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1 Required data

Required are:

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

  • property-property plots and
  • calculated correlation coeffcients.

2.1 Correlation plots

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

GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          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: Atlantic | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Atlantic"))))

Version Author Date
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          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: Indo-Pacific | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Indo-Pacific") )))

Version Author Date
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30

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

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]
    
    # print(i_basin)
    # print(i_era)
    
    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]
      # print(i_gamma_slab)
      
      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(
            "cstar",
            "sal",
            "tem",
            "aou",
            "oxygen",
            "silicate",
            "phosphate",
            "phosphate_star"
          ),
          ggplot2::aes(
            col = gamma_highlight,
            fill = gamma_highlight,
            alpha = 0.01
          )
        ) +
        scale_fill_manual(values = c("red", "grey")) +
        scale_color_manual(values = c("red", "grey")) +
        labs(
          title = paste(
            i_era,
            "|",
            i_basin,
            "| Gamma slab",
            i_gamma_slab,
            "| # obs total",
            nrow(GLODAP_basin_era),
            "| # obs slab",
            nrow(GLODAP_highlight %>%
                   filter(gamma_highlight == "in"))
          )
        )
      
      png(
        filename = paste(
          path_version_figures,
          "Observations_correlation/",
          paste(
            "Predictor_correlation",
            i_era,
            i_basin,
            i_gamma_slab,
            ".png",
            sep = "_"
          ),
          sep = ""),
        width = 12,
        height = 12,
        units = "in",
        res = 300
      )
      
      print(p)
      
      dev.off()
      
    }
  }
}

}

2.2 Correlation assesment

2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated indivdually 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]
print(i_basin)
print(i_era)

GLODAP_basin_era <- GLODAP %>% 
  filter(basin == i_basin,
         era == i_era) %>% 
  select(basin,
         era,
         gamma_slab,
         cstar,
         sal,
         tem,
         aou,
         oxygen,
         silicate,
         phosphate,
         phosphate_star)

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)

  cor_cstar_predictor_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    focus(cstar) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
  if (exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- bind_rows(cor_cstar_predictor, cor_cstar_predictor_temp)
      }
      
    if (!exists("cor_cstar_predictor")) {
        cor_cstar_predictor <- cor_cstar_predictor_temp
    }
  
  
  cor_predictors_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    shave %>% 
    stretch() %>% 
    filter(!is.na(r),
           x != "cstar",
           y != "cstar") %>% 
    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_cstar_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).

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()

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
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
pair basin gamma_slab mean_r min_r max_r
aou + oxygen Atlantic (-Inf,26] -0.9562636 -0.9646157 -0.9479115
aou + oxygen Atlantic (26,26.5] -0.8950828 -0.8996117 -0.8905538
aou + oxygen Atlantic (26.5,26.75] -0.9491667 -0.9530680 -0.9452654
aou + oxygen Atlantic (26.75,27] -0.9758694 -0.9776791 -0.9740598
aou + oxygen Atlantic (27,27.25] -0.9694926 -0.9770330 -0.9619522
aou + oxygen Atlantic (27.25,27.5] -0.9336761 -0.9433909 -0.9239614
aou + oxygen Atlantic (27.5,27.75] -0.9205075 -0.9311097 -0.9099054
aou + oxygen Atlantic (27.75,27.85] -0.9729033 -0.9763835 -0.9694231
aou + oxygen Atlantic (27.85,27.95] -0.9880014 -0.9909683 -0.9850344
aou + oxygen Atlantic (27.95,28.05] -0.9871452 -0.9938506 -0.9804398
aou + oxygen Atlantic (28.05,28.1] -0.9870482 -0.9945925 -0.9795039
aou + oxygen Atlantic (28.1,28.15] -0.9936793 -0.9959872 -0.9913714
aou + oxygen Atlantic (28.15,28.2] -0.9980371 -0.9986388 -0.9974354
aou + oxygen Atlantic (28.2, Inf] -0.9870714 -0.9879248 -0.9862180
aou + oxygen Indo-Pacific (-Inf,26] -0.9001217 -0.9045825 -0.8956610
aou + oxygen Indo-Pacific (26,26.5] -0.9804682 -0.9849414 -0.9759950
aou + oxygen Indo-Pacific (26.5,26.75] -0.9852389 -0.9863340 -0.9841437
aou + oxygen Indo-Pacific (26.75,27] -0.9832646 -0.9846942 -0.9818351
aou + oxygen Indo-Pacific (27,27.25] -0.9927694 -0.9929488 -0.9925900
aou + oxygen Indo-Pacific (27.25,27.5] -0.9950142 -0.9952556 -0.9947727
aou + oxygen Indo-Pacific (27.5,27.75] -0.9935964 -0.9941369 -0.9930559
aou + oxygen Indo-Pacific (27.75,27.85] -0.9979105 -0.9988912 -0.9969297
aou + oxygen Indo-Pacific (27.85,27.95] -0.9975123 -0.9988038 -0.9962209
aou + oxygen Indo-Pacific (27.95,28.05] -0.9957027 -0.9963134 -0.9950920
aou + oxygen Indo-Pacific (28.05,28.1] -0.9949023 -0.9960498 -0.9937547
aou + oxygen Indo-Pacific (28.1, Inf] -0.9924956 -0.9925810 -0.9924102
aou + phosphate Atlantic (-Inf,26] 0.3933351 0.2598012 0.5268689
aou + phosphate Atlantic (26,26.5] 0.6268104 0.5942105 0.6594104
aou + phosphate Atlantic (26.5,26.75] 0.8390340 0.8222842 0.8557838
aou + phosphate Atlantic (26.75,27] 0.8495116 0.8306437 0.8683795
aou + phosphate Atlantic (27,27.25] 0.8140836 0.7905432 0.8376240
aou + phosphate Atlantic (27.25,27.5] 0.6888778 0.6554062 0.7223493
aou + phosphate Atlantic (27.5,27.75] 0.8373642 0.8359335 0.8387948
aou + phosphate Atlantic (27.75,27.85] 0.9350798 0.9144532 0.9557065
aou + phosphate Atlantic (27.85,27.95] 0.9507980 0.9349079 0.9666880
aou + phosphate Atlantic (27.95,28.05] 0.9636168 0.9390374 0.9881961
aou + phosphate Atlantic (28.05,28.1] 0.9627641 0.9446326 0.9808955
aou + phosphate Atlantic (28.1,28.15] 0.9807169 0.9758521 0.9855818
aou + phosphate Atlantic (28.15,28.2] 0.9913394 0.9883151 0.9943636
aou + phosphate Atlantic (28.2, Inf] 0.9109701 0.8873027 0.9346374
aou + phosphate Indo-Pacific (-Inf,26] 0.9256525 0.9051675 0.9461375
aou + phosphate Indo-Pacific (26,26.5] 0.9524370 0.9523193 0.9525548
aou + phosphate Indo-Pacific (26.5,26.75] 0.9472548 0.9381518 0.9563578
aou + phosphate Indo-Pacific (26.75,27] 0.9479546 0.9472889 0.9486203
aou + phosphate Indo-Pacific (27,27.25] 0.9743316 0.9703912 0.9782721
aou + phosphate Indo-Pacific (27.25,27.5] 0.9733974 0.9685255 0.9782693
aou + phosphate Indo-Pacific (27.5,27.75] 0.9581785 0.9517313 0.9646258
aou + phosphate Indo-Pacific (27.75,27.85] 0.9859566 0.9836904 0.9882228
aou + phosphate Indo-Pacific (27.85,27.95] 0.9834630 0.9782708 0.9886553
aou + phosphate Indo-Pacific (27.95,28.05] 0.9704559 0.9654939 0.9754179
aou + phosphate Indo-Pacific (28.05,28.1] 0.9571006 0.9474436 0.9667576
aou + phosphate Indo-Pacific (28.1, Inf] 0.8017430 0.7728411 0.8306449
aou + phosphate_star Atlantic (-Inf,26] -0.4320662 -0.4766688 -0.3874635
aou + phosphate_star Atlantic (26,26.5] 0.1544033 0.1108773 0.1979292
aou + phosphate_star Atlantic (26.5,26.75] 0.4159678 0.3419100 0.4900256
aou + phosphate_star Atlantic (26.75,27] 0.2608906 0.2294787 0.2923025
aou + phosphate_star Atlantic (27,27.25] 0.2591324 0.2353884 0.2828764
aou + phosphate_star Atlantic (27.25,27.5] 0.1824299 0.0643173 0.3005425
aou + phosphate_star Atlantic (27.5,27.75] 0.5307992 0.5258515 0.5357469
aou + phosphate_star Atlantic (27.75,27.85] 0.7124934 0.6284209 0.7965659
aou + phosphate_star Atlantic (27.85,27.95] 0.7245427 0.6601471 0.7889382
aou + phosphate_star Atlantic (27.95,28.05] 0.8510675 0.7572656 0.9448695
aou + phosphate_star Atlantic (28.05,28.1] 0.8696108 0.8094111 0.9298104
aou + phosphate_star Atlantic (28.1,28.15] 0.9274572 0.9108478 0.9440666
aou + phosphate_star Atlantic (28.15,28.2] 0.9708976 0.9580692 0.9837259
aou + phosphate_star Atlantic (28.2, Inf] 0.7470404 0.6979199 0.7961608
aou + phosphate_star Indo-Pacific (-Inf,26] 0.6219236 0.5219806 0.7218666
aou + phosphate_star Indo-Pacific (26,26.5] 0.5750255 0.5142374 0.6358136
aou + phosphate_star Indo-Pacific (26.5,26.75] 0.3664205 0.1240656 0.6087755
aou + phosphate_star Indo-Pacific (26.75,27] 0.3944725 0.3101375 0.4788076
aou + phosphate_star Indo-Pacific (27,27.25] 0.1834089 0.1561861 0.2106318
aou + phosphate_star Indo-Pacific (27.25,27.5] -0.3676232 -0.3835422 -0.3517041
aou + phosphate_star Indo-Pacific (27.5,27.75] -0.2003365 -0.4820211 0.0813482
aou + phosphate_star Indo-Pacific (27.75,27.85] -0.5397084 -0.6251270 -0.4542898
aou + phosphate_star Indo-Pacific (27.85,27.95] -0.1467850 -0.1653131 -0.1282569
aou + phosphate_star Indo-Pacific (27.95,28.05] 0.1458046 0.1194875 0.1721216
aou + phosphate_star Indo-Pacific (28.05,28.1] 0.2862098 0.2370977 0.3353219
aou + phosphate_star Indo-Pacific (28.1, Inf] -0.6728177 -0.6950962 -0.6505392
aou + silicate Atlantic (-Inf,26] 0.0544106 -0.0090087 0.1178299
aou + silicate Atlantic (26,26.5] 0.5916339 0.5461911 0.6370768
aou + silicate Atlantic (26.5,26.75] 0.8730930 0.8546425 0.8915436
aou + silicate Atlantic (26.75,27] 0.8565175 0.8275067 0.8855282
aou + silicate Atlantic (27,27.25] 0.7817376 0.7707268 0.7927485
aou + silicate Atlantic (27.25,27.5] 0.4918259 0.4129790 0.5706727
aou + silicate Atlantic (27.5,27.75] 0.6508222 0.6056700 0.6959744
aou + silicate Atlantic (27.75,27.85] 0.8582316 0.8454549 0.8710083
aou + silicate Atlantic (27.85,27.95] 0.9004833 0.8812630 0.9197035
aou + silicate Atlantic (27.95,28.05] 0.9494523 0.9266040 0.9723006
aou + silicate Atlantic (28.05,28.1] 0.9669774 0.9548440 0.9791108
aou + silicate Atlantic (28.1,28.15] 0.9782258 0.9775149 0.9789368
aou + silicate Atlantic (28.15,28.2] 0.9905714 0.9878731 0.9932697
aou + silicate Atlantic (28.2, Inf] 0.8999428 0.8885313 0.9113543
aou + silicate Indo-Pacific (-Inf,26] 0.7069554 0.6715288 0.7423819
aou + silicate Indo-Pacific (26,26.5] 0.6141936 0.5352184 0.6931687
aou + silicate Indo-Pacific (26.5,26.75] 0.5569785 0.4046609 0.7092961
aou + silicate Indo-Pacific (26.75,27] 0.7287574 0.6766286 0.7808862
aou + silicate Indo-Pacific (27,27.25] 0.8901514 0.8736172 0.9066857
aou + silicate Indo-Pacific (27.25,27.5] 0.9207607 0.9064020 0.9351194
aou + silicate Indo-Pacific (27.5,27.75] 0.9442351 0.9419347 0.9465355
aou + silicate Indo-Pacific (27.75,27.85] 0.9738857 0.9715156 0.9762559
aou + silicate Indo-Pacific (27.85,27.95] 0.9676657 0.9650767 0.9702546
aou + silicate Indo-Pacific (27.95,28.05] 0.9512889 0.9493182 0.9532596
aou + silicate Indo-Pacific (28.05,28.1] 0.9468624 0.9458041 0.9479207
aou + silicate Indo-Pacific (28.1, Inf] 0.6854491 0.6775231 0.6933751
oxygen + phosphate Atlantic (-Inf,26] -0.1886210 -0.2940952 -0.0831468
oxygen + phosphate Atlantic (26,26.5] -0.2331847 -0.2892036 -0.1771658
oxygen + phosphate Atlantic (26.5,26.75] -0.6293360 -0.6431824 -0.6154897
oxygen + phosphate Atlantic (26.75,27] -0.7161014 -0.7467754 -0.6854274
oxygen + phosphate Atlantic (27,27.25] -0.6505345 -0.7044385 -0.5966304
oxygen + phosphate Atlantic (27.25,27.5] -0.3914053 -0.4102116 -0.3725990
oxygen + phosphate Atlantic (27.5,27.75] -0.5772583 -0.5975325 -0.5569841
oxygen + phosphate Atlantic (27.75,27.85] -0.8370077 -0.8759032 -0.7981122
oxygen + phosphate Atlantic (27.85,27.95] -0.8998155 -0.9300009 -0.8696301
oxygen + phosphate Atlantic (27.95,28.05] -0.9203623 -0.9747162 -0.8660084
oxygen + phosphate Atlantic (28.05,28.1] -0.9175057 -0.9662375 -0.8687739
oxygen + phosphate Atlantic (28.1,28.15] -0.9582528 -0.9725208 -0.9439849
oxygen + phosphate Atlantic (28.15,28.2] -0.9860078 -0.9933805 -0.9786351
oxygen + phosphate Atlantic (28.2, Inf] -0.8515068 -0.8802367 -0.8227770
oxygen + phosphate Indo-Pacific (-Inf,26] -0.7243605 -0.7589095 -0.6898116
oxygen + phosphate Indo-Pacific (26,26.5] -0.8810911 -0.8922338 -0.8699484
oxygen + phosphate Indo-Pacific (26.5,26.75] -0.8836485 -0.8943464 -0.8729506
oxygen + phosphate Indo-Pacific (26.75,27] -0.8786906 -0.8831549 -0.8742263
oxygen + phosphate Indo-Pacific (27,27.25] -0.9461797 -0.9529244 -0.9394349
oxygen + phosphate Indo-Pacific (27.25,27.5] -0.9613409 -0.9624998 -0.9601820
oxygen + phosphate Indo-Pacific (27.5,27.75] -0.9679570 -0.9716418 -0.9642721
oxygen + phosphate Indo-Pacific (27.75,27.85] -0.9825251 -0.9883190 -0.9767311
oxygen + phosphate Indo-Pacific (27.85,27.95] -0.9760373 -0.9865606 -0.9655140
oxygen + phosphate Indo-Pacific (27.95,28.05] -0.9501710 -0.9575099 -0.9428322
oxygen + phosphate Indo-Pacific (28.05,28.1] -0.9281545 -0.9442426 -0.9120663
oxygen + phosphate Indo-Pacific (28.1, Inf] -0.7324766 -0.7626724 -0.7022808
oxygen + phosphate_star Atlantic (-Inf,26] 0.6304907 0.6229632 0.6380183
oxygen + phosphate_star Atlantic (26,26.5] 0.2871212 0.2310421 0.3432002
oxygen + phosphate_star Atlantic (26.5,26.75] -0.1135230 -0.1817345 -0.0453116
oxygen + phosphate_star Atlantic (26.75,27] -0.0464562 -0.0871329 -0.0057795
oxygen + phosphate_star Atlantic (27,27.25] -0.0195502 -0.0256035 -0.0134969
oxygen + phosphate_star Atlantic (27.25,27.5] 0.1736217 0.0808339 0.2664095
oxygen + phosphate_star Atlantic (27.5,27.75] -0.1762121 -0.1936367 -0.1587874
oxygen + phosphate_star Atlantic (27.75,27.85] -0.5426754 -0.6545697 -0.4307810
oxygen + phosphate_star Atlantic (27.85,27.95] -0.6214402 -0.7088120 -0.5340684
oxygen + phosphate_star Atlantic (27.95,28.05] -0.7726254 -0.9154199 -0.6298309
oxygen + phosphate_star Atlantic (28.05,28.1] -0.7935298 -0.9012459 -0.6858138
oxygen + phosphate_star Atlantic (28.1,28.15] -0.8872313 -0.9190337 -0.8554289
oxygen + phosphate_star Atlantic (28.15,28.2] -0.9607168 -0.9811307 -0.9403029
oxygen + phosphate_star Atlantic (28.2, Inf] -0.6535532 -0.7067042 -0.6004022
oxygen + phosphate_star Indo-Pacific (-Inf,26] -0.2684794 -0.3926356 -0.1443233
oxygen + phosphate_star Indo-Pacific (26,26.5] -0.4144941 -0.4610883 -0.3679000
oxygen + phosphate_star Indo-Pacific (26.5,26.75] -0.2154935 -0.4654153 0.0344284
oxygen + phosphate_star Indo-Pacific (26.75,27] -0.2277046 -0.3245090 -0.1309002
oxygen + phosphate_star Indo-Pacific (27,27.25] -0.0760518 -0.1051161 -0.0469875
oxygen + phosphate_star Indo-Pacific (27.25,27.5] 0.4251027 0.3976686 0.4525368
oxygen + phosphate_star Indo-Pacific (27.5,27.75] 0.1835572 -0.1374432 0.5045576
oxygen + phosphate_star Indo-Pacific (27.75,27.85] 0.5635214 0.4961271 0.6309156
oxygen + phosphate_star Indo-Pacific (27.85,27.95] 0.1878943 0.1482551 0.2275335
oxygen + phosphate_star Indo-Pacific (27.95,28.05] -0.0682112 -0.0910252 -0.0453973
oxygen + phosphate_star Indo-Pacific (28.05,28.1] -0.1990639 -0.2593631 -0.1387647
oxygen + phosphate_star Indo-Pacific (28.1, Inf] 0.7512212 0.7333725 0.7690700
oxygen + silicate Atlantic (-Inf,26] 0.1748733 0.1545640 0.1951826
oxygen + silicate Atlantic (26,26.5] -0.2304320 -0.2889408 -0.1719233
oxygen + silicate Atlantic (26.5,26.75] -0.6998309 -0.7149950 -0.6846669
oxygen + silicate Atlantic (26.75,27] -0.7500549 -0.7871608 -0.7129491
oxygen + silicate Atlantic (27,27.25] -0.6239117 -0.6604537 -0.5873698
oxygen + silicate Atlantic (27.25,27.5] -0.1771017 -0.2415152 -0.1126882
oxygen + silicate Atlantic (27.5,27.75] -0.3592378 -0.4003279 -0.3181477
oxygen + silicate Atlantic (27.75,27.85] -0.7413829 -0.7670557 -0.7157101
oxygen + silicate Atlantic (27.85,27.95] -0.8327778 -0.8673323 -0.7982233
oxygen + silicate Atlantic (27.95,28.05] -0.8939688 -0.9455114 -0.8424262
oxygen + silicate Atlantic (28.05,28.1] -0.9196314 -0.9574582 -0.8818046
oxygen + silicate Atlantic (28.1,28.15] -0.9538384 -0.9604023 -0.9472745
oxygen + silicate Atlantic (28.15,28.2] -0.9863892 -0.9905291 -0.9822493
oxygen + silicate Atlantic (28.2, Inf] -0.8377072 -0.8481205 -0.8272940
oxygen + silicate Indo-Pacific (-Inf,26] -0.4223228 -0.4652411 -0.3794046
oxygen + silicate Indo-Pacific (26,26.5] -0.4919695 -0.5674939 -0.4164450
oxygen + silicate Indo-Pacific (26.5,26.75] -0.4346566 -0.5948537 -0.2744596
oxygen + silicate Indo-Pacific (26.75,27] -0.6110833 -0.6794481 -0.5427185
oxygen + silicate Indo-Pacific (27,27.25] -0.8391382 -0.8594288 -0.8188475
oxygen + silicate Indo-Pacific (27.25,27.5] -0.8863228 -0.9044381 -0.8682076
oxygen + silicate Indo-Pacific (27.5,27.75] -0.9150234 -0.9176503 -0.9123964
oxygen + silicate Indo-Pacific (27.75,27.85] -0.9651981 -0.9721195 -0.9582767
oxygen + silicate Indo-Pacific (27.85,27.95] -0.9556507 -0.9637262 -0.9475751
oxygen + silicate Indo-Pacific (27.95,28.05] -0.9277308 -0.9316663 -0.9237953
oxygen + silicate Indo-Pacific (28.05,28.1] -0.9198129 -0.9225804 -0.9170454
oxygen + silicate Indo-Pacific (28.1, Inf] -0.6127320 -0.6247292 -0.6007349
phosphate + phosphate_star Atlantic (-Inf,26] 0.6393761 0.5644465 0.7143057
phosphate + phosphate_star Atlantic (26,26.5] 0.8640750 0.8636008 0.8645493
phosphate + phosphate_star Atlantic (26.5,26.75] 0.8425374 0.8152243 0.8698505
phosphate + phosphate_star Atlantic (26.75,27] 0.7298529 0.7276156 0.7320902
phosphate + phosphate_star Atlantic (27,27.25] 0.7690321 0.7275684 0.8104957
phosphate + phosphate_star Atlantic (27.25,27.5] 0.8355189 0.7951908 0.8758469
phosphate + phosphate_star Atlantic (27.5,27.75] 0.9054004 0.9023726 0.9084282
phosphate + phosphate_star Atlantic (27.75,27.85] 0.9128251 0.8875496 0.9381006
phosphate + phosphate_star Atlantic (27.85,27.95] 0.9001547 0.8818395 0.9184698
phosphate + phosphate_star Atlantic (27.95,28.05] 0.9580198 0.9338278 0.9822119
phosphate + phosphate_star Atlantic (28.05,28.1] 0.9693398 0.9562188 0.9824607
phosphate + phosphate_star Atlantic (28.1,28.15] 0.9819852 0.9784198 0.9855506
phosphate + phosphate_star Atlantic (28.15,28.2] 0.9935172 0.9901887 0.9968458
phosphate + phosphate_star Atlantic (28.2, Inf] 0.9531609 0.9485170 0.9578048
phosphate + phosphate_star Indo-Pacific (-Inf,26] 0.8564206 0.8159650 0.8968761
phosphate + phosphate_star Indo-Pacific (26,26.5] 0.7934355 0.7481556 0.8387153
phosphate + phosphate_star Indo-Pacific (26.5,26.75] 0.6348380 0.4574651 0.8122109
phosphate + phosphate_star Indo-Pacific (26.75,27] 0.6630326 0.5957774 0.7302877
phosphate + phosphate_star Indo-Pacific (27,27.25] 0.3940932 0.3864904 0.4016960
phosphate + phosphate_star Indo-Pacific (27.25,27.5] -0.1595755 -0.1936516 -0.1254993
phosphate + phosphate_star Indo-Pacific (27.5,27.75] 0.0549745 -0.2578102 0.3677591
phosphate + phosphate_star Indo-Pacific (27.75,27.85] -0.4018392 -0.5053069 -0.2983715
phosphate + phosphate_star Indo-Pacific (27.85,27.95] 0.0245815 0.0153277 0.0338354
phosphate + phosphate_star Indo-Pacific (27.95,28.05] 0.3746386 0.3315715 0.4177057
phosphate + phosphate_star Indo-Pacific (28.05,28.1] 0.5477618 0.5326384 0.5628851
phosphate + phosphate_star Indo-Pacific (28.1, Inf] -0.1023514 -0.1196211 -0.0850818
sal + aou Atlantic (-Inf,26] 0.3693643 0.2795003 0.4592283
sal + aou Atlantic (26,26.5] -0.0218919 -0.0422790 -0.0015048
sal + aou Atlantic (26.5,26.75] -0.3064282 -0.3827827 -0.2300737
sal + aou Atlantic (26.75,27] -0.2149017 -0.2511184 -0.1786851
sal + aou Atlantic (27,27.25] -0.2664777 -0.3021726 -0.2307827
sal + aou Atlantic (27.25,27.5] -0.1732965 -0.2858132 -0.0607797
sal + aou Atlantic (27.5,27.75] -0.3958290 -0.4295185 -0.3621395
sal + aou Atlantic (27.75,27.85] -0.4492365 -0.5621345 -0.3363385
sal + aou Atlantic (27.85,27.95] -0.3983672 -0.4847729 -0.3119615
sal + aou Atlantic (27.95,28.05] -0.6789499 -0.8072390 -0.5506609
sal + aou Atlantic (28.05,28.1] -0.7461637 -0.8377308 -0.6545965
sal + aou Atlantic (28.1,28.15] -0.8486021 -0.8827853 -0.8144190
sal + aou Atlantic (28.15,28.2] -0.9465139 -0.9783320 -0.9146957
sal + aou Atlantic (28.2, Inf] -0.7814067 -0.8340082 -0.7288052
sal + aou Indo-Pacific (-Inf,26] -0.0934763 -0.1426518 -0.0443007
sal + aou Indo-Pacific (26,26.5] -0.0514054 -0.2557134 0.1529026
sal + aou Indo-Pacific (26.5,26.75] -0.0384262 -0.3892100 0.3123576
sal + aou Indo-Pacific (26.75,27] -0.2232409 -0.3417994 -0.1046824
sal + aou Indo-Pacific (27,27.25] -0.1672887 -0.1729082 -0.1616693
sal + aou Indo-Pacific (27.25,27.5] 0.0731438 0.0682125 0.0780752
sal + aou Indo-Pacific (27.5,27.75] 0.3079342 0.1116103 0.5042582
sal + aou Indo-Pacific (27.75,27.85] -0.2743524 -0.3865775 -0.1621273
sal + aou Indo-Pacific (27.85,27.95] -0.4413007 -0.6495002 -0.2331011
sal + aou Indo-Pacific (27.95,28.05] -0.3814512 -0.4535282 -0.3093742
sal + aou Indo-Pacific (28.05,28.1] -0.3743418 -0.5158947 -0.2327888
sal + aou Indo-Pacific (28.1, Inf] 0.4112835 0.3204399 0.5021270
sal + oxygen Atlantic (-Inf,26] -0.6146627 -0.6710600 -0.5582653
sal + oxygen Atlantic (26,26.5] -0.4137823 -0.4436869 -0.3838777
sal + oxygen Atlantic (26.5,26.75] -0.0042470 -0.0720071 0.0635131
sal + oxygen Atlantic (26.75,27] 0.0008333 -0.0446297 0.0462963
sal + oxygen Atlantic (27,27.25] 0.0285085 0.0222843 0.0347327
sal + oxygen Atlantic (27.25,27.5] -0.1784798 -0.2637031 -0.0932564
sal + oxygen Atlantic (27.5,27.75] 0.0211232 -0.0431416 0.0853881
sal + oxygen Atlantic (27.75,27.85] 0.2390012 0.1018599 0.3761426
sal + oxygen Atlantic (27.85,27.95] 0.2637972 0.1561087 0.3714856
sal + oxygen Atlantic (27.95,28.05] 0.5729075 0.3938037 0.7520113
sal + oxygen Atlantic (28.05,28.1] 0.6408742 0.4957007 0.7860478
sal + oxygen Atlantic (28.1,28.15] 0.7866895 0.7337921 0.8395869
sal + oxygen Atlantic (28.15,28.2] 0.9268951 0.8860416 0.9677485
sal + oxygen Atlantic (28.2, Inf] 0.6926146 0.6391190 0.7461102
sal + oxygen Indo-Pacific (-Inf,26] -0.2565159 -0.3091687 -0.2038632
sal + oxygen Indo-Pacific (26,26.5] -0.1265180 -0.3033136 0.0502776
sal + oxygen Indo-Pacific (26.5,26.75] -0.1176491 -0.4582957 0.2229975
sal + oxygen Indo-Pacific (26.75,27] 0.0481791 -0.0804811 0.1768392
sal + oxygen Indo-Pacific (27,27.25] 0.0542351 0.0494765 0.0589938
sal + oxygen Indo-Pacific (27.25,27.5] -0.1572017 -0.1613806 -0.1530227
sal + oxygen Indo-Pacific (27.5,27.75] -0.3909616 -0.5870984 -0.1948248
sal + oxygen Indo-Pacific (27.75,27.85] 0.2265453 0.0954184 0.3576722
sal + oxygen Indo-Pacific (27.85,27.95] 0.3968986 0.1620065 0.6317906
sal + oxygen Indo-Pacific (27.95,28.05] 0.3112651 0.2294729 0.3930573
sal + oxygen Indo-Pacific (28.05,28.1] 0.2894353 0.1302665 0.4486041
sal + oxygen Indo-Pacific (28.1, Inf] -0.4937780 -0.5757684 -0.4117876
sal + phosphate Atlantic (-Inf,26] -0.5236671 -0.5448708 -0.5024634
sal + phosphate Atlantic (26,26.5] -0.7633406 -0.7769733 -0.7497080
sal + phosphate Atlantic (26.5,26.75] -0.7614350 -0.7946455 -0.7282245
sal + phosphate Atlantic (26.75,27] -0.6873031 -0.6889590 -0.6856471
sal + phosphate Atlantic (27,27.25] -0.7617831 -0.8103217 -0.7132445
sal + phosphate Atlantic (27.25,27.5] -0.8111151 -0.8482212 -0.7740089
sal + phosphate Atlantic (27.5,27.75] -0.7833336 -0.8103272 -0.7563399
sal + phosphate Atlantic (27.75,27.85] -0.6913924 -0.7485702 -0.6342146
sal + phosphate Atlantic (27.85,27.95] -0.6174338 -0.6600396 -0.5748280
sal + phosphate Atlantic (27.95,28.05] -0.8068729 -0.8519592 -0.7617866
sal + phosphate Atlantic (28.05,28.1] -0.8611658 -0.8903067 -0.8320250
sal + phosphate Atlantic (28.1,28.15] -0.9106473 -0.9200528 -0.9012418
sal + phosphate Atlantic (28.15,28.2] -0.9617959 -0.9719403 -0.9516515
sal + phosphate Atlantic (28.2, Inf] -0.9574906 -0.9616896 -0.9532915
sal + phosphate Indo-Pacific (-Inf,26] -0.2293269 -0.2608216 -0.1978321
sal + phosphate Indo-Pacific (26,26.5] -0.2852155 -0.4908944 -0.0795366
sal + phosphate Indo-Pacific (26.5,26.75] -0.2985694 -0.6069448 0.0098061
sal + phosphate Indo-Pacific (26.75,27] -0.4805494 -0.5877399 -0.3733590
sal + phosphate Indo-Pacific (27,27.25] -0.3156382 -0.3360172 -0.2952592
sal + phosphate Indo-Pacific (27.25,27.5] 0.0310431 -0.0064194 0.0685055
sal + phosphate Indo-Pacific (27.5,27.75] 0.4158773 0.1475446 0.6842100
sal + phosphate Indo-Pacific (27.75,27.85] -0.2885927 -0.3651241 -0.2120614
sal + phosphate Indo-Pacific (27.85,27.95] -0.4965953 -0.6596835 -0.3335071
sal + phosphate Indo-Pacific (27.95,28.05] -0.5366539 -0.5931385 -0.4801692
sal + phosphate Indo-Pacific (28.05,28.1] -0.5749891 -0.6725477 -0.4774304
sal + phosphate Indo-Pacific (28.1, Inf] -0.0976443 -0.1833870 -0.0119016
sal + phosphate_star Atlantic (-Inf,26] -0.8938077 -0.9281011 -0.8595142
sal + phosphate_star Atlantic (26,26.5] -0.9661587 -0.9688036 -0.9635139
sal + phosphate_star Atlantic (26.5,26.75] -0.9777605 -0.9795848 -0.9759362
sal + phosphate_star Atlantic (26.75,27] -0.9837979 -0.9842180 -0.9833779
sal + phosphate_star Atlantic (27,27.25] -0.9836586 -0.9842836 -0.9830336
sal + phosphate_star Atlantic (27.25,27.5] -0.9763060 -0.9763810 -0.9762310
sal + phosphate_star Atlantic (27.5,27.75] -0.9331998 -0.9455595 -0.9208401
sal + phosphate_star Atlantic (27.75,27.85] -0.8874803 -0.9029021 -0.8720585
sal + phosphate_star Atlantic (27.85,27.95] -0.8511276 -0.8669967 -0.8352584
sal + phosphate_star Atlantic (27.95,28.05] -0.9021526 -0.9026949 -0.9016104
sal + phosphate_star Atlantic (28.05,28.1] -0.9291112 -0.9298309 -0.9283916
sal + phosphate_star Atlantic (28.1,28.15] -0.9509698 -0.9550331 -0.9469065
sal + phosphate_star Atlantic (28.15,28.2] -0.9702064 -0.9730872 -0.9673256
sal + phosphate_star Atlantic (28.2, Inf] -0.9835335 -0.9851425 -0.9819244
sal + phosphate_star Indo-Pacific (-Inf,26] -0.5120423 -0.5172617 -0.5068228
sal + phosphate_star Indo-Pacific (26,26.5] -0.7186215 -0.8277880 -0.6094551
sal + phosphate_star Indo-Pacific (26.5,26.75] -0.8626714 -0.9100048 -0.8153380
sal + phosphate_star Indo-Pacific (26.75,27] -0.9115605 -0.9276152 -0.8955058
sal + phosphate_star Indo-Pacific (27,27.25] -0.8182034 -0.8461954 -0.7902114
sal + phosphate_star Indo-Pacific (27.25,27.5] -0.4615676 -0.6047209 -0.3184144
sal + phosphate_star Indo-Pacific (27.5,27.75] 0.1637625 -0.2297056 0.5572306
sal + phosphate_star Indo-Pacific (27.75,27.85] -0.1337060 -0.4338666 0.1664546
sal + phosphate_star Indo-Pacific (27.85,27.95] -0.3760148 -0.6254841 -0.1265455
sal + phosphate_star Indo-Pacific (27.95,28.05] -0.7889707 -0.8092016 -0.7687398
sal + phosphate_star Indo-Pacific (28.05,28.1] -0.8654057 -0.8842036 -0.8466079
sal + phosphate_star Indo-Pacific (28.1, Inf] -0.8206913 -0.8248526 -0.8165300
sal + silicate Atlantic (-Inf,26] -0.7598150 -0.8052417 -0.7143883
sal + silicate Atlantic (26,26.5] -0.7092454 -0.7133476 -0.7051432
sal + silicate Atlantic (26.5,26.75] -0.6524605 -0.6932485 -0.6116724
sal + silicate Atlantic (26.75,27] -0.5521336 -0.5691010 -0.5351661
sal + silicate Atlantic (27,27.25] -0.7194652 -0.7564919 -0.6824386
sal + silicate Atlantic (27.25,27.5] -0.8128031 -0.8291471 -0.7964592
sal + silicate Atlantic (27.5,27.75] -0.7544416 -0.7969555 -0.7119278
sal + silicate Atlantic (27.75,27.85] -0.7041189 -0.7682862 -0.6399515
sal + silicate Atlantic (27.85,27.95] -0.6797808 -0.7212582 -0.6383034
sal + silicate Atlantic (27.95,28.05] -0.8338284 -0.8855163 -0.7821404
sal + silicate Atlantic (28.05,28.1] -0.8667160 -0.9106302 -0.8228018
sal + silicate Atlantic (28.1,28.15] -0.9167822 -0.9403854 -0.8931789
sal + silicate Atlantic (28.15,28.2] -0.9511001 -0.9767958 -0.9254045
sal + silicate Atlantic (28.2, Inf] -0.9489225 -0.9766172 -0.9212278
sal + silicate Indo-Pacific (-Inf,26] -0.5635099 -0.5749573 -0.5520625
sal + silicate Indo-Pacific (26,26.5] -0.5899696 -0.6466330 -0.5333062
sal + silicate Indo-Pacific (26.5,26.75] -0.7007190 -0.7957684 -0.6056696
sal + silicate Indo-Pacific (26.75,27] -0.7326728 -0.7448135 -0.7205322
sal + silicate Indo-Pacific (27,27.25] -0.5140095 -0.5406371 -0.4873820
sal + silicate Indo-Pacific (27.25,27.5] -0.1752652 -0.2023926 -0.1481379
sal + silicate Indo-Pacific (27.5,27.75] 0.2035057 0.0107819 0.3962294
sal + silicate Indo-Pacific (27.75,27.85] -0.2815030 -0.3397269 -0.2232791
sal + silicate Indo-Pacific (27.85,27.95] -0.4440268 -0.5885546 -0.2994991
sal + silicate Indo-Pacific (27.95,28.05] -0.4386264 -0.4888464 -0.3884063
sal + silicate Indo-Pacific (28.05,28.1] -0.4732915 -0.5693777 -0.3772053
sal + silicate Indo-Pacific (28.1, Inf] 0.0537690 -0.0774256 0.1849637
sal + tem Atlantic (-Inf,26] 0.9616815 0.9515604 0.9718026
sal + tem Atlantic (26,26.5] 0.9666072 0.9601544 0.9730599
sal + tem Atlantic (26.5,26.75] 0.9900330 0.9893951 0.9906709
sal + tem Atlantic (26.75,27] 0.9821115 0.9809801 0.9832428
sal + tem Atlantic (27,27.25] 0.9808128 0.9794156 0.9822100
sal + tem Atlantic (27.25,27.5] 0.9750253 0.9713392 0.9787113
sal + tem Atlantic (27.5,27.75] 0.9694985 0.9652220 0.9737750
sal + tem Atlantic (27.75,27.85] 0.9806884 0.9803733 0.9810036
sal + tem Atlantic (27.85,27.95] 0.9470897 0.9432880 0.9508914
sal + tem Atlantic (27.95,28.05] 0.9165973 0.9083444 0.9248502
sal + tem Atlantic (28.05,28.1] 0.9649706 0.9595924 0.9703488
sal + tem Atlantic (28.1,28.15] 0.9572867 0.9471945 0.9673789
sal + tem Atlantic (28.15,28.2] 0.8875714 0.8853778 0.8897651
sal + tem Atlantic (28.2, Inf] 0.1467643 0.1461208 0.1474078
sal + tem Indo-Pacific (-Inf,26] 0.7420409 0.7401931 0.7438887
sal + tem Indo-Pacific (26,26.5] 0.9129021 0.8794944 0.9463097
sal + tem Indo-Pacific (26.5,26.75] 0.9753133 0.9678680 0.9827586
sal + tem Indo-Pacific (26.75,27] 0.9756157 0.9722578 0.9789737
sal + tem Indo-Pacific (27,27.25] 0.9388220 0.9327088 0.9449351
sal + tem Indo-Pacific (27.25,27.5] 0.8411400 0.8263816 0.8558985
sal + tem Indo-Pacific (27.5,27.75] 0.8295909 0.7773206 0.8818612
sal + tem Indo-Pacific (27.75,27.85] 0.7527623 0.6592203 0.8463043
sal + tem Indo-Pacific (27.85,27.95] 0.6356773 0.4758088 0.7955459
sal + tem Indo-Pacific (27.95,28.05] 0.6928087 0.6359560 0.7496613
sal + tem Indo-Pacific (28.05,28.1] 0.6901648 0.6131097 0.7672199
sal + tem Indo-Pacific (28.1, Inf] 0.6784005 0.6255894 0.7312116
silicate + phosphate Atlantic (-Inf,26] 0.7392827 0.7218927 0.7566727
silicate + phosphate Atlantic (26,26.5] 0.9303675 0.9184702 0.9422649
silicate + phosphate Atlantic (26.5,26.75] 0.9637014 0.9553218 0.9720809
silicate + phosphate Atlantic (26.75,27] 0.9367004 0.9182073 0.9551934
silicate + phosphate Atlantic (27,27.25] 0.9541172 0.9540871 0.9541474
silicate + phosphate Atlantic (27.25,27.5] 0.9060245 0.8873688 0.9246801
silicate + phosphate Atlantic (27.5,27.75] 0.9050480 0.8884142 0.9216818
silicate + phosphate Atlantic (27.75,27.85] 0.9584242 0.9552816 0.9615668
silicate + phosphate Atlantic (27.85,27.95] 0.9744157 0.9734345 0.9753968
silicate + phosphate Atlantic (27.95,28.05] 0.9829741 0.9825357 0.9834126
silicate + phosphate Atlantic (28.05,28.1] 0.9884206 0.9870520 0.9897892
silicate + phosphate Atlantic (28.1,28.15] 0.9939174 0.9930392 0.9947956
silicate + phosphate Atlantic (28.15,28.2] 0.9938536 0.9904923 0.9972149
silicate + phosphate Atlantic (28.2, Inf] 0.9881521 0.9836192 0.9926849
silicate + phosphate Indo-Pacific (-Inf,26] 0.7821588 0.7437695 0.8205482
silicate + phosphate Indo-Pacific (26,26.5] 0.7203845 0.6586584 0.7821105
silicate + phosphate Indo-Pacific (26.5,26.75] 0.7008661 0.5866121 0.8151201
silicate + phosphate Indo-Pacific (26.75,27] 0.8319051 0.7981840 0.8656262
silicate + phosphate Indo-Pacific (27,27.25] 0.9081316 0.8872851 0.9289782
silicate + phosphate Indo-Pacific (27.25,27.5] 0.8927932 0.8642960 0.9212903
silicate + phosphate Indo-Pacific (27.5,27.75] 0.8788468 0.8622101 0.8954834
silicate + phosphate Indo-Pacific (27.75,27.85] 0.9598370 0.9596486 0.9600253
silicate + phosphate Indo-Pacific (27.85,27.95] 0.9699708 0.9695519 0.9703896
silicate + phosphate Indo-Pacific (27.95,28.05] 0.9633824 0.9618933 0.9648714
silicate + phosphate Indo-Pacific (28.05,28.1] 0.9589194 0.9569164 0.9609225
silicate + phosphate Indo-Pacific (28.1, Inf] 0.8052618 0.7796959 0.8308278
silicate + phosphate_star Atlantic (-Inf,26] 0.7238307 0.6948742 0.7527872
silicate + phosphate_star Atlantic (26,26.5] 0.7972422 0.7884776 0.8060068
silicate + phosphate_star Atlantic (26.5,26.75] 0.7477461 0.7077619 0.7877303
silicate + phosphate_star Atlantic (26.75,27] 0.6064299 0.5940135 0.6188462
silicate + phosphate_star Atlantic (27,27.25] 0.7327702 0.7054164 0.7601241
silicate + phosphate_star Atlantic (27.25,27.5] 0.8654154 0.8480346 0.8827961
silicate + phosphate_star Atlantic (27.5,27.75] 0.9050898 0.8941772 0.9160023
silicate + phosphate_star Atlantic (27.75,27.85] 0.9195814 0.8929925 0.9461704
silicate + phosphate_star Atlantic (27.85,27.95] 0.9216171 0.9045502 0.9386840
silicate + phosphate_star Atlantic (27.95,28.05] 0.9502225 0.9235700 0.9768750
silicate + phosphate_star Atlantic (28.05,28.1] 0.9505659 0.9294893 0.9716425
silicate + phosphate_star Atlantic (28.1,28.15] 0.9754952 0.9654349 0.9855556
silicate + phosphate_star Atlantic (28.15,28.2] 0.9830611 0.9719943 0.9941280
silicate + phosphate_star Atlantic (28.2, Inf] 0.9446513 0.9229519 0.9663507
silicate + phosphate_star Indo-Pacific (-Inf,26] 0.7782510 0.7136137 0.8428884
silicate + phosphate_star Indo-Pacific (26,26.5] 0.7625121 0.7443803 0.7806439
silicate + phosphate_star Indo-Pacific (26.5,26.75] 0.7692458 0.7015195 0.8369720
silicate + phosphate_star Indo-Pacific (26.75,27] 0.7440303 0.7320666 0.7559940
silicate + phosphate_star Indo-Pacific (27,27.25] 0.4158788 0.3947939 0.4369637
silicate + phosphate_star Indo-Pacific (27.25,27.5] -0.2434879 -0.2445691 -0.2424067
silicate + phosphate_star Indo-Pacific (27.5,27.75] -0.2024203 -0.4283998 0.0235592
silicate + phosphate_star Indo-Pacific (27.75,27.85] -0.4985407 -0.6190049 -0.3780766
silicate + phosphate_star Indo-Pacific (27.85,27.95] -0.0176700 -0.0241560 -0.0111840
silicate + phosphate_star Indo-Pacific (27.95,28.05] 0.3250855 0.2944331 0.3557380
silicate + phosphate_star Indo-Pacific (28.05,28.1] 0.4594357 0.4279823 0.4908892
silicate + phosphate_star Indo-Pacific (28.1, Inf] -0.1115982 -0.1743361 -0.0488604
tem + aou Atlantic (-Inf,26] 0.3416220 0.2503275 0.4329165
tem + aou Atlantic (26,26.5] -0.0955014 -0.1247923 -0.0662106
tem + aou Atlantic (26.5,26.75] -0.3228076 -0.4029583 -0.2426569
tem + aou Atlantic (26.75,27] -0.2120169 -0.2538599 -0.1701738
tem + aou Atlantic (27,27.25] -0.2070073 -0.2447352 -0.1692793
tem + aou Atlantic (27.25,27.5] -0.1299034 -0.2632904 0.0034836
tem + aou Atlantic (27.5,27.75] -0.3632705 -0.3826390 -0.3439020
tem + aou Atlantic (27.75,27.85] -0.4443223 -0.5493742 -0.3392705
tem + aou Atlantic (27.85,27.95] -0.3853057 -0.4632422 -0.3073692
tem + aou Atlantic (27.95,28.05] -0.6086662 -0.7316540 -0.4856785
tem + aou Atlantic (28.05,28.1] -0.6391122 -0.7517221 -0.5265024
tem + aou Atlantic (28.1,28.15] -0.7055632 -0.7230903 -0.6880362
tem + aou Atlantic (28.15,28.2] -0.7524771 -0.7967323 -0.7082218
tem + aou Atlantic (28.2, Inf] 0.3355249 0.2914898 0.3795601
tem + aou Indo-Pacific (-Inf,26] -0.2996640 -0.4148890 -0.1844389
tem + aou Indo-Pacific (26,26.5] -0.1592316 -0.3126081 -0.0058552
tem + aou Indo-Pacific (26.5,26.75] -0.0318541 -0.3596397 0.2959315
tem + aou Indo-Pacific (26.75,27] -0.2215916 -0.3372522 -0.1059311
tem + aou Indo-Pacific (27,27.25] -0.2404907 -0.2679454 -0.2130360
tem + aou Indo-Pacific (27.25,27.5] 0.0354767 0.0143868 0.0565665
tem + aou Indo-Pacific (27.5,27.75] 0.3413944 0.1616959 0.5210929
tem + aou Indo-Pacific (27.75,27.85] -0.0786133 -0.1671156 0.0098889
tem + aou Indo-Pacific (27.85,27.95] -0.0716075 -0.2033134 0.0600984
tem + aou Indo-Pacific (27.95,28.05] 0.1388948 0.1342896 0.1435001
tem + aou Indo-Pacific (28.05,28.1] 0.2895438 0.2363012 0.3427864
tem + aou Indo-Pacific (28.1, Inf] 0.8731320 0.8700316 0.8762325
tem + oxygen Atlantic (-Inf,26] -0.6001942 -0.6550352 -0.5453531
tem + oxygen Atlantic (26,26.5] -0.3576865 -0.3946537 -0.3207194
tem + oxygen Atlantic (26.5,26.75] 0.0100525 -0.0623133 0.0824183
tem + oxygen Atlantic (26.75,27] -0.0059756 -0.0570916 0.0451403
tem + oxygen Atlantic (27,27.25] -0.0368439 -0.0444371 -0.0292507
tem + oxygen Atlantic (27.25,27.5] -0.2300017 -0.3346667 -0.1253367
tem + oxygen Atlantic (27.5,27.75] -0.0278862 -0.0757318 0.0199594
tem + oxygen Atlantic (27.75,27.85] 0.2272660 0.0984399 0.3560921
tem + oxygen Atlantic (27.85,27.95] 0.2398714 0.1391796 0.3405632
tem + oxygen Atlantic (27.95,28.05] 0.4781650 0.3044010 0.6519290
tem + oxygen Atlantic (28.05,28.1] 0.5142759 0.3459600 0.6825918
tem + oxygen Atlantic (28.1,28.15] 0.6252394 0.5888976 0.6615812
tem + oxygen Atlantic (28.15,28.2] 0.7122377 0.6582439 0.7662315
tem + oxygen Atlantic (28.2, Inf] -0.4751923 -0.5122756 -0.4381091
tem + oxygen Indo-Pacific (-Inf,26] -0.1402746 -0.2694383 -0.0111109
tem + oxygen Indo-Pacific (26,26.5] -0.0341938 -0.1669125 0.0985249
tem + oxygen Indo-Pacific (26.5,26.75] -0.1302020 -0.4490317 0.1886277
tem + oxygen Indo-Pacific (26.75,27] 0.0419554 -0.0844038 0.1683145
tem + oxygen Indo-Pacific (27,27.25] 0.1223900 0.0958136 0.1489664
tem + oxygen Indo-Pacific (27.25,27.5] -0.1348540 -0.1581699 -0.1115380
tem + oxygen Indo-Pacific (27.5,27.75] -0.4424646 -0.6177306 -0.2671985
tem + oxygen Indo-Pacific (27.75,27.85] 0.0162968 -0.0880111 0.1206048
tem + oxygen Indo-Pacific (27.85,27.95] 0.0046300 -0.1463121 0.1555721
tem + oxygen Indo-Pacific (27.95,28.05] -0.2287000 -0.2396490 -0.2177510
tem + oxygen Indo-Pacific (28.05,28.1] -0.3749511 -0.4402434 -0.3096588
tem + oxygen Indo-Pacific (28.1, Inf] -0.9218735 -0.9242289 -0.9195181
tem + phosphate Atlantic (-Inf,26] -0.4670495 -0.4782182 -0.4558807
tem + phosphate Atlantic (26,26.5] -0.7901214 -0.8097292 -0.7705136
tem + phosphate Atlantic (26.5,26.75] -0.7734011 -0.8092346 -0.7375676
tem + phosphate Atlantic (26.75,27] -0.6843450 -0.6901130 -0.6785771
tem + phosphate Atlantic (27,27.25] -0.7204276 -0.7735199 -0.6673353
tem + phosphate Atlantic (27.25,27.5] -0.7871120 -0.8372086 -0.7370154
tem + phosphate Atlantic (27.5,27.75] -0.7620799 -0.7798964 -0.7442634
tem + phosphate Atlantic (27.75,27.85] -0.6952623 -0.7452086 -0.6453160
tem + phosphate Atlantic (27.85,27.95] -0.6027689 -0.6349443 -0.5705936
tem + phosphate Atlantic (27.95,28.05] -0.7352471 -0.7703169 -0.7001773
tem + phosphate Atlantic (28.05,28.1] -0.7719549 -0.8069166 -0.7369931
tem + phosphate Atlantic (28.1,28.15] -0.7855934 -0.7948896 -0.7762971
tem + phosphate Atlantic (28.15,28.2] -0.7678820 -0.7773805 -0.7583835
tem + phosphate Atlantic (28.2, Inf] 0.0680938 0.0649505 0.0712372
tem + phosphate Indo-Pacific (-Inf,26] -0.5071231 -0.5942832 -0.4199630
tem + phosphate Indo-Pacific (26,26.5] -0.4137961 -0.5563704 -0.2712219
tem + phosphate Indo-Pacific (26.5,26.75] -0.3068244 -0.5897620 -0.0238869
tem + phosphate Indo-Pacific (26.75,27] -0.4939664 -0.5951766 -0.3927563
tem + phosphate Indo-Pacific (27,27.25] -0.4064604 -0.4067068 -0.4062139
tem + phosphate Indo-Pacific (27.25,27.5] -0.0399058 -0.1012024 0.0213908
tem + phosphate Indo-Pacific (27.5,27.75] 0.4410199 0.1969753 0.6850644
tem + phosphate Indo-Pacific (27.75,27.85] -0.0909529 -0.1417313 -0.0401745
tem + phosphate Indo-Pacific (27.85,27.95] -0.1277257 -0.2141369 -0.0413145
tem + phosphate Indo-Pacific (27.95,28.05] -0.0302208 -0.0316014 -0.0288403
tem + phosphate Indo-Pacific (28.05,28.1] 0.0747721 0.0519419 0.0976023
tem + phosphate Indo-Pacific (28.1, Inf] 0.4729268 0.4511767 0.4946770
tem + phosphate_star Atlantic (-Inf,26] -0.8373320 -0.8623978 -0.8122662
tem + phosphate_star Atlantic (26,26.5] -0.9632245 -0.9749457 -0.9515033
tem + phosphate_star Atlantic (26.5,26.75] -0.9833980 -0.9861407 -0.9806553
tem + phosphate_star Atlantic (26.75,27] -0.9862330 -0.9871388 -0.9853271
tem + phosphate_star Atlantic (27,27.25] -0.9839968 -0.9851302 -0.9828633
tem + phosphate_star Atlantic (27.25,27.5] -0.9827484 -0.9841760 -0.9813208
tem + phosphate_star Atlantic (27.5,27.75] -0.9331898 -0.9434918 -0.9228879
tem + phosphate_star Atlantic (27.75,27.85] -0.9016651 -0.9120285 -0.8913017
tem + phosphate_star Atlantic (27.85,27.95] -0.8481422 -0.8521076 -0.8441768
tem + phosphate_star Atlantic (27.95,28.05] -0.8548016 -0.8698673 -0.8397359
tem + phosphate_star Atlantic (28.05,28.1] -0.8708422 -0.8786605 -0.8630239
tem + phosphate_star Atlantic (28.1,28.15] -0.8559299 -0.8788400 -0.8330199
tem + phosphate_star Atlantic (28.15,28.2] -0.7935327 -0.8079894 -0.7790760
tem + phosphate_star Atlantic (28.2, Inf] -0.1766147 -0.1940838 -0.1591456
tem + phosphate_star Indo-Pacific (-Inf,26] -0.8180009 -0.8468615 -0.7891403
tem + phosphate_star Indo-Pacific (26,26.5] -0.8480353 -0.8923258 -0.8037449
tem + phosphate_star Indo-Pacific (26.5,26.75] -0.8941535 -0.9208273 -0.8674797
tem + phosphate_star Indo-Pacific (26.75,27] -0.9483143 -0.9550257 -0.9416029
tem + phosphate_star Indo-Pacific (27,27.25] -0.9049531 -0.9275287 -0.8823775
tem + phosphate_star Indo-Pacific (27.25,27.5] -0.6137314 -0.7360352 -0.4914276
tem + phosphate_star Indo-Pacific (27.5,27.75] 0.0538867 -0.3325683 0.4403418
tem + phosphate_star Indo-Pacific (27.75,27.85] -0.2964772 -0.5543204 -0.0386340
tem + phosphate_star Indo-Pacific (27.85,27.95] -0.5301176 -0.7161832 -0.3440520
tem + phosphate_star Indo-Pacific (27.95,28.05] -0.7799979 -0.8122156 -0.7477803
tem + phosphate_star Indo-Pacific (28.05,28.1] -0.6489726 -0.6729514 -0.6249938
tem + phosphate_star Indo-Pacific (28.1, Inf] -0.8903129 -0.8987497 -0.8818762
tem + silicate Atlantic (-Inf,26] -0.6995702 -0.7715066 -0.6276338
tem + silicate Atlantic (26,26.5] -0.7233317 -0.7241738 -0.7224895
tem + silicate Atlantic (26.5,26.75] -0.6695788 -0.7161709 -0.6229867
tem + silicate Atlantic (26.75,27] -0.5668528 -0.5876550 -0.5460506
tem + silicate Atlantic (27,27.25] -0.6988100 -0.7351064 -0.6625137
tem + silicate Atlantic (27.25,27.5] -0.8465084 -0.8644227 -0.8285942
tem + silicate Atlantic (27.5,27.75] -0.7930052 -0.8372436 -0.7487669
tem + silicate Atlantic (27.75,27.85] -0.7338875 -0.7940283 -0.6737468
tem + silicate Atlantic (27.85,27.95] -0.6872413 -0.7187785 -0.6557040
tem + silicate Atlantic (27.95,28.05] -0.7938374 -0.8418746 -0.7458002
tem + silicate Atlantic (28.05,28.1] -0.7859129 -0.8438176 -0.7280081
tem + silicate Atlantic (28.1,28.15] -0.7987463 -0.8097412 -0.7877514
tem + silicate Atlantic (28.15,28.2] -0.7527248 -0.7904979 -0.7149517
tem + silicate Atlantic (28.2, Inf] 0.0594325 0.0213592 0.0975058
tem + silicate Indo-Pacific (-Inf,26] -0.6620193 -0.7316487 -0.5923900
tem + silicate Indo-Pacific (26,26.5] -0.6617807 -0.6838229 -0.6397384
tem + silicate Indo-Pacific (26.5,26.75] -0.6997254 -0.7906455 -0.6088053
tem + silicate Indo-Pacific (26.75,27] -0.7238073 -0.7378014 -0.7098133
tem + silicate Indo-Pacific (27,27.25] -0.5721307 -0.6172427 -0.5270188
tem + silicate Indo-Pacific (27.25,27.5] -0.2662947 -0.2770598 -0.2555296
tem + silicate Indo-Pacific (27.5,27.75] 0.1294016 -0.0623484 0.3211516
tem + silicate Indo-Pacific (27.75,27.85] -0.1708069 -0.2231541 -0.1184596
tem + silicate Indo-Pacific (27.85,27.95] -0.1917835 -0.2897096 -0.0938573
tem + silicate Indo-Pacific (27.95,28.05] -0.0546748 -0.0566685 -0.0526810
tem + silicate Indo-Pacific (28.05,28.1] 0.1479718 0.1275866 0.1683571
tem + silicate Indo-Pacific (28.1, Inf] 0.3690650 0.3454664 0.3926636
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_cstar_predictor <- cor_cstar_predictor %>% 
  rename(predictor = term)

cor_cstar_predictor_stats <- cor_cstar_predictor %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise(mean_r = mean(cstar),
            min_r = min(cstar),
            max_r = max(cstar)) %>% 
  ungroup()

cor_cstar_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
6a8004b jens-daniel-mueller 2020-12-07
70bf1a5 jens-daniel-mueller 2020-12-07
7555355 jens-daniel-mueller 2020-12-07
143d6fa jens-daniel-mueller 2020-12-07
090e4d5 jens-daniel-mueller 2020-12-02
0ff728b jens-daniel-mueller 2020-12-01
91435ae jens-daniel-mueller 2020-12-01
196be51 jens-daniel-mueller 2020-11-30
bc61ce3 Jens Müller 2020-11-30
kable(cor_cstar_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] 0.4559899 0.4168457 0.4951340
aou Atlantic (26,26.5] -0.0143226 -0.0857728 0.0571276
aou Atlantic (26.5,26.75] -0.4168537 -0.5154524 -0.3182550
aou Atlantic (26.75,27] -0.3337144 -0.3606361 -0.3067927
aou Atlantic (27,27.25] -0.4570635 -0.4591715 -0.4549556
aou Atlantic (27.25,27.5] -0.4321854 -0.4874506 -0.3769202
aou Atlantic (27.5,27.75] -0.7714839 -0.7861964 -0.7567714
aou Atlantic (27.75,27.85] -0.9051746 -0.9453983 -0.8649510
aou Atlantic (27.85,27.95] -0.9203397 -0.9455274 -0.8951519
aou Atlantic (27.95,28.05] -0.8727775 -0.8914655 -0.8540895
aou Atlantic (28.05,28.1] -0.8362266 -0.8364703 -0.8359829
aou Atlantic (28.1,28.15] -0.8696988 -0.8698818 -0.8695157
aou Atlantic (28.15,28.2] -0.9542715 -0.9610806 -0.9474624
aou Atlantic (28.2, Inf] -0.2037950 -0.3458869 -0.0617031
aou Indo-Pacific (-Inf,26] -0.0698995 -0.1506572 0.0108582
aou Indo-Pacific (26,26.5] -0.7234269 -0.7252185 -0.7216353
aou Indo-Pacific (26.5,26.75] -0.7294029 -0.7673429 -0.6914629
aou Indo-Pacific (26.75,27] -0.7485020 -0.7887816 -0.7082223
aou Indo-Pacific (27,27.25] 0.0207228 -0.0159992 0.0574448
aou Indo-Pacific (27.25,27.5] 0.5953822 0.5676885 0.6230758
aou Indo-Pacific (27.5,27.75] 0.7515688 0.7413572 0.7617804
aou Indo-Pacific (27.75,27.85] 0.8150042 0.7978133 0.8321952
aou Indo-Pacific (27.85,27.95] 0.7647268 0.7354401 0.7940134
aou Indo-Pacific (27.95,28.05] 0.5451907 0.4699660 0.6204154
aou Indo-Pacific (28.05,28.1] 0.2506354 0.1698917 0.3313791
aou Indo-Pacific (28.1, Inf] 0.4041235 0.2063842 0.6018627
oxygen Atlantic (-Inf,26] -0.5082758 -0.5370508 -0.4795007
oxygen Atlantic (26,26.5] -0.3534126 -0.4101728 -0.2966525
oxygen Atlantic (26.5,26.75] 0.1498342 0.0610062 0.2386622
oxygen Atlantic (26.75,27] 0.1373855 0.0999417 0.1748294
oxygen Atlantic (27,27.25] 0.2390790 0.2115341 0.2666238
oxygen Atlantic (27.25,27.5] 0.0881234 0.0578204 0.1184263
oxygen Atlantic (27.5,27.75] 0.4806127 0.4390196 0.5222059
oxygen Atlantic (27.75,27.85] 0.8124402 0.7447710 0.8801094
oxygen Atlantic (27.85,27.95] 0.8886094 0.8438617 0.9333570
oxygen Atlantic (27.95,28.05] 0.8477193 0.7981394 0.8972992
oxygen Atlantic (28.05,28.1] 0.8108692 0.7819119 0.8398266
oxygen Atlantic (28.1,28.15] 0.8640064 0.8527202 0.8752925
oxygen Atlantic (28.15,28.2] 0.9542338 0.9528381 0.9556296
oxygen Atlantic (28.2, Inf] 0.0195939 -0.0848516 0.1240395
oxygen Indo-Pacific (-Inf,26] 0.1958650 0.1159332 0.2757969
oxygen Indo-Pacific (26,26.5] 0.6280201 0.6108413 0.6451990
oxygen Indo-Pacific (26.5,26.75] 0.6358219 0.5996146 0.6720292
oxygen Indo-Pacific (26.75,27] 0.6670954 0.6175153 0.7166755
oxygen Indo-Pacific (27,27.25] -0.0012046 -0.0622476 0.0598384
oxygen Indo-Pacific (27.25,27.5] -0.5516377 -0.5892717 -0.5140038
oxygen Indo-Pacific (27.5,27.75] -0.7150667 -0.7282799 -0.7018535
oxygen Indo-Pacific (27.75,27.85] -0.7962561 -0.8162598 -0.7762524
oxygen Indo-Pacific (27.85,27.95] -0.7503319 -0.7820309 -0.7186329
oxygen Indo-Pacific (27.95,28.05] -0.5423030 -0.6155152 -0.4690908
oxygen Indo-Pacific (28.05,28.1] -0.2645961 -0.3399456 -0.1892466
oxygen Indo-Pacific (28.1, Inf] -0.4309062 -0.6267261 -0.2350864
phosphate Atlantic (-Inf,26] -0.2611452 -0.4975260 -0.0247644
phosphate Atlantic (26,26.5] -0.6719189 -0.6917201 -0.6521176
phosphate Atlantic (26.5,26.75] -0.7943288 -0.8413863 -0.7472712
phosphate Atlantic (26.75,27] -0.7581461 -0.7622774 -0.7540147
phosphate Atlantic (27,27.25] -0.8757951 -0.8963077 -0.8552825
phosphate Atlantic (27.25,27.5] -0.9476694 -0.9564427 -0.9388961
phosphate Atlantic (27.5,27.75] -0.9851251 -0.9869732 -0.9832770
phosphate Atlantic (27.75,27.85] -0.9701235 -0.9721883 -0.9680587
phosphate Atlantic (27.85,27.95] -0.9411476 -0.9445090 -0.9377862
phosphate Atlantic (27.95,28.05] -0.9081241 -0.9144412 -0.9018070
phosphate Atlantic (28.05,28.1] -0.8800533 -0.8930323 -0.8670743
phosphate Atlantic (28.1,28.15] -0.8986551 -0.9013151 -0.8959952
phosphate Atlantic (28.15,28.2] -0.9756892 -0.9839520 -0.9674263
phosphate Atlantic (28.2, Inf] -0.8075998 -0.8265430 -0.7886565
phosphate Indo-Pacific (-Inf,26] -0.0881318 -0.1589887 -0.0172748
phosphate Indo-Pacific (26,26.5] -0.8493963 -0.8515321 -0.8472606
phosphate Indo-Pacific (26.5,26.75] -0.8750910 -0.8960517 -0.8541302
phosphate Indo-Pacific (26.75,27] -0.8725801 -0.8876444 -0.8575158
phosphate Indo-Pacific (27,27.25] -0.0597183 -0.0617939 -0.0576426
phosphate Indo-Pacific (27.25,27.5] 0.5173841 0.4859653 0.5488029
phosphate Indo-Pacific (27.5,27.75] 0.6629026 0.6459742 0.6798311
phosphate Indo-Pacific (27.75,27.85] 0.7411251 0.7194814 0.7627689
phosphate Indo-Pacific (27.85,27.95] 0.6840093 0.6389741 0.7290445
phosphate Indo-Pacific (27.95,28.05] 0.4286515 0.3172233 0.5400797
phosphate Indo-Pacific (28.05,28.1] 0.1084516 -0.0142881 0.2311913
phosphate Indo-Pacific (28.1, Inf] 0.0700223 -0.1599327 0.2999773
phosphate_star Atlantic (-Inf,26] -0.5879081 -0.7572417 -0.4185745
phosphate_star Atlantic (26,26.5] -0.8388500 -0.8535827 -0.8241173
phosphate_star Atlantic (26.5,26.75] -0.9223790 -0.9379066 -0.9068514
phosphate_star Atlantic (26.75,27] -0.9563837 -0.9568210 -0.9559465
phosphate_star Atlantic (27,27.25] -0.9528328 -0.9595152 -0.9461504
phosphate_star Atlantic (27.25,27.5] -0.9481455 -0.9624556 -0.9338355
phosphate_star Atlantic (27.5,27.75] -0.9267695 -0.9360881 -0.9174508
phosphate_star Atlantic (27.75,27.85] -0.8858922 -0.8875881 -0.8841962
phosphate_star Atlantic (27.85,27.95] -0.8146455 -0.8201887 -0.8091022
phosphate_star Atlantic (27.95,28.05] -0.8595054 -0.8703565 -0.8486543
phosphate_star Atlantic (28.05,28.1] -0.8503166 -0.8503237 -0.8503095
phosphate_star Atlantic (28.1,28.15] -0.8803630 -0.8806263 -0.8800997
phosphate_star Atlantic (28.15,28.2] -0.9740378 -0.9799749 -0.9681007
phosphate_star Atlantic (28.2, Inf] -0.8182692 -0.8338185 -0.8027199
phosphate_star Indo-Pacific (-Inf,26] 0.0286351 0.0029204 0.0543499
phosphate_star Indo-Pacific (26,26.5] -0.8258794 -0.8576435 -0.7941154
phosphate_star Indo-Pacific (26.5,26.75] -0.7799373 -0.8964062 -0.6634684
phosphate_star Indo-Pacific (26.75,27] -0.7271247 -0.8298347 -0.6244147
phosphate_star Indo-Pacific (27,27.25] -0.1785885 -0.3358906 -0.0212863
phosphate_star Indo-Pacific (27.25,27.5] -0.3277024 -0.3365516 -0.3188532
phosphate_star Indo-Pacific (27.5,27.75] -0.6023562 -0.6529433 -0.5517692
phosphate_star Indo-Pacific (27.75,27.85] -0.6402980 -0.7387686 -0.5418274
phosphate_star Indo-Pacific (27.85,27.95] -0.3708940 -0.3730268 -0.3687612
phosphate_star Indo-Pacific (27.95,28.05] -0.2368654 -0.3309687 -0.1427620
phosphate_star Indo-Pacific (28.05,28.1] -0.3001788 -0.4251198 -0.1752377
phosphate_star Indo-Pacific (28.1, Inf] -0.5596728 -0.6467270 -0.4726186
sal Atlantic (-Inf,26] 0.4213348 0.3054698 0.5371998
sal Atlantic (26,26.5] 0.7899256 0.7723096 0.8075416
sal Atlantic (26.5,26.75] 0.8838923 0.8612043 0.9065802
sal Atlantic (26.75,27] 0.9325305 0.9288404 0.9362206
sal Atlantic (27,27.25] 0.9320753 0.9224046 0.9417461
sal Atlantic (27.25,27.5] 0.9209914 0.9102003 0.9317825
sal Atlantic (27.5,27.75] 0.8140964 0.7980833 0.8301095
sal Atlantic (27.75,27.85] 0.6700950 0.6370681 0.7031220
sal Atlantic (27.85,27.95] 0.4870339 0.4771202 0.4969476
sal Atlantic (27.95,28.05] 0.6185980 0.6104899 0.6267061
sal Atlantic (28.05,28.1] 0.6577055 0.6500149 0.6653962
sal Atlantic (28.1,28.15] 0.7333228 0.7148162 0.7518294
sal Atlantic (28.15,28.2] 0.9070979 0.8889875 0.9252083
sal Atlantic (28.2, Inf] 0.7093820 0.6742871 0.7444769
sal Indo-Pacific (-Inf,26] 0.0090507 -0.0446195 0.0627210
sal Indo-Pacific (26,26.5] 0.4792326 0.3207365 0.6377287
sal Indo-Pacific (26.5,26.75] 0.4983705 0.2634938 0.7332471
sal Indo-Pacific (26.75,27] 0.5032878 0.3534774 0.6530982
sal Indo-Pacific (27,27.25] -0.2803302 -0.4672424 -0.0934180
sal Indo-Pacific (27.25,27.5] -0.4338502 -0.5440639 -0.3236366
sal Indo-Pacific (27.5,27.75] -0.2984802 -0.3844158 -0.2125447
sal Indo-Pacific (27.75,27.85] -0.4169821 -0.5250504 -0.3089138
sal Indo-Pacific (27.85,27.95] -0.3879447 -0.5592663 -0.2166231
sal Indo-Pacific (27.95,28.05] -0.0939247 -0.2025705 0.0147212
sal Indo-Pacific (28.05,28.1] 0.0368394 -0.0984716 0.1721504
sal Indo-Pacific (28.1, Inf] 0.3049400 0.2785195 0.3313605
silicate Atlantic (-Inf,26] -0.3311513 -0.6258726 -0.0364300
silicate Atlantic (26,26.5] -0.6488045 -0.6987993 -0.5988096
silicate Atlantic (26.5,26.75] -0.7243307 -0.7922666 -0.6563948
silicate Atlantic (26.75,27] -0.6495475 -0.6704050 -0.6286900
silicate Atlantic (27,27.25] -0.8396506 -0.8435681 -0.8357331
silicate Atlantic (27.25,27.5] -0.9049930 -0.9080138 -0.9019722
silicate Atlantic (27.5,27.75] -0.8834247 -0.8989796 -0.8678698
silicate Atlantic (27.75,27.85] -0.8943647 -0.9098393 -0.8788901
silicate Atlantic (27.85,27.95] -0.8751085 -0.8861694 -0.8640477
silicate Atlantic (27.95,28.05] -0.8564135 -0.8699341 -0.8428930
silicate Atlantic (28.05,28.1] -0.8405016 -0.8591471 -0.8218562
silicate Atlantic (28.1,28.15] -0.8780067 -0.8849297 -0.8710837
silicate Atlantic (28.15,28.2] -0.9648110 -0.9712457 -0.9583762
silicate Atlantic (28.2, Inf] -0.7011346 -0.7637823 -0.6384870
silicate Indo-Pacific (-Inf,26] -0.1219984 -0.1820834 -0.0619134
silicate Indo-Pacific (26,26.5] -0.7144461 -0.7404965 -0.6883956
silicate Indo-Pacific (26.5,26.75] -0.6894435 -0.7670938 -0.6117932
silicate Indo-Pacific (26.75,27] -0.6469336 -0.6798179 -0.6140493
silicate Indo-Pacific (27,27.25] 0.2589785 0.2022231 0.3157340
silicate Indo-Pacific (27.25,27.5] 0.7925891 0.7810748 0.8041033
silicate Indo-Pacific (27.5,27.75] 0.8679446 0.8625309 0.8733583
silicate Indo-Pacific (27.75,27.85] 0.8379913 0.8213046 0.8546779
silicate Indo-Pacific (27.85,27.95] 0.7525825 0.7206443 0.7845206
silicate Indo-Pacific (27.95,28.05] 0.5142802 0.4276908 0.6008695
silicate Indo-Pacific (28.05,28.1] 0.1927953 0.1093712 0.2762194
silicate Indo-Pacific (28.1, Inf] 0.0522671 -0.1124998 0.2170341
tem Atlantic (-Inf,26] 0.2877079 0.1650315 0.4103843
tem Atlantic (26,26.5] 0.7495085 0.7442808 0.7547361
tem Atlantic (26.5,26.75] 0.8756111 0.8472814 0.9039407
tem Atlantic (26.75,27] 0.9180135 0.9169384 0.9190886
tem Atlantic (27,27.25] 0.9062774 0.8956405 0.9169143
tem Atlantic (27.25,27.5] 0.9015574 0.8839165 0.9191982
tem Atlantic (27.5,27.75] 0.7815751 0.7728350 0.7903153
tem Atlantic (27.75,27.85] 0.6651047 0.6418301 0.6883792
tem Atlantic (27.85,27.95] 0.5001781 0.4994768 0.5008793
tem Atlantic (27.95,28.05] 0.5807918 0.5768144 0.5847692
tem Atlantic (28.05,28.1] 0.5651981 0.5481194 0.5822768
tem Atlantic (28.1,28.15] 0.5717333 0.5127791 0.6306876
tem Atlantic (28.15,28.2] 0.6680195 0.6203460 0.7156930
tem Atlantic (28.2, Inf] 0.5731594 0.5704620 0.5758569
tem Indo-Pacific (-Inf,26] -0.3177459 -0.3376904 -0.2978014
tem Indo-Pacific (26,26.5] 0.5153942 0.4030266 0.6277619
tem Indo-Pacific (26.5,26.75] 0.4948961 0.2759148 0.7138774
tem Indo-Pacific (26.75,27] 0.5337960 0.3910586 0.6765334
tem Indo-Pacific (27,27.25] -0.1428888 -0.3333651 0.0475876
tem Indo-Pacific (27.25,27.5] -0.3929431 -0.4833054 -0.3025809
tem Indo-Pacific (27.5,27.75] -0.3561074 -0.4461809 -0.2660339
tem Indo-Pacific (27.75,27.85] -0.3452616 -0.4503834 -0.2401397
tem Indo-Pacific (27.85,27.95] -0.2607883 -0.3946921 -0.1268845
tem Indo-Pacific (27.95,28.05] 0.0496416 0.0386595 0.0606236
tem Indo-Pacific (28.05,28.1] 0.1681518 0.1517875 0.1845161
tem Indo-Pacific (28.1, Inf] 0.4608543 0.2671166 0.6545920
rm(cor_cstar_predictor, cor_cstar_predictor_stats)

sessionInfo()
R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.0  collapse_1.4.2   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1