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1 Required data

Required are:

cleaned and prepared GLODAPv2.2020 file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coeffcients.

2.1 Correlation plots

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

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

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

Version	Author	Date
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

Version	Author	Date
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
4d612dd	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11

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

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

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

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

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

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

}

2.2 Correlation assesment

2.2.1 Calculation of correlation coeffcients

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

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

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

2.2.2 Predictor pairs

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

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

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

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

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.9040701	0.8982370	0.9080922
aou + nitrate	Atlantic	(26,26.5]	0.8945643	0.8665962	0.9115022
aou + nitrate	Atlantic	(26.5,26.75]	0.9480616	0.9328376	0.9708389
aou + nitrate	Atlantic	(26.75,27]	0.9383474	0.9175229	0.9613992
aou + nitrate	Atlantic	(27,27.25]	0.9057940	0.8739095	0.9340019
aou + nitrate	Atlantic	(27.25,27.5]	0.8030345	0.7763515	0.8414878
aou + nitrate	Atlantic	(27.5,27.75]	0.8901881	0.8685099	0.9181907
aou + nitrate	Atlantic	(27.75,27.85]	0.9493460	0.9395513	0.9659371
aou + nitrate	Atlantic	(27.85,27.95]	0.9587948	0.9497354	0.9685000
aou + nitrate	Atlantic	(27.95,28.05]	0.9639478	0.9512875	0.9841233
aou + nitrate	Atlantic	(28.05,28.1]	0.9715910	0.9469407	0.9875447
aou + nitrate	Atlantic	(28.1,28.15]	0.9824946	0.9665410	0.9916887
aou + nitrate	Atlantic	(28.15,28.2]	0.9865172	0.9690517	0.9962328
aou + nitrate	Atlantic	(28.2, Inf]	0.7788908	0.5841026	0.8910767
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9299735	0.8942159	0.9725153
aou + nitrate	Indo-Pacific	(26,26.5]	0.9129604	0.9016329	0.9323651
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.9216100	0.8955197	0.9491854
aou + nitrate	Indo-Pacific	(26.75,27]	0.9440811	0.9430724	0.9457676
aou + nitrate	Indo-Pacific	(27,27.25]	0.9545829	0.9304649	0.9685774
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.9395497	0.8957693	0.9698040
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9061035	0.8850300	0.9223309
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9650122	0.9241268	0.9904539
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9696411	0.9415281	0.9906739
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9584182	0.9373823	0.9765279
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9480437	0.9294113	0.9687800
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.7772641	0.7076181	0.8621738
aou + phosphate	Atlantic	(-Inf,26]	0.5921376	0.4299411	0.7434863
aou + phosphate	Atlantic	(26,26.5]	0.7598635	0.6459023	0.8751264
aou + phosphate	Atlantic	(26.5,26.75]	0.8864892	0.8541176	0.9197556
aou + phosphate	Atlantic	(26.75,27]	0.8792375	0.8478852	0.9170656
aou + phosphate	Atlantic	(27,27.25]	0.8552547	0.8255061	0.8986876
aou + phosphate	Atlantic	(27.25,27.5]	0.7471095	0.7218841	0.7920698
aou + phosphate	Atlantic	(27.5,27.75]	0.8645112	0.8427299	0.9002388
aou + phosphate	Atlantic	(27.75,27.85]	0.9365575	0.9245418	0.9600789
aou + phosphate	Atlantic	(27.85,27.95]	0.9504819	0.9432450	0.9616827
aou + phosphate	Atlantic	(27.95,28.05]	0.9600637	0.9462270	0.9832441
aou + phosphate	Atlantic	(28.05,28.1]	0.9662971	0.9380319	0.9870268
aou + phosphate	Atlantic	(28.1,28.15]	0.9771870	0.9624112	0.9866618
aou + phosphate	Atlantic	(28.15,28.2]	0.9860610	0.9686645	0.9964244
aou + phosphate	Atlantic	(28.2, Inf]	0.7681858	0.5533360	0.8925627
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9430269	0.9118759	0.9682281
aou + phosphate	Indo-Pacific	(26,26.5]	0.9503367	0.9453373	0.9554296
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9457532	0.9396793	0.9495151
aou + phosphate	Indo-Pacific	(26.75,27]	0.9496772	0.9460502	0.9563393
aou + phosphate	Indo-Pacific	(27,27.25]	0.9663372	0.9501832	0.9798494
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9606981	0.9353954	0.9780161
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9394307	0.9070092	0.9601260
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9781466	0.9622891	0.9878902
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9756584	0.9593341	0.9883027
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9620442	0.9449393	0.9740556
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9487809	0.9309682	0.9654354
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7638674	0.6876538	0.8256873
aou + phosphate_star	Atlantic	(-Inf,26]	0.0424633	-0.3956899	0.3362197
aou + phosphate_star	Atlantic	(26,26.5]	0.4009674	0.1224406	0.7050335
aou + phosphate_star	Atlantic	(26.5,26.75]	0.4425376	0.3116008	0.5982470
aou + phosphate_star	Atlantic	(26.75,27]	0.2278856	0.1210451	0.3113358
aou + phosphate_star	Atlantic	(27,27.25]	0.3037955	0.0472867	0.5433020
aou + phosphate_star	Atlantic	(27.25,27.5]	0.2567655	0.1470430	0.3670589
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5897012	0.5560261	0.6333940
aou + phosphate_star	Atlantic	(27.75,27.85]	0.7145610	0.6745538	0.7634145
aou + phosphate_star	Atlantic	(27.85,27.95]	0.6835993	0.6604055	0.6956476
aou + phosphate_star	Atlantic	(27.95,28.05]	0.8115484	0.7381584	0.9164558
aou + phosphate_star	Atlantic	(28.05,28.1]	0.8770886	0.7861813	0.9476809
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9122374	0.8623718	0.9448088
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9500939	0.8834488	0.9897098
aou + phosphate_star	Atlantic	(28.2, Inf]	0.4125535	-0.0646566	0.6852483
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.6984467	0.5654586	0.7926225
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.5752745	0.5441638	0.6258395
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.3997158	0.2269533	0.5679434
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.3371931	0.1616987	0.4736098
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.0428526	-0.2371565	0.2370308
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4207653	-0.5121015	-0.3402663
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3181155	-0.5708838	0.0561409
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5159969	-0.5942862	-0.4753149
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.1442967	-0.1634833	-0.1181376
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.1491922	0.0616676	0.1988175
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.2740743	0.2571744	0.2897408
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.6861309	-0.7189850	-0.6562529
aou + silicate	Atlantic	(-Inf,26]	0.3669238	0.1770356	0.5754309
aou + silicate	Atlantic	(26,26.5]	0.6688289	0.5686841	0.7493566
aou + silicate	Atlantic	(26.5,26.75]	0.8604385	0.7898136	0.9214654
aou + silicate	Atlantic	(26.75,27]	0.8696001	0.8257318	0.9009187
aou + silicate	Atlantic	(27,27.25]	0.8102418	0.7420231	0.8918355
aou + silicate	Atlantic	(27.25,27.5]	0.5543630	0.4150984	0.6960691
aou + silicate	Atlantic	(27.5,27.75]	0.6837486	0.6727558	0.7007072
aou + silicate	Atlantic	(27.75,27.85]	0.8502821	0.8234798	0.8765127
aou + silicate	Atlantic	(27.85,27.95]	0.8969683	0.8870936	0.9117718
aou + silicate	Atlantic	(27.95,28.05]	0.9446434	0.9344877	0.9616422
aou + silicate	Atlantic	(28.05,28.1]	0.9672453	0.9502303	0.9843447
aou + silicate	Atlantic	(28.1,28.15]	0.9772768	0.9714484	0.9806706
aou + silicate	Atlantic	(28.15,28.2]	0.9900595	0.9808916	0.9961188
aou + silicate	Atlantic	(28.2, Inf]	0.7270756	0.4219709	0.8822202
aou + silicate	Indo-Pacific	(-Inf,26]	0.7543870	0.6856650	0.8232758
aou + silicate	Indo-Pacific	(26,26.5]	0.6767243	0.5595920	0.7961276
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6418884	0.4404543	0.7960586
aou + silicate	Indo-Pacific	(26.75,27]	0.7662435	0.7103023	0.8100112
aou + silicate	Indo-Pacific	(27,27.25]	0.8767678	0.8471693	0.9059450
aou + silicate	Indo-Pacific	(27.25,27.5]	0.8994138	0.8583590	0.9353082
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9127961	0.8524710	0.9473462
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9613126	0.9373944	0.9742107
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9570780	0.9359700	0.9691507
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9460543	0.9358325	0.9516554
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9458164	0.9437738	0.9490729
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6688629	0.6296702	0.6891115
nitrate + phosphate	Atlantic	(-Inf,26]	0.6932754	0.6463787	0.7528712
nitrate + phosphate	Atlantic	(26,26.5]	0.9282791	0.9028969	0.9760332
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9786829	0.9719927	0.9840426
nitrate + phosphate	Atlantic	(26.75,27]	0.9818533	0.9799110	0.9834009
nitrate + phosphate	Atlantic	(27,27.25]	0.9890791	0.9849876	0.9919361
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9916992	0.9899140	0.9927610
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9933108	0.9919896	0.9956360
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9935061	0.9919763	0.9944329
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9905438	0.9899242	0.9909742
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9904257	0.9885266	0.9919022
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9914290	0.9898253	0.9924377
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9958058	0.9947596	0.9968731
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9972027	0.9960483	0.9984425
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9868253	0.9749913	0.9955198
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9684694	0.9583383	0.9741264
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.9382409	0.9049911	0.9598901
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.9485857	0.9271011	0.9691322
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.9761236	0.9586096	0.9887502
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.9778706	0.9560384	0.9913751
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.9717503	0.9339906	0.9919164
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9565297	0.8941931	0.9891970
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9776646	0.9493021	0.9929500
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9811878	0.9587196	0.9946656
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9811936	0.9672343	0.9926756
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9779813	0.9642216	0.9880589
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9321949	0.8698386	0.9735358
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.2166846	-0.0995541	0.3908953
nitrate + phosphate_star	Atlantic	(26,26.5]	0.7065239	0.5526010	0.9099029
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.6852449	0.6099667	0.7595545
nitrate + phosphate_star	Atlantic	(26.75,27]	0.5276346	0.3626914	0.6142099
nitrate + phosphate_star	Atlantic	(27,27.25]	0.6609805	0.4495242	0.8010595
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.7730396	0.7136506	0.8043626
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.8795051	0.8753115	0.8819355
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8821766	0.8763460	0.8883825
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.8416522	0.8277035	0.8685167
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9156658	0.8779232	0.9491210
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9498785	0.9313900	0.9691046
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9645344	0.9574579	0.9710631
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9828062	0.9659547	0.9953129
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.8645505	0.7473928	0.9234692
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8690595	0.8292453	0.9097891
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.7325709	0.5967907	0.8369852
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6015572	0.4938400	0.7849158
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.5655404	0.3757943	0.7111778
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.2682241	0.0365656	0.4155367
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1576351	-0.2100803	-0.0883988
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0114667	-0.2604712	0.4150643
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3445099	-0.5071449	-0.1939949
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0274582	-0.0139118	0.0851268
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3650498	0.2475439	0.4415105
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5081065	0.4833171	0.5272074
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1414092	-0.2072404	-0.0918458
nitrate + silicate	Atlantic	(-Inf,26]	0.5590104	0.4272379	0.6667275
nitrate + silicate	Atlantic	(26,26.5]	0.8504158	0.8099049	0.9158740
nitrate + silicate	Atlantic	(26.5,26.75]	0.9433997	0.8952413	0.9683076
nitrate + silicate	Atlantic	(26.75,27]	0.9361123	0.9144637	0.9611596
nitrate + silicate	Atlantic	(27,27.25]	0.9381947	0.9014875	0.9695502
nitrate + silicate	Atlantic	(27.25,27.5]	0.8753235	0.8036790	0.9230713
nitrate + silicate	Atlantic	(27.5,27.75]	0.8898853	0.8829907	0.8958609
nitrate + silicate	Atlantic	(27.75,27.85]	0.9447244	0.9361106	0.9554408
nitrate + silicate	Atlantic	(27.85,27.95]	0.9663931	0.9619763	0.9736037
nitrate + silicate	Atlantic	(27.95,28.05]	0.9771459	0.9704063	0.9831861
nitrate + silicate	Atlantic	(28.05,28.1]	0.9880603	0.9868965	0.9891484
nitrate + silicate	Atlantic	(28.1,28.15]	0.9920662	0.9912877	0.9925891
nitrate + silicate	Atlantic	(28.15,28.2]	0.9945357	0.9895766	0.9984633
nitrate + silicate	Atlantic	(28.2, Inf]	0.9711898	0.9514642	0.9860034
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8811325	0.8668644	0.8962393
nitrate + silicate	Indo-Pacific	(26,26.5]	0.8088602	0.7512057	0.8442655
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.7830199	0.6557158	0.8537388
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8426604	0.8107425	0.8613742
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8848326	0.8515403	0.9196467
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.8568152	0.8054000	0.9131848
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.8187514	0.7922285	0.8499747
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9359154	0.8945455	0.9569750
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9515662	0.9236447	0.9675348
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9526592	0.9460320	0.9657703
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9547988	0.9507430	0.9603821
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7938408	0.7446705	0.8538106
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.7982167	0.6465930	0.8784980
phosphate + phosphate_star	Atlantic	(26,26.5]	0.8918777	0.8344849	0.9549651
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.8024583	0.7151354	0.8641636
phosphate + phosphate_star	Atlantic	(26.75,27]	0.6554318	0.5059077	0.7347325
phosphate + phosphate_star	Atlantic	(27,27.25]	0.7445320	0.5787979	0.8560259
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.8319646	0.7895757	0.8575840
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.9119491	0.9028668	0.9194903
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9107639	0.9026927	0.9209676
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.8738606	0.8630977	0.8928647
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9392514	0.9079944	0.9711076
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9695879	0.9505582	0.9854330
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9775991	0.9668943	0.9847410
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9881582	0.9717054	0.9980688
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.8876582	0.7930890	0.9378959
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.8815858	0.8359405	0.9055997
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.7969607	0.7738724	0.8353680
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6692469	0.5438535	0.7956458
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.6084041	0.4669290	0.7304464
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.2848694	0.0694382	0.4190868
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.1744470	-0.2208412	-0.1134857
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0140935	-0.1953430	0.3460578
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.3442277	-0.4689868	-0.2366149
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0597110	0.0276817	0.1209102
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.4033007	0.2820130	0.4913491
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.5578202	0.5269749	0.5873660
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.0636801	-0.1184024	0.0045129
sal + aou	Atlantic	(-Inf,26]	-0.1390018	-0.4352518	0.3492498
sal + aou	Atlantic	(26,26.5]	-0.2730480	-0.5873391	-0.0125906
sal + aou	Atlantic	(26.5,26.75]	-0.2638263	-0.4740326	-0.0084286
sal + aou	Atlantic	(26.75,27]	-0.1609270	-0.2548345	-0.0297872
sal + aou	Atlantic	(27,27.25]	-0.3069610	-0.5538160	-0.0391764
sal + aou	Atlantic	(27.25,27.5]	-0.2386425	-0.3612421	-0.1139652
sal + aou	Atlantic	(27.5,27.75]	-0.4232496	-0.4650149	-0.3963971
sal + aou	Atlantic	(27.75,27.85]	-0.3857209	-0.4237876	-0.3353702
sal + aou	Atlantic	(27.85,27.95]	-0.2852529	-0.3631843	-0.2430621
sal + aou	Atlantic	(27.95,28.05]	-0.4945859	-0.6027954	-0.2791081
sal + aou	Atlantic	(28.05,28.1]	-0.7283249	-0.7848110	-0.6419715
sal + aou	Atlantic	(28.1,28.15]	-0.8197592	-0.8597574	-0.7642348
sal + aou	Atlantic	(28.15,28.2]	-0.9184041	-0.9890539	-0.8088000
sal + aou	Atlantic	(28.2, Inf]	-0.4924826	-0.7245781	-0.1107016
sal + aou	Indo-Pacific	(-Inf,26]	-0.1666257	-0.2624102	-0.0475960
sal + aou	Indo-Pacific	(26,26.5]	-0.1196997	-0.2520862	0.1135091
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1072930	-0.3593721	0.2074454
sal + aou	Indo-Pacific	(26.75,27]	-0.1379592	-0.3523322	0.1101354
sal + aou	Indo-Pacific	(27,27.25]	0.0098695	-0.1905092	0.3872017
sal + aou	Indo-Pacific	(27.25,27.5]	0.1987656	0.0710895	0.4511200
sal + aou	Indo-Pacific	(27.5,27.75]	0.3531596	0.1378777	0.4887358
sal + aou	Indo-Pacific	(27.75,27.85]	-0.0889423	-0.4061199	0.3345864
sal + aou	Indo-Pacific	(27.85,27.95]	-0.2506334	-0.6460640	0.1656698
sal + aou	Indo-Pacific	(27.95,28.05]	-0.2747950	-0.4073417	-0.0651516
sal + aou	Indo-Pacific	(28.05,28.1]	-0.2958750	-0.4724000	-0.1333195
sal + aou	Indo-Pacific	(28.1, Inf]	0.4433351	0.3256727	0.5224026
sal + nitrate	Atlantic	(-Inf,26]	-0.2708821	-0.5813324	0.0995184
sal + nitrate	Atlantic	(26,26.5]	-0.5669023	-0.7945231	-0.4110053
sal + nitrate	Atlantic	(26.5,26.75]	-0.4990990	-0.6476238	-0.2715959
sal + nitrate	Atlantic	(26.75,27]	-0.4531526	-0.5520725	-0.2581075
sal + nitrate	Atlantic	(27,27.25]	-0.6523693	-0.8026038	-0.4287232
sal + nitrate	Atlantic	(27.25,27.5]	-0.7398900	-0.7818021	-0.6659228
sal + nitrate	Atlantic	(27.5,27.75]	-0.7188070	-0.7726818	-0.6547772
sal + nitrate	Atlantic	(27.75,27.85]	-0.5728564	-0.6469057	-0.4366678
sal + nitrate	Atlantic	(27.85,27.95]	-0.4928046	-0.5856796	-0.4207062
sal + nitrate	Atlantic	(27.95,28.05]	-0.6371153	-0.7749179	-0.4935861
sal + nitrate	Atlantic	(28.05,28.1]	-0.8216027	-0.8282480	-0.8166186
sal + nitrate	Atlantic	(28.1,28.15]	-0.8813823	-0.8990481	-0.8649341
sal + nitrate	Atlantic	(28.15,28.2]	-0.9496426	-0.9846664	-0.9079598
sal + nitrate	Atlantic	(28.2, Inf]	-0.8996706	-0.9390691	-0.8349300
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3813260	-0.4079892	-0.3508670
sal + nitrate	Indo-Pacific	(26,26.5]	-0.3863061	-0.5665152	-0.2101336
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.3762178	-0.6350797	-0.1402721
sal + nitrate	Indo-Pacific	(26.75,27]	-0.3806076	-0.5891911	-0.1476773
sal + nitrate	Indo-Pacific	(27,27.25]	-0.1804257	-0.3348224	0.1035458
sal + nitrate	Indo-Pacific	(27.25,27.5]	0.0463437	-0.0234624	0.0976291
sal + nitrate	Indo-Pacific	(27.5,27.75]	0.3443205	0.0681876	0.7288858
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.2226357	-0.4221823	0.0467243
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.3815714	-0.6706065	-0.0770129
sal + nitrate	Indo-Pacific	(27.95,28.05]	-0.4696091	-0.5466890	-0.3349966
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.5264741	-0.6362825	-0.4129526
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.0398855	-0.1190786	0.0614766
sal + phosphate	Atlantic	(-Inf,26]	-0.6362253	-0.7613570	-0.4893920
sal + phosphate	Atlantic	(26,26.5]	-0.7868554	-0.8488955	-0.7395335
sal + phosphate	Atlantic	(26.5,26.75]	-0.6414634	-0.7717190	-0.4121211
sal + phosphate	Atlantic	(26.75,27]	-0.5870319	-0.6789238	-0.4056417
sal + phosphate	Atlantic	(27,27.25]	-0.7335592	-0.8519845	-0.5586510
sal + phosphate	Atlantic	(27.25,27.5]	-0.7962893	-0.8335837	-0.7372091
sal + phosphate	Atlantic	(27.5,27.75]	-0.7603741	-0.8170502	-0.6920929
sal + phosphate	Atlantic	(27.75,27.85]	-0.6161331	-0.6935992	-0.4884422
sal + phosphate	Atlantic	(27.85,27.95]	-0.5187501	-0.5995735	-0.4540800
sal + phosphate	Atlantic	(27.95,28.05]	-0.6522407	-0.7849892	-0.5042762
sal + phosphate	Atlantic	(28.05,28.1]	-0.8357060	-0.8372453	-0.8347087
sal + phosphate	Atlantic	(28.1,28.15]	-0.8950704	-0.9117123	-0.8829821
sal + phosphate	Atlantic	(28.15,28.2]	-0.9514563	-0.9866980	-0.9135176
sal + phosphate	Atlantic	(28.2, Inf]	-0.9042944	-0.9406011	-0.8438446
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2506274	-0.2940559	-0.1764954
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3067773	-0.4918362	-0.1135255
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3296826	-0.5986676	-0.0941432
sal + phosphate	Indo-Pacific	(26.75,27]	-0.3708504	-0.6014414	-0.1043296
sal + phosphate	Indo-Pacific	(27,27.25]	-0.1544984	-0.3449632	0.1850517
sal + phosphate	Indo-Pacific	(27.25,27.5]	0.1092546	-0.0072762	0.2626723
sal + phosphate	Indo-Pacific	(27.5,27.75]	0.3880440	0.2087947	0.6707594
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1240091	-0.3776445	0.2451028
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.3221888	-0.6573281	0.0538089
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.4443298	-0.5571732	-0.2643279
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.5127636	-0.6421373	-0.3836156
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.0603669	-0.1798367	0.0299331
sal + phosphate_star	Atlantic	(-Inf,26]	-0.8253167	-0.8964955	-0.7116879
sal + phosphate_star	Atlantic	(26,26.5]	-0.9540068	-0.9650427	-0.9376890
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.9374468	-0.9754285	-0.8633480
sal + phosphate_star	Atlantic	(26.75,27]	-0.9715797	-0.9825553	-0.9561903
sal + phosphate_star	Atlantic	(27,27.25]	-0.9810313	-0.9834699	-0.9773721
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.9696659	-0.9744085	-0.9607128
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.9169149	-0.9435785	-0.8838520
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.8330546	-0.8858073	-0.7347688
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.8126810	-0.8400598	-0.7751176
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.8134643	-0.9076696	-0.7663181
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.9085894	-0.9362972	-0.8895951
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.9450231	-0.9587282	-0.9277590
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.9684311	-0.9840051	-0.9534342
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9682516	-0.9779269	-0.9502481
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.4831761	-0.5121354	-0.4656609
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.6610985	-0.8286305	-0.5405807
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7804676	-0.9142257	-0.6072361
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8534923	-0.9312265	-0.7401265
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8060280	-0.8440192	-0.7801235
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5587530	-0.7777595	-0.3109455
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.0781095	-0.6556716	0.5442312
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.2805793	-0.6663607	0.2105844
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.4475063	-0.6064238	-0.1424602
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7660527	-0.7994291	-0.7293796
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.8460410	-0.8802021	-0.8053581
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.7797397	-0.8173862	-0.7051440
sal + silicate	Atlantic	(-Inf,26]	-0.7084259	-0.7585795	-0.6732885
sal + silicate	Atlantic	(26,26.5]	-0.7455161	-0.8567876	-0.6874704
sal + silicate	Atlantic	(26.5,26.75]	-0.5647848	-0.7017144	-0.3326459
sal + silicate	Atlantic	(26.75,27]	-0.4798872	-0.5853999	-0.2978933
sal + silicate	Atlantic	(27,27.25]	-0.7105581	-0.8065306	-0.5794141
sal + silicate	Atlantic	(27.25,27.5]	-0.8015749	-0.8269423	-0.7743254
sal + silicate	Atlantic	(27.5,27.75]	-0.7356983	-0.7565035	-0.7093394
sal + silicate	Atlantic	(27.75,27.85]	-0.6319113	-0.6782832	-0.5467947
sal + silicate	Atlantic	(27.85,27.95]	-0.5950036	-0.6683928	-0.5342541
sal + silicate	Atlantic	(27.95,28.05]	-0.6953028	-0.8079966	-0.5484332
sal + silicate	Atlantic	(28.05,28.1]	-0.8502038	-0.8661307	-0.8237775
sal + silicate	Atlantic	(28.1,28.15]	-0.9008043	-0.9202287	-0.8710646
sal + silicate	Atlantic	(28.15,28.2]	-0.9374286	-0.9887896	-0.8670309
sal + silicate	Atlantic	(28.2, Inf]	-0.9105663	-0.9465580	-0.8719184
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5341663	-0.5932843	-0.4656442
sal + silicate	Indo-Pacific	(26,26.5]	-0.5320879	-0.6678242	-0.3875300
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6307352	-0.8036666	-0.4376551
sal + silicate	Indo-Pacific	(26.75,27]	-0.5897972	-0.7615074	-0.2760627
sal + silicate	Indo-Pacific	(27,27.25]	-0.3391816	-0.5421754	0.0157122
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.0635995	-0.1966386	0.1586903
sal + silicate	Indo-Pacific	(27.5,27.75]	0.1933949	0.0371453	0.3820725
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.1445583	-0.3609791	0.1761501
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.2946436	-0.5925613	0.0360897
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.3602563	-0.4497825	-0.2090624
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.4143960	-0.5332754	-0.2941363
sal + silicate	Indo-Pacific	(28.1, Inf]	0.0700197	-0.0337706	0.1445309
sal + temp	Atlantic	(-Inf,26]	0.9312414	0.8591490	0.9844820
sal + temp	Atlantic	(26,26.5]	0.9564821	0.9392321	0.9695122
sal + temp	Atlantic	(26.5,26.75]	0.9763887	0.9506495	0.9900962
sal + temp	Atlantic	(26.75,27]	0.9745250	0.9628134	0.9820249
sal + temp	Atlantic	(27,27.25]	0.9780303	0.9721562	0.9819724
sal + temp	Atlantic	(27.25,27.5]	0.9739232	0.9669992	0.9781627
sal + temp	Atlantic	(27.5,27.75]	0.9704151	0.9615261	0.9767182
sal + temp	Atlantic	(27.75,27.85]	0.9806523	0.9774862	0.9834031
sal + temp	Atlantic	(27.85,27.95]	0.9371851	0.9161248	0.9487478
sal + temp	Atlantic	(27.95,28.05]	0.8793359	0.8559057	0.9253806
sal + temp	Atlantic	(28.05,28.1]	0.9573871	0.9497255	0.9657388
sal + temp	Atlantic	(28.1,28.15]	0.9390582	0.9049582	0.9633386
sal + temp	Atlantic	(28.15,28.2]	0.8944367	0.8813598	0.9131500
sal + temp	Atlantic	(28.2, Inf]	0.4303027	0.1544147	0.9133460
sal + temp	Indo-Pacific	(-Inf,26]	0.7398627	0.7145873	0.7803531
sal + temp	Indo-Pacific	(26,26.5]	0.9188257	0.8847978	0.9438190
sal + temp	Indo-Pacific	(26.5,26.75]	0.9740744	0.9684333	0.9827552
sal + temp	Indo-Pacific	(26.75,27]	0.9737596	0.9707091	0.9790191
sal + temp	Indo-Pacific	(27,27.25]	0.9457814	0.9302365	0.9623591
sal + temp	Indo-Pacific	(27.25,27.5]	0.8755513	0.8246051	0.9491141
sal + temp	Indo-Pacific	(27.5,27.75]	0.8573822	0.7891683	0.9056885
sal + temp	Indo-Pacific	(27.75,27.85]	0.8061304	0.6489004	0.9314491
sal + temp	Indo-Pacific	(27.85,27.95]	0.7123931	0.4864068	0.8694643
sal + temp	Indo-Pacific	(27.95,28.05]	0.7368065	0.6500048	0.8229304
sal + temp	Indo-Pacific	(28.05,28.1]	0.7283663	0.6318139	0.7997330
sal + temp	Indo-Pacific	(28.1, Inf]	0.6759891	0.6235112	0.7245367
silicate + phosphate	Atlantic	(-Inf,26]	0.6991593	0.6620531	0.7452019
silicate + phosphate	Atlantic	(26,26.5]	0.9082288	0.8895051	0.9290438
silicate + phosphate	Atlantic	(26.5,26.75]	0.9473973	0.9049593	0.9695066
silicate + phosphate	Atlantic	(26.75,27]	0.9438814	0.9211506	0.9602382
silicate + phosphate	Atlantic	(27,27.25]	0.9540375	0.9374706	0.9709218
silicate + phosphate	Atlantic	(27.25,27.5]	0.9046445	0.8564823	0.9371412
silicate + phosphate	Atlantic	(27.5,27.75]	0.9045505	0.8998281	0.9112562
silicate + phosphate	Atlantic	(27.75,27.85]	0.9504842	0.9394868	0.9592426
silicate + phosphate	Atlantic	(27.85,27.95]	0.9685007	0.9639533	0.9735457
silicate + phosphate	Atlantic	(27.95,28.05]	0.9777718	0.9753404	0.9822894
silicate + phosphate	Atlantic	(28.05,28.1]	0.9877606	0.9853122	0.9906375
silicate + phosphate	Atlantic	(28.1,28.15]	0.9934451	0.9917976	0.9944634
silicate + phosphate	Atlantic	(28.15,28.2]	0.9936698	0.9876472	0.9984270
silicate + phosphate	Atlantic	(28.2, Inf]	0.9728873	0.9551086	0.9881547
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8026016	0.7575502	0.8258044
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7616424	0.6743702	0.8364844
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7586273	0.6189347	0.8445738
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8510847	0.8117554	0.8723796
silicate + phosphate	Indo-Pacific	(27,27.25]	0.8982709	0.8797706	0.9282697
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8746924	0.8424287	0.9211015
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8518611	0.8084083	0.8893430
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9433984	0.9148147	0.9609381
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9593165	0.9391642	0.9699054
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9572905	0.9461421	0.9629588
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9553378	0.9491794	0.9612477
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7721277	0.7043278	0.8256364
silicate + phosphate_star	Atlantic	(-Inf,26]	0.6510775	0.5829614	0.7169609
silicate + phosphate_star	Atlantic	(26,26.5]	0.8267419	0.7707957	0.9293396
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.7362384	0.6667326	0.8007092
silicate + phosphate_star	Atlantic	(26.75,27]	0.5594073	0.4174890	0.6474840
silicate + phosphate_star	Atlantic	(27,27.25]	0.7275379	0.6161854	0.8115917
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8638281	0.8494549	0.8774977
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.9083179	0.8969025	0.9222519
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9151342	0.9080523	0.9285485
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.8939584	0.8830955	0.9136526
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9269833	0.8906846	0.9627388
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9526664	0.9222297	0.9765725
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9680347	0.9445628	0.9849630
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9730633	0.9363659	0.9960531
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.8860504	0.8461480	0.9290460
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7803360	0.7412862	0.8414055
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7362980	0.6682817	0.7878529
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.7318889	0.6168592	0.8390331
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.6681496	0.4946609	0.7648954
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.3006775	0.0887584	0.4422341
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.2602204	-0.2687939	-0.2431963
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2422618	-0.3987062	-0.0018744
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4493048	-0.6018693	-0.3397989
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.0052175	-0.0149156	0.0441282
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.3358428	0.2403974	0.3896143
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.4497968	0.4405854	0.4576983
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.1356089	-0.1784578	-0.0799085
temp + aou	Atlantic	(-Inf,26]	-0.1646341	-0.4699105	0.3185172
temp + aou	Atlantic	(26,26.5]	-0.3234966	-0.6852733	-0.0541552
temp + aou	Atlantic	(26.5,26.75]	-0.3153582	-0.4894569	-0.1341365
temp + aou	Atlantic	(26.75,27]	-0.1565987	-0.2395583	-0.0485845
temp + aou	Atlantic	(27,27.25]	-0.2494900	-0.4840296	0.0021706
temp + aou	Atlantic	(27.25,27.5]	-0.2049864	-0.3358652	-0.0826683
temp + aou	Atlantic	(27.5,27.75]	-0.4021179	-0.4619917	-0.3705738
temp + aou	Atlantic	(27.75,27.85]	-0.3787001	-0.4227178	-0.3135530
temp + aou	Atlantic	(27.85,27.95]	-0.2358757	-0.3528102	-0.1586940
temp + aou	Atlantic	(27.95,28.05]	-0.4799691	-0.5221462	-0.3989468
temp + aou	Atlantic	(28.05,28.1]	-0.5986757	-0.6739178	-0.4942018
temp + aou	Atlantic	(28.1,28.15]	-0.6206447	-0.6932544	-0.5610319
temp + aou	Atlantic	(28.15,28.2]	-0.7079230	-0.8604840	-0.5079921
temp + aou	Atlantic	(28.2, Inf]	0.3410326	0.2049263	0.4223432
temp + aou	Indo-Pacific	(-Inf,26]	-0.3315072	-0.4356745	-0.2320947
temp + aou	Indo-Pacific	(26,26.5]	-0.2150125	-0.3105724	-0.0461769
temp + aou	Indo-Pacific	(26.5,26.75]	-0.0891930	-0.3299114	0.1968066
temp + aou	Indo-Pacific	(26.75,27]	-0.1485972	-0.3458590	0.0659306
temp + aou	Indo-Pacific	(27,27.25]	-0.0620066	-0.2806089	0.3031860
temp + aou	Indo-Pacific	(27.25,27.5]	0.1719860	0.0177840	0.4327494
temp + aou	Indo-Pacific	(27.5,27.75]	0.3911601	0.1895188	0.5110341
temp + aou	Indo-Pacific	(27.75,27.85]	0.0723857	-0.1930233	0.4196636
temp + aou	Indo-Pacific	(27.85,27.95]	0.0507546	-0.2131161	0.3293396
temp + aou	Indo-Pacific	(27.95,28.05]	0.1761222	0.1153345	0.2450144
temp + aou	Indo-Pacific	(28.05,28.1]	0.3005233	0.2574486	0.3273375
temp + aou	Indo-Pacific	(28.1, Inf]	0.8687848	0.8624768	0.8755701
temp + nitrate	Atlantic	(-Inf,26]	-0.2523733	-0.5748390	0.0887168
temp + nitrate	Atlantic	(26,26.5]	-0.6301844	-0.8667514	-0.4806639
temp + nitrate	Atlantic	(26.5,26.75]	-0.5602310	-0.6680358	-0.4174992
temp + nitrate	Atlantic	(26.75,27]	-0.4600738	-0.5473087	-0.2914892
temp + nitrate	Atlantic	(27,27.25]	-0.6129062	-0.7563819	-0.3976460
temp + nitrate	Atlantic	(27.25,27.5]	-0.7175126	-0.7650322	-0.6438655
temp + nitrate	Atlantic	(27.5,27.75]	-0.7001408	-0.7689845	-0.6147804
temp + nitrate	Atlantic	(27.75,27.85]	-0.5785537	-0.6581310	-0.4309340
temp + nitrate	Atlantic	(27.85,27.95]	-0.4439447	-0.5791117	-0.3568298
temp + nitrate	Atlantic	(27.95,28.05]	-0.5937712	-0.6972035	-0.5379649
temp + nitrate	Atlantic	(28.05,28.1]	-0.7073242	-0.7099648	-0.7033879
temp + nitrate	Atlantic	(28.1,28.15]	-0.7029079	-0.7538017	-0.6042425
temp + nitrate	Atlantic	(28.15,28.2]	-0.7478416	-0.8428796	-0.6498615
temp + nitrate	Atlantic	(28.2, Inf]	-0.1364494	-0.5926673	0.1238379
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5560879	-0.6919638	-0.4208907
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4868213	-0.6285261	-0.3887371
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.3709312	-0.6196076	-0.1657671
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4085752	-0.6008836	-0.2025496
temp + nitrate	Indo-Pacific	(27,27.25]	-0.2780021	-0.4281997	0.0003086
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.0129410	-0.1178268	0.0637149
temp + nitrate	Indo-Pacific	(27.5,27.75]	0.3803883	0.1214820	0.7329692
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.0549980	-0.2105819	0.1478244
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.0740142	-0.2431718	0.1065573
temp + nitrate	Indo-Pacific	(27.95,28.05]	-0.0269249	-0.0670264	0.0071601
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0656881	0.0559412	0.0757323
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.4375545	0.3541988	0.5408081
temp + phosphate	Atlantic	(-Inf,26]	-0.5696531	-0.6413374	-0.4549246
temp + phosphate	Atlantic	(26,26.5]	-0.7925771	-0.8677698	-0.7531989
temp + phosphate	Atlantic	(26.5,26.75]	-0.6873440	-0.7811880	-0.5331652
temp + phosphate	Atlantic	(26.75,27]	-0.5835193	-0.6645783	-0.4237815
temp + phosphate	Atlantic	(27,27.25]	-0.6931016	-0.8056884	-0.5253549
temp + phosphate	Atlantic	(27.25,27.5]	-0.7786014	-0.8194474	-0.7229560
temp + phosphate	Atlantic	(27.5,27.75]	-0.7424093	-0.8135125	-0.6542165
temp + phosphate	Atlantic	(27.75,27.85]	-0.6204327	-0.7031782	-0.4813111
temp + phosphate	Atlantic	(27.85,27.95]	-0.4703689	-0.5911157	-0.3927944
temp + phosphate	Atlantic	(27.95,28.05]	-0.6117896	-0.7090459	-0.5503735
temp + phosphate	Atlantic	(28.05,28.1]	-0.7232677	-0.7275888	-0.7183569
temp + phosphate	Atlantic	(28.1,28.15]	-0.7227940	-0.7683682	-0.6316600
temp + phosphate	Atlantic	(28.15,28.2]	-0.7514116	-0.8486275	-0.6606126
temp + phosphate	Atlantic	(28.2, Inf]	-0.1538945	-0.6250875	0.1145668
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4689919	-0.6088968	-0.3476982
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4127873	-0.5604353	-0.3010382
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3275476	-0.5827437	-0.1193804
temp + phosphate	Indo-Pacific	(26.75,27]	-0.3996654	-0.6076384	-0.1725154
temp + phosphate	Indo-Pacific	(27,27.25]	-0.2476141	-0.4090178	0.0731513
temp + phosphate	Indo-Pacific	(27.25,27.5]	0.0511943	-0.0952850	0.2181631
temp + phosphate	Indo-Pacific	(27.5,27.75]	0.4099378	0.2588034	0.6766322
temp + phosphate	Indo-Pacific	(27.75,27.85]	0.0348526	-0.1580430	0.3170315
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0271221	-0.2267189	0.2025967
temp + phosphate	Indo-Pacific	(27.95,28.05]	-0.0077935	-0.0522277	0.0300515
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.0697360	0.0638074	0.0799576
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.4171993	0.3123003	0.4864428
temp + phosphate_star	Atlantic	(-Inf,26]	-0.7500222	-0.8273877	-0.6468132
temp + phosphate_star	Atlantic	(26,26.5]	-0.9445487	-0.9664104	-0.9280986
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.9595937	-0.9781209	-0.9257287
temp + phosphate_star	Atlantic	(26.75,27]	-0.9751207	-0.9821922	-0.9681010
temp + phosphate_star	Atlantic	(27,27.25]	-0.9818426	-0.9834361	-0.9809383
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.9768795	-0.9788923	-0.9736738
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.9133685	-0.9466963	-0.8662156
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.8502891	-0.9043677	-0.7488691
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.7895718	-0.8461562	-0.7342260
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.7695785	-0.8670594	-0.6977461
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.8298884	-0.8818263	-0.7953406
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.8160714	-0.8827979	-0.7216991
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.7978207	-0.8490850	-0.7586960
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.4494188	-0.9201534	-0.1709218
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7369701	-0.8503201	-0.5688120
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.7595551	-0.8971967	-0.5812074
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8120698	-0.9274849	-0.6444331
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.9042580	-0.9588314	-0.8193012
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.8896189	-0.9252149	-0.8694700
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.6832306	-0.8403919	-0.4885593
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.1812109	-0.7471181	0.4270315
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4140262	-0.7466541	0.0265487
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5797964	-0.6946341	-0.3626224
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.7529794	-0.8240377	-0.6951650
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.6523613	-0.6584672	-0.6429374
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8987720	-0.9158018	-0.8788281
temp + silicate	Atlantic	(-Inf,26]	-0.6232981	-0.6778976	-0.5464948
temp + silicate	Atlantic	(26,26.5]	-0.7374699	-0.8493912	-0.6635388
temp + silicate	Atlantic	(26.5,26.75]	-0.6221116	-0.7159446	-0.4670495
temp + silicate	Atlantic	(26.75,27]	-0.4984655	-0.5901161	-0.3415681
temp + silicate	Atlantic	(27,27.25]	-0.6922782	-0.7758091	-0.5812627
temp + silicate	Atlantic	(27.25,27.5]	-0.8438333	-0.8503109	-0.8372471
temp + silicate	Atlantic	(27.5,27.75]	-0.7717041	-0.8005181	-0.7327896
temp + silicate	Atlantic	(27.75,27.85]	-0.6635834	-0.7116309	-0.5703230
temp + silicate	Atlantic	(27.85,27.95]	-0.5723441	-0.6789926	-0.5036138
temp + silicate	Atlantic	(27.95,28.05]	-0.6962206	-0.7573192	-0.6422293
temp + silicate	Atlantic	(28.05,28.1]	-0.7481254	-0.7681840	-0.7134703
temp + silicate	Atlantic	(28.1,28.15]	-0.7334912	-0.7800875	-0.6774468
temp + silicate	Atlantic	(28.15,28.2]	-0.7304565	-0.8535143	-0.5860886
temp + silicate	Atlantic	(28.2, Inf]	-0.1723353	-0.7301356	0.1114926
temp + silicate	Indo-Pacific	(-Inf,26]	-0.5932103	-0.7304072	-0.4256064
temp + silicate	Indo-Pacific	(26,26.5]	-0.5935035	-0.7053343	-0.4279478
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6280122	-0.7975332	-0.4311489
temp + silicate	Indo-Pacific	(26.75,27]	-0.6034920	-0.7536886	-0.3375438
temp + silicate	Indo-Pacific	(27,27.25]	-0.4089551	-0.6174890	-0.0853568
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.1435507	-0.2668107	0.0890194
temp + silicate	Indo-Pacific	(27.5,27.75]	0.1241296	-0.0301065	0.3068285
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.0579207	-0.2549297	0.2127343
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.0986788	-0.3070204	0.1220956
temp + silicate	Indo-Pacific	(27.95,28.05]	-0.0307200	-0.0763157	0.0106643
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1503246	0.1414937	0.1604721
temp + silicate	Indo-Pacific	(28.1, Inf]	0.3749068	0.3626336	0.3821373

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
3c2ec33	jens-daniel-mueller	2021-03-05
af70b94	jens-daniel-mueller	2021-03-04
7b672f7	jens-daniel-mueller	2021-01-11
33ba23c	jens-daniel-mueller	2021-01-07
318609d	jens-daniel-mueller	2020-12-23
9d0b2d0	jens-daniel-mueller	2020-12-23
0aa2b50	jens-daniel-mueller	2020-12-23
2886da0	jens-daniel-mueller	2020-12-19
02f0ee9	jens-daniel-mueller	2020-12-18
7bcb4eb	jens-daniel-mueller	2020-12-18
158fe26	jens-daniel-mueller	2020-12-15
7a9a4cb	jens-daniel-mueller	2020-12-15
61b263c	jens-daniel-mueller	2020-12-15
984697e	jens-daniel-mueller	2020-12-12
3ebff89	jens-daniel-mueller	2020-12-12
5d96d3c	jens-daniel-mueller	2020-12-11
24a632f	jens-daniel-mueller	2020-12-07
6a8004b	jens-daniel-mueller	2020-12-07
70bf1a5	jens-daniel-mueller	2020-12-07
7555355	jens-daniel-mueller	2020-12-07
143d6fa	jens-daniel-mueller	2020-12-07
090e4d5	jens-daniel-mueller	2020-12-02
0ff728b	jens-daniel-mueller	2020-12-01
91435ae	jens-daniel-mueller	2020-12-01
196be51	jens-daniel-mueller	2020-11-30
bc61ce3	Jens Müller	2020-11-30

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.4438120	0.1430413	0.6464333
aou	Atlantic	(26,26.5]	-0.1020646	-0.4274059	0.1909230
aou	Atlantic	(26.5,26.75]	-0.3082799	-0.3688976	-0.2490629
aou	Atlantic	(26.75,27]	-0.2408973	-0.3402775	-0.1435315
aou	Atlantic	(27,27.25]	-0.4695825	-0.6200839	-0.2623885
aou	Atlantic	(27.25,27.5]	-0.4712541	-0.5131884	-0.3910467
aou	Atlantic	(27.5,27.75]	-0.7868231	-0.8556798	-0.7324077
aou	Atlantic	(27.75,27.85]	-0.9010263	-0.9346482	-0.8747742
aou	Atlantic	(27.85,27.95]	-0.9199986	-0.9497060	-0.8927309
aou	Atlantic	(27.95,28.05]	-0.8868609	-0.9023210	-0.8765320
aou	Atlantic	(28.05,28.1]	-0.8660690	-0.8919272	-0.8498837
aou	Atlantic	(28.1,28.15]	-0.9046960	-0.9215223	-0.8947974
aou	Atlantic	(28.15,28.2]	-0.9440390	-0.9742581	-0.9281161
aou	Atlantic	(28.2, Inf]	-0.5802039	-0.8070162	-0.1766027
aou	Indo-Pacific	(-Inf,26]	-0.1849267	-0.4201040	-0.0295838
aou	Indo-Pacific	(26,26.5]	-0.5492696	-0.7518325	-0.1811420
aou	Indo-Pacific	(26.5,26.75]	-0.5531400	-0.7444650	-0.2052707
aou	Indo-Pacific	(26.75,27]	-0.5709546	-0.7972220	-0.2085502
aou	Indo-Pacific	(27,27.25]	0.0319586	-0.0840917	0.0948037
aou	Indo-Pacific	(27.25,27.5]	0.4483748	0.3350189	0.5924444
aou	Indo-Pacific	(27.5,27.75]	0.1767399	-0.2728490	0.4570313
aou	Indo-Pacific	(27.75,27.85]	0.7207754	0.5442311	0.8166080
aou	Indo-Pacific	(27.85,27.95]	0.6559836	0.4418934	0.7884078
aou	Indo-Pacific	(27.95,28.05]	0.4450428	0.2370338	0.6290748
aou	Indo-Pacific	(28.05,28.1]	0.2210024	0.1384769	0.3588303
aou	Indo-Pacific	(28.1, Inf]	0.3279579	0.1446185	0.6263979
nitrate	Atlantic	(-Inf,26]	0.1953596	-0.1097374	0.3813859
nitrate	Atlantic	(26,26.5]	-0.4148706	-0.6473823	-0.2335840
nitrate	Atlantic	(26.5,26.75]	-0.5395393	-0.5493536	-0.5317122
nitrate	Atlantic	(26.75,27]	-0.5112081	-0.6497657	-0.3594466
nitrate	Atlantic	(27,27.25]	-0.7653807	-0.8498208	-0.6127811
nitrate	Atlantic	(27.25,27.5]	-0.8868937	-0.9249490	-0.8546524
nitrate	Atlantic	(27.5,27.75]	-0.9647292	-0.9773188	-0.9477688
nitrate	Atlantic	(27.75,27.85]	-0.9594336	-0.9647554	-0.9527804
nitrate	Atlantic	(27.85,27.95]	-0.9321521	-0.9446868	-0.9136296
nitrate	Atlantic	(27.95,28.05]	-0.9086201	-0.9256504	-0.8910034
nitrate	Atlantic	(28.05,28.1]	-0.8945280	-0.9121179	-0.8746341
nitrate	Atlantic	(28.1,28.15]	-0.9290018	-0.9401889	-0.9190782
nitrate	Atlantic	(28.15,28.2]	-0.9679108	-0.9834867	-0.9427833
nitrate	Atlantic	(28.2, Inf]	-0.8933904	-0.9665146	-0.7639716
nitrate	Indo-Pacific	(-Inf,26]	-0.2193800	-0.4622411	-0.0721663
nitrate	Indo-Pacific	(26,26.5]	-0.6303713	-0.8354461	-0.2204309
nitrate	Indo-Pacific	(26.5,26.75]	-0.6484770	-0.8695714	-0.2500338
nitrate	Indo-Pacific	(26.75,27]	-0.6690318	-0.8659422	-0.2977148
nitrate	Indo-Pacific	(27,27.25]	-0.0378966	-0.1197423	0.0270733
nitrate	Indo-Pacific	(27.25,27.5]	0.3370966	0.1460220	0.5058926
nitrate	Indo-Pacific	(27.5,27.75]	-0.0534799	-0.6236669	0.4430631
nitrate	Indo-Pacific	(27.75,27.85]	0.6979920	0.5594155	0.7786065
nitrate	Indo-Pacific	(27.85,27.95]	0.6217281	0.4353164	0.7512211
nitrate	Indo-Pacific	(27.95,28.05]	0.3801460	0.1776873	0.5900425
nitrate	Indo-Pacific	(28.05,28.1]	0.1362238	0.0079694	0.3253514
nitrate	Indo-Pacific	(28.1, Inf]	0.1202943	-0.0450022	0.4116591
phosphate	Atlantic	(-Inf,26]	-0.1821357	-0.5366794	0.0525758
phosphate	Atlantic	(26,26.5]	-0.6142864	-0.7189747	-0.4851616
phosphate	Atlantic	(26.5,26.75]	-0.6594196	-0.6737267	-0.6358490
phosphate	Atlantic	(26.75,27]	-0.6373719	-0.7550179	-0.5027687
phosphate	Atlantic	(27,27.25]	-0.8391051	-0.9010063	-0.7288562
phosphate	Atlantic	(27.25,27.5]	-0.9292777	-0.9540806	-0.9114459
phosphate	Atlantic	(27.5,27.75]	-0.9808952	-0.9873202	-0.9718574
phosphate	Atlantic	(27.75,27.85]	-0.9718538	-0.9778661	-0.9661965
phosphate	Atlantic	(27.85,27.95]	-0.9483641	-0.9548330	-0.9405353
phosphate	Atlantic	(27.95,28.05]	-0.9242091	-0.9405291	-0.9130331
phosphate	Atlantic	(28.05,28.1]	-0.9086748	-0.9254491	-0.8994785
phosphate	Atlantic	(28.1,28.15]	-0.9353543	-0.9446730	-0.9282368
phosphate	Atlantic	(28.15,28.2]	-0.9732345	-0.9846602	-0.9537490
phosphate	Atlantic	(28.2, Inf]	-0.9209177	-0.9732891	-0.8252140
phosphate	Indo-Pacific	(-Inf,26]	-0.2224649	-0.5022898	-0.0509627
phosphate	Indo-Pacific	(26,26.5]	-0.7196509	-0.8625073	-0.4498934
phosphate	Indo-Pacific	(26.5,26.75]	-0.7409547	-0.8877851	-0.4750089
phosphate	Indo-Pacific	(26.75,27]	-0.7295000	-0.8803896	-0.4537930
phosphate	Indo-Pacific	(27,27.25]	-0.0923198	-0.1440035	-0.0306204
phosphate	Indo-Pacific	(27.25,27.5]	0.2878884	0.1623658	0.5057677
phosphate	Indo-Pacific	(27.5,27.75]	-0.0889410	-0.5429814	0.1656925
phosphate	Indo-Pacific	(27.75,27.85]	0.6327325	0.4312956	0.7405091
phosphate	Indo-Pacific	(27.85,27.95]	0.5558540	0.3005824	0.7219242
phosphate	Indo-Pacific	(27.95,28.05]	0.3059822	0.0456274	0.5510071
phosphate	Indo-Pacific	(28.05,28.1]	0.0502065	-0.1052207	0.2618122
phosphate	Indo-Pacific	(28.1, Inf]	-0.0208127	-0.2439040	0.3189911
phosphate_star	Atlantic	(-Inf,26]	-0.4954834	-0.6940746	-0.2473059
phosphate_star	Atlantic	(26,26.5]	-0.7844337	-0.8484055	-0.7434190
phosphate_star	Atlantic	(26.5,26.75]	-0.8747785	-0.9151385	-0.8256479
phosphate_star	Atlantic	(26.75,27]	-0.9300183	-0.9308038	-0.9292142
phosphate_star	Atlantic	(27,27.25]	-0.9534840	-0.9634264	-0.9476651
phosphate_star	Atlantic	(27.25,27.5]	-0.9572826	-0.9700242	-0.9489770
phosphate_star	Atlantic	(27.5,27.75]	-0.9376261	-0.9590527	-0.9179609
phosphate_star	Atlantic	(27.75,27.85]	-0.8904242	-0.9157928	-0.8641904
phosphate_star	Atlantic	(27.85,27.95]	-0.7898188	-0.8228230	-0.7472582
phosphate_star	Atlantic	(27.95,28.05]	-0.8512543	-0.8808539	-0.8115498
phosphate_star	Atlantic	(28.05,28.1]	-0.8763511	-0.8858700	-0.8638771
phosphate_star	Atlantic	(28.1,28.15]	-0.9104501	-0.9213798	-0.8928388
phosphate_star	Atlantic	(28.15,28.2]	-0.9695821	-0.9842960	-0.9553834
phosphate_star	Atlantic	(28.2, Inf]	-0.9143755	-0.9626824	-0.8448763
phosphate_star	Indo-Pacific	(-Inf,26]	-0.1262464	-0.4316476	0.0320854
phosphate_star	Indo-Pacific	(26,26.5]	-0.8003866	-0.8499203	-0.7427523
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7984611	-0.8855528	-0.6914032
phosphate_star	Indo-Pacific	(26.75,27]	-0.7231130	-0.8147463	-0.6315104
phosphate_star	Indo-Pacific	(27,27.25]	-0.2952095	-0.4731650	-0.0933567
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.4429386	-0.5065935	-0.3634912
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6612143	-0.8092352	-0.5504607
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.5398987	-0.7463689	-0.3178264
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.3437085	-0.3654200	-0.3014698
phosphate_star	Indo-Pacific	(27.95,28.05]	-0.2792324	-0.3686673	-0.1548189
phosphate_star	Indo-Pacific	(28.05,28.1]	-0.3534898	-0.5047678	-0.1639326
phosphate_star	Indo-Pacific	(28.1, Inf]	-0.5029560	-0.6605364	-0.3846395
sal	Atlantic	(-Inf,26]	0.2496677	0.1469348	0.3550466
sal	Atlantic	(26,26.5]	0.7117401	0.6328291	0.8309119
sal	Atlantic	(26.5,26.75]	0.7968480	0.7580287	0.8716292
sal	Atlantic	(26.75,27]	0.8830785	0.8589013	0.9009789
sal	Atlantic	(27,27.25]	0.9310620	0.9259409	0.9405074
sal	Atlantic	(27.25,27.5]	0.9182399	0.8975355	0.9394430
sal	Atlantic	(27.5,27.75]	0.7937677	0.7057135	0.8709491
sal	Atlantic	(27.75,27.85]	0.6060902	0.4515005	0.7070784
sal	Atlantic	(27.85,27.95]	0.3825435	0.2804322	0.4723371
sal	Atlantic	(27.95,28.05]	0.4647233	0.3109248	0.6488257
sal	Atlantic	(28.05,28.1]	0.6426497	0.5876054	0.6947203
sal	Atlantic	(28.1,28.15]	0.7560349	0.6978968	0.7902097
sal	Atlantic	(28.15,28.2]	0.8978053	0.8478729	0.9476362
sal	Atlantic	(28.2, Inf]	0.8732657	0.7729864	0.9376144
sal	Indo-Pacific	(-Inf,26]	0.0265813	0.0164679	0.0467258
sal	Indo-Pacific	(26,26.5]	0.3553135	0.0977207	0.6386736
sal	Indo-Pacific	(26.5,26.75]	0.4034876	0.1775696	0.7277240
sal	Indo-Pacific	(26.75,27]	0.3955970	0.2029873	0.6465649
sal	Indo-Pacific	(27,27.25]	-0.1873912	-0.4507515	0.0043789
sal	Indo-Pacific	(27.25,27.5]	-0.2953133	-0.5583645	0.0164719
sal	Indo-Pacific	(27.5,27.75]	-0.4883031	-0.8534950	-0.0854626
sal	Indo-Pacific	(27.75,27.85]	-0.3709262	-0.5417280	-0.2315826
sal	Indo-Pacific	(27.85,27.95]	-0.3468849	-0.5570327	-0.2284013
sal	Indo-Pacific	(27.95,28.05]	-0.0875838	-0.1923324	-0.0184717
sal	Indo-Pacific	(28.05,28.1]	0.0575495	-0.1064232	0.1433660
sal	Indo-Pacific	(28.1, Inf]	0.2781862	0.2472282	0.3315615
silicate	Atlantic	(-Inf,26]	-0.1759885	-0.4585950	-0.0217920
silicate	Atlantic	(26,26.5]	-0.5867481	-0.7297477	-0.4590475
silicate	Atlantic	(26.5,26.75]	-0.5942446	-0.6105701	-0.5801633
silicate	Atlantic	(26.75,27]	-0.5507480	-0.6551022	-0.4373708
silicate	Atlantic	(27,27.25]	-0.8211374	-0.8568761	-0.7632375
silicate	Atlantic	(27.25,27.5]	-0.8972639	-0.9161099	-0.8782038
silicate	Atlantic	(27.5,27.75]	-0.8899168	-0.8954368	-0.8833971
silicate	Atlantic	(27.75,27.85]	-0.8900650	-0.9064556	-0.8801240
silicate	Atlantic	(27.85,27.95]	-0.8721539	-0.8885933	-0.8549714
silicate	Atlantic	(27.95,28.05]	-0.8604467	-0.8907988	-0.8415395
silicate	Atlantic	(28.05,28.1]	-0.8676763	-0.8864281	-0.8550236
silicate	Atlantic	(28.1,28.15]	-0.9139061	-0.9236524	-0.9037466
silicate	Atlantic	(28.15,28.2]	-0.9608428	-0.9807500	-0.9401683
silicate	Atlantic	(28.2, Inf]	-0.8973636	-0.9432144	-0.8095535
silicate	Indo-Pacific	(-Inf,26]	-0.2546426	-0.5098552	-0.1175743
silicate	Indo-Pacific	(26,26.5]	-0.6083196	-0.7412218	-0.3765253
silicate	Indo-Pacific	(26.5,26.75]	-0.5931915	-0.7700271	-0.3816330
silicate	Indo-Pacific	(26.75,27]	-0.5451597	-0.6812725	-0.3395921
silicate	Indo-Pacific	(27,27.25]	0.1967025	0.1230585	0.2357900
silicate	Indo-Pacific	(27.25,27.5]	0.6091110	0.5101923	0.7497948
silicate	Indo-Pacific	(27.5,27.75]	0.2992555	-0.1134661	0.5380149
silicate	Indo-Pacific	(27.75,27.85]	0.7655759	0.6241548	0.8478506
silicate	Indo-Pacific	(27.85,27.95]	0.6487451	0.4394116	0.7832697
silicate	Indo-Pacific	(27.95,28.05]	0.4121446	0.1946157	0.6153938
silicate	Indo-Pacific	(28.05,28.1]	0.1465130	0.0248300	0.3032308
silicate	Indo-Pacific	(28.1, Inf]	0.0171979	-0.0998673	0.2362876
temp	Atlantic	(-Inf,26]	0.0779184	-0.1368452	0.2298415
temp	Atlantic	(26,26.5]	0.6608113	0.5424450	0.7810057
temp	Atlantic	(26.5,26.75]	0.7931826	0.7355024	0.8473236
temp	Atlantic	(26.75,27]	0.8604434	0.8462870	0.8757587
temp	Atlantic	(27,27.25]	0.9054072	0.8955219	0.9114414
temp	Atlantic	(27.25,27.5]	0.9037218	0.8917192	0.9244425
temp	Atlantic	(27.5,27.75]	0.7657326	0.6615809	0.8547583
temp	Atlantic	(27.75,27.85]	0.6028807	0.4344535	0.7112704
temp	Atlantic	(27.85,27.95]	0.3539752	0.2404714	0.4857765
temp	Atlantic	(27.95,28.05]	0.4477776	0.3682428	0.6059360
temp	Atlantic	(28.05,28.1]	0.5190023	0.4415678	0.5982798
temp	Atlantic	(28.1,28.15]	0.5445805	0.3711416	0.6509704
temp	Atlantic	(28.15,28.2]	0.6568388	0.5733273	0.7581155
temp	Atlantic	(28.2, Inf]	0.2081184	-0.1173936	0.6744391
temp	Indo-Pacific	(-Inf,26]	-0.2847999	-0.3555675	-0.2435607
temp	Indo-Pacific	(26,26.5]	0.3627373	0.0446066	0.6279003
temp	Indo-Pacific	(26.5,26.75]	0.4066392	0.1980710	0.7092140
temp	Indo-Pacific	(26.75,27]	0.4407363	0.2811225	0.6680485
temp	Indo-Pacific	(27,27.25]	-0.0797152	-0.3254998	0.0702286
temp	Indo-Pacific	(27.25,27.5]	-0.2702340	-0.5119702	0.0230751
temp	Indo-Pacific	(27.5,27.75]	-0.4995931	-0.8538181	-0.0743294
temp	Indo-Pacific	(27.75,27.85]	-0.3149249	-0.4838199	-0.2028014
temp	Indo-Pacific	(27.85,27.95]	-0.2461360	-0.4017644	-0.1504701
temp	Indo-Pacific	(27.95,28.05]	0.0260142	-0.0057451	0.0435882
temp	Indo-Pacific	(28.05,28.1]	0.1637524	0.1597224	0.1706402
temp	Indo-Pacific	(28.1, Inf]	0.3673626	0.1585934	0.6782741

rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()

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

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2    tidyverse_1.3.0 
[21] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_1.4-1         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.1.0               
[19] rvest_0.3.6              xml2_1.3.2               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_1.5             Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1

eMLR - assumption testing

Jens Daniel Müller

05 March, 2021