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html	61efb56	Donghe-Zhu	2021-01-25	Build site.
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1 Required data

Required are:

cleaned and prepared GLODAP-based synthetic cmorized model subsetting file

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

2 Predictor correlation

The correlation between:

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

were investigated based on:

property-property plots and
calculated correlation coefficients.

2.1 Correlation plots

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

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

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

Version	Author	Date
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Version	Author	Date
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

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

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

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

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

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

}

2.2 Correlation assessment

2.2.1 Calculation of correlation coeffcients

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

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

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

2.2.2 Predictor pairs

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

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

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

Version	Author	Date
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + nitrate	Atlantic	(-Inf,26]	0.8566630	0.8400495	0.8876974
aou + nitrate	Atlantic	(26,26.5]	0.9163122	0.9087094	0.9217067
aou + nitrate	Atlantic	(26.5,26.75]	0.9759958	0.9745391	0.9772222
aou + nitrate	Atlantic	(26.75,27]	0.9822101	0.9796944	0.9841504
aou + nitrate	Atlantic	(27,27.25]	0.9746215	0.9724008	0.9759149
aou + nitrate	Atlantic	(27.25,27.5]	0.9619867	0.9604882	0.9633083
aou + nitrate	Atlantic	(27.5,27.75]	0.9468773	0.9439636	0.9521034
aou + nitrate	Atlantic	(27.75,27.85]	0.9338769	0.9274717	0.9405932
aou + nitrate	Atlantic	(27.85,27.95]	0.9556122	0.9508667	0.9582242
aou + nitrate	Atlantic	(27.95,28.05]	0.9803160	0.9788123	0.9817860
aou + nitrate	Atlantic	(28.05,28.1]	0.9873415	0.9855308	0.9883489
aou + nitrate	Atlantic	(28.1,28.15]	0.9821324	0.9782446	0.9840905
aou + nitrate	Atlantic	(28.15,28.2]	0.9809093	0.9773507	0.9842836
aou + nitrate	Atlantic	(28.2, Inf]	0.9748264	0.9608779	0.9840164
aou + nitrate	Indo-Pacific	(-Inf,26]	0.9322999	0.9304671	0.9343005
aou + nitrate	Indo-Pacific	(26,26.5]	0.8484061	0.8451587	0.8524978
aou + nitrate	Indo-Pacific	(26.5,26.75]	0.7506296	0.7426987	0.7654359
aou + nitrate	Indo-Pacific	(26.75,27]	0.7721962	0.7675571	0.7781897
aou + nitrate	Indo-Pacific	(27,27.25]	0.8321903	0.8194506	0.8470953
aou + nitrate	Indo-Pacific	(27.25,27.5]	0.8742228	0.8694016	0.8778776
aou + nitrate	Indo-Pacific	(27.5,27.75]	0.9078012	0.9041108	0.9103513
aou + nitrate	Indo-Pacific	(27.75,27.85]	0.9651658	0.9616548	0.9690674
aou + nitrate	Indo-Pacific	(27.85,27.95]	0.9706265	0.9684145	0.9741000
aou + nitrate	Indo-Pacific	(27.95,28.05]	0.9890090	0.9884545	0.9898507
aou + nitrate	Indo-Pacific	(28.05,28.1]	0.9882938	0.9878425	0.9890858
aou + nitrate	Indo-Pacific	(28.1, Inf]	0.9919209	0.9916958	0.9920920
aou + nitrate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + nitrate	SO	(26,26.5]	0.8568559	0.8554033	0.8587329
aou + nitrate	SO	(26.5,26.75]	0.7744700	0.7523308	0.7982383
aou + nitrate	SO	(26.75,27]	0.7915649	0.7834446	0.7964963
aou + nitrate	SO	(27,27.25]	0.7791669	0.7718938	0.7914246
aou + nitrate	SO	(27.25,27.5]	0.7732450	0.7606236	0.7836028
aou + nitrate	SO	(27.5,27.75]	0.8728350	0.8702390	0.8779041
aou + nitrate	SO	(27.75,27.85]	0.9621865	0.9582471	0.9656387
aou + nitrate	SO	(27.85,27.95]	0.9042467	0.8964261	0.9192095
aou + nitrate	SO	(27.95,28.05]	0.7759117	0.7696486	0.7876298
aou + nitrate	SO	(28.05,28.1]	0.7298361	0.7150487	0.7453870
aou + nitrate	SO	(28.1, Inf]	0.8850795	0.8746249	0.8942142
aou + nitrate	SO	(28.1,28.15]	0.3279665	0.3202445	0.3414051
aou + nitrate	SO	(28.15,28.2]	0.2863881	0.2515655	0.3171609
aou + nitrate	SO	(28.2, Inf]	0.4797057	0.4573807	0.5014155
aou + phosphate	Atlantic	(-Inf,26]	0.9292515	0.9194106	0.9399366
aou + phosphate	Atlantic	(26,26.5]	0.8918596	0.8908021	0.8924942
aou + phosphate	Atlantic	(26.5,26.75]	0.9550546	0.9502962	0.9579237
aou + phosphate	Atlantic	(26.75,27]	0.9683534	0.9663413	0.9700964
aou + phosphate	Atlantic	(27,27.25]	0.9532612	0.9526505	0.9543808
aou + phosphate	Atlantic	(27.25,27.5]	0.9411886	0.9389894	0.9424274
aou + phosphate	Atlantic	(27.5,27.75]	0.9279364	0.9239991	0.9346766
aou + phosphate	Atlantic	(27.75,27.85]	0.9156667	0.9074153	0.9244580
aou + phosphate	Atlantic	(27.85,27.95]	0.9420057	0.9358413	0.9451830
aou + phosphate	Atlantic	(27.95,28.05]	0.9738601	0.9715931	0.9755992
aou + phosphate	Atlantic	(28.05,28.1]	0.9866780	0.9849364	0.9875935
aou + phosphate	Atlantic	(28.1,28.15]	0.9811456	0.9769499	0.9836045
aou + phosphate	Atlantic	(28.15,28.2]	0.9800417	0.9747126	0.9854717
aou + phosphate	Atlantic	(28.2, Inf]	0.9750403	0.9625385	0.9831994
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9667161	0.9659406	0.9678699
aou + phosphate	Indo-Pacific	(26,26.5]	0.9586305	0.9576563	0.9596895
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9674434	0.9662756	0.9686972
aou + phosphate	Indo-Pacific	(26.75,27]	0.9625524	0.9624858	0.9626099
aou + phosphate	Indo-Pacific	(27,27.25]	0.9806984	0.9805875	0.9808488
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9830734	0.9814516	0.9844446
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9844817	0.9838691	0.9848311
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9925349	0.9919938	0.9932753
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9939917	0.9936692	0.9943233
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9976339	0.9974125	0.9978953
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9980514	0.9979909	0.9981599
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.9973556	0.9973015	0.9974456
aou + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate	SO	(26,26.5]	0.7944562	0.7894543	0.7998643
aou + phosphate	SO	(26.5,26.75]	0.7410214	0.7159951	0.7639681
aou + phosphate	SO	(26.75,27]	0.7913226	0.7777242	0.7992584
aou + phosphate	SO	(27,27.25]	0.7725463	0.7652941	0.7849281
aou + phosphate	SO	(27.25,27.5]	0.7583418	0.7445291	0.7688158
aou + phosphate	SO	(27.5,27.75]	0.8712228	0.8684501	0.8764147
aou + phosphate	SO	(27.75,27.85]	0.9599818	0.9554166	0.9634614
aou + phosphate	SO	(27.85,27.95]	0.8997112	0.8913716	0.9161765
aou + phosphate	SO	(27.95,28.05]	0.7498961	0.7422674	0.7628353
aou + phosphate	SO	(28.05,28.1]	0.7260020	0.7101001	0.7409405
aou + phosphate	SO	(28.1, Inf]	0.8454436	0.8297735	0.8578745
aou + phosphate	SO	(28.1,28.15]	0.3324721	0.3219205	0.3463815
aou + phosphate	SO	(28.15,28.2]	0.3121488	0.2826786	0.3349097
aou + phosphate	SO	(28.2, Inf]	0.5316471	0.4984793	0.5690238
aou + phosphate_star	Atlantic	(-Inf,26]	0.2394828	0.1624787	0.2829947
aou + phosphate_star	Atlantic	(26,26.5]	0.3825528	0.3434901	0.4052700
aou + phosphate_star	Atlantic	(26.5,26.75]	0.1969379	0.1502583	0.2298211
aou + phosphate_star	Atlantic	(26.75,27]	0.0699011	0.0370803	0.0908958
aou + phosphate_star	Atlantic	(27,27.25]	0.2773418	0.2400605	0.3062876
aou + phosphate_star	Atlantic	(27.25,27.5]	0.4548091	0.4266543	0.4783131
aou + phosphate_star	Atlantic	(27.5,27.75]	0.5061515	0.4929357	0.5148537
aou + phosphate_star	Atlantic	(27.75,27.85]	0.6714456	0.6549118	0.7029983
aou + phosphate_star	Atlantic	(27.85,27.95]	0.7803325	0.7606091	0.7989737
aou + phosphate_star	Atlantic	(27.95,28.05]	0.9063208	0.8975830	0.9139302
aou + phosphate_star	Atlantic	(28.05,28.1]	0.9605439	0.9550249	0.9649380
aou + phosphate_star	Atlantic	(28.1,28.15]	0.9444733	0.9380883	0.9480959
aou + phosphate_star	Atlantic	(28.15,28.2]	0.9370098	0.9267931	0.9478345
aou + phosphate_star	Atlantic	(28.2, Inf]	0.9569177	0.9422620	0.9652000
aou + phosphate_star	Indo-Pacific	(-Inf,26]	0.5880407	0.5807937	0.5971167
aou + phosphate_star	Indo-Pacific	(26,26.5]	0.4168363	0.4125618	0.4192650
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	0.4312481	0.4110138	0.4455310
aou + phosphate_star	Indo-Pacific	(26.75,27]	0.5362488	0.5310002	0.5415870
aou + phosphate_star	Indo-Pacific	(27,27.25]	0.7137447	0.7020904	0.7319147
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	0.6724905	0.6506658	0.6998512
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	0.4767254	0.4605708	0.4958464
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	0.4164044	0.3798618	0.4351467
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4296771	0.4241285	0.4372651
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5414850	0.5319100	0.5496837
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6534814	0.6403848	0.6644527
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2198988	0.2058503	0.2359970
aou + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
aou + phosphate_star	SO	(26,26.5]	-0.5036721	-0.5691982	-0.4496424
aou + phosphate_star	SO	(26.5,26.75]	-0.1319567	-0.2485097	-0.0442656
aou + phosphate_star	SO	(26.75,27]	0.2301242	0.2056423	0.2674763
aou + phosphate_star	SO	(27,27.25]	0.0993379	0.0607571	0.1274723
aou + phosphate_star	SO	(27.25,27.5]	-0.3696754	-0.3928739	-0.3552684
aou + phosphate_star	SO	(27.5,27.75]	-0.4798755	-0.5141261	-0.4495177
aou + phosphate_star	SO	(27.75,27.85]	-0.8545990	-0.8592429	-0.8513104
aou + phosphate_star	SO	(27.85,27.95]	-0.8052536	-0.8121923	-0.7991602
aou + phosphate_star	SO	(27.95,28.05]	-0.8817193	-0.8842516	-0.8780174
aou + phosphate_star	SO	(28.05,28.1]	-0.8599477	-0.8708064	-0.8486554
aou + phosphate_star	SO	(28.1, Inf]	-0.5100565	-0.5385907	-0.4939665
aou + phosphate_star	SO	(28.1,28.15]	-0.6172206	-0.6229616	-0.6078300
aou + phosphate_star	SO	(28.15,28.2]	-0.4404331	-0.5241561	-0.3327868
aou + phosphate_star	SO	(28.2, Inf]	-0.0574317	-0.0682076	-0.0497003
aou + silicate	Atlantic	(-Inf,26]	0.1177800	0.0428611	0.1985943
aou + silicate	Atlantic	(26,26.5]	0.2657538	0.2320134	0.2901347
aou + silicate	Atlantic	(26.5,26.75]	0.6152006	0.5893889	0.6405340
aou + silicate	Atlantic	(26.75,27]	0.7707217	0.7631254	0.7827178
aou + silicate	Atlantic	(27,27.25]	0.7788349	0.7716817	0.7850344
aou + silicate	Atlantic	(27.25,27.5]	0.7596487	0.7521590	0.7640465
aou + silicate	Atlantic	(27.5,27.75]	0.7328726	0.7220062	0.7486987
aou + silicate	Atlantic	(27.75,27.85]	0.6555878	0.6344291	0.6844127
aou + silicate	Atlantic	(27.85,27.95]	0.7245001	0.6990582	0.7447593
aou + silicate	Atlantic	(27.95,28.05]	0.8565606	0.8388318	0.8664876
aou + silicate	Atlantic	(28.05,28.1]	0.9326107	0.9227914	0.9400594
aou + silicate	Atlantic	(28.1,28.15]	0.9481697	0.9426615	0.9575460
aou + silicate	Atlantic	(28.15,28.2]	0.9264100	0.9227627	0.9320682
aou + silicate	Atlantic	(28.2, Inf]	0.9450983	0.9410217	0.9488752
aou + silicate	Indo-Pacific	(-Inf,26]	0.8361597	0.8329494	0.8385872
aou + silicate	Indo-Pacific	(26,26.5]	0.7667034	0.7661043	0.7672471
aou + silicate	Indo-Pacific	(26.5,26.75]	0.7442450	0.7396327	0.7505051
aou + silicate	Indo-Pacific	(26.75,27]	0.8131855	0.8129947	0.8135051
aou + silicate	Indo-Pacific	(27,27.25]	0.8890653	0.8860516	0.8928669
aou + silicate	Indo-Pacific	(27.25,27.5]	0.9165553	0.9143115	0.9203260
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9102748	0.9069478	0.9136746
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9408456	0.9402005	0.9417271
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9362138	0.9345819	0.9380852
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9742973	0.9730109	0.9758220
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9753401	0.9751122	0.9754986
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6980777	0.6917099	0.7076743
aou + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
aou + silicate	SO	(26,26.5]	0.8937502	0.8772280	0.9082599
aou + silicate	SO	(26.5,26.75]	0.8767816	0.8645433	0.8868266
aou + silicate	SO	(26.75,27]	0.8702262	0.8670045	0.8725836
aou + silicate	SO	(27,27.25]	0.8278403	0.8215977	0.8352930
aou + silicate	SO	(27.25,27.5]	0.7678315	0.7511988	0.7764526
aou + silicate	SO	(27.5,27.75]	0.8534425	0.8506387	0.8578851
aou + silicate	SO	(27.75,27.85]	0.9400503	0.9353270	0.9434842
aou + silicate	SO	(27.85,27.95]	0.8787873	0.8670282	0.8930066
aou + silicate	SO	(27.95,28.05]	0.7268324	0.7214169	0.7369460
aou + silicate	SO	(28.05,28.1]	0.8042221	0.7920192	0.8116405
aou + silicate	SO	(28.1, Inf]	0.4850414	0.4579989	0.5048545
aou + silicate	SO	(28.1,28.15]	0.7402889	0.7312782	0.7548997
aou + silicate	SO	(28.15,28.2]	0.8119313	0.8038317	0.8204381
aou + silicate	SO	(28.2, Inf]	0.5327625	0.4924220	0.5830179
nitrate + phosphate	Atlantic	(-Inf,26]	0.6913320	0.6358544	0.7735436
nitrate + phosphate	Atlantic	(26,26.5]	0.8269090	0.8135195	0.8448715
nitrate + phosphate	Atlantic	(26.5,26.75]	0.9676769	0.9658054	0.9687236
nitrate + phosphate	Atlantic	(26.75,27]	0.9807959	0.9798655	0.9816512
nitrate + phosphate	Atlantic	(27,27.25]	0.9903223	0.9897895	0.9909468
nitrate + phosphate	Atlantic	(27.25,27.5]	0.9954278	0.9951411	0.9957915
nitrate + phosphate	Atlantic	(27.5,27.75]	0.9967153	0.9966240	0.9967619
nitrate + phosphate	Atlantic	(27.75,27.85]	0.9986322	0.9984889	0.9987960
nitrate + phosphate	Atlantic	(27.85,27.95]	0.9987986	0.9987452	0.9988428
nitrate + phosphate	Atlantic	(27.95,28.05]	0.9988440	0.9986872	0.9989879
nitrate + phosphate	Atlantic	(28.05,28.1]	0.9993944	0.9993416	0.9994240
nitrate + phosphate	Atlantic	(28.1,28.15]	0.9990020	0.9989015	0.9991570
nitrate + phosphate	Atlantic	(28.15,28.2]	0.9922700	0.9921224	0.9924727
nitrate + phosphate	Atlantic	(28.2, Inf]	0.9966582	0.9963699	0.9971523
nitrate + phosphate	Indo-Pacific	(-Inf,26]	0.9545493	0.9524449	0.9577585
nitrate + phosphate	Indo-Pacific	(26,26.5]	0.8669960	0.8648067	0.8712859
nitrate + phosphate	Indo-Pacific	(26.5,26.75]	0.7775554	0.7680198	0.7941013
nitrate + phosphate	Indo-Pacific	(26.75,27]	0.8100468	0.8026989	0.8176263
nitrate + phosphate	Indo-Pacific	(27,27.25]	0.8419228	0.8265281	0.8578280
nitrate + phosphate	Indo-Pacific	(27.25,27.5]	0.8744221	0.8704386	0.8772439
nitrate + phosphate	Indo-Pacific	(27.5,27.75]	0.9196678	0.9175879	0.9225627
nitrate + phosphate	Indo-Pacific	(27.75,27.85]	0.9762170	0.9735512	0.9790053
nitrate + phosphate	Indo-Pacific	(27.85,27.95]	0.9859126	0.9847079	0.9879060
nitrate + phosphate	Indo-Pacific	(27.95,28.05]	0.9958291	0.9956938	0.9960707
nitrate + phosphate	Indo-Pacific	(28.05,28.1]	0.9944340	0.9941162	0.9949190
nitrate + phosphate	Indo-Pacific	(28.1, Inf]	0.9953354	0.9951092	0.9954665
nitrate + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate	SO	(26,26.5]	0.9750746	0.9700949	0.9785255
nitrate + phosphate	SO	(26.5,26.75]	0.9772417	0.9705299	0.9815729
nitrate + phosphate	SO	(26.75,27]	0.9923432	0.9919563	0.9927759
nitrate + phosphate	SO	(27,27.25]	0.9974611	0.9972351	0.9977264
nitrate + phosphate	SO	(27.25,27.5]	0.9983349	0.9982230	0.9984766
nitrate + phosphate	SO	(27.5,27.75]	0.9989155	0.9989127	0.9989199
nitrate + phosphate	SO	(27.75,27.85]	0.9985438	0.9984287	0.9986969
nitrate + phosphate	SO	(27.85,27.95]	0.9972564	0.9970879	0.9974191
nitrate + phosphate	SO	(27.95,28.05]	0.9953707	0.9952088	0.9955859
nitrate + phosphate	SO	(28.05,28.1]	0.9953582	0.9949869	0.9956418
nitrate + phosphate	SO	(28.1, Inf]	0.9660656	0.9659173	0.9662587
nitrate + phosphate	SO	(28.1,28.15]	0.9983149	0.9982183	0.9984125
nitrate + phosphate	SO	(28.15,28.2]	0.9983471	0.9979835	0.9988618
nitrate + phosphate	SO	(28.2, Inf]	0.9468245	0.9462909	0.9475729
nitrate + phosphate_star	Atlantic	(-Inf,26]	0.1391998	0.0453209	0.2437980
nitrate + phosphate_star	Atlantic	(26,26.5]	0.3895227	0.3430944	0.4276952
nitrate + phosphate_star	Atlantic	(26.5,26.75]	0.2992218	0.2531145	0.3301369
nitrate + phosphate_star	Atlantic	(26.75,27]	0.1773824	0.1403560	0.2090179
nitrate + phosphate_star	Atlantic	(27,27.25]	0.4502054	0.4137401	0.4807827
nitrate + phosphate_star	Atlantic	(27.25,27.5]	0.6606615	0.6308035	0.6823538
nitrate + phosphate_star	Atlantic	(27.5,27.75]	0.7236786	0.7186111	0.7331943
nitrate + phosphate_star	Atlantic	(27.75,27.85]	0.8871655	0.8771393	0.8981105
nitrate + phosphate_star	Atlantic	(27.85,27.95]	0.9259267	0.9205320	0.9335342
nitrate + phosphate_star	Atlantic	(27.95,28.05]	0.9665729	0.9628387	0.9696859
nitrate + phosphate_star	Atlantic	(28.05,28.1]	0.9870526	0.9853362	0.9885878
nitrate + phosphate_star	Atlantic	(28.1,28.15]	0.9848015	0.9846042	0.9851771
nitrate + phosphate_star	Atlantic	(28.15,28.2]	0.9723221	0.9706470	0.9744003
nitrate + phosphate_star	Atlantic	(28.2, Inf]	0.9908656	0.9895979	0.9919531
nitrate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7302790	0.7281554	0.7336191
nitrate + phosphate_star	Indo-Pacific	(26,26.5]	0.5635919	0.5605722	0.5680771
nitrate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.5552766	0.5495069	0.5628899
nitrate + phosphate_star	Indo-Pacific	(26.75,27]	0.6603871	0.6488832	0.6675604
nitrate + phosphate_star	Indo-Pacific	(27,27.25]	0.7577903	0.7385741	0.7759874
nitrate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7047411	0.6896930	0.7222581
nitrate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.5984352	0.5798768	0.6170396
nitrate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5327588	0.4995948	0.5504646
nitrate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5748661	0.5689880	0.5792879
nitrate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.6512378	0.6451119	0.6547096
nitrate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.7532741	0.7432389	0.7640570
nitrate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.3130010	0.2999441	0.3276372
nitrate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
nitrate + phosphate_star	SO	(26,26.5]	-0.0198899	-0.0970052	0.0431588
nitrate + phosphate_star	SO	(26.5,26.75]	0.4799824	0.3308968	0.5655976
nitrate + phosphate_star	SO	(26.75,27]	0.7556309	0.7451742	0.7733722
nitrate + phosphate_star	SO	(27,27.25]	0.6944440	0.6721427	0.7111254
nitrate + phosphate_star	SO	(27.25,27.5]	0.3001348	0.2727734	0.3283810
nitrate + phosphate_star	SO	(27.5,27.75]	0.0064835	-0.0433659	0.0464193
nitrate + phosphate_star	SO	(27.75,27.85]	-0.6919958	-0.6987378	-0.6883522
nitrate + phosphate_star	SO	(27.85,27.95]	-0.4938414	-0.5225795	-0.4700514
nitrate + phosphate_star	SO	(27.95,28.05]	-0.3973811	-0.4069484	-0.3902665
nitrate + phosphate_star	SO	(28.05,28.1]	-0.2864503	-0.3290754	-0.2642849
nitrate + phosphate_star	SO	(28.1, Inf]	-0.0980005	-0.1539394	-0.0536965
nitrate + phosphate_star	SO	(28.1,28.15]	0.5391009	0.5207984	0.5559448
nitrate + phosphate_star	SO	(28.15,28.2]	0.7300985	0.6910906	0.7877661
nitrate + phosphate_star	SO	(28.2, Inf]	0.8211420	0.8118035	0.8369993
nitrate + silicate	Atlantic	(-Inf,26]	0.5921507	0.5624675	0.6098511
nitrate + silicate	Atlantic	(26,26.5]	0.5594234	0.5497191	0.5645305
nitrate + silicate	Atlantic	(26.5,26.75]	0.6974547	0.6747752	0.7217900
nitrate + silicate	Atlantic	(26.75,27]	0.8379768	0.8288988	0.8448331
nitrate + silicate	Atlantic	(27,27.25]	0.8903668	0.8837577	0.8940127
nitrate + silicate	Atlantic	(27.25,27.5]	0.9016375	0.8997245	0.9041236
nitrate + silicate	Atlantic	(27.5,27.75]	0.9073736	0.9044074	0.9102577
nitrate + silicate	Atlantic	(27.75,27.85]	0.8752576	0.8703923	0.8841603
nitrate + silicate	Atlantic	(27.85,27.95]	0.8795336	0.8708814	0.8900490
nitrate + silicate	Atlantic	(27.95,28.05]	0.9097358	0.8981812	0.9164811
nitrate + silicate	Atlantic	(28.05,28.1]	0.9388669	0.9303721	0.9438850
nitrate + silicate	Atlantic	(28.1,28.15]	0.9527421	0.9447871	0.9633785
nitrate + silicate	Atlantic	(28.15,28.2]	0.9254260	0.9236115	0.9275145
nitrate + silicate	Atlantic	(28.2, Inf]	0.9547523	0.9536439	0.9556904
nitrate + silicate	Indo-Pacific	(-Inf,26]	0.8591998	0.8567964	0.8616736
nitrate + silicate	Indo-Pacific	(26,26.5]	0.7881389	0.7827572	0.7968731
nitrate + silicate	Indo-Pacific	(26.5,26.75]	0.8087510	0.8031455	0.8166973
nitrate + silicate	Indo-Pacific	(26.75,27]	0.8439984	0.8383042	0.8481140
nitrate + silicate	Indo-Pacific	(27,27.25]	0.8976533	0.8886607	0.9064227
nitrate + silicate	Indo-Pacific	(27.25,27.5]	0.9148072	0.9140664	0.9154017
nitrate + silicate	Indo-Pacific	(27.5,27.75]	0.9363526	0.9341787	0.9387969
nitrate + silicate	Indo-Pacific	(27.75,27.85]	0.9587638	0.9581964	0.9593730
nitrate + silicate	Indo-Pacific	(27.85,27.95]	0.9554786	0.9544732	0.9570458
nitrate + silicate	Indo-Pacific	(27.95,28.05]	0.9674253	0.9659176	0.9691595
nitrate + silicate	Indo-Pacific	(28.05,28.1]	0.9577569	0.9574411	0.9581114
nitrate + silicate	Indo-Pacific	(28.1, Inf]	0.7267426	0.7202751	0.7347959
nitrate + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
nitrate + silicate	SO	(26,26.5]	0.7731275	0.7564597	0.8019634
nitrate + silicate	SO	(26.5,26.75]	0.6167972	0.5918359	0.6485735
nitrate + silicate	SO	(26.75,27]	0.7511132	0.7323331	0.7631731
nitrate + silicate	SO	(27,27.25]	0.9068148	0.9038235	0.9124638
nitrate + silicate	SO	(27.25,27.5]	0.9603341	0.9579961	0.9622367
nitrate + silicate	SO	(27.5,27.75]	0.9610396	0.9597140	0.9625404
nitrate + silicate	SO	(27.75,27.85]	0.9663322	0.9649523	0.9680562
nitrate + silicate	SO	(27.85,27.95]	0.9451422	0.9430206	0.9491469
nitrate + silicate	SO	(27.95,28.05]	0.9188747	0.9136756	0.9233371
nitrate + silicate	SO	(28.05,28.1]	0.8785380	0.8740270	0.8811259
nitrate + silicate	SO	(28.1, Inf]	0.5649396	0.5561417	0.5713390
nitrate + silicate	SO	(28.1,28.15]	0.7239519	0.7164234	0.7377907
nitrate + silicate	SO	(28.15,28.2]	0.6095872	0.5695108	0.6586881
nitrate + silicate	SO	(28.2, Inf]	0.6841514	0.6586009	0.7128353
phosphate + phosphate_star	Atlantic	(-Inf,26]	0.5250520	0.4582282	0.5774083
phosphate + phosphate_star	Atlantic	(26,26.5]	0.7468191	0.7204507	0.7615342
phosphate + phosphate_star	Atlantic	(26.5,26.75]	0.4730604	0.4442784	0.4970619
phosphate + phosphate_star	Atlantic	(26.75,27]	0.3102424	0.2776192	0.3387491
phosphate + phosphate_star	Atlantic	(27,27.25]	0.5476647	0.5166870	0.5740638
phosphate + phosphate_star	Atlantic	(27.25,27.5]	0.7204819	0.6947534	0.7379421
phosphate + phosphate_star	Atlantic	(27.5,27.75]	0.7730522	0.7676398	0.7815403
phosphate + phosphate_star	Atlantic	(27.75,27.85]	0.9096246	0.9008176	0.9182068
phosphate + phosphate_star	Atlantic	(27.85,27.95]	0.9424984	0.9384571	0.9493874
phosphate + phosphate_star	Atlantic	(27.95,28.05]	0.9759483	0.9735210	0.9783113
phosphate + phosphate_star	Atlantic	(28.05,28.1]	0.9909004	0.9895883	0.9921176
phosphate + phosphate_star	Atlantic	(28.1,28.15]	0.9888308	0.9887289	0.9888870
phosphate + phosphate_star	Atlantic	(28.15,28.2]	0.9868211	0.9860881	0.9876876
phosphate + phosphate_star	Atlantic	(28.2, Inf]	0.9958206	0.9953405	0.9962060
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7602701	0.7565811	0.7644664
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	0.6529099	0.6497667	0.6567376
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.6379459	0.6251869	0.6453229
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	0.7289505	0.7239668	0.7320661
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	0.8263746	0.8174239	0.8393559
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.7892481	0.7749331	0.8082664
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6169488	0.6016987	0.6361282
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5144756	0.4757728	0.5363996
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5193014	0.5126302	0.5249328
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5948842	0.5882639	0.5996288
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6962884	0.6847333	0.7072233
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.2872045	0.2738266	0.3037285
phosphate + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
phosphate + phosphate_star	SO	(26,26.5]	0.1147371	0.0457051	0.1683294
phosphate + phosphate_star	SO	(26.5,26.75]	0.5584515	0.4285595	0.6309744
phosphate + phosphate_star	SO	(26.75,27]	0.7731425	0.7592313	0.7887607
phosphate + phosphate_star	SO	(27,27.25]	0.7069676	0.6851688	0.7226229
phosphate + phosphate_star	SO	(27.25,27.5]	0.3242316	0.2957088	0.3531693
phosphate + phosphate_star	SO	(27.5,27.75]	0.0092692	-0.0409535	0.0497413
phosphate + phosphate_star	SO	(27.75,27.85]	-0.6854286	-0.6921748	-0.6804070
phosphate + phosphate_star	SO	(27.85,27.95]	-0.4866725	-0.5180352	-0.4617424
phosphate + phosphate_star	SO	(27.95,28.05]	-0.3636282	-0.3744876	-0.3547859
phosphate + phosphate_star	SO	(28.05,28.1]	-0.2868124	-0.3286409	-0.2645958
phosphate + phosphate_star	SO	(28.1, Inf]	0.0174964	-0.0399401	0.0660768
phosphate + phosphate_star	SO	(28.1,28.15]	0.5324961	0.5136905	0.5518180
phosphate + phosphate_star	SO	(28.15,28.2]	0.7092205	0.6651910	0.7744121
phosphate + phosphate_star	SO	(28.2, Inf]	0.8037443	0.7826430	0.8276087
sal + aou	Atlantic	(-Inf,26]	-0.4062646	-0.4569132	-0.3689498
sal + aou	Atlantic	(26,26.5]	-0.3587065	-0.3971738	-0.3294777
sal + aou	Atlantic	(26.5,26.75]	0.2590049	0.2455175	0.2852460
sal + aou	Atlantic	(26.75,27]	0.3932671	0.3762970	0.4177356
sal + aou	Atlantic	(27,27.25]	0.2450274	0.1946646	0.3014165
sal + aou	Atlantic	(27.25,27.5]	0.1412752	0.0865628	0.2057749
sal + aou	Atlantic	(27.5,27.75]	0.5448808	0.5253505	0.5751628
sal + aou	Atlantic	(27.75,27.85]	0.2766329	0.1962433	0.3552646
sal + aou	Atlantic	(27.85,27.95]	0.1962009	0.1512895	0.2690598
sal + aou	Atlantic	(27.95,28.05]	-0.1925291	-0.2629853	-0.1168035
sal + aou	Atlantic	(28.05,28.1]	-0.6189397	-0.6277769	-0.6061334
sal + aou	Atlantic	(28.1,28.15]	-0.8610865	-0.8901876	-0.8159710
sal + aou	Atlantic	(28.15,28.2]	-0.7857065	-0.7882410	-0.7820209
sal + aou	Atlantic	(28.2, Inf]	-0.9466600	-0.9563082	-0.9300260
sal + aou	Indo-Pacific	(-Inf,26]	-0.2331820	-0.2383106	-0.2297260
sal + aou	Indo-Pacific	(26,26.5]	-0.1544975	-0.1573811	-0.1491021
sal + aou	Indo-Pacific	(26.5,26.75]	-0.1406196	-0.1419500	-0.1391652
sal + aou	Indo-Pacific	(26.75,27]	-0.3056838	-0.3203116	-0.2971292
sal + aou	Indo-Pacific	(27,27.25]	-0.5451350	-0.5609458	-0.5340823
sal + aou	Indo-Pacific	(27.25,27.5]	-0.5541902	-0.5795082	-0.5320452
sal + aou	Indo-Pacific	(27.5,27.75]	-0.3379830	-0.3500887	-0.3253611
sal + aou	Indo-Pacific	(27.75,27.85]	-0.0828459	-0.1162528	-0.0660693
sal + aou	Indo-Pacific	(27.85,27.95]	-0.0118244	-0.0221539	0.0031062
sal + aou	Indo-Pacific	(27.95,28.05]	0.1864735	0.1317591	0.2375783
sal + aou	Indo-Pacific	(28.05,28.1]	0.1095347	0.0387234	0.1550883
sal + aou	Indo-Pacific	(28.1, Inf]	-0.5746835	-0.5809862	-0.5688463
sal + aou	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + aou	SO	(26,26.5]	0.5000490	0.4499495	0.5494461
sal + aou	SO	(26.5,26.75]	0.1717544	0.0809677	0.3052647
sal + aou	SO	(26.75,27]	-0.2589037	-0.2994280	-0.2334258
sal + aou	SO	(27,27.25]	-0.1642627	-0.1916560	-0.1339095
sal + aou	SO	(27.25,27.5]	0.4658954	0.4369613	0.5010990
sal + aou	SO	(27.5,27.75]	0.6957219	0.6618680	0.7348416
sal + aou	SO	(27.75,27.85]	0.9168036	0.9133442	0.9210026
sal + aou	SO	(27.85,27.95]	0.8264268	0.8172681	0.8375193
sal + aou	SO	(27.95,28.05]	0.7544122	0.7511793	0.7590235
sal + aou	SO	(28.05,28.1]	0.7786879	0.7602891	0.7951863
sal + aou	SO	(28.1, Inf]	0.5587830	0.5293878	0.5857625
sal + aou	SO	(28.1,28.15]	0.4989193	0.4952439	0.5022672
sal + aou	SO	(28.15,28.2]	0.3880550	0.2982584	0.4620976
sal + aou	SO	(28.2, Inf]	0.5067080	0.4587800	0.5559819
sal + nitrate	Atlantic	(-Inf,26]	-0.6745164	-0.6845712	-0.6657979
sal + nitrate	Atlantic	(26,26.5]	-0.3993073	-0.4364597	-0.3661963
sal + nitrate	Atlantic	(26.5,26.75]	0.2066589	0.1870817	0.2398522
sal + nitrate	Atlantic	(26.75,27]	0.3477976	0.3175759	0.3794016
sal + nitrate	Atlantic	(27,27.25]	0.1539752	0.0995864	0.2161109
sal + nitrate	Atlantic	(27.25,27.5]	-0.0072122	-0.0707266	0.0688382
sal + nitrate	Atlantic	(27.5,27.75]	0.4802060	0.4633205	0.5119519
sal + nitrate	Atlantic	(27.75,27.85]	0.0646743	-0.0443600	0.1513943
sal + nitrate	Atlantic	(27.85,27.95]	0.0249744	-0.0158684	0.0766166
sal + nitrate	Atlantic	(27.95,28.05]	-0.1924903	-0.2518359	-0.1211828
sal + nitrate	Atlantic	(28.05,28.1]	-0.5489974	-0.5668659	-0.5274286
sal + nitrate	Atlantic	(28.1,28.15]	-0.8012650	-0.8474451	-0.7259505
sal + nitrate	Atlantic	(28.15,28.2]	-0.8067276	-0.8392146	-0.7732976
sal + nitrate	Atlantic	(28.2, Inf]	-0.9329288	-0.9613937	-0.8930468
sal + nitrate	Indo-Pacific	(-Inf,26]	-0.3670663	-0.3692645	-0.3651030
sal + nitrate	Indo-Pacific	(26,26.5]	-0.4003539	-0.4030228	-0.3962933
sal + nitrate	Indo-Pacific	(26.5,26.75]	-0.4160026	-0.4216495	-0.4095542
sal + nitrate	Indo-Pacific	(26.75,27]	-0.5185669	-0.5449334	-0.5019774
sal + nitrate	Indo-Pacific	(27,27.25]	-0.7074697	-0.7124586	-0.7033457
sal + nitrate	Indo-Pacific	(27.25,27.5]	-0.6628104	-0.6811005	-0.6399154
sal + nitrate	Indo-Pacific	(27.5,27.75]	-0.4337690	-0.4368326	-0.4306327
sal + nitrate	Indo-Pacific	(27.75,27.85]	-0.1390672	-0.1653710	-0.1009325
sal + nitrate	Indo-Pacific	(27.85,27.95]	-0.0736555	-0.0956744	-0.0386373
sal + nitrate	Indo-Pacific	(27.95,28.05]	0.0838769	0.0275407	0.1372844
sal + nitrate	Indo-Pacific	(28.05,28.1]	-0.0121533	-0.0867555	0.0329346
sal + nitrate	Indo-Pacific	(28.1, Inf]	-0.5904493	-0.5924850	-0.5876347
sal + nitrate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + nitrate	SO	(26,26.5]	0.1369928	0.0625901	0.1962388
sal + nitrate	SO	(26.5,26.75]	-0.3846041	-0.4778892	-0.2134149
sal + nitrate	SO	(26.75,27]	-0.6981750	-0.7097704	-0.6879661
sal + nitrate	SO	(27,27.25]	-0.7040882	-0.7187157	-0.6869767
sal + nitrate	SO	(27.25,27.5]	-0.1601635	-0.2125158	-0.1177718
sal + nitrate	SO	(27.5,27.75]	0.2880040	0.2387761	0.3486077
sal + nitrate	SO	(27.75,27.85]	0.8133530	0.8091924	0.8179242
sal + nitrate	SO	(27.85,27.95]	0.6459700	0.6188773	0.6818897
sal + nitrate	SO	(27.95,28.05]	0.4971458	0.4642289	0.5228958
sal + nitrate	SO	(28.05,28.1]	0.3306155	0.2868915	0.3847026
sal + nitrate	SO	(28.1, Inf]	0.4164144	0.3815922	0.4507255
sal + nitrate	SO	(28.1,28.15]	-0.6352801	-0.6416358	-0.6236355
sal + nitrate	SO	(28.15,28.2]	-0.7604679	-0.8033386	-0.7294469
sal + nitrate	SO	(28.2, Inf]	-0.0112067	-0.0705532	0.0421036
sal + phosphate	Atlantic	(-Inf,26]	-0.2911109	-0.3888854	-0.2351049
sal + phosphate	Atlantic	(26,26.5]	-0.6203555	-0.6375823	-0.5975022
sal + phosphate	Atlantic	(26.5,26.75]	0.0318844	0.0162796	0.0542499
sal + phosphate	Atlantic	(26.75,27]	0.2289286	0.1968949	0.2615892
sal + phosphate	Atlantic	(27,27.25]	0.0395381	-0.0153401	0.1008320
sal + phosphate	Atlantic	(27.25,27.5]	-0.0858945	-0.1460989	-0.0111427
sal + phosphate	Atlantic	(27.5,27.75]	0.4163653	0.3994513	0.4479717
sal + phosphate	Atlantic	(27.75,27.85]	0.0200795	-0.0919424	0.1065684
sal + phosphate	Atlantic	(27.85,27.95]	-0.0132512	-0.0586978	0.0333803
sal + phosphate	Atlantic	(27.95,28.05]	-0.2138282	-0.2695745	-0.1457470
sal + phosphate	Atlantic	(28.05,28.1]	-0.5665409	-0.5835743	-0.5469203
sal + phosphate	Atlantic	(28.1,28.15]	-0.7993182	-0.8472914	-0.7212497
sal + phosphate	Atlantic	(28.15,28.2]	-0.7446522	-0.7763383	-0.7124243
sal + phosphate	Atlantic	(28.2, Inf]	-0.9134772	-0.9403186	-0.8760032
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.3535446	-0.3558418	-0.3499633
sal + phosphate	Indo-Pacific	(26,26.5]	-0.3750784	-0.3807210	-0.3666112
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3347937	-0.3429622	-0.3273857
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4483172	-0.4748317	-0.4349838
sal + phosphate	Indo-Pacific	(27,27.25]	-0.6283524	-0.6352681	-0.6201805
sal + phosphate	Indo-Pacific	(27.25,27.5]	-0.6127577	-0.6392231	-0.5825478
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.4081280	-0.4208418	-0.3977234
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1248201	-0.1568015	-0.0994019
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.0584692	-0.0709047	-0.0339848
sal + phosphate	Indo-Pacific	(27.95,28.05]	0.1534886	0.0983422	0.2048820
sal + phosphate	Indo-Pacific	(28.05,28.1]	0.0768182	0.0045938	0.1230796
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.5627186	-0.5665903	-0.5607257
sal + phosphate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + phosphate	SO	(26,26.5]	0.0296221	-0.0301258	0.0924401
sal + phosphate	SO	(26.5,26.75]	-0.4626414	-0.5477405	-0.3043828
sal + phosphate	SO	(26.75,27]	-0.7293779	-0.7409643	-0.7151708
sal + phosphate	SO	(27,27.25]	-0.7227928	-0.7353930	-0.7063157
sal + phosphate	SO	(27.25,27.5]	-0.1920716	-0.2447861	-0.1483851
sal + phosphate	SO	(27.5,27.75]	0.2866845	0.2367309	0.3476596
sal + phosphate	SO	(27.75,27.85]	0.8099077	0.8069586	0.8148332
sal + phosphate	SO	(27.85,27.95]	0.6506396	0.6226184	0.6877649
sal + phosphate	SO	(27.95,28.05]	0.4968341	0.4613035	0.5250658
sal + phosphate	SO	(28.05,28.1]	0.3506919	0.3050671	0.4052312
sal + phosphate	SO	(28.1, Inf]	0.5831201	0.5489909	0.6152517
sal + phosphate	SO	(28.1,28.15]	-0.6289184	-0.6371720	-0.6169163
sal + phosphate	SO	(28.15,28.2]	-0.7402490	-0.7902224	-0.7040397
sal + phosphate	SO	(28.2, Inf]	0.2573344	0.2022222	0.3056175
sal + phosphate_star	Atlantic	(-Inf,26]	-0.2430926	-0.3278989	-0.1505424
sal + phosphate_star	Atlantic	(26,26.5]	-0.8670051	-0.8833041	-0.8571773
sal + phosphate_star	Atlantic	(26.5,26.75]	-0.7636627	-0.7839786	-0.7499869
sal + phosphate_star	Atlantic	(26.75,27]	-0.7101114	-0.7244940	-0.6997336
sal + phosphate_star	Atlantic	(27,27.25]	-0.6765003	-0.6955343	-0.6533814
sal + phosphate_star	Atlantic	(27.25,27.5]	-0.6443167	-0.6721854	-0.6141393
sal + phosphate_star	Atlantic	(27.5,27.75]	-0.1397203	-0.1618337	-0.1117680
sal + phosphate_star	Atlantic	(27.75,27.85]	-0.3148292	-0.4218652	-0.2512779
sal + phosphate_star	Atlantic	(27.85,27.95]	-0.2792609	-0.3100630	-0.2533485
sal + phosphate_star	Atlantic	(27.95,28.05]	-0.3120587	-0.3532143	-0.2571879
sal + phosphate_star	Atlantic	(28.05,28.1]	-0.5812090	-0.5997033	-0.5593659
sal + phosphate_star	Atlantic	(28.1,28.15]	-0.7614005	-0.8153343	-0.6699616
sal + phosphate_star	Atlantic	(28.15,28.2]	-0.7094577	-0.7590156	-0.6606275
sal + phosphate_star	Atlantic	(28.2, Inf]	-0.9016999	-0.9300748	-0.8618812
sal + phosphate_star	Indo-Pacific	(-Inf,26]	-0.7110023	-0.7155861	-0.7075461
sal + phosphate_star	Indo-Pacific	(26,26.5]	-0.8685987	-0.8755767	-0.8642054
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8754152	-0.8886373	-0.8665992
sal + phosphate_star	Indo-Pacific	(26.75,27]	-0.8373609	-0.8590032	-0.8249641
sal + phosphate_star	Indo-Pacific	(27,27.25]	-0.8756955	-0.8827540	-0.8679831
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.7951268	-0.8131543	-0.7613068
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.6880805	-0.6994596	-0.6821804
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.6442916	-0.7135612	-0.5974300
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.5879802	-0.6272385	-0.5454946
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.4598197	-0.4782200	-0.4496229
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.5101511	-0.5588283	-0.4711300
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.0121716	-0.0318024	0.0456644
sal + phosphate_star	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
sal + phosphate_star	SO	(26,26.5]	-0.8502788	-0.8582537	-0.8450358
sal + phosphate_star	SO	(26.5,26.75]	-0.9382524	-0.9446209	-0.9280855
sal + phosphate_star	SO	(26.75,27]	-0.9295475	-0.9373741	-0.9229316
sal + phosphate_star	SO	(27,27.25]	-0.9568181	-0.9612308	-0.9542089
sal + phosphate_star	SO	(27.25,27.5]	-0.9536436	-0.9572351	-0.9509472
sal + phosphate_star	SO	(27.5,27.75]	-0.9193127	-0.9205758	-0.9185825
sal + phosphate_star	SO	(27.75,27.85]	-0.9536880	-0.9543778	-0.9533139
sal + phosphate_star	SO	(27.85,27.95]	-0.8791964	-0.8819408	-0.8761199
sal + phosphate_star	SO	(27.95,28.05]	-0.7841293	-0.7984379	-0.7766370
sal + phosphate_star	SO	(28.05,28.1]	-0.8865909	-0.8936897	-0.8806704
sal + phosphate_star	SO	(28.1, Inf]	-0.1373046	-0.1555510	-0.1227993
sal + phosphate_star	SO	(28.1,28.15]	-0.9738979	-0.9781878	-0.9711842
sal + phosphate_star	SO	(28.15,28.2]	-0.9878314	-0.9909883	-0.9851102
sal + phosphate_star	SO	(28.2, Inf]	-0.1599531	-0.1763859	-0.1506818
sal + silicate	Atlantic	(-Inf,26]	-0.7666791	-0.7830523	-0.7520002
sal + silicate	Atlantic	(26,26.5]	0.1741301	0.1419087	0.1915686
sal + silicate	Atlantic	(26.5,26.75]	0.3324438	0.3127305	0.3717870
sal + silicate	Atlantic	(26.75,27]	0.1129257	0.0685965	0.1436684
sal + silicate	Atlantic	(27,27.25]	-0.1017289	-0.1568224	-0.0406904
sal + silicate	Atlantic	(27.25,27.5]	-0.1930206	-0.2548576	-0.1099730
sal + silicate	Atlantic	(27.5,27.75]	0.2799278	0.2623504	0.3045594
sal + silicate	Atlantic	(27.75,27.85]	-0.3057330	-0.4123406	-0.2345000
sal + silicate	Atlantic	(27.85,27.95]	-0.3371575	-0.3987254	-0.2650744
sal + silicate	Atlantic	(27.95,28.05]	-0.4945356	-0.5264815	-0.4530095
sal + silicate	Atlantic	(28.05,28.1]	-0.7093125	-0.7229771	-0.7008754
sal + silicate	Atlantic	(28.1,28.15]	-0.7904323	-0.8373141	-0.7075439
sal + silicate	Atlantic	(28.15,28.2]	-0.6051579	-0.6311014	-0.5811753
sal + silicate	Atlantic	(28.2, Inf]	-0.8686819	-0.8774003	-0.8530630
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5419422	-0.5467874	-0.5333764
sal + silicate	Indo-Pacific	(26,26.5]	-0.5850000	-0.5909851	-0.5807674
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6168258	-0.6249149	-0.6096455
sal + silicate	Indo-Pacific	(26.75,27]	-0.6578774	-0.6736608	-0.6489361
sal + silicate	Indo-Pacific	(27,27.25]	-0.7715069	-0.7733625	-0.7690625
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.7381889	-0.7557523	-0.7132817
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.5276511	-0.5374703	-0.5194913
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2307326	-0.2573798	-0.1960244
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.1195623	-0.1364709	-0.0859129
sal + silicate	Indo-Pacific	(27.95,28.05]	0.1123120	0.0483056	0.1737044
sal + silicate	Indo-Pacific	(28.05,28.1]	0.0753267	0.0011897	0.1207177
sal + silicate	Indo-Pacific	(28.1, Inf]	-0.0242696	-0.0468537	-0.0083560
sal + silicate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + silicate	SO	(26,26.5]	0.6309591	0.5837950	0.6860279
sal + silicate	SO	(26.5,26.75]	0.3629873	0.2846958	0.4814036
sal + silicate	SO	(26.75,27]	-0.1516908	-0.1920761	-0.1203793
sal + silicate	SO	(27,27.25]	-0.4565615	-0.4841328	-0.4289849
sal + silicate	SO	(27.25,27.5]	-0.1012570	-0.1578350	-0.0495507
sal + silicate	SO	(27.5,27.75]	0.3307399	0.2852320	0.3855064
sal + silicate	SO	(27.75,27.85]	0.8228099	0.8191485	0.8251821
sal + silicate	SO	(27.85,27.95]	0.7570159	0.7412289	0.7815525
sal + silicate	SO	(27.95,28.05]	0.6634407	0.6423626	0.6781267
sal + silicate	SO	(28.05,28.1]	0.6487293	0.6106004	0.6845746
sal + silicate	SO	(28.1, Inf]	0.8663762	0.8541659	0.8769218
sal + silicate	SO	(28.1,28.15]	-0.0257423	-0.0469818	-0.0016877
sal + silicate	SO	(28.15,28.2]	-0.0138763	-0.1390698	0.0827413
sal + silicate	SO	(28.2, Inf]	0.6469354	0.6309500	0.6573449
sal + temp	Atlantic	(-Inf,26]	0.6604365	0.6490670	0.6796755
sal + temp	Atlantic	(26,26.5]	0.9572038	0.9535054	0.9590625
sal + temp	Atlantic	(26.5,26.75]	0.9681573	0.9663888	0.9714643
sal + temp	Atlantic	(26.75,27]	0.9710636	0.9681616	0.9738493
sal + temp	Atlantic	(27,27.25]	0.9629817	0.9620792	0.9647522
sal + temp	Atlantic	(27.25,27.5]	0.9632850	0.9625191	0.9646907
sal + temp	Atlantic	(27.5,27.75]	0.9714393	0.9713434	0.9715817
sal + temp	Atlantic	(27.75,27.85]	0.9617755	0.9589003	0.9638736
sal + temp	Atlantic	(27.85,27.95]	0.9388722	0.9345155	0.9424398
sal + temp	Atlantic	(27.95,28.05]	0.8478038	0.8394906	0.8602059
sal + temp	Atlantic	(28.05,28.1]	0.8829094	0.8701282	0.8974325
sal + temp	Atlantic	(28.1,28.15]	0.8081464	0.7795418	0.8334689
sal + temp	Atlantic	(28.15,28.2]	0.7358422	0.7317659	0.7406487
sal + temp	Atlantic	(28.2, Inf]	0.8817203	0.8199984	0.9148395
sal + temp	Indo-Pacific	(-Inf,26]	0.8223290	0.8201284	0.8247242
sal + temp	Indo-Pacific	(26,26.5]	0.9553831	0.9537539	0.9566616
sal + temp	Indo-Pacific	(26.5,26.75]	0.9812762	0.9811398	0.9814531
sal + temp	Indo-Pacific	(26.75,27]	0.9818903	0.9809717	0.9825072
sal + temp	Indo-Pacific	(27,27.25]	0.9780590	0.9770127	0.9793049
sal + temp	Indo-Pacific	(27.25,27.5]	0.9395502	0.9385489	0.9414974
sal + temp	Indo-Pacific	(27.5,27.75]	0.8279809	0.8108638	0.8439982
sal + temp	Indo-Pacific	(27.75,27.85]	0.9285555	0.9122688	0.9442033
sal + temp	Indo-Pacific	(27.85,27.95]	0.7895353	0.7595682	0.8143198
sal + temp	Indo-Pacific	(27.95,28.05]	0.8311506	0.7972539	0.8640978
sal + temp	Indo-Pacific	(28.05,28.1]	0.9385447	0.9360203	0.9432801
sal + temp	Indo-Pacific	(28.1, Inf]	-0.5085323	-0.5291594	-0.4740329
sal + temp	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
sal + temp	SO	(26,26.5]	0.9283731	0.9192149	0.9427547
sal + temp	SO	(26.5,26.75]	0.9665918	0.9616897	0.9696670
sal + temp	SO	(26.75,27]	0.9635271	0.9619051	0.9666616
sal + temp	SO	(27,27.25]	0.9516595	0.9486638	0.9548894
sal + temp	SO	(27.25,27.5]	0.9408029	0.9373428	0.9462609
sal + temp	SO	(27.5,27.75]	0.8782238	0.8721853	0.8821817
sal + temp	SO	(27.75,27.85]	0.9558119	0.9536019	0.9579032
sal + temp	SO	(27.85,27.95]	0.9336690	0.9314163	0.9353576
sal + temp	SO	(27.95,28.05]	0.9101713	0.9069505	0.9143246
sal + temp	SO	(28.05,28.1]	0.9508660	0.9491321	0.9518095
sal + temp	SO	(28.1, Inf]	0.4123200	0.3976094	0.4210274
sal + temp	SO	(28.1,28.15]	0.9429652	0.9394925	0.9455091
sal + temp	SO	(28.15,28.2]	0.9570815	0.9548207	0.9615656
sal + temp	SO	(28.2, Inf]	0.7183080	0.7126947	0.7216897
silicate + phosphate	Atlantic	(-Inf,26]	-0.1108891	-0.2206780	0.0298299
silicate + phosphate	Atlantic	(26,26.5]	0.0227596	-0.0122775	0.0613790
silicate + phosphate	Atlantic	(26.5,26.75]	0.5591493	0.5100778	0.6030826
silicate + phosphate	Atlantic	(26.75,27]	0.8380896	0.8296218	0.8453912
silicate + phosphate	Atlantic	(27,27.25]	0.9192595	0.9147623	0.9215254
silicate + phosphate	Atlantic	(27.25,27.5]	0.9251888	0.9239600	0.9268011
silicate + phosphate	Atlantic	(27.5,27.75]	0.9276564	0.9254594	0.9296094
silicate + phosphate	Atlantic	(27.75,27.85]	0.8981186	0.8945891	0.9049052
silicate + phosphate	Atlantic	(27.85,27.95]	0.9008063	0.8933314	0.9102977
silicate + phosphate	Atlantic	(27.95,28.05]	0.9249663	0.9157938	0.9303124
silicate + phosphate	Atlantic	(28.05,28.1]	0.9497402	0.9425939	0.9539973
silicate + phosphate	Atlantic	(28.1,28.15]	0.9638935	0.9573091	0.9722138
silicate + phosphate	Atlantic	(28.15,28.2]	0.9624658	0.9613222	0.9638874
silicate + phosphate	Atlantic	(28.2, Inf]	0.9717856	0.9709199	0.9725496
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.8857204	0.8835508	0.8872226
silicate + phosphate	Indo-Pacific	(26,26.5]	0.8764596	0.8739569	0.8778955
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.8463835	0.8424680	0.8501505
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8930020	0.8915982	0.8948712
silicate + phosphate	Indo-Pacific	(27,27.25]	0.9224476	0.9178510	0.9267301
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.9354633	0.9334961	0.9384090
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.9364547	0.9346465	0.9389086
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9501339	0.9495766	0.9506296
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9484780	0.9453918	0.9525982
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9741905	0.9733267	0.9758483
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9721842	0.9720820	0.9723379
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7283979	0.7230102	0.7358303
silicate + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate	SO	(26,26.5]	0.7313642	0.7185697	0.7536148
silicate + phosphate	SO	(26.5,26.75]	0.5804836	0.5515864	0.6108164
silicate + phosphate	SO	(26.75,27]	0.7348410	0.7129410	0.7505947
silicate + phosphate	SO	(27,27.25]	0.9046854	0.9017308	0.9103423
silicate + phosphate	SO	(27.25,27.5]	0.9635419	0.9617343	0.9654469
silicate + phosphate	SO	(27.5,27.75]	0.9708486	0.9698786	0.9720810
silicate + phosphate	SO	(27.75,27.85]	0.9767597	0.9757030	0.9779332
silicate + phosphate	SO	(27.85,27.95]	0.9610667	0.9592427	0.9642313
silicate + phosphate	SO	(27.95,28.05]	0.9418395	0.9371366	0.9458776
silicate + phosphate	SO	(28.05,28.1]	0.9079351	0.9039782	0.9114943
silicate + phosphate	SO	(28.1, Inf]	0.7520739	0.7443672	0.7576452
silicate + phosphate	SO	(28.1,28.15]	0.7483627	0.7402431	0.7620633
silicate + phosphate	SO	(28.15,28.2]	0.6466993	0.6131129	0.6865471
silicate + phosphate	SO	(28.2, Inf]	0.8794741	0.8631049	0.8968592
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.1622457	-0.2465395	-0.0296334
silicate + phosphate_star	Atlantic	(26,26.5]	-0.3050419	-0.3405004	-0.2625854
silicate + phosphate_star	Atlantic	(26.5,26.75]	0.0100211	-0.0849452	0.0744302
silicate + phosphate_star	Atlantic	(26.75,27]	0.4169248	0.3887712	0.4696531
silicate + phosphate_star	Atlantic	(27,27.25]	0.7481289	0.7267318	0.7687876
silicate + phosphate_star	Atlantic	(27.25,27.5]	0.8583630	0.8350298	0.8712939
silicate + phosphate_star	Atlantic	(27.5,27.75]	0.8979477	0.8911541	0.9037690
silicate + phosphate_star	Atlantic	(27.75,27.85]	0.9898588	0.9891114	0.9903255
silicate + phosphate_star	Atlantic	(27.85,27.95]	0.9779547	0.9718188	0.9823790
silicate + phosphate_star	Atlantic	(27.95,28.05]	0.9687541	0.9656985	0.9712781
silicate + phosphate_star	Atlantic	(28.05,28.1]	0.9654632	0.9609486	0.9681095
silicate + phosphate_star	Atlantic	(28.1,28.15]	0.9617502	0.9571492	0.9682811
silicate + phosphate_star	Atlantic	(28.15,28.2]	0.9660973	0.9653850	0.9670923
silicate + phosphate_star	Atlantic	(28.2, Inf]	0.9786991	0.9754935	0.9817901
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	0.7717472	0.7693337	0.7756406
silicate + phosphate_star	Indo-Pacific	(26,26.5]	0.7800882	0.7792851	0.7806548
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8018682	0.8002113	0.8047413
silicate + phosphate_star	Indo-Pacific	(26.75,27]	0.8265808	0.8232621	0.8302617
silicate + phosphate_star	Indo-Pacific	(27,27.25]	0.8706263	0.8606944	0.8819629
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	0.8100634	0.7951782	0.8265385
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	0.6864609	0.6688182	0.7095165
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	0.5584164	0.5230718	0.5780639
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	0.5890109	0.5807825	0.5971715
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5824567	0.5783968	0.5859139
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6451110	0.6339727	0.6577591
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	0.6317455	0.5996061	0.6478788
silicate + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
silicate + phosphate_star	SO	(26,26.5]	-0.4650033	-0.5085616	-0.4196355
silicate + phosphate_star	SO	(26.5,26.75]	-0.2463205	-0.3502515	-0.1768865
silicate + phosphate_star	SO	(26.75,27]	0.2510735	0.2114333	0.2943872
silicate + phosphate_star	SO	(27,27.25]	0.4932672	0.4612984	0.5224736
silicate + phosphate_star	SO	(27.25,27.5]	0.2588430	0.2205590	0.2933745
silicate + phosphate_star	SO	(27.5,27.75]	-0.0180661	-0.0635847	0.0175446
silicate + phosphate_star	SO	(27.75,27.85]	-0.6876699	-0.6913498	-0.6821607
silicate + phosphate_star	SO	(27.85,27.95]	-0.5360403	-0.5596146	-0.5241187
silicate + phosphate_star	SO	(27.95,28.05]	-0.4052564	-0.4094866	-0.4029723
silicate + phosphate_star	SO	(28.05,28.1]	-0.5044321	-0.5296110	-0.4819254
silicate + phosphate_star	SO	(28.1, Inf]	0.2739130	0.2342078	0.3121722
silicate + phosphate_star	SO	(28.1,28.15]	-0.0668407	-0.0976117	-0.0512755
silicate + phosphate_star	SO	(28.15,28.2]	-0.0107492	-0.1095160	0.1285615
silicate + phosphate_star	SO	(28.2, Inf]	0.5991647	0.5909235	0.6070338
temp + aou	Atlantic	(-Inf,26]	-0.6706962	-0.7046934	-0.6397576
temp + aou	Atlantic	(26,26.5]	-0.4079855	-0.4307841	-0.3879041
temp + aou	Atlantic	(26.5,26.75]	0.1411373	0.1236676	0.1665206
temp + aou	Atlantic	(26.75,27]	0.3217826	0.3103724	0.3422981
temp + aou	Atlantic	(27,27.25]	0.2407229	0.1911282	0.2950058
temp + aou	Atlantic	(27.25,27.5]	0.1879613	0.1418323	0.2513936
temp + aou	Atlantic	(27.5,27.75]	0.5420875	0.5300441	0.5644537
temp + aou	Atlantic	(27.75,27.85]	0.3038319	0.2301161	0.3829335
temp + aou	Atlantic	(27.85,27.95]	0.2033124	0.1537034	0.2471341
temp + aou	Atlantic	(27.95,28.05]	-0.0757023	-0.1194441	-0.0101802
temp + aou	Atlantic	(28.05,28.1]	-0.3839369	-0.4151924	-0.3310606
temp + aou	Atlantic	(28.1,28.15]	-0.6216201	-0.6617243	-0.5755149
temp + aou	Atlantic	(28.15,28.2]	-0.7649849	-0.7924665	-0.7360185
temp + aou	Atlantic	(28.2, Inf]	-0.8659258	-0.9114870	-0.7885794
temp + aou	Indo-Pacific	(-Inf,26]	-0.3770203	-0.3786895	-0.3742840
temp + aou	Indo-Pacific	(26,26.5]	-0.2015796	-0.2043503	-0.1977604
temp + aou	Indo-Pacific	(26.5,26.75]	-0.1235256	-0.1260940	-0.1188310
temp + aou	Indo-Pacific	(26.75,27]	-0.2584751	-0.2701175	-0.2500972
temp + aou	Indo-Pacific	(27,27.25]	-0.5352982	-0.5526103	-0.5247009
temp + aou	Indo-Pacific	(27.25,27.5]	-0.5511218	-0.5817002	-0.5267990
temp + aou	Indo-Pacific	(27.5,27.75]	-0.3029700	-0.3168538	-0.2884532
temp + aou	Indo-Pacific	(27.75,27.85]	-0.0643949	-0.0964798	-0.0374105
temp + aou	Indo-Pacific	(27.85,27.95]	-0.0067469	-0.0198359	0.0022242
temp + aou	Indo-Pacific	(27.95,28.05]	0.1670367	0.0790451	0.2679683
temp + aou	Indo-Pacific	(28.05,28.1]	0.2029044	0.1367068	0.2370435
temp + aou	Indo-Pacific	(28.1, Inf]	0.7140392	0.7115286	0.7165950
temp + aou	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + aou	SO	(26,26.5]	0.5377416	0.5234662	0.5650084
temp + aou	SO	(26.5,26.75]	0.1922608	0.1145243	0.3103231
temp + aou	SO	(26.75,27]	-0.2228530	-0.2630916	-0.1948109
temp + aou	SO	(27,27.25]	-0.1387358	-0.1692290	-0.1000124
temp + aou	SO	(27.25,27.5]	0.2988862	0.2823783	0.3245542
temp + aou	SO	(27.5,27.75]	0.3621573	0.3299233	0.3968909
temp + aou	SO	(27.75,27.85]	0.8229001	0.8141155	0.8330992
temp + aou	SO	(27.85,27.95]	0.7599841	0.7566966	0.7622350
temp + aou	SO	(27.95,28.05]	0.8045926	0.8031501	0.8070879
temp + aou	SO	(28.05,28.1]	0.7759578	0.7677196	0.7857064
temp + aou	SO	(28.1, Inf]	0.7757296	0.7710542	0.7787406
temp + aou	SO	(28.1,28.15]	0.4542183	0.4505380	0.4598176
temp + aou	SO	(28.15,28.2]	0.3762599	0.2758559	0.4487352
temp + aou	SO	(28.2, Inf]	0.3344562	0.2953446	0.3744683
temp + nitrate	Atlantic	(-Inf,26]	-0.7485724	-0.7713420	-0.7270565
temp + nitrate	Atlantic	(26,26.5]	-0.4458926	-0.4659714	-0.4190282
temp + nitrate	Atlantic	(26.5,26.75]	0.0822247	0.0649413	0.1139064
temp + nitrate	Atlantic	(26.75,27]	0.2603138	0.2350834	0.2882822
temp + nitrate	Atlantic	(27,27.25]	0.1423640	0.0871899	0.2026714
temp + nitrate	Atlantic	(27.25,27.5]	0.0486827	-0.0084785	0.1254998
temp + nitrate	Atlantic	(27.5,27.75]	0.4732106	0.4565670	0.4971951
temp + nitrate	Atlantic	(27.75,27.85]	0.0657576	-0.0328382	0.1533466
temp + nitrate	Atlantic	(27.85,27.95]	-0.0083370	-0.0498663	0.0138738
temp + nitrate	Atlantic	(27.95,28.05]	-0.1565757	-0.1997568	-0.0952962
temp + nitrate	Atlantic	(28.05,28.1]	-0.3517851	-0.3849944	-0.2936029
temp + nitrate	Atlantic	(28.1,28.15]	-0.5901860	-0.6509793	-0.5079009
temp + nitrate	Atlantic	(28.15,28.2]	-0.7771375	-0.8284536	-0.7210067
temp + nitrate	Atlantic	(28.2, Inf]	-0.7928056	-0.8862486	-0.6474031
temp + nitrate	Indo-Pacific	(-Inf,26]	-0.5290604	-0.5329882	-0.5259758
temp + nitrate	Indo-Pacific	(26,26.5]	-0.4510190	-0.4602746	-0.4426692
temp + nitrate	Indo-Pacific	(26.5,26.75]	-0.4039534	-0.4062410	-0.4000494
temp + nitrate	Indo-Pacific	(26.75,27]	-0.4875129	-0.5113171	-0.4743440
temp + nitrate	Indo-Pacific	(27,27.25]	-0.7151644	-0.7201341	-0.7113002
temp + nitrate	Indo-Pacific	(27.25,27.5]	-0.6932384	-0.7174164	-0.6673175
temp + nitrate	Indo-Pacific	(27.5,27.75]	-0.4891302	-0.4958371	-0.4830847
temp + nitrate	Indo-Pacific	(27.75,27.85]	-0.1426401	-0.1760604	-0.1205950
temp + nitrate	Indo-Pacific	(27.85,27.95]	-0.1167462	-0.1438011	-0.0877718
temp + nitrate	Indo-Pacific	(27.95,28.05]	0.0565443	-0.0359015	0.1637615
temp + nitrate	Indo-Pacific	(28.05,28.1]	0.0885925	0.0179804	0.1279382
temp + nitrate	Indo-Pacific	(28.1, Inf]	0.6389912	0.6373780	0.6419259
temp + nitrate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + nitrate	SO	(26,26.5]	0.1096770	0.0841828	0.1451464
temp + nitrate	SO	(26.5,26.75]	-0.3793650	-0.4623504	-0.2177025
temp + nitrate	SO	(26.75,27]	-0.6901071	-0.7015563	-0.6829303
temp + nitrate	SO	(27,27.25]	-0.6991452	-0.7166784	-0.6761158
temp + nitrate	SO	(27.25,27.5]	-0.3627158	-0.3910593	-0.3337264
temp + nitrate	SO	(27.5,27.75]	-0.1227480	-0.1629767	-0.0739165
temp + nitrate	SO	(27.75,27.85]	0.6953389	0.6849667	0.7010771
temp + nitrate	SO	(27.85,27.95]	0.5455663	0.5371561	0.5600518
temp + nitrate	SO	(27.95,28.05]	0.4746132	0.4559721	0.4919343
temp + nitrate	SO	(28.05,28.1]	0.3330506	0.2987638	0.3781555
temp + nitrate	SO	(28.1, Inf]	0.5405268	0.5156248	0.5737596
temp + nitrate	SO	(28.1,28.15]	-0.6384213	-0.6479801	-0.6275471
temp + nitrate	SO	(28.15,28.2]	-0.7398620	-0.7909613	-0.7099080
temp + nitrate	SO	(28.2, Inf]	-0.5088779	-0.5634610	-0.4558544
temp + phosphate	Atlantic	(-Inf,26]	-0.6888977	-0.7521368	-0.6452803
temp + phosphate	Atlantic	(26,26.5]	-0.6422519	-0.6503242	-0.6270451
temp + phosphate	Atlantic	(26.5,26.75]	-0.0759065	-0.0871813	-0.0534496
temp + phosphate	Atlantic	(26.75,27]	0.1541901	0.1277083	0.1810036
temp + phosphate	Atlantic	(27,27.25]	0.0403174	-0.0147647	0.0991804
temp + phosphate	Atlantic	(27.25,27.5]	-0.0241419	-0.0784488	0.0509724
temp + phosphate	Atlantic	(27.5,27.75]	0.4128305	0.3960295	0.4362495
temp + phosphate	Atlantic	(27.75,27.85]	0.0197509	-0.0812708	0.1070171
temp + phosphate	Atlantic	(27.85,27.95]	-0.0503559	-0.0943283	-0.0248425
temp + phosphate	Atlantic	(27.95,28.05]	-0.1876182	-0.2298262	-0.1302990
temp + phosphate	Atlantic	(28.05,28.1]	-0.3784447	-0.4107789	-0.3231501
temp + phosphate	Atlantic	(28.1,28.15]	-0.6100669	-0.6680312	-0.5257367
temp + phosphate	Atlantic	(28.15,28.2]	-0.7947973	-0.8454623	-0.7393011
temp + phosphate	Atlantic	(28.2, Inf]	-0.7953974	-0.8872393	-0.6536603
temp + phosphate	Indo-Pacific	(-Inf,26]	-0.4993285	-0.5037008	-0.4968443
temp + phosphate	Indo-Pacific	(26,26.5]	-0.4272983	-0.4290178	-0.4260178
temp + phosphate	Indo-Pacific	(26.5,26.75]	-0.3201821	-0.3253146	-0.3133004
temp + phosphate	Indo-Pacific	(26.75,27]	-0.4129496	-0.4366704	-0.3997971
temp + phosphate	Indo-Pacific	(27,27.25]	-0.6289190	-0.6360062	-0.6217187
temp + phosphate	Indo-Pacific	(27.25,27.5]	-0.6324519	-0.6637494	-0.6013335
temp + phosphate	Indo-Pacific	(27.5,27.75]	-0.4118165	-0.4238066	-0.4016160
temp + phosphate	Indo-Pacific	(27.75,27.85]	-0.1140688	-0.1512455	-0.0917349
temp + phosphate	Indo-Pacific	(27.85,27.95]	-0.0745605	-0.0907518	-0.0559629
temp + phosphate	Indo-Pacific	(27.95,28.05]	0.1243940	0.0328049	0.2292761
temp + phosphate	Indo-Pacific	(28.05,28.1]	0.1728398	0.1054740	0.2071733
temp + phosphate	Indo-Pacific	(28.1, Inf]	0.6790383	0.6762227	0.6820712
temp + phosphate	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate	SO	(26,26.5]	-0.0095330	-0.0332951	0.0240630
temp + phosphate	SO	(26.5,26.75]	-0.4634886	-0.5341517	-0.3224302
temp + phosphate	SO	(26.75,27]	-0.7196737	-0.7311109	-0.7084074
temp + phosphate	SO	(27,27.25]	-0.7136260	-0.7295512	-0.6915871
temp + phosphate	SO	(27.25,27.5]	-0.3862731	-0.4152156	-0.3560129
temp + phosphate	SO	(27.5,27.75]	-0.1211757	-0.1622309	-0.0717498
temp + phosphate	SO	(27.75,27.85]	0.6931805	0.6839623	0.6978737
temp + phosphate	SO	(27.85,27.95]	0.5504015	0.5417441	0.5669559
temp + phosphate	SO	(27.95,28.05]	0.4686023	0.4479159	0.4875559
temp + phosphate	SO	(28.05,28.1]	0.3633349	0.3269378	0.4090824
temp + phosphate	SO	(28.1, Inf]	0.4956339	0.4631515	0.5324807
temp + phosphate	SO	(28.1,28.15]	-0.6197944	-0.6314107	-0.6081914
temp + phosphate	SO	(28.15,28.2]	-0.7113505	-0.7709428	-0.6758689
temp + phosphate	SO	(28.2, Inf]	-0.3020018	-0.3627173	-0.2414258
temp + phosphate_star	Atlantic	(-Inf,26]	-0.6779711	-0.7302908	-0.6230139
temp + phosphate_star	Atlantic	(26,26.5]	-0.8568257	-0.8704930	-0.8492796
temp + phosphate_star	Atlantic	(26.5,26.75]	-0.7866427	-0.8059291	-0.7755535
temp + phosphate_star	Atlantic	(26.75,27]	-0.7471434	-0.7602757	-0.7398564
temp + phosphate_star	Atlantic	(27,27.25]	-0.6743573	-0.6967736	-0.6520163
temp + phosphate_star	Atlantic	(27.25,27.5]	-0.5918697	-0.6196218	-0.5592816
temp + phosphate_star	Atlantic	(27.5,27.75]	-0.1509409	-0.1658567	-0.1301657
temp + phosphate_star	Atlantic	(27.75,27.85]	-0.3405038	-0.4339148	-0.2768474
temp + phosphate_star	Atlantic	(27.85,27.95]	-0.3491560	-0.3724147	-0.3280353
temp + phosphate_star	Atlantic	(27.95,28.05]	-0.3597620	-0.3927005	-0.3159164
temp + phosphate_star	Atlantic	(28.05,28.1]	-0.4453234	-0.4798869	-0.3946553
temp + phosphate_star	Atlantic	(28.1,28.15]	-0.6398817	-0.7046297	-0.5377614
temp + phosphate_star	Atlantic	(28.15,28.2]	-0.8291264	-0.8919122	-0.7606595
temp + phosphate_star	Atlantic	(28.2, Inf]	-0.7954851	-0.8928088	-0.6475753
temp + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8468157	-0.8503010	-0.8443473
temp + phosphate_star	Indo-Pacific	(26,26.5]	-0.9136548	-0.9167671	-0.9110716
temp + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.8816382	-0.8939692	-0.8718486
temp + phosphate_star	Indo-Pacific	(26.75,27]	-0.8464392	-0.8664345	-0.8350281
temp + phosphate_star	Indo-Pacific	(27,27.25]	-0.9020837	-0.9097458	-0.8915425
temp + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8790230	-0.8979740	-0.8490445
temp + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8667331	-0.8756382	-0.8606844
temp + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.7045305	-0.7356260	-0.6584187
temp + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.7794257	-0.8019844	-0.7411814
temp + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.6056982	-0.6773465	-0.5274854
temp + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.4354040	-0.4808026	-0.4037619
temp + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.4175931	-0.4294984	-0.4040198
temp + phosphate_star	SO	(-Inf,26]	-1.0000000	-1.0000000	-1.0000000
temp + phosphate_star	SO	(26,26.5]	-0.9501596	-0.9551024	-0.9467338
temp + phosphate_star	SO	(26.5,26.75]	-0.9649000	-0.9666263	-0.9626471
temp + phosphate_star	SO	(26.75,27]	-0.9543300	-0.9595271	-0.9478601
temp + phosphate_star	SO	(27,27.25]	-0.9792955	-0.9818500	-0.9773965
temp + phosphate_star	SO	(27.25,27.5]	-0.9910663	-0.9917146	-0.9906906
temp + phosphate_star	SO	(27.5,27.75]	-0.9778323	-0.9784364	-0.9767827
temp + phosphate_star	SO	(27.75,27.85]	-0.9566848	-0.9569507	-0.9563040
temp + phosphate_star	SO	(27.85,27.95]	-0.9117058	-0.9145014	-0.9101017
temp + phosphate_star	SO	(27.95,28.05]	-0.8800861	-0.8852163	-0.8762720
temp + phosphate_star	SO	(28.05,28.1]	-0.8877686	-0.8914109	-0.8841726
temp + phosphate_star	SO	(28.1, Inf]	-0.7468981	-0.7545321	-0.7404321
temp + phosphate_star	SO	(28.1,28.15]	-0.9493866	-0.9512707	-0.9465270
temp + phosphate_star	SO	(28.15,28.2]	-0.9718503	-0.9744666	-0.9695992
temp + phosphate_star	SO	(28.2, Inf]	-0.6974456	-0.7148740	-0.6814413
temp + silicate	Atlantic	(-Inf,26]	-0.3651392	-0.3884488	-0.3529087
temp + silicate	Atlantic	(26,26.5]	0.1299876	0.1155104	0.1472034
temp + silicate	Atlantic	(26.5,26.75]	0.2281856	0.2052918	0.2712238
temp + silicate	Atlantic	(26.75,27]	-0.0106944	-0.0500390	0.0161272
temp + silicate	Atlantic	(27,27.25]	-0.1223309	-0.1779828	-0.0630712
temp + silicate	Atlantic	(27.25,27.5]	-0.1311997	-0.1889734	-0.0478165
temp + silicate	Atlantic	(27.5,27.75]	0.2757023	0.2581517	0.2917747
temp + silicate	Atlantic	(27.75,27.85]	-0.3158495	-0.4094083	-0.2440931
temp + silicate	Atlantic	(27.85,27.95]	-0.3894942	-0.4322052	-0.3240335
temp + silicate	Atlantic	(27.95,28.05]	-0.5088100	-0.5410576	-0.4752710
temp + silicate	Atlantic	(28.05,28.1]	-0.5953182	-0.6221980	-0.5647909
temp + silicate	Atlantic	(28.1,28.15]	-0.7143334	-0.7659241	-0.6280989
temp + silicate	Atlantic	(28.15,28.2]	-0.8148065	-0.8571729	-0.7679432
temp + silicate	Atlantic	(28.2, Inf]	-0.8377822	-0.9022043	-0.7363641
temp + silicate	Indo-Pacific	(-Inf,26]	-0.6017430	-0.6086808	-0.5952722
temp + silicate	Indo-Pacific	(26,26.5]	-0.6117946	-0.6167696	-0.6084027
temp + silicate	Indo-Pacific	(26.5,26.75]	-0.6073143	-0.6124737	-0.5995698
temp + silicate	Indo-Pacific	(26.75,27]	-0.6339446	-0.6474067	-0.6272000
temp + silicate	Indo-Pacific	(27,27.25]	-0.7840472	-0.7857788	-0.7829622
temp + silicate	Indo-Pacific	(27.25,27.5]	-0.7716481	-0.7930774	-0.7459069
temp + silicate	Indo-Pacific	(27.5,27.75]	-0.5903550	-0.6022406	-0.5839216
temp + silicate	Indo-Pacific	(27.75,27.85]	-0.2570767	-0.2873288	-0.2387541
temp + silicate	Indo-Pacific	(27.85,27.95]	-0.2325332	-0.2615250	-0.2075480
temp + silicate	Indo-Pacific	(27.95,28.05]	0.0583252	-0.0458537	0.1746661
temp + silicate	Indo-Pacific	(28.05,28.1]	0.1366553	0.0695324	0.1712851
temp + silicate	Indo-Pacific	(28.1, Inf]	0.1621944	0.1514906	0.1762845
temp + silicate	SO	(-Inf,26]	1.0000000	1.0000000	1.0000000
temp + silicate	SO	(26,26.5]	0.5740338	0.5172394	0.6138364
temp + silicate	SO	(26.5,26.75]	0.3438581	0.2850722	0.4477434
temp + silicate	SO	(26.75,27]	-0.1859838	-0.2250730	-0.1473371
temp + silicate	SO	(27,27.25]	-0.5001887	-0.5327313	-0.4654682
temp + silicate	SO	(27.25,27.5]	-0.3223835	-0.3572300	-0.2816980
temp + silicate	SO	(27.5,27.75]	-0.0712337	-0.1071654	-0.0270983
temp + silicate	SO	(27.75,27.85]	0.7121217	0.7072671	0.7165340
temp + silicate	SO	(27.85,27.95]	0.6513178	0.6417676	0.6606216
temp + silicate	SO	(27.95,28.05]	0.5968580	0.5863317	0.6065317
temp + silicate	SO	(28.05,28.1]	0.6648109	0.6331462	0.6937907
temp + silicate	SO	(28.1, Inf]	0.2072637	0.1705349	0.2373907
temp + silicate	SO	(28.1,28.15]	0.0116989	-0.0062431	0.0335691
temp + silicate	SO	(28.15,28.2]	0.0307279	-0.1045884	0.1204268
temp + silicate	SO	(28.2, Inf]	0.0768886	0.0488904	0.1058122

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
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.3641068	0.3220785	0.4010690
aou	Atlantic	(26,26.5]	0.0134427	-0.1328226	0.1465116
aou	Atlantic	(26.5,26.75]	-0.0178147	-0.1664603	0.1864025
aou	Atlantic	(26.75,27]	-0.1570587	-0.3279373	0.0433005
aou	Atlantic	(27,27.25]	-0.5686216	-0.6459693	-0.4724267
aou	Atlantic	(27.25,27.5]	-0.7273468	-0.7654186	-0.6888048
aou	Atlantic	(27.5,27.75]	-0.8103692	-0.8171585	-0.8050332
aou	Atlantic	(27.75,27.85]	-0.8186279	-0.8379416	-0.8008781
aou	Atlantic	(27.85,27.95]	-0.8809452	-0.8860159	-0.8731247
aou	Atlantic	(27.95,28.05]	-0.8423523	-0.8566452	-0.8311557
aou	Atlantic	(28.05,28.1]	-0.9356394	-0.9407530	-0.9305974
aou	Atlantic	(28.1,28.15]	-0.9179708	-0.9351108	-0.8946709
aou	Atlantic	(28.15,28.2]	-0.9215983	-0.9438716	-0.8979232
aou	Atlantic	(28.2, Inf]	-0.9226001	-0.9531391	-0.8826672
aou	Indo-Pacific	(-Inf,26]	-0.0963720	-0.2620585	0.0527509
aou	Indo-Pacific	(26,26.5]	-0.4547189	-0.5914807	-0.2796927
aou	Indo-Pacific	(26.5,26.75]	-0.7383172	-0.8026811	-0.6499723
aou	Indo-Pacific	(26.75,27]	-0.7798772	-0.8394209	-0.7088835
aou	Indo-Pacific	(27,27.25]	-0.6034564	-0.7110559	-0.4795654
aou	Indo-Pacific	(27.25,27.5]	-0.3709633	-0.5562856	-0.1450474
aou	Indo-Pacific	(27.5,27.75]	0.2593596	0.0133267	0.4885531
aou	Indo-Pacific	(27.75,27.85]	0.7956512	0.7357683	0.8558428
aou	Indo-Pacific	(27.85,27.95]	0.8544697	0.8248134	0.8873045
aou	Indo-Pacific	(27.95,28.05]	0.9422986	0.9367898	0.9487115
aou	Indo-Pacific	(28.05,28.1]	0.9443876	0.9418433	0.9477518
aou	Indo-Pacific	(28.1, Inf]	0.5826784	0.5792932	0.5865050
aou	SO	(-Inf,26]	NA	NA	NA
aou	SO	(26,26.5]	0.0385221	-0.1215011	0.2121927
aou	SO	(26.5,26.75]	-0.3027929	-0.4097574	-0.1114921
aou	SO	(26.75,27]	-0.5333167	-0.5820872	-0.4552017
aou	SO	(27,27.25]	-0.4935927	-0.5841874	-0.4022213
aou	SO	(27.25,27.5]	-0.3247318	-0.4818662	-0.0980407
aou	SO	(27.5,27.75]	-0.4527153	-0.7232259	-0.0695473
aou	SO	(27.75,27.85]	-0.5235779	-0.8631491	-0.0030714
aou	SO	(27.85,27.95]	-0.4682072	-0.7492141	-0.0823457
aou	SO	(27.95,28.05]	-0.5228811	-0.7825069	-0.1472627
aou	SO	(28.05,28.1]	-0.5205179	-0.7958826	-0.1073573
aou	SO	(28.1, Inf]	-0.1723202	-0.4304746	0.1237863
aou	SO	(28.1,28.15]	-0.0702034	-0.3586173	0.2129153
aou	SO	(28.15,28.2]	-0.1373457	-0.3063467	0.0170049
aou	SO	(28.2, Inf]	-0.2123146	-0.3162166	-0.1062179
nitrate	Atlantic	(-Inf,26]	0.0269936	-0.0131800	0.0546032
nitrate	Atlantic	(26,26.5]	-0.2131767	-0.3587938	-0.0757116
nitrate	Atlantic	(26.5,26.75]	-0.1670926	-0.3182288	0.0381308
nitrate	Atlantic	(26.75,27]	-0.2816908	-0.4441668	-0.0937882
nitrate	Atlantic	(27,27.25]	-0.7081124	-0.7700090	-0.6322332
nitrate	Atlantic	(27.25,27.5]	-0.8523415	-0.8755130	-0.8252275
nitrate	Atlantic	(27.5,27.75]	-0.9295114	-0.9337097	-0.9241054
nitrate	Atlantic	(27.75,27.85]	-0.9523032	-0.9534319	-0.9504917
nitrate	Atlantic	(27.85,27.95]	-0.9552889	-0.9609275	-0.9490973
nitrate	Atlantic	(27.95,28.05]	-0.8948139	-0.9069307	-0.8831415
nitrate	Atlantic	(28.05,28.1]	-0.9777710	-0.9805864	-0.9733428
nitrate	Atlantic	(28.1,28.15]	-0.9748824	-0.9824313	-0.9663122
nitrate	Atlantic	(28.15,28.2]	-0.9773077	-0.9860211	-0.9681484
nitrate	Atlantic	(28.2, Inf]	-0.9836759	-0.9906792	-0.9762830
nitrate	Indo-Pacific	(-Inf,26]	-0.1153585	-0.2785644	0.0347786
nitrate	Indo-Pacific	(26,26.5]	-0.4437976	-0.5672927	-0.2983814
nitrate	Indo-Pacific	(26.5,26.75]	-0.6378921	-0.7038815	-0.5542220
nitrate	Indo-Pacific	(26.75,27]	-0.5938740	-0.6341193	-0.5317439
nitrate	Indo-Pacific	(27,27.25]	-0.3718510	-0.4984835	-0.2327816
nitrate	Indo-Pacific	(27.25,27.5]	-0.2717972	-0.4537899	-0.0569680
nitrate	Indo-Pacific	(27.5,27.75]	0.2419147	0.0082914	0.4640013
nitrate	Indo-Pacific	(27.75,27.85]	0.8039138	0.7453562	0.8568030
nitrate	Indo-Pacific	(27.85,27.95]	0.8740711	0.8475212	0.8961838
nitrate	Indo-Pacific	(27.95,28.05]	0.9333527	0.9292405	0.9402229
nitrate	Indo-Pacific	(28.05,28.1]	0.9362165	0.9322405	0.9407983
nitrate	Indo-Pacific	(28.1, Inf]	0.6346617	0.6298747	0.6393144
nitrate	SO	(-Inf,26]	NA	NA	NA
nitrate	SO	(26,26.5]	-0.0463672	-0.2187253	0.1767781
nitrate	SO	(26.5,26.75]	-0.4945737	-0.5773303	-0.3649339
nitrate	SO	(26.75,27]	-0.8225417	-0.8558738	-0.7752854
nitrate	SO	(27,27.25]	-0.8852202	-0.9144223	-0.8516066
nitrate	SO	(27.25,27.5]	-0.8037659	-0.8976026	-0.6676149
nitrate	SO	(27.5,27.75]	-0.7492500	-0.9204668	-0.4810042
nitrate	SO	(27.75,27.85]	-0.5724674	-0.8591478	-0.1251742
nitrate	SO	(27.85,27.95]	-0.5214966	-0.7128086	-0.2414105
nitrate	SO	(27.95,28.05]	-0.6538688	-0.7594093	-0.4821410
nitrate	SO	(28.05,28.1]	-0.7214253	-0.7983692	-0.5919682
nitrate	SO	(28.1, Inf]	-0.3421623	-0.4785399	-0.1878962
nitrate	SO	(28.1,28.15]	-0.8688624	-0.8970070	-0.8224678
nitrate	SO	(28.15,28.2]	-0.9478247	-0.9583120	-0.9312860
nitrate	SO	(28.2, Inf]	-0.8434043	-0.8664006	-0.8210800
phosphate	Atlantic	(-Inf,26]	0.4402535	0.3629020	0.5016541
phosphate	Atlantic	(26,26.5]	0.0459523	-0.0588170	0.1325068
phosphate	Atlantic	(26.5,26.75]	-0.1427326	-0.2762492	0.0447381
phosphate	Atlantic	(26.75,27]	-0.2941660	-0.4469355	-0.1234100
phosphate	Atlantic	(27,27.25]	-0.7093385	-0.7674004	-0.6363141
phosphate	Atlantic	(27.25,27.5]	-0.8492931	-0.8678334	-0.8265920
phosphate	Atlantic	(27.5,27.75]	-0.9218689	-0.9247180	-0.9176869
phosphate	Atlantic	(27.75,27.85]	-0.9561092	-0.9594551	-0.9539219
phosphate	Atlantic	(27.85,27.95]	-0.9544162	-0.9607737	-0.9472911
phosphate	Atlantic	(27.95,28.05]	-0.8994826	-0.9099966	-0.8908359
phosphate	Atlantic	(28.05,28.1]	-0.9755503	-0.9781999	-0.9710068
phosphate	Atlantic	(28.1,28.15]	-0.9743455	-0.9809789	-0.9663580
phosphate	Atlantic	(28.15,28.2]	-0.9703577	-0.9759461	-0.9638066
phosphate	Atlantic	(28.2, Inf]	-0.9801235	-0.9872437	-0.9723413
phosphate	Indo-Pacific	(-Inf,26]	-0.1432178	-0.3108490	0.0111439
phosphate	Indo-Pacific	(26,26.5]	-0.5812862	-0.7060592	-0.4196967
phosphate	Indo-Pacific	(26.5,26.75]	-0.8081903	-0.8624466	-0.7301714
phosphate	Indo-Pacific	(26.75,27]	-0.8002622	-0.8446290	-0.7452978
phosphate	Indo-Pacific	(27,27.25]	-0.6258570	-0.7244410	-0.5133750
phosphate	Indo-Pacific	(27.25,27.5]	-0.4616388	-0.6284407	-0.2579581
phosphate	Indo-Pacific	(27.5,27.75]	0.1659814	-0.0754379	0.3928129
phosphate	Indo-Pacific	(27.75,27.85]	0.7805826	0.7187074	0.8389897
phosphate	Indo-Pacific	(27.85,27.95]	0.8536812	0.8254233	0.8819081
phosphate	Indo-Pacific	(27.95,28.05]	0.9358013	0.9310542	0.9425708
phosphate	Indo-Pacific	(28.05,28.1]	0.9373044	0.9339333	0.9411976
phosphate	Indo-Pacific	(28.1, Inf]	0.6044220	0.6013063	0.6103664
phosphate	SO	(-Inf,26]	NA	NA	NA
phosphate	SO	(26,26.5]	-0.2227416	-0.3922610	-0.0183606
phosphate	SO	(26.5,26.75]	-0.6338441	-0.6955993	-0.5103859
phosphate	SO	(26.75,27]	-0.8423383	-0.8773630	-0.7953939
phosphate	SO	(27,27.25]	-0.8929812	-0.9217274	-0.8605690
phosphate	SO	(27.25,27.5]	-0.8159189	-0.9070394	-0.6837451
phosphate	SO	(27.5,27.75]	-0.7540888	-0.9237358	-0.4876511
phosphate	SO	(27.75,27.85]	-0.5785651	-0.8622325	-0.1353140
phosphate	SO	(27.85,27.95]	-0.5277905	-0.7215582	-0.2449000
phosphate	SO	(27.95,28.05]	-0.6479437	-0.7509567	-0.4826326
phosphate	SO	(28.05,28.1]	-0.7182938	-0.7985300	-0.5842650
phosphate	SO	(28.1, Inf]	-0.4993132	-0.6433124	-0.3268918
phosphate	SO	(28.1,28.15]	-0.8840723	-0.9169825	-0.8320634
phosphate	SO	(28.15,28.2]	-0.9532374	-0.9677218	-0.9296612
phosphate	SO	(28.2, Inf]	-0.8996168	-0.9056353	-0.8963205
phosphate_star	Atlantic	(-Inf,26]	0.1011514	0.0498067	0.1452297
phosphate_star	Atlantic	(26,26.5]	0.1400864	0.1284891	0.1574891
phosphate_star	Atlantic	(26.5,26.75]	-0.2915671	-0.3116241	-0.2687491
phosphate_star	Atlantic	(26.75,27]	-0.4306626	-0.4975140	-0.3970827
phosphate_star	Atlantic	(27,27.25]	-0.5651641	-0.5921448	-0.5280326
phosphate_star	Atlantic	(27.25,27.5]	-0.6611922	-0.6952853	-0.6145469
phosphate_star	Atlantic	(27.5,27.75]	-0.6853521	-0.6950955	-0.6735290
phosphate_star	Atlantic	(27.75,27.85]	-0.9017090	-0.9186807	-0.8905622
phosphate_star	Atlantic	(27.85,27.95]	-0.8939534	-0.9130266	-0.8770901
phosphate_star	Atlantic	(27.95,28.05]	-0.8723798	-0.8836154	-0.8655107
phosphate_star	Atlantic	(28.05,28.1]	-0.9722234	-0.9748875	-0.9677540
phosphate_star	Atlantic	(28.1,28.15]	-0.9826912	-0.9861330	-0.9784997
phosphate_star	Atlantic	(28.15,28.2]	-0.9762582	-0.9788031	-0.9730685
phosphate_star	Atlantic	(28.2, Inf]	-0.9818576	-0.9867942	-0.9764303
phosphate_star	Indo-Pacific	(-Inf,26]	-0.0066006	-0.1347371	0.1161477
phosphate_star	Indo-Pacific	(26,26.5]	-0.5558906	-0.6017165	-0.4987522
phosphate_star	Indo-Pacific	(26.5,26.75]	-0.5642982	-0.5866573	-0.5397611
phosphate_star	Indo-Pacific	(26.75,27]	-0.4138915	-0.4382190	-0.3847312
phosphate_star	Indo-Pacific	(27,27.25]	-0.3736218	-0.4599924	-0.2834146
phosphate_star	Indo-Pacific	(27.25,27.5]	-0.5106093	-0.6058370	-0.4011317
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.2343920	-0.3388559	-0.1251663
phosphate_star	Indo-Pacific	(27.75,27.85]	0.2759459	0.2561048	0.3021459
phosphate_star	Indo-Pacific	(27.85,27.95]	0.3735980	0.3554258	0.3847242
phosphate_star	Indo-Pacific	(27.95,28.05]	0.5354112	0.5232869	0.5474158
phosphate_star	Indo-Pacific	(28.05,28.1]	0.6307884	0.6080667	0.6479446
phosphate_star	Indo-Pacific	(28.1, Inf]	0.5721427	0.5412369	0.5970712
phosphate_star	SO	(-Inf,26]	NA	NA	NA
phosphate_star	SO	(26,26.5]	-0.3106508	-0.3541261	-0.2805632
phosphate_star	SO	(26.5,26.75]	-0.5296398	-0.5736190	-0.4480337
phosphate_star	SO	(26.75,27]	-0.7643671	-0.7718385	-0.7550489
phosphate_star	SO	(27,27.25]	-0.8349307	-0.8843814	-0.8007594
phosphate_star	SO	(27.25,27.5]	-0.6879861	-0.8170893	-0.5847677
phosphate_star	SO	(27.5,27.75]	-0.4155594	-0.7001395	-0.1941076
phosphate_star	SO	(27.75,27.85]	0.3996560	-0.1104319	0.7375404
phosphate_star	SO	(27.85,27.95]	0.3659473	-0.0251629	0.6663037
phosphate_star	SO	(27.95,28.05]	0.3250727	-0.0967934	0.6221720
phosphate_star	SO	(28.05,28.1]	0.2188695	-0.2853516	0.5444041
phosphate_star	SO	(28.1, Inf]	-0.4376094	-0.7007508	-0.1834657
phosphate_star	SO	(28.1,28.15]	-0.6502431	-0.8688049	-0.4129507
phosphate_star	SO	(28.15,28.2]	-0.7760614	-0.9331219	-0.6038515
phosphate_star	SO	(28.2, Inf]	-0.8859583	-0.9533998	-0.8168336
sal	Atlantic	(-Inf,26]	0.6329389	0.6159084	0.6581242
sal	Atlantic	(26,26.5]	-0.1291086	-0.1574107	-0.0975787
sal	Atlantic	(26.5,26.75]	-0.1204740	-0.2183011	-0.0031774
sal	Atlantic	(26.75,27]	-0.1595345	-0.2548609	-0.0077844
sal	Atlantic	(27,27.25]	-0.1966808	-0.2761483	-0.1286056
sal	Atlantic	(27.25,27.5]	-0.1243997	-0.2211825	-0.0409964
sal	Atlantic	(27.5,27.75]	-0.6166700	-0.6519075	-0.5957457
sal	Atlantic	(27.75,27.85]	-0.1131718	-0.2057863	0.0415736
sal	Atlantic	(27.85,27.95]	-0.1310864	-0.2072880	-0.0649641
sal	Atlantic	(27.95,28.05]	-0.0878421	-0.1491866	-0.0388953
sal	Atlantic	(28.05,28.1]	0.3926092	0.3774388	0.4202449
sal	Atlantic	(28.1,28.15]	0.6714919	0.5449833	0.7563610
sal	Atlantic	(28.15,28.2]	0.7444649	0.6603701	0.8292914
sal	Atlantic	(28.2, Inf]	0.8707223	0.7932830	0.9323215
sal	Indo-Pacific	(-Inf,26]	-0.0634099	-0.1299086	0.0031338
sal	Indo-Pacific	(26,26.5]	0.2969028	0.2728891	0.3280196
sal	Indo-Pacific	(26.5,26.75]	0.2344476	0.1999278	0.2558391
sal	Indo-Pacific	(26.75,27]	0.0143671	-0.0411759	0.0856443
sal	Indo-Pacific	(27,27.25]	0.0076339	-0.0978427	0.1047335
sal	Indo-Pacific	(27.25,27.5]	0.0674567	-0.0902203	0.1968483
sal	Indo-Pacific	(27.5,27.75]	-0.1025585	-0.1714533	-0.0208989
sal	Indo-Pacific	(27.75,27.85]	-0.0453048	-0.0791746	0.0078162
sal	Indo-Pacific	(27.85,27.95]	0.0643005	0.0107637	0.1165043
sal	Indo-Pacific	(27.95,28.05]	-0.0075923	-0.0522749	0.0346359
sal	Indo-Pacific	(28.05,28.1]	-0.0726072	-0.1400006	-0.0293198
sal	Indo-Pacific	(28.1, Inf]	-0.0787692	-0.1079066	-0.0587205
sal	SO	(-Inf,26]	NA	NA	NA
sal	SO	(26,26.5]	0.1347137	0.0542014	0.2445397
sal	SO	(26.5,26.75]	0.4565331	0.3525198	0.5144968
sal	SO	(26.75,27]	0.6708690	0.6584847	0.6810248
sal	SO	(27,27.25]	0.8239513	0.7941420	0.8704929
sal	SO	(27.25,27.5]	0.5775963	0.4818912	0.7165567
sal	SO	(27.5,27.75]	0.1213478	-0.1228386	0.4542908
sal	SO	(27.75,27.85]	-0.5413004	-0.8659144	-0.0305235
sal	SO	(27.85,27.95]	-0.5083512	-0.8229966	-0.0926210
sal	SO	(27.95,28.05]	-0.3881091	-0.6829523	0.0375378
sal	SO	(28.05,28.1]	-0.2479743	-0.5429738	0.2423288
sal	SO	(28.1, Inf]	-0.4390755	-0.6966906	-0.1193043
sal	SO	(28.1,28.15]	0.7248525	0.5150418	0.9101129
sal	SO	(28.15,28.2]	0.8007822	0.6383253	0.9419906
sal	SO	(28.2, Inf]	-0.2403837	-0.3954903	-0.0636011
silicate	Atlantic	(-Inf,26]	-0.6235293	-0.6822996	-0.5931277
silicate	Atlantic	(26,26.5]	-0.5073410	-0.5723965	-0.4354363
silicate	Atlantic	(26.5,26.75]	-0.3724035	-0.4758375	-0.2292362
silicate	Atlantic	(26.75,27]	-0.5510540	-0.6797241	-0.4105334
silicate	Atlantic	(27,27.25]	-0.8522367	-0.8856181	-0.8083345
silicate	Atlantic	(27.25,27.5]	-0.9188662	-0.9209262	-0.9176872
silicate	Atlantic	(27.5,27.75]	-0.9165423	-0.9252712	-0.9073101
silicate	Atlantic	(27.75,27.85]	-0.8991719	-0.9148785	-0.8887860
silicate	Atlantic	(27.85,27.95]	-0.8386133	-0.8623038	-0.8137609
silicate	Atlantic	(27.95,28.05]	-0.7753483	-0.7841655	-0.7603938
silicate	Atlantic	(28.05,28.1]	-0.8941518	-0.9008840	-0.8896967
silicate	Atlantic	(28.1,28.15]	-0.9158149	-0.9286375	-0.9064773
silicate	Atlantic	(28.15,28.2]	-0.9023770	-0.9056633	-0.8988795
silicate	Atlantic	(28.2, Inf]	-0.9298343	-0.9450108	-0.9127071
silicate	Indo-Pacific	(-Inf,26]	-0.1261024	-0.2814879	0.0089027
silicate	Indo-Pacific	(26,26.5]	-0.6558585	-0.7502486	-0.5357737
silicate	Indo-Pacific	(26.5,26.75]	-0.7302886	-0.7771870	-0.6612801
silicate	Indo-Pacific	(26.75,27]	-0.5946801	-0.6467539	-0.5351239
silicate	Indo-Pacific	(27,27.25]	-0.3866372	-0.5066120	-0.2528250
silicate	Indo-Pacific	(27.25,27.5]	-0.2450483	-0.4256020	-0.0364198
silicate	Indo-Pacific	(27.5,27.75]	0.3167315	0.0974504	0.5225338
silicate	Indo-Pacific	(27.75,27.85]	0.8587578	0.8074688	0.9036132
silicate	Indo-Pacific	(27.85,27.95]	0.8881193	0.8553960	0.9171620
silicate	Indo-Pacific	(27.95,28.05]	0.9626057	0.9566429	0.9699462
silicate	Indo-Pacific	(28.05,28.1]	0.9636061	0.9613815	0.9656484
silicate	Indo-Pacific	(28.1, Inf]	0.8926415	0.8882250	0.8982181
silicate	SO	(-Inf,26]	NA	NA	NA
silicate	SO	(26,26.5]	-0.0985568	-0.2605162	0.0410952
silicate	SO	(26.5,26.75]	-0.2474979	-0.3600991	-0.0595193
silicate	SO	(26.75,27]	-0.5469216	-0.5867988	-0.4700472
silicate	SO	(27,27.25]	-0.7703788	-0.8184982	-0.7161598
silicate	SO	(27.25,27.5]	-0.7625189	-0.8687156	-0.6092375
silicate	SO	(27.5,27.75]	-0.7547523	-0.9225736	-0.4888154
silicate	SO	(27.75,27.85]	-0.6257954	-0.8930703	-0.1946425
silicate	SO	(27.85,27.95]	-0.5929213	-0.8079495	-0.2810395
silicate	SO	(27.95,28.05]	-0.6459426	-0.7879905	-0.4266620
silicate	SO	(28.05,28.1]	-0.6586684	-0.8327044	-0.3829195
silicate	SO	(28.1, Inf]	-0.7081568	-0.8484625	-0.5177641
silicate	SO	(28.1,28.15]	-0.6262137	-0.8507410	-0.4006644
silicate	SO	(28.15,28.2]	-0.5629029	-0.6956021	-0.4489454
silicate	SO	(28.2, Inf]	-0.8148211	-0.8690908	-0.7461712
temp	Atlantic	(-Inf,26]	-0.0491292	-0.0822790	-0.0015824
temp	Atlantic	(26,26.5]	-0.2688171	-0.2949974	-0.2299504
temp	Atlantic	(26.5,26.75]	-0.1314137	-0.2072449	-0.0436950
temp	Atlantic	(26.75,27]	-0.0921143	-0.1618560	0.0338289
temp	Atlantic	(27,27.25]	-0.1774679	-0.2444849	-0.1185468
temp	Atlantic	(27.25,27.5]	-0.1846506	-0.2771377	-0.1116338
temp	Atlantic	(27.5,27.75]	-0.6004454	-0.6250249	-0.5852099
temp	Atlantic	(27.75,27.85]	-0.0826736	-0.1757042	0.0551301
temp	Atlantic	(27.85,27.95]	-0.0680163	-0.1090908	-0.0032535
temp	Atlantic	(27.95,28.05]	-0.0617843	-0.1239581	-0.0205804
temp	Atlantic	(28.05,28.1]	0.2272013	0.1816041	0.2723865
temp	Atlantic	(28.1,28.15]	0.4900159	0.3547689	0.5674220
temp	Atlantic	(28.15,28.2]	0.7368339	0.6324405	0.8335483
temp	Atlantic	(28.2, Inf]	0.6954071	0.4931011	0.8356910
temp	Indo-Pacific	(-Inf,26]	-0.3732002	-0.4630140	-0.2789492
temp	Indo-Pacific	(26,26.5]	0.2553706	0.2150127	0.2968322
temp	Indo-Pacific	(26.5,26.75]	0.1934476	0.1508856	0.2164772
temp	Indo-Pacific	(26.75,27]	-0.0364139	-0.0950016	0.0331295
temp	Indo-Pacific	(27,27.25]	0.0115172	-0.0944896	0.1076068
temp	Indo-Pacific	(27.25,27.5]	0.1643998	0.0124821	0.2971873
temp	Indo-Pacific	(27.5,27.75]	0.0485224	-0.0326897	0.1262672
temp	Indo-Pacific	(27.75,27.85]	-0.0481030	-0.0650656	-0.0215427
temp	Indo-Pacific	(27.85,27.95]	0.0244539	-0.0419906	0.0600805
temp	Indo-Pacific	(27.95,28.05]	-0.0146844	-0.0958125	0.0710901
temp	Indo-Pacific	(28.05,28.1]	0.0017158	-0.0588047	0.0380475
temp	Indo-Pacific	(28.1, Inf]	-0.0112376	-0.0163620	-0.0071627
temp	SO	(-Inf,26]	NA	NA	NA
temp	SO	(26,26.5]	0.1134426	0.0633127	0.2031318
temp	SO	(26.5,26.75]	0.4145144	0.3305717	0.4644764
temp	SO	(26.75,27]	0.6309195	0.6158216	0.6419254
temp	SO	(27,27.25]	0.7806142	0.7489082	0.8301048
temp	SO	(27.25,27.5]	0.7060903	0.6151782	0.8172565
temp	SO	(27.5,27.75]	0.4608075	0.2742930	0.6974241
temp	SO	(27.75,27.85]	-0.5229500	-0.8010661	-0.0879219
temp	SO	(27.85,27.95]	-0.5681238	-0.8105096	-0.2347362
temp	SO	(27.95,28.05]	-0.4816829	-0.7531812	-0.0853674
temp	SO	(28.05,28.1]	-0.3193793	-0.6021788	0.1466290
temp	SO	(28.1, Inf]	0.0096015	-0.2430679	0.2977399
temp	SO	(28.1,28.15]	0.6330356	0.4222752	0.8278762
temp	SO	(28.15,28.2]	0.7370964	0.5743819	0.8911479
temp	SO	(28.2, Inf]	0.3882747	0.2424820	0.5439653

rm(cor_target_predictor, cor_target_predictor_stats)

sessionInfo()

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

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

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

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

other attached packages:
 [1] corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1 knitr_1.30      
 [5] olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9  metR_0.9.0      
 [9] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[13] stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4      readr_1.4.0     
[17] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[21] workflowr_1.6.2 

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

eMLR - assumption testing

Jens Daniel Müller and Donghe Zhu

27 January, 2021