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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))))
)
}

Version	Author	Date
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

Version	Author	Date
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

Individual correlation plots for each basin, era and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/observations/v_XXX/figures/Observations_correlation/

if (params_local$plot_all_figures == "y") {

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]

    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin,
             era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]

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

}

2.2 Correlation assesment

2.2.1 Calculation of correlation coeffcients

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

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

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

2.2.2 Predictor pairs

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

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

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

Version	Author	Date
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8905140	0.8617038	0.9058811
aou + nitrate	Atlantic	(26,26.5]	0.8454418	0.7673188	0.9055945
aou + nitrate	Atlantic	(26.5,26.75]	0.9343066	0.8924749	0.9710690
aou + nitrate	Atlantic	(26.75,27]	0.9316081	0.9166145	0.9412233
aou + nitrate	Atlantic	(27,27.25]	0.9023188	0.8722661	0.9346470
aou + nitrate	Atlantic	(27.25,27.5]	0.7892468	0.7511778	0.8423338
aou + nitrate	Atlantic	(27.5,27.75]	0.8853156	0.8666797	0.9134596
aou + nitrate	Atlantic	(27.75,27.85]	0.9428276	0.9387803	0.9480559
aou + nitrate	Atlantic	(27.85,27.95]	0.9528771	0.9487151	0.9575248
aou + nitrate	Atlantic	(27.95,28.05]	0.9584513	0.9503908	0.9706493
aou + nitrate	Atlantic	(28.05,28.1]	0.9681253	0.9460136	0.9838974
aou + nitrate	Atlantic	(28.1,28.15]	0.9804960	0.9662423	0.9876535
aou + nitrate	Atlantic	(28.15,28.2]	0.9862750	0.9690517	0.9962328
aou + nitrate	Atlantic	(28.2, Inf]	0.8816721	0.8357125	0.9478104
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9256924	0.8941469	0.9597409
aou + nitrate	Indo-Pacific	(26,26.5]	0.9085251	0.9010083	0.9194793
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9165045	0.8959024	0.9342672
aou + nitrate	Indo-Pacific	(26.75,27]	0.9417645	0.9386834	0.9439767
aou + nitrate	Indo-Pacific	(27,27.25]	0.9559262	0.9350445	0.9679150
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9433168	0.9072220	0.9699093
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9120883	0.9040541	0.9227140
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9712333	0.9428304	0.9903090
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9743876	0.9557929	0.9905913
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9605260	0.9434250	0.9767090
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9479380	0.9288518	0.9689934
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.7826610	0.7237644	0.8622183
aou + phosphate	Atlantic	(-Inf,26]	0.3888703	-0.0131851	0.7434863
aou + phosphate	Atlantic	(26,26.5]	0.6335034	0.5010055	0.7585618
aou + phosphate	Atlantic	(26.5,26.75]	0.8515513	0.7821568	0.9204643
aou + phosphate	Atlantic	(26.75,27]	0.8686892	0.8463406	0.8847913
aou + phosphate	Atlantic	(27,27.25]	0.8503990	0.8230116	0.8995390
aou + phosphate	Atlantic	(27.25,27.5]	0.7291386	0.6700878	0.7929829
aou + phosphate	Atlantic	(27.5,27.75]	0.8597088	0.8400869	0.8981321
aou + phosphate	Atlantic	(27.75,27.85]	0.9317772	0.9231029	0.9483883
aou + phosphate	Atlantic	(27.85,27.95]	0.9464736	0.9420322	0.9508141
aou + phosphate	Atlantic	(27.95,28.05]	0.9568862	0.9452863	0.9764938
aou + phosphate	Atlantic	(28.05,28.1]	0.9637626	0.9374488	0.9854537
aou + phosphate	Atlantic	(28.1,28.15]	0.9765218	0.9624925	0.9851908
aou + phosphate	Atlantic	(28.15,28.2]	0.9860603	0.9686645	0.9964244
aou + phosphate	Atlantic	(28.2, Inf]	0.8812195	0.8402736	0.9447263
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9403233	0.9114775	0.9605157
aou + phosphate	Indo-Pacific	(26,26.5]	0.9453389	0.9309541	0.9555253
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9402811	0.9323229	0.9486438
aou + phosphate	Indo-Pacific	(26.75,27]	0.9466474	0.9367838	0.9568206
aou + phosphate	Indo-Pacific	(27,27.25]	0.9669283	0.9525316	0.9791675
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9627738	0.9417207	0.9780882
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9442072	0.9219530	0.9603218
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9807428	0.9699732	0.9879206
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9783662	0.9672995	0.9884102
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9643082	0.9514111	0.9742784
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9493456	0.9323508	0.9656919
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7695478	0.7047120	0.8256703
aou + phosphate_star	Atlantic	(-Inf,26]	-0.2308736	-0.6713696	0.3362197
aou + phosphate_star	Atlantic	(26,26.5]	0.2400808	0.1251833	0.3754281
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4799837	0.4185957	0.6009722
aou + phosphate_star	Atlantic	(26.75,27]	0.3077992	0.2619873	0.3378343
aou + phosphate_star	Atlantic	(27,27.25]	0.3158252	0.0860001	0.5459123
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2385712	0.0981954	0.3687213
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5634749	0.5479370	0.5850090
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6929701	0.6694551	0.7102207
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6557701	0.5979971	0.6891330
aou + phosphate_star	Atlantic	(27.95,28.05]	0.7975394	0.7364215	0.8797231
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8661918	0.7846540	0.9393153
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9102429	0.8632542	0.9401397
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9500863	0.8834488	0.9897098
aou + phosphate_star	Atlantic	(28.2, Inf]	0.6602029	0.5318511	0.8316891
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6704597	0.5646792	0.7372591
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.5243199	0.3917025	0.6245846
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.3590663	0.2318206	0.5661872
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.3525601	0.2019545	0.4746092
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.0798626	-0.1113102	0.2204618
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4058610	-0.4594826	-0.3489556
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3097733	-0.5325436	0.0429534
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5160432	-0.5968477	-0.4720226
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1466295	-0.1635289	-0.1209193
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1512806	0.0652943	0.1990064
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.2759839	0.2596079	0.2926531
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6824225	-0.7096336	-0.6544791
aou + silicate	Atlantic	(-Inf,26]	0.1715764	-0.2529136	0.5754309
aou + silicate	Atlantic	(26,26.5]	0.5590474	0.4204551	0.6884459
aou + silicate	Atlantic	(26.5,26.75]	0.8390892	0.7903177	0.9219485
aou + silicate	Atlantic	(26.75,27]	0.8630017	0.8263096	0.8842078
aou + silicate	Atlantic	(27,27.25]	0.8071165	0.7334645	0.8928015
aou + silicate	Atlantic	(27.25,27.5]	0.5364679	0.3638514	0.6975798
aou + silicate	Atlantic	(27.5,27.75]	0.6733371	0.6624928	0.6915165
aou + silicate	Atlantic	(27.75,27.85]	0.8402694	0.8234475	0.8490667
aou + silicate	Atlantic	(27.85,27.95]	0.8900067	0.8896495	0.8901947
aou + silicate	Atlantic	(27.95,28.05]	0.9387087	0.9332973	0.9460396
aou + silicate	Atlantic	(28.05,28.1]	0.9644832	0.9495511	0.9794473
aou + silicate	Atlantic	(28.1,28.15]	0.9769482	0.9715662	0.9812530
aou + silicate	Atlantic	(28.15,28.2]	0.9899075	0.9808916	0.9961188
aou + silicate	Atlantic	(28.2, Inf]	0.8904637	0.8645424	0.9298133
aou + silicate	Indo-Pacific	(-Inf,26]	0.7445176	0.6855603	0.7937723
aou + silicate	Indo-Pacific	(26,26.5]	0.6534422	0.5604762	0.7266831
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6124967	0.4433605	0.7050511
aou + silicate	Indo-Pacific	(26.75,27]	0.7486032	0.7138995	0.7793044
aou + silicate	Indo-Pacific	(27,27.25]	0.8755205	0.8424043	0.9062791
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9023023	0.8663495	0.9355127
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9200075	0.8737882	0.9475280
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9661888	0.9517144	0.9744475
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9616734	0.9492053	0.9696058
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9471854	0.9387939	0.9520240
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9462642	0.9448045	0.9490396
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6738493	0.6443323	0.6891115
nitrate + phosphate	Atlantic	(-Inf,26]	0.5922173	0.3682246	0.7528712
nitrate + phosphate	Atlantic	(26,26.5]	0.9027467	0.9009065	0.9059071
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9714512	0.9625940	0.9801842
nitrate + phosphate	Atlantic	(26.75,27]	0.9824041	0.9813303	0.9832041
nitrate + phosphate	Atlantic	(27,27.25]	0.9890537	0.9851315	0.9919515
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9906169	0.9869576	0.9924508
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9928740	0.9919663	0.9945665
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9924542	0.9913200	0.9938599
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9896515	0.9874907	0.9909871
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9898436	0.9886125	0.9913240
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9908197	0.9902452	0.9913495
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9951110	0.9945846	0.9960808
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9970135	0.9954806	0.9984425
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9937591	0.9878457	0.9979118
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9677088	0.9582189	0.9729436
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9401212	0.9103925	0.9600351
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9494994	0.9293040	0.9692626
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9773719	0.9620375	0.9887965
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9800605	0.9625242	0.9914028
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9746036	0.9425137	0.9919294
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9626309	0.9125734	0.9890802
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9805502	0.9579342	0.9929565
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9833391	0.9651507	0.9946791
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9809510	0.9664402	0.9927184
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9772762	0.9620108	0.9881402
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9338082	0.8746836	0.9735306
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.0094457	-0.3094021	0.3908953
nitrate + phosphate_star	Atlantic	(26,26.5]	0.6563847	0.5587179	0.7533684
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.7364460	0.6904082	0.7611306
nitrate + phosphate_star	Atlantic	(26.75,27]	0.6194345	0.6163951	0.6225282
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6787739	0.5037467	0.8018477
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7723381	0.7141870	0.8045683
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8673550	0.8460145	0.8783730
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8737674	0.8544414	0.8930319
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8295325	0.7777450	0.8648154
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9129325	0.8828598	0.9380677
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9466090	0.9296440	0.9659217
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9640660	0.9567739	0.9702883
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9826162	0.9659547	0.9953129
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9240099	0.8880447	0.9605158
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8564046	0.8287271	0.9097891
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.7112653	0.5321896	0.8371915
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5887074	0.4506948	0.7853509
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.5904920	0.4457406	0.7128716
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.3059639	0.1605380	0.4034712
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1473147	-0.2096437	-0.0963016
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0138190	-0.2438926	0.4066261
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3595542	-0.5090072	-0.2358207
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0122830	-0.0163671	0.0423884
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3583670	0.2501928	0.4189669
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5074016	0.4852351	0.5274471
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1438707	-0.2051501	-0.0918458
nitrate + silicate	Atlantic	(-Inf,26]	0.4297687	0.1771891	0.6667275
nitrate + silicate	Atlantic	(26,26.5]	0.8294884	0.8099049	0.8515806
nitrate + silicate	Atlantic	(26.5,26.75]	0.9434793	0.8963811	0.9674144
nitrate + silicate	Atlantic	(26.75,27]	0.9433343	0.9160848	0.9617717
nitrate + silicate	Atlantic	(27,27.25]	0.9405228	0.9083682	0.9698052
nitrate + silicate	Atlantic	(27.25,27.5]	0.8786930	0.8134912	0.9239485
nitrate + silicate	Atlantic	(27.5,27.75]	0.8886234	0.8830681	0.8940191
nitrate + silicate	Atlantic	(27.75,27.85]	0.9408353	0.9309232	0.9546378
nitrate + silicate	Atlantic	(27.85,27.95]	0.9642004	0.9534105	0.9729012
nitrate + silicate	Atlantic	(27.95,28.05]	0.9754548	0.9639660	0.9825973
nitrate + silicate	Atlantic	(28.05,28.1]	0.9871905	0.9860838	0.9883982
nitrate + silicate	Atlantic	(28.1,28.15]	0.9912314	0.9905266	0.9924250
nitrate + silicate	Atlantic	(28.15,28.2]	0.9944428	0.9895766	0.9984633
nitrate + silicate	Atlantic	(28.2, Inf]	0.9827194	0.9757065	0.9963500
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8781526	0.8659524	0.8962393
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8028614	0.7517545	0.8316461
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.7731078	0.6579558	0.8401373
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8385442	0.8126796	0.8620658
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8900238	0.8662179	0.9199630
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8651683	0.8292740	0.9134974
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.8317331	0.8133909	0.8506251
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9446561	0.9204610	0.9571014
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9568256	0.9391450	0.9677157
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9497367	0.9370639	0.9660209
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9534244	0.9463513	0.9606117
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7956831	0.7497964	0.8542116
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.7599458	0.6727778	0.8695592
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8926934	0.8394516	0.9524454
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8631375	0.8318898	0.8925554
phosphate + phosphate_star	Atlantic	(26.75,27]	0.7375410	0.7352116	0.7404379
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7610591	0.6284682	0.8566112
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8353192	0.8012130	0.8577294
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9016282	0.8773742	0.9159814
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9032925	0.8838842	0.9249096
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8609893	0.8138778	0.8904014
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9350033	0.9095178	0.9578426
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9664516	0.9502595	0.9825877
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9772367	0.9672385	0.9837778
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9881560	0.9717054	0.9980688
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9341519	0.9038448	0.9666212
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8666414	0.8358762	0.9032171
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.7677448	0.6932287	0.8357006
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6482217	0.5475575	0.7959100
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.6296455	0.5265606	0.7317603
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.3208810	0.1885490	0.4067649
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1635600	-0.2203350	-0.1217933
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0149577	-0.1961288	0.3362262
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3543178	-0.4719380	-0.2626272
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0471191	0.0242122	0.0868954
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3988402	0.2845361	0.4756119
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5580568	0.5287068	0.5861616
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0663955	-0.1160494	-0.0059865
sal + aou	Atlantic	(-Inf,26]	0.1728282	-0.3310034	0.5293116
sal + aou	Atlantic	(26,26.5]	-0.1301347	-0.2192144	-0.0179934
sal + aou	Atlantic	(26.5,26.75]	-0.3707373	-0.4775203	-0.3138988
sal + aou	Atlantic	(26.75,27]	-0.2572295	-0.2933637	-0.2100668
sal + aou	Atlantic	(27,27.25]	-0.3209426	-0.5585937	-0.0826952
sal + aou	Atlantic	(27.25,27.5]	-0.2118353	-0.3643351	-0.0384177
sal + aou	Atlantic	(27.5,27.75]	-0.4070111	-0.4509077	-0.3802926
sal + aou	Atlantic	(27.75,27.85]	-0.3667866	-0.4414521	-0.2683987
sal + aou	Atlantic	(27.85,27.95]	-0.2482085	-0.3495390	-0.0905244
sal + aou	Atlantic	(27.95,28.05]	-0.4613389	-0.5903829	-0.3319230
sal + aou	Atlantic	(28.05,28.1]	-0.7071514	-0.7438565	-0.6395739
sal + aou	Atlantic	(28.1,28.15]	-0.8184837	-0.8555868	-0.7671207
sal + aou	Atlantic	(28.15,28.2]	-0.9185148	-0.9890539	-0.8088000
sal + aou	Atlantic	(28.2, Inf]	-0.7000569	-0.8684545	-0.5895479
sal + aou	Indo-Pacific	(-Inf,26]	-0.1173101	-0.1898708	-0.0482354
sal + aou	Indo-Pacific	(26,26.5]	-0.0534846	-0.2534704	0.1100896
sal + aou	Indo-Pacific	(26.5,26.75]	-0.0689868	-0.3603408	0.1996024
sal + aou	Indo-Pacific	(26.75,27]	-0.1709808	-0.3554963	0.0224913
sal + aou	Indo-Pacific	(27,27.25]	-0.0419487	-0.1851883	0.2286408
sal + aou	Indo-Pacific	(27.25,27.5]	0.1619388	0.0716420	0.3392206
sal + aou	Indo-Pacific	(27.5,27.75]	0.3075864	0.1358957	0.4876485
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1492963	-0.4068109	0.1567788
sal + aou	Indo-Pacific	(27.85,27.95]	-0.3116390	-0.6471856	-0.0154195
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3095800	-0.4124907	-0.1633507
sal + aou	Indo-Pacific	(28.05,28.1]	-0.3193106	-0.4775329	-0.1977666
sal + aou	Indo-Pacific	(28.1, Inf]	0.4322752	0.3194263	0.4954694
sal + nitrate	Atlantic	(-Inf,26]	-0.0366513	-0.3308324	0.1571328
sal + nitrate	Atlantic	(26,26.5]	-0.5273649	-0.6663004	-0.4206159
sal + nitrate	Atlantic	(26.5,26.75]	-0.6321900	-0.6617207	-0.5848553
sal + nitrate	Atlantic	(26.75,27]	-0.5657188	-0.5738147	-0.5614005
sal + nitrate	Atlantic	(27,27.25]	-0.6721506	-0.8048005	-0.4882582
sal + nitrate	Atlantic	(27.25,27.5]	-0.7206455	-0.7831227	-0.6100341
sal + nitrate	Atlantic	(27.5,27.75]	-0.7082212	-0.7730971	-0.6250685
sal + nitrate	Atlantic	(27.75,27.85]	-0.5569779	-0.6637226	-0.3767864
sal + nitrate	Atlantic	(27.85,27.95]	-0.4644066	-0.5753651	-0.2882668
sal + nitrate	Atlantic	(27.95,28.05]	-0.6133273	-0.7654509	-0.5254153
sal + nitrate	Atlantic	(28.05,28.1]	-0.8095851	-0.8278904	-0.7842357
sal + nitrate	Atlantic	(28.1,28.15]	-0.8789313	-0.8992016	-0.8573141
sal + nitrate	Atlantic	(28.15,28.2]	-0.9491344	-0.9846664	-0.9079598
sal + nitrate	Atlantic	(28.2, Inf]	-0.9377697	-0.9755075	-0.9127887
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3503337	-0.4079892	-0.2926885
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3463675	-0.5686880	-0.2130029
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.3610566	-0.6363491	-0.1478600
sal + nitrate	Indo-Pacific	(26.75,27]	-0.4207637	-0.5912585	-0.2595731
sal + nitrate	Indo-Pacific	(27,27.25]	-0.2319439	-0.3367328	-0.0521435
sal + nitrate	Indo-Pacific	(27.25,27.5]	0.0162956	-0.0257737	0.0674200
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3088384	-0.0356916	0.7284071
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2695144	-0.4232716	-0.0906181
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.4276426	-0.6719706	-0.2133104
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.4914207	-0.5504353	-0.3961153
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.5411906	-0.6396293	-0.4533811
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.0465630	-0.1236634	0.0460291
sal + phosphate	Atlantic	(-Inf,26]	-0.6563522	-0.7613570	-0.5154934
sal + phosphate	Atlantic	(26,26.5]	-0.8057593	-0.8998143	-0.7453265
sal + phosphate	Atlantic	(26.5,26.75]	-0.7803907	-0.8218674	-0.7461832
sal + phosphate	Atlantic	(26.75,27]	-0.6892579	-0.6941168	-0.6859849
sal + phosphate	Atlantic	(27,27.25]	-0.7516987	-0.8535016	-0.6129714
sal + phosphate	Atlantic	(27.25,27.5]	-0.7855928	-0.8346793	-0.7061449
sal + phosphate	Atlantic	(27.5,27.75]	-0.7529002	-0.8178183	-0.6707400
sal + phosphate	Atlantic	(27.75,27.85]	-0.6049935	-0.7090312	-0.4432162
sal + phosphate	Atlantic	(27.85,27.95]	-0.4926730	-0.5905708	-0.3292776
sal + phosphate	Atlantic	(27.95,28.05]	-0.6292137	-0.7767081	-0.5506984
sal + phosphate	Atlantic	(28.05,28.1]	-0.8226525	-0.8372336	-0.7982063
sal + phosphate	Atlantic	(28.1,28.15]	-0.8935990	-0.9126107	-0.8768357
sal + phosphate	Atlantic	(28.15,28.2]	-0.9515136	-0.9866980	-0.9135176
sal + phosphate	Atlantic	(28.2, Inf]	-0.9399225	-0.9769630	-0.9143670
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2202770	-0.2940559	-0.1754456
sal + phosphate	Indo-Pacific	(26,26.5]	-0.2732699	-0.4947387	-0.1162393
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3192358	-0.5998758	-0.1015681
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4165732	-0.6032815	-0.2335277
sal + phosphate	Indo-Pacific	(27,27.25]	-0.2099069	-0.3467311	0.0176117
sal + phosphate	Indo-Pacific	(27.25,27.5]	0.0741531	-0.0095587	0.1570137
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3471751	0.1647529	0.6700848
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1764670	-0.3787838	0.0911866
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3727843	-0.6585248	-0.0961576
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.4691032	-0.5609125	-0.3342866
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.5289906	-0.6456253	-0.4284119
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.0673131	-0.1851778	0.0144356
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8889567	-0.9000203	-0.8703544
sal + phosphate_star	Atlantic	(26,26.5]	-0.9647768	-0.9709098	-0.9592886
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9745007	-0.9755540	-0.9736950
sal + phosphate_star	Atlantic	(26.75,27]	-0.9804797	-0.9831555	-0.9764206
sal + phosphate_star	Atlantic	(27,27.25]	-0.9815060	-0.9829295	-0.9793023
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9637612	-0.9745819	-0.9428075
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9171238	-0.9443520	-0.8839046
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8294143	-0.8900393	-0.7200137
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8062819	-0.8447311	-0.7368739
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.7995445	-0.9030424	-0.6912208
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9012469	-0.9338090	-0.8606082
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9426239	-0.9580711	-0.9176012
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9683894	-0.9840051	-0.9533090
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9807788	-0.9913247	-0.9744318
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4917263	-0.5121354	-0.4690185
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.6928311	-0.8300752	-0.6149719
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8151083	-0.9128745	-0.7110312
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8760760	-0.9294413	-0.8089217
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8123176	-0.8440515	-0.7786483
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5554625	-0.7655279	-0.3139758
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0716399	-0.6276290	0.5349757
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2564248	-0.5957389	0.2102246
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4298319	-0.5932261	-0.1411259
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7624173	-0.7991701	-0.7196095
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8418364	-0.8799696	-0.7936527
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.7772732	-0.8173862	-0.7005657
sal + silicate	Atlantic	(-Inf,26]	-0.7303060	-0.8140438	-0.6732885
sal + silicate	Atlantic	(26,26.5]	-0.7673816	-0.9191803	-0.6906740
sal + silicate	Atlantic	(26.5,26.75]	-0.7089645	-0.7592260	-0.6642432
sal + silicate	Atlantic	(26.75,27]	-0.5978289	-0.6323706	-0.5676806
sal + silicate	Atlantic	(27,27.25]	-0.7280578	-0.8084565	-0.6320336
sal + silicate	Atlantic	(27.25,27.5]	-0.8008276	-0.8261169	-0.7709485
sal + silicate	Atlantic	(27.5,27.75]	-0.7410763	-0.7594751	-0.7223879
sal + silicate	Atlantic	(27.75,27.85]	-0.6323562	-0.6873448	-0.5328345
sal + silicate	Atlantic	(27.85,27.95]	-0.5776891	-0.6612537	-0.4403449
sal + silicate	Atlantic	(27.95,28.05]	-0.6815665	-0.8009217	-0.5990182
sal + silicate	Atlantic	(28.05,28.1]	-0.8392685	-0.8595311	-0.8219224
sal + silicate	Atlantic	(28.1,28.15]	-0.8985480	-0.9161591	-0.8721625
sal + silicate	Atlantic	(28.15,28.2]	-0.9368691	-0.9887896	-0.8670309
sal + silicate	Atlantic	(28.2, Inf]	-0.9139205	-0.9849066	-0.8719184
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5154463	-0.5932843	-0.4088319
sal + silicate	Indo-Pacific	(26,26.5]	-0.5323817	-0.6692469	-0.3858006
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6565700	-0.8047307	-0.5118492
sal + silicate	Indo-Pacific	(26.75,27]	-0.6576620	-0.7630449	-0.4765383
sal + silicate	Indo-Pacific	(27,27.25]	-0.4052558	-0.5369992	-0.1864151
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1064440	-0.1926510	0.0279642
sal + silicate	Indo-Pacific	(27.5,27.75]	0.1528148	0.0358308	0.3812260
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.1983534	-0.3620413	0.0178888
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3468525	-0.5941884	-0.1182301
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.3867537	-0.4542907	-0.2833586
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.4349007	-0.5373102	-0.3510988
sal + silicate	Indo-Pacific	(28.1, Inf]	0.0655129	-0.0404215	0.1445309
sal + temp	Atlantic	(-Inf,26]	0.8920598	0.8591490	0.9472669
sal + temp	Atlantic	(26,26.5]	0.9655178	0.9607020	0.9697338
sal + temp	Atlantic	(26.5,26.75]	0.9891393	0.9883162	0.9901226
sal + temp	Atlantic	(26.75,27]	0.9816344	0.9790618	0.9833460
sal + temp	Atlantic	(27,27.25]	0.9792936	0.9758631	0.9819790
sal + temp	Atlantic	(27.25,27.5]	0.9759958	0.9731909	0.9781556
sal + temp	Atlantic	(27.5,27.75]	0.9695427	0.9608357	0.9753482
sal + temp	Atlantic	(27.75,27.85]	0.9803151	0.9770437	0.9827845
sal + temp	Atlantic	(27.85,27.95]	0.9418768	0.9266708	0.9500885
sal + temp	Atlantic	(27.95,28.05]	0.8854378	0.8547981	0.9249476
sal + temp	Atlantic	(28.05,28.1]	0.9565272	0.9509261	0.9655245
sal + temp	Atlantic	(28.1,28.15]	0.9377185	0.8937912	0.9636795
sal + temp	Atlantic	(28.15,28.2]	0.8960880	0.8813598	0.9131500
sal + temp	Atlantic	(28.2, Inf]	0.1593329	0.0382896	0.2231473
sal + temp	Indo-Pacific	(-Inf,26]	0.7490319	0.7126033	0.8098447
sal + temp	Indo-Pacific	(26,26.5]	0.9239766	0.8849409	0.9441167
sal + temp	Indo-Pacific	(26.5,26.75]	0.9766334	0.9686280	0.9828505
sal + temp	Indo-Pacific	(26.75,27]	0.9757977	0.9708803	0.9790597
sal + temp	Indo-Pacific	(27,27.25]	0.9466881	0.9302888	0.9650314
sal + temp	Indo-Pacific	(27.25,27.5]	0.8753609	0.8246690	0.9485862
sal + temp	Indo-Pacific	(27.5,27.75]	0.8554531	0.7887239	0.9007206
sal + temp	Indo-Pacific	(27.75,27.85]	0.8048970	0.6483422	0.9283214
sal + temp	Indo-Pacific	(27.85,27.95]	0.7103694	0.4891701	0.8605322
sal + temp	Indo-Pacific	(27.95,28.05]	0.7350086	0.6509124	0.8168326
sal + temp	Indo-Pacific	(28.05,28.1]	0.7243663	0.6315282	0.7883624
sal + temp	Indo-Pacific	(28.1, Inf]	0.6708318	0.6204392	0.7245367
silicate + phosphate	Atlantic	(-Inf,26]	0.7546062	0.6728559	0.8457608
silicate + phosphate	Atlantic	(26,26.5]	0.9216831	0.8895051	0.9709324
silicate + phosphate	Atlantic	(26.5,26.75]	0.9517806	0.9053096	0.9804495
silicate + phosphate	Atlantic	(26.75,27]	0.9506714	0.9224236	0.9687154
silicate + phosphate	Atlantic	(27,27.25]	0.9560083	0.9432072	0.9711735
silicate + phosphate	Atlantic	(27.25,27.5]	0.9100890	0.8721534	0.9379486
silicate + phosphate	Atlantic	(27.5,27.75]	0.9047324	0.9011824	0.9100656
silicate + phosphate	Atlantic	(27.75,27.85]	0.9492474	0.9413065	0.9587769
silicate + phosphate	Atlantic	(27.85,27.95]	0.9682683	0.9641725	0.9731661
silicate + phosphate	Atlantic	(27.95,28.05]	0.9769382	0.9707258	0.9819104
silicate + phosphate	Atlantic	(28.05,28.1]	0.9870331	0.9857917	0.9886271
silicate + phosphate	Atlantic	(28.1,28.15]	0.9931603	0.9915127	0.9940874
silicate + phosphate	Atlantic	(28.15,28.2]	0.9935460	0.9876472	0.9984270
silicate + phosphate	Atlantic	(28.2, Inf]	0.9836028	0.9753987	0.9963357
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7978707	0.7559728	0.8244502
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7556234	0.6750298	0.8171442
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7494306	0.6213486	0.8140657
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8475422	0.8138189	0.8696956
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9012101	0.8873933	0.9285422
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8801883	0.8577104	0.9213640
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8619125	0.8381935	0.8897939
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9496044	0.9329257	0.9610781
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9631650	0.9503149	0.9699781
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9580650	0.9481359	0.9630580
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9541743	0.9453587	0.9613013
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7740963	0.7095844	0.8262856
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6823336	0.5977146	0.7959759
silicate + phosphate_star	Atlantic	(26,26.5]	0.8337812	0.7710037	0.9502494
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7968035	0.7432241	0.8453111
silicate + phosphate_star	Atlantic	(26.75,27]	0.6534937	0.6229091	0.6833475
silicate + phosphate_star	Atlantic	(27,27.25]	0.7427118	0.6621855	0.8124128
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8701689	0.8502988	0.8835240
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9094882	0.8968290	0.9259123
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9138088	0.9081302	0.9204293
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.8868286	0.8507596	0.9116480
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9255982	0.8948462	0.9555212
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9487309	0.9212162	0.9743496
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9668840	0.9445273	0.9835976
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9729083	0.9363659	0.9960531
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9037740	0.8557650	0.9725998
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7733864	0.7384226	0.8414055
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7377250	0.6708042	0.7891608
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7469491	0.6608231	0.8387135
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.7124384	0.6266686	0.7652583
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.3488072	0.2466523	0.4275072
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2404587	-0.2682006	-0.2032610
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2364347	-0.3989406	-0.0115692
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4546419	-0.6040897	-0.3525337
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.0051778	-0.0176871	0.0173693
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3337235	0.2431461	0.3805226
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.4477528	0.4319763	0.4581444
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1382412	-0.1885972	-0.0776659
temp + aou	Atlantic	(-Inf,26]	0.1649381	-0.3425090	0.5404027
temp + aou	Atlantic	(26,26.5]	-0.1828357	-0.2581414	-0.0593044
temp + aou	Atlantic	(26.5,26.75]	-0.3940782	-0.4917652	-0.3274270
temp + aou	Atlantic	(26.75,27]	-0.2486365	-0.2990899	-0.1941507
temp + aou	Atlantic	(27,27.25]	-0.2652859	-0.4890987	-0.0453011
temp + aou	Atlantic	(27.25,27.5]	-0.1789541	-0.3383310	-0.0095389
temp + aou	Atlantic	(27.5,27.75]	-0.3802860	-0.4430949	-0.3332740
temp + aou	Atlantic	(27.75,27.85]	-0.3587354	-0.4422629	-0.2417793
temp + aou	Atlantic	(27.85,27.95]	-0.2116185	-0.3412751	-0.0643344
temp + aou	Atlantic	(27.95,28.05]	-0.4484714	-0.5120387	-0.4154901
temp + aou	Atlantic	(28.05,28.1]	-0.5743109	-0.6314662	-0.4924155
temp + aou	Atlantic	(28.1,28.15]	-0.6209432	-0.7051556	-0.5456059
temp + aou	Atlantic	(28.15,28.2]	-0.7107557	-0.8604840	-0.5079921
temp + aou	Atlantic	(28.2, Inf]	0.4122769	0.3276191	0.4868685
temp + aou	Indo-Pacific	(-Inf,26]	-0.2943194	-0.4356745	-0.2149296
temp + aou	Indo-Pacific	(26,26.5]	-0.1510960	-0.3118550	-0.0481537
temp + aou	Indo-Pacific	(26.5,26.75]	-0.0528592	-0.3309803	0.1897521
temp + aou	Indo-Pacific	(26.75,27]	-0.1793226	-0.3492330	-0.0154317
temp + aou	Indo-Pacific	(27,27.25]	-0.1129011	-0.2736535	0.1457203
temp + aou	Indo-Pacific	(27.25,27.5]	0.1361201	0.0154778	0.3226112
temp + aou	Indo-Pacific	(27.5,27.75]	0.3493925	0.1877868	0.5099451
temp + aou	Indo-Pacific	(27.75,27.85]	0.0219733	-0.1911629	0.2683286
temp + aou	Indo-Pacific	(27.85,27.95]	0.0004877	-0.2169543	0.1836622
temp + aou	Indo-Pacific	(27.95,28.05]	0.1495914	0.1145609	0.1723391
temp + aou	Indo-Pacific	(28.05,28.1]	0.2879782	0.2527375	0.3166428
temp + aou	Indo-Pacific	(28.1, Inf]	0.8680175	0.8612380	0.8745069
temp + nitrate	Atlantic	(-Inf,26]	0.0262478	-0.2709976	0.2859330
temp + nitrate	Atlantic	(26,26.5]	-0.5997436	-0.7662476	-0.4898455
temp + nitrate	Atlantic	(26.5,26.75]	-0.6589740	-0.7057821	-0.6019404
temp + nitrate	Atlantic	(26.75,27]	-0.5655705	-0.5860055	-0.5539233
temp + nitrate	Atlantic	(27,27.25]	-0.6344269	-0.7588352	-0.4614325
temp + nitrate	Atlantic	(27.25,27.5]	-0.6968665	-0.7658756	-0.5841924
temp + nitrate	Atlantic	(27.5,27.75]	-0.6851837	-0.7675016	-0.5757296
temp + nitrate	Atlantic	(27.75,27.85]	-0.5625377	-0.6775055	-0.3683425
temp + nitrate	Atlantic	(27.85,27.95]	-0.4292008	-0.5706142	-0.2518264
temp + nitrate	Atlantic	(27.95,28.05]	-0.5765152	-0.6916755	-0.4619258
temp + nitrate	Atlantic	(28.05,28.1]	-0.6950497	-0.7074296	-0.6706956
temp + nitrate	Atlantic	(28.1,28.15]	-0.6990885	-0.7653257	-0.5771127
temp + nitrate	Atlantic	(28.15,28.2]	-0.7496141	-0.8428796	-0.6498615
temp + nitrate	Atlantic	(28.2, Inf]	0.1117906	0.0594812	0.1486611
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5386634	-0.6919638	-0.3686913
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4506018	-0.6300710	-0.3315021
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.3575396	-0.6209264	-0.1724943
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4458190	-0.6032707	-0.3063449
temp + nitrate	Indo-Pacific	(27,27.25]	-0.3272634	-0.4241172	-0.1497996
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.0418603	-0.1198962	0.0183274
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.3475538	0.0252854	0.7325063
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0936494	-0.2093222	0.0320860
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1120838	-0.2468232	-0.0029845
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0430337	-0.0674398	0.0020989
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0575790	0.0444667	0.0721617
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.4431478	0.3725716	0.5392155
temp + phosphate	Atlantic	(-Inf,26]	-0.5645928	-0.6413374	-0.4661417
temp + phosphate	Atlantic	(26,26.5]	-0.8144105	-0.9278119	-0.7531989
temp + phosphate	Atlantic	(26.5,26.75]	-0.7951319	-0.8505304	-0.7531411
temp + phosphate	Atlantic	(26.75,27]	-0.6810053	-0.6976949	-0.6714929
temp + phosphate	Atlantic	(27,27.25]	-0.7132080	-0.8074725	-0.5846163
temp + phosphate	Atlantic	(27.25,27.5]	-0.7662859	-0.8200549	-0.6873743
temp + phosphate	Atlantic	(27.5,27.75]	-0.7310841	-0.8122866	-0.6250099
temp + phosphate	Atlantic	(27.75,27.85]	-0.6089140	-0.7214335	-0.4324399
temp + phosphate	Atlantic	(27.85,27.95]	-0.4569063	-0.5838131	-0.2925428
temp + phosphate	Atlantic	(27.95,28.05]	-0.5944236	-0.7044290	-0.4910553
temp + phosphate	Atlantic	(28.05,28.1]	-0.7102896	-0.7252471	-0.6882111
temp + phosphate	Atlantic	(28.1,28.15]	-0.7203640	-0.7844890	-0.6063309
temp + phosphate	Atlantic	(28.15,28.2]	-0.7543074	-0.8486275	-0.6606126
temp + phosphate	Atlantic	(28.2, Inf]	0.0992196	0.0488371	0.1317525
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4516934	-0.6088968	-0.2956916
temp + phosphate	Indo-Pacific	(26,26.5]	-0.3828140	-0.5628208	-0.2831181
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3182972	-0.5839887	-0.1259738
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4414881	-0.6098077	-0.2905319
temp + phosphate	Indo-Pacific	(27,27.25]	-0.3003438	-0.4086618	-0.0874108
temp + phosphate	Indo-Pacific	(27.25,27.5]	0.0175717	-0.0973584	0.1161305
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.3738831	0.1886682	0.6760045
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.0074964	-0.1567822	0.1902916
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0672136	-0.2302690	0.0869377
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0260741	-0.0526651	-0.0063306
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0617697	0.0451059	0.0800971
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.4232845	0.3325140	0.4844849
temp + phosphate_star	Atlantic	(-Inf,26]	-0.8216589	-0.8670473	-0.7758658
temp + phosphate_star	Atlantic	(26,26.5]	-0.9593485	-0.9734110	-0.9391372
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9795965	-0.9859354	-0.9748365
temp + phosphate_star	Atlantic	(26.75,27]	-0.9808688	-0.9845619	-0.9754272
temp + phosphate_star	Atlantic	(27,27.25]	-0.9823039	-0.9852564	-0.9805605
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9679349	-0.9789115	-0.9468880
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9128470	-0.9483358	-0.8636043
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8471434	-0.9112330	-0.7333371
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.7919562	-0.8441972	-0.7115969
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7669222	-0.8647405	-0.6501975
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8262752	-0.8795094	-0.7702845
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8101951	-0.8825666	-0.6878254
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8005647	-0.8490850	-0.7669280
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.1925327	-0.2571813	-0.0718525
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7540888	-0.8503201	-0.6204642
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.7929857	-0.8976518	-0.6806718
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8445253	-0.9259575	-0.7423072
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9204175	-0.9573264	-0.8688853
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8934963	-0.9252503	-0.8726119
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6802083	-0.8288000	-0.4916794
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1762512	-0.7244823	0.4188471
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3964025	-0.6923159	0.0237091
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5690461	-0.6941962	-0.3599568
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7548891	-0.8238811	-0.7010646
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6505282	-0.6579925	-0.6376575
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8973143	-0.9115265	-0.8788281
temp + silicate	Atlantic	(-Inf,26]	-0.6230928	-0.6718444	-0.5464948
temp + silicate	Atlantic	(26,26.5]	-0.7652460	-0.9296278	-0.6635388
temp + silicate	Atlantic	(26.5,26.75]	-0.7323986	-0.7927871	-0.6874118
temp + silicate	Atlantic	(26.75,27]	-0.6065602	-0.6470955	-0.5749945
temp + silicate	Atlantic	(27,27.25]	-0.7104163	-0.7777649	-0.6348701
temp + silicate	Atlantic	(27.25,27.5]	-0.8351492	-0.8493795	-0.8177976
temp + silicate	Atlantic	(27.5,27.75]	-0.7730139	-0.8055150	-0.7324025
temp + silicate	Atlantic	(27.75,27.85]	-0.6633649	-0.7287202	-0.5513608
temp + silicate	Atlantic	(27.85,27.95]	-0.5654629	-0.6734617	-0.4294354
temp + silicate	Atlantic	(27.95,28.05]	-0.6842022	-0.7540998	-0.6334315
temp + silicate	Atlantic	(28.05,28.1]	-0.7354284	-0.7507584	-0.7121234
temp + silicate	Atlantic	(28.1,28.15]	-0.7303967	-0.7897774	-0.6564134
temp + silicate	Atlantic	(28.15,28.2]	-0.7322707	-0.8535143	-0.5860886
temp + silicate	Atlantic	(28.2, Inf]	0.1243344	0.1029516	0.1585589
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5886942	-0.7304072	-0.4134355
temp + silicate	Indo-Pacific	(26,26.5]	-0.5983581	-0.7056902	-0.4414641
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6559000	-0.7986972	-0.5116111
temp + silicate	Indo-Pacific	(26.75,27]	-0.6665375	-0.7555756	-0.5235363
temp + silicate	Indo-Pacific	(27,27.25]	-0.4712380	-0.6110042	-0.2773684
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.1840683	-0.2617215	-0.0358741
temp + silicate	Indo-Pacific	(27.5,27.75]	0.0881966	-0.0312878	0.3061405
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.1004087	-0.2527401	0.0842936
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.1394052	-0.3099374	0.0038046
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0507047	-0.0768128	-0.0315407
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1386817	0.1292542	0.1490437
temp + silicate	Indo-Pacific	(28.1, Inf]	0.3792725	0.3609592	0.3969086

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
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

# 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]	0.4671008	0.3730262	0.5221879
aou	Atlantic	(26,26.5]	-0.0239276	-0.0913901	0.0977646
aou	Atlantic	(26.5,26.75]	-0.3793442	-0.3952330	-0.3493663
aou	Atlantic	(26.75,27]	-0.3116722	-0.3537832	-0.2534998
aou	Atlantic	(27,27.25]	-0.4727720	-0.6199072	-0.2814753
aou	Atlantic	(27.25,27.5]	-0.4469091	-0.5127680	-0.3610850
aou	Atlantic	(27.5,27.75]	-0.7758439	-0.8592448	-0.7137261
aou	Atlantic	(27.75,27.85]	-0.8946680	-0.9258250	-0.8703822
aou	Atlantic	(27.85,27.95]	-0.9107967	-0.9324195	-0.8952130
aou	Atlantic	(27.95,28.05]	-0.8592808	-0.8748708	-0.8472819
aou	Atlantic	(28.05,28.1]	-0.8221743	-0.8397756	-0.8057729
aou	Atlantic	(28.1,28.15]	-0.8431078	-0.8980750	-0.7803624
aou	Atlantic	(28.15,28.2]	-0.9416541	-0.9741670	-0.9252542
aou	Atlantic	(28.2, Inf]	-0.1435012	-0.3377411	0.0038101
aou	Indo-Pacific	(-Inf,26]	-0.1374768	-0.2783931	-0.0296537
aou	Indo-Pacific	(26,26.5]	-0.5252174	-0.7511095	-0.1102060
aou	Indo-Pacific	(26.5,26.75]	-0.5436246	-0.7514912	-0.1594647
aou	Indo-Pacific	(26.75,27]	-0.5763547	-0.8011718	-0.2233657
aou	Indo-Pacific	(27,27.25]	0.0514753	-0.0559593	0.1199432
aou	Indo-Pacific	(27.25,27.5]	0.5457756	0.4676893	0.6296138
aou	Indo-Pacific	(27.5,27.75]	0.6714955	0.5224945	0.7671822
aou	Indo-Pacific	(27.75,27.85]	0.7539057	0.6442028	0.8170411
aou	Indo-Pacific	(27.85,27.95]	0.6988792	0.5710057	0.7873547
aou	Indo-Pacific	(27.95,28.05]	0.4768031	0.3346954	0.6274441
aou	Indo-Pacific	(28.05,28.1]	0.2425520	0.1650987	0.3553593
aou	Indo-Pacific	(28.1, Inf]	0.3305887	0.1732684	0.6239130
nitrate	Atlantic	(-Inf,26]	0.2435953	0.1890790	0.2885970
nitrate	Atlantic	(26,26.5]	-0.4171495	-0.5460585	-0.3286098
nitrate	Atlantic	(26.5,26.75]	-0.6022184	-0.6756071	-0.5550320
nitrate	Atlantic	(26.75,27]	-0.5911515	-0.6598817	-0.5320819
nitrate	Atlantic	(27,27.25]	-0.7707016	-0.8478349	-0.6317318
nitrate	Atlantic	(27.25,27.5]	-0.8858959	-0.9221540	-0.8546435
nitrate	Atlantic	(27.5,27.75]	-0.9627807	-0.9711556	-0.9462781
nitrate	Atlantic	(27.75,27.85]	-0.9515804	-0.9599906	-0.9432608
nitrate	Atlantic	(27.85,27.95]	-0.9215932	-0.9254739	-0.9188139
nitrate	Atlantic	(27.95,28.05]	-0.8846519	-0.8979812	-0.8589254
nitrate	Atlantic	(28.05,28.1]	-0.8570217	-0.8760763	-0.8194358
nitrate	Atlantic	(28.1,28.15]	-0.8773739	-0.9215606	-0.8132620
nitrate	Atlantic	(28.15,28.2]	-0.9654490	-0.9834186	-0.9363250
nitrate	Atlantic	(28.2, Inf]	-0.7264076	-0.8235751	-0.6381889
nitrate	Indo-Pacific	(-Inf,26]	-0.1755429	-0.3314570	-0.0722300
nitrate	Indo-Pacific	(26,26.5]	-0.6202933	-0.8353552	-0.1906227
nitrate	Indo-Pacific	(26.5,26.75]	-0.6497392	-0.8705582	-0.2486914
nitrate	Indo-Pacific	(26.75,27]	-0.6799113	-0.8678638	-0.3324607
nitrate	Indo-Pacific	(27,27.25]	-0.0064390	-0.0738788	0.0665333
nitrate	Indo-Pacific	(27.25,27.5]	0.4872751	0.4204038	0.5656198
nitrate	Indo-Pacific	(27.5,27.75]	0.6266818	0.5141924	0.7063700
nitrate	Indo-Pacific	(27.75,27.85]	0.7307214	0.6578296	0.7792210
nitrate	Indo-Pacific	(27.85,27.95]	0.6649744	0.5650557	0.7506431
nitrate	Indo-Pacific	(27.95,28.05]	0.4114390	0.2736971	0.5885073
nitrate	Indo-Pacific	(28.05,28.1]	0.1582306	0.0741505	0.3220404
nitrate	Indo-Pacific	(28.1, Inf]	0.1273217	-0.0130586	0.4067377
phosphate	Atlantic	(-Inf,26]	-0.0832247	-0.1593536	0.0455608
phosphate	Atlantic	(26,26.5]	-0.6381158	-0.7200550	-0.5489943
phosphate	Atlantic	(26.5,26.75]	-0.7119699	-0.7574596	-0.6794453
phosphate	Atlantic	(26.75,27]	-0.7041977	-0.7633436	-0.6577977
phosphate	Atlantic	(27,27.25]	-0.8417616	-0.9001563	-0.7384574
phosphate	Atlantic	(27.25,27.5]	-0.9271251	-0.9528119	-0.9064898
phosphate	Atlantic	(27.5,27.75]	-0.9776080	-0.9844814	-0.9704197
phosphate	Atlantic	(27.75,27.85]	-0.9624848	-0.9733472	-0.9442620
phosphate	Atlantic	(27.85,27.95]	-0.9358337	-0.9429389	-0.9217501
phosphate	Atlantic	(27.95,28.05]	-0.8983291	-0.9231849	-0.8583343
phosphate	Atlantic	(28.05,28.1]	-0.8720867	-0.9014791	-0.8249710
phosphate	Atlantic	(28.1,28.15]	-0.8828398	-0.9365948	-0.8093536
phosphate	Atlantic	(28.15,28.2]	-0.9718199	-0.9846387	-0.9501335
phosphate	Atlantic	(28.2, Inf]	-0.7972389	-0.8684088	-0.7405413
phosphate	Indo-Pacific	(-Inf,26]	-0.1751875	-0.3612463	-0.0510219
phosphate	Indo-Pacific	(26,26.5]	-0.7051534	-0.8619524	-0.4067257
phosphate	Indo-Pacific	(26.5,26.75]	-0.7383199	-0.8888053	-0.4625659
phosphate	Indo-Pacific	(26.75,27]	-0.7361687	-0.8823906	-0.4754783
phosphate	Indo-Pacific	(27,27.25]	-0.0581016	-0.1043600	-0.0227379
phosphate	Indo-Pacific	(27.25,27.5]	0.4293425	0.2773980	0.5586613
phosphate	Indo-Pacific	(27.5,27.75]	0.5294555	0.2766443	0.6878220
phosphate	Indo-Pacific	(27.75,27.85]	0.6723416	0.5499347	0.7414161
phosphate	Indo-Pacific	(27.85,27.95]	0.6066715	0.4526668	0.7214370
phosphate	Indo-Pacific	(27.95,28.05]	0.3444359	0.1626219	0.5494990
phosphate	Indo-Pacific	(28.05,28.1]	0.0739753	-0.0301993	0.2586634
phosphate	Indo-Pacific	(28.1, Inf]	-0.0131106	-0.2080807	0.3129314
phosphate_star	Atlantic	(-Inf,26]	-0.3348075	-0.4749329	-0.2209477
phosphate_star	Atlantic	(26,26.5]	-0.7903763	-0.8468026	-0.7442634
phosphate_star	Atlantic	(26.5,26.75]	-0.8443466	-0.8809933	-0.8174529
phosphate_star	Atlantic	(26.75,27]	-0.9255469	-0.9333481	-0.9166909
phosphate_star	Atlantic	(27,27.25]	-0.9440557	-0.9635828	-0.9202766
phosphate_star	Atlantic	(27.25,27.5]	-0.9458053	-0.9703936	-0.9152797
phosphate_star	Atlantic	(27.5,27.75]	-0.9192426	-0.9595360	-0.8630780
phosphate_star	Atlantic	(27.75,27.85]	-0.8647603	-0.9211713	-0.7874209
phosphate_star	Atlantic	(27.85,27.95]	-0.7605977	-0.8237683	-0.6345280
phosphate_star	Atlantic	(27.95,28.05]	-0.8212003	-0.8533223	-0.7848385
phosphate_star	Atlantic	(28.05,28.1]	-0.8456034	-0.8893583	-0.8007792
phosphate_star	Atlantic	(28.1,28.15]	-0.8674983	-0.9291565	-0.7945713
phosphate_star	Atlantic	(28.15,28.2]	-0.9680817	-0.9843270	-0.9516938
phosphate_star	Atlantic	(28.2, Inf]	-0.8262057	-0.8627647	-0.7909635
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0843219	-0.3066840	0.0329100
phosphate_star	Indo-Pacific	(26,26.5]	-0.7937408	-0.8496942	-0.7243177
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7915963	-0.8827033	-0.6888888
phosphate_star	Indo-Pacific	(26.75,27]	-0.7164179	-0.8103870	-0.6328106
phosphate_star	Indo-Pacific	(27,27.25]	-0.2483196	-0.3842311	-0.0477351
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.3732292	-0.4506770	-0.3273443
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.5772720	-0.6487735	-0.5207672
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5500649	-0.7460231	-0.3484600
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3405354	-0.3653485	-0.2910256
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2623939	-0.3193566	-0.1544324
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3405077	-0.4645419	-0.1647320
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5028331	-0.6642608	-0.4016441
sal	Atlantic	(-Inf,26]	0.2420240	0.1352594	0.3096995
sal	Atlantic	(26,26.5]	0.7533049	0.6627203	0.8274733
sal	Atlantic	(26.5,26.75]	0.8121797	0.7838209	0.8665277
sal	Atlantic	(26.75,27]	0.8933413	0.8864460	0.9070119
sal	Atlantic	(27,27.25]	0.9175993	0.8854012	0.9401390
sal	Atlantic	(27.25,27.5]	0.9093701	0.8653868	0.9401312
sal	Atlantic	(27.5,27.75]	0.7852002	0.6657901	0.8755277
sal	Atlantic	(27.75,27.85]	0.5778842	0.3562073	0.7273589
sal	Atlantic	(27.85,27.95]	0.3418202	0.0751132	0.4794933
sal	Atlantic	(27.95,28.05]	0.4082340	0.2224128	0.6150208
sal	Atlantic	(28.05,28.1]	0.6038163	0.4769767	0.6709240
sal	Atlantic	(28.1,28.15]	0.7090079	0.5709591	0.8053360
sal	Atlantic	(28.15,28.2]	0.8968630	0.8501545	0.9475377
sal	Atlantic	(28.2, Inf]	0.7232020	0.6669954	0.8043833
sal	Indo-Pacific	(-Inf,26]	0.0315938	0.0166133	0.0473576
sal	Indo-Pacific	(26,26.5]	0.3925676	0.2005550	0.6408474
sal	Indo-Pacific	(26.5,26.75]	0.4386346	0.2821905	0.7263477
sal	Indo-Pacific	(26.75,27]	0.4286177	0.2897056	0.6437965
sal	Indo-Pacific	(27,27.25]	-0.2051566	-0.4585725	-0.0439433
sal	Indo-Pacific	(27.25,27.5]	-0.3153929	-0.5458368	-0.0611176
sal	Indo-Pacific	(27.5,27.75]	-0.2544747	-0.3827139	-0.1475396
sal	Indo-Pacific	(27.75,27.85]	-0.3961746	-0.5420821	-0.3064040
sal	Indo-Pacific	(27.85,27.95]	-0.3755086	-0.5579002	-0.2560126
sal	Indo-Pacific	(27.95,28.05]	-0.1066973	-0.1937785	-0.0186958
sal	Indo-Pacific	(28.05,28.1]	0.0393783	-0.1040261	0.1366644
sal	Indo-Pacific	(28.1, Inf]	0.2738178	0.2413232	0.3351305
silicate	Atlantic	(-Inf,26]	-0.0833214	-0.1441792	-0.0423863
silicate	Atlantic	(26,26.5]	-0.6037406	-0.7281797	-0.5036940
silicate	Atlantic	(26.5,26.75]	-0.6490465	-0.7309540	-0.5946621
silicate	Atlantic	(26.75,27]	-0.6276832	-0.6672138	-0.5646463
silicate	Atlantic	(27,27.25]	-0.8238227	-0.8560620	-0.7726417
silicate	Atlantic	(27.25,27.5]	-0.8919161	-0.9115528	-0.8785966
silicate	Atlantic	(27.5,27.75]	-0.8797944	-0.8853624	-0.8719444
silicate	Atlantic	(27.75,27.85]	-0.8769810	-0.9023011	-0.8449697
silicate	Atlantic	(27.85,27.95]	-0.8586671	-0.8794396	-0.8298963
silicate	Atlantic	(27.95,28.05]	-0.8331652	-0.8644350	-0.7742625
silicate	Atlantic	(28.05,28.1]	-0.8297105	-0.8564693	-0.7803447
silicate	Atlantic	(28.1,28.15]	-0.8596036	-0.9172935	-0.7800370
silicate	Atlantic	(28.15,28.2]	-0.9584524	-0.9806894	-0.9347349
silicate	Atlantic	(28.2, Inf]	-0.6493662	-0.8546599	-0.5313058
silicate	Indo-Pacific	(-Inf,26]	-0.2093268	-0.3742924	-0.1178962
silicate	Indo-Pacific	(26,26.5]	-0.6062908	-0.7409496	-0.3723726
silicate	Indo-Pacific	(26.5,26.75]	-0.6036846	-0.7685268	-0.4128952
silicate	Indo-Pacific	(26.75,27]	-0.5624227	-0.6782913	-0.3896066
silicate	Indo-Pacific	(27,27.25]	0.2262370	0.1660669	0.2760408
silicate	Indo-Pacific	(27.25,27.5]	0.7135299	0.5681180	0.7867488
silicate	Indo-Pacific	(27.5,27.75]	0.7769759	0.6003616	0.8658381
silicate	Indo-Pacific	(27.75,27.85]	0.7915994	0.7028921	0.8480242
silicate	Indo-Pacific	(27.85,27.95]	0.6910313	0.5665500	0.7824132
silicate	Indo-Pacific	(27.95,28.05]	0.4445640	0.2944626	0.6137300
silicate	Indo-Pacific	(28.05,28.1]	0.1779851	0.1104093	0.3002927
silicate	Indo-Pacific	(28.1, Inf]	0.0229222	-0.1108828	0.2312717
temp	Atlantic	(-Inf,26]	0.0414197	-0.1681224	0.1928321
temp	Atlantic	(26,26.5]	0.7199156	0.6499308	0.7767416
temp	Atlantic	(26.5,26.75]	0.7978848	0.7602552	0.8409740
temp	Atlantic	(26.75,27]	0.8728011	0.8575012	0.8823025
temp	Atlantic	(27,27.25]	0.8968117	0.8829552	0.9096589
temp	Atlantic	(27.25,27.5]	0.8961769	0.8591155	0.9251753
temp	Atlantic	(27.5,27.75]	0.7510037	0.6086760	0.8591461
temp	Atlantic	(27.75,27.85]	0.5755924	0.3384346	0.7350388
temp	Atlantic	(27.85,27.95]	0.3352127	0.0718935	0.5061097
temp	Atlantic	(27.95,28.05]	0.4175968	0.2308508	0.5822522
temp	Atlantic	(28.05,28.1]	0.5012599	0.3756658	0.5737842
temp	Atlantic	(28.1,28.15]	0.5070169	0.2326765	0.6649459
temp	Atlantic	(28.15,28.2]	0.6648341	0.5955683	0.7580837
temp	Atlantic	(28.2, Inf]	0.5881355	0.5342352	0.6415611
temp	Indo-Pacific	(-Inf,26]	-0.2690047	-0.3560723	-0.1956073
temp	Indo-Pacific	(26,26.5]	0.4021697	0.1575386	0.6299535
temp	Indo-Pacific	(26.5,26.75]	0.4395394	0.2980221	0.7068101
temp	Indo-Pacific	(26.75,27]	0.4683115	0.3522076	0.6652366
temp	Indo-Pacific	(27,27.25]	-0.0966188	-0.3208961	0.0200702
temp	Indo-Pacific	(27.25,27.5]	-0.2823753	-0.4764944	-0.0559777
temp	Indo-Pacific	(27.5,27.75]	-0.2862399	-0.4410565	-0.1339168
temp	Indo-Pacific	(27.75,27.85]	-0.3309924	-0.4823664	-0.2521182
temp	Indo-Pacific	(27.85,27.95]	-0.2632494	-0.4040855	-0.1511738
temp	Indo-Pacific	(27.95,28.05]	0.0218451	-0.0170575	0.0420196
temp	Indo-Pacific	(28.05,28.1]	0.1602482	0.1590938	0.1614049
temp	Indo-Pacific	(28.1, Inf]	0.3693136	0.1820099	0.6801117

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_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    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_1.4-1         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_2.1.0               
[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_1.5             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

23 February, 2021