
aou + phosphate	Pacific	(26.75,27]	0.9305490	0.9230913	0.9409345
aou + phosphate	Pacific	(27,27.25]	0.9798559	0.9772773	0.9816397
aou + phosphate	Pacific	(27.25,27.5]	0.9773999	0.9690531	0.9818751
aou + phosphate	Pacific	(27.5,27.75]	0.9608457	0.9558124	0.9703580
aou + phosphate	Pacific	(27.75,27.85]	0.9821145	0.9718280	0.9873337
aou + phosphate	Pacific	(27.85,27.95]	0.9827406	0.9727454	0.9885631
aou + phosphate	Pacific	(27.95,28.05]	0.9745304	0.9594204	0.9846784
aou + phosphate	Pacific	(28.05,28.1]	0.9630493	0.9448838	0.9755248
aou + phosphate	Pacific	(28.1, Inf]	0.8856427	0.8040582	0.9387551
aou + phosphate_star	Atlantic	(-Inf,26]	-0.2153791	-0.5541604	0.3419467
aou + phosphate_star	Atlantic	(26,26.5]	0.2399408	0.0474356	0.3755527
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4561804	0.3682119	0.5972135
aou + phosphate_star	Atlantic	(26.75,27]	0.2678408	0.1836095	0.3723851
aou + phosphate_star	Atlantic	(27,27.25]	0.3006090	0.1885836	0.4556864
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2261164	0.1645978	0.3393760
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5529736	0.5127358	0.5923666
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7107633	0.6639714	0.7364134
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7035168	0.6913978	0.7265704
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8137139	0.7309559	0.9132546
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8781470	0.8245251	0.9311796
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9257354	0.9178128	0.9414552
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9683344	0.9571325	0.9841597
aou + phosphate_star	Atlantic	(28.2, Inf]	0.5369831	0.1354873	0.7987665
aou + phosphate_star	Indian	(-Inf,26]	0.9420848	0.9407313	0.9445617
aou + phosphate_star	Indian	(26,26.5]	0.9415007	0.9102918	0.9739166
aou + phosphate_star	Indian	(26.5,26.75]	0.7663535	0.7049372	0.8595112
aou + phosphate_star	Indian	(26.75,27]	0.1478850	0.1100774	0.1767838
aou + phosphate_star	Indian	(27,27.25]	-0.5274805	-0.5567820	-0.5111680
aou + phosphate_star	Indian	(27.25,27.5]	-0.8229411	-0.8436137	-0.8100095
aou + phosphate_star	Indian	(27.5,27.75]	-0.8934278	-0.9031501	-0.8838043
aou + phosphate_star	Indian	(27.75,27.85]	-0.7073174	-0.7620994	-0.6534473
aou + phosphate_star	Indian	(27.85,27.95]	-0.4628971	-0.5940868	-0.3103541
aou + phosphate_star	Indian	(27.95,28.05]	-0.3736516	-0.7222234	0.0579765
aou + phosphate_star	Indian	(28.05,28.1]	-0.2551331	-0.6238369	0.3163144
aou + phosphate_star	Indian	(28.1, Inf]	-0.7702546	-0.8535834	-0.6105616
aou + phosphate_star	Pacific	(-Inf,26]	0.5789328	0.5066467	0.7217226
aou + phosphate_star	Pacific	(26,26.5]	0.5114734	0.4452185	0.5780252
aou + phosphate_star	Pacific	(26.5,26.75]	0.1741783	-0.0001340	0.3449649
aou + phosphate_star	Pacific	(26.75,27]	0.1848158	0.1528223	0.2386312
aou + phosphate_star	Pacific	(27,27.25]	0.2049401	0.1835777	0.2401252
aou + phosphate_star	Pacific	(27.25,27.5]	-0.3638194	-0.4170021	-0.2636251
aou + phosphate_star	Pacific	(27.5,27.75]	-0.2941097	-0.6458826	0.1748714
aou + phosphate_star	Pacific	(27.75,27.85]	-0.6404437	-0.6558395	-0.6119423
aou + phosphate_star	Pacific	(27.85,27.95]	-0.3261778	-0.4056829	-0.2048344
aou + phosphate_star	Pacific	(27.95,28.05]	0.2012202	0.0533155	0.3104815
aou + phosphate_star	Pacific	(28.05,28.1]	0.4368035	0.3078536	0.5119466
aou + phosphate_star	Pacific	(28.1, Inf]	-0.4378332	-0.5606316	-0.3667898
aou + silicate	Atlantic	(-Inf,26]	0.1575937	-0.1927484	0.5790385
aou + silicate	Atlantic	(26,26.5]	0.5921228	0.5110809	0.6777951
aou + silicate	Atlantic	(26.5,26.75]	0.8749698	0.8456967	0.9163579
aou + silicate	Atlantic	(26.75,27]	0.8614163	0.8141913	0.8946459
aou + silicate	Atlantic	(27,27.25]	0.8060701	0.7618866	0.8728368
aou + silicate	Atlantic	(27.25,27.5]	0.5485961	0.4792323	0.6871007
aou + silicate	Atlantic	(27.5,27.75]	0.6463206	0.6280768	0.6635279
aou + silicate	Atlantic	(27.75,27.85]	0.8430669	0.8242433	0.8597334
aou + silicate	Atlantic	(27.85,27.95]	0.8968018	0.8886798	0.9028777
aou + silicate	Atlantic	(27.95,28.05]	0.9442972	0.9348762	0.9555247
aou + silicate	Atlantic	(28.05,28.1]	0.9693651	0.9604392	0.9770917
aou + silicate	Atlantic	(28.1,28.15]	0.9786937	0.9775664	0.9794695
aou + silicate	Atlantic	(28.15,28.2]	0.9910071	0.9895455	0.9937068
aou + silicate	Atlantic	(28.2, Inf]	0.8470336	0.7432408	0.9148023
aou + silicate	Indian	(-Inf,26]	0.9284081	0.8527858	0.9768449
aou + silicate	Indian	(26,26.5]	0.9525156	0.9048997	0.9962615
aou + silicate	Indian	(26.5,26.75]	0.9645164	0.9283481	0.9927638
aou + silicate	Indian	(26.75,27]	0.9647757	0.9530737	0.9801764
aou + silicate	Indian	(27,27.25]	0.9362353	0.8986309	0.9595332
aou + silicate	Indian	(27.25,27.5]	0.8971221	0.8424309	0.9373348
aou + silicate	Indian	(27.5,27.75]	0.8808714	0.7931842	0.9470670
aou + silicate	Indian	(27.75,27.85]	0.9035454	0.8755387	0.9437537
aou + silicate	Indian	(27.85,27.95]	0.8598284	0.8412530	0.8915540
aou + silicate	Indian	(27.95,28.05]	0.8422314	0.7948810	0.9091111
aou + silicate	Indian	(28.05,28.1]	0.8983956	0.8704209	0.9444155
aou + silicate	Indian	(28.1, Inf]	0.4629522	0.2804106	0.6455992
aou + silicate	Pacific	(-Inf,26]	0.6126563	0.5346275	0.7194576
aou + silicate	Pacific	(26,26.5]	0.5601272	0.5156228	0.6066101
aou + silicate	Pacific	(26.5,26.75]	0.4185496	0.2989031	0.5254721
aou + silicate	Pacific	(26.75,27]	0.5936312	0.5381009	0.6603004
aou + silicate	Pacific	(27,27.25]	0.8789941	0.8592016	0.9089152
aou + silicate	Pacific	(27.25,27.5]	0.9062914	0.8875583	0.9339918
aou + silicate	Pacific	(27.5,27.75]	0.9267253	0.9011979	0.9429425
aou + silicate	Pacific	(27.75,27.85]	0.9677689	0.9622790	0.9709692
aou + silicate	Pacific	(27.85,27.95]	0.9611672	0.9559288	0.9656185
aou + silicate	Pacific	(27.95,28.05]	0.9370013	0.9297503	0.9431200
aou + silicate	Pacific	(28.05,28.1]	0.9334894	0.9147266	0.9473558
aou + silicate	Pacific	(28.1, Inf]	0.6609870	0.5766806	0.7560045
oxygen + phosphate	Atlantic	(-Inf,26]	-0.2423078	-0.5249271	0.1110048
oxygen + phosphate	Atlantic	(26,26.5]	-0.2645605	-0.4448873	-0.1673982
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.6747336	-0.8093176	-0.6058538
oxygen + phosphate	Atlantic	(26.75,27]	-0.7235252	-0.7810600	-0.6360177
oxygen + phosphate	Atlantic	(27,27.25]	-0.6859654	-0.7673783	-0.5827021
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.4526339	-0.5799858	-0.3150763
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.6004406	-0.6682440	-0.5190638
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.8291371	-0.8680295	-0.8033905
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.9003469	-0.9204211	-0.8857683
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.9202292	-0.9606761	-0.8953744
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.9293694	-0.9658848	-0.8873098
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.9580974	-0.9705446	-0.9503696
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9851659	-0.9935877	-0.9800637
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7424054	-0.8815214	-0.5321432
oxygen + phosphate	Indian	(-Inf,26]	-0.9798904	-0.9851517	-0.9696964
oxygen + phosphate	Indian	(26,26.5]	-0.9871733	-0.9907596	-0.9825703
oxygen + phosphate	Indian	(26.5,26.75]	-0.9699559	-0.9869619	-0.9548721
oxygen + phosphate	Indian	(26.75,27]	-0.8553795	-0.9602640	-0.6968290
oxygen + phosphate	Indian	(27,27.25]	-0.8794406	-0.9433905	-0.8095215
oxygen + phosphate	Indian	(27.25,27.5]	-0.9085157	-0.9291740	-0.8890298
oxygen + phosphate	Indian	(27.5,27.75]	-0.9328194	-0.9466419	-0.9108015
oxygen + phosphate	Indian	(27.75,27.85]	-0.8738795	-0.9468757	-0.7971953
oxygen + phosphate	Indian	(27.85,27.95]	-0.8201066	-0.9120561	-0.7544792
oxygen + phosphate	Indian	(27.95,28.05]	-0.7028461	-0.8668411	-0.5742155
oxygen + phosphate	Indian	(28.05,28.1]	-0.6740783	-0.8978351	-0.5045392
oxygen + phosphate	Indian	(28.1, Inf]	-0.3298803	-0.5498417	0.0030960
oxygen + phosphate	Pacific	(-Inf,26]	-0.6793638	-0.7531775	-0.5968468
oxygen + phosphate	Pacific	(26,26.5]	-0.8853536	-0.8985435	-0.8646994
oxygen + phosphate	Pacific	(26.5,26.75]	-0.8834904	-0.9053784	-0.8627645
oxygen + phosphate	Pacific	(26.75,27]	-0.8485510	-0.8649799	-0.8367603
oxygen + phosphate	Pacific	(27,27.25]	-0.9573186	-0.9608809	-0.9535584
oxygen + phosphate	Pacific	(27.25,27.5]	-0.9703943	-0.9733713	-0.9646224
oxygen + phosphate	Pacific	(27.5,27.75]	-0.9696435	-0.9755250	-0.9650469
oxygen + phosphate	Pacific	(27.75,27.85]	-0.9809051	-0.9895476	-0.9674744
oxygen + phosphate	Pacific	(27.85,27.95]	-0.9805818	-0.9896494	-0.9672713
oxygen + phosphate	Pacific	(27.95,28.05]	-0.9669466	-0.9789548	-0.9473689
oxygen + phosphate	Pacific	(28.05,28.1]	-0.9507417	-0.9650766	-0.9292569
oxygen + phosphate	Pacific	(28.1, Inf]	-0.8342053	-0.9033181	-0.7314244
oxygen + phosphate_star	Atlantic	(-Inf,26]	0.4419931	-0.0397274	0.7258723
oxygen + phosphate_star	Atlantic	(26,26.5]	0.2147492	0.0192686	0.3760138
oxygen + phosphate_star	Atlantic	(26.5,26.75]	-0.1845266	-0.4034488	-0.0585057
oxygen + phosphate_star	Atlantic	(26.75,27]	-0.0577243	-0.1831655	0.0611927
oxygen + phosphate_star	Atlantic	(27,27.25]	-0.0777151	-0.2646934	0.0161744
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.1078715	-0.0482755	0.2241931
oxygen + phosphate_star	Atlantic	(27.5,27.75]	-0.2120377	-0.2628093	-0.1166284
oxygen + phosphate_star	Atlantic	(27.75,27.85]	-0.5286510	-0.5845345	-0.4795427
oxygen + phosphate_star	Atlantic	(27.85,27.95]	-0.5958203	-0.6356716	-0.5722150
oxygen + phosphate_star	Atlantic	(27.95,28.05]	-0.7338541	-0.8638819	-0.6428347
oxygen + phosphate_star	Atlantic	(28.05,28.1]	-0.8106614	-0.8979440	-0.7182041
oxygen + phosphate_star	Atlantic	(28.1,28.15]	-0.8845501	-0.9136147	-0.8687892
oxygen + phosphate_star	Atlantic	(28.15,28.2]	-0.9574705	-0.9815685	-0.9416282
oxygen + phosphate_star	Atlantic	(28.2, Inf]	-0.4111931	-0.7098734	0.0505669
oxygen + phosphate_star	Indian	(-Inf,26]	-0.9038763	-0.9209966	-0.8837452
oxygen + phosphate_star	Indian	(26,26.5]	-0.9173863	-0.9581342	-0.8784079
oxygen + phosphate_star	Indian	(26.5,26.75]	-0.7226209	-0.8306276	-0.6583697
oxygen + phosphate_star	Indian	(26.75,27]	-0.0215376	-0.0535033	0.0312482
oxygen + phosphate_star	Indian	(27,27.25]	0.6071551	0.5937867	0.6188999
oxygen + phosphate_star	Indian	(27.25,27.5]	0.8686753	0.8560041	0.8873650
oxygen + phosphate_star	Indian	(27.5,27.75]	0.9187109	0.9087070	0.9261191
oxygen + phosphate_star	Indian	(27.75,27.85]	0.7456900	0.7063065	0.7943482
oxygen + phosphate_star	Indian	(27.85,27.95]	0.5496477	0.3787667	0.6761307
oxygen + phosphate_star	Indian	(27.95,28.05]	0.4812088	0.0544913	0.8017748
oxygen + phosphate_star	Indian	(28.05,28.1]	0.3592962	-0.2449503	0.7344759
oxygen + phosphate_star	Indian	(28.1, Inf]	0.8429532	0.7131741	0.9184895
oxygen + phosphate_star	Pacific	(-Inf,26]	-0.1907473	-0.3866582	-0.0537133
oxygen + phosphate_star	Pacific	(26,26.5]	-0.3613339	-0.4038832	-0.3083689
oxygen + phosphate_star	Pacific	(26.5,26.75]	-0.0328146	-0.1808760	0.1441331
oxygen + phosphate_star	Pacific	(26.75,27]	0.0006826	-0.0525873	0.0307522
oxygen + phosphate_star	Pacific	(27,27.25]	-0.1073372	-0.1379572	-0.0876163
oxygen + phosphate_star	Pacific	(27.25,27.5]	0.4079079	0.2994803	0.4647889
oxygen + phosphate_star	Pacific	(27.5,27.75]	0.2771704	-0.2340291	0.6766393
oxygen + phosphate_star	Pacific	(27.75,27.85]	0.6517730	0.6339070	0.6734718
oxygen + phosphate_star	Pacific	(27.85,27.95]	0.3415229	0.2024518	0.4266270
oxygen + phosphate_star	Pacific	(27.95,28.05]	-0.1645014	-0.2760510	-0.0068720
oxygen + phosphate_star	Pacific	(28.05,28.1]	-0.3940161	-0.4727907	-0.2601047
oxygen + phosphate_star	Pacific	(28.1, Inf]	0.5318988	0.4537100	0.6577271
oxygen + silicate	Atlantic	(-Inf,26]	0.0512001	-0.3842042	0.3845408
oxygen + silicate	Atlantic	(26,26.5]	-0.2164501	-0.4024521	-0.0885189
oxygen + silicate	Atlantic	(26.5,26.75]	-0.7182100	-0.8227535	-0.6590117
oxygen + silicate	Atlantic	(26.75,27]	-0.7545323	-0.8031178	-0.6826182
oxygen + silicate	Atlantic	(27,27.25]	-0.6650209	-0.7671611	-0.5740157
oxygen + silicate	Atlantic	(27.25,27.5]	-0.2622958	-0.4607116	-0.1316335
oxygen + silicate	Atlantic	(27.5,27.75]	-0.3632248	-0.3757087	-0.3443686
oxygen + silicate	Atlantic	(27.75,27.85]	-0.7153140	-0.7386784	-0.6732635
oxygen + silicate	Atlantic	(27.85,27.95]	-0.8267206	-0.8436497	-0.8101174
oxygen + silicate	Atlantic	(27.95,28.05]	-0.8890648	-0.9116911	-0.8769319
oxygen + silicate	Atlantic	(28.05,28.1]	-0.9270444	-0.9512979	-0.8991089
oxygen + silicate	Atlantic	(28.1,28.15]	-0.9539618	-0.9568982	-0.9519545
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9859601	-0.9911993	-0.9819444
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7593740	-0.8524293	-0.6069309
oxygen + silicate	Indian	(-Inf,26]	-0.8981435	-0.9441616	-0.8109790
oxygen + silicate	Indian	(26,26.5]	-0.9389319	-0.9922979	-0.8796100
oxygen + silicate	Indian	(26.5,26.75]	-0.9529277	-0.9837545	-0.9097245
oxygen + silicate	Indian	(26.75,27]	-0.9468211	-0.9685704	-0.9333497
oxygen + silicate	Indian	(27,27.25]	-0.9064675	-0.9281212	-0.8663580
oxygen + silicate	Indian	(27.25,27.5]	-0.8589001	-0.9066332	-0.7924139
oxygen + silicate	Indian	(27.5,27.75]	-0.8457270	-0.9228973	-0.7439252
oxygen + silicate	Indian	(27.75,27.85]	-0.8841956	-0.9240610	-0.8546243
oxygen + silicate	Indian	(27.85,27.95]	-0.8114240	-0.8648893	-0.7838352
oxygen + silicate	Indian	(27.95,28.05]	-0.7752459	-0.8660706	-0.7259296
oxygen + silicate	Indian	(28.05,28.1]	-0.8410655	-0.9249420	-0.7956432
oxygen + silicate	Indian	(28.1, Inf]	-0.3573522	-0.5724494	-0.1583134
oxygen + silicate	Pacific	(-Inf,26]	-0.2765007	-0.4229424	-0.2002797
oxygen + silicate	Pacific	(26,26.5]	-0.4393552	-0.4694885	-0.3993817
oxygen + silicate	Pacific	(26.5,26.75]	-0.2974198	-0.3866072	-0.1756602
oxygen + silicate	Pacific	(26.75,27]	-0.4433088	-0.5181389	-0.3778295
oxygen + silicate	Pacific	(27,27.25]	-0.8291547	-0.8670514	-0.8067155
oxygen + silicate	Pacific	(27.25,27.5]	-0.8709114	-0.9070075	-0.8495400
oxygen + silicate	Pacific	(27.5,27.75]	-0.8947933	-0.9150217	-0.8643592
oxygen + silicate	Pacific	(27.75,27.85]	-0.9582871	-0.9647818	-0.9489267
oxygen + silicate	Pacific	(27.85,27.95]	-0.9515618	-0.9565922	-0.9430563
oxygen + silicate	Pacific	(27.95,28.05]	-0.9185789	-0.9286368	-0.9074173
oxygen + silicate	Pacific	(28.05,28.1]	-0.9133160	-0.9273952	-0.8920270
oxygen + silicate	Pacific	(28.1, Inf]	-0.5754641	-0.6900293	-0.4727373
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.7217038	0.5296283	0.8713292
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8810173	0.8430342	0.9131698
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8464124	0.8296591	0.8639643
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7278102	0.6951673	0.7569547
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7733109	0.6948563	0.8214448
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8347686	0.8083603	0.8542697
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9077686	0.8934117	0.9204542
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9120055	0.8985646	0.9272038
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8855247	0.8781125	0.8915952
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9400538	0.9079902	0.9697723
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9691369	0.9581693	0.9812866
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9810485	0.9787541	0.9846579
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9927623	0.9897434	0.9968822
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9067412	0.8186624	0.9583135
phosphate + phosphate_star	Indian	(-Inf,26]	0.9705860	0.9662574	0.9742052
phosphate + phosphate_star	Indian	(26,26.5]	0.9688209	0.9519372	0.9881141
phosphate + phosphate_star	Indian	(26.5,26.75]	0.8672850	0.8261151	0.9094214
phosphate + phosphate_star	Indian	(26.75,27]	0.4931223	0.3195174	0.6951124
phosphate + phosphate_star	Indian	(27,27.25]	-0.1673801	-0.3233363	-0.0270571
phosphate + phosphate_star	Indian	(27.25,27.5]	-0.5839174	-0.6145972	-0.5593606
phosphate + phosphate_star	Indian	(27.5,27.75]	-0.7160447	-0.7438495	-0.6785981
phosphate + phosphate_star	Indian	(27.75,27.85]	-0.3404175	-0.4797221	-0.1356860
phosphate + phosphate_star	Indian	(27.85,27.95]	0.0084120	-0.0885921	0.0797722
phosphate + phosphate_star	Indian	(27.95,28.05]	0.2300296	0.0288877	0.4506084
phosphate + phosphate_star	Indian	(28.05,28.1]	0.3773362	0.2153538	0.6468424
phosphate + phosphate_star	Indian	(28.1, Inf]	0.1967531	-0.0014077	0.3982871
phosphate + phosphate_star	Pacific	(-Inf,26]	0.8470593	0.8100456	0.8978766
phosphate + phosphate_star	Pacific	(26,26.5]	0.7513289	0.7037849	0.8087376
phosphate + phosphate_star	Pacific	(26.5,26.75]	0.4905089	0.3385473	0.6533199
phosphate + phosphate_star	Pacific	(26.75,27]	0.5273187	0.4749692	0.5908146
phosphate + phosphate_star	Pacific	(27,27.25]	0.3898837	0.3683365	0.4177175
phosphate + phosphate_star	Pacific	(27.25,27.5]	-0.1765462	-0.2494432	-0.0373504
phosphate + phosphate_star	Pacific	(27.5,27.75]	-0.0548706	-0.4600174	0.4420833
phosphate + phosphate_star	Pacific	(27.75,27.85]	-0.4960702	-0.5392433	-0.4176404
phosphate + phosphate_star	Pacific	(27.85,27.95]	-0.1574994	-0.2631869	-0.0598217
phosphate + phosphate_star	Pacific	(27.95,28.05]	0.4058461	0.3266467	0.4663889
phosphate + phosphate_star	Pacific	(28.05,28.1]	0.6572800	0.5984225	0.7058939
phosphate + phosphate_star	Pacific	(28.1, Inf]	0.0064640	-0.0275669	0.0325848
sal + aou	Atlantic	(-Inf,26]	0.1634785	-0.3353857	0.4917688
sal + aou	Atlantic	(26,26.5]	-0.1018944	-0.2200124	0.0553314
sal + aou	Atlantic	(26.5,26.75]	-0.3404948	-0.4730116	-0.2674648
sal + aou	Atlantic	(26.75,27]	-0.2223292	-0.3346819	-0.1361701
sal + aou	Atlantic	(27,27.25]	-0.3148635	-0.4815332	-0.1988615
sal + aou	Atlantic	(27.25,27.5]	-0.2158765	-0.3438307	-0.1346413
sal + aou	Atlantic	(27.5,27.75]	-0.4198519	-0.4772569	-0.3552506
sal + aou	Atlantic	(27.75,27.85]	-0.4219487	-0.4576195	-0.3706199
sal + aou	Atlantic	(27.85,27.95]	-0.3280020	-0.3466973	-0.2925019
sal + aou	Atlantic	(27.95,28.05]	-0.5322652	-0.6739424	-0.3231540
sal + aou	Atlantic	(28.05,28.1]	-0.7361335	-0.8018260	-0.6638557
sal + aou	Atlantic	(28.1,28.15]	-0.8451641	-0.8697808	-0.8214575
sal + aou	Atlantic	(28.15,28.2]	-0.9450733	-0.9784593	-0.9263997
sal + aou	Atlantic	(28.2, Inf]	-0.5798792	-0.8383679	-0.1928215
sal + aou	Indian	(-Inf,26]	-0.7855226	-0.9770891	-0.5630589
sal + aou	Indian	(26,26.5]	-0.7683208	-0.9753419	-0.5069429
sal + aou	Indian	(26.5,26.75]	-0.4428401	-0.7512329	-0.0959418
sal + aou	Indian	(26.75,27]	0.2667561	-0.0968067	0.5791682
sal + aou	Indian	(27,27.25]	0.8314123	0.8020018	0.8772788
sal + aou	Indian	(27.25,27.5]	0.9231362	0.8241684	0.9759566
sal + aou	Indian	(27.5,27.75]	0.9426962	0.9011423	0.9689412
sal + aou	Indian	(27.75,27.85]	0.9078014	0.8548135	0.9542393
sal + aou	Indian	(27.85,27.95]	0.8011247	0.6909369	0.8795675
sal + aou	Indian	(27.95,28.05]	0.6535064	0.5168492	0.7952620
sal + aou	Indian	(28.05,28.1]	0.4442909	0.0342474	0.7164454
sal + aou	Indian	(28.1, Inf]	0.7486695	0.6374940	0.8615975
sal + aou	Pacific	(-Inf,26]	-0.0654057	-0.1410386	-0.0201230
sal + aou	Pacific	(26,26.5]	0.1242848	-0.1099679	0.2548721
sal + aou	Pacific	(26.5,26.75]	0.2929829	0.0129913	0.4841300
sal + aou	Pacific	(26.75,27]	0.0456659	-0.0824856	0.1211363
sal + aou	Pacific	(27,27.25]	-0.1707702	-0.2399728	-0.0943802
sal + aou	Pacific	(27.25,27.5]	0.0683263	-0.0024565	0.1852258
sal + aou	Pacific	(27.5,27.75]	0.2830093	0.1400318	0.5301517
sal + aou	Pacific	(27.75,27.85]	-0.2307093	-0.4711074	0.0122331
sal + aou	Pacific	(27.85,27.95]	-0.4532296	-0.7559996	-0.2453678
sal + aou	Pacific	(27.95,28.05]	-0.5873065	-0.7884191	-0.3797734
sal + aou	Pacific	(28.05,28.1]	-0.6969545	-0.8562773	-0.5438457
sal + aou	Pacific	(28.1, Inf]	-0.2566761	-0.5485702	-0.0018649
sal + oxygen	Atlantic	(-Inf,26]	-0.4245326	-0.6921949	-0.0021106
sal + oxygen	Atlantic	(26,26.5]	-0.3535387	-0.4694149	-0.1860573
sal + oxygen	Atlantic	(26.5,26.75]	0.0592088	-0.0482461	0.2641555
sal + oxygen	Atlantic	(26.75,27]	0.0121694	-0.1077029	0.1446474
sal + oxygen	Atlantic	(27,27.25]	0.0942838	-0.0078697	0.2943349
sal + oxygen	Atlantic	(27.25,27.5]	-0.1139971	-0.2153612	0.0565499
sal + oxygen	Atlantic	(27.5,27.75]	0.0573413	-0.0653266	0.1210068
sal + oxygen	Atlantic	(27.75,27.85]	0.1960273	0.1461389	0.2412771
sal + oxygen	Atlantic	(27.85,27.95]	0.1881198	0.1424850	0.2215866
sal + oxygen	Atlantic	(27.95,28.05]	0.4186661	0.2016592	0.5858833
sal + oxygen	Atlantic	(28.05,28.1]	0.6364957	0.5223255	0.7397033
sal + oxygen	Atlantic	(28.1,28.15]	0.7814941	0.7475354	0.8210772
sal + oxygen	Atlantic	(28.15,28.2]	0.9231098	0.8991302	0.9683437
sal + oxygen	Atlantic	(28.2, Inf]	0.4541193	-0.0021086	0.7510085
sal + oxygen	Indian	(-Inf,26]	0.7691840	0.5132861	0.9852040
sal + oxygen	Indian	(26,26.5]	0.7311428	0.4446857	0.9636681
sal + oxygen	Indian	(26.5,26.75]	0.3847084	0.0330081	0.6979433
sal + oxygen	Indian	(26.75,27]	-0.3876400	-0.6365607	-0.1104928
sal + oxygen	Indian	(27,27.25]	-0.8793370	-0.9175578	-0.8571372
sal + oxygen	Indian	(27.25,27.5]	-0.9465174	-0.9884127	-0.8680057
sal + oxygen	Indian	(27.5,27.75]	-0.9476798	-0.9686563	-0.9230071
sal + oxygen	Indian	(27.75,27.85]	-0.9220660	-0.9618165	-0.8768389
sal + oxygen	Indian	(27.85,27.95]	-0.8428870	-0.9043549	-0.7503987
sal + oxygen	Indian	(27.95,28.05]	-0.7383418	-0.8564349	-0.6070247
sal + oxygen	Indian	(28.05,28.1]	-0.5458598	-0.8122353	-0.1242063
sal + oxygen	Indian	(28.1, Inf]	-0.8075190	-0.8971138	-0.7320324
sal + oxygen	Pacific	(-Inf,26]	-0.3365823	-0.3973610	-0.2157659
sal + oxygen	Pacific	(26,26.5]	-0.2849959	-0.3972009	-0.0882004
sal + oxygen	Pacific	(26.5,26.75]	-0.4289471	-0.6053117	-0.1878178
sal + oxygen	Pacific	(26.75,27]	-0.2324618	-0.3085316	-0.1085040
sal + oxygen	Pacific	(27,27.25]	0.0658097	-0.0096263	0.1413228
sal + oxygen	Pacific	(27.25,27.5]	-0.1439648	-0.2589038	-0.0662317
sal + oxygen	Pacific	(27.5,27.75]	-0.3565936	-0.6104007	-0.2039840
sal + oxygen	Pacific	(27.75,27.85]	0.1868476	-0.0695286	0.4483793
sal + oxygen	Pacific	(27.85,27.95]	0.4269183	0.2029533	0.7567132
sal + oxygen	Pacific	(27.95,28.05]	0.5645347	0.3382223	0.7823582
sal + oxygen	Pacific	(28.05,28.1]	0.6621824	0.4889841	0.8406107
sal + oxygen	Pacific	(28.1, Inf]	0.1684845	-0.0882501	0.4724880
sal + phosphate	Atlantic	(-Inf,26]	-0.6238592	-0.7630951	-0.5128903
sal + phosphate	Atlantic	(26,26.5]	-0.7777599	-0.8019902	-0.7577213
sal + phosphate	Atlantic	(26.5,26.75]	-0.7598822	-0.7715699	-0.7538134
sal + phosphate	Atlantic	(26.75,27]	-0.6837633	-0.7208561	-0.6428832
sal + phosphate	Atlantic	(27,27.25]	-0.7721879	-0.8295871	-0.6921628
sal + phosphate	Atlantic	(27.25,27.5]	-0.8106399	-0.8369071	-0.7654153
sal + phosphate	Atlantic	(27.5,27.75]	-0.7860519	-0.8159915	-0.7652507
sal + phosphate	Atlantic	(27.75,27.85]	-0.6702435	-0.7069990	-0.6468307
sal + phosphate	Atlantic	(27.85,27.95]	-0.5595622	-0.5894835	-0.5359927
sal + phosphate	Atlantic	(27.95,28.05]	-0.6940674	-0.7740906	-0.5559919
sal + phosphate	Atlantic	(28.05,28.1]	-0.8415343	-0.8572609	-0.8249594
sal + phosphate	Atlantic	(28.1,28.15]	-0.9064106	-0.9098284	-0.8997346
sal + phosphate	Atlantic	(28.15,28.2]	-0.9567366	-0.9730464	-0.9414677
sal + phosphate	Atlantic	(28.2, Inf]	-0.9094735	-0.9643185	-0.8161744
sal + phosphate	Indian	(-Inf,26]	-0.7915584	-0.9654574	-0.5739553
sal + phosphate	Indian	(26,26.5]	-0.7979335	-0.9866185	-0.5354407
sal + phosphate	Indian	(26.5,26.75]	-0.5466996	-0.8759061	-0.1464527
sal + phosphate	Indian	(26.75,27]	-0.0493719	-0.6209015	0.4602030
sal + phosphate	Indian	(27,27.25]	0.5928769	0.4174420	0.7163866
sal + phosphate	Indian	(27.25,27.5]	0.7957570	0.7084063	0.8508951
sal + phosphate	Indian	(27.5,27.75]	0.8603239	0.8324236	0.8983295
sal + phosphate	Indian	(27.75,27.85]	0.7025439	0.4804058	0.8906037
sal + phosphate	Indian	(27.85,27.95]	0.4788128	0.2238727	0.7255127
sal + phosphate	Indian	(27.95,28.05]	0.1182504	0.0517306	0.1924099
sal + phosphate	Indian	(28.05,28.1]	-0.1328082	-0.2384086	-0.0754313
sal + phosphate	Indian	(28.1, Inf]	-0.0617958	-0.1985480	0.0519978
sal + phosphate	Pacific	(-Inf,26]	-0.2063904	-0.2571093	-0.1723919
sal + phosphate	Pacific	(26,26.5]	-0.1212503	-0.3643447	0.0047471
sal + phosphate	Pacific	(26.5,26.75]	0.0149462	-0.2874327	0.2081159
sal + phosphate	Pacific	(26.75,27]	-0.2663967	-0.4036252	-0.1891264
sal + phosphate	Pacific	(27,27.25]	-0.2895720	-0.3764946	-0.2057789
sal + phosphate	Pacific	(27.25,27.5]	0.0692213	-0.0277647	0.1784817
sal + phosphate	Pacific	(27.5,27.75]	0.3987379	0.1463531	0.7075888
sal + phosphate	Pacific	(27.75,27.85]	-0.2094196	-0.4104304	-0.0049051
sal + phosphate	Pacific	(27.85,27.95]	-0.4636290	-0.7223579	-0.3006100
sal + phosphate	Pacific	(27.95,28.05]	-0.6505545	-0.8206749	-0.4932328
sal + phosphate	Pacific	(28.05,28.1]	-0.7665324	-0.8936081	-0.6506432
sal + phosphate	Pacific	(28.1, Inf]	-0.5143377	-0.7345418	-0.3610243
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8969743	-0.9323857	-0.8614792
sal + phosphate_star	Atlantic	(26,26.5]	-0.9618777	-0.9706984	-0.9553463
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9759877	-0.9797387	-0.9727395
sal + phosphate_star	Atlantic	(26.75,27]	-0.9816746	-0.9845090	-0.9770374
sal + phosphate_star	Atlantic	(27,27.25]	-0.9843128	-0.9858821	-0.9834002
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9775629	-0.9797053	-0.9756494
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9325331	-0.9392663	-0.9209789
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8766043	-0.8865938	-0.8709660
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8340613	-0.8396063	-0.8305291
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8495940	-0.8982409	-0.8010624
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9139926	-0.9205703	-0.9068810
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9479712	-0.9524339	-0.9407405
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9634054	-0.9725188	-0.9487572
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9774905	-0.9842099	-0.9641965
sal + phosphate_star	Indian	(-Inf,26]	-0.7816244	-0.8900318	-0.6276921
sal + phosphate_star	Indian	(26,26.5]	-0.8657471	-0.9905708	-0.6590623
sal + phosphate_star	Indian	(26.5,26.75]	-0.7720239	-0.9916187	-0.4213739
sal + phosphate_star	Indian	(26.75,27]	-0.7811191	-0.9760112	-0.5138155
sal + phosphate_star	Indian	(27,27.25]	-0.8299140	-0.9058682	-0.7488909
sal + phosphate_star	Indian	(27.25,27.5]	-0.9011385	-0.9281982	-0.8830535
sal + phosphate_star	Indian	(27.5,27.75]	-0.8965483	-0.9117965	-0.8692308
sal + phosphate_star	Indian	(27.75,27.85]	-0.8203560	-0.8756481	-0.7506152
sal + phosphate_star	Indian	(27.85,27.95]	-0.7577264	-0.8653000	-0.5666755
sal + phosphate_star	Indian	(27.95,28.05]	-0.8656376	-0.9649073	-0.7015463
sal + phosphate_star	Indian	(28.05,28.1]	-0.8885132	-0.9779690	-0.7400516
sal + phosphate_star	Indian	(28.1, Inf]	-0.8843945	-0.9014065	-0.8593231
sal + phosphate_star	Pacific	(-Inf,26]	-0.5235693	-0.5559883	-0.5048550
sal + phosphate_star	Pacific	(26,26.5]	-0.6523693	-0.7668544	-0.5550043
sal + phosphate_star	Pacific	(26.5,26.75]	-0.7804649	-0.8403483	-0.7284193
sal + phosphate_star	Pacific	(26.75,27]	-0.8805293	-0.8959753	-0.8683536
sal + phosphate_star	Pacific	(27,27.25]	-0.7867905	-0.8118468	-0.7718361
sal + phosphate_star	Pacific	(27.25,27.5]	-0.3298223	-0.4043379	-0.1985742
sal + phosphate_star	Pacific	(27.5,27.75]	0.2033091	-0.2799079	0.6386200
sal + phosphate_star	Pacific	(27.75,27.85]	0.0584917	-0.2647289	0.4662129
sal + phosphate_star	Pacific	(27.85,27.95]	-0.0318418	-0.2972619	0.3341912
sal + phosphate_star	Pacific	(27.95,28.05]	-0.4941636	-0.5421048	-0.4664100
sal + phosphate_star	Pacific	(28.05,28.1]	-0.6653392	-0.6974568	-0.6401242
sal + phosphate_star	Pacific	(28.1, Inf]	-0.4990367	-0.5440563	-0.4249188
sal + silicate	Atlantic	(-Inf,26]	-0.7565509	-0.7969850	-0.6760531
sal + silicate	Atlantic	(26,26.5]	-0.7444275	-0.8386870	-0.6917845
sal + silicate	Atlantic	(26.5,26.75]	-0.6743990	-0.7018353	-0.6587874
sal + silicate	Atlantic	(26.75,27]	-0.5674705	-0.6349907	-0.5256251
sal + silicate	Atlantic	(27,27.25]	-0.7274679	-0.7716372	-0.6720139
sal + silicate	Atlantic	(27.25,27.5]	-0.8068495	-0.8196585	-0.7976154
sal + silicate	Atlantic	(27.5,27.75]	-0.7605931	-0.7983717	-0.7204497
sal + silicate	Atlantic	(27.75,27.85]	-0.6900413	-0.7147962	-0.6562372
sal + silicate	Atlantic	(27.85,27.95]	-0.6395042	-0.6481259	-0.6287393
sal + silicate	Atlantic	(27.95,28.05]	-0.7350989	-0.8187120	-0.5952319
sal + silicate	Atlantic	(28.05,28.1]	-0.8557417	-0.8881626	-0.8178273
sal + silicate	Atlantic	(28.1,28.15]	-0.9129589	-0.9337085	-0.8926163
sal + silicate	Atlantic	(28.15,28.2]	-0.9502149	-0.9773822	-0.9350732
sal + silicate	Atlantic	(28.2, Inf]	-0.8751772	-0.9782900	-0.7319075
sal + silicate	Indian	(-Inf,26]	-0.8985703	-0.9541684	-0.8521932
sal + silicate	Indian	(26,26.5]	-0.8636631	-0.9796211	-0.7272138
sal + silicate	Indian	(26.5,26.75]	-0.5648109	-0.8015748	-0.3440426
sal + silicate	Indian	(26.75,27]	0.1788905	-0.1378319	0.4199044
sal + silicate	Indian	(27,27.25]	0.6441747	0.5605770	0.7382320
sal + silicate	Indian	(27.25,27.5]	0.7146170	0.4835765	0.8543879
sal + silicate	Indian	(27.5,27.75]	0.7668099	0.5507687	0.8920284
sal + silicate	Indian	(27.75,27.85]	0.8067622	0.7828598	0.8221312
sal + silicate	Indian	(27.85,27.95]	0.6356668	0.5480635	0.7468665
sal + silicate	Indian	(27.95,28.05]	0.3463637	0.2617607	0.4595107
sal + silicate	Indian	(28.05,28.1]	0.1614480	-0.1035490	0.3710048
sal + silicate	Indian	(28.1, Inf]	0.1032053	-0.1205222	0.3211273
sal + silicate	Pacific	(-Inf,26]	-0.6241946	-0.6326475	-0.6134679
sal + silicate	Pacific	(26,26.5]	-0.5401893	-0.6441283	-0.4603347
sal + silicate	Pacific	(26.5,26.75]	-0.6015947	-0.7100987	-0.5304632
sal + silicate	Pacific	(26.75,27]	-0.6997329	-0.7175429	-0.6792389
sal + silicate	Pacific	(27,27.25]	-0.5450068	-0.5549114	-0.5256445
sal + silicate	Pacific	(27.25,27.5]	-0.2216992	-0.2709669	-0.1647346
sal + silicate	Pacific	(27.5,27.75]	0.1571503	-0.0302366	0.4115590
sal + silicate	Pacific	(27.75,27.85]	-0.2441778	-0.4177270	-0.0640352
sal + silicate	Pacific	(27.85,27.95]	-0.4198318	-0.6587288	-0.2701083
sal + silicate	Pacific	(27.95,28.05]	-0.5414763	-0.7050841	-0.3952830
sal + silicate	Pacific	(28.05,28.1]	-0.6843726	-0.7931993	-0.5886578
sal + silicate	Pacific	(28.1, Inf]	-0.5022474	-0.7498526	-0.2878363
sal + temp	Atlantic	(-Inf,26]	0.8930751	0.8588183	0.9429951
sal + temp	Atlantic	(26,26.5]	0.9657447	0.9608489	0.9728465
sal + temp	Atlantic	(26.5,26.75]	0.9889228	0.9880722	0.9903076
sal + temp	Atlantic	(26.75,27]	0.9812662	0.9774513	0.9842785
sal + temp	Atlantic	(27,27.25]	0.9801975	0.9788009	0.9822617
sal + temp	Atlantic	(27.25,27.5]	0.9758399	0.9747358	0.9765390
sal + temp	Atlantic	(27.5,27.75]	0.9691782	0.9633559	0.9731084
sal + temp	Atlantic	(27.75,27.85]	0.9800432	0.9785246	0.9811217
sal + temp	Atlantic	(27.85,27.95]	0.9449580	0.9415549	0.9474787
sal + temp	Atlantic	(27.95,28.05]	0.8942479	0.8682537	0.9202711
sal + temp	Atlantic	(28.05,28.1]	0.9594559	0.9548355	0.9661162
sal + temp	Atlantic	(28.1,28.15]	0.9558137	0.9437635	0.9635143
sal + temp	Atlantic	(28.15,28.2]	0.8958478	0.8855044	0.9026793
sal + temp	Atlantic	(28.2, Inf]	0.3012972	0.1404009	0.6113778
sal + temp	Indian	(-Inf,26]	0.5132413	0.4588252	0.5622458
sal + temp	Indian	(26,26.5]	0.8893607	0.8573640	0.9224295
sal + temp	Indian	(26.5,26.75]	0.9325245	0.9178808	0.9431598
sal + temp	Indian	(26.75,27]	0.9669541	0.9531552	0.9797263
sal + temp	Indian	(27,27.25]	0.9342623	0.9084287	0.9577201
sal + temp	Indian	(27.25,27.5]	0.9318985	0.9129899	0.9591015
sal + temp	Indian	(27.5,27.75]	0.8618700	0.7841634	0.9325225
sal + temp	Indian	(27.75,27.85]	0.9089731	0.8624499	0.9477963
sal + temp	Indian	(27.85,27.95]	0.8839717	0.8289541	0.9148494
sal + temp	Indian	(27.95,28.05]	0.9383838	0.9115668	0.9530009
sal + temp	Indian	(28.05,28.1]	0.9503036	0.9047747	0.9754324
sal + temp	Indian	(28.1, Inf]	0.9000509	0.8764653	0.9148806
sal + temp	Pacific	(-Inf,26]	0.7909931	0.7515415	0.8685303
sal + temp	Pacific	(26,26.5]	0.9110239	0.8754561	0.9296680
sal + temp	Pacific	(26.5,26.75]	0.9716767	0.9656652	0.9751806
sal + temp	Pacific	(26.75,27]	0.9714311	0.9674496	0.9766913
sal + temp	Pacific	(27,27.25]	0.9367135	0.9318706	0.9435944
sal + temp	Pacific	(27.25,27.5]	0.8147444	0.7972806	0.8299207
sal + temp	Pacific	(27.5,27.75]	0.7661745	0.6697556	0.8830940
sal + temp	Pacific	(27.75,27.85]	0.7253744	0.5995928	0.8114501
sal + temp	Pacific	(27.85,27.95]	0.5215649	0.2992391	0.6459582
sal + temp	Pacific	(27.95,28.05]	0.3799800	0.2380484	0.5285389
sal + temp	Pacific	(28.05,28.1]	0.3265661	0.2311720	0.4441301
sal + temp	Pacific	(28.1, Inf]	0.1266257	-0.1386336	0.3227559
silicate + phosphate	Atlantic	(-Inf,26]	0.7690364	0.7493279	0.7854727
silicate + phosphate	Atlantic	(26,26.5]	0.9203796	0.8818059	0.9676558
silicate + phosphate	Atlantic	(26.5,26.75]	0.9670838	0.9607083	0.9742673
silicate + phosphate	Atlantic	(26.75,27]	0.9459240	0.9146346	0.9655096
silicate + phosphate	Atlantic	(27,27.25]	0.9570518	0.9516840	0.9655555
silicate + phosphate	Atlantic	(27.25,27.5]	0.9130155	0.8941648	0.9314970
silicate + phosphate	Atlantic	(27.5,27.75]	0.8979692	0.8877539	0.9156237
silicate + phosphate	Atlantic	(27.75,27.85]	0.9506608	0.9409399	0.9654296
silicate + phosphate	Atlantic	(27.85,27.95]	0.9704744	0.9656031	0.9770937
silicate + phosphate	Atlantic	(27.95,28.05]	0.9792213	0.9751574	0.9842770
silicate + phosphate	Atlantic	(28.05,28.1]	0.9875793	0.9874920	0.9877106
silicate + phosphate	Atlantic	(28.1,28.15]	0.9937085	0.9932042	0.9941104
silicate + phosphate	Atlantic	(28.15,28.2]	0.9939223	0.9912772	0.9976198
silicate + phosphate	Atlantic	(28.2, Inf]	0.9745235	0.9468958	0.9937540
silicate + phosphate	Indian	(-Inf,26]	0.9407835	0.8670851	0.9913476
silicate + phosphate	Indian	(26,26.5]	0.9598599	0.9213651	0.9957615
silicate + phosphate	Indian	(26.5,26.75]	0.9659889	0.9426172	0.9861938
silicate + phosphate	Indian	(26.75,27]	0.9107126	0.8306495	0.9514695
silicate + phosphate	Indian	(27,27.25]	0.9414105	0.9197583	0.9541485
silicate + phosphate	Indian	(27.25,27.5]	0.9352993	0.8790585	0.9784673
silicate + phosphate	Indian	(27.5,27.75]	0.8872742	0.7909350	0.9575325
silicate + phosphate	Indian	(27.75,27.85]	0.8824715	0.8701836	0.8953708
silicate + phosphate	Indian	(27.85,27.95]	0.8829985	0.8399737	0.9048808
silicate + phosphate	Indian	(27.95,28.05]	0.8933497	0.8311783	0.9359555
silicate + phosphate	Indian	(28.05,28.1]	0.9089845	0.8470389	0.9591777
silicate + phosphate	Indian	(28.1, Inf]	0.7626836	0.7521940	0.7748604
silicate + phosphate	Pacific	(-Inf,26]	0.7033186	0.6162538	0.8031138
silicate + phosphate	Pacific	(26,26.5]	0.6830321	0.6356794	0.7189812
silicate + phosphate	Pacific	(26.5,26.75]	0.5855482	0.4807077	0.6888054
silicate + phosphate	Pacific	(26.75,27]	0.7551031	0.7298412	0.8027336
silicate + phosphate	Pacific	(27,27.25]	0.8969446	0.8808913	0.9266244
silicate + phosphate	Pacific	(27.25,27.5]	0.8707585	0.8469327	0.9107457
silicate + phosphate	Pacific	(27.5,27.75]	0.8563960	0.8431556	0.8682076
silicate + phosphate	Pacific	(27.75,27.85]	0.9433093	0.9346856	0.9491874
silicate + phosphate	Pacific	(27.85,27.95]	0.9576662	0.9510968	0.9620016
silicate + phosphate	Pacific	(27.95,28.05]	0.9452991	0.9357957	0.9507989
silicate + phosphate	Pacific	(28.05,28.1]	0.9353157	0.9280556	0.9453413
silicate + phosphate	Pacific	(28.1, Inf]	0.7872980	0.7076486	0.8602433
silicate + phosphate_star	Atlantic	(-Inf,26]	0.7377353	0.6581797	0.7932154
silicate + phosphate_star	Atlantic	(26,26.5]	0.8210662	0.7724010	0.9140053
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7711030	0.7430541	0.7999104
silicate + phosphate_star	Atlantic	(26.75,27]	0.6211474	0.5797044	0.6795739
silicate + phosphate_star	Atlantic	(27,27.25]	0.7349707	0.6845300	0.7698348
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8570013	0.8367447	0.8684533
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9094381	0.8963880	0.9244866
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9207914	0.9047784	0.9331453
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9102967	0.9057407	0.9158444
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9310338	0.8944868	0.9677549
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9512629	0.9323042	0.9709490
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9738199	0.9672028	0.9846025
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9820213	0.9752288	0.9945257
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8627068	0.7052927	0.9666011
silicate + phosphate_star	Indian	(-Inf,26]	0.9424525	0.9015421	0.9795843
silicate + phosphate_star	Indian	(26,26.5]	0.9457061	0.9174967	0.9774230
silicate + phosphate_star	Indian	(26.5,26.75]	0.8112577	0.7396864	0.9104703
silicate + phosphate_star	Indian	(26.75,27]	0.2200180	0.2184764	0.2220433
silicate + phosphate_star	Indian	(27,27.25]	-0.3016182	-0.3151445	-0.2935875
silicate + phosphate_star	Indian	(27.25,27.5]	-0.5611314	-0.6308589	-0.4882290
silicate + phosphate_star	Indian	(27.5,27.75]	-0.6682366	-0.7401163	-0.5637085
silicate + phosphate_star	Indian	(27.75,27.85]	-0.5102656	-0.5537137	-0.4824093
silicate + phosphate_star	Indian	(27.85,27.95]	-0.1395395	-0.1903311	-0.0673361
silicate + phosphate_star	Indian	(27.95,28.05]	0.0243684	-0.2795792	0.3237262
silicate + phosphate_star	Indian	(28.05,28.1]	0.0799226	-0.2341288	0.5100114
silicate + phosphate_star	Indian	(28.1, Inf]	0.0430966	-0.2568057	0.2303768
silicate + phosphate_star	Pacific	(-Inf,26]	0.7464861	0.6751440	0.8428645
silicate + phosphate_star	Pacific	(26,26.5]	0.7506142	0.7339973	0.7597063
silicate + phosphate_star	Pacific	(26.5,26.75]	0.7062357	0.6595374	0.7609697
silicate + phosphate_star	Pacific	(26.75,27]	0.7186142	0.6984837	0.7568364
silicate + phosphate_star	Pacific	(27,27.25]	0.4448076	0.4061590	0.4665029
silicate + phosphate_star	Pacific	(27.25,27.5]	-0.2588717	-0.3083873	-0.1802821
silicate + phosphate_star	Pacific	(27.5,27.75]	-0.2933956	-0.5595498	0.1011523
silicate + phosphate_star	Pacific	(27.75,27.85]	-0.6203191	-0.6707699	-0.5507082
silicate + phosphate_star	Pacific	(27.85,27.95]	-0.2097063	-0.3042681	-0.0927063
silicate + phosphate_star	Pacific	(27.95,28.05]	0.3746189	0.2440506	0.4845366
silicate + phosphate_star	Pacific	(28.05,28.1]	0.5632866	0.4144206	0.6451103
silicate + phosphate_star	Pacific	(28.1, Inf]	0.1772893	0.0887997	0.2639459
temp + aou	Atlantic	(-Inf,26]	0.1525728	-0.3443143	0.4955137
temp + aou	Atlantic	(26,26.5]	-0.1563927	-0.2351595	-0.0023207
temp + aou	Atlantic	(26.5,26.75]	-0.3575722	-0.4886277	-0.2792322
temp + aou	Atlantic	(26.75,27]	-0.2180049	-0.3371739	-0.1300003
temp + aou	Atlantic	(27,27.25]	-0.2529025	-0.4088192	-0.1456856
temp + aou	Atlantic	(27.25,27.5]	-0.1811273	-0.3148102	-0.1048674
temp + aou	Atlantic	(27.5,27.75]	-0.3882867	-0.4541746	-0.3275062
temp + aou	Atlantic	(27.75,27.85]	-0.4147021	-0.4526517	-0.3779644
temp + aou	Atlantic	(27.85,27.95]	-0.2922229	-0.3459842	-0.1901608
temp + aou	Atlantic	(27.95,28.05]	-0.5094197	-0.6097758	-0.3933330
temp + aou	Atlantic	(28.05,28.1]	-0.6143924	-0.7142514	-0.5262006
temp + aou	Atlantic	(28.1,28.15]	-0.6943970	-0.6995813	-0.6850711
temp + aou	Atlantic	(28.15,28.2]	-0.7533337	-0.8162647	-0.7157224
temp + aou	Atlantic	(28.2, Inf]	0.3965707	0.2955435	0.4837979
temp + aou	Indian	(-Inf,26]	-0.5733968	-0.6362262	-0.5158656
temp + aou	Indian	(26,26.5]	-0.6453546	-0.8676387	-0.4579152
temp + aou	Indian	(26.5,26.75]	-0.3014077	-0.4904839	-0.0898052
temp + aou	Indian	(26.75,27]	0.1613326	-0.1482107	0.4824997
temp + aou	Indian	(27,27.25]	0.6715792	0.5541481	0.7577098
temp + aou	Indian	(27.25,27.5]	0.8313087	0.8199037	0.8412345
temp + aou	Indian	(27.5,27.75]	0.8639634	0.8384355	0.8774148
temp + aou	Indian	(27.75,27.85]	0.8837104	0.8225347	0.9314848
temp + aou	Indian	(27.85,27.95]	0.7942551	0.7438784	0.8216634
temp + aou	Indian	(27.95,28.05]	0.7122087	0.5594929	0.8619895
temp + aou	Indian	(28.05,28.1]	0.5986095	0.3054583	0.7934618
temp + aou	Indian	(28.1, Inf]	0.8670816	0.8121922	0.8957939
temp + aou	Pacific	(-Inf,26]	-0.2676272	-0.4183566	-0.1757647
temp + aou	Pacific	(26,26.5]	-0.0278434	-0.2147180	0.0979126
temp + aou	Pacific	(26.5,26.75]	0.2726474	0.0118220	0.4382836
temp + aou	Pacific	(26.75,27]	0.0355560	-0.0786206	0.0972681
temp + aou	Pacific	(27,27.25]	-0.2406333	-0.2807413	-0.1649491
temp + aou	Pacific	(27.25,27.5]	0.0041064	-0.0910624	0.1098402
temp + aou	Pacific	(27.5,27.75]	0.3334752	0.2234046	0.5423110
temp + aou	Pacific	(27.75,27.85]	-0.0265463	-0.2787247	0.2120146
temp + aou	Pacific	(27.85,27.95]	-0.1177868	-0.4180281	0.0919227
temp + aou	Pacific	(27.95,28.05]	-0.0253026	-0.1600648	0.1070904
temp + aou	Pacific	(28.05,28.1]	0.1254868	-0.0810118	0.2768694
temp + aou	Pacific	(28.1, Inf]	0.8090795	0.7830093	0.8289076
temp + oxygen	Atlantic	(-Inf,26]	-0.4453612	-0.7280160	-0.0393858
temp + oxygen	Atlantic	(26,26.5]	-0.3160507	-0.4269172	-0.1881729
temp + oxygen	Atlantic	(26.5,26.75]	0.0741381	-0.0389001	0.2784214
temp + oxygen	Atlantic	(26.75,27]	0.0038080	-0.1177280	0.1436692
temp + oxygen	Atlantic	(27,27.25]	0.0255506	-0.0737692	0.2119139
temp + oxygen	Atlantic	(27.25,27.5]	-0.1573108	-0.2695035	0.0183017
temp + oxygen	Atlantic	(27.5,27.75]	0.0094616	-0.1085977	0.0815310
temp + oxygen	Atlantic	(27.75,27.85]	0.1816667	0.1478367	0.2098490
temp + oxygen	Atlantic	(27.85,27.95]	0.1415740	0.0275043	0.2122976
temp + oxygen	Atlantic	(27.95,28.05]	0.3719033	0.2507514	0.4958992
temp + oxygen	Atlantic	(28.05,28.1]	0.4938880	0.3626396	0.6343219
temp + oxygen	Atlantic	(28.1,28.15]	0.6111693	0.5923381	0.6305230
temp + oxygen	Atlantic	(28.15,28.2]	0.7097924	0.6701372	0.7881845
temp + oxygen	Atlantic	(28.2, Inf]	-0.5478721	-0.6583946	-0.4424985
temp + oxygen	Indian	(-Inf,26]	0.4714954	0.4111380	0.5182026
temp + oxygen	Indian	(26,26.5]	0.5891729	0.3850168	0.8343641
temp + oxygen	Indian	(26.5,26.75]	0.2334842	0.0233554	0.4188916
temp + oxygen	Indian	(26.75,27]	-0.2885863	-0.5487627	-0.0623382
temp + oxygen	Indian	(27,27.25]	-0.7440259	-0.8127698	-0.6499594
temp + oxygen	Indian	(27.25,27.5]	-0.8796492	-0.8863696	-0.8733287
temp + oxygen	Indian	(27.5,27.75]	-0.9049164	-0.9174520	-0.8839129
temp + oxygen	Indian	(27.75,27.85]	-0.9168261	-0.9527983	-0.8694024
temp + oxygen	Indian	(27.85,27.95]	-0.8602004	-0.8798737	-0.8309945
temp + oxygen	Indian	(27.95,28.05]	-0.7991229	-0.9191880	-0.6600418
temp + oxygen	Indian	(28.05,28.1]	-0.6909145	-0.8765577	-0.3936972
temp + oxygen	Indian	(28.1, Inf]	-0.9242589	-0.9459709	-0.8881520
temp + oxygen	Pacific	(-Inf,26]	-0.2180311	-0.3269660	-0.0147312
temp + oxygen	Pacific	(26,26.5]	-0.1497717	-0.2550971	0.0043529
temp + oxygen	Pacific	(26.5,26.75]	-0.4149509	-0.5695894	-0.1913493
temp + oxygen	Pacific	(26.75,27]	-0.2281689	-0.2899875	-0.1180934
temp + oxygen	Pacific	(27,27.25]	0.1307374	0.0563596	0.1767602
temp + oxygen	Pacific	(27.25,27.5]	-0.0960494	-0.1991264	0.0066337
temp + oxygen	Pacific	(27.5,27.75]	-0.4294478	-0.6367205	-0.3242294
temp + oxygen	Pacific	(27.75,27.85]	-0.0326667	-0.2792012	0.2348151
temp + oxygen	Pacific	(27.85,27.95]	0.0656472	-0.1538654	0.3834730
temp + oxygen	Pacific	(27.95,28.05]	-0.0379601	-0.1813490	0.1035948
temp + oxygen	Pacific	(28.05,28.1]	-0.1731003	-0.3413294	0.0497238
temp + oxygen	Pacific	(28.1, Inf]	-0.8702345	-0.8768948	-0.8587691
temp + phosphate	Atlantic	(-Inf,26]	-0.5374329	-0.6406560	-0.4310476
temp + phosphate	Atlantic	(26,26.5]	-0.7908048	-0.8326864	-0.7545789
temp + phosphate	Atlantic	(26.5,26.75]	-0.7722728	-0.7811292	-0.7621512
temp + phosphate	Atlantic	(26.75,27]	-0.6794157	-0.7215593	-0.6347742
temp + phosphate	Atlantic	(27,27.25]	-0.7296661	-0.7808454	-0.6531975
temp + phosphate	Atlantic	(27.25,27.5]	-0.7915221	-0.8137436	-0.7480091
temp + phosphate	Atlantic	(27.5,27.75]	-0.7650726	-0.8022170	-0.7423000
temp + phosphate	Atlantic	(27.75,27.85]	-0.6734752	-0.7146028	-0.6443009
temp + phosphate	Atlantic	(27.85,27.95]	-0.5241442	-0.5829440	-0.4473555
temp + phosphate	Atlantic	(27.95,28.05]	-0.6523679	-0.7038865	-0.5739212
temp + phosphate	Atlantic	(28.05,28.1]	-0.7394508	-0.7739127	-0.7208488
temp + phosphate	Atlantic	(28.1,28.15]	-0.7754772	-0.7873840	-0.7564524
temp + phosphate	Atlantic	(28.15,28.2]	-0.7647517	-0.7989658	-0.7373350
temp + phosphate	Atlantic	(28.2, Inf]	0.0133450	-0.1182857	0.0794342
temp + phosphate	Indian	(-Inf,26]	-0.6073024	-0.7063994	-0.4996580
temp + phosphate	Indian	(26,26.5]	-0.6950302	-0.8995190	-0.5011553
temp + phosphate	Indian	(26.5,26.75]	-0.4315103	-0.6642845	-0.1558005
temp + phosphate	Indian	(26.75,27]	-0.1660959	-0.6650335	0.3249710
temp + phosphate	Indian	(27,27.25]	0.3651731	0.0903367	0.6081877
temp + phosphate	Indian	(27.25,27.5]	0.6223491	0.5724610	0.6648918
temp + phosphate	Indian	(27.5,27.75]	0.7509344	0.6736746	0.8008164
temp + phosphate	Indian	(27.75,27.85]	0.6697357	0.4619446	0.8411303
temp + phosphate	Indian	(27.85,27.95]	0.4641726	0.3040327	0.6378359
temp + phosphate	Indian	(27.95,28.05]	0.2074097	0.1482972	0.2487566
temp + phosphate	Indian	(28.05,28.1]	0.0554494	0.0455438	0.0660315
temp + phosphate	Indian	(28.1, Inf]	0.0278977	-0.2816898	0.1837259
temp + phosphate	Pacific	(-Inf,26]	-0.4662677	-0.5978833	-0.3376798
temp + phosphate	Pacific	(26,26.5]	-0.2927248	-0.4800635	-0.1737928
temp + phosphate	Pacific	(26.5,26.75]	-0.0198193	-0.3015478	0.1398583
temp + phosphate	Pacific	(26.75,27]	-0.2948667	-0.4188811	-0.2218612
temp + phosphate	Pacific	(27,27.25]	-0.3786306	-0.4383934	-0.2973031
temp + phosphate	Pacific	(27.25,27.5]	-0.0296263	-0.1514930	0.0645842
temp + phosphate	Pacific	(27.5,27.75]	0.4320798	0.2221400	0.7050192
temp + phosphate	Pacific	(27.75,27.85]	-0.0102607	-0.2091000	0.1795014
temp + phosphate	Pacific	(27.85,27.95]	-0.1180054	-0.3655454	0.0384573
temp + phosphate	Pacific	(27.95,28.05]	-0.0917915	-0.2147098	-0.0086573
temp + phosphate	Pacific	(28.05,28.1]	0.0485728	-0.1336304	0.1433120
temp + phosphate	Pacific	(28.1, Inf]	0.5470868	0.3917877	0.6323208
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8260529	-0.8566845	-0.7748093
temp + phosphate_star	Atlantic	(26,26.5]	-0.9561604	-0.9732987	-0.9394806
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9814920	-0.9836426	-0.9781461
temp + phosphate_star	Atlantic	(26.75,27]	-0.9839341	-0.9860784	-0.9801156
temp + phosphate_star	Atlantic	(27,27.25]	-0.9853093	-0.9871708	-0.9828744
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9829498	-0.9844797	-0.9811661
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9321015	-0.9419473	-0.9251242
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8919122	-0.9058853	-0.8778727
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.8183980	-0.8431179	-0.7924428
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.8136675	-0.8595254	-0.7850241
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8474328	-0.8625854	-0.8361239
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8499768	-0.8657942	-0.8199174
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.7897441	-0.8019500	-0.7668591
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.3114419	-0.5861117	-0.1500982
temp + phosphate_star	Indian	(-Inf,26]	-0.7390203	-0.8485191	-0.5933683
temp + phosphate_star	Indian	(26,26.5]	-0.8262816	-0.9532530	-0.6691804
temp + phosphate_star	Indian	(26.5,26.75]	-0.7533616	-0.9377440	-0.4786543
temp + phosphate_star	Indian	(26.75,27]	-0.8697904	-0.9892455	-0.6998285
temp + phosphate_star	Indian	(27,27.25]	-0.9373125	-0.9846078	-0.8785405
temp + phosphate_star	Indian	(27.25,27.5]	-0.9727469	-0.9909033	-0.9539549
temp + phosphate_star	Indian	(27.5,27.75]	-0.9319640	-0.9381086	-0.9213587
temp + phosphate_star	Indian	(27.75,27.85]	-0.8633377	-0.8850913	-0.8300850
temp + phosphate_star	Indian	(27.85,27.95]	-0.8215697	-0.8950753	-0.6801756
temp + phosphate_star	Indian	(27.95,28.05]	-0.8514756	-0.9578963	-0.6836287
temp + phosphate_star	Indian	(28.05,28.1]	-0.8111911	-0.9556328	-0.5612551
temp + phosphate_star	Indian	(28.1, Inf]	-0.9418684	-0.9790996	-0.8890524
temp + phosphate_star	Pacific	(-Inf,26]	-0.7878672	-0.8480577	-0.7137211
temp + phosphate_star	Pacific	(26,26.5]	-0.8055637	-0.8692330	-0.7693913
temp + phosphate_star	Pacific	(26.5,26.75]	-0.8258418	-0.8730932	-0.7597066
temp + phosphate_star	Pacific	(26.75,27]	-0.9273285	-0.9379272	-0.9173836
temp + phosphate_star	Pacific	(27,27.25]	-0.8867978	-0.9079078	-0.8732303
temp + phosphate_star	Pacific	(27.25,27.5]	-0.5061622	-0.5917424	-0.3697095
temp + phosphate_star	Pacific	(27.5,27.75]	0.0373846	-0.4850896	0.5198945
temp + phosphate_star	Pacific	(27.75,27.85]	-0.1507007	-0.4540383	0.2750082
temp + phosphate_star	Pacific	(27.85,27.95]	-0.2031296	-0.4603635	0.1728874
temp + phosphate_star	Pacific	(27.95,28.05]	-0.4990263	-0.5624296	-0.3724653
temp + phosphate_star	Pacific	(28.05,28.1]	-0.2747663	-0.3656600	-0.1442151
temp + phosphate_star	Pacific	(28.1, Inf]	-0.7433400	-0.8258951	-0.6743111
temp + silicate	Atlantic	(-Inf,26]	-0.6501215	-0.7356764	-0.5467039
temp + silicate	Atlantic	(26,26.5]	-0.7408321	-0.8548341	-0.6624929
temp + silicate	Atlantic	(26.5,26.75]	-0.6917348	-0.7154447	-0.6706297
temp + silicate	Atlantic	(26.75,27]	-0.5803828	-0.6508389	-0.5367369
temp + silicate	Atlantic	(27,27.25]	-0.7046701	-0.7418420	-0.6555564
temp + silicate	Atlantic	(27.25,27.5]	-0.8433182	-0.8490678	-0.8349949
temp + silicate	Atlantic	(27.5,27.75]	-0.7995382	-0.8293917	-0.7607409
temp + silicate	Atlantic	(27.75,27.85]	-0.7212421	-0.7377864	-0.6920122
temp + silicate	Atlantic	(27.85,27.95]	-0.6271320	-0.6602594	-0.5674581
temp + silicate	Atlantic	(27.95,28.05]	-0.7286233	-0.7874039	-0.6516083
temp + silicate	Atlantic	(28.05,28.1]	-0.7618230	-0.8197665	-0.7135137
temp + silicate	Atlantic	(28.1,28.15]	-0.7872874	-0.7940630	-0.7759031
temp + silicate	Atlantic	(28.15,28.2]	-0.7558860	-0.8095729	-0.7218422
temp + silicate	Atlantic	(28.2, Inf]	0.0338392	-0.0405573	0.1119282
temp + silicate	Indian	(-Inf,26]	-0.6756998	-0.7355405	-0.6279400
temp + silicate	Indian	(26,26.5]	-0.7307035	-0.8783613	-0.6486952
temp + silicate	Indian	(26.5,26.75]	-0.4168397	-0.5487634	-0.3231449
temp + silicate	Indian	(26.75,27]	0.0818816	-0.1715802	0.3262320
temp + silicate	Indian	(27,27.25]	0.4481023	0.3629515	0.5132855
temp + silicate	Indian	(27.25,27.5]	0.5437413	0.4321172	0.6167918
temp + silicate	Indian	(27.5,27.75]	0.5851980	0.4539508	0.6743066
temp + silicate	Indian	(27.75,27.85]	0.7071665	0.6852913	0.7442311
temp + silicate	Indian	(27.85,27.95]	0.4917353	0.4091036	0.6024817
temp + silicate	Indian	(27.95,28.05]	0.3396572	0.2661629	0.4574532
temp + silicate	Indian	(28.05,28.1]	0.3248833	0.1753944	0.4602231
temp + silicate	Indian	(28.1, Inf]	0.1085564	-0.0440962	0.3731137
temp + silicate	Pacific	(-Inf,26]	-0.6768519	-0.7560302	-0.6163859
temp + silicate	Pacific	(26,26.5]	-0.6359680	-0.6962515	-0.5762960
temp + silicate	Pacific	(26.5,26.75]	-0.6142862	-0.7141520	-0.5438605
temp + silicate	Pacific	(26.75,27]	-0.6962687	-0.7087961	-0.6719205
temp + silicate	Pacific	(27,27.25]	-0.5949893	-0.6325883	-0.5689079
temp + silicate	Pacific	(27.25,27.5]	-0.3365081	-0.3638746	-0.2818650
temp + silicate	Pacific	(27.5,27.75]	0.0674937	-0.1200694	0.3274792
temp + silicate	Pacific	(27.75,27.85]	-0.1433282	-0.3570968	0.0524197
temp + silicate	Pacific	(27.85,27.95]	-0.2481229	-0.5344995	-0.0735078
temp + silicate	Pacific	(27.95,28.05]	-0.2318313	-0.3965847	-0.1150633
temp + silicate	Pacific	(28.05,28.1]	0.0532155	-0.1171496	0.1496493
temp + silicate	Pacific	(28.1, Inf]	0.2406450	0.1323259	0.3545724

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")

# 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]	0.4589846	0.3674996	0.5060252
aou	Atlantic	(26,26.5]	-0.0516295	-0.1892782	0.1270230
aou	Atlantic	(26.5,26.75]	-0.3922132	-0.4495500	-0.3437928
aou	Atlantic	(26.75,27]	-0.2781417	-0.4132396	-0.1510401
aou	Atlantic	(27,27.25]	-0.4671594	-0.5419709	-0.4008834
aou	Atlantic	(27.25,27.5]	-0.4506845	-0.4968261	-0.3868140
aou	Atlantic	(27.5,27.75]	-0.7727986	-0.8186248	-0.7419477
aou	Atlantic	(27.75,27.85]	-0.9016323	-0.9318628	-0.8824122
aou	Atlantic	(27.85,27.95]	-0.9148684	-0.9285848	-0.9042885
aou	Atlantic	(27.95,28.05]	-0.8588256	-0.8730288	-0.8373829
aou	Atlantic	(28.05,28.1]	-0.8174504	-0.8414900	-0.7714991
aou	Atlantic	(28.1,28.15]	-0.8356933	-0.8870774	-0.7446875
aou	Atlantic	(28.15,28.2]	-0.9368367	-0.9646030	-0.8981948
aou	Atlantic	(28.2, Inf]	-0.1015743	-0.3102195	0.0297186
aou	Indian	(-Inf,26]	-0.7341865	-0.9252861	-0.6329129
aou	Indian	(26,26.5]	-0.9478641	-0.9923073	-0.9232675
aou	Indian	(26.5,26.75]	-0.9080537	-0.9331517	-0.8721772
aou	Indian	(26.75,27]	-0.5713198	-0.6497734	-0.5041308
aou	Indian	(27,27.25]	-0.0603285	-0.1658659	0.0269957
aou	Indian	(27.25,27.5]	0.5455214	0.3823004	0.7476766
aou	Indian	(27.5,27.75]	0.5557658	0.2620869	0.8036573
aou	Indian	(27.75,27.85]	0.2557367	-0.0983372	0.5452416
aou	Indian	(27.85,27.95]	0.0886140	-0.1525932	0.2571647
aou	Indian	(27.95,28.05]	0.1368593	-0.1766235	0.4382173
aou	Indian	(28.05,28.1]	0.2403606	0.0344727	0.4845292
aou	Indian	(28.1, Inf]	0.3427294	0.1678149	0.6020417
aou	Pacific	(-Inf,26]	-0.0095129	-0.0434267	0.0357573
aou	Pacific	(26,26.5]	-0.6116574	-0.7430453	-0.4261210
aou	Pacific	(26.5,26.75]	-0.5540509	-0.6735357	-0.3912952
aou	Pacific	(26.75,27]	-0.5471097	-0.7579758	-0.3385818
aou	Pacific	(27,27.25]	0.0519854	-0.0162483	0.1219722
aou	Pacific	(27.25,27.5]	0.5718175	0.5104268	0.6513631
aou	Pacific	(27.5,27.75]	0.7171530	0.6485658	0.7768324
aou	Pacific	(27.75,27.85]	0.7998197	0.7569335	0.8244350
aou	Pacific	(27.85,27.95]	0.7580515	0.6919321	0.7933687
aou	Pacific	(27.95,28.05]	0.5491627	0.4579542	0.6111796
aou	Pacific	(28.05,28.1]	0.2612556	0.2314378	0.3093736
aou	Pacific	(28.1, Inf]	0.3133494	0.1699852	0.5233745
oxygen	Atlantic	(-Inf,26]	-0.4369823	-0.4974313	-0.3235955
oxygen	Atlantic	(26,26.5]	-0.3109745	-0.4710014	-0.2227723
oxygen	Atlantic	(26.5,26.75]	0.1538928	0.0687123	0.2034557
oxygen	Atlantic	(26.75,27]	0.0879715	-0.0225280	0.2433626
oxygen	Atlantic	(27,27.25]	0.2653053	0.2072214	0.3726405
oxygen	Atlantic	(27.25,27.5]	0.1353820	-0.0000987	0.2283521
oxygen	Atlantic	(27.5,27.75]	0.4978251	0.4047369	0.6070151
oxygen	Atlantic	(27.75,27.85]	0.8014368	0.7562478	0.8736542
oxygen	Atlantic	(27.85,27.95]	0.8842129	0.8623350	0.9189440
oxygen	Atlantic	(27.95,28.05]	0.8399485	0.8245955	0.8484176
oxygen	Atlantic	(28.05,28.1]	0.7965262	0.7751449	0.8180886
oxygen	Atlantic	(28.1,28.15]	0.8265965	0.7492128	0.8684379
oxygen	Atlantic	(28.15,28.2]	0.9378685	0.8995944	0.9582292
oxygen	Atlantic	(28.2, Inf]	-0.0786758	-0.1896349	0.0742502
oxygen	Indian	(-Inf,26]	0.7757854	0.6739686	0.9606292
oxygen	Indian	(26,26.5]	0.9453495	0.9201691	0.9910960
oxygen	Indian	(26.5,26.75]	0.8884206	0.8530665	0.9064917
oxygen	Indian	(26.75,27]	0.4711883	0.3212516	0.6083242
oxygen	Indian	(27,27.25]	-0.0180452	-0.1056560	0.1225069
oxygen	Indian	(27.25,27.5]	-0.5705650	-0.7837491	-0.3933101
oxygen	Indian	(27.5,27.75]	-0.5320212	-0.7854561	-0.2318326
oxygen	Indian	(27.75,27.85]	-0.2550265	-0.5535227	0.1037910
oxygen	Indian	(27.85,27.95]	-0.1116760	-0.2848030	0.1464332
oxygen	Indian	(27.95,28.05]	-0.1949991	-0.4985400	0.1383479
oxygen	Indian	(28.05,28.1]	-0.2903542	-0.5530046	-0.0542870
oxygen	Indian	(28.1, Inf]	-0.3874453	-0.6560933	-0.2159782
oxygen	Pacific	(-Inf,26]	0.1393718	0.0978214	0.1910839
oxygen	Pacific	(26,26.5]	0.5353599	0.3684485	0.6724381
oxygen	Pacific	(26.5,26.75]	0.4770127	0.3329854	0.6010274
oxygen	Pacific	(26.75,27]	0.4703519	0.2636338	0.6986499
oxygen	Pacific	(27,27.25]	-0.0213812	-0.1063699	0.0669735
oxygen	Pacific	(27.25,27.5]	-0.5242115	-0.6129074	-0.4650421
oxygen	Pacific	(27.5,27.75]	-0.6751770	-0.7436119	-0.5994834
oxygen	Pacific	(27.75,27.85]	-0.7790340	-0.8032685	-0.7336627
oxygen	Pacific	(27.85,27.95]	-0.7434084	-0.7766314	-0.6770839
oxygen	Pacific	(27.95,28.05]	-0.5413399	-0.6029125	-0.4534232
oxygen	Pacific	(28.05,28.1]	-0.2656858	-0.3121777	-0.2348635
oxygen	Pacific	(28.1, Inf]	-0.3203508	-0.5359327	-0.1864258
phosphate	Atlantic	(-Inf,26]	-0.0498575	-0.1098097	0.0479930
phosphate	Atlantic	(26,26.5]	-0.6618494	-0.7077891	-0.6303210
phosphate	Atlantic	(26.5,26.75]	-0.7426848	-0.7882787	-0.6759357
phosphate	Atlantic	(26.75,27]	-0.7037162	-0.7643111	-0.5894539
phosphate	Atlantic	(27,27.25]	-0.8590630	-0.9028875	-0.8154702
phosphate	Atlantic	(27.25,27.5]	-0.9328370	-0.9536992	-0.9145979
phosphate	Atlantic	(27.5,27.75]	-0.9795408	-0.9838038	-0.9761120
phosphate	Atlantic	(27.75,27.85]	-0.9647849	-0.9732724	-0.9487641
phosphate	Atlantic	(27.85,27.95]	-0.9341453	-0.9452474	-0.9125074
phosphate	Atlantic	(27.95,28.05]	-0.8937245	-0.9219779	-0.8410037
phosphate	Atlantic	(28.05,28.1]	-0.8666885	-0.9032230	-0.7998879
phosphate	Atlantic	(28.1,28.15]	-0.8721620	-0.9335731	-0.7770397
phosphate	Atlantic	(28.15,28.2]	-0.9644090	-0.9855271	-0.9409439
phosphate	Atlantic	(28.2, Inf]	-0.7665949	-0.8169252	-0.7000121
phosphate	Indian	(-Inf,26]	-0.7358397	-0.8968633	-0.6338600
phosphate	Indian	(26,26.5]	-0.9527678	-0.9908094	-0.9271145
phosphate	Indian	(26.5,26.75]	-0.9507780	-0.9832961	-0.9272062
phosphate	Indian	(26.75,27]	-0.8108149	-0.8862830	-0.7729573
phosphate	Indian	(27,27.25]	-0.3894192	-0.5017531	-0.3024887
phosphate	Indian	(27.25,27.5]	0.3397100	0.2070073	0.5163295
phosphate	Indian	(27.5,27.75]	0.4237152	0.1008892	0.6891568
phosphate	Indian	(27.75,27.85]	0.0021628	-0.2475596	0.1812704
phosphate	Indian	(27.85,27.95]	-0.2270681	-0.3555944	-0.1094453
phosphate	Indian	(27.95,28.05]	-0.3236185	-0.4302274	-0.1942334
phosphate	Indian	(28.05,28.1]	-0.2279879	-0.2941083	-0.1378243
phosphate	Indian	(28.1, Inf]	-0.3685723	-0.4319306	-0.3170245
phosphate	Pacific	(-Inf,26]	-0.0590488	-0.1408614	0.0104351
phosphate	Pacific	(26,26.5]	-0.7489685	-0.8561572	-0.5775651
phosphate	Pacific	(26.5,26.75]	-0.7382527	-0.8255829	-0.5919334
phosphate	Pacific	(26.75,27]	-0.7064361	-0.8490958	-0.5203159
phosphate	Pacific	(27,27.25]	-0.0082741	-0.0521395	0.0430423
phosphate	Pacific	(27.25,27.5]	0.4839710	0.4064026	0.5818861
phosphate	Pacific	(27.5,27.75]	0.6052050	0.5125816	0.6888132
phosphate	Pacific	(27.75,27.85]	0.7078693	0.6390535	0.7482217
phosphate	Pacific	(27.85,27.95]	0.6693020	0.5753354	0.7165156
phosphate	Pacific	(27.95,28.05]	0.4271295	0.2874251	0.5376833
phosphate	Pacific	(28.05,28.1]	0.1058927	0.0273792	0.2148216
phosphate	Pacific	(28.1, Inf]	0.0865556	-0.0759206	0.3622254
phosphate_star	Atlantic	(-Inf,26]	-0.3226730	-0.4653881	-0.2166030
phosphate_star	Atlantic	(26,26.5]	-0.8193655	-0.8479194	-0.7874107
phosphate_star	Atlantic	(26.5,26.75]	-0.8864982	-0.9128823	-0.8621386
phosphate_star	Atlantic	(26.75,27]	-0.9399930	-0.9545390	-0.9277583
phosphate_star	Atlantic	(27,27.25]	-0.9490022	-0.9602502	-0.9343023
phosphate_star	Atlantic	(27.25,27.5]	-0.9477154	-0.9698926	-0.9183525
phosphate_star	Atlantic	(27.5,27.75]	-0.9265274	-0.9550779	-0.8898652
phosphate_star	Atlantic	(27.75,27.85]	-0.8759908	-0.9189339	-0.8198421
phosphate_star	Atlantic	(27.85,27.95]	-0.7864759	-0.8313398	-0.7154002
phosphate_star	Atlantic	(27.95,28.05]	-0.8224103	-0.8629373	-0.7812422
phosphate_star	Atlantic	(28.05,28.1]	-0.8449884	-0.8929231	-0.7829150
phosphate_star	Atlantic	(28.1,28.15]	-0.8612405	-0.9284211	-0.7685966
phosphate_star	Atlantic	(28.15,28.2]	-0.9659159	-0.9831375	-0.9475360
phosphate_star	Atlantic	(28.2, Inf]	-0.8168853	-0.8372266	-0.8044272
phosphate_star	Indian	(-Inf,26]	-0.6494468	-0.7825708	-0.5107851
phosphate_star	Indian	(26,26.5]	-0.9183790	-0.9683310	-0.8597701
phosphate_star	Indian	(26.5,26.75]	-0.9005874	-0.9280965	-0.8659551
phosphate_star	Indian	(26.75,27]	-0.8111493	-0.9130899	-0.6959001
phosphate_star	Indian	(27,27.25]	-0.6859247	-0.7988915	-0.5105753
phosphate_star	Indian	(27.25,27.5]	-0.7080632	-0.8771867	-0.5565573
phosphate_star	Indian	(27.5,27.75]	-0.5732318	-0.7483579	-0.3644887
phosphate_star	Indian	(27.75,27.85]	-0.4809730	-0.6958197	-0.2381860
phosphate_star	Indian	(27.85,27.95]	-0.5362361	-0.5990153	-0.4460673
phosphate_star	Indian	(27.95,28.05]	-0.6786187	-0.7504675	-0.6137630
phosphate_star	Indian	(28.05,28.1]	-0.6698307	-0.7338077	-0.6267314
phosphate_star	Indian	(28.1, Inf]	-0.6018875	-0.7726173	-0.4799077
phosphate_star	Pacific	(-Inf,26]	0.0220264	-0.0875494	0.0801009
phosphate_star	Pacific	(26,26.5]	-0.7458486	-0.8190730	-0.6386009
phosphate_star	Pacific	(26.5,26.75]	-0.6837821	-0.8062138	-0.5418307
phosphate_star	Pacific	(26.75,27]	-0.5718994	-0.7063697	-0.4606065
phosphate_star	Pacific	(27,27.25]	-0.0968748	-0.1842977	0.0332779
phosphate_star	Pacific	(27.25,27.5]	-0.3539089	-0.3953061	-0.3077899
phosphate_star	Pacific	(27.5,27.75]	-0.6460022	-0.6791922	-0.5913810
phosphate_star	Pacific	(27.75,27.85]	-0.7417741	-0.8114754	-0.6818483
phosphate_star	Pacific	(27.85,27.95]	-0.5518707	-0.5831929	-0.5149035
phosphate_star	Pacific	(27.95,28.05]	-0.2759412	-0.4438991	-0.0810168
phosphate_star	Pacific	(28.05,28.1]	-0.3244593	-0.4709888	-0.1546394
phosphate_star	Pacific	(28.1, Inf]	-0.4615275	-0.5089344	-0.3792697
sal	Atlantic	(-Inf,26]	0.2451277	0.1325472	0.3500245
sal	Atlantic	(26,26.5]	0.7896890	0.7644818	0.8289455
sal	Atlantic	(26.5,26.75]	0.8594930	0.8346903	0.8735559
sal	Atlantic	(26.75,27]	0.9136071	0.8966164	0.9318275
sal	Atlantic	(27,27.25]	0.9293042	0.9149625	0.9436005
sal	Atlantic	(27.25,27.5]	0.9196126	0.8749571	0.9519482
sal	Atlantic	(27.5,27.75]	0.8128312	0.7719311	0.8632711
sal	Atlantic	(27.75,27.85]	0.6405911	0.5581151	0.7216809
sal	Atlantic	(27.85,27.95]	0.4091535	0.3076952	0.4922109
sal	Atlantic	(27.95,28.05]	0.4698017	0.3737517	0.6216015
sal	Atlantic	(28.05,28.1]	0.6249909	0.5376515	0.6788261
sal	Atlantic	(28.1,28.15]	0.7141358	0.5923904	0.8020141
sal	Atlantic	(28.15,28.2]	0.8830522	0.8279596	0.9317511
sal	Atlantic	(28.2, Inf]	0.7163282	0.7030260	0.7418104
sal	Indian	(-Inf,26]	0.7593312	0.5672905	0.9720006
sal	Indian	(26,26.5]	0.7874090	0.5818759	0.9747392
sal	Indian	(26.5,26.75]	0.6025924	0.2342423	0.9148926
sal	Indian	(26.75,27]	0.4208894	-0.0608247	0.8580128
sal	Indian	(27,27.25]	0.2961867	-0.0054348	0.5102704
sal	Indian	(27.25,27.5]	0.5668793	0.3380303	0.8050883
sal	Indian	(27.5,27.75]	0.5380413	0.1634731	0.8175020
sal	Indian	(27.75,27.85]	0.3431605	-0.0846749	0.7188123
sal	Indian	(27.85,27.95]	0.3254800	-0.0509980	0.5760035
sal	Indian	(27.95,28.05]	0.5049693	0.2252072	0.7300418
sal	Indian	(28.05,28.1]	0.4904046	0.2812659	0.6921236
sal	Indian	(28.1, Inf]	0.4353541	0.3162427	0.6120567
sal	Pacific	(-Inf,26]	-0.0451776	-0.0831792	-0.0066479
sal	Pacific	(26,26.5]	0.3093278	0.2002617	0.5042023
sal	Pacific	(26.5,26.75]	0.2543858	0.0321294	0.4806339
sal	Pacific	(26.75,27]	0.2699898	0.1110996	0.4294500
sal	Pacific	(27,27.25]	-0.4009087	-0.5275140	-0.3139483
sal	Pacific	(27.25,27.5]	-0.5253823	-0.6202532	-0.4549978
sal	Pacific	(27.5,27.75]	-0.3661457	-0.4567881	-0.2908577
sal	Pacific	(27.75,27.85]	-0.4358932	-0.6175019	-0.2530915
sal	Pacific	(27.85,27.95]	-0.4281163	-0.6439800	-0.2494811
sal	Pacific	(27.95,28.05]	-0.2398709	-0.4043435	-0.0570113
sal	Pacific	(28.05,28.1]	-0.1221050	-0.2654220	-0.0073218
sal	Pacific	(28.1, Inf]	-0.0462755	-0.2316955	0.0904256
silicate	Atlantic	(-Inf,26]	-0.1002335	-0.1355658	-0.0392299
silicate	Atlantic	(26,26.5]	-0.6356621	-0.7190444	-0.5823318
silicate	Atlantic	(26.5,26.75]	-0.6832164	-0.7359720	-0.6206735
silicate	Atlantic	(26.75,27]	-0.6040594	-0.6898492	-0.4972018
silicate	Atlantic	(27,27.25]	-0.8223991	-0.8469972	-0.8090542
silicate	Atlantic	(27.25,27.5]	-0.8894446	-0.9017898	-0.8698622
silicate	Atlantic	(27.5,27.75]	-0.8763832	-0.8897042	-0.8578373
silicate	Atlantic	(27.75,27.85]	-0.8794785	-0.9133853	-0.8403464
silicate	Atlantic	(27.85,27.95]	-0.8580556	-0.8903659	-0.8202131
silicate	Atlantic	(27.95,28.05]	-0.8305973	-0.8761223	-0.7586497
silicate	Atlantic	(28.05,28.1]	-0.8227350	-0.8628156	-0.7497356
silicate	Atlantic	(28.1,28.15]	-0.8510161	-0.9126178	-0.7509080
silicate	Atlantic	(28.15,28.2]	-0.9505258	-0.9723712	-0.9205979
silicate	Atlantic	(28.2, Inf]	-0.6148735	-0.7646587	-0.4602407
silicate	Indian	(-Inf,26]	-0.7196999	-0.8815637	-0.6350867
silicate	Indian	(26,26.5]	-0.9428032	-0.9884159	-0.9186675
silicate	Indian	(26.5,26.75]	-0.9189612	-0.9538095	-0.8808328
silicate	Indian	(26.75,27]	-0.5984056	-0.6734705	-0.5253493
silicate	Indian	(27,27.25]	-0.2103732	-0.2564258	-0.1370443
silicate	Indian	(27.25,27.5]	0.4542206	0.3608262	0.6235413
silicate	Indian	(27.5,27.75]	0.6176421	0.4141947	0.8201028
silicate	Indian	(27.75,27.85]	0.2472022	-0.0454150	0.5215792
silicate	Indian	(27.85,27.95]	0.0079110	-0.2317332	0.1594690
silicate	Indian	(27.95,28.05]	-0.0706122	-0.3122292	0.2125951
silicate	Indian	(28.05,28.1]	0.0200701	-0.1634408	0.2480043
silicate	Indian	(28.1, Inf]	-0.2004786	-0.2512702	-0.1571547
silicate	Pacific	(-Inf,26]	-0.0948180	-0.1624276	-0.0294640
silicate	Pacific	(26,26.5]	-0.6180894	-0.6904786	-0.5012244
silicate	Pacific	(26.5,26.75]	-0.5130632	-0.6191767	-0.4405245
silicate	Pacific	(26.75,27]	-0.4569155	-0.5230388	-0.3578558
silicate	Pacific	(27,27.25]	0.3127618	0.2851564	0.3396620
silicate	Pacific	(27.25,27.5]	0.7953760	0.7528692	0.8226808
silicate	Pacific	(27.5,27.75]	0.8606001	0.8210941	0.8847435
silicate	Pacific	(27.75,27.85]	0.8366748	0.7938738	0.8602222
silicate	Pacific	(27.85,27.95]	0.7549257	0.6828392	0.7910696
silicate	Pacific	(27.95,28.05]	0.5242179	0.4190596	0.6068679
silicate	Pacific	(28.05,28.1]	0.2193913	0.1847881	0.2473736
silicate	Pacific	(28.1, Inf]	0.1411535	-0.0555428	0.3091926
temp	Atlantic	(-Inf,26]	0.0373035	-0.1689359	0.1958475
temp	Atlantic	(26,26.5]	0.7494471	0.7218263	0.7784064
temp	Atlantic	(26.5,26.75]	0.8472529	0.8347763	0.8606941
temp	Atlantic	(26.75,27]	0.8964810	0.8723604	0.9166604
temp	Atlantic	(27,27.25]	0.9049210	0.8990059	0.9142560
temp	Atlantic	(27.25,27.5]	0.9036181	0.8624751	0.9360049
temp	Atlantic	(27.5,27.75]	0.7818099	0.7270454	0.8413639
temp	Atlantic	(27.75,27.85]	0.6361292	0.5354442	0.7228527
temp	Atlantic	(27.85,27.95]	0.4012401	0.3226500	0.5160403
temp	Atlantic	(27.95,28.05]	0.4744687	0.4046268	0.5883076
temp	Atlantic	(28.05,28.1]	0.5316354	0.4599722	0.5688586
temp	Atlantic	(28.1,28.15]	0.5568954	0.3909561	0.6679522
temp	Atlantic	(28.15,28.2]	0.6444640	0.5722792	0.7180358
temp	Atlantic	(28.2, Inf]	0.5826743	0.5658469	0.6040168
temp	Indian	(-Inf,26]	0.0583976	-0.0933495	0.3403497
temp	Indian	(26,26.5]	0.6135829	0.4737801	0.8549309
temp	Indian	(26.5,26.75]	0.4854787	0.2224888	0.7212166
temp	Indian	(26.75,27]	0.5278334	0.1138161	0.8845199
temp	Indian	(27,27.25]	0.5031664	0.1679071	0.7577347
temp	Indian	(27.25,27.5]	0.6167253	0.3796863	0.8619715
temp	Indian	(27.5,27.75]	0.3562740	0.0772997	0.5822127
temp	Indian	(27.75,27.85]	0.2141536	-0.1260510	0.5116056
temp	Indian	(27.85,27.95]	0.1759909	-0.1063111	0.3427461
temp	Indian	(27.95,28.05]	0.3965891	0.1175590	0.6326370
temp	Indian	(28.05,28.1]	0.4221441	0.1544454	0.6848629
temp	Indian	(28.1, Inf]	0.4470299	0.2715922	0.7312322
temp	Pacific	(-Inf,26]	-0.2968993	-0.3705449	-0.2094684
temp	Pacific	(26,26.5]	0.3816232	0.2739546	0.5347178
temp	Pacific	(26.5,26.75]	0.2761239	0.0860150	0.4937031
temp	Pacific	(26.75,27]	0.3201033	0.1700205	0.4740109
temp	Pacific	(27,27.25]	-0.2583142	-0.3926930	-0.1555001
temp	Pacific	(27.25,27.5]	-0.4940598	-0.5784154	-0.4185137
temp	Pacific	(27.5,27.75]	-0.4149597	-0.5400500	-0.3160744
temp	Pacific	(27.75,27.85]	-0.3449402	-0.5845477	-0.1440724
temp	Pacific	(27.85,27.95]	-0.3539683	-0.6181568	-0.1581140
temp	Pacific	(27.95,28.05]	-0.1413311	-0.2332532	0.0180537
temp	Pacific	(28.05,28.1]	0.0264441	-0.0408436	0.1342752
temp	Pacific	(28.1, Inf]	0.2786426	0.1373223	0.5384014

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_0.7.2      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_1.1.0  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_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           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_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1

eMLR - assumption testing

Jens Daniel Müller

19 December, 2020