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1 Required data

Required are:

  • cleaned and prepared GLODAP-based synthetic cmorized model subsetting file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

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

were investigated based on:

  • property-property plots and
  • calculated correlation coefficients.

2.1 Correlation plots

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

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

print(
GLODAP %>% 
  filter(basin == i_basin) %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c(params_local$MLR_target,
                      params_local$MLR_predictors),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin:", i_basin ,"| era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == i_basin))))
)
}

Version Author Date
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

Version Author Date
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

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

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

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

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

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

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

}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

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

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

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

2.2.2 Predictor pairs

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

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

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

Version Author Date
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
pair basin gamma_slab mean_r min_r max_r
aou + nitrate Atlantic (-Inf,26] 0.7335650 0.5633370 0.9037929
aou + nitrate Atlantic (26,26.5] 0.9050434 0.8609370 0.9809023
aou + nitrate Atlantic (26.5,26.75] 0.9630232 0.9596752 0.9693027
aou + nitrate Atlantic (26.75,27] 0.9834400 0.9783617 0.9870534
aou + nitrate Atlantic (27,27.25] 0.9678757 0.9620447 0.9765554
aou + nitrate Atlantic (27.25,27.5] 0.9330456 0.9142135 0.9550904
aou + nitrate Atlantic (27.5,27.75] 0.8400130 0.7484269 0.9322502
aou + nitrate Atlantic (27.75,27.85] 0.7075071 0.5460920 0.8546967
aou + nitrate Atlantic (27.85,27.95] 0.7098476 0.5598931 0.8133461
aou + nitrate Atlantic (27.95,28.05] 0.8285413 0.7049533 0.8949586
aou + nitrate Atlantic (28.05,28.1] 0.9477253 0.9196060 0.9640694
aou + nitrate Atlantic (28.1,28.15] 0.9638243 0.9301175 0.9832119
aou + nitrate Atlantic (28.15,28.2] 0.9784852 0.9658867 0.9924564
aou + nitrate Atlantic (28.2, Inf] 0.9227102 0.8909483 0.9583416
aou + nitrate Indo-Pacific (-Inf,26] 0.9236312 0.9102931 0.9441280
aou + nitrate Indo-Pacific (26,26.5] 0.8421671 0.7593874 0.8945239
aou + nitrate Indo-Pacific (26.5,26.75] 0.8644455 0.8429543 0.8921995
aou + nitrate Indo-Pacific (26.75,27] 0.8791595 0.8409108 0.9066909
aou + nitrate Indo-Pacific (27,27.25] 0.9210042 0.8757081 0.9511609
aou + nitrate Indo-Pacific (27.25,27.5] 0.9373771 0.9055056 0.9592301
aou + nitrate Indo-Pacific (27.5,27.75] 0.9576191 0.9309902 0.9736966
aou + nitrate Indo-Pacific (27.75,27.85] 0.9737047 0.9572718 0.9830497
aou + nitrate Indo-Pacific (27.85,27.95] 0.9800563 0.9654341 0.9875290
aou + nitrate Indo-Pacific (27.95,28.05] 0.9924435 0.9859885 0.9966303
aou + nitrate Indo-Pacific (28.05,28.1] 0.9918899 0.9859409 0.9957854
aou + nitrate Indo-Pacific (28.1, Inf] 0.9847029 0.9746634 0.9927489
aou + phosphate Atlantic (-Inf,26] 0.9305905 0.8861831 0.9749979
aou + phosphate Atlantic (26,26.5] 0.9106399 0.8859326 0.9569539
aou + phosphate Atlantic (26.5,26.75] 0.9250735 0.8999742 0.9525005
aou + phosphate Atlantic (26.75,27] 0.9557358 0.9486227 0.9601405
aou + phosphate Atlantic (27,27.25] 0.9250102 0.9099598 0.9326578
aou + phosphate Atlantic (27.25,27.5] 0.8941731 0.8653945 0.9245586
aou + phosphate Atlantic (27.5,27.75] 0.7989666 0.6922531 0.9056951
aou + phosphate Atlantic (27.75,27.85] 0.6722578 0.5001500 0.8338382
aou + phosphate Atlantic (27.85,27.95] 0.6853054 0.5307499 0.7989051
aou + phosphate Atlantic (27.95,28.05] 0.8161386 0.6937891 0.8856222
aou + phosphate Atlantic (28.05,28.1] 0.9436582 0.9163740 0.9597844
aou + phosphate Atlantic (28.1,28.15] 0.9606933 0.9264323 0.9793935
aou + phosphate Atlantic (28.15,28.2] 0.9792205 0.9684534 0.9911309
aou + phosphate Atlantic (28.2, Inf] 0.9013696 0.8574432 0.9612080
aou + phosphate Indo-Pacific (-Inf,26] 0.9501692 0.9437607 0.9549959
aou + phosphate Indo-Pacific (26,26.5] 0.9559645 0.9524614 0.9611692
aou + phosphate Indo-Pacific (26.5,26.75] 0.9617151 0.9557971 0.9734196
aou + phosphate Indo-Pacific (26.75,27] 0.9620987 0.9460100 0.9750621
aou + phosphate Indo-Pacific (27,27.25] 0.9726471 0.9548240 0.9835842
aou + phosphate Indo-Pacific (27.25,27.5] 0.9793704 0.9737977 0.9860921
aou + phosphate Indo-Pacific (27.5,27.75] 0.9839007 0.9779067 0.9894293
aou + phosphate Indo-Pacific (27.75,27.85] 0.9922232 0.9894753 0.9937655
aou + phosphate Indo-Pacific (27.85,27.95] 0.9943008 0.9932912 0.9955111
aou + phosphate Indo-Pacific (27.95,28.05] 0.9959682 0.9952957 0.9970581
aou + phosphate Indo-Pacific (28.05,28.1] 0.9951771 0.9937517 0.9965008
aou + phosphate Indo-Pacific (28.1, Inf] 0.9881428 0.9819434 0.9932812
aou + phosphate_star Atlantic (-Inf,26] 0.1924238 0.0327941 0.3520535
aou + phosphate_star Atlantic (26,26.5] 0.5150433 0.2842431 0.8810275
aou + phosphate_star Atlantic (26.5,26.75] 0.3127622 0.0746575 0.7569534
aou + phosphate_star Atlantic (26.75,27] -0.0966408 -0.1515821 0.0068415
aou + phosphate_star Atlantic (27,27.25] -0.0638784 -0.2779478 0.0536170
aou + phosphate_star Atlantic (27.25,27.5] 0.0519467 -0.0223591 0.1292696
aou + phosphate_star Atlantic (27.5,27.75] 0.2147566 0.0627190 0.4099147
aou + phosphate_star Atlantic (27.75,27.85] 0.2612324 0.0050193 0.5490651
aou + phosphate_star Atlantic (27.85,27.95] 0.3451747 0.1549163 0.5099633
aou + phosphate_star Atlantic (27.95,28.05] 0.6009887 0.4404639 0.6974088
aou + phosphate_star Atlantic (28.05,28.1] 0.8514693 0.8176705 0.8866030
aou + phosphate_star Atlantic (28.1,28.15] 0.8933550 0.8284641 0.9265981
aou + phosphate_star Atlantic (28.15,28.2] 0.9340517 0.9082271 0.9640288
aou + phosphate_star Atlantic (28.2, Inf] 0.8113440 0.7410136 0.9014739
aou + phosphate_star Indo-Pacific (-Inf,26] 0.5131357 0.4207238 0.5745539
aou + phosphate_star Indo-Pacific (26,26.5] 0.4391442 0.3171674 0.5161931
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4025692 0.2961597 0.6024387
aou + phosphate_star Indo-Pacific (26.75,27] 0.5908024 0.4624665 0.6814037
aou + phosphate_star Indo-Pacific (27,27.25] 0.6766154 0.6192988 0.7438377
aou + phosphate_star Indo-Pacific (27.25,27.5] 0.4840860 0.3805356 0.5513530
aou + phosphate_star Indo-Pacific (27.5,27.75] 0.0534293 -0.0517640 0.1123357
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.2104302 -0.2443527 -0.1534372
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.2920258 -0.4197583 -0.0854786
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.2969245 -0.4838904 -0.0899341
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.1827986 -0.3270789 -0.0546247
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.4264246 -0.4903509 -0.3187680
aou + silicate Atlantic (-Inf,26] 0.0300308 -0.0955795 0.1556412
aou + silicate Atlantic (26,26.5] 0.4822030 0.2009060 0.9528781
aou + silicate Atlantic (26.5,26.75] 0.7034496 0.5654080 0.9442311
aou + silicate Atlantic (26.75,27] 0.7856226 0.7608808 0.8157789
aou + silicate Atlantic (27,27.25] 0.5906486 0.5106398 0.6473687
aou + silicate Atlantic (27.25,27.5] 0.6160252 0.5758629 0.6436375
aou + silicate Atlantic (27.5,27.75] 0.5411438 0.3987731 0.7280833
aou + silicate Atlantic (27.75,27.85] 0.4223552 0.2482406 0.6489140
aou + silicate Atlantic (27.85,27.95] 0.4726133 0.3452620 0.6426531
aou + silicate Atlantic (27.95,28.05] 0.6611841 0.5943645 0.7344191
aou + silicate Atlantic (28.05,28.1] 0.8790386 0.8689051 0.8853735
aou + silicate Atlantic (28.1,28.15] 0.9284537 0.9085933 0.9438542
aou + silicate Atlantic (28.15,28.2] 0.9490249 0.9422450 0.9571863
aou + silicate Atlantic (28.2, Inf] 0.6504663 0.5258560 0.8606818
aou + silicate Indo-Pacific (-Inf,26] 0.7975318 0.7381372 0.8689219
aou + silicate Indo-Pacific (26,26.5] 0.7838575 0.7410702 0.8071430
aou + silicate Indo-Pacific (26.5,26.75] 0.7655377 0.7275304 0.8219585
aou + silicate Indo-Pacific (26.75,27] 0.8534460 0.8297651 0.8938548
aou + silicate Indo-Pacific (27,27.25] 0.9089018 0.8891031 0.9398340
aou + silicate Indo-Pacific (27.25,27.5] 0.9273120 0.9004853 0.9562730
aou + silicate Indo-Pacific (27.5,27.75] 0.9421214 0.9289791 0.9629093
aou + silicate Indo-Pacific (27.75,27.85] 0.9650236 0.9571369 0.9760793
aou + silicate Indo-Pacific (27.85,27.95] 0.9744034 0.9659932 0.9802836
aou + silicate Indo-Pacific (27.95,28.05] 0.9822875 0.9738221 0.9867560
aou + silicate Indo-Pacific (28.05,28.1] 0.9903835 0.9858837 0.9937399
aou + silicate Indo-Pacific (28.1, Inf] 0.8644368 0.8317016 0.8841020
nitrate + phosphate Atlantic (-Inf,26] 0.5312160 0.1782070 0.8842251
nitrate + phosphate Atlantic (26,26.5] 0.8085594 0.7040927 0.9861712
nitrate + phosphate Atlantic (26.5,26.75] 0.9520686 0.9191009 0.9957548
nitrate + phosphate Atlantic (26.75,27] 0.9747765 0.9700145 0.9783517
nitrate + phosphate Atlantic (27,27.25] 0.9838183 0.9815681 0.9863792
nitrate + phosphate Atlantic (27.25,27.5] 0.9908583 0.9872502 0.9939364
nitrate + phosphate Atlantic (27.5,27.75] 0.9953720 0.9947324 0.9961978
nitrate + phosphate Atlantic (27.75,27.85] 0.9984504 0.9981140 0.9990183
nitrate + phosphate Atlantic (27.85,27.95] 0.9989389 0.9986480 0.9994593
nitrate + phosphate Atlantic (27.95,28.05] 0.9992539 0.9987831 0.9995573
nitrate + phosphate Atlantic (28.05,28.1] 0.9996390 0.9994601 0.9997887
nitrate + phosphate Atlantic (28.1,28.15] 0.9994927 0.9992831 0.9996977
nitrate + phosphate Atlantic (28.15,28.2] 0.9970378 0.9959606 0.9979578
nitrate + phosphate Atlantic (28.2, Inf] 0.9935555 0.9930431 0.9940317
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9692586 0.9542758 0.9866553
nitrate + phosphate Indo-Pacific (26,26.5] 0.8825125 0.7863041 0.9359321
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.9056583 0.8933422 0.9267855
nitrate + phosphate Indo-Pacific (26.75,27] 0.9162342 0.8825052 0.9333893
nitrate + phosphate Indo-Pacific (27,27.25] 0.9429089 0.9002658 0.9788084
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9531094 0.9184359 0.9737356
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9752061 0.9553426 0.9870870
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9887622 0.9832792 0.9919753
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9919393 0.9841898 0.9958646
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9979575 0.9947535 0.9996409
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9980135 0.9951242 0.9996144
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9956344 0.9911493 0.9982714
nitrate + phosphate_star Atlantic (-Inf,26] 0.2090337 0.0796168 0.3384507
nitrate + phosphate_star Atlantic (26,26.5] 0.4647466 0.1862508 0.9405968
nitrate + phosphate_star Atlantic (26.5,26.75] 0.4373819 0.1897066 0.9011858
nitrate + phosphate_star Atlantic (26.75,27] 0.0065316 -0.0501570 0.1009571
nitrate + phosphate_star Atlantic (27,27.25] 0.1604056 -0.0772352 0.2944745
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3620980 0.3190826 0.4014181
nitrate + phosphate_star Atlantic (27.5,27.75] 0.6774994 0.6592104 0.6877566
nitrate + phosphate_star Atlantic (27.75,27.85] 0.8579114 0.8362199 0.9007911
nitrate + phosphate_star Atlantic (27.85,27.95] 0.9002826 0.8854689 0.9130209
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9402731 0.9331144 0.9455332
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9719270 0.9631842 0.9772197
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9781847 0.9750751 0.9818328
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9826868 0.9798862 0.9848929
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9684011 0.9595406 0.9790465
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.7376466 0.6399507 0.7865135
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.6413715 0.5021672 0.7560985
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.6215662 0.5324442 0.7625687
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.7539708 0.6873471 0.8032061
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.7952358 0.7750655 0.8280973
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.6184440 0.5892117 0.6496032
nitrate + phosphate_star Indo-Pacific (27.5,27.75] 0.2278712 0.1544228 0.2968687
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.0609270 -0.1376935 0.0030740
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.1658109 -0.3134872 0.0580676
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.1935981 -0.3958143 0.0576411
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.0697323 -0.2262561 0.0973474
nitrate + phosphate_star Indo-Pacific (28.1, Inf] -0.2818770 -0.3906295 -0.1240913
nitrate + silicate Atlantic (-Inf,26] 0.6393617 0.5198502 0.7588733
nitrate + silicate Atlantic (26,26.5] 0.7598237 0.6163665 0.9789263
nitrate + silicate Atlantic (26.5,26.75] 0.7998921 0.6970189 0.9913649
nitrate + silicate Atlantic (26.75,27] 0.8492117 0.8354339 0.8727863
nitrate + silicate Atlantic (27,27.25] 0.7514637 0.6606421 0.8112319
nitrate + silicate Atlantic (27.25,27.5] 0.8397821 0.8199522 0.8694881
nitrate + silicate Atlantic (27.5,27.75] 0.8848508 0.8640540 0.9145687
nitrate + silicate Atlantic (27.75,27.85] 0.9083939 0.8834354 0.9311250
nitrate + silicate Atlantic (27.85,27.95] 0.9257426 0.8855581 0.9523597
nitrate + silicate Atlantic (27.95,28.05] 0.9342230 0.8983331 0.9616378
nitrate + silicate Atlantic (28.05,28.1] 0.9624364 0.9463005 0.9819506
nitrate + silicate Atlantic (28.1,28.15] 0.9731766 0.9622198 0.9859676
nitrate + silicate Atlantic (28.15,28.2] 0.9481003 0.9390086 0.9588966
nitrate + silicate Atlantic (28.2, Inf] 0.8074569 0.7611962 0.8541288
nitrate + silicate Indo-Pacific (-Inf,26] 0.8612675 0.7682704 0.9361550
nitrate + silicate Indo-Pacific (26,26.5] 0.8607367 0.7486076 0.9202693
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8838949 0.8441458 0.9111136
nitrate + silicate Indo-Pacific (26.75,27] 0.9214816 0.9080217 0.9347240
nitrate + silicate Indo-Pacific (27,27.25] 0.9497490 0.9343980 0.9604966
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9603147 0.9490764 0.9699164
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9749253 0.9707428 0.9818345
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9865804 0.9800300 0.9899654
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9866311 0.9832181 0.9901609
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9892828 0.9852762 0.9921006
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9936434 0.9929740 0.9940662
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8655078 0.8465271 0.8788770
phosphate + phosphate_star Atlantic (-Inf,26] 0.3664916 0.1663615 0.5666217
phosphate + phosphate_star Atlantic (26,26.5] 0.8016301 0.6761316 0.9790620
phosphate + phosphate_star Atlantic (26.5,26.75] 0.6300733 0.4754222 0.9193541
phosphate + phosphate_star Atlantic (26.75,27] 0.1867533 0.1233900 0.3115624
phosphate + phosphate_star Atlantic (27,27.25] 0.3081321 0.0849353 0.4544441
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4723431 0.4533760 0.4903501
phosphate + phosphate_star Atlantic (27.5,27.75] 0.7384830 0.7175301 0.7503584
phosphate + phosphate_star Atlantic (27.75,27.85] 0.8832294 0.8658414 0.9178540
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9160021 0.9063275 0.9236091
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9487440 0.9459559 0.9509597
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9757556 0.9678362 0.9801803
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9817723 0.9776405 0.9854387
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9860748 0.9829986 0.9900762
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9814348 0.9770969 0.9843930
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.7381219 0.6632634 0.7784507
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.6716031 0.5802919 0.7458379
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6213273 0.5419019 0.7621253
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.7648411 0.6745524 0.8149628
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.8124096 0.7612061 0.8431494
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.6400331 0.5615439 0.6830403
phosphate + phosphate_star Indo-Pacific (27.5,27.75] 0.2194307 0.1232419 0.2999044
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.0984269 -0.1440939 -0.0409752
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.1982766 -0.3160108 0.0072337
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.2141652 -0.4010358 0.0039066
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.0897298 -0.2361792 0.0526864
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.2905308 -0.3913724 -0.1401240
sal + aou Atlantic (-Inf,26] -0.3204178 -0.3994769 -0.2413586
sal + aou Atlantic (26,26.5] -0.4783407 -0.8531464 -0.2192672
sal + aou Atlantic (26.5,26.75] -0.0566807 -0.6224283 0.2452195
sal + aou Atlantic (26.75,27] 0.4942107 0.3068334 0.6085418
sal + aou Atlantic (27,27.25] 0.4436801 0.2562087 0.6635816
sal + aou Atlantic (27.25,27.5] 0.5718825 0.4706042 0.6628792
sal + aou Atlantic (27.5,27.75] 0.5626389 0.4705841 0.7073681
sal + aou Atlantic (27.75,27.85] 0.3888718 0.2929205 0.4418724
sal + aou Atlantic (27.85,27.95] 0.2020083 0.1682881 0.2241345
sal + aou Atlantic (27.95,28.05] -0.1903385 -0.2021761 -0.1828784
sal + aou Atlantic (28.05,28.1] -0.7190132 -0.7516561 -0.6626590
sal + aou Atlantic (28.1,28.15] -0.8559950 -0.8913566 -0.8157769
sal + aou Atlantic (28.15,28.2] -0.8754586 -0.9205737 -0.8511678
sal + aou Atlantic (28.2, Inf] -0.8823846 -0.9204041 -0.8548853
sal + aou Indo-Pacific (-Inf,26] -0.1506148 -0.2804254 0.0595223
sal + aou Indo-Pacific (26,26.5] -0.2301159 -0.3878321 -0.0376123
sal + aou Indo-Pacific (26.5,26.75] -0.1258048 -0.4397295 0.1462859
sal + aou Indo-Pacific (26.75,27] -0.3228778 -0.5775320 -0.0633531
sal + aou Indo-Pacific (27,27.25] -0.5919131 -0.7020105 -0.5214196
sal + aou Indo-Pacific (27.25,27.5] -0.4802429 -0.6218791 -0.3107113
sal + aou Indo-Pacific (27.5,27.75] -0.0141813 -0.1402465 0.1626826
sal + aou Indo-Pacific (27.75,27.85] 0.3808241 0.3666611 0.3960690
sal + aou Indo-Pacific (27.85,27.95] 0.5780411 0.5047393 0.6617020
sal + aou Indo-Pacific (27.95,28.05] 0.7828265 0.6532498 0.8573758
sal + aou Indo-Pacific (28.05,28.1] 0.8456085 0.7295140 0.9238303
sal + aou Indo-Pacific (28.1, Inf] 0.5355616 0.4971850 0.5637747
sal + nitrate Atlantic (-Inf,26] -0.7546064 -0.8205875 -0.6886253
sal + nitrate Atlantic (26,26.5] -0.5121411 -0.8996957 -0.2605841
sal + nitrate Atlantic (26.5,26.75] -0.1647652 -0.7938955 0.1604415
sal + nitrate Atlantic (26.75,27] 0.4667639 0.2882587 0.5777858
sal + nitrate Atlantic (27,27.25] 0.3035286 0.1199041 0.5258819
sal + nitrate Atlantic (27.25,27.5] 0.4402242 0.3405527 0.5194685
sal + nitrate Atlantic (27.5,27.75] 0.3405238 0.1433109 0.5911489
sal + nitrate Atlantic (27.75,27.85] -0.1934319 -0.3203870 -0.1279804
sal + nitrate Atlantic (27.85,27.95] -0.4266939 -0.5763929 -0.3304256
sal + nitrate Atlantic (27.95,28.05] -0.5957523 -0.7580460 -0.4968374
sal + nitrate Atlantic (28.05,28.1] -0.8729908 -0.9281261 -0.8296721
sal + nitrate Atlantic (28.1,28.15] -0.9423524 -0.9536346 -0.9317309
sal + nitrate Atlantic (28.15,28.2] -0.9357800 -0.9538010 -0.9082763
sal + nitrate Atlantic (28.2, Inf] -0.9428290 -0.9569918 -0.9261285
sal + nitrate Indo-Pacific (-Inf,26] -0.3263555 -0.4980194 -0.0953855
sal + nitrate Indo-Pacific (26,26.5] -0.5143425 -0.6627883 -0.4135767
sal + nitrate Indo-Pacific (26.5,26.75] -0.3844451 -0.6528597 -0.0515241
sal + nitrate Indo-Pacific (26.75,27] -0.4939654 -0.7224854 -0.1435948
sal + nitrate Indo-Pacific (27,27.25] -0.6784703 -0.7918619 -0.5364588
sal + nitrate Indo-Pacific (27.25,27.5] -0.5513750 -0.6811552 -0.4438183
sal + nitrate Indo-Pacific (27.5,27.75] -0.0334422 -0.1672287 0.0978705
sal + nitrate Indo-Pacific (27.75,27.85] 0.3985683 0.2235271 0.5575012
sal + nitrate Indo-Pacific (27.85,27.95] 0.5775110 0.3788639 0.7165607
sal + nitrate Indo-Pacific (27.95,28.05] 0.7219243 0.5381012 0.8357783
sal + nitrate Indo-Pacific (28.05,28.1] 0.7871895 0.6227233 0.8995906
sal + nitrate Indo-Pacific (28.1, Inf] 0.4599657 0.3846662 0.5026769
sal + phosphate Atlantic (-Inf,26] -0.1142834 -0.3269080 0.0983411
sal + phosphate Atlantic (26,26.5] -0.6687053 -0.9476169 -0.4932178
sal + phosphate Atlantic (26.5,26.75] -0.3466665 -0.8158702 -0.0757684
sal + phosphate Atlantic (26.75,27] 0.3274259 0.1049054 0.4536990
sal + phosphate Atlantic (27,27.25] 0.1682333 -0.0346937 0.3893519
sal + phosphate Atlantic (27.25,27.5] 0.3290786 0.2266075 0.4349773
sal + phosphate Atlantic (27.5,27.75] 0.2624294 0.0551169 0.5181843
sal + phosphate Atlantic (27.75,27.85] -0.2384844 -0.3680020 -0.1661803
sal + phosphate Atlantic (27.85,27.95] -0.4584981 -0.6058681 -0.3556585
sal + phosphate Atlantic (27.95,28.05] -0.6099509 -0.7652323 -0.5097947
sal + phosphate Atlantic (28.05,28.1] -0.8810712 -0.9312897 -0.8386271
sal + phosphate Atlantic (28.1,28.15] -0.9459196 -0.9551028 -0.9370812
sal + phosphate Atlantic (28.15,28.2] -0.9156441 -0.9388487 -0.8793491
sal + phosphate Atlantic (28.2, Inf] -0.9083260 -0.9237634 -0.8868130
sal + phosphate Indo-Pacific (-Inf,26] -0.3026919 -0.4334169 -0.1461461
sal + phosphate Indo-Pacific (26,26.5] -0.4160831 -0.5984388 -0.2742935
sal + phosphate Indo-Pacific (26.5,26.75] -0.2806801 -0.5861523 0.0887523
sal + phosphate Indo-Pacific (26.75,27] -0.3894995 -0.6637643 0.0335869
sal + phosphate Indo-Pacific (27,27.25] -0.6149343 -0.7512792 -0.4349567
sal + phosphate Indo-Pacific (27.25,27.5] -0.5086577 -0.6590515 -0.4045682
sal + phosphate Indo-Pacific (27.5,27.75] -0.0264336 -0.1701806 0.0703699
sal + phosphate Indo-Pacific (27.75,27.85] 0.3733699 0.2849501 0.4551968
sal + phosphate Indo-Pacific (27.85,27.95] 0.5533550 0.4364771 0.6148228
sal + phosphate Indo-Pacific (27.95,28.05] 0.7454362 0.6033657 0.8354729
sal + phosphate Indo-Pacific (28.05,28.1] 0.8131745 0.6859624 0.9041788
sal + phosphate Indo-Pacific (28.1, Inf] 0.5128844 0.4651937 0.5391572
sal + phosphate_star Atlantic (-Inf,26] -0.2720794 -0.3974519 -0.1467068
sal + phosphate_star Atlantic (26,26.5] -0.8580786 -0.9792498 -0.7662047
sal + phosphate_star Atlantic (26.5,26.75] -0.8790001 -0.9612569 -0.8377343
sal + phosphate_star Atlantic (26.75,27] -0.7181413 -0.7572113 -0.6974363
sal + phosphate_star Atlantic (27,27.25] -0.7732933 -0.8318105 -0.7323443
sal + phosphate_star Atlantic (27.25,27.5] -0.5563329 -0.6112252 -0.4735627
sal + phosphate_star Atlantic (27.5,27.75] -0.3171658 -0.4833084 -0.0949036
sal + phosphate_star Atlantic (27.75,27.85] -0.5957162 -0.7171250 -0.4939222
sal + phosphate_star Atlantic (27.85,27.95] -0.7299653 -0.8325706 -0.6420408
sal + phosphate_star Atlantic (27.95,28.05] -0.7773382 -0.8940378 -0.6969602
sal + phosphate_star Atlantic (28.05,28.1] -0.9467983 -0.9743156 -0.9305827
sal + phosphate_star Atlantic (28.1,28.15] -0.9745387 -0.9798802 -0.9659516
sal + phosphate_star Atlantic (28.15,28.2] -0.9345205 -0.9582777 -0.8926780
sal + phosphate_star Atlantic (28.2, Inf] -0.8911064 -0.9228341 -0.8622036
sal + phosphate_star Indo-Pacific (-Inf,26] -0.6448486 -0.7244787 -0.5964603
sal + phosphate_star Indo-Pacific (26,26.5] -0.8359790 -0.9166849 -0.7345415
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.7912455 -0.9335964 -0.5248414
sal + phosphate_star Indo-Pacific (26.75,27] -0.6941189 -0.9497243 -0.2520831
sal + phosphate_star Indo-Pacific (27,27.25] -0.7519168 -0.9519936 -0.4201317
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.6084076 -0.8904885 -0.2037871
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.3387310 -0.8503772 0.3095791
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.4371536 -0.9016106 0.1293424
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.5985637 -0.7998840 -0.2573470
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.6533689 -0.7778812 -0.5506055
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5129286 -0.6237510 -0.3955206
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.4098244 -0.4651391 -0.3757137
sal + silicate Atlantic (-Inf,26] -0.8561457 -0.9222475 -0.7900439
sal + silicate Atlantic (26,26.5] -0.2154679 -0.8357616 0.1765147
sal + silicate Atlantic (26.5,26.75] -0.0573898 -0.7873285 0.3316367
sal + silicate Atlantic (26.75,27] 0.2430778 0.1729453 0.3496892
sal + silicate Atlantic (27,27.25] -0.1828220 -0.1900250 -0.1717058
sal + silicate Atlantic (27.25,27.5] 0.1214060 0.0325742 0.1989200
sal + silicate Atlantic (27.5,27.75] 0.0507890 -0.1548584 0.3179770
sal + silicate Atlantic (27.75,27.85] -0.4967278 -0.5766301 -0.4273043
sal + silicate Atlantic (27.85,27.95] -0.6758897 -0.7623220 -0.5623866
sal + silicate Atlantic (27.95,28.05] -0.7738357 -0.8442100 -0.6924272
sal + silicate Atlantic (28.05,28.1] -0.9420287 -0.9526872 -0.9248407
sal + silicate Atlantic (28.1,28.15] -0.9522545 -0.9539223 -0.9505304
sal + silicate Atlantic (28.15,28.2] -0.8155408 -0.8480191 -0.7623203
sal + silicate Atlantic (28.2, Inf] -0.6182473 -0.7023908 -0.5265288
sal + silicate Indo-Pacific (-Inf,26] -0.5199755 -0.6387587 -0.4302120
sal + silicate Indo-Pacific (26,26.5] -0.5927134 -0.6980769 -0.5260752
sal + silicate Indo-Pacific (26.5,26.75] -0.5409559 -0.7461597 -0.2419806
sal + silicate Indo-Pacific (26.75,27] -0.5600909 -0.7476241 -0.2099372
sal + silicate Indo-Pacific (27,27.25] -0.6975908 -0.7906804 -0.5128149
sal + silicate Indo-Pacific (27.25,27.5] -0.6025482 -0.7116815 -0.4549977
sal + silicate Indo-Pacific (27.5,27.75] -0.0981330 -0.2201718 0.0787900
sal + silicate Indo-Pacific (27.75,27.85] 0.3335259 0.1453432 0.4992782
sal + silicate Indo-Pacific (27.85,27.95] 0.5191864 0.3201663 0.6422390
sal + silicate Indo-Pacific (27.95,28.05] 0.7213149 0.5300472 0.8428186
sal + silicate Indo-Pacific (28.05,28.1] 0.8010499 0.6477496 0.9104875
sal + silicate Indo-Pacific (28.1, Inf] 0.7649419 0.6928230 0.8232427
sal + temp Atlantic (-Inf,26] 0.8083028 0.7461379 0.8704676
sal + temp Atlantic (26,26.5] 0.9526948 0.9211262 0.9870275
sal + temp Atlantic (26.5,26.75] 0.9798396 0.9719448 0.9905630
sal + temp Atlantic (26.75,27] 0.9752589 0.9645813 0.9823861
sal + temp Atlantic (27,27.25] 0.9622755 0.9507564 0.9702431
sal + temp Atlantic (27.25,27.5] 0.9817821 0.9741280 0.9878092
sal + temp Atlantic (27.5,27.75] 0.9667927 0.9622133 0.9727364
sal + temp Atlantic (27.75,27.85] 0.9693550 0.9611117 0.9763294
sal + temp Atlantic (27.85,27.95] 0.9673373 0.9625349 0.9738680
sal + temp Atlantic (27.95,28.05] 0.9511064 0.9390323 0.9716430
sal + temp Atlantic (28.05,28.1] 0.9649221 0.9471342 0.9803727
sal + temp Atlantic (28.1,28.15] 0.9579347 0.9475860 0.9739807
sal + temp Atlantic (28.15,28.2] 0.9424011 0.9144874 0.9727348
sal + temp Atlantic (28.2, Inf] 0.9409074 0.9235060 0.9555321
sal + temp Indo-Pacific (-Inf,26] 0.6829503 0.5361236 0.7782521
sal + temp Indo-Pacific (26,26.5] 0.9453113 0.9115139 0.9624629
sal + temp Indo-Pacific (26.5,26.75] 0.9816053 0.9725058 0.9869439
sal + temp Indo-Pacific (26.75,27] 0.9824705 0.9793285 0.9848129
sal + temp Indo-Pacific (27,27.25] 0.9801434 0.9737078 0.9851020
sal + temp Indo-Pacific (27.25,27.5] 0.9328760 0.9188721 0.9511511
sal + temp Indo-Pacific (27.5,27.75] 0.8380719 0.7974836 0.8983795
sal + temp Indo-Pacific (27.75,27.85] 0.9448039 0.9276493 0.9539238
sal + temp Indo-Pacific (27.85,27.95] 0.9333311 0.9303790 0.9350672
sal + temp Indo-Pacific (27.95,28.05] 0.9015998 0.8698214 0.9288661
sal + temp Indo-Pacific (28.05,28.1] 0.9445196 0.9437904 0.9457463
sal + temp Indo-Pacific (28.1, Inf] 0.6252920 0.6234524 0.6283661
silicate + phosphate Atlantic (-Inf,26] -0.1970603 -0.4925249 0.0984044
silicate + phosphate Atlantic (26,26.5] 0.2965113 -0.1051566 0.9541628
silicate + phosphate Atlantic (26.5,26.75] 0.6451564 0.4232961 0.9894357
silicate + phosphate Atlantic (26.75,27] 0.8651635 0.8303741 0.9202074
silicate + phosphate Atlantic (27,27.25] 0.8239866 0.7596970 0.8739929
silicate + phosphate Atlantic (27.25,27.5] 0.8824400 0.8628239 0.9105392
silicate + phosphate Atlantic (27.5,27.75] 0.9169709 0.8966984 0.9417754
silicate + phosphate Atlantic (27.75,27.85] 0.9289656 0.9086807 0.9456616
silicate + phosphate Atlantic (27.85,27.95] 0.9406563 0.9077103 0.9611970
silicate + phosphate Atlantic (27.95,28.05] 0.9447455 0.9154096 0.9677473
silicate + phosphate Atlantic (28.05,28.1] 0.9688241 0.9558658 0.9851021
silicate + phosphate Atlantic (28.1,28.15] 0.9792528 0.9707562 0.9891228
silicate + phosphate Atlantic (28.15,28.2] 0.9676386 0.9634954 0.9736310
silicate + phosphate Atlantic (28.2, Inf] 0.8661580 0.8295180 0.9052449
silicate + phosphate Indo-Pacific (-Inf,26] 0.8729925 0.8163140 0.9324414
silicate + phosphate Indo-Pacific (26,26.5] 0.8801169 0.8664526 0.8939290
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8621448 0.8337276 0.8909659
silicate + phosphate Indo-Pacific (26.75,27] 0.9119270 0.8895017 0.9281053
silicate + phosphate Indo-Pacific (27,27.25] 0.9475701 0.9357674 0.9591450
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9606935 0.9476180 0.9744840
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9722082 0.9623026 0.9814637
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9813369 0.9732784 0.9869203
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9852594 0.9776259 0.9895666
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9877720 0.9819778 0.9916440
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9939992 0.9914471 0.9954919
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8870701 0.8720456 0.8985313
silicate + phosphate_star Atlantic (-Inf,26] 0.0957067 -0.2851561 0.4765695
silicate + phosphate_star Atlantic (26,26.5] 0.0481670 -0.4124864 0.9014304
silicate + phosphate_star Atlantic (26.5,26.75] 0.2387167 -0.1612728 0.9060029
silicate + phosphate_star Atlantic (26.75,27] 0.2895962 0.2411847 0.3703195
silicate + phosphate_star Atlantic (27,27.25] 0.6814666 0.6209451 0.7366075
silicate + phosphate_star Atlantic (27.25,27.5] 0.7153497 0.6353392 0.7824184
silicate + phosphate_star Atlantic (27.5,27.75] 0.8883727 0.8851444 0.8906405
silicate + phosphate_star Atlantic (27.75,27.85] 0.9578494 0.9366129 0.9742625
silicate + phosphate_star Atlantic (27.85,27.95] 0.9660788 0.9555720 0.9726423
silicate + phosphate_star Atlantic (27.95,28.05] 0.9704196 0.9596353 0.9822745
silicate + phosphate_star Atlantic (28.05,28.1] 0.9767506 0.9711901 0.9827630
silicate + phosphate_star Atlantic (28.1,28.15] 0.9754273 0.9674730 0.9859278
silicate + phosphate_star Atlantic (28.15,28.2] 0.9490845 0.9403988 0.9599541
silicate + phosphate_star Atlantic (28.2, Inf] 0.8864124 0.8635126 0.9069375
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7469767 0.6221441 0.8119398
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7640219 0.7516045 0.7798435
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.7654509 0.6846562 0.8400020
silicate + phosphate_star Indo-Pacific (26.75,27] 0.8142468 0.7996617 0.8239463
silicate + phosphate_star Indo-Pacific (27,27.25] 0.8410107 0.8318503 0.8457663
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.7003901 0.6753779 0.7216386
silicate + phosphate_star Indo-Pacific (27.5,27.75] 0.3136271 0.2491467 0.3888689
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.0197633 -0.0955767 0.0728772
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.1395880 -0.2857816 0.1107103
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.1803308 -0.3850919 0.0674047
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.0934461 -0.2411560 0.0637014
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.2168616 -0.3394501 -0.0158769
temp + aou Atlantic (-Inf,26] -0.5357809 -0.6951794 -0.3763824
temp + aou Atlantic (26,26.5] -0.5629035 -0.9109261 -0.3176631
temp + aou Atlantic (26.5,26.75] -0.1353018 -0.6751871 0.1499006
temp + aou Atlantic (26.75,27] 0.4104363 0.2495016 0.4993581
temp + aou Atlantic (27,27.25] 0.3924531 0.2530074 0.5667172
temp + aou Atlantic (27.25,27.5] 0.5742682 0.4860533 0.6471519
temp + aou Atlantic (27.5,27.75] 0.5651190 0.4672033 0.7052201
temp + aou Atlantic (27.75,27.85] 0.3465919 0.1697515 0.4539236
temp + aou Atlantic (27.85,27.95] 0.2020787 0.1160496 0.2590775
temp + aou Atlantic (27.95,28.05] -0.1103413 -0.1431434 -0.0895589
temp + aou Atlantic (28.05,28.1] -0.5801027 -0.6513026 -0.4483672
temp + aou Atlantic (28.1,28.15] -0.7356573 -0.7754779 -0.7128442
temp + aou Atlantic (28.15,28.2] -0.8239407 -0.8463396 -0.8098379
temp + aou Atlantic (28.2, Inf] -0.8213251 -0.8549910 -0.7629141
temp + aou Indo-Pacific (-Inf,26] -0.4008331 -0.5199960 -0.2322697
temp + aou Indo-Pacific (26,26.5] -0.2504052 -0.3875053 -0.0601817
temp + aou Indo-Pacific (26.5,26.75] -0.1097201 -0.4260655 0.1687985
temp + aou Indo-Pacific (26.75,27] -0.2818999 -0.5265823 -0.0151896
temp + aou Indo-Pacific (27,27.25] -0.5661188 -0.6735160 -0.5112627
temp + aou Indo-Pacific (27.25,27.5] -0.4517597 -0.5793188 -0.3105334
temp + aou Indo-Pacific (27.5,27.75] -0.0011740 -0.1054591 0.1446624
temp + aou Indo-Pacific (27.75,27.85] 0.4022411 0.3986373 0.4085703
temp + aou Indo-Pacific (27.85,27.95] 0.5808482 0.4690487 0.6488030
temp + aou Indo-Pacific (27.95,28.05] 0.7327146 0.6152393 0.7958011
temp + aou Indo-Pacific (28.05,28.1] 0.7777173 0.6712322 0.8424502
temp + aou Indo-Pacific (28.1, Inf] 0.8411410 0.7827766 0.8755862
temp + nitrate Atlantic (-Inf,26] -0.8701081 -0.8896045 -0.8506118
temp + nitrate Atlantic (26,26.5] -0.5714743 -0.9472283 -0.3611420
temp + nitrate Atlantic (26.5,26.75] -0.2462760 -0.8360050 0.0539521
temp + nitrate Atlantic (26.75,27] 0.3754780 0.2198148 0.4588876
temp + nitrate Atlantic (27,27.25] 0.2439036 0.1125062 0.4176027
temp + nitrate Atlantic (27.25,27.5] 0.4519703 0.3674818 0.5094410
temp + nitrate Atlantic (27.5,27.75] 0.3406454 0.1357315 0.5849432
temp + nitrate Atlantic (27.75,27.85] -0.2704638 -0.3586434 -0.1859324
temp + nitrate Atlantic (27.85,27.95] -0.4582100 -0.5788637 -0.3835186
temp + nitrate Atlantic (27.95,28.05] -0.5774806 -0.7303706 -0.4788545
temp + nitrate Atlantic (28.05,28.1] -0.7791640 -0.8808407 -0.6690059
temp + nitrate Atlantic (28.1,28.15] -0.8587711 -0.9002592 -0.8181253
temp + nitrate Atlantic (28.15,28.2] -0.8958219 -0.9211880 -0.8734618
temp + nitrate Atlantic (28.2, Inf] -0.9209951 -0.9546983 -0.8825822
temp + nitrate Indo-Pacific (-Inf,26] -0.6160034 -0.7135869 -0.4593938
temp + nitrate Indo-Pacific (26,26.5] -0.5277780 -0.6641261 -0.4218473
temp + nitrate Indo-Pacific (26.5,26.75] -0.3609022 -0.6386888 -0.0007676
temp + nitrate Indo-Pacific (26.75,27] -0.4580480 -0.6830852 -0.0953860
temp + nitrate Indo-Pacific (27,27.25] -0.6625948 -0.7765742 -0.5080423
temp + nitrate Indo-Pacific (27.25,27.5] -0.5500909 -0.6647718 -0.4348236
temp + nitrate Indo-Pacific (27.5,27.75] -0.0799488 -0.1921360 0.0264049
temp + nitrate Indo-Pacific (27.75,27.85] 0.3992976 0.2425326 0.5556736
temp + nitrate Indo-Pacific (27.85,27.95] 0.5532957 0.3399780 0.7205515
temp + nitrate Indo-Pacific (27.95,28.05] 0.6598386 0.4948019 0.7550256
temp + nitrate Indo-Pacific (28.05,28.1] 0.7074767 0.5543900 0.8027537
temp + nitrate Indo-Pacific (28.1, Inf] 0.7689861 0.6589550 0.8395240
temp + phosphate Atlantic (-Inf,26] -0.3759632 -0.6742742 -0.0776522
temp + phosphate Atlantic (26,26.5] -0.7242000 -0.9693965 -0.5453829
temp + phosphate Atlantic (26.5,26.75] -0.4131006 -0.8538800 -0.1625603
temp + phosphate Atlantic (26.75,27] 0.2493547 0.0498795 0.3562171
temp + phosphate Atlantic (27,27.25] 0.1268907 -0.0248086 0.3013658
temp + phosphate Atlantic (27.25,27.5] 0.3482951 0.2610032 0.4341010
temp + phosphate Atlantic (27.5,27.75] 0.2674779 0.0520259 0.5173033
temp + phosphate Atlantic (27.75,27.85] -0.3160542 -0.4069048 -0.2367796
temp + phosphate Atlantic (27.85,27.95] -0.4908426 -0.6091919 -0.4255911
temp + phosphate Atlantic (27.95,28.05] -0.5963179 -0.7403470 -0.5076425
temp + phosphate Atlantic (28.05,28.1] -0.7905323 -0.8853536 -0.6819761
temp + phosphate Atlantic (28.1,28.15] -0.8685483 -0.9047118 -0.8305863
temp + phosphate Atlantic (28.15,28.2] -0.8944174 -0.9121726 -0.8745919
temp + phosphate Atlantic (28.2, Inf] -0.9087176 -0.9408662 -0.8685719
temp + phosphate Indo-Pacific (-Inf,26] -0.5644977 -0.6700312 -0.4166668
temp + phosphate Indo-Pacific (26,26.5] -0.4490767 -0.6090755 -0.3042581
temp + phosphate Indo-Pacific (26.5,26.75] -0.2625797 -0.5741954 0.1216985
temp + phosphate Indo-Pacific (26.75,27] -0.3553759 -0.6235193 0.0792007
temp + phosphate Indo-Pacific (27,27.25] -0.5982471 -0.7324844 -0.4070636
temp + phosphate Indo-Pacific (27.25,27.5] -0.5073121 -0.6433487 -0.3972160
temp + phosphate Indo-Pacific (27.5,27.75] -0.0593653 -0.1780065 0.0193403
temp + phosphate Indo-Pacific (27.75,27.85] 0.3808742 0.3007293 0.4671303
temp + phosphate Indo-Pacific (27.85,27.95] 0.5396583 0.3937543 0.6396398
temp + phosphate Indo-Pacific (27.95,28.05] 0.6823448 0.5515135 0.7593700
temp + phosphate Indo-Pacific (28.05,28.1] 0.7312825 0.6105665 0.8075765
temp + phosphate Indo-Pacific (28.1, Inf] 0.7950021 0.7064458 0.8525925
temp + phosphate_star Atlantic (-Inf,26] -0.4870671 -0.5825606 -0.3915735
temp + phosphate_star Atlantic (26,26.5] -0.8675960 -0.9759307 -0.8103952
temp + phosphate_star Atlantic (26.5,26.75] -0.8920643 -0.9752990 -0.8452027
temp + phosphate_star Atlantic (26.75,27] -0.7246061 -0.7706824 -0.6864999
temp + phosphate_star Atlantic (27,27.25] -0.7661995 -0.8233378 -0.7376229
temp + phosphate_star Atlantic (27.25,27.5] -0.5300495 -0.5758496 -0.4546372
temp + phosphate_star Atlantic (27.5,27.75] -0.3184731 -0.4914459 -0.1004925
temp + phosphate_star Atlantic (27.75,27.85] -0.6732059 -0.7658078 -0.6159641
temp + phosphate_star Atlantic (27.85,27.95] -0.7723379 -0.8516932 -0.7241552
temp + phosphate_star Atlantic (27.95,28.05] -0.7997006 -0.8983723 -0.7384190
temp + phosphate_star Atlantic (28.05,28.1] -0.8967029 -0.9555590 -0.8395101
temp + phosphate_star Atlantic (28.1,28.15] -0.9366454 -0.9626609 -0.9172060
temp + phosphate_star Atlantic (28.15,28.2] -0.9427411 -0.9608353 -0.9220102
temp + phosphate_star Atlantic (28.2, Inf] -0.9267570 -0.9447705 -0.8912038
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8865087 -0.9150422 -0.8593740
temp + phosphate_star Indo-Pacific (26,26.5] -0.8905556 -0.9488999 -0.8296618
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.7855879 -0.9396793 -0.4992082
temp + phosphate_star Indo-Pacific (26.75,27] -0.6926963 -0.9617436 -0.2319751
temp + phosphate_star Indo-Pacific (27,27.25] -0.7687117 -0.9686208 -0.4369609
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.7196652 -0.9617530 -0.3554986
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.6177620 -0.9668561 -0.1219618
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.5633203 -0.9363440 -0.0626622
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.7478834 -0.8807690 -0.5055394
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.8031439 -0.8761081 -0.7538345
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6649263 -0.7315474 -0.5899232
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.6814303 -0.6837656 -0.6779908
temp + silicate Atlantic (-Inf,26] -0.6540142 -0.6747236 -0.6333048
temp + silicate Atlantic (26,26.5] -0.2271352 -0.8916209 0.1202416
temp + silicate Atlantic (26.5,26.75] -0.1265762 -0.8347586 0.2577729
temp + silicate Atlantic (26.75,27] 0.1514524 0.0910285 0.2720436
temp + silicate Atlantic (27,27.25] -0.2286334 -0.2714925 -0.1885096
temp + silicate Atlantic (27.25,27.5] 0.1495589 0.0776649 0.2284196
temp + silicate Atlantic (27.5,27.75] 0.0602647 -0.1531234 0.3216251
temp + silicate Atlantic (27.75,27.85] -0.5629698 -0.6049414 -0.5354334
temp + silicate Atlantic (27.85,27.95] -0.6986010 -0.7560933 -0.6308939
temp + silicate Atlantic (27.95,28.05] -0.7757565 -0.8234399 -0.7398454
temp + silicate Atlantic (28.05,28.1] -0.8773101 -0.9129234 -0.8098354
temp + silicate Atlantic (28.1,28.15] -0.9061099 -0.9133657 -0.8926719
temp + silicate Atlantic (28.15,28.2] -0.8421944 -0.8589438 -0.8313417
temp + silicate Atlantic (28.2, Inf] -0.7210738 -0.7901577 -0.6392995
temp + silicate Indo-Pacific (-Inf,26] -0.6228852 -0.7482130 -0.3776199
temp + silicate Indo-Pacific (26,26.5] -0.6093784 -0.6969554 -0.5472068
temp + silicate Indo-Pacific (26.5,26.75] -0.5143068 -0.7339875 -0.1815360
temp + silicate Indo-Pacific (26.75,27] -0.5218645 -0.7073891 -0.1509245
temp + silicate Indo-Pacific (27,27.25] -0.6852483 -0.7906324 -0.4869161
temp + silicate Indo-Pacific (27.25,27.5] -0.6097945 -0.7072238 -0.4605154
temp + silicate Indo-Pacific (27.5,27.75] -0.1580078 -0.2577805 -0.0246650
temp + silicate Indo-Pacific (27.75,27.85] 0.3245451 0.1513011 0.4876359
temp + silicate Indo-Pacific (27.85,27.95] 0.4842722 0.2613893 0.6408850
temp + silicate Indo-Pacific (27.95,28.05] 0.6308553 0.4612245 0.7214681
temp + silicate Indo-Pacific (28.05,28.1] 0.7171223 0.5753786 0.8083207
temp + silicate Indo-Pacific (28.1, Inf] 0.7143782 0.5797220 0.8063599 
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
865b582 Donghe-Zhu 2021-01-31
3e68089 Donghe-Zhu 2021-01-31
ecf335c Donghe-Zhu 2021-01-31
a618965 Donghe-Zhu 2021-01-31
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
# print table
kable(cor_target_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
predictor basin gamma_slab mean_r min_r max_r
aou Atlantic (-Inf,26] 0.4257037 0.3050261 0.5463812
aou Atlantic (26,26.5] 0.0163390 -0.5109072 0.3452699
aou Atlantic (26.5,26.75] -0.2423165 -0.7905501 0.1772475
aou Atlantic (26.75,27] -0.2550532 -0.4568538 -0.1462945
aou Atlantic (27,27.25] -0.3405422 -0.4123312 -0.2367748
aou Atlantic (27.25,27.5] -0.6457634 -0.7330044 -0.5247707
aou Atlantic (27.5,27.75] -0.6090457 -0.8270288 -0.4753308
aou Atlantic (27.75,27.85] -0.5239005 -0.7575153 -0.3369498
aou Atlantic (27.85,27.95] -0.6160068 -0.7781772 -0.4664423
aou Atlantic (27.95,28.05] -0.7769756 -0.8804137 -0.6680606
aou Atlantic (28.05,28.1] -0.9430772 -0.9643049 -0.9178931
aou Atlantic (28.1,28.15] -0.9585262 -0.9853394 -0.9280293
aou Atlantic (28.15,28.2] -0.9651014 -0.9858745 -0.9514302
aou Atlantic (28.2, Inf] -0.8173077 -0.9223423 -0.7579194
aou Indo-Pacific (-Inf,26] 0.2020688 0.0958045 0.3575592
aou Indo-Pacific (26,26.5] -0.4056747 -0.4914614 -0.3626545
aou Indo-Pacific (26.5,26.75] -0.6418011 -0.6888903 -0.6130289
aou Indo-Pacific (26.75,27] -0.7765120 -0.8089682 -0.7148558
aou Indo-Pacific (27,27.25] -0.6754113 -0.6973668 -0.6398574
aou Indo-Pacific (27.25,27.5] -0.5164285 -0.6385468 -0.4134199
aou Indo-Pacific (27.5,27.75] -0.0349980 -0.3890495 0.3383733
aou Indo-Pacific (27.75,27.85] 0.3756410 0.0514056 0.7234545
aou Indo-Pacific (27.85,27.95] 0.4326145 0.2121450 0.7123531
aou Indo-Pacific (27.95,28.05] 0.3951305 0.2298197 0.5487768
aou Indo-Pacific (28.05,28.1] 0.4355866 0.3301731 0.4993741
aou Indo-Pacific (28.1, Inf] 0.5902405 0.4536741 0.6655938
nitrate Atlantic (-Inf,26] 0.1682105 -0.0214146 0.3578356
nitrate Atlantic (26,26.5] -0.2120811 -0.6030063 0.0241332
nitrate Atlantic (26.5,26.75] -0.3916659 -0.9000498 0.0269081
nitrate Atlantic (26.75,27] -0.3710697 -0.5665259 -0.2701627
nitrate Atlantic (27,27.25] -0.5308223 -0.5846826 -0.4455471
nitrate Atlantic (27.25,27.5] -0.8441242 -0.8840458 -0.7671822
nitrate Atlantic (27.5,27.75] -0.9140419 -0.9607085 -0.8812482
nitrate Atlantic (27.75,27.85] -0.9580632 -0.9782977 -0.9433153
nitrate Atlantic (27.85,27.95] -0.9790009 -0.9885638 -0.9697552
nitrate Atlantic (27.95,28.05] -0.9519026 -0.9808384 -0.9346417
nitrate Atlantic (28.05,28.1] -0.9932000 -0.9947486 -0.9918446
nitrate Atlantic (28.1,28.15] -0.9925605 -0.9939399 -0.9914447
nitrate Atlantic (28.15,28.2] -0.9920126 -0.9933901 -0.9905750
nitrate Atlantic (28.2, Inf] -0.9670831 -0.9898392 -0.9533716
nitrate Indo-Pacific (-Inf,26] 0.1882664 0.1194779 0.3255117
nitrate Indo-Pacific (26,26.5] -0.4864902 -0.5874436 -0.3963798
nitrate Indo-Pacific (26.5,26.75] -0.7013492 -0.7365322 -0.6685782
nitrate Indo-Pacific (26.75,27] -0.7465925 -0.7722206 -0.7177001
nitrate Indo-Pacific (27,27.25] -0.6429797 -0.6664682 -0.6202626
nitrate Indo-Pacific (27.25,27.5] -0.5092122 -0.5801396 -0.4511401
nitrate Indo-Pacific (27.5,27.75] -0.0290070 -0.3042343 0.2712140
nitrate Indo-Pacific (27.75,27.85] 0.4941472 0.2867772 0.7427714
nitrate Indo-Pacific (27.85,27.95] 0.5548339 0.4390074 0.7499706
nitrate Indo-Pacific (27.95,28.05] 0.4448584 0.2649684 0.6117645
nitrate Indo-Pacific (28.05,28.1] 0.4909999 0.3669271 0.5610746
nitrate Indo-Pacific (28.1, Inf] 0.6082592 0.4818771 0.6739127
phosphate Atlantic (-Inf,26] 0.4329790 0.3770938 0.4888643
phosphate Atlantic (26,26.5] -0.0122329 -0.5387179 0.3098939
phosphate Atlantic (26.5,26.75] -0.3840180 -0.8971262 -0.0104230
phosphate Atlantic (26.75,27] -0.3850324 -0.6054617 -0.2613085
phosphate Atlantic (27,27.25] -0.5971978 -0.6813503 -0.5101967
phosphate Atlantic (27.25,27.5] -0.8462835 -0.9012118 -0.7740643
phosphate Atlantic (27.5,27.75] -0.9204792 -0.9588952 -0.8966162
phosphate Atlantic (27.75,27.85] -0.9675095 -0.9831900 -0.9570152
phosphate Atlantic (27.85,27.95] -0.9824769 -0.9888035 -0.9771038
phosphate Atlantic (27.95,28.05] -0.9563084 -0.9810561 -0.9427805
phosphate Atlantic (28.05,28.1] -0.9925388 -0.9938737 -0.9915823
phosphate Atlantic (28.1,28.15] -0.9916613 -0.9930058 -0.9898352
phosphate Atlantic (28.15,28.2] -0.9907508 -0.9933333 -0.9878714
phosphate Atlantic (28.2, Inf] -0.9793331 -0.9847616 -0.9752612
phosphate Indo-Pacific (-Inf,26] 0.1537325 0.0258512 0.3411389
phosphate Indo-Pacific (26,26.5] -0.5300032 -0.5742604 -0.4776244
phosphate Indo-Pacific (26.5,26.75] -0.7644215 -0.7714235 -0.7571441
phosphate Indo-Pacific (26.75,27] -0.8436143 -0.8548074 -0.8296423
phosphate Indo-Pacific (27,27.25] -0.7341922 -0.7673989 -0.7078835
phosphate Indo-Pacific (27.25,27.5] -0.5888676 -0.7102056 -0.4984008
phosphate Indo-Pacific (27.5,27.75] -0.0609453 -0.3838881 0.2758631
phosphate Indo-Pacific (27.75,27.85] 0.4410822 0.1696164 0.7402675
phosphate Indo-Pacific (27.85,27.95] 0.4914008 0.2957644 0.7375044
phosphate Indo-Pacific (27.95,28.05] 0.4327475 0.2654291 0.5795907
phosphate Indo-Pacific (28.05,28.1] 0.4674038 0.3637382 0.5334542
phosphate Indo-Pacific (28.1, Inf] 0.5708225 0.4074345 0.6527575
phosphate_star Atlantic (-Inf,26] 0.1145536 -0.2093641 0.4384713
phosphate_star Atlantic (26,26.5] -0.0667954 -0.4998372 0.1551158
phosphate_star Atlantic (26.5,26.75] -0.4779346 -0.8933677 -0.2311607
phosphate_star Atlantic (26.75,27] -0.2357351 -0.3427454 -0.1222321
phosphate_star Atlantic (27,27.25] -0.6234638 -0.7081191 -0.5162938
phosphate_star Atlantic (27.25,27.5] -0.4942308 -0.6100241 -0.3519367
phosphate_star Atlantic (27.5,27.75] -0.7576741 -0.7974285 -0.7278447
phosphate_star Atlantic (27.75,27.85] -0.9255705 -0.9389743 -0.9009746
phosphate_star Atlantic (27.85,27.95] -0.9242546 -0.9424507 -0.9130715
phosphate_star Atlantic (27.95,28.05] -0.8972792 -0.9129536 -0.8802853
phosphate_star Atlantic (28.05,28.1] -0.9597956 -0.9746948 -0.9422251
phosphate_star Atlantic (28.1,28.15] -0.9646675 -0.9795374 -0.9532885
phosphate_star Atlantic (28.15,28.2] -0.9774868 -0.9817322 -0.9734461
phosphate_star Atlantic (28.2, Inf] -0.9837226 -0.9907028 -0.9773058
phosphate_star Indo-Pacific (-Inf,26] 0.1933206 0.0717840 0.3538975
phosphate_star Indo-Pacific (26,26.5] -0.4932239 -0.6281878 -0.4056467
phosphate_star Indo-Pacific (26.5,26.75] -0.6269389 -0.6897915 -0.5133449
phosphate_star Indo-Pacific (26.75,27] -0.5792273 -0.6452374 -0.4773253
phosphate_star Indo-Pacific (27,27.25] -0.5312003 -0.6195263 -0.4219863
phosphate_star Indo-Pacific (27.25,27.5] -0.5107579 -0.5504145 -0.4724576
phosphate_star Indo-Pacific (27.5,27.75] -0.1409398 -0.2682750 -0.0544214
phosphate_star Indo-Pacific (27.75,27.85] 0.4027214 0.1489597 0.6581002
phosphate_star Indo-Pacific (27.85,27.95] 0.3415117 0.3227224 0.3547028
phosphate_star Indo-Pacific (27.95,28.05] 0.4178713 0.3417052 0.4896549
phosphate_star Indo-Pacific (28.05,28.1] 0.4031704 0.3049503 0.4784784
phosphate_star Indo-Pacific (28.1, Inf] -0.2422183 -0.3233938 -0.1998351
sal Atlantic (-Inf,26] 0.3454529 -0.0222728 0.7131786
sal Atlantic (26,26.5] 0.0448845 -0.1046881 0.3338906
sal Atlantic (26.5,26.75] 0.2226787 -0.1277866 0.7641508
sal Atlantic (26.75,27] -0.4040782 -0.4541614 -0.3728953
sal Atlantic (27,27.25] 0.0313337 -0.1441327 0.1458570
sal Atlantic (27.25,27.5] -0.4289032 -0.5442539 -0.3476095
sal Atlantic (27.5,27.75] -0.3552711 -0.6080745 -0.2078798
sal Atlantic (27.75,27.85] 0.2656721 0.1776428 0.3591666
sal Atlantic (27.85,27.95] 0.4360593 0.2931361 0.5636697
sal Atlantic (27.95,28.05] 0.4664378 0.3681666 0.6105624
sal Atlantic (28.05,28.1] 0.8377925 0.7776230 0.8961814
sal Atlantic (28.1,28.15] 0.9104544 0.8862864 0.9263873
sal Atlantic (28.15,28.2] 0.9116880 0.8820999 0.9264913
sal Atlantic (28.2, Inf] 0.8595183 0.8081980 0.9202461
sal Indo-Pacific (-Inf,26] 0.0688573 -0.1894874 0.3959701
sal Indo-Pacific (26,26.5] 0.2529232 0.0892846 0.3694642
sal Indo-Pacific (26.5,26.75] 0.2256589 -0.2810371 0.4886866
sal Indo-Pacific (26.75,27] 0.0629148 -0.4519167 0.3408702
sal Indo-Pacific (27,27.25] 0.1093431 -0.1601787 0.2759419
sal Indo-Pacific (27.25,27.5] 0.0552590 -0.0957659 0.1414267
sal Indo-Pacific (27.5,27.75] -0.1807034 -0.3112293 -0.0421204
sal Indo-Pacific (27.75,27.85] 0.1790086 -0.0556855 0.5232738
sal Indo-Pacific (27.85,27.95] 0.2295376 -0.0365297 0.6544871
sal Indo-Pacific (27.95,28.05] -0.0996589 -0.1563709 -0.0509275
sal Indo-Pacific (28.05,28.1] 0.0240820 -0.1223429 0.1474019
sal Indo-Pacific (28.1, Inf] 0.2039425 0.0698266 0.2820273
silicate Atlantic (-Inf,26] -0.4398243 -0.8146090 -0.0650397
silicate Atlantic (26,26.5] -0.5181103 -0.7090931 -0.4083992
silicate Atlantic (26.5,26.75] -0.5451786 -0.9284934 -0.2478454
silicate Atlantic (26.75,27] -0.5903049 -0.6951093 -0.5141643
silicate Atlantic (27,27.25] -0.8414369 -0.9027496 -0.8080552
silicate Atlantic (27.25,27.5] -0.9148407 -0.9456304 -0.8979753
silicate Atlantic (27.5,27.75] -0.9203820 -0.9337984 -0.8978188
silicate Atlantic (27.75,27.85] -0.9450726 -0.9530372 -0.9384426
silicate Atlantic (27.85,27.95] -0.9351234 -0.9439781 -0.9241806
silicate Atlantic (27.95,28.05] -0.8802239 -0.9084127 -0.8457239
silicate Atlantic (28.05,28.1] -0.9444029 -0.9662086 -0.9307518
silicate Atlantic (28.1,28.15] -0.9562325 -0.9739031 -0.9448611
silicate Atlantic (28.15,28.2] -0.9473448 -0.9604263 -0.9314690
silicate Atlantic (28.2, Inf] -0.8896279 -0.9366779 -0.8515038
silicate Indo-Pacific (-Inf,26] 0.0489681 -0.2468181 0.2839671
silicate Indo-Pacific (26,26.5] -0.6230656 -0.6428982 -0.6047512
silicate Indo-Pacific (26.5,26.75] -0.7583208 -0.7783759 -0.7382335
silicate Indo-Pacific (26.75,27] -0.7230475 -0.7389873 -0.7135898
silicate Indo-Pacific (27,27.25] -0.6036975 -0.6414468 -0.5576836
silicate Indo-Pacific (27.25,27.5] -0.4514956 -0.5728275 -0.3424134
silicate Indo-Pacific (27.5,27.75] 0.0328852 -0.2641313 0.3548968
silicate Indo-Pacific (27.75,27.85] 0.5172365 0.2789904 0.7981779
silicate Indo-Pacific (27.85,27.95] 0.5492796 0.3631641 0.8009768
silicate Indo-Pacific (27.95,28.05] 0.4744786 0.2939346 0.6520810
silicate Indo-Pacific (28.05,28.1] 0.5029538 0.3798092 0.5689260
silicate Indo-Pacific (28.1, Inf] 0.5620571 0.4397192 0.6479596
temp Atlantic (-Inf,26] -0.1637110 -0.4679999 0.1405779
temp Atlantic (26,26.5] -0.0548520 -0.3136847 0.4081336
temp Atlantic (26.5,26.75] 0.2213268 -0.1283585 0.7947772
temp Atlantic (26.75,27] -0.3985262 -0.4322729 -0.3654323
temp Atlantic (27,27.25] 0.0522223 -0.1441916 0.1989649
temp Atlantic (27.25,27.5] -0.4545479 -0.5674097 -0.3905709
temp Atlantic (27.5,27.75] -0.3514042 -0.5955493 -0.1926566
temp Atlantic (27.75,27.85] 0.3572198 0.3196154 0.4198307
temp Atlantic (27.85,27.95] 0.4838432 0.3895158 0.5819618
temp Atlantic (27.95,28.05] 0.4851102 0.4112964 0.6065903
temp Atlantic (28.05,28.1] 0.7440932 0.6107229 0.8443400
temp Atlantic (28.1,28.15] 0.8212111 0.7554702 0.8659866
temp Atlantic (28.15,28.2] 0.8700271 0.8549840 0.8991344
temp Atlantic (28.2, Inf] 0.8734885 0.8057190 0.9081239
temp Indo-Pacific (-Inf,26] -0.4827260 -0.5443507 -0.4516717
temp Indo-Pacific (26,26.5] 0.1793007 0.0004290 0.3073963
temp Indo-Pacific (26.5,26.75] 0.1691001 -0.3676855 0.4411748
temp Indo-Pacific (26.75,27] 0.0117844 -0.5053112 0.2799857
temp Indo-Pacific (27,27.25] 0.0969753 -0.1763246 0.2598631
temp Indo-Pacific (27.25,27.5] 0.1695705 0.0086032 0.2600595
temp Indo-Pacific (27.5,27.75] 0.0514157 -0.0221562 0.1740188
temp Indo-Pacific (27.75,27.85] 0.1433097 -0.0366227 0.4486059
temp Indo-Pacific (27.85,27.95] 0.1308688 -0.0834200 0.5068278
temp Indo-Pacific (27.95,28.05] -0.1744352 -0.2524364 -0.1315086
temp Indo-Pacific (28.05,28.1] -0.0897961 -0.1816643 0.0269002
temp Indo-Pacific (28.1, Inf] 0.3577591 0.1545652 0.4841414 
rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      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_3.3.3    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.10            
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.1.0           jsonlite_1.7.2           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.20                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.9.1      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_1.0.1