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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))))
)
}

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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)[14]
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        if (nrow(GLODAP_basin_era_slab) > 2) {
          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()
          
        }
      }
    }
  }
  rm(GLODAP_basin_era, GLODAP_basin_era_slab)
}

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
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
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] 0.8319598 0.8052884 0.8647453
aou + nitrate Atlantic (26,26.5] 0.9212196 0.9137281 0.9284189
aou + nitrate Atlantic (26.5,26.75] 0.9747131 0.9721336 0.9768344
aou + nitrate Atlantic (26.75,27] 0.9821879 0.9780177 0.9849287
aou + nitrate Atlantic (27,27.25] 0.9629831 0.9589822 0.9674944
aou + nitrate Atlantic (27.25,27.5] 0.8451565 0.8348534 0.8539842
aou + nitrate Atlantic (27.5,27.75] 0.6067060 0.5990446 0.6178414
aou + nitrate Atlantic (27.75,27.85] 0.4143893 0.3887879 0.4654687
aou + nitrate Atlantic (27.85,27.95] 0.5813073 0.4612667 0.6950507
aou + nitrate Atlantic (27.95,28.05] 0.3967644 0.3671925 0.4139182
aou + nitrate Atlantic (28.05,28.1] 0.6176416 0.5626609 0.6749120
aou + nitrate Atlantic (28.1,28.15] 0.8886538 0.8618612 0.9165429
aou + nitrate Atlantic (28.15,28.2] 0.9396566 0.9352871 0.9454057
aou + nitrate Atlantic (28.2, Inf] 0.9217552 0.9189011 0.9236165
aou + nitrate Indo-Pacific (-Inf,26] 0.9336424 0.9320474 0.9353708
aou + nitrate Indo-Pacific (26,26.5] 0.8518788 0.8481162 0.8579322
aou + nitrate Indo-Pacific (26.5,26.75] 0.7771002 0.7759177 0.7783865
aou + nitrate Indo-Pacific (26.75,27] 0.8384943 0.8278322 0.8440136
aou + nitrate Indo-Pacific (27,27.25] 0.9233450 0.9197271 0.9266352
aou + nitrate Indo-Pacific (27.25,27.5] 0.9497895 0.9482371 0.9507114
aou + nitrate Indo-Pacific (27.5,27.75] 0.9719030 0.9708304 0.9727752
aou + nitrate Indo-Pacific (27.75,27.85] 0.9913913 0.9905872 0.9921240
aou + nitrate Indo-Pacific (27.85,27.95] 0.9899667 0.9886542 0.9912166
aou + nitrate Indo-Pacific (27.95,28.05] 0.9889931 0.9884169 0.9894169
aou + nitrate Indo-Pacific (28.05,28.1] 0.9894084 0.9887239 0.9900903
aou + nitrate Indo-Pacific (28.1, Inf] 0.9907645 0.9903203 0.9912377
aou + phosphate Atlantic (-Inf,26] 0.9182611 0.8966153 0.9320855
aou + phosphate Atlantic (26,26.5] 0.8953908 0.8939820 0.8972583
aou + phosphate Atlantic (26.5,26.75] 0.9518304 0.9497262 0.9539085
aou + phosphate Atlantic (26.75,27] 0.9629769 0.9588395 0.9652709
aou + phosphate Atlantic (27,27.25] 0.9241482 0.9199826 0.9302199
aou + phosphate Atlantic (27.25,27.5] 0.7815280 0.7702594 0.7911111
aou + phosphate Atlantic (27.5,27.75] 0.5357913 0.5264607 0.5488257
aou + phosphate Atlantic (27.75,27.85] 0.3444610 0.3155028 0.3994188
aou + phosphate Atlantic (27.85,27.95] 0.5468409 0.4194182 0.6671269
aou + phosphate Atlantic (27.95,28.05] 0.3786866 0.3487374 0.3967598
aou + phosphate Atlantic (28.05,28.1] 0.6120370 0.5574559 0.6693644
aou + phosphate Atlantic (28.1,28.15] 0.8883939 0.8616277 0.9160783
aou + phosphate Atlantic (28.15,28.2] 0.9463061 0.9415206 0.9522671
aou + phosphate Atlantic (28.2, Inf] 0.9270527 0.9261914 0.9284362
aou + phosphate Indo-Pacific (-Inf,26] 0.9676729 0.9670665 0.9685941
aou + phosphate Indo-Pacific (26,26.5] 0.9603511 0.9586359 0.9623019
aou + phosphate Indo-Pacific (26.5,26.75] 0.9738369 0.9730899 0.9742536
aou + phosphate Indo-Pacific (26.75,27] 0.9752265 0.9743416 0.9758749
aou + phosphate Indo-Pacific (27,27.25] 0.9854542 0.9848382 0.9862786
aou + phosphate Indo-Pacific (27.25,27.5] 0.9859987 0.9856320 0.9861907
aou + phosphate Indo-Pacific (27.5,27.75] 0.9888448 0.9886317 0.9890619
aou + phosphate Indo-Pacific (27.75,27.85] 0.9945158 0.9943734 0.9946478
aou + phosphate Indo-Pacific (27.85,27.95] 0.9952503 0.9949603 0.9957152
aou + phosphate Indo-Pacific (27.95,28.05] 0.9907027 0.9902850 0.9912384
aou + phosphate Indo-Pacific (28.05,28.1] 0.9926347 0.9921049 0.9932951
aou + phosphate Indo-Pacific (28.1, Inf] 0.9915319 0.9906607 0.9925416
aou + phosphate_star Atlantic (-Inf,26] 0.2272720 0.1712517 0.2806442
aou + phosphate_star Atlantic (26,26.5] 0.4201348 0.3878595 0.4488269
aou + phosphate_star Atlantic (26.5,26.75] 0.1677730 0.1516619 0.1852212
aou + phosphate_star Atlantic (26.75,27] -0.1288395 -0.1495826 -0.1061565
aou + phosphate_star Atlantic (27,27.25] -0.0331480 -0.0388931 -0.0244004
aou + phosphate_star Atlantic (27.25,27.5] -0.1527474 -0.1681193 -0.1402383
aou + phosphate_star Atlantic (27.5,27.75] -0.3162152 -0.3288676 -0.3026728
aou + phosphate_star Atlantic (27.75,27.85] -0.3224503 -0.3953963 -0.2259315
aou + phosphate_star Atlantic (27.85,27.95] 0.1888088 0.0050478 0.3643424
aou + phosphate_star Atlantic (27.95,28.05] -0.0115480 -0.0370406 0.0130132
aou + phosphate_star Atlantic (28.05,28.1] 0.3252240 0.2411855 0.4063450
aou + phosphate_star Atlantic (28.1,28.15] 0.7557879 0.7056715 0.8084570
aou + phosphate_star Atlantic (28.15,28.2] 0.8553461 0.8468864 0.8658721
aou + phosphate_star Atlantic (28.2, Inf] 0.8193453 0.8132106 0.8237429
aou + phosphate_star Indo-Pacific (-Inf,26] 0.5950927 0.5922232 0.5977716
aou + phosphate_star Indo-Pacific (26,26.5] 0.4219521 0.4053845 0.4333643
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.4894509 0.4820707 0.4971861
aou + phosphate_star Indo-Pacific (26.75,27] 0.6138611 0.6120233 0.6165001
aou + phosphate_star Indo-Pacific (27,27.25] 0.6955078 0.6791140 0.7187124
aou + phosphate_star Indo-Pacific (27.25,27.5] 0.3336648 0.2643330 0.3994587
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.3017088 -0.3637356 -0.2424993
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.5730946 -0.5853433 -0.5525608
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.3631739 -0.3742947 -0.3416898
aou + phosphate_star Indo-Pacific (27.95,28.05] -0.3787055 -0.4161134 -0.3502708
aou + phosphate_star Indo-Pacific (28.05,28.1] -0.2604889 -0.3505335 -0.1707294
aou + phosphate_star Indo-Pacific (28.1, Inf] 0.1490139 0.1415857 0.1573942
aou + silicate Atlantic (-Inf,26] 0.0899170 0.0155212 0.1279349
aou + silicate Atlantic (26,26.5] 0.2825001 0.2444453 0.3247772
aou + silicate Atlantic (26.5,26.75] 0.6194588 0.5850403 0.6465877
aou + silicate Atlantic (26.75,27] 0.7954590 0.7873155 0.8057143
aou + silicate Atlantic (27,27.25] 0.7435256 0.7353680 0.7595393
aou + silicate Atlantic (27.25,27.5] 0.5305908 0.5261892 0.5365418
aou + silicate Atlantic (27.5,27.75] 0.2208911 0.2187571 0.2238281
aou + silicate Atlantic (27.75,27.85] -0.0397553 -0.0662660 0.0082511
aou + silicate Atlantic (27.85,27.95] 0.2911796 0.1265588 0.4479659
aou + silicate Atlantic (27.95,28.05] 0.3244988 0.2977439 0.3416668
aou + silicate Atlantic (28.05,28.1] 0.6389761 0.5974134 0.6835674
aou + silicate Atlantic (28.1,28.15] 0.9163490 0.8975120 0.9350723
aou + silicate Atlantic (28.15,28.2] 0.9461607 0.9446964 0.9484637
aou + silicate Atlantic (28.2, Inf] 0.7315190 0.7204055 0.7454716
aou + silicate Indo-Pacific (-Inf,26] 0.8384853 0.8348367 0.8426798
aou + silicate Indo-Pacific (26,26.5] 0.7702437 0.7656940 0.7726398
aou + silicate Indo-Pacific (26.5,26.75] 0.7860116 0.7820105 0.7925580
aou + silicate Indo-Pacific (26.75,27] 0.8744060 0.8718798 0.8761569
aou + silicate Indo-Pacific (27,27.25] 0.9407176 0.9401861 0.9417620
aou + silicate Indo-Pacific (27.25,27.5] 0.9544940 0.9538885 0.9551720
aou + silicate Indo-Pacific (27.5,27.75] 0.9649496 0.9638540 0.9655495
aou + silicate Indo-Pacific (27.75,27.85] 0.9830472 0.9827667 0.9835503
aou + silicate Indo-Pacific (27.85,27.95] 0.9824061 0.9820890 0.9830024
aou + silicate Indo-Pacific (27.95,28.05] 0.9873043 0.9866355 0.9876472
aou + silicate Indo-Pacific (28.05,28.1] 0.9908851 0.9901688 0.9917364
aou + silicate Indo-Pacific (28.1, Inf] 0.8250056 0.8232856 0.8261817
nitrate + phosphate Atlantic (-Inf,26] 0.6298736 0.5459505 0.7136208
nitrate + phosphate Atlantic (26,26.5] 0.8375111 0.8258962 0.8497579
nitrate + phosphate Atlantic (26.5,26.75] 0.9674291 0.9662972 0.9691015
nitrate + phosphate Atlantic (26.75,27] 0.9794041 0.9761487 0.9813913
nitrate + phosphate Atlantic (27,27.25] 0.9866474 0.9865781 0.9867797
nitrate + phosphate Atlantic (27.25,27.5] 0.9917234 0.9914907 0.9918786
nitrate + phosphate Atlantic (27.5,27.75] 0.9943967 0.9941470 0.9945391
nitrate + phosphate Atlantic (27.75,27.85] 0.9965239 0.9962940 0.9967206
nitrate + phosphate Atlantic (27.85,27.95] 0.9986486 0.9984204 0.9988237
nitrate + phosphate Atlantic (27.95,28.05] 0.9993937 0.9993545 0.9994532
nitrate + phosphate Atlantic (28.05,28.1] 0.9997879 0.9997715 0.9998048
nitrate + phosphate Atlantic (28.1,28.15] 0.9998215 0.9998082 0.9998328
nitrate + phosphate Atlantic (28.15,28.2] 0.9976367 0.9974851 0.9977906
nitrate + phosphate Atlantic (28.2, Inf] 0.9895826 0.9891329 0.9900076
nitrate + phosphate Indo-Pacific (-Inf,26] 0.9538151 0.9504197 0.9558263
nitrate + phosphate Indo-Pacific (26,26.5] 0.8669167 0.8614808 0.8746534
nitrate + phosphate Indo-Pacific (26.5,26.75] 0.7949166 0.7932554 0.7961208
nitrate + phosphate Indo-Pacific (26.75,27] 0.8586521 0.8442912 0.8660334
nitrate + phosphate Indo-Pacific (27,27.25] 0.9333195 0.9307531 0.9350132
nitrate + phosphate Indo-Pacific (27.25,27.5] 0.9547614 0.9530455 0.9558788
nitrate + phosphate Indo-Pacific (27.5,27.75] 0.9783505 0.9767001 0.9792287
nitrate + phosphate Indo-Pacific (27.75,27.85] 0.9948770 0.9943868 0.9952583
nitrate + phosphate Indo-Pacific (27.85,27.95] 0.9965978 0.9958197 0.9971522
nitrate + phosphate Indo-Pacific (27.95,28.05] 0.9987808 0.9987190 0.9988922
nitrate + phosphate Indo-Pacific (28.05,28.1] 0.9980630 0.9979934 0.9981144
nitrate + phosphate Indo-Pacific (28.1, Inf] 0.9951245 0.9950390 0.9952797
nitrate + phosphate_star Atlantic (-Inf,26] 0.0769961 -0.0105186 0.1547954
nitrate + phosphate_star Atlantic (26,26.5] 0.4319629 0.3967464 0.4496093
nitrate + phosphate_star Atlantic (26.5,26.75] 0.2825051 0.2714038 0.3006399
nitrate + phosphate_star Atlantic (26.75,27] -0.0075405 -0.0175939 0.0100974
nitrate + phosphate_star Atlantic (27,27.25] 0.2126286 0.2055367 0.2176224
nitrate + phosphate_star Atlantic (27.25,27.5] 0.3883428 0.3740379 0.3984192
nitrate + phosphate_star Atlantic (27.5,27.75] 0.5454930 0.5412660 0.5490727
nitrate + phosphate_star Atlantic (27.75,27.85] 0.7237163 0.6897969 0.7543654
nitrate + phosphate_star Atlantic (27.85,27.95] 0.9051145 0.8876122 0.9207771
nitrate + phosphate_star Atlantic (27.95,28.05] 0.9110445 0.9059126 0.9138409
nitrate + phosphate_star Atlantic (28.05,28.1] 0.9430221 0.9367106 0.9470879
nitrate + phosphate_star Atlantic (28.1,28.15] 0.9708363 0.9665062 0.9753821
nitrate + phosphate_star Atlantic (28.15,28.2] 0.9783456 0.9777735 0.9787470
nitrate + phosphate_star Atlantic (28.2, Inf] 0.9689827 0.9683804 0.9699030
nitrate + phosphate_star Indo-Pacific (-Inf,26] 0.7300020 0.7247613 0.7329616
nitrate + phosphate_star Indo-Pacific (26,26.5] 0.5568758 0.5505340 0.5653723
nitrate + phosphate_star Indo-Pacific (26.5,26.75] 0.5767770 0.5682263 0.5859754
nitrate + phosphate_star Indo-Pacific (26.75,27] 0.6963416 0.6817463 0.7054887
nitrate + phosphate_star Indo-Pacific (27,27.25] 0.7728922 0.7630498 0.7858589
nitrate + phosphate_star Indo-Pacific (27.25,27.5] 0.4462255 0.3871164 0.5028757
nitrate + phosphate_star Indo-Pacific (27.5,27.75] -0.1694602 -0.2343974 -0.1075721
nitrate + phosphate_star Indo-Pacific (27.75,27.85] -0.4989624 -0.5101295 -0.4798516
nitrate + phosphate_star Indo-Pacific (27.85,27.95] -0.2565105 -0.2650864 -0.2395919
nitrate + phosphate_star Indo-Pacific (27.95,28.05] -0.2442469 -0.2843139 -0.2102990
nitrate + phosphate_star Indo-Pacific (28.05,28.1] -0.1262457 -0.2136776 -0.0397517
nitrate + phosphate_star Indo-Pacific (28.1, Inf] 0.2579150 0.2473446 0.2659133
nitrate + silicate Atlantic (-Inf,26] 0.6074982 0.5863049 0.6482021
nitrate + silicate Atlantic (26,26.5] 0.5638707 0.5468778 0.5821142
nitrate + silicate Atlantic (26.5,26.75] 0.7013738 0.6761024 0.7202413
nitrate + silicate Atlantic (26.75,27] 0.8536928 0.8484861 0.8607385
nitrate + silicate Atlantic (27,27.25] 0.8738833 0.8698794 0.8784092
nitrate + silicate Atlantic (27.25,27.5] 0.8567414 0.8542742 0.8598691
nitrate + silicate Atlantic (27.5,27.75] 0.8597095 0.8594677 0.8601155
nitrate + silicate Atlantic (27.75,27.85] 0.8369307 0.8308856 0.8404172
nitrate + silicate Atlantic (27.85,27.95] 0.9143803 0.9020136 0.9252651
nitrate + silicate Atlantic (27.95,28.05] 0.9672240 0.9657438 0.9689633
nitrate + silicate Atlantic (28.05,28.1] 0.9830442 0.9820276 0.9835870
nitrate + silicate Atlantic (28.1,28.15] 0.9862997 0.9854185 0.9870424
nitrate + silicate Atlantic (28.15,28.2] 0.9133230 0.9110806 0.9159802
nitrate + silicate Atlantic (28.2, Inf] 0.7040977 0.6976472 0.7123213
nitrate + silicate Indo-Pacific (-Inf,26] 0.8595117 0.8556347 0.8631442
nitrate + silicate Indo-Pacific (26,26.5] 0.7882845 0.7825006 0.7966059
nitrate + silicate Indo-Pacific (26.5,26.75] 0.8229992 0.8190274 0.8294901
nitrate + silicate Indo-Pacific (26.75,27] 0.8713343 0.8622015 0.8763265
nitrate + silicate Indo-Pacific (27,27.25] 0.9371927 0.9341990 0.9396095
nitrate + silicate Indo-Pacific (27.25,27.5] 0.9599545 0.9584307 0.9619659
nitrate + silicate Indo-Pacific (27.5,27.75] 0.9789759 0.9787948 0.9793127
nitrate + silicate Indo-Pacific (27.75,27.85] 0.9896206 0.9887054 0.9903910
nitrate + silicate Indo-Pacific (27.85,27.95] 0.9890991 0.9887309 0.9893492
nitrate + silicate Indo-Pacific (27.95,28.05] 0.9916888 0.9913838 0.9921966
nitrate + silicate Indo-Pacific (28.05,28.1] 0.9900451 0.9898748 0.9902839
nitrate + silicate Indo-Pacific (28.1, Inf] 0.8356421 0.8342029 0.8383087
phosphate + phosphate_star Atlantic (-Inf,26] 0.5343107 0.4775086 0.6126873
phosphate + phosphate_star Atlantic (26,26.5] 0.7688104 0.7431334 0.7907074
phosphate + phosphate_star Atlantic (26.5,26.75] 0.4573428 0.4430211 0.4672193
phosphate + phosphate_star Atlantic (26.75,27] 0.1382560 0.1275332 0.1537366
phosphate + phosphate_star Atlantic (27,27.25] 0.3457749 0.3391259 0.3492194
phosphate + phosphate_star Atlantic (27.25,27.5] 0.4922257 0.4803400 0.5014733
phosphate + phosphate_star Atlantic (27.5,27.75] 0.6224086 0.6201228 0.6253919
phosphate + phosphate_star Atlantic (27.75,27.85] 0.7745994 0.7451445 0.8012040
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9228103 0.9087060 0.9357265
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9197095 0.9151720 0.9223985
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9457754 0.9392456 0.9499349
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9713152 0.9668890 0.9760373
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9762965 0.9758244 0.9767374
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9716694 0.9700820 0.9724762
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.7633768 0.7611462 0.7662681
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.6527202 0.6437367 0.6575748
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6676876 0.6641916 0.6721044
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.7610245 0.7578478 0.7631317
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.8025666 0.7918107 0.8182895
phosphate + phosphate_star Indo-Pacific (27.25,27.5] 0.4825463 0.4196366 0.5428551
phosphate + phosphate_star Indo-Pacific (27.5,27.75] -0.1591375 -0.2221506 -0.0980801
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.4866754 -0.4983329 -0.4654782
phosphate + phosphate_star Indo-Pacific (27.85,27.95] -0.2744190 -0.2840952 -0.2570350
phosphate + phosphate_star Indo-Pacific (27.95,28.05] -0.2527996 -0.2908790 -0.2202160
phosphate + phosphate_star Indo-Pacific (28.05,28.1] -0.1453574 -0.2335286 -0.0589646
phosphate + phosphate_star Indo-Pacific (28.1, Inf] 0.2711336 0.2558968 0.2804920
sal + aou Atlantic (-Inf,26] -0.3943582 -0.4154883 -0.3552102
sal + aou Atlantic (26,26.5] -0.3911211 -0.4383817 -0.3525597
sal + aou Atlantic (26.5,26.75] 0.2631226 0.2536909 0.2738962
sal + aou Atlantic (26.75,27] 0.4679773 0.4479153 0.4886643
sal + aou Atlantic (27,27.25] 0.3662169 0.3447307 0.3939301
sal + aou Atlantic (27.25,27.5] 0.3890439 0.3802055 0.4036040
sal + aou Atlantic (27.5,27.75] 0.6709732 0.6594577 0.6838862
sal + aou Atlantic (27.75,27.85] 0.6356774 0.5338330 0.7037130
sal + aou Atlantic (27.85,27.95] 0.1999182 0.0559347 0.3667761
sal + aou Atlantic (27.95,28.05] 0.0349723 0.0303610 0.0378039
sal + aou Atlantic (28.05,28.1] -0.3211056 -0.3947151 -0.2410288
sal + aou Atlantic (28.1,28.15] -0.7464279 -0.7967352 -0.6982660
sal + aou Atlantic (28.15,28.2] -0.8055011 -0.8072193 -0.8023704
sal + aou Atlantic (28.2, Inf] -0.6734187 -0.6781733 -0.6655600
sal + aou Indo-Pacific (-Inf,26] -0.2370693 -0.2499732 -0.2297914
sal + aou Indo-Pacific (26,26.5] -0.1537384 -0.1636752 -0.1466045
sal + aou Indo-Pacific (26.5,26.75] -0.1986787 -0.2053634 -0.1944194
sal + aou Indo-Pacific (26.75,27] -0.4118594 -0.4212430 -0.4067904
sal + aou Indo-Pacific (27,27.25] -0.5979127 -0.6207111 -0.5815417
sal + aou Indo-Pacific (27.25,27.5] -0.2638464 -0.3273801 -0.2069630
sal + aou Indo-Pacific (27.5,27.75] 0.5040272 0.4532618 0.5631470
sal + aou Indo-Pacific (27.75,27.85] 0.7613468 0.7593119 0.7638860
sal + aou Indo-Pacific (27.85,27.95] 0.7602756 0.7532027 0.7660507
sal + aou Indo-Pacific (27.95,28.05] 0.8391339 0.8262840 0.8514025
sal + aou Indo-Pacific (28.05,28.1] 0.8437521 0.8344550 0.8527056
sal + aou Indo-Pacific (28.1, Inf] 0.3247430 0.3076319 0.3410022
sal + nitrate Atlantic (-Inf,26] -0.6868703 -0.7179116 -0.6712761
sal + nitrate Atlantic (26,26.5] -0.4366744 -0.4860334 -0.3916631
sal + nitrate Atlantic (26.5,26.75] 0.1934362 0.1787455 0.2016179
sal + nitrate Atlantic (26.75,27] 0.4024981 0.3885856 0.4133984
sal + nitrate Atlantic (27,27.25] 0.2052782 0.1767968 0.2524350
sal + nitrate Atlantic (27.25,27.5] -0.0566099 -0.0951301 -0.0095269
sal + nitrate Atlantic (27.5,27.75] 0.1978118 0.1617103 0.2475256
sal + nitrate Atlantic (27.75,27.85] -0.3584213 -0.4342005 -0.2982765
sal + nitrate Atlantic (27.85,27.95] -0.6200181 -0.6313216 -0.6109621
sal + nitrate Atlantic (27.95,28.05] -0.8294641 -0.8543487 -0.8057705
sal + nitrate Atlantic (28.05,28.1] -0.9166272 -0.9214348 -0.9081410
sal + nitrate Atlantic (28.1,28.15] -0.9553943 -0.9603009 -0.9486268
sal + nitrate Atlantic (28.15,28.2] -0.9503419 -0.9527606 -0.9485705
sal + nitrate Atlantic (28.2, Inf] -0.8499420 -0.8559121 -0.8464755
sal + nitrate Indo-Pacific (-Inf,26] -0.3658441 -0.3777675 -0.3568582
sal + nitrate Indo-Pacific (26,26.5] -0.3897732 -0.3961381 -0.3815177
sal + nitrate Indo-Pacific (26.5,26.75] -0.4374002 -0.4545267 -0.4287374
sal + nitrate Indo-Pacific (26.75,27] -0.5689930 -0.5750656 -0.5625717
sal + nitrate Indo-Pacific (27,27.25] -0.7284817 -0.7386422 -0.7228063
sal + nitrate Indo-Pacific (27.25,27.5] -0.3940201 -0.4493986 -0.3440312
sal + nitrate Indo-Pacific (27.5,27.75] 0.4035535 0.3552023 0.4627130
sal + nitrate Indo-Pacific (27.75,27.85] 0.7099414 0.7027074 0.7175734
sal + nitrate Indo-Pacific (27.85,27.95] 0.7087608 0.7010132 0.7169902
sal + nitrate Indo-Pacific (27.95,28.05] 0.7750282 0.7575870 0.7899177
sal + nitrate Indo-Pacific (28.05,28.1] 0.7735852 0.7634122 0.7826339
sal + nitrate Indo-Pacific (28.1, Inf] 0.2775758 0.2606039 0.2930801
sal + phosphate Atlantic (-Inf,26] -0.2470031 -0.3080230 -0.1887564
sal + phosphate Atlantic (26,26.5] -0.6477603 -0.6779415 -0.6126145
sal + phosphate Atlantic (26.5,26.75] 0.0161936 0.0112445 0.0231529
sal + phosphate Atlantic (26.75,27] 0.2851343 0.2718985 0.3004196
sal + phosphate Atlantic (27,27.25] 0.0716348 0.0406262 0.1241852
sal + phosphate Atlantic (27.25,27.5] -0.1703906 -0.2083248 -0.1240659
sal + phosphate Atlantic (27.5,27.75] 0.1011291 0.0656558 0.1494869
sal + phosphate Atlantic (27.75,27.85] -0.4286162 -0.4994881 -0.3728332
sal + phosphate Atlantic (27.85,27.95] -0.6529780 -0.6625638 -0.6481195
sal + phosphate Atlantic (27.95,28.05] -0.8410490 -0.8649150 -0.8176464
sal + phosphate Atlantic (28.05,28.1] -0.9210739 -0.9259484 -0.9123538
sal + phosphate Atlantic (28.1,28.15] -0.9558473 -0.9610301 -0.9489391
sal + phosphate Atlantic (28.15,28.2] -0.9335756 -0.9357024 -0.9311630
sal + phosphate Atlantic (28.2, Inf] -0.7797706 -0.7839930 -0.7771128
sal + phosphate Indo-Pacific (-Inf,26] -0.3525234 -0.3657753 -0.3425383
sal + phosphate Indo-Pacific (26,26.5] -0.3677197 -0.3770705 -0.3570489
sal + phosphate Indo-Pacific (26.5,26.75] -0.3661053 -0.3751383 -0.3573588
sal + phosphate Indo-Pacific (26.75,27] -0.5175367 -0.5310881 -0.5091354
sal + phosphate Indo-Pacific (27,27.25] -0.6810177 -0.6956393 -0.6720541
sal + phosphate Indo-Pacific (27.25,27.5] -0.3676856 -0.4298225 -0.3122230
sal + phosphate Indo-Pacific (27.5,27.75] 0.4046864 0.3525247 0.4657000
sal + phosphate Indo-Pacific (27.75,27.85] 0.7045601 0.7003302 0.7114089
sal + phosphate Indo-Pacific (27.85,27.95] 0.7169601 0.7078542 0.7255979
sal + phosphate Indo-Pacific (27.95,28.05] 0.7919313 0.7765546 0.8046977
sal + phosphate Indo-Pacific (28.05,28.1] 0.8010514 0.7915215 0.8101790
sal + phosphate Indo-Pacific (28.1, Inf] 0.3429015 0.3256857 0.3580114
sal + phosphate_star Atlantic (-Inf,26] -0.1809152 -0.2541083 -0.0448673
sal + phosphate_star Atlantic (26,26.5] -0.8784377 -0.8927218 -0.8703589
sal + phosphate_star Atlantic (26.5,26.75] -0.7931160 -0.8036866 -0.7845036
sal + phosphate_star Atlantic (26.75,27] -0.7700164 -0.7982000 -0.7482344
sal + phosphate_star Atlantic (27,27.25] -0.7931634 -0.8105219 -0.7585278
sal + phosphate_star Atlantic (27.25,27.5] -0.8631888 -0.8837235 -0.8408712
sal + phosphate_star Atlantic (27.5,27.75] -0.5896792 -0.6216688 -0.5500335
sal + phosphate_star Atlantic (27.75,27.85] -0.8769957 -0.8934362 -0.8680388
sal + phosphate_star Atlantic (27.85,27.95] -0.8738941 -0.8924032 -0.8614081
sal + phosphate_star Atlantic (27.95,28.05] -0.9399693 -0.9493418 -0.9260655
sal + phosphate_star Atlantic (28.05,28.1] -0.9794720 -0.9812096 -0.9765531
sal + phosphate_star Atlantic (28.1,28.15] -0.9874545 -0.9893404 -0.9843762
sal + phosphate_star Atlantic (28.15,28.2] -0.9714317 -0.9721104 -0.9704455
sal + phosphate_star Atlantic (28.2, Inf] -0.8354080 -0.8422411 -0.8313305
sal + phosphate_star Indo-Pacific (-Inf,26] -0.7056182 -0.7139370 -0.6993530
sal + phosphate_star Indo-Pacific (26,26.5] -0.8613643 -0.8698189 -0.8518835
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8712211 -0.8808780 -0.8606488
sal + phosphate_star Indo-Pacific (26.75,27] -0.8438790 -0.8524478 -0.8368625
sal + phosphate_star Indo-Pacific (27,27.25] -0.8998583 -0.9024677 -0.8978000
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.8047105 -0.8190473 -0.7915996
sal + phosphate_star Indo-Pacific (27.5,27.75] -0.8106417 -0.8203201 -0.8011972
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.9007356 -0.9184049 -0.8890418
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.7428486 -0.7580977 -0.7286041
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.6561572 -0.6748181 -0.6440597
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.5917209 -0.6432300 -0.5434613
sal + phosphate_star Indo-Pacific (28.1, Inf] 0.0717674 0.0624525 0.0846392
sal + silicate Atlantic (-Inf,26] -0.7568977 -0.7712830 -0.7451886
sal + silicate Atlantic (26,26.5] 0.1409218 0.1066396 0.1715053
sal + silicate Atlantic (26.5,26.75] 0.3115241 0.2741967 0.3320598
sal + silicate Atlantic (26.75,27] 0.1772798 0.1663296 0.1901065
sal + silicate Atlantic (27,27.25] -0.0980276 -0.1318328 -0.0338485
sal + silicate Atlantic (27.25,27.5] -0.3477227 -0.3770648 -0.3061074
sal + silicate Atlantic (27.5,27.75] -0.1408015 -0.1814435 -0.0904636
sal + silicate Atlantic (27.75,27.85] -0.7024205 -0.7555239 -0.6558802
sal + silicate Atlantic (27.85,27.95] -0.8160879 -0.8296122 -0.8004146
sal + silicate Atlantic (27.95,28.05] -0.8905372 -0.9077985 -0.8717964
sal + silicate Atlantic (28.05,28.1] -0.9150333 -0.9231164 -0.9018902
sal + silicate Atlantic (28.1,28.15] -0.9270999 -0.9378013 -0.9175395
sal + silicate Atlantic (28.15,28.2] -0.7590736 -0.7643956 -0.7518306
sal + silicate Atlantic (28.2, Inf] -0.2754760 -0.2909172 -0.2652476
sal + silicate Indo-Pacific (-Inf,26] -0.5416617 -0.5532537 -0.5307027
sal + silicate Indo-Pacific (26,26.5] -0.5806557 -0.5841774 -0.5753367
sal + silicate Indo-Pacific (26.5,26.75] -0.6117852 -0.6252514 -0.5995091
sal + silicate Indo-Pacific (26.75,27] -0.6644149 -0.6733550 -0.6576100
sal + silicate Indo-Pacific (27,27.25] -0.7568039 -0.7740751 -0.7437187
sal + silicate Indo-Pacific (27.25,27.5] -0.4706376 -0.5279157 -0.4207712
sal + silicate Indo-Pacific (27.5,27.75] 0.3380321 0.2813709 0.4029913
sal + silicate Indo-Pacific (27.75,27.85] 0.6787362 0.6750797 0.6854998
sal + silicate Indo-Pacific (27.85,27.95] 0.7088293 0.6967381 0.7208143
sal + silicate Indo-Pacific (27.95,28.05] 0.8031682 0.7861040 0.8179621
sal + silicate Indo-Pacific (28.05,28.1] 0.8189008 0.8111172 0.8254550
sal + silicate Indo-Pacific (28.1, Inf] 0.6658320 0.6467533 0.6826391
sal + temp Atlantic (-Inf,26] 0.6511390 0.5661669 0.7324861
sal + temp Atlantic (26,26.5] 0.9587684 0.9571797 0.9613794
sal + temp Atlantic (26.5,26.75] 0.9682579 0.9645885 0.9718814
sal + temp Atlantic (26.75,27] 0.9714132 0.9697215 0.9724368
sal + temp Atlantic (27,27.25] 0.9635498 0.9621473 0.9654397
sal + temp Atlantic (27.25,27.5] 0.9724172 0.9714566 0.9734263
sal + temp Atlantic (27.5,27.75] 0.9684289 0.9673263 0.9701349
sal + temp Atlantic (27.75,27.85] 0.9866050 0.9857672 0.9870718
sal + temp Atlantic (27.85,27.95] 0.9810959 0.9771182 0.9832335
sal + temp Atlantic (27.95,28.05] 0.9756274 0.9748594 0.9760489
sal + temp Atlantic (28.05,28.1] 0.9861434 0.9850801 0.9871082
sal + temp Atlantic (28.1,28.15] 0.9834261 0.9823699 0.9847145
sal + temp Atlantic (28.15,28.2] 0.9785308 0.9780052 0.9794858
sal + temp Atlantic (28.2, Inf] 0.9363464 0.9327854 0.9399009
sal + temp Indo-Pacific (-Inf,26] 0.8218271 0.8162453 0.8304754
sal + temp Indo-Pacific (26,26.5] 0.9528614 0.9508197 0.9546397
sal + temp Indo-Pacific (26.5,26.75] 0.9804807 0.9800879 0.9812528
sal + temp Indo-Pacific (26.75,27] 0.9789170 0.9778725 0.9800302
sal + temp Indo-Pacific (27,27.25] 0.9747856 0.9738221 0.9761176
sal + temp Indo-Pacific (27.25,27.5] 0.9225845 0.9209254 0.9255957
sal + temp Indo-Pacific (27.5,27.75] 0.8752955 0.8689387 0.8796362
sal + temp Indo-Pacific (27.75,27.85] 0.9709806 0.9676832 0.9738723
sal + temp Indo-Pacific (27.85,27.95] 0.9401036 0.9386990 0.9428082
sal + temp Indo-Pacific (27.95,28.05] 0.9448482 0.9414206 0.9471688
sal + temp Indo-Pacific (28.05,28.1] 0.9749792 0.9726500 0.9769447
sal + temp Indo-Pacific (28.1, Inf] 0.4323831 0.4166053 0.4523741
silicate + phosphate Atlantic (-Inf,26] -0.1767539 -0.2928210 -0.0897761
silicate + phosphate Atlantic (26,26.5] 0.0480546 0.0062453 0.0936456
silicate + phosphate Atlantic (26.5,26.75] 0.5698319 0.5170708 0.6078814
silicate + phosphate Atlantic (26.75,27] 0.8446424 0.8387033 0.8478812
silicate + phosphate Atlantic (27,27.25] 0.9047228 0.9019611 0.9071203
silicate + phosphate Atlantic (27.25,27.5] 0.8976587 0.8965672 0.8993894
silicate + phosphate Atlantic (27.5,27.75] 0.8968621 0.8966018 0.8970661
silicate + phosphate Atlantic (27.75,27.85] 0.8768523 0.8720228 0.8795054
silicate + phosphate Atlantic (27.85,27.95] 0.9332310 0.9238160 0.9415917
silicate + phosphate Atlantic (27.95,28.05] 0.9735759 0.9724748 0.9751590
silicate + phosphate Atlantic (28.05,28.1] 0.9857675 0.9850984 0.9862137
silicate + phosphate Atlantic (28.1,28.15] 0.9885071 0.9878180 0.9890203
silicate + phosphate Atlantic (28.15,28.2] 0.9360992 0.9345227 0.9375811
silicate + phosphate Atlantic (28.2, Inf] 0.7961239 0.7905704 0.8050283
silicate + phosphate Indo-Pacific (-Inf,26] 0.8862222 0.8843191 0.8896584
silicate + phosphate Indo-Pacific (26,26.5] 0.8759926 0.8742141 0.8778566
silicate + phosphate Indo-Pacific (26.5,26.75] 0.8653349 0.8642019 0.8659571
silicate + phosphate Indo-Pacific (26.75,27] 0.9202138 0.9192001 0.9208790
silicate + phosphate Indo-Pacific (27,27.25] 0.9573715 0.9559672 0.9586657
silicate + phosphate Indo-Pacific (27.25,27.5] 0.9719943 0.9715551 0.9728242
silicate + phosphate Indo-Pacific (27.5,27.75] 0.9805859 0.9804577 0.9807395
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9880989 0.9872948 0.9888578
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9873878 0.9871035 0.9876155
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9937230 0.9934563 0.9942082
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9942782 0.9940885 0.9944982
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8644015 0.8629234 0.8667443
silicate + phosphate_star Atlantic (-Inf,26] -0.2459548 -0.3565868 -0.1376807
silicate + phosphate_star Atlantic (26,26.5] -0.2665440 -0.2896069 -0.2321948
silicate + phosphate_star Atlantic (26.5,26.75] 0.0227272 -0.0387369 0.0595745
silicate + phosphate_star Atlantic (26.75,27] 0.1979084 0.1890799 0.2136774
silicate + phosphate_star Atlantic (27,27.25] 0.5375903 0.5218494 0.5471207
silicate + phosphate_star Atlantic (27.25,27.5] 0.6692064 0.6615664 0.6806401
silicate + phosphate_star Atlantic (27.5,27.75] 0.7983664 0.7895860 0.8068891
silicate + phosphate_star Atlantic (27.75,27.85] 0.9090600 0.8858547 0.9277813
silicate + phosphate_star Atlantic (27.85,27.95] 0.9649319 0.9614292 0.9682642
silicate + phosphate_star Atlantic (27.95,28.05] 0.9209909 0.9173853 0.9233468
silicate + phosphate_star Atlantic (28.05,28.1] 0.9208484 0.9092658 0.9291839
silicate + phosphate_star Atlantic (28.1,28.15] 0.9411309 0.9338773 0.9503675
silicate + phosphate_star Atlantic (28.15,28.2] 0.8661539 0.8646111 0.8671638
silicate + phosphate_star Atlantic (28.2, Inf] 0.7353352 0.7332756 0.7392905
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7733798 0.7728633 0.7741719
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7787725 0.7745662 0.7811845
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.8013751 0.7938203 0.8129968
silicate + phosphate_star Indo-Pacific (26.75,27] 0.8195720 0.8137299 0.8231107
silicate + phosphate_star Indo-Pacific (27,27.25] 0.8155893 0.7951994 0.8389614
silicate + phosphate_star Indo-Pacific (27.25,27.5] 0.5194418 0.4598183 0.5771409
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.1089152 -0.1752079 -0.0425163
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4741578 -0.4906039 -0.4503833
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.2616396 -0.2686376 -0.2482012
silicate + phosphate_star Indo-Pacific (27.95,28.05] -0.2740780 -0.3126817 -0.2402617
silicate + phosphate_star Indo-Pacific (28.05,28.1] -0.1810628 -0.2638308 -0.0997673
silicate + phosphate_star Indo-Pacific (28.1, Inf] 0.4350395 0.4191971 0.4456505
temp + aou Atlantic (-Inf,26] -0.6582809 -0.6763356 -0.6433290
temp + aou Atlantic (26,26.5] -0.4373949 -0.4641444 -0.4044340
temp + aou Atlantic (26.5,26.75] 0.1474622 0.1354613 0.1644097
temp + aou Atlantic (26.75,27] 0.4053643 0.3811407 0.4332706
temp + aou Atlantic (27,27.25] 0.3402720 0.3285268 0.3605002
temp + aou Atlantic (27.25,27.5] 0.4191076 0.4121358 0.4322970
temp + aou Atlantic (27.5,27.75] 0.6659403 0.6585434 0.6751107
temp + aou Atlantic (27.75,27.85] 0.6526448 0.5632387 0.7154448
temp + aou Atlantic (27.85,27.95] 0.2068345 0.0605506 0.3679714
temp + aou Atlantic (27.95,28.05] 0.1555555 0.1469084 0.1652348
temp + aou Atlantic (28.05,28.1] -0.2286144 -0.3040675 -0.1409050
temp + aou Atlantic (28.1,28.15] -0.6653855 -0.7227301 -0.6124718
temp + aou Atlantic (28.15,28.2] -0.7533205 -0.7590926 -0.7495162
temp + aou Atlantic (28.2, Inf] -0.7380547 -0.7425309 -0.7325465
temp + aou Indo-Pacific (-Inf,26] -0.3806647 -0.3866245 -0.3744985
temp + aou Indo-Pacific (26,26.5] -0.2028672 -0.2105324 -0.1883090
temp + aou Indo-Pacific (26.5,26.75] -0.1794201 -0.1834156 -0.1749968
temp + aou Indo-Pacific (26.75,27] -0.3592715 -0.3642739 -0.3534145
temp + aou Indo-Pacific (27,27.25] -0.5608711 -0.5793281 -0.5514577
temp + aou Indo-Pacific (27.25,27.5] -0.2372497 -0.2917889 -0.1898226
temp + aou Indo-Pacific (27.5,27.75] 0.4202746 0.3767648 0.4684894
temp + aou Indo-Pacific (27.75,27.85] 0.7603008 0.7506116 0.7671910
temp + aou Indo-Pacific (27.85,27.95] 0.7353441 0.7297857 0.7426351
temp + aou Indo-Pacific (27.95,28.05] 0.7932109 0.7801836 0.8057200
temp + aou Indo-Pacific (28.05,28.1] 0.8274539 0.8110730 0.8427661
temp + aou Indo-Pacific (28.1, Inf] 0.7911279 0.7836741 0.8019557
temp + nitrate Atlantic (-Inf,26] -0.7277184 -0.7597824 -0.6955697
temp + nitrate Atlantic (26,26.5] -0.4793072 -0.5015273 -0.4423891
temp + nitrate Atlantic (26.5,26.75] 0.0712045 0.0545166 0.0857461
temp + nitrate Atlantic (26.75,27] 0.3219715 0.3046276 0.3314934
temp + nitrate Atlantic (27,27.25] 0.1723409 0.1457405 0.2118038
temp + nitrate Atlantic (27.25,27.5] -0.0151046 -0.0525696 0.0348306
temp + nitrate Atlantic (27.5,27.75] 0.1782729 0.1517148 0.2143478
temp + nitrate Atlantic (27.75,27.85] -0.3484299 -0.4063531 -0.2973488
temp + nitrate Atlantic (27.85,27.95] -0.6292074 -0.6395058 -0.6152962
temp + nitrate Atlantic (27.95,28.05] -0.7930711 -0.8140359 -0.7817634
temp + nitrate Atlantic (28.05,28.1] -0.8751991 -0.8838324 -0.8637594
temp + nitrate Atlantic (28.1,28.15] -0.9135984 -0.9210959 -0.9053861
temp + nitrate Atlantic (28.15,28.2] -0.9222701 -0.9250441 -0.9202182
temp + nitrate Atlantic (28.2, Inf] -0.9118866 -0.9246519 -0.9012111
temp + nitrate Indo-Pacific (-Inf,26] -0.5259229 -0.5363778 -0.5183736
temp + nitrate Indo-Pacific (26,26.5] -0.4429181 -0.4535480 -0.4291288
temp + nitrate Indo-Pacific (26.5,26.75] -0.4234727 -0.4382699 -0.4157696
temp + nitrate Indo-Pacific (26.75,27] -0.5305533 -0.5343929 -0.5242272
temp + nitrate Indo-Pacific (27,27.25] -0.7078660 -0.7130721 -0.7008504
temp + nitrate Indo-Pacific (27.25,27.5] -0.3989366 -0.4456599 -0.3567903
temp + nitrate Indo-Pacific (27.5,27.75] 0.2767965 0.2336650 0.3268450
temp + nitrate Indo-Pacific (27.75,27.85] 0.7056786 0.6951807 0.7124755
temp + nitrate Indo-Pacific (27.85,27.95] 0.6702054 0.6633593 0.6764281
temp + nitrate Indo-Pacific (27.95,28.05] 0.7153122 0.6972643 0.7304368
temp + nitrate Indo-Pacific (28.05,28.1] 0.7540144 0.7365191 0.7700116
temp + nitrate Indo-Pacific (28.1, Inf] 0.7224720 0.7110770 0.7379395
temp + phosphate Atlantic (-Inf,26] -0.6690811 -0.6963294 -0.6465384
temp + phosphate Atlantic (26,26.5] -0.6663966 -0.6845295 -0.6362396
temp + phosphate Atlantic (26.5,26.75] -0.0898675 -0.0975693 -0.0782312
temp + phosphate Atlantic (26.75,27] 0.2134183 0.1975561 0.2233736
temp + phosphate Atlantic (27,27.25] 0.0540032 0.0240916 0.0989386
temp + phosphate Atlantic (27.25,27.5] -0.1216204 -0.1587041 -0.0719227
temp + phosphate Atlantic (27.5,27.75] 0.0863805 0.0608599 0.1205308
temp + phosphate Atlantic (27.75,27.85] -0.4176519 -0.4713273 -0.3706402
temp + phosphate Atlantic (27.85,27.95] -0.6612200 -0.6692960 -0.6512959
temp + phosphate Atlantic (27.95,28.05] -0.8060887 -0.8262808 -0.7943750
temp + phosphate Atlantic (28.05,28.1] -0.8796311 -0.8883705 -0.8677296
temp + phosphate Atlantic (28.1,28.15] -0.9146856 -0.9227032 -0.9060872
temp + phosphate Atlantic (28.15,28.2] -0.9127390 -0.9150789 -0.9107564
temp + phosphate Atlantic (28.2, Inf] -0.8775759 -0.8886954 -0.8677833
temp + phosphate Indo-Pacific (-Inf,26] -0.4979261 -0.5056327 -0.4887491
temp + phosphate Indo-Pacific (26,26.5] -0.4228831 -0.4295454 -0.4173125
temp + phosphate Indo-Pacific (26.5,26.75] -0.3485770 -0.3545956 -0.3420580
temp + phosphate Indo-Pacific (26.75,27] -0.4731189 -0.4832245 -0.4639011
temp + phosphate Indo-Pacific (27,27.25] -0.6540478 -0.6636728 -0.6461852
temp + phosphate Indo-Pacific (27.25,27.5] -0.3634642 -0.4170711 -0.3175657
temp + phosphate Indo-Pacific (27.5,27.75] 0.3003043 0.2562968 0.3498224
temp + phosphate Indo-Pacific (27.75,27.85] 0.7013783 0.6897367 0.7080741
temp + phosphate Indo-Pacific (27.85,27.95] 0.6829283 0.6753797 0.6893420
temp + phosphate Indo-Pacific (27.95,28.05] 0.7280167 0.7120882 0.7407502
temp + phosphate Indo-Pacific (28.05,28.1] 0.7764163 0.7595001 0.7925025
temp + phosphate Indo-Pacific (28.1, Inf] 0.7457547 0.7320848 0.7638933
temp + phosphate_star Atlantic (-Inf,26] -0.6582541 -0.6872691 -0.6141086
temp + phosphate_star Atlantic (26,26.5] -0.8670701 -0.8760434 -0.8591561
temp + phosphate_star Atlantic (26.5,26.75] -0.8142714 -0.8245667 -0.8038588
temp + phosphate_star Atlantic (26.75,27] -0.8098036 -0.8324530 -0.7954248
temp + phosphate_star Atlantic (27,27.25] -0.7891815 -0.8129506 -0.7553937
temp + phosphate_star Atlantic (27.25,27.5] -0.8375501 -0.8608379 -0.8086820
temp + phosphate_star Atlantic (27.5,27.75] -0.6071694 -0.6318338 -0.5793611
temp + phosphate_star Atlantic (27.75,27.85] -0.8781549 -0.8847858 -0.8732156
temp + phosphate_star Atlantic (27.85,27.95] -0.8876898 -0.8985939 -0.8791556
temp + phosphate_star Atlantic (27.95,28.05] -0.9520548 -0.9588327 -0.9445269
temp + phosphate_star Atlantic (28.05,28.1] -0.9705370 -0.9730475 -0.9681742
temp + phosphate_star Atlantic (28.1,28.15] -0.9741710 -0.9755987 -0.9713259
temp + phosphate_star Atlantic (28.15,28.2] -0.9732452 -0.9753742 -0.9714919
temp + phosphate_star Atlantic (28.2, Inf] -0.9369340 -0.9500499 -0.9260236
temp + phosphate_star Indo-Pacific (-Inf,26] -0.8417282 -0.8456461 -0.8368005
temp + phosphate_star Indo-Pacific (26,26.5] -0.9100893 -0.9151977 -0.9057863
temp + phosphate_star Indo-Pacific (26.5,26.75] -0.8737451 -0.8807378 -0.8632277
temp + phosphate_star Indo-Pacific (26.75,27] -0.8447628 -0.8524993 -0.8371298
temp + phosphate_star Indo-Pacific (27,27.25] -0.9167667 -0.9244539 -0.9110084
temp + phosphate_star Indo-Pacific (27.25,27.5] -0.9093413 -0.9179653 -0.9030805
temp + phosphate_star Indo-Pacific (27.5,27.75] -0.9373742 -0.9418757 -0.9285792
temp + phosphate_star Indo-Pacific (27.75,27.85] -0.9266371 -0.9351984 -0.9168972
temp + phosphate_star Indo-Pacific (27.85,27.95] -0.8347142 -0.8455116 -0.8265118
temp + phosphate_star Indo-Pacific (27.95,28.05] -0.7766928 -0.7919989 -0.7677776
temp + phosphate_star Indo-Pacific (28.05,28.1] -0.6599858 -0.7015926 -0.6208481
temp + phosphate_star Indo-Pacific (28.1, Inf] -0.3087578 -0.3282860 -0.2908039
temp + silicate Atlantic (-Inf,26] -0.3335564 -0.3789944 -0.2639055
temp + silicate Atlantic (26,26.5] 0.1014521 0.0796724 0.1221146
temp + silicate Atlantic (26.5,26.75] 0.2102089 0.1708292 0.2366570
temp + silicate Atlantic (26.75,27] 0.0678430 0.0621543 0.0769221
temp + silicate Atlantic (27,27.25] -0.1432543 -0.1872041 -0.0878895
temp + silicate Atlantic (27.25,27.5] -0.2994405 -0.3283415 -0.2515701
temp + silicate Atlantic (27.5,27.75] -0.1669448 -0.1980317 -0.1296330
temp + silicate Atlantic (27.75,27.85] -0.6859031 -0.7280738 -0.6432569
temp + silicate Atlantic (27.85,27.95] -0.8165101 -0.8235621 -0.8120362
temp + silicate Atlantic (27.95,28.05] -0.8522230 -0.8674870 -0.8408234
temp + silicate Atlantic (28.05,28.1] -0.8681734 -0.8779046 -0.8492097
temp + silicate Atlantic (28.1,28.15] -0.8806837 -0.8964469 -0.8673877
temp + silicate Atlantic (28.15,28.2] -0.7506098 -0.7533673 -0.7452790
temp + silicate Atlantic (28.2, Inf] -0.5099667 -0.5248723 -0.4968340
temp + silicate Indo-Pacific (-Inf,26] -0.6004668 -0.6081444 -0.5907848
temp + silicate Indo-Pacific (26,26.5] -0.6096423 -0.6127962 -0.6051280
temp + silicate Indo-Pacific (26.5,26.75] -0.6023459 -0.6135843 -0.5917000
temp + silicate Indo-Pacific (26.75,27] -0.6368693 -0.6430979 -0.6298978
temp + silicate Indo-Pacific (27,27.25] -0.7427265 -0.7555932 -0.7357479
temp + silicate Indo-Pacific (27.25,27.5] -0.4618547 -0.5098769 -0.4207006
temp + silicate Indo-Pacific (27.5,27.75] 0.2226169 0.1740085 0.2759907
temp + silicate Indo-Pacific (27.75,27.85] 0.6743394 0.6604160 0.6823501
temp + silicate Indo-Pacific (27.85,27.95] 0.6587362 0.6495905 0.6643349
temp + silicate Indo-Pacific (27.95,28.05] 0.7406812 0.7222853 0.7558238
temp + silicate Indo-Pacific (28.05,28.1] 0.7968017 0.7821568 0.8100255
temp + silicate Indo-Pacific (28.1, Inf] 0.5853346 0.5665192 0.6108979
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
c7892c1 Donghe-Zhu 2021-03-04
924430b Donghe-Zhu 2021-03-03
0d0bca1 Donghe-Zhu 2021-03-03
cb63c16 Donghe-Zhu 2021-03-03
ffda45a Donghe-Zhu 2021-03-03
691ba81 Donghe-Zhu 2021-03-03
c5e45a2 Donghe-Zhu 2021-03-03
89c3e58 Donghe-Zhu 2021-03-03
c911669 Donghe-Zhu 2021-03-03
13666ca Donghe-Zhu 2021-03-01
7a388f7 Donghe-Zhu 2021-03-01
799e913 Donghe-Zhu 2021-03-01
66ff99f Donghe-Zhu 2021-03-01
ac9bb7a Donghe-Zhu 2021-02-28
efdc047 Donghe-Zhu 2021-02-28
e9a7418 Donghe-Zhu 2021-02-28
54d5b5b Donghe-Zhu 2021-02-27
330f064 Donghe-Zhu 2021-02-27
5937141 Donghe-Zhu 2021-02-27
4414bbf Donghe-Zhu 2021-02-27
a265efb Donghe-Zhu 2021-02-27
19edd1e Donghe-Zhu 2021-02-27
f20483f Donghe-Zhu 2021-02-26
6a2c7b3 Donghe-Zhu 2021-02-25
354c224 Donghe-Zhu 2021-02-24
1a0a88a Donghe-Zhu 2021-02-24
57f701e Donghe-Zhu 2021-02-24
06f3149 Donghe-Zhu 2021-02-16
5dce4b1 Donghe-Zhu 2021-02-15
4469a0c Donghe-Zhu 2021-02-13
5ae6a69 Donghe-Zhu 2021-02-10
05385dc Donghe-Zhu 2021-02-10
f791ae4 Donghe-Zhu 2021-02-09
f71ae34 Donghe-Zhu 2021-02-09
a145fa7 Donghe-Zhu 2021-02-09
c344e42 Donghe-Zhu 2021-02-08
1fad5f1 Donghe-Zhu 2021-02-07
ca03c39 Donghe-Zhu 2021-02-07
cd7c52c Donghe-Zhu 2021-02-04
bcf84f4 Donghe-Zhu 2021-02-02
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] 0.3522011 0.2204001 0.4629522
aou Atlantic (26,26.5] 0.0246741 -0.1504617 0.1829499
aou Atlantic (26.5,26.75] 0.0574373 -0.1535390 0.2930868
aou Atlantic (26.75,27] -0.0172831 -0.2934068 0.2937265
aou Atlantic (27,27.25] -0.3536792 -0.5601807 -0.1389801
aou Atlantic (27.25,27.5] -0.2587978 -0.4109583 -0.0862241
aou Atlantic (27.5,27.75] -0.1445739 -0.2280339 -0.0661770
aou Atlantic (27.75,27.85] -0.0537044 -0.1002491 -0.0291598
aou Atlantic (27.85,27.95] -0.4981847 -0.5937044 -0.4082447
aou Atlantic (27.95,28.05] -0.3344429 -0.4206405 -0.2822139
aou Atlantic (28.05,28.1] -0.5866284 -0.5979615 -0.5784368
aou Atlantic (28.1,28.15] -0.8748506 -0.8867608 -0.8649072
aou Atlantic (28.15,28.2] -0.9277529 -0.9430402 -0.9195863
aou Atlantic (28.2, Inf] -0.8660966 -0.8768408 -0.8539289
aou Indo-Pacific (-Inf,26] -0.0790306 -0.2834331 0.1068160
aou Indo-Pacific (26,26.5] -0.4266942 -0.6034085 -0.2092567
aou Indo-Pacific (26.5,26.75] -0.7312012 -0.8238014 -0.6094453
aou Indo-Pacific (26.75,27] -0.8078560 -0.8771598 -0.7188214
aou Indo-Pacific (27,27.25] -0.7922298 -0.8789402 -0.6819423
aou Indo-Pacific (27.25,27.5] -0.6118430 -0.8424853 -0.2621613
aou Indo-Pacific (27.5,27.75] -0.1726661 -0.7648993 0.6278681
aou Indo-Pacific (27.75,27.85] 0.1190378 -0.5528758 0.8397882
aou Indo-Pacific (27.85,27.95] 0.2817994 -0.2296930 0.7719266
aou Indo-Pacific (27.95,28.05] 0.1503132 -0.3096490 0.6252272
aou Indo-Pacific (28.05,28.1] 0.2518014 -0.1694539 0.6820307
aou Indo-Pacific (28.1, Inf] 0.5321987 0.4209148 0.6350862
nitrate Atlantic (-Inf,26] -0.0280908 -0.2121840 0.0682956
nitrate Atlantic (26,26.5] -0.1950052 -0.3740187 -0.0306580
nitrate Atlantic (26.5,26.75] -0.0954264 -0.3071090 0.1398316
nitrate Atlantic (26.75,27] -0.1411092 -0.4057419 0.1581460
nitrate Atlantic (27,27.25] -0.5565065 -0.7205882 -0.3784458
nitrate Atlantic (27.25,27.5] -0.6937189 -0.7824910 -0.5870824
nitrate Atlantic (27.5,27.75] -0.8442745 -0.8822158 -0.8038645
nitrate Atlantic (27.75,27.85] -0.9071582 -0.9238415 -0.8860718
nitrate Atlantic (27.85,27.95] -0.9654396 -0.9741951 -0.9548624
nitrate Atlantic (27.95,28.05] -0.9471910 -0.9493913 -0.9431034
nitrate Atlantic (28.05,28.1] -0.9898143 -0.9922535 -0.9861519
nitrate Atlantic (28.1,28.15] -0.9930402 -0.9949830 -0.9891586
nitrate Atlantic (28.15,28.2] -0.9956708 -0.9964082 -0.9948303
nitrate Atlantic (28.2, Inf] -0.9774288 -0.9820931 -0.9725525
nitrate Indo-Pacific (-Inf,26] -0.0980515 -0.3040736 0.0882642
nitrate Indo-Pacific (26,26.5] -0.4211910 -0.5878373 -0.2298953
nitrate Indo-Pacific (26.5,26.75] -0.6456535 -0.7213523 -0.5438753
nitrate Indo-Pacific (26.75,27] -0.6926235 -0.7617605 -0.5936300
nitrate Indo-Pacific (27,27.25] -0.7442894 -0.8166916 -0.6495358
nitrate Indo-Pacific (27.25,27.5] -0.6127060 -0.8280516 -0.2856371
nitrate Indo-Pacific (27.5,27.75] -0.1998701 -0.7688953 0.5785534
nitrate Indo-Pacific (27.75,27.85] 0.1441901 -0.5181359 0.8412780
nitrate Indo-Pacific (27.85,27.95] 0.3320438 -0.1592428 0.7948730
nitrate Indo-Pacific (27.95,28.05] 0.2225059 -0.2163008 0.6705791
nitrate Indo-Pacific (28.05,28.1] 0.3269591 -0.0634144 0.7193389
nitrate Indo-Pacific (28.1, Inf] 0.5575169 0.4673917 0.6404056
phosphate Atlantic (-Inf,26] 0.4606751 0.3682187 0.5776008
phosphate Atlantic (26,26.5] 0.0430458 -0.0795856 0.1533724
phosphate Atlantic (26.5,26.75] -0.0880078 -0.2769307 0.1258234
phosphate Atlantic (26.75,27] -0.1796410 -0.4243808 0.0924386
phosphate Atlantic (27,27.25] -0.6010101 -0.7469905 -0.4356041
phosphate Atlantic (27.25,27.5] -0.7427406 -0.8163597 -0.6518042
phosphate Atlantic (27.5,27.75] -0.8693132 -0.8988280 -0.8367052
phosphate Atlantic (27.75,27.85] -0.9308633 -0.9429852 -0.9146967
phosphate Atlantic (27.85,27.95] -0.9672817 -0.9768014 -0.9552281
phosphate Atlantic (27.95,28.05] -0.9498717 -0.9533913 -0.9461427
phosphate Atlantic (28.05,28.1] -0.9897485 -0.9922211 -0.9856507
phosphate Atlantic (28.1,28.15] -0.9929922 -0.9948697 -0.9893227
phosphate Atlantic (28.15,28.2] -0.9939181 -0.9957331 -0.9926271
phosphate Atlantic (28.2, Inf] -0.9831553 -0.9842616 -0.9812918
phosphate Indo-Pacific (-Inf,26] -0.1253293 -0.3328354 0.0657657
phosphate Indo-Pacific (26,26.5] -0.5572447 -0.7220927 -0.3521074
phosphate Indo-Pacific (26.5,26.75] -0.8040334 -0.8788438 -0.7019744
phosphate Indo-Pacific (26.75,27] -0.8450789 -0.9005857 -0.7715733
phosphate Indo-Pacific (27,27.25] -0.8331671 -0.8995901 -0.7464234
phosphate Indo-Pacific (27.25,27.5] -0.6721198 -0.8726122 -0.3608538
phosphate Indo-Pacific (27.5,27.75] -0.2062181 -0.7686738 0.5626137
phosphate Indo-Pacific (27.75,27.85] 0.1526645 -0.5020486 0.8421314
phosphate Indo-Pacific (27.85,27.95] 0.3173622 -0.1763964 0.7839503
phosphate Indo-Pacific (27.95,28.05] 0.2119292 -0.2246045 0.6585789
phosphate Indo-Pacific (28.05,28.1] 0.2993386 -0.0939337 0.6960126
phosphate Indo-Pacific (28.1, Inf] 0.5125893 0.4148062 0.6039248
phosphate_star Atlantic (-Inf,26] 0.1474879 0.0865389 0.2478493
phosphate_star Atlantic (26,26.5] 0.1130419 0.0939309 0.1237801
phosphate_star Atlantic (26.5,26.75] -0.3425309 -0.3573809 -0.3317141
phosphate_star Atlantic (26.75,27] -0.4950885 -0.6118158 -0.4033413
phosphate_star Atlantic (27,27.25] -0.6183427 -0.6688327 -0.5280785
phosphate_star Atlantic (27.25,27.5] -0.7646079 -0.8428459 -0.6753261
phosphate_star Atlantic (27.5,27.75] -0.7943746 -0.8445425 -0.7373702
phosphate_star Atlantic (27.75,27.85] -0.8871824 -0.9405853 -0.8278056
phosphate_star Atlantic (27.85,27.95] -0.8970938 -0.9330014 -0.8523782
phosphate_star Atlantic (27.95,28.05] -0.8738369 -0.9027366 -0.8447529
phosphate_star Atlantic (28.05,28.1] -0.9389761 -0.9651555 -0.9051852
phosphate_star Atlantic (28.1,28.15] -0.9645136 -0.9810793 -0.9447463
phosphate_star Atlantic (28.15,28.2] -0.9780579 -0.9866928 -0.9700845
phosphate_star Atlantic (28.2, Inf] -0.9802476 -0.9876315 -0.9725346
phosphate_star Indo-Pacific (-Inf,26] 0.0060157 -0.1518713 0.1554139
phosphate_star Indo-Pacific (26,26.5] -0.5650407 -0.6248938 -0.4850198
phosphate_star Indo-Pacific (26.5,26.75] -0.6258532 -0.6367030 -0.6106383
phosphate_star Indo-Pacific (26.75,27] -0.5711382 -0.5947817 -0.5360625
phosphate_star Indo-Pacific (27,27.25] -0.6889591 -0.7010617 -0.6771557
phosphate_star Indo-Pacific (27.25,27.5] -0.5444242 -0.5606736 -0.5279694
phosphate_star Indo-Pacific (27.5,27.75] -0.1892321 -0.5645074 0.1007430
phosphate_star Indo-Pacific (27.75,27.85] 0.2497026 -0.3792672 0.7340089
phosphate_star Indo-Pacific (27.85,27.95] 0.3106705 -0.0403922 0.6175648
phosphate_star Indo-Pacific (27.95,28.05] 0.4763746 0.1336210 0.7606479
phosphate_star Indo-Pacific (28.05,28.1] 0.4512144 0.1444784 0.7204997
phosphate_star Indo-Pacific (28.1, Inf] 0.0887791 0.0032713 0.1850067
sal Atlantic (-Inf,26] 0.6527983 0.6130493 0.7230522
sal Atlantic (26,26.5] -0.1034514 -0.1413054 -0.0469843
sal Atlantic (26.5,26.75] 0.0028774 -0.0970416 0.1007826
sal Atlantic (26.75,27] 0.0261486 -0.1490741 0.2686603
sal Atlantic (27,27.25] 0.0560758 -0.1126791 0.1567483
sal Atlantic (27.25,27.5] 0.3657229 0.2053557 0.5144044
sal Atlantic (27.5,27.75] -0.0048326 -0.1422679 0.1170384
sal Atlantic (27.75,27.85] 0.5711002 0.4550834 0.6970652
sal Atlantic (27.85,27.95] 0.5964179 0.5432234 0.6480818
sal Atlantic (27.95,28.05] 0.7333269 0.6656732 0.7764477
sal Atlantic (28.05,28.1] 0.8934925 0.8502104 0.9247758
sal Atlantic (28.1,28.15] 0.9358077 0.9069616 0.9567659
sal Atlantic (28.15,28.2] 0.9434888 0.9333874 0.9588714
sal Atlantic (28.2, Inf] 0.7781850 0.7536240 0.8105212
sal Indo-Pacific (-Inf,26] -0.0698154 -0.1491974 0.0082446
sal Indo-Pacific (26,26.5] 0.3107341 0.2711616 0.3435957
sal Indo-Pacific (26.5,26.75] 0.2957537 0.2767710 0.3071957
sal Indo-Pacific (26.75,27] 0.2129274 0.1549521 0.2698752
sal Indo-Pacific (27,27.25] 0.4491257 0.4076377 0.4911085
sal Indo-Pacific (27.25,27.5] 0.2062570 0.1242236 0.2738224
sal Indo-Pacific (27.5,27.75] -0.0732409 -0.4136862 0.4410585
sal Indo-Pacific (27.75,27.85] -0.1979262 -0.7840014 0.4886103
sal Indo-Pacific (27.85,27.95] -0.0532332 -0.5049093 0.4249936
sal Indo-Pacific (27.95,28.05] -0.2180954 -0.6313067 0.2467662
sal Indo-Pacific (28.05,28.1] -0.1468602 -0.5558166 0.3015715
sal Indo-Pacific (28.1, Inf] 0.0356703 -0.1374355 0.2039866
silicate Atlantic (-Inf,26] -0.6443460 -0.7532796 -0.5783116
silicate Atlantic (26,26.5] -0.4882601 -0.5842311 -0.3975975
silicate Atlantic (26.5,26.75] -0.3283593 -0.4912114 -0.1389971
silicate Atlantic (26.75,27] -0.4147958 -0.6487665 -0.1550944
silicate Atlantic (27,27.25] -0.7634946 -0.8635707 -0.6363187
silicate Atlantic (27.25,27.5] -0.8588285 -0.8988615 -0.8007623
silicate Atlantic (27.5,27.75] -0.9071838 -0.9101307 -0.9055397
silicate Atlantic (27.75,27.85] -0.9262975 -0.9399253 -0.9104053
silicate Atlantic (27.85,27.95] -0.9008295 -0.9257675 -0.8677212
silicate Atlantic (27.95,28.05] -0.9048611 -0.9119415 -0.9000405
silicate Atlantic (28.05,28.1] -0.9678449 -0.9701322 -0.9666152
silicate Atlantic (28.1,28.15] -0.9784755 -0.9807639 -0.9755597
silicate Atlantic (28.15,28.2] -0.9135640 -0.9283425 -0.8966707
silicate Atlantic (28.2, Inf] -0.7723957 -0.8112382 -0.7331385
silicate Indo-Pacific (-Inf,26] -0.1113274 -0.2978136 0.0602042
silicate Indo-Pacific (26,26.5] -0.6418984 -0.7659941 -0.4878030
silicate Indo-Pacific (26.5,26.75] -0.7437521 -0.8058530 -0.6567211
silicate Indo-Pacific (26.75,27] -0.6960790 -0.7586041 -0.6137001
silicate Indo-Pacific (27,27.25] -0.6979002 -0.7811326 -0.5917158
silicate Indo-Pacific (27.25,27.5] -0.5680960 -0.7829393 -0.2404105
silicate Indo-Pacific (27.5,27.75] -0.1541029 -0.7158184 0.6022739
silicate Indo-Pacific (27.75,27.85] 0.1771197 -0.4786934 0.8602028
silicate Indo-Pacific (27.85,27.95] 0.3268537 -0.1714762 0.7952970
silicate Indo-Pacific (27.95,28.05] 0.2072900 -0.2413394 0.6680517
silicate Indo-Pacific (28.05,28.1] 0.2948632 -0.1058357 0.7011601
silicate Indo-Pacific (28.1, Inf] 0.4974656 0.3697258 0.6191686
temp Atlantic (-Inf,26] -0.0307166 -0.1732742 0.1573824
temp Atlantic (26,26.5] -0.2453671 -0.2823029 -0.1900896
temp Atlantic (26.5,26.75] -0.0181765 -0.0876699 0.0482284
temp Atlantic (26.75,27] 0.0958088 -0.0442651 0.3035621
temp Atlantic (27,27.25] 0.0792146 -0.0632308 0.1591594
temp Atlantic (27.25,27.5] 0.3188758 0.1545599 0.4648033
temp Atlantic (27.5,27.75] 0.0189499 -0.0975819 0.1246884
temp Atlantic (27.75,27.85] 0.5703552 0.4642242 0.6798868
temp Atlantic (27.85,27.95] 0.6104971 0.5512574 0.6599327
temp Atlantic (27.95,28.05] 0.7151114 0.6554335 0.7570025
temp Atlantic (28.05,28.1] 0.8511080 0.7985637 0.8872268
temp Atlantic (28.1,28.15] 0.8913340 0.8560073 0.9198919
temp Atlantic (28.15,28.2] 0.9162670 0.9047574 0.9330360
temp Atlantic (28.2, Inf] 0.8813849 0.8738245 0.8883176
temp Indo-Pacific (-Inf,26] -0.3862054 -0.4977077 -0.2690945
temp Indo-Pacific (26,26.5] 0.2689687 0.2078186 0.3223524
temp Indo-Pacific (26.5,26.75] 0.2533227 0.2255078 0.2696289
temp Indo-Pacific (26.75,27] 0.1460504 0.0866732 0.2034377
temp Indo-Pacific (27,27.25] 0.4197636 0.3897932 0.4518497
temp Indo-Pacific (27.25,27.5] 0.3185344 0.2909234 0.3418430
temp Indo-Pacific (27.5,27.75] 0.1175234 -0.2033542 0.5429226
temp Indo-Pacific (27.75,27.85] -0.1971514 -0.7703971 0.4924621
temp Indo-Pacific (27.85,27.95] -0.1091276 -0.5444332 0.3568785
temp Indo-Pacific (27.95,28.05] -0.2947261 -0.7049106 0.1707130
temp Indo-Pacific (28.05,28.1] -0.1627282 -0.5783420 0.2946967
temp Indo-Pacific (28.1, Inf] 0.2212210 0.0706507 0.3660916
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_0.7.5      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