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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
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
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
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
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
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
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
5017709 jens-daniel-mueller 2021-03-11
585b07f jens-daniel-mueller 2021-03-11
85a5ed2 jens-daniel-mueller 2021-03-10
6c0bec6 jens-daniel-mueller 2021-03-05
3c2ec33 jens-daniel-mueller 2021-03-05
af70b94 jens-daniel-mueller 2021-03-04
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] 0.4917536 0.3730262 0.5602732
aou Atlantic (26,26.5] 0.0109649 -0.0782161 0.1808215
aou Atlantic (26.5,26.75] -0.3600928 -0.3956907 -0.3068828
aou Atlantic (26.75,27] -0.3090945 -0.3479609 -0.2516213
aou Atlantic (27,27.25] -0.4752296 -0.6209449 -0.2814916
aou Atlantic (27.25,27.5] -0.4670378 -0.5138448 -0.3818186
aou Atlantic (27.5,27.75] -0.7833382 -0.8673683 -0.7132234
aou Atlantic (27.75,27.85] -0.8919222 -0.9148879 -0.8708334
aou Atlantic (27.85,27.95] -0.9095178 -0.9305096 -0.8918106
aou Atlantic (27.95,28.05] -0.8602300 -0.8746671 -0.8490015
aou Atlantic (28.05,28.1] -0.8229266 -0.8405763 -0.8070843
aou Atlantic (28.1,28.15] -0.8445945 -0.8984065 -0.7818127
aou Atlantic (28.15,28.2] -0.9436165 -0.9742581 -0.9268489
aou Atlantic (28.2, Inf] -0.7858928 -0.9056575 -0.6950280
aou Indo-Pacific (-Inf,26] -0.1435737 -0.2965778 -0.0295838
aou Indo-Pacific (26,26.5] -0.5263061 -0.7524381 -0.1120228
aou Indo-Pacific (26.5,26.75] -0.5388930 -0.7435635 -0.1617188
aou Indo-Pacific (26.75,27] -0.5767104 -0.7988568 -0.2263317
aou Indo-Pacific (27,27.25] 0.0424994 -0.0768529 0.1195788
aou Indo-Pacific (27.25,27.5] 0.4658921 0.3376760 0.5932270
aou Indo-Pacific (27.5,27.75] 0.2004824 -0.2672775 0.5215947
aou Indo-Pacific (27.75,27.85] 0.7531794 0.6422844 0.8170445
aou Indo-Pacific (27.85,27.95] 0.6976767 0.5680405 0.7873533
aou Indo-Pacific (27.95,28.05] 0.4754166 0.3317359 0.6273972
aou Indo-Pacific (28.05,28.1] 0.2420048 0.1648219 0.3556118
aou Indo-Pacific (28.1, Inf] 0.3333001 0.1647641 0.6222787
nitrate Atlantic (-Inf,26] 0.2706188 0.1890790 0.3144303
nitrate Atlantic (26,26.5] -0.3843303 -0.5461120 -0.2432332
nitrate Atlantic (26.5,26.75] -0.5899140 -0.6755431 -0.5441972
nitrate Atlantic (26.75,27] -0.5906205 -0.6576577 -0.5327311
nitrate Atlantic (27,27.25] -0.7711646 -0.8489735 -0.6315420
nitrate Atlantic (27.25,27.5] -0.8888690 -0.9237910 -0.8621535
nitrate Atlantic (27.5,27.75] -0.9616065 -0.9725935 -0.9444956
nitrate Atlantic (27.75,27.85] -0.9524850 -0.9599102 -0.9454400
nitrate Atlantic (27.85,27.95] -0.9213932 -0.9252024 -0.9180285
nitrate Atlantic (27.95,28.05] -0.8850950 -0.8980637 -0.8595069
nitrate Atlantic (28.05,28.1] -0.8575160 -0.8763750 -0.8204470
nitrate Atlantic (28.1,28.15] -0.8778472 -0.9214850 -0.8139649
nitrate Atlantic (28.15,28.2] -0.9662417 -0.9834867 -0.9377758
nitrate Atlantic (28.2, Inf] -0.9586077 -0.9815301 -0.9277784
nitrate Indo-Pacific (-Inf,26] -0.1823153 -0.3516212 -0.0721663
nitrate Indo-Pacific (26,26.5] -0.6220192 -0.8359956 -0.1945891
nitrate Indo-Pacific (26.5,26.75] -0.6499590 -0.8689714 -0.2533863
nitrate Indo-Pacific (26.75,27] -0.6811483 -0.8677222 -0.3359233
nitrate Indo-Pacific (27,27.25] -0.0236915 -0.1158928 0.0660275
nitrate Indo-Pacific (27.25,27.5] 0.3581680 0.1488366 0.5070914
nitrate Indo-Pacific (27.5,27.75] -0.0290765 -0.6212920 0.5118279
nitrate Indo-Pacific (27.75,27.85] 0.7295964 0.6545931 0.7792601
nitrate Indo-Pacific (27.85,27.95] 0.6635817 0.5613021 0.7506540
nitrate Indo-Pacific (27.95,28.05] 0.4100045 0.2703075 0.5884631
nitrate Indo-Pacific (28.05,28.1] 0.1577546 0.0742253 0.3221371
nitrate Indo-Pacific (28.1, Inf] 0.1274964 -0.0183656 0.4066289
phosphate Atlantic (-Inf,26] -0.0608373 -0.1358815 0.0525758
phosphate Atlantic (26,26.5] -0.6181260 -0.7200850 -0.4955701
phosphate Atlantic (26.5,26.75] -0.7017200 -0.7569707 -0.6719761
phosphate Atlantic (26.75,27] -0.7043180 -0.7624333 -0.6591296
phosphate Atlantic (27,27.25] -0.8419700 -0.9007008 -0.7382645
phosphate Atlantic (27.25,27.5] -0.9276430 -0.9535313 -0.9074504
phosphate Atlantic (27.5,27.75] -0.9768415 -0.9823910 -0.9693679
phosphate Atlantic (27.75,27.85] -0.9622270 -0.9734058 -0.9428738
phosphate Atlantic (27.85,27.95] -0.9354330 -0.9427913 -0.9215540
phosphate Atlantic (27.95,28.05] -0.8987919 -0.9228982 -0.8595385
phosphate Atlantic (28.05,28.1] -0.8725177 -0.9015547 -0.8261832
phosphate Atlantic (28.1,28.15] -0.8830906 -0.9359770 -0.8102417
phosphate Atlantic (28.15,28.2] -0.9723766 -0.9846602 -0.9511755
phosphate Atlantic (28.2, Inf] -0.9690086 -0.9863430 -0.9473937
phosphate Indo-Pacific (-Inf,26] -0.1810512 -0.3786865 -0.0509627
phosphate Indo-Pacific (26,26.5] -0.7061996 -0.8627682 -0.4089329
phosphate Indo-Pacific (26.5,26.75] -0.7379016 -0.8872065 -0.4652263
phosphate Indo-Pacific (26.75,27] -0.7368421 -0.8816275 -0.4779003
phosphate Indo-Pacific (27,27.25] -0.0727677 -0.1398993 -0.0307349
phosphate Indo-Pacific (27.25,27.5] 0.3159494 0.1653708 0.5068267
phosphate Indo-Pacific (27.5,27.75] -0.0508252 -0.5396975 0.2749606
phosphate Indo-Pacific (27.75,27.85] 0.6711511 0.5466591 0.7414224
phosphate Indo-Pacific (27.85,27.95] 0.6050540 0.4484909 0.7214407
phosphate Indo-Pacific (27.95,28.05] 0.3426994 0.1586618 0.5494479
phosphate Indo-Pacific (28.05,28.1] 0.0734624 -0.0316319 0.2587628
phosphate Indo-Pacific (28.1, Inf] -0.0113859 -0.2099873 0.3133548
phosphate_star Atlantic (-Inf,26] -0.3539674 -0.5060544 -0.2473059
phosphate_star Atlantic (26,26.5] -0.7907466 -0.8484055 -0.7437581
phosphate_star Atlantic (26.5,26.75] -0.8410562 -0.8805400 -0.8164313
phosphate_star Atlantic (26.75,27] -0.9255813 -0.9328026 -0.9166028
phosphate_star Atlantic (27,27.25] -0.9430866 -0.9631636 -0.9199098
phosphate_star Atlantic (27.25,27.5] -0.9380448 -0.9700168 -0.8966112
phosphate_star Atlantic (27.5,27.75] -0.9185957 -0.9585013 -0.8646405
phosphate_star Atlantic (27.75,27.85] -0.8650276 -0.9192541 -0.7924779
phosphate_star Atlantic (27.85,27.95] -0.7543778 -0.8179291 -0.6372514
phosphate_star Atlantic (27.95,28.05] -0.8213547 -0.8531979 -0.7858748
phosphate_star Atlantic (28.05,28.1] -0.8452698 -0.8872245 -0.8019842
phosphate_star Atlantic (28.1,28.15] -0.8667770 -0.9273407 -0.7952456
phosphate_star Atlantic (28.15,28.2] -0.9686021 -0.9842960 -0.9524432
phosphate_star Atlantic (28.2, Inf] -0.9533189 -0.9711841 -0.9260902
phosphate_star Indo-Pacific (-Inf,26] -0.0905429 -0.3251390 0.0326874
phosphate_star Indo-Pacific (26,26.5] -0.7947880 -0.8497539 -0.7258297
phosphate_star Indo-Pacific (26.5,26.75] -0.7942527 -0.8837255 -0.6942231
phosphate_star Indo-Pacific (26.75,27] -0.7175660 -0.8105785 -0.6353299
phosphate_star Indo-Pacific (27,27.25] -0.2691689 -0.3846044 -0.1039844
phosphate_star Indo-Pacific (27.25,27.5] -0.4247957 -0.4595130 -0.3630458
phosphate_star Indo-Pacific (27.5,27.75] -0.6503395 -0.8053808 -0.5215843
phosphate_star Indo-Pacific (27.75,27.85] -0.5510622 -0.7460036 -0.3513880
phosphate_star Indo-Pacific (27.85,27.95] -0.3416296 -0.3653946 -0.2941836
phosphate_star Indo-Pacific (27.95,28.05] -0.2635630 -0.3224055 -0.1544495
phosphate_star Indo-Pacific (28.05,28.1] -0.3405562 -0.4644392 -0.1652092
phosphate_star Indo-Pacific (28.1, Inf] -0.5049746 -0.6607115 -0.3905199
sal Atlantic (-Inf,26] 0.2563123 0.1469348 0.3408890
sal Atlantic (26,26.5] 0.7568389 0.6698772 0.8309119
sal Atlantic (26.5,26.75] 0.8039971 0.7584007 0.8684836
sal Atlantic (26.75,27] 0.8926109 0.8863692 0.9039610
sal Atlantic (27,27.25] 0.9160500 0.8850328 0.9394224
sal Atlantic (27.25,27.5] 0.8782483 0.7789270 0.9398903
sal Atlantic (27.5,27.75] 0.7751608 0.6503520 0.8733565
sal Atlantic (27.75,27.85] 0.5678140 0.3352602 0.7195514
sal Atlantic (27.85,27.95] 0.3287029 0.0770332 0.4580804
sal Atlantic (27.95,28.05] 0.4091495 0.2276301 0.6128801
sal Atlantic (28.05,28.1] 0.6027884 0.4781289 0.6663648
sal Atlantic (28.1,28.15] 0.7094860 0.5739108 0.8036837
sal Atlantic (28.15,28.2] 0.8994194 0.8527151 0.9476362
sal Atlantic (28.2, Inf] 0.9367675 0.9046553 0.9680329
sal Indo-Pacific (-Inf,26] 0.0381620 0.0164679 0.0505315
sal Indo-Pacific (26,26.5] 0.3926684 0.2051099 0.6404209
sal Indo-Pacific (26.5,26.75] 0.4417415 0.2860708 0.7274575
sal Indo-Pacific (26.75,27] 0.4265546 0.2905370 0.6442887
sal Indo-Pacific (27,27.25] -0.2006205 -0.4434842 -0.0435638
sal Indo-Pacific (27.25,27.5] -0.3199421 -0.5552847 -0.0596363
sal Indo-Pacific (27.5,27.75] -0.5078844 -0.8516388 -0.1460287
sal Indo-Pacific (27.75,27.85] -0.3949035 -0.5420548 -0.3027830
sal Indo-Pacific (27.85,27.95] -0.3740888 -0.5578103 -0.2556780
sal Indo-Pacific (27.95,28.05] -0.1058071 -0.1936779 -0.0184647
sal Indo-Pacific (28.05,28.1] 0.0393751 -0.1035102 0.1358241
sal Indo-Pacific (28.1, Inf] 0.2764156 0.2378949 0.3355831
silicate Atlantic (-Inf,26] -0.0775993 -0.1441792 -0.0217920
silicate Atlantic (26,26.5] -0.5858077 -0.7282007 -0.4577732
silicate Atlantic (26.5,26.75] -0.6405279 -0.7305526 -0.5782035
silicate Atlantic (26.75,27] -0.6263916 -0.6627213 -0.5653855
silicate Atlantic (27,27.25] -0.8240612 -0.8564835 -0.7726507
silicate Atlantic (27.25,27.5] -0.8919136 -0.9156945 -0.8788284
silicate Atlantic (27.5,27.75] -0.8826012 -0.8883380 -0.8769429
silicate Atlantic (27.75,27.85] -0.8753805 -0.9000278 -0.8419332
silicate Atlantic (27.85,27.95] -0.8571296 -0.8759299 -0.8294223
silicate Atlantic (27.95,28.05] -0.8326462 -0.8641494 -0.7740807
silicate Atlantic (28.05,28.1] -0.8300189 -0.8564978 -0.7812010
silicate Atlantic (28.1,28.15] -0.8599481 -0.9168016 -0.7809939
silicate Atlantic (28.15,28.2] -0.9595047 -0.9807500 -0.9361539
silicate Atlantic (28.2, Inf] -0.9397237 -0.9836293 -0.8962187
silicate Indo-Pacific (-Inf,26] -0.2172673 -0.3979809 -0.1175743
silicate Indo-Pacific (26,26.5] -0.6100735 -0.7412098 -0.3811331
silicate Indo-Pacific (26.5,26.75] -0.6073474 -0.7697464 -0.4218425
silicate Indo-Pacific (26.75,27] -0.5637284 -0.6788114 -0.3942412
silicate Indo-Pacific (27,27.25] 0.2112972 0.1651171 0.2384573
silicate Indo-Pacific (27.25,27.5] 0.6288934 0.5681519 0.7499655
silicate Indo-Pacific (27.5,27.75] 0.3217481 -0.1091213 0.6004575
silicate Indo-Pacific (27.75,27.85] 0.7910266 0.7013761 0.8479896
silicate Indo-Pacific (27.85,27.95] 0.6899112 0.5637544 0.7824094
silicate Indo-Pacific (27.95,28.05] 0.4430840 0.2910644 0.6136978
silicate Indo-Pacific (28.05,28.1] 0.1776256 0.1101309 0.3005072
silicate Indo-Pacific (28.1, Inf] 0.0234005 -0.0998673 0.2312253
temp Atlantic (-Inf,26] 0.0584315 -0.1368452 0.2125906
temp Atlantic (26,26.5] 0.7239282 0.6576875 0.7810057
temp Atlantic (26.5,26.75] 0.7898191 0.7354279 0.8425748
temp Atlantic (26.75,27] 0.8721377 0.8587290 0.8792235
temp Atlantic (27,27.25] 0.8948778 0.8825899 0.9084136
temp Atlantic (27.25,27.5] 0.8608920 0.7650406 0.9245941
temp Atlantic (27.5,27.75] 0.7437234 0.5981303 0.8568163
temp Atlantic (27.75,27.85] 0.5660730 0.3185842 0.7284348
temp Atlantic (27.85,27.95] 0.3181252 0.0742272 0.4687186
temp Atlantic (27.95,28.05] 0.4139715 0.2270505 0.5784936
temp Atlantic (28.05,28.1] 0.4975069 0.3718150 0.5733807
temp Atlantic (28.1,28.15] 0.5029340 0.2334330 0.6583530
temp Atlantic (28.15,28.2] 0.6639759 0.5947387 0.7581155
temp Atlantic (28.2, Inf] -0.0298954 -0.1116402 0.0673098
temp Indo-Pacific (-Inf,26] -0.2631985 -0.3558693 -0.1784548
temp Indo-Pacific (26,26.5] 0.4021541 0.1597111 0.6294047
temp Indo-Pacific (26.5,26.75] 0.4431122 0.3019583 0.7088943
temp Indo-Pacific (26.75,27] 0.4660656 0.3529561 0.6656630
temp Indo-Pacific (27,27.25] -0.0965359 -0.3176836 0.0165933
temp Indo-Pacific (27.25,27.5] -0.2950097 -0.5078502 -0.0544253
temp Indo-Pacific (27.5,27.75] -0.5185110 -0.8520250 -0.1328444
temp Indo-Pacific (27.75,27.85] -0.3300261 -0.4823942 -0.2493089
temp Indo-Pacific (27.85,27.95] -0.2625183 -0.4041141 -0.1510016
temp Indo-Pacific (27.95,28.05] 0.0221568 -0.0158620 0.0420037
temp Indo-Pacific (28.05,28.1] 0.1596164 0.1585571 0.1605734
temp Indo-Pacific (28.1, Inf] 0.3706701 0.1692627 0.6775273
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