eMLR - assumption testing
Jens Daniel Müller and Donghe Zhu
13 January, 2021
Last updated: 2021-01-13
Checks: 7 0
Knit directory: emlr_mod_v_XXX/
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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))))
)
}
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")
# 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 + oxygen | Atlantic | (-Inf,26] | -0.9466455 | -0.9542775 | -0.9384174 |
| aou + oxygen | Atlantic | (26,26.5] | -0.9513965 | -0.9558331 | -0.9483351 |
| aou + oxygen | Atlantic | (26.5,26.75] | -0.9923074 | -0.9925975 | -0.9919188 |
| aou + oxygen | Atlantic | (26.75,27] | -0.9956772 | -0.9957181 | -0.9956123 |
| aou + oxygen | Atlantic | (27,27.25] | -0.9929964 | -0.9937565 | -0.9919454 |
| aou + oxygen | Atlantic | (27.25,27.5] | -0.9849357 | -0.9855933 | -0.9844445 |
| aou + oxygen | Atlantic | (27.5,27.75] | -0.9824010 | -0.9831705 | -0.9817845 |
| aou + oxygen | Atlantic | (27.75,27.85] | -0.9755071 | -0.9794281 | -0.9705784 |
| aou + oxygen | Atlantic | (27.85,27.95] | -0.8917230 | -0.9055566 | -0.8748230 |
| aou + oxygen | Atlantic | (27.95,28.05] | -0.9252873 | -0.9262888 | -0.9233092 |
| aou + oxygen | Atlantic | (28.05,28.1] | -0.8722582 | -0.8834786 | -0.8637193 |
| aou + oxygen | Atlantic | (28.1,28.15] | -0.8749289 | -0.8827871 | -0.8682007 |
| aou + oxygen | Atlantic | (28.15,28.2] | -0.9028286 | -0.9092492 | -0.8950756 |
| aou + oxygen | Atlantic | (28.2, Inf] | -0.8869781 | -0.8894036 | -0.8850760 |
| aou + oxygen | Indo-Pacific | (-Inf,26] | -0.9666911 | -0.9672214 | -0.9660243 |
| aou + oxygen | Indo-Pacific | (26,26.5] | -0.9805163 | -0.9813615 | -0.9797236 |
| aou + oxygen | Indo-Pacific | (26.5,26.75] | -0.9822124 | -0.9826539 | -0.9819161 |
| aou + oxygen | Indo-Pacific | (26.75,27] | -0.9756401 | -0.9768591 | -0.9744655 |
| aou + oxygen | Indo-Pacific | (27,27.25] | -0.9920768 | -0.9922094 | -0.9920011 |
| aou + oxygen | Indo-Pacific | (27.25,27.5] | -0.9966203 | -0.9966606 | -0.9965956 |
| aou + oxygen | Indo-Pacific | (27.5,27.75] | -0.9971890 | -0.9972166 | -0.9971584 |
| aou + oxygen | Indo-Pacific | (27.75,27.85] | -0.9982892 | -0.9983632 | -0.9981644 |
| aou + oxygen | Indo-Pacific | (27.85,27.95] | -0.9982952 | -0.9983055 | -0.9982760 |
| aou + oxygen | Indo-Pacific | (27.95,28.05] | -0.9983137 | -0.9984029 | -0.9982625 |
| aou + oxygen | Indo-Pacific | (28.05,28.1] | -0.9988492 | -0.9989675 | -0.9987363 |
| aou + oxygen | Indo-Pacific | (28.1, Inf] | -0.9986406 | -0.9986998 | -0.9985727 |
| aou + phosphate | Atlantic | (-Inf,26] | 0.9292515 | 0.9194106 | 0.9399366 |
| aou + phosphate | Atlantic | (26,26.5] | 0.8912726 | 0.8893331 | 0.8940324 |
| aou + phosphate | Atlantic | (26.5,26.75] | 0.9487873 | 0.9447682 | 0.9514802 |
| aou + phosphate | Atlantic | (26.75,27] | 0.9633632 | 0.9601375 | 0.9656255 |
| aou + phosphate | Atlantic | (27,27.25] | 0.9213875 | 0.9177527 | 0.9244745 |
| aou + phosphate | Atlantic | (27.25,27.5] | 0.7645666 | 0.7509747 | 0.7810054 |
| aou + phosphate | Atlantic | (27.5,27.75] | 0.4833183 | 0.4745936 | 0.4943400 |
| aou + phosphate | Atlantic | (27.75,27.85] | 0.2873566 | 0.2694339 | 0.3177601 |
| aou + phosphate | Atlantic | (27.85,27.95] | 0.5235515 | 0.4253902 | 0.6237919 |
| aou + phosphate | Atlantic | (27.95,28.05] | 0.1761117 | 0.1402641 | 0.2002315 |
| aou + phosphate | Atlantic | (28.05,28.1] | 0.4708000 | 0.4165720 | 0.5345300 |
| aou + phosphate | Atlantic | (28.1,28.15] | 0.8367515 | 0.8136552 | 0.8569727 |
| aou + phosphate | Atlantic | (28.15,28.2] | 0.9288133 | 0.9205191 | 0.9366171 |
| aou + phosphate | Atlantic | (28.2, Inf] | 0.8845363 | 0.8834007 | 0.8858820 |
| aou + phosphate | Indo-Pacific | (-Inf,26] | 0.9667103 | 0.9659406 | 0.9678654 |
| aou + phosphate | Indo-Pacific | (26,26.5] | 0.9592723 | 0.9583365 | 0.9602710 |
| aou + phosphate | Indo-Pacific | (26.5,26.75] | 0.9713336 | 0.9701722 | 0.9723817 |
| aou + phosphate | Indo-Pacific | (26.75,27] | 0.9728156 | 0.9725013 | 0.9732727 |
| aou + phosphate | Indo-Pacific | (27,27.25] | 0.9857593 | 0.9851347 | 0.9863322 |
| aou + phosphate | Indo-Pacific | (27.25,27.5] | 0.9866728 | 0.9861276 | 0.9870473 |
| aou + phosphate | Indo-Pacific | (27.5,27.75] | 0.9892080 | 0.9890966 | 0.9893364 |
| aou + phosphate | Indo-Pacific | (27.75,27.85] | 0.9944233 | 0.9941698 | 0.9945917 |
| aou + phosphate | Indo-Pacific | (27.85,27.95] | 0.9944533 | 0.9941251 | 0.9947299 |
| aou + phosphate | Indo-Pacific | (27.95,28.05] | 0.9867609 | 0.9863242 | 0.9870202 |
| aou + phosphate | Indo-Pacific | (28.05,28.1] | 0.9899491 | 0.9895381 | 0.9901763 |
| aou + phosphate | Indo-Pacific | (28.1, Inf] | 0.9892630 | 0.9882269 | 0.9900518 |
| aou + phosphate_star | Atlantic | (-Inf,26] | 0.2394828 | 0.1624787 | 0.2829947 |
| aou + phosphate_star | Atlantic | (26,26.5] | 0.3976127 | 0.3542750 | 0.4281844 |
| aou + phosphate_star | Atlantic | (26.5,26.75] | 0.1629442 | 0.1294478 | 0.1897935 |
| aou + phosphate_star | Atlantic | (26.75,27] | -0.1156820 | -0.1279360 | -0.0949271 |
| aou + phosphate_star | Atlantic | (27,27.25] | -0.0387544 | -0.0627329 | -0.0128964 |
| aou + phosphate_star | Atlantic | (27.25,27.5] | -0.1580372 | -0.1734956 | -0.1500956 |
| aou + phosphate_star | Atlantic | (27.5,27.75] | -0.3202287 | -0.3357029 | -0.3084762 |
| aou + phosphate_star | Atlantic | (27.75,27.85] | -0.3525517 | -0.3923292 | -0.2997408 |
| aou + phosphate_star | Atlantic | (27.85,27.95] | 0.1664595 | 0.0286166 | 0.3113898 |
| aou + phosphate_star | Atlantic | (27.95,28.05] | -0.2392009 | -0.2696142 | -0.2176909 |
| aou + phosphate_star | Atlantic | (28.05,28.1] | 0.1405614 | 0.0684256 | 0.2212936 |
| aou + phosphate_star | Atlantic | (28.1,28.15] | 0.6718686 | 0.6329504 | 0.7028218 |
| aou + phosphate_star | Atlantic | (28.15,28.2] | 0.8289053 | 0.8148361 | 0.8421747 |
| aou + phosphate_star | Atlantic | (28.2, Inf] | 0.7314839 | 0.7245233 | 0.7439888 |
| aou + phosphate_star | Indo-Pacific | (-Inf,26] | 0.5880253 | 0.5807937 | 0.5971065 |
| aou + phosphate_star | Indo-Pacific | (26,26.5] | 0.4176606 | 0.4135394 | 0.4201026 |
| aou + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.4555587 | 0.4324046 | 0.4696718 |
| aou + phosphate_star | Indo-Pacific | (26.75,27] | 0.5935429 | 0.5825721 | 0.6065722 |
| aou + phosphate_star | Indo-Pacific | (27,27.25] | 0.7044325 | 0.6869792 | 0.7261065 |
| aou + phosphate_star | Indo-Pacific | (27.25,27.5] | 0.3289182 | 0.2669157 | 0.3753428 |
| aou + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.3363708 | -0.3976704 | -0.2815824 |
| aou + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.6478813 | -0.6552659 | -0.6377604 |
| aou + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.4977512 | -0.5207521 | -0.4781334 |
| aou + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.4947872 | -0.5250019 | -0.4699429 |
| aou + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.4045952 | -0.4703552 | -0.3538409 |
| aou + phosphate_star | Indo-Pacific | (28.1, Inf] | 0.0431961 | 0.0165940 | 0.0576876 |
| aou + silicate | Atlantic | (-Inf,26] | 0.1177800 | 0.0428611 | 0.1985943 |
| aou + silicate | Atlantic | (26,26.5] | 0.2719832 | 0.2386089 | 0.2982113 |
| aou + silicate | Atlantic | (26.5,26.75] | 0.6146954 | 0.5880293 | 0.6407427 |
| aou + silicate | Atlantic | (26.75,27] | 0.8057186 | 0.7988995 | 0.8151206 |
| aou + silicate | Atlantic | (27,27.25] | 0.7493190 | 0.7441654 | 0.7544708 |
| aou + silicate | Atlantic | (27.25,27.5] | 0.5345390 | 0.5232626 | 0.5531612 |
| aou + silicate | Atlantic | (27.5,27.75] | 0.2049043 | 0.1991621 | 0.2117942 |
| aou + silicate | Atlantic | (27.75,27.85] | -0.0503226 | -0.0713663 | -0.0292156 |
| aou + silicate | Atlantic | (27.85,27.95] | 0.2902323 | 0.1731313 | 0.4132160 |
| aou + silicate | Atlantic | (27.95,28.05] | 0.1384738 | 0.1056334 | 0.1633169 |
| aou + silicate | Atlantic | (28.05,28.1] | 0.5162285 | 0.4742424 | 0.5701858 |
| aou + silicate | Atlantic | (28.1,28.15] | 0.8783083 | 0.8617460 | 0.8926386 |
| aou + silicate | Atlantic | (28.15,28.2] | 0.9466715 | 0.9418001 | 0.9509036 |
| aou + silicate | Atlantic | (28.2, Inf] | 0.6734468 | 0.6526341 | 0.6989391 |
| aou + silicate | Indo-Pacific | (-Inf,26] | 0.8361554 | 0.8329494 | 0.8385854 |
| aou + silicate | Indo-Pacific | (26,26.5] | 0.7718303 | 0.7713108 | 0.7724491 |
| aou + silicate | Indo-Pacific | (26.5,26.75] | 0.7817836 | 0.7773970 | 0.7887765 |
| aou + silicate | Indo-Pacific | (26.75,27] | 0.8720541 | 0.8701964 | 0.8731531 |
| aou + silicate | Indo-Pacific | (27,27.25] | 0.9442197 | 0.9437933 | 0.9447528 |
| aou + silicate | Indo-Pacific | (27.25,27.5] | 0.9578937 | 0.9574716 | 0.9583655 |
| aou + silicate | Indo-Pacific | (27.5,27.75] | 0.9683400 | 0.9676824 | 0.9688193 |
| aou + silicate | Indo-Pacific | (27.75,27.85] | 0.9844703 | 0.9836804 | 0.9850038 |
| aou + silicate | Indo-Pacific | (27.85,27.95] | 0.9846506 | 0.9840622 | 0.9850023 |
| aou + silicate | Indo-Pacific | (27.95,28.05] | 0.9835186 | 0.9829689 | 0.9838504 |
| aou + silicate | Indo-Pacific | (28.05,28.1] | 0.9886256 | 0.9875815 | 0.9892119 |
| aou + silicate | Indo-Pacific | (28.1, Inf] | 0.8363689 | 0.8338063 | 0.8383051 |
| oxygen + phosphate | Atlantic | (-Inf,26] | -0.8561784 | -0.8717413 | -0.8430916 |
| oxygen + phosphate | Atlantic | (26,26.5] | -0.7491653 | -0.7555511 | -0.7382130 |
| oxygen + phosphate | Atlantic | (26.5,26.75] | -0.9124423 | -0.9153254 | -0.9074961 |
| oxygen + phosphate | Atlantic | (26.75,27] | -0.9429353 | -0.9461338 | -0.9377825 |
| oxygen + phosphate | Atlantic | (27,27.25] | -0.8843881 | -0.8916201 | -0.8759612 |
| oxygen + phosphate | Atlantic | (27.25,27.5] | -0.6693659 | -0.6964633 | -0.6465705 |
| oxygen + phosphate | Atlantic | (27.5,27.75] | -0.4181655 | -0.4205410 | -0.4154332 |
| oxygen + phosphate | Atlantic | (27.75,27.85] | -0.0906757 | -0.0995574 | -0.0768112 |
| oxygen + phosphate | Atlantic | (27.85,27.95] | -0.1050657 | -0.1866565 | -0.0210237 |
| oxygen + phosphate | Atlantic | (27.95,28.05] | 0.1922147 | 0.1742049 | 0.2254700 |
| oxygen + phosphate | Atlantic | (28.05,28.1] | 0.0041588 | -0.0525694 | 0.0431054 |
| oxygen + phosphate | Atlantic | (28.1,28.15] | -0.4796577 | -0.5259000 | -0.4300347 |
| oxygen + phosphate | Atlantic | (28.15,28.2] | -0.6892768 | -0.7139721 | -0.6618653 |
| oxygen + phosphate | Atlantic | (28.2, Inf] | -0.6250852 | -0.6444532 | -0.6148223 |
| oxygen + phosphate | Indo-Pacific | (-Inf,26] | -0.8961381 | -0.8992033 | -0.8933659 |
| oxygen + phosphate | Indo-Pacific | (26,26.5] | -0.8944048 | -0.8977700 | -0.8915881 |
| oxygen + phosphate | Indo-Pacific | (26.5,26.75] | -0.9193688 | -0.9215996 | -0.9160231 |
| oxygen + phosphate | Indo-Pacific | (26.75,27] | -0.9183209 | -0.9211212 | -0.9133873 |
| oxygen + phosphate | Indo-Pacific | (27,27.25] | -0.9637935 | -0.9653070 | -0.9627970 |
| oxygen + phosphate | Indo-Pacific | (27.25,27.5] | -0.9727748 | -0.9731888 | -0.9724998 |
| oxygen + phosphate | Indo-Pacific | (27.5,27.75] | -0.9769531 | -0.9772922 | -0.9766083 |
| oxygen + phosphate | Indo-Pacific | (27.75,27.85] | -0.9880962 | -0.9886064 | -0.9873352 |
| oxygen + phosphate | Indo-Pacific | (27.85,27.95] | -0.9885168 | -0.9888349 | -0.9882310 |
| oxygen + phosphate | Indo-Pacific | (27.95,28.05] | -0.9790074 | -0.9791879 | -0.9787638 |
| oxygen + phosphate | Indo-Pacific | (28.05,28.1] | -0.9845374 | -0.9846511 | -0.9843399 |
| oxygen + phosphate | Indo-Pacific | (28.1, Inf] | -0.9844362 | -0.9857160 | -0.9828415 |
| oxygen + phosphate_star | Atlantic | (-Inf,26] | -0.0112741 | -0.0477429 | 0.0360426 |
| oxygen + phosphate_star | Atlantic | (26,26.5] | -0.1376509 | -0.1697933 | -0.1051759 |
| oxygen + phosphate_star | Atlantic | (26.5,26.75] | -0.0576016 | -0.0856505 | -0.0234779 |
| oxygen + phosphate_star | Atlantic | (26.75,27] | 0.1887458 | 0.1676519 | 0.1995057 |
| oxygen + phosphate_star | Atlantic | (27,27.25] | 0.1312610 | 0.1144152 | 0.1475808 |
| oxygen + phosphate_star | Atlantic | (27.25,27.5] | 0.2976604 | 0.2806382 | 0.3206067 |
| oxygen + phosphate_star | Atlantic | (27.5,27.75] | 0.4004248 | 0.3971719 | 0.4041347 |
| oxygen + phosphate_star | Atlantic | (27.75,27.85] | 0.5345344 | 0.5062853 | 0.5551453 |
| oxygen + phosphate_star | Atlantic | (27.85,27.95] | 0.2785345 | 0.1718886 | 0.3830049 |
| oxygen + phosphate_star | Atlantic | (27.95,28.05] | 0.5769289 | 0.5637805 | 0.6004303 |
| oxygen + phosphate_star | Atlantic | (28.05,28.1] | 0.3485762 | 0.2870151 | 0.3956223 |
| oxygen + phosphate_star | Atlantic | (28.1,28.15] | -0.2407600 | -0.2966581 | -0.1760807 |
| oxygen + phosphate_star | Atlantic | (28.15,28.2] | -0.5170380 | -0.5487991 | -0.4818802 |
| oxygen + phosphate_star | Atlantic | (28.2, Inf] | -0.3846699 | -0.4190077 | -0.3659288 |
| oxygen + phosphate_star | Indo-Pacific | (-Inf,26] | -0.3930470 | -0.4053500 | -0.3820870 |
| oxygen + phosphate_star | Indo-Pacific | (26,26.5] | -0.2440000 | -0.2506277 | -0.2388408 |
| oxygen + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.2948899 | -0.3100719 | -0.2676806 |
| oxygen + phosphate_star | Indo-Pacific | (26.75,27] | -0.4286243 | -0.4449367 | -0.4182219 |
| oxygen + phosphate_star | Indo-Pacific | (27,27.25] | -0.6225135 | -0.6474225 | -0.6036492 |
| oxygen + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.2582455 | -0.3045932 | -0.1962707 |
| oxygen + phosphate_star | Indo-Pacific | (27.5,27.75] | 0.4017446 | 0.3478763 | 0.4619394 |
| oxygen + phosphate_star | Indo-Pacific | (27.75,27.85] | 0.6869012 | 0.6765029 | 0.6956954 |
| oxygen + phosphate_star | Indo-Pacific | (27.85,27.95] | 0.5410844 | 0.5225184 | 0.5637108 |
| oxygen + phosphate_star | Indo-Pacific | (27.95,28.05] | 0.5346810 | 0.5115765 | 0.5626931 |
| oxygen + phosphate_star | Indo-Pacific | (28.05,28.1] | 0.4386667 | 0.3910737 | 0.5002795 |
| oxygen + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.0081614 | -0.0209234 | 0.0167776 |
| oxygen + silicate | Atlantic | (-Inf,26] | 0.0336964 | -0.0537481 | 0.1312885 |
| oxygen + silicate | Atlantic | (26,26.5] | -0.3371561 | -0.3645273 | -0.3006961 |
| oxygen + silicate | Atlantic | (26.5,26.75] | -0.6240514 | -0.6468373 | -0.6026019 |
| oxygen + silicate | Atlantic | (26.75,27] | -0.7813288 | -0.7933887 | -0.7737833 |
| oxygen + silicate | Atlantic | (27,27.25] | -0.7009099 | -0.7114752 | -0.6901284 |
| oxygen + silicate | Atlantic | (27.25,27.5] | -0.4351298 | -0.4657007 | -0.4138265 |
| oxygen + silicate | Atlantic | (27.5,27.75] | -0.1364067 | -0.1459965 | -0.1205925 |
| oxygen + silicate | Atlantic | (27.75,27.85] | 0.2397059 | 0.2225527 | 0.2562179 |
| oxygen + silicate | Atlantic | (27.85,27.95] | 0.1440387 | 0.0532541 | 0.2361192 |
| oxygen + silicate | Atlantic | (27.95,28.05] | 0.2346373 | 0.2162197 | 0.2646385 |
| oxygen + silicate | Atlantic | (28.05,28.1] | -0.0479350 | -0.0945882 | -0.0221648 |
| oxygen + silicate | Atlantic | (28.1,28.15] | -0.5564742 | -0.5946930 | -0.5152456 |
| oxygen + silicate | Atlantic | (28.15,28.2] | -0.8100394 | -0.8291663 | -0.7905672 |
| oxygen + silicate | Atlantic | (28.2, Inf] | -0.6224432 | -0.6487729 | -0.6054267 |
| oxygen + silicate | Indo-Pacific | (-Inf,26] | -0.7265419 | -0.7305138 | -0.7200307 |
| oxygen + silicate | Indo-Pacific | (26,26.5] | -0.6659754 | -0.6673957 | -0.6649379 |
| oxygen + silicate | Indo-Pacific | (26.5,26.75] | -0.6787892 | -0.6869886 | -0.6716638 |
| oxygen + silicate | Indo-Pacific | (26.75,27] | -0.7731259 | -0.7773507 | -0.7666923 |
| oxygen + silicate | Indo-Pacific | (27,27.25] | -0.9051840 | -0.9059620 | -0.9042366 |
| oxygen + silicate | Indo-Pacific | (27.25,27.5] | -0.9354014 | -0.9357179 | -0.9352160 |
| oxygen + silicate | Indo-Pacific | (27.5,27.75] | -0.9515936 | -0.9521740 | -0.9509306 |
| oxygen + silicate | Indo-Pacific | (27.75,27.85] | -0.9769314 | -0.9776155 | -0.9756210 |
| oxygen + silicate | Indo-Pacific | (27.85,27.95] | -0.9783478 | -0.9788836 | -0.9777939 |
| oxygen + silicate | Indo-Pacific | (27.95,28.05] | -0.9776202 | -0.9780562 | -0.9773212 |
| oxygen + silicate | Indo-Pacific | (28.05,28.1] | -0.9851658 | -0.9857171 | -0.9843002 |
| oxygen + silicate | Indo-Pacific | (28.1, Inf] | -0.8332339 | -0.8360423 | -0.8295480 |
| phosphate + phosphate_star | Atlantic | (-Inf,26] | 0.5250520 | 0.4582282 | 0.5774083 |
| phosphate + phosphate_star | Atlantic | (26,26.5] | 0.7588389 | 0.7309221 | 0.7756182 |
| phosphate + phosphate_star | Atlantic | (26.5,26.75] | 0.4609493 | 0.4412509 | 0.4814148 |
| phosphate + phosphate_star | Atlantic | (26.75,27] | 0.1488164 | 0.1327271 | 0.1605721 |
| phosphate + phosphate_star | Atlantic | (27,27.25] | 0.3463175 | 0.3162404 | 0.3789905 |
| phosphate + phosphate_star | Atlantic | (27.25,27.5] | 0.5096226 | 0.4933008 | 0.5202769 |
| phosphate + phosphate_star | Atlantic | (27.5,27.75] | 0.6649111 | 0.6599274 | 0.6698035 |
| phosphate + phosphate_star | Atlantic | (27.75,27.85] | 0.7928840 | 0.7748347 | 0.8076772 |
| phosphate + phosphate_star | Atlantic | (27.85,27.95] | 0.9250857 | 0.9154900 | 0.9357191 |
| phosphate + phosphate_star | Atlantic | (27.95,28.05] | 0.9124146 | 0.9112701 | 0.9144645 |
| phosphate + phosphate_star | Atlantic | (28.05,28.1] | 0.9385407 | 0.9346131 | 0.9415133 |
| phosphate + phosphate_star | Atlantic | (28.1,28.15] | 0.9670449 | 0.9644274 | 0.9684368 |
| phosphate + phosphate_star | Atlantic | (28.15,28.2] | 0.9765000 | 0.9757871 | 0.9771408 |
| phosphate + phosphate_star | Atlantic | (28.2, Inf] | 0.9609148 | 0.9585296 | 0.9643142 |
| phosphate + phosphate_star | Indo-Pacific | (-Inf,26] | 0.7602704 | 0.7565811 | 0.7644660 |
| phosphate + phosphate_star | Indo-Pacific | (26,26.5] | 0.6519482 | 0.6488668 | 0.6555652 |
| phosphate + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.6469652 | 0.6316892 | 0.6547737 |
| phosphate + phosphate_star | Indo-Pacific | (26.75,27] | 0.7511701 | 0.7421574 | 0.7595747 |
| phosphate + phosphate_star | Indo-Pacific | (27,27.25] | 0.8086155 | 0.7966290 | 0.8239674 |
| phosphate + phosphate_star | Indo-Pacific | (27.25,27.5] | 0.4748480 | 0.4192468 | 0.5175535 |
| phosphate + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.1973377 | -0.2604249 | -0.1413155 |
| phosphate + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.5669797 | -0.5729218 | -0.5565211 |
| phosphate + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.4078420 | -0.4322318 | -0.3896299 |
| phosphate + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.3512979 | -0.3812845 | -0.3259960 |
| phosphate + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.2747125 | -0.3413173 | -0.2227075 |
| phosphate + phosphate_star | Indo-Pacific | (28.1, Inf] | 0.1835974 | 0.1518542 | 0.2049764 |
| sal + aou | Atlantic | (-Inf,26] | -0.4062646 | -0.4569132 | -0.3689498 |
| sal + aou | Atlantic | (26,26.5] | -0.3776050 | -0.4236720 | -0.3414765 |
| sal + aou | Atlantic | (26.5,26.75] | 0.2610390 | 0.2482607 | 0.2831258 |
| sal + aou | Atlantic | (26.75,27] | 0.4513904 | 0.4388865 | 0.4598370 |
| sal + aou | Atlantic | (27,27.25] | 0.3898990 | 0.3531036 | 0.4272745 |
| sal + aou | Atlantic | (27.25,27.5] | 0.4297204 | 0.4207392 | 0.4447274 |
| sal + aou | Atlantic | (27.5,27.75] | 0.6826882 | 0.6744922 | 0.6957271 |
| sal + aou | Atlantic | (27.75,27.85] | 0.6833351 | 0.6314365 | 0.7159754 |
| sal + aou | Atlantic | (27.85,27.95] | 0.2311877 | 0.0960043 | 0.3666390 |
| sal + aou | Atlantic | (27.95,28.05] | 0.2158888 | 0.1931916 | 0.2453183 |
| sal + aou | Atlantic | (28.05,28.1] | -0.1554728 | -0.2272560 | -0.0888771 |
| sal + aou | Atlantic | (28.1,28.15] | -0.6713629 | -0.6998516 | -0.6355779 |
| sal + aou | Atlantic | (28.15,28.2] | -0.7965897 | -0.8039091 | -0.7836805 |
| sal + aou | Atlantic | (28.2, Inf] | -0.5405990 | -0.5637477 | -0.5150389 |
| sal + aou | Indo-Pacific | (-Inf,26] | -0.2331734 | -0.2382909 | -0.2297198 |
| sal + aou | Indo-Pacific | (26,26.5] | -0.1600378 | -0.1625333 | -0.1554548 |
| sal + aou | Indo-Pacific | (26.5,26.75] | -0.1840466 | -0.1889324 | -0.1753521 |
| sal + aou | Indo-Pacific | (26.75,27] | -0.4161478 | -0.4229152 | -0.4030782 |
| sal + aou | Indo-Pacific | (27,27.25] | -0.6268290 | -0.6455661 | -0.6128213 |
| sal + aou | Indo-Pacific | (27.25,27.5] | -0.2994425 | -0.3486204 | -0.2463665 |
| sal + aou | Indo-Pacific | (27.5,27.75] | 0.5174474 | 0.4739132 | 0.5762683 |
| sal + aou | Indo-Pacific | (27.75,27.85] | 0.7988859 | 0.7942414 | 0.8038401 |
| sal + aou | Indo-Pacific | (27.85,27.95] | 0.8144371 | 0.8120544 | 0.8161352 |
| sal + aou | Indo-Pacific | (27.95,28.05] | 0.8638350 | 0.8547387 | 0.8734655 |
| sal + aou | Indo-Pacific | (28.05,28.1] | 0.8822113 | 0.8696951 | 0.8918014 |
| sal + aou | Indo-Pacific | (28.1, Inf] | 0.4363003 | 0.4208270 | 0.4502529 |
| sal + oxygen | Atlantic | (-Inf,26] | 0.1929090 | 0.1224125 | 0.2589550 |
| sal + oxygen | Atlantic | (26,26.5] | 0.0852776 | 0.0611083 | 0.1308298 |
| sal + oxygen | Atlantic | (26.5,26.75] | -0.3759720 | -0.3997569 | -0.3629365 |
| sal + oxygen | Atlantic | (26.75,27] | -0.5299677 | -0.5379202 | -0.5182205 |
| sal + oxygen | Atlantic | (27,27.25] | -0.4917114 | -0.5218653 | -0.4639936 |
| sal + oxygen | Atlantic | (27.25,27.5] | -0.5742084 | -0.5843886 | -0.5686286 |
| sal + oxygen | Atlantic | (27.5,27.75] | -0.7995414 | -0.8078733 | -0.7948244 |
| sal + oxygen | Atlantic | (27.75,27.85] | -0.8226487 | -0.8377622 | -0.7950878 |
| sal + oxygen | Atlantic | (27.85,27.95] | -0.6346908 | -0.7190517 | -0.5575949 |
| sal + oxygen | Atlantic | (27.95,28.05] | -0.5640265 | -0.5865256 | -0.5495736 |
| sal + oxygen | Atlantic | (28.05,28.1] | -0.3420075 | -0.3835030 | -0.2896041 |
| sal + oxygen | Atlantic | (28.1,28.15] | 0.2356065 | 0.1752905 | 0.2888921 |
| sal + oxygen | Atlantic | (28.15,28.2] | 0.4672493 | 0.4323411 | 0.4914864 |
| sal + oxygen | Atlantic | (28.2, Inf] | 0.1331690 | 0.0953505 | 0.1709365 |
| sal + oxygen | Indo-Pacific | (-Inf,26] | 0.0147485 | 0.0111770 | 0.0213732 |
| sal + oxygen | Indo-Pacific | (26,26.5] | -0.0288456 | -0.0301876 | -0.0271944 |
| sal + oxygen | Indo-Pacific | (26.5,26.75] | 0.0009175 | -0.0087445 | 0.0081880 |
| sal + oxygen | Indo-Pacific | (26.75,27] | 0.2124091 | 0.2039854 | 0.2188715 |
| sal + oxygen | Indo-Pacific | (27,27.25] | 0.5273612 | 0.5130528 | 0.5474044 |
| sal + oxygen | Indo-Pacific | (27.25,27.5] | 0.2261064 | 0.1717269 | 0.2761940 |
| sal + oxygen | Indo-Pacific | (27.5,27.75] | -0.5702745 | -0.6263395 | -0.5288256 |
| sal + oxygen | Indo-Pacific | (27.75,27.85] | -0.8300173 | -0.8341324 | -0.8269411 |
| sal + oxygen | Indo-Pacific | (27.85,27.95] | -0.8425844 | -0.8442441 | -0.8401462 |
| sal + oxygen | Indo-Pacific | (27.95,28.05] | -0.8868084 | -0.8948460 | -0.8790186 |
| sal + oxygen | Indo-Pacific | (28.05,28.1] | -0.9017968 | -0.9095186 | -0.8913665 |
| sal + oxygen | Indo-Pacific | (28.1, Inf] | -0.4544992 | -0.4681646 | -0.4392302 |
| sal + phosphate | Atlantic | (-Inf,26] | -0.2911109 | -0.3888854 | -0.2351049 |
| sal + phosphate | Atlantic | (26,26.5] | -0.6415071 | -0.6619704 | -0.6136488 |
| sal + phosphate | Atlantic | (26.5,26.75] | 0.0130512 | 0.0005468 | 0.0334390 |
| sal + phosphate | Atlantic | (26.75,27] | 0.2815793 | 0.2708340 | 0.2971710 |
| sal + phosphate | Atlantic | (27,27.25] | 0.1089767 | 0.0560839 | 0.1651019 |
| sal + phosphate | Atlantic | (27.25,27.5] | -0.1238997 | -0.1728969 | -0.0617804 |
| sal + phosphate | Atlantic | (27.5,27.75] | 0.1264645 | 0.0886744 | 0.1740041 |
| sal + phosphate | Atlantic | (27.75,27.85] | -0.4203209 | -0.4607403 | -0.3887917 |
| sal + phosphate | Atlantic | (27.85,27.95] | -0.6392639 | -0.6642959 | -0.6243918 |
| sal + phosphate | Atlantic | (27.95,28.05] | -0.8570723 | -0.8633370 | -0.8481127 |
| sal + phosphate | Atlantic | (28.05,28.1] | -0.9197810 | -0.9222922 | -0.9181476 |
| sal + phosphate | Atlantic | (28.1,28.15] | -0.9557962 | -0.9583677 | -0.9543802 |
| sal + phosphate | Atlantic | (28.15,28.2] | -0.9460025 | -0.9487662 | -0.9428381 |
| sal + phosphate | Atlantic | (28.2, Inf] | -0.6991414 | -0.7060614 | -0.6950667 |
| sal + phosphate | Indo-Pacific | (-Inf,26] | -0.3535559 | -0.3558418 | -0.3499962 |
| sal + phosphate | Indo-Pacific | (26,26.5] | -0.3782104 | -0.3830931 | -0.3706121 |
| sal + phosphate | Indo-Pacific | (26.5,26.75] | -0.3629457 | -0.3662674 | -0.3585739 |
| sal + phosphate | Indo-Pacific | (26.75,27] | -0.5310904 | -0.5483642 | -0.5154593 |
| sal + phosphate | Indo-Pacific | (27,27.25] | -0.7053193 | -0.7164621 | -0.6963493 |
| sal + phosphate | Indo-Pacific | (27.25,27.5] | -0.3993491 | -0.4490935 | -0.3442137 |
| sal + phosphate | Indo-Pacific | (27.5,27.75] | 0.4195491 | 0.3749865 | 0.4793682 |
| sal + phosphate | Indo-Pacific | (27.75,27.85] | 0.7489016 | 0.7407569 | 0.7566652 |
| sal + phosphate | Indo-Pacific | (27.85,27.95] | 0.7743361 | 0.7727415 | 0.7756260 |
| sal + phosphate | Indo-Pacific | (27.95,28.05] | 0.8147132 | 0.8040411 | 0.8254605 |
| sal + phosphate | Indo-Pacific | (28.05,28.1] | 0.8380885 | 0.8226606 | 0.8512550 |
| sal + phosphate | Indo-Pacific | (28.1, Inf] | 0.4458058 | 0.4314369 | 0.4581853 |
| sal + phosphate_star | Atlantic | (-Inf,26] | -0.2430926 | -0.3278989 | -0.1505424 |
| sal + phosphate_star | Atlantic | (26,26.5] | -0.8757327 | -0.8923127 | -0.8670023 |
| sal + phosphate_star | Atlantic | (26.5,26.75] | -0.7839335 | -0.8038140 | -0.7735610 |
| sal + phosphate_star | Atlantic | (26.75,27] | -0.7433979 | -0.7666103 | -0.7264066 |
| sal + phosphate_star | Atlantic | (27,27.25] | -0.7569740 | -0.7746242 | -0.7327742 |
| sal + phosphate_star | Atlantic | (27.25,27.5] | -0.8238016 | -0.8534970 | -0.7910246 |
| sal + phosphate_star | Atlantic | (27.5,27.75] | -0.5298907 | -0.5641172 | -0.4935860 |
| sal + phosphate_star | Atlantic | (27.75,27.85] | -0.8603089 | -0.8704549 | -0.8535605 |
| sal + phosphate_star | Atlantic | (27.85,27.95] | -0.8603273 | -0.8706289 | -0.8440294 |
| sal + phosphate_star | Atlantic | (27.95,28.05] | -0.9485600 | -0.9536619 | -0.9426898 |
| sal + phosphate_star | Atlantic | (28.05,28.1] | -0.9800714 | -0.9805493 | -0.9791847 |
| sal + phosphate_star | Atlantic | (28.1,28.15] | -0.9890491 | -0.9911631 | -0.9867078 |
| sal + phosphate_star | Atlantic | (28.15,28.2] | -0.9788088 | -0.9807036 | -0.9759401 |
| sal + phosphate_star | Atlantic | (28.2, Inf] | -0.7796586 | -0.7866398 | -0.7676352 |
| sal + phosphate_star | Indo-Pacific | (-Inf,26] | -0.7110137 | -0.7155861 | -0.7075781 |
| sal + phosphate_star | Indo-Pacific | (26,26.5] | -0.8690164 | -0.8758677 | -0.8647775 |
| sal + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.8797529 | -0.8912219 | -0.8718460 |
| sal + phosphate_star | Indo-Pacific | (26.75,27] | -0.8580166 | -0.8763250 | -0.8488207 |
| sal + phosphate_star | Indo-Pacific | (27,27.25] | -0.9066968 | -0.9100266 | -0.9032651 |
| sal + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.8072122 | -0.8239302 | -0.7797753 |
| sal + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.8208790 | -0.8351081 | -0.8114991 |
| sal + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.9065033 | -0.9181091 | -0.8996453 |
| sal + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.7818333 | -0.8027658 | -0.7683643 |
| sal + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.6961295 | -0.7067002 | -0.6885578 |
| sal + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.6512503 | -0.6744568 | -0.6344230 |
| sal + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.0060324 | -0.0273991 | 0.0077986 |
| sal + silicate | Atlantic | (-Inf,26] | -0.7666791 | -0.7830523 | -0.7520002 |
| sal + silicate | Atlantic | (26,26.5] | 0.1487404 | 0.1172642 | 0.1710247 |
| sal + silicate | Atlantic | (26.5,26.75] | 0.3009731 | 0.2777178 | 0.3435170 |
| sal + silicate | Atlantic | (26.75,27] | 0.2050417 | 0.1942691 | 0.2263134 |
| sal + silicate | Atlantic | (27,27.25] | -0.0317965 | -0.0844415 | 0.0293438 |
| sal + silicate | Atlantic | (27.25,27.5] | -0.2705320 | -0.3189942 | -0.2052475 |
| sal + silicate | Atlantic | (27.5,27.75] | -0.0844472 | -0.1314136 | -0.0360830 |
| sal + silicate | Atlantic | (27.75,27.85] | -0.6714757 | -0.7067732 | -0.6395989 |
| sal + silicate | Atlantic | (27.85,27.95] | -0.7944241 | -0.8153488 | -0.7679733 |
| sal + silicate | Atlantic | (27.95,28.05] | -0.8944690 | -0.8983794 | -0.8879716 |
| sal + silicate | Atlantic | (28.05,28.1] | -0.9056015 | -0.9097075 | -0.8980791 |
| sal + silicate | Atlantic | (28.1,28.15] | -0.9216547 | -0.9260961 | -0.9178318 |
| sal + silicate | Atlantic | (28.15,28.2] | -0.7961999 | -0.8044057 | -0.7890895 |
| sal + silicate | Atlantic | (28.2, Inf] | -0.1076821 | -0.1117152 | -0.1022324 |
| sal + silicate | Indo-Pacific | (-Inf,26] | -0.5419447 | -0.5467874 | -0.5333976 |
| sal + silicate | Indo-Pacific | (26,26.5] | -0.5840050 | -0.5893446 | -0.5798730 |
| sal + silicate | Indo-Pacific | (26.5,26.75] | -0.6111466 | -0.6174231 | -0.6047020 |
| sal + silicate | Indo-Pacific | (26.75,27] | -0.6779054 | -0.6898384 | -0.6666455 |
| sal + silicate | Indo-Pacific | (27,27.25] | -0.7740539 | -0.7842916 | -0.7640305 |
| sal + silicate | Indo-Pacific | (27.25,27.5] | -0.4965759 | -0.5407315 | -0.4446429 |
| sal + silicate | Indo-Pacific | (27.5,27.75] | 0.3570432 | 0.3095308 | 0.4206851 |
| sal + silicate | Indo-Pacific | (27.75,27.85] | 0.7269077 | 0.7170648 | 0.7361142 |
| sal + silicate | Indo-Pacific | (27.85,27.95] | 0.7702858 | 0.7681153 | 0.7738050 |
| sal + silicate | Indo-Pacific | (27.95,28.05] | 0.8291528 | 0.8172643 | 0.8405078 |
| sal + silicate | Indo-Pacific | (28.05,28.1] | 0.8549575 | 0.8415226 | 0.8651257 |
| sal + silicate | Indo-Pacific | (28.1, Inf] | 0.7352861 | 0.7218278 | 0.7465952 |
| sal + temp | Atlantic | (-Inf,26] | 0.6604365 | 0.6490670 | 0.6796755 |
| sal + temp | Atlantic | (26,26.5] | 0.9581285 | 0.9550581 | 0.9602678 |
| sal + temp | Atlantic | (26.5,26.75] | 0.9696455 | 0.9677213 | 0.9730188 |
| sal + temp | Atlantic | (26.75,27] | 0.9722644 | 0.9697470 | 0.9739595 |
| sal + temp | Atlantic | (27,27.25] | 0.9657251 | 0.9653764 | 0.9660299 |
| sal + temp | Atlantic | (27.25,27.5] | 0.9738815 | 0.9727263 | 0.9750673 |
| sal + temp | Atlantic | (27.5,27.75] | 0.9675060 | 0.9667786 | 0.9685357 |
| sal + temp | Atlantic | (27.75,27.85] | 0.9868502 | 0.9864795 | 0.9870834 |
| sal + temp | Atlantic | (27.85,27.95] | 0.9808757 | 0.9764118 | 0.9833204 |
| sal + temp | Atlantic | (27.95,28.05] | 0.9783842 | 0.9775270 | 0.9792728 |
| sal + temp | Atlantic | (28.05,28.1] | 0.9878533 | 0.9872414 | 0.9884037 |
| sal + temp | Atlantic | (28.1,28.15] | 0.9852256 | 0.9849785 | 0.9855916 |
| sal + temp | Atlantic | (28.15,28.2] | 0.9842337 | 0.9841219 | 0.9843017 |
| sal + temp | Atlantic | (28.2, Inf] | 0.9165717 | 0.9088456 | 0.9215384 |
| sal + temp | Indo-Pacific | (-Inf,26] | 0.8222864 | 0.8201284 | 0.8246266 |
| sal + temp | Indo-Pacific | (26,26.5] | 0.9550397 | 0.9533648 | 0.9562429 |
| sal + temp | Indo-Pacific | (26.5,26.75] | 0.9809594 | 0.9807897 | 0.9810751 |
| sal + temp | Indo-Pacific | (26.75,27] | 0.9807169 | 0.9797191 | 0.9815621 |
| sal + temp | Indo-Pacific | (27,27.25] | 0.9774531 | 0.9768436 | 0.9782897 |
| sal + temp | Indo-Pacific | (27.25,27.5] | 0.9219953 | 0.9202496 | 0.9231127 |
| sal + temp | Indo-Pacific | (27.5,27.75] | 0.8751626 | 0.8729929 | 0.8762932 |
| sal + temp | Indo-Pacific | (27.75,27.85] | 0.9725914 | 0.9709843 | 0.9743539 |
| sal + temp | Indo-Pacific | (27.85,27.95] | 0.9515315 | 0.9494284 | 0.9542711 |
| sal + temp | Indo-Pacific | (27.95,28.05] | 0.9479928 | 0.9472658 | 0.9486306 |
| sal + temp | Indo-Pacific | (28.05,28.1] | 0.9772837 | 0.9765829 | 0.9783311 |
| sal + temp | Indo-Pacific | (28.1, Inf] | 0.5287939 | 0.5131957 | 0.5414809 |
| silicate + phosphate | Atlantic | (-Inf,26] | -0.1108891 | -0.2206780 | 0.0298299 |
| silicate + phosphate | Atlantic | (26,26.5] | 0.0365889 | 0.0024170 | 0.0775515 |
| silicate + phosphate | Atlantic | (26.5,26.75] | 0.5612932 | 0.5119232 | 0.6052302 |
| silicate + phosphate | Atlantic | (26.75,27] | 0.8472029 | 0.8421307 | 0.8528946 |
| silicate + phosphate | Atlantic | (27,27.25] | 0.9079993 | 0.9050683 | 0.9103604 |
| silicate + phosphate | Atlantic | (27.25,27.5] | 0.9087311 | 0.9065501 | 0.9103433 |
| silicate + phosphate | Atlantic | (27.5,27.75] | 0.9145860 | 0.9121076 | 0.9168095 |
| silicate + phosphate | Atlantic | (27.75,27.85] | 0.8956982 | 0.8945190 | 0.8974453 |
| silicate + phosphate | Atlantic | (27.85,27.95] | 0.9399793 | 0.9347996 | 0.9464344 |
| silicate + phosphate | Atlantic | (27.95,28.05] | 0.9769601 | 0.9764080 | 0.9774905 |
| silicate + phosphate | Atlantic | (28.05,28.1] | 0.9857783 | 0.9850959 | 0.9864724 |
| silicate + phosphate | Atlantic | (28.1,28.15] | 0.9879030 | 0.9875228 | 0.9883290 |
| silicate + phosphate | Atlantic | (28.15,28.2] | 0.9434590 | 0.9423331 | 0.9451416 |
| silicate + phosphate | Atlantic | (28.2, Inf] | 0.7602997 | 0.7531751 | 0.7665049 |
| silicate + phosphate | Indo-Pacific | (-Inf,26] | 0.8857214 | 0.8835508 | 0.8872260 |
| silicate + phosphate | Indo-Pacific | (26,26.5] | 0.8788954 | 0.8765037 | 0.8803575 |
| silicate + phosphate | Indo-Pacific | (26.5,26.75] | 0.8668316 | 0.8639792 | 0.8687257 |
| silicate + phosphate | Indo-Pacific | (26.75,27] | 0.9228419 | 0.9222433 | 0.9232013 |
| silicate + phosphate | Indo-Pacific | (27,27.25] | 0.9601517 | 0.9591100 | 0.9607539 |
| silicate + phosphate | Indo-Pacific | (27.25,27.5] | 0.9742334 | 0.9739650 | 0.9747515 |
| silicate + phosphate | Indo-Pacific | (27.5,27.75] | 0.9828278 | 0.9825550 | 0.9832300 |
| silicate + phosphate | Indo-Pacific | (27.75,27.85] | 0.9900289 | 0.9890934 | 0.9907512 |
| silicate + phosphate | Indo-Pacific | (27.85,27.95] | 0.9901705 | 0.9897852 | 0.9907545 |
| silicate + phosphate | Indo-Pacific | (27.95,28.05] | 0.9942249 | 0.9940157 | 0.9945228 |
| silicate + phosphate | Indo-Pacific | (28.05,28.1] | 0.9949536 | 0.9947761 | 0.9950677 |
| silicate + phosphate | Indo-Pacific | (28.1, Inf] | 0.8763306 | 0.8758965 | 0.8766181 |
| silicate + phosphate_star | Atlantic | (-Inf,26] | -0.1622457 | -0.2465395 | -0.0296334 |
| silicate + phosphate_star | Atlantic | (26,26.5] | -0.2772006 | -0.3154765 | -0.2309406 |
| silicate + phosphate_star | Atlantic | (26.5,26.75] | 0.0171249 | -0.0689974 | 0.0738089 |
| silicate + phosphate_star | Atlantic | (26.75,27] | 0.1777978 | 0.1590836 | 0.1961224 |
| silicate + phosphate_star | Atlantic | (27,27.25] | 0.5195742 | 0.4863158 | 0.5508853 |
| silicate + phosphate_star | Atlantic | (27.25,27.5] | 0.6637930 | 0.6531089 | 0.6741270 |
| silicate + phosphate_star | Atlantic | (27.5,27.75] | 0.8104296 | 0.8014265 | 0.8212999 |
| silicate + phosphate_star | Atlantic | (27.75,27.85] | 0.9062917 | 0.8887847 | 0.9202127 |
| silicate + phosphate_star | Atlantic | (27.85,27.95] | 0.9626592 | 0.9587300 | 0.9681482 |
| silicate + phosphate_star | Atlantic | (27.95,28.05] | 0.9109425 | 0.9101774 | 0.9113690 |
| silicate + phosphate_star | Atlantic | (28.05,28.1] | 0.9071439 | 0.8982928 | 0.9130375 |
| silicate + phosphate_star | Atlantic | (28.1,28.15] | 0.9313512 | 0.9262375 | 0.9340488 |
| silicate + phosphate_star | Atlantic | (28.15,28.2] | 0.8737381 | 0.8708278 | 0.8763922 |
| silicate + phosphate_star | Atlantic | (28.2, Inf] | 0.6782217 | 0.6708205 | 0.6847330 |
| silicate + phosphate_star | Indo-Pacific | (-Inf,26] | 0.7717461 | 0.7693337 | 0.7756372 |
| silicate + phosphate_star | Indo-Pacific | (26,26.5] | 0.7766637 | 0.7759753 | 0.7771998 |
| silicate + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.7897679 | 0.7877944 | 0.7928896 |
| silicate + phosphate_star | Indo-Pacific | (26.75,27] | 0.8171786 | 0.8086671 | 0.8250998 |
| silicate + phosphate_star | Indo-Pacific | (27,27.25] | 0.8209026 | 0.8031250 | 0.8395208 |
| silicate + phosphate_star | Indo-Pacific | (27.25,27.5] | 0.5092828 | 0.4547594 | 0.5500068 |
| silicate + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.1545258 | -0.2204315 | -0.0947077 |
| silicate + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.5542522 | -0.5617871 | -0.5426921 |
| silicate + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.4011510 | -0.4223966 | -0.3865736 |
| silicate + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.3688805 | -0.3968661 | -0.3438888 |
| silicate + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.3040564 | -0.3642864 | -0.2562873 |
| silicate + phosphate_star | Indo-Pacific | (28.1, Inf] | 0.3255520 | 0.2934792 | 0.3496408 |
| temp + aou | Atlantic | (-Inf,26] | -0.6706962 | -0.7046934 | -0.6397576 |
| temp + aou | Atlantic | (26,26.5] | -0.4223480 | -0.4511355 | -0.3974631 |
| temp + aou | Atlantic | (26.5,26.75] | 0.1502000 | 0.1340268 | 0.1704044 |
| temp + aou | Atlantic | (26.75,27] | 0.3928294 | 0.3769225 | 0.4057523 |
| temp + aou | Atlantic | (27,27.25] | 0.3632434 | 0.3302350 | 0.3960109 |
| temp + aou | Atlantic | (27.25,27.5] | 0.4531016 | 0.4427140 | 0.4683424 |
| temp + aou | Atlantic | (27.5,27.75] | 0.6681250 | 0.6615004 | 0.6784605 |
| temp + aou | Atlantic | (27.75,27.85] | 0.6887640 | 0.6425732 | 0.7191718 |
| temp + aou | Atlantic | (27.85,27.95] | 0.2303808 | 0.0963479 | 0.3541226 |
| temp + aou | Atlantic | (27.95,28.05] | 0.3264957 | 0.3045961 | 0.3551246 |
| temp + aou | Atlantic | (28.05,28.1] | -0.0851063 | -0.1594271 | -0.0123631 |
| temp + aou | Atlantic | (28.1,28.15] | -0.6079820 | -0.6362557 | -0.5681850 |
| temp + aou | Atlantic | (28.15,28.2] | -0.7510685 | -0.7625419 | -0.7361302 |
| temp + aou | Atlantic | (28.2, Inf] | -0.6364416 | -0.6461099 | -0.6192575 |
| temp + aou | Indo-Pacific | (-Inf,26] | -0.3770208 | -0.3786895 | -0.3742847 |
| temp + aou | Indo-Pacific | (26,26.5] | -0.2021793 | -0.2054421 | -0.1980450 |
| temp + aou | Indo-Pacific | (26.5,26.75] | -0.1623627 | -0.1687275 | -0.1504496 |
| temp + aou | Indo-Pacific | (26.75,27] | -0.3616401 | -0.3685472 | -0.3494195 |
| temp + aou | Indo-Pacific | (27,27.25] | -0.5900263 | -0.6079131 | -0.5786702 |
| temp + aou | Indo-Pacific | (27.25,27.5] | -0.2592334 | -0.2958664 | -0.2145384 |
| temp + aou | Indo-Pacific | (27.5,27.75] | 0.4256352 | 0.3856943 | 0.4762032 |
| temp + aou | Indo-Pacific | (27.75,27.85] | 0.7857201 | 0.7815670 | 0.7882150 |
| temp + aou | Indo-Pacific | (27.85,27.95] | 0.7844426 | 0.7815618 | 0.7885802 |
| temp + aou | Indo-Pacific | (27.95,28.05] | 0.8194754 | 0.8117819 | 0.8295829 |
| temp + aou | Indo-Pacific | (28.05,28.1] | 0.8571042 | 0.8425968 | 0.8719163 |
| temp + aou | Indo-Pacific | (28.1, Inf] | 0.8156381 | 0.8060443 | 0.8249069 |
| temp + oxygen | Atlantic | (-Inf,26] | 0.3979946 | 0.3705063 | 0.4413983 |
| temp + oxygen | Atlantic | (26,26.5] | 0.1233226 | 0.1090682 | 0.1503499 |
| temp + oxygen | Atlantic | (26.5,26.75] | -0.2713184 | -0.2939578 | -0.2548320 |
| temp + oxygen | Atlantic | (26.75,27] | -0.4763780 | -0.4885931 | -0.4616147 |
| temp + oxygen | Atlantic | (27,27.25] | -0.4703791 | -0.4958803 | -0.4466849 |
| temp + oxygen | Atlantic | (27.25,27.5] | -0.6001227 | -0.6106631 | -0.5915918 |
| temp + oxygen | Atlantic | (27.5,27.75] | -0.7949890 | -0.8009074 | -0.7900978 |
| temp + oxygen | Atlantic | (27.75,27.85] | -0.8310991 | -0.8444834 | -0.8080335 |
| temp + oxygen | Atlantic | (27.85,27.95] | -0.6439609 | -0.7172953 | -0.5663509 |
| temp + oxygen | Atlantic | (27.95,28.05] | -0.6604716 | -0.6811646 | -0.6470077 |
| temp + oxygen | Atlantic | (28.05,28.1] | -0.4122455 | -0.4575020 | -0.3598097 |
| temp + oxygen | Atlantic | (28.1,28.15] | 0.1479529 | 0.0849788 | 0.1992746 |
| temp + oxygen | Atlantic | (28.15,28.2] | 0.3943612 | 0.3571092 | 0.4240782 |
| temp + oxygen | Atlantic | (28.2, Inf] | 0.2084701 | 0.1827059 | 0.2258639 |
| temp + oxygen | Indo-Pacific | (-Inf,26] | 0.1283236 | 0.1259078 | 0.1314939 |
| temp + oxygen | Indo-Pacific | (26,26.5] | 0.0062758 | 0.0017445 | 0.0138972 |
| temp + oxygen | Indo-Pacific | (26.5,26.75] | -0.0253249 | -0.0381677 | -0.0173516 |
| temp + oxygen | Indo-Pacific | (26.75,27] | 0.1489951 | 0.1415774 | 0.1560522 |
| temp + oxygen | Indo-Pacific | (27,27.25] | 0.4842826 | 0.4729073 | 0.5032893 |
| temp + oxygen | Indo-Pacific | (27.25,27.5] | 0.1791469 | 0.1333618 | 0.2162892 |
| temp + oxygen | Indo-Pacific | (27.5,27.75] | -0.4921021 | -0.5410324 | -0.4533547 |
| temp + oxygen | Indo-Pacific | (27.75,27.85] | -0.8205001 | -0.8232390 | -0.8159365 |
| temp + oxygen | Indo-Pacific | (27.85,27.95] | -0.8192782 | -0.8230015 | -0.8168048 |
| temp + oxygen | Indo-Pacific | (27.95,28.05] | -0.8513506 | -0.8597950 | -0.8447707 |
| temp + oxygen | Indo-Pacific | (28.05,28.1] | -0.8808155 | -0.8932581 | -0.8685937 |
| temp + oxygen | Indo-Pacific | (28.1, Inf] | -0.8445995 | -0.8525667 | -0.8364170 |
| temp + phosphate | Atlantic | (-Inf,26] | -0.6888977 | -0.7521368 | -0.6452803 |
| temp + phosphate | Atlantic | (26,26.5] | -0.6592327 | -0.6685501 | -0.6407175 |
| temp + phosphate | Atlantic | (26.5,26.75] | -0.0884151 | -0.1000796 | -0.0685467 |
| temp + phosphate | Atlantic | (26.75,27] | 0.2144376 | 0.2082332 | 0.2266958 |
| temp + phosphate | Atlantic | (27,27.25] | 0.0893949 | 0.0391779 | 0.1406970 |
| temp + phosphate | Atlantic | (27.25,27.5] | -0.0847624 | -0.1316138 | -0.0212447 |
| temp + phosphate | Atlantic | (27.5,27.75] | 0.0941057 | 0.0647368 | 0.1309799 |
| temp + phosphate | Atlantic | (27.75,27.85] | -0.4246572 | -0.4569037 | -0.3969581 |
| temp + phosphate | Atlantic | (27.85,27.95] | -0.6589005 | -0.6764810 | -0.6493754 |
| temp + phosphate | Atlantic | (27.95,28.05] | -0.8265632 | -0.8304338 | -0.8210796 |
| temp + phosphate | Atlantic | (28.05,28.1] | -0.8866884 | -0.8918404 | -0.8822770 |
| temp + phosphate | Atlantic | (28.1,28.15] | -0.9227688 | -0.9243513 | -0.9203422 |
| temp + phosphate | Atlantic | (28.15,28.2] | -0.9269409 | -0.9289907 | -0.9236192 |
| temp + phosphate | Atlantic | (28.2, Inf] | -0.8308890 | -0.8492777 | -0.8128560 |
| temp + phosphate | Indo-Pacific | (-Inf,26] | -0.4993205 | -0.5037008 | -0.4968231 |
| temp + phosphate | Indo-Pacific | (26,26.5] | -0.4262892 | -0.4277956 | -0.4246234 |
| temp + phosphate | Indo-Pacific | (26.5,26.75] | -0.3442073 | -0.3487591 | -0.3415577 |
| temp + phosphate | Indo-Pacific | (26.75,27] | -0.4862052 | -0.5022879 | -0.4710855 |
| temp + phosphate | Indo-Pacific | (27,27.25] | -0.6782463 | -0.6879504 | -0.6718818 |
| temp + phosphate | Indo-Pacific | (27.25,27.5] | -0.3827936 | -0.4206433 | -0.3366120 |
| temp + phosphate | Indo-Pacific | (27.5,27.75] | 0.3063070 | 0.2660524 | 0.3577065 |
| temp + phosphate | Indo-Pacific | (27.75,27.85] | 0.7323028 | 0.7276568 | 0.7374813 |
| temp + phosphate | Indo-Pacific | (27.85,27.95] | 0.7351505 | 0.7331591 | 0.7385016 |
| temp + phosphate | Indo-Pacific | (27.95,28.05] | 0.7492193 | 0.7402004 | 0.7597818 |
| temp + phosphate | Indo-Pacific | (28.05,28.1] | 0.8031850 | 0.7861968 | 0.8214039 |
| temp + phosphate | Indo-Pacific | (28.1, Inf] | 0.7667281 | 0.7508399 | 0.7815563 |
| temp + phosphate_star | Atlantic | (-Inf,26] | -0.6779711 | -0.7302908 | -0.6230139 |
| temp + phosphate_star | Atlantic | (26,26.5] | -0.8646134 | -0.8784317 | -0.8574674 |
| temp + phosphate_star | Atlantic | (26.5,26.75] | -0.8045621 | -0.8240155 | -0.7911259 |
| temp + phosphate_star | Atlantic | (26.75,27] | -0.7823216 | -0.8028899 | -0.7713480 |
| temp + phosphate_star | Atlantic | (27,27.25] | -0.7555835 | -0.7762358 | -0.7316394 |
| temp + phosphate_star | Atlantic | (27.25,27.5] | -0.8034838 | -0.8353609 | -0.7686559 |
| temp + phosphate_star | Atlantic | (27.5,27.75] | -0.5587843 | -0.5875648 | -0.5311938 |
| temp + phosphate_star | Atlantic | (27.75,27.85] | -0.8690431 | -0.8748011 | -0.8643248 |
| temp + phosphate_star | Atlantic | (27.85,27.95] | -0.8826153 | -0.8900096 | -0.8761503 |
| temp + phosphate_star | Atlantic | (27.95,28.05] | -0.9633930 | -0.9648657 | -0.9607528 |
| temp + phosphate_star | Atlantic | (28.05,28.1] | -0.9733564 | -0.9748886 | -0.9712625 |
| temp + phosphate_star | Atlantic | (28.1,28.15] | -0.9779750 | -0.9786070 | -0.9768462 |
| temp + phosphate_star | Atlantic | (28.15,28.2] | -0.9779772 | -0.9794525 | -0.9754261 |
| temp + phosphate_star | Atlantic | (28.2, Inf] | -0.9086166 | -0.9237497 | -0.8870265 |
| temp + phosphate_star | Indo-Pacific | (-Inf,26] | -0.8467833 | -0.8503010 | -0.8442997 |
| temp + phosphate_star | Indo-Pacific | (26,26.5] | -0.9137349 | -0.9167031 | -0.9111623 |
| temp + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.8851309 | -0.8959836 | -0.8764429 |
| temp + phosphate_star | Indo-Pacific | (26.75,27] | -0.8613154 | -0.8788271 | -0.8521545 |
| temp + phosphate_star | Indo-Pacific | (27,27.25] | -0.9222417 | -0.9265320 | -0.9157792 |
| temp + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.9159857 | -0.9279149 | -0.8973211 |
| temp + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.9470870 | -0.9538829 | -0.9408860 |
| temp + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.9341918 | -0.9396733 | -0.9298138 |
| temp + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.8591334 | -0.8734375 | -0.8507479 |
| temp + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.8047010 | -0.8134910 | -0.7989997 |
| temp + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.7151794 | -0.7349195 | -0.6988595 |
| temp + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.3611979 | -0.3685599 | -0.3514506 |
| temp + silicate | Atlantic | (-Inf,26] | -0.3651392 | -0.3884488 | -0.3529087 |
| temp + silicate | Atlantic | (26,26.5] | 0.1118548 | 0.0987413 | 0.1315408 |
| temp + silicate | Atlantic | (26.5,26.75] | 0.2050847 | 0.1819231 | 0.2505844 |
| temp + silicate | Atlantic | (26.75,27] | 0.1019821 | 0.0932263 | 0.1183748 |
| temp + silicate | Atlantic | (27,27.25] | -0.0781814 | -0.1264101 | -0.0235772 |
| temp + silicate | Atlantic | (27.25,27.5] | -0.2324566 | -0.2805431 | -0.1650125 |
| temp + silicate | Atlantic | (27.5,27.75] | -0.1267625 | -0.1651374 | -0.0883813 |
| temp + silicate | Atlantic | (27.75,27.85] | -0.6657131 | -0.6950276 | -0.6355765 |
| temp + silicate | Atlantic | (27.85,27.95] | -0.8039677 | -0.8142140 | -0.7907236 |
| temp + silicate | Atlantic | (27.95,28.05] | -0.8594938 | -0.8621026 | -0.8555638 |
| temp + silicate | Atlantic | (28.05,28.1] | -0.8655830 | -0.8728005 | -0.8532177 |
| temp + silicate | Atlantic | (28.1,28.15] | -0.8821692 | -0.8857513 | -0.8761624 |
| temp + silicate | Atlantic | (28.15,28.2] | -0.7813143 | -0.7873503 | -0.7746203 |
| temp + silicate | Atlantic | (28.2, Inf] | -0.3953665 | -0.4063661 | -0.3896145 |
| temp + silicate | Indo-Pacific | (-Inf,26] | -0.6017360 | -0.6086808 | -0.5952674 |
| temp + silicate | Indo-Pacific | (26,26.5] | -0.6075082 | -0.6127084 | -0.6040884 |
| temp + silicate | Indo-Pacific | (26.5,26.75] | -0.5992953 | -0.6022474 | -0.5934859 |
| temp + silicate | Indo-Pacific | (26.75,27] | -0.6495632 | -0.6600895 | -0.6388424 |
| temp + silicate | Indo-Pacific | (27,27.25] | -0.7595886 | -0.7687879 | -0.7515348 |
| temp + silicate | Indo-Pacific | (27.25,27.5] | -0.4739383 | -0.5074598 | -0.4301510 |
| temp + silicate | Indo-Pacific | (27.5,27.75] | 0.2406359 | 0.1968792 | 0.2943669 |
| temp + silicate | Indo-Pacific | (27.75,27.85] | 0.7102366 | 0.7055165 | 0.7156369 |
| temp + silicate | Indo-Pacific | (27.85,27.95] | 0.7217250 | 0.7200823 | 0.7237674 |
| temp + silicate | Indo-Pacific | (27.95,28.05] | 0.7645153 | 0.7539200 | 0.7756134 |
| temp + silicate | Indo-Pacific | (28.05,28.1] | 0.8228715 | 0.8086531 | 0.8371790 |
| temp + silicate | Indo-Pacific | (28.1, Inf] | 0.6401240 | 0.6178531 | 0.6589035 |
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")
# 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] | 0.0006824 | -0.1490483 | 0.1314943 |
| aou | Atlantic | (26.5,26.75] | -0.0062948 | -0.1579981 | 0.1967323 |
| aou | Atlantic | (26.75,27] | -0.0976286 | -0.3026430 | 0.1521067 |
| aou | Atlantic | (27,27.25] | -0.4094155 | -0.5437903 | -0.2581406 |
| aou | Atlantic | (27.25,27.5] | -0.3058281 | -0.4324190 | -0.1659721 |
| aou | Atlantic | (27.5,27.75] | -0.1405842 | -0.1973962 | -0.0792003 |
| aou | Atlantic | (27.75,27.85] | -0.0363833 | -0.0798699 | -0.0021351 |
| aou | Atlantic | (27.85,27.95] | -0.4960132 | -0.5638601 | -0.4402603 |
| aou | Atlantic | (27.95,28.05] | -0.1382259 | -0.2071309 | -0.0948120 |
| aou | Atlantic | (28.05,28.1] | -0.4321401 | -0.4473223 | -0.4196087 |
| aou | Atlantic | (28.1,28.15] | -0.8149108 | -0.8152321 | -0.8146366 |
| aou | Atlantic | (28.15,28.2] | -0.9082657 | -0.9106662 | -0.9044087 |
| aou | Atlantic | (28.2, Inf] | -0.8005904 | -0.8103598 | -0.7890016 |
| aou | Indo-Pacific | (-Inf,26] | -0.0963426 | -0.2619510 | 0.0527317 |
| aou | Indo-Pacific | (26,26.5] | -0.4622333 | -0.5976599 | -0.2874627 |
| aou | Indo-Pacific | (26.5,26.75] | -0.7487964 | -0.8166416 | -0.6521349 |
| aou | Indo-Pacific | (26.75,27] | -0.8090749 | -0.8672779 | -0.7325671 |
| aou | Indo-Pacific | (27,27.25] | -0.7913142 | -0.8638292 | -0.6963558 |
| aou | Indo-Pacific | (27.25,27.5] | -0.6660582 | -0.8326780 | -0.4150807 |
| aou | Indo-Pacific | (27.5,27.75] | -0.2765598 | -0.7500055 | 0.4099623 |
| aou | Indo-Pacific | (27.75,27.85] | -0.0409437 | -0.6024882 | 0.6915518 |
| aou | Indo-Pacific | (27.85,27.95] | 0.1031628 | -0.3818717 | 0.6528633 |
| aou | Indo-Pacific | (27.95,28.05] | -0.0466444 | -0.4305249 | 0.4255847 |
| aou | Indo-Pacific | (28.05,28.1] | 0.0739391 | -0.3094811 | 0.5178184 |
| aou | Indo-Pacific | (28.1, Inf] | 0.4921644 | 0.3588916 | 0.6198919 |
| oxygen | Atlantic | (-Inf,26] | -0.4569294 | -0.4867139 | -0.4001028 |
| oxygen | Atlantic | (26,26.5] | 0.0747288 | -0.0606627 | 0.2280177 |
| oxygen | Atlantic | (26.5,26.75] | 0.0152935 | -0.1935264 | 0.1735479 |
| oxygen | Atlantic | (26.75,27] | 0.1005444 | -0.1558755 | 0.3065168 |
| oxygen | Atlantic | (27,27.25] | 0.3939334 | 0.2382066 | 0.5339397 |
| oxygen | Atlantic | (27.25,27.5] | 0.2340513 | 0.0762313 | 0.3802792 |
| oxygen | Atlantic | (27.5,27.75] | 0.1225539 | 0.0479820 | 0.1923049 |
| oxygen | Atlantic | (27.75,27.85] | -0.1406321 | -0.1996262 | -0.0776879 |
| oxygen | Atlantic | (27.85,27.95] | 0.1107286 | 0.0819181 | 0.1478899 |
| oxygen | Atlantic | (27.95,28.05] | -0.1930430 | -0.2468287 | -0.1161885 |
| oxygen | Atlantic | (28.05,28.1] | -0.0280508 | -0.0486675 | -0.0056561 |
| oxygen | Atlantic | (28.1,28.15] | 0.4636875 | 0.4527373 | 0.4721987 |
| oxygen | Atlantic | (28.15,28.2] | 0.6632126 | 0.6594691 | 0.6680961 |
| oxygen | Atlantic | (28.2, Inf] | 0.5272477 | 0.5141373 | 0.5438573 |
| oxygen | Indo-Pacific | (-Inf,26] | 0.1985501 | 0.0635880 | 0.3492456 |
| oxygen | Indo-Pacific | (26,26.5] | 0.4216115 | 0.2522408 | 0.5515234 |
| oxygen | Indo-Pacific | (26.5,26.75] | 0.7202953 | 0.6316002 | 0.7828569 |
| oxygen | Indo-Pacific | (26.75,27] | 0.8348820 | 0.7676762 | 0.8823360 |
| oxygen | Indo-Pacific | (27,27.25] | 0.7981246 | 0.7020174 | 0.8718148 |
| oxygen | Indo-Pacific | (27.25,27.5] | 0.6532064 | 0.3980563 | 0.8230089 |
| oxygen | Indo-Pacific | (27.5,27.75] | 0.2613667 | -0.4311113 | 0.7401482 |
| oxygen | Indo-Pacific | (27.75,27.85] | 0.0703049 | -0.6673982 | 0.6320735 |
| oxygen | Indo-Pacific | (27.85,27.95] | -0.0703286 | -0.6256679 | 0.4169543 |
| oxygen | Indo-Pacific | (27.95,28.05] | 0.0862484 | -0.3894986 | 0.4700020 |
| oxygen | Indo-Pacific | (28.05,28.1] | -0.0425524 | -0.4906313 | 0.3422000 |
| oxygen | Indo-Pacific | (28.1, Inf] | -0.4766760 | -0.6103629 | -0.3378258 |
| phosphate | Atlantic | (-Inf,26] | 0.4402535 | 0.3629020 | 0.5016541 |
| phosphate | Atlantic | (26,26.5] | 0.0231824 | -0.0838596 | 0.1036402 |
| phosphate | Atlantic | (26.5,26.75] | -0.1495355 | -0.2835118 | 0.0364510 |
| phosphate | Atlantic | (26.75,27] | -0.2481112 | -0.4310239 | -0.0338118 |
| phosphate | Atlantic | (27,27.25] | -0.6458169 | -0.7374433 | -0.5386546 |
| phosphate | Atlantic | (27.25,27.5] | -0.7802243 | -0.8292070 | -0.7188560 |
| phosphate | Atlantic | (27.5,27.75] | -0.8950568 | -0.9134885 | -0.8730060 |
| phosphate | Atlantic | (27.75,27.85] | -0.9449144 | -0.9522141 | -0.9344548 |
| phosphate | Atlantic | (27.85,27.95] | -0.9722238 | -0.9786287 | -0.9633167 |
| phosphate | Atlantic | (27.95,28.05] | -0.9597184 | -0.9620782 | -0.9558823 |
| phosphate | Atlantic | (28.05,28.1] | -0.9885780 | -0.9900367 | -0.9867592 |
| phosphate | Atlantic | (28.1,28.15] | -0.9929095 | -0.9940464 | -0.9921523 |
| phosphate | Atlantic | (28.15,28.2] | -0.9937885 | -0.9949452 | -0.9924933 |
| phosphate | Atlantic | (28.2, Inf] | -0.9780168 | -0.9807725 | -0.9762173 |
| phosphate | Indo-Pacific | (-Inf,26] | -0.1432395 | -0.3107995 | 0.0110294 |
| phosphate | Indo-Pacific | (26,26.5] | -0.5866252 | -0.7102422 | -0.4253541 |
| phosphate | Indo-Pacific | (26.5,26.75] | -0.8143623 | -0.8717897 | -0.7294770 |
| phosphate | Indo-Pacific | (26.75,27] | -0.8367100 | -0.8811836 | -0.7761624 |
| phosphate | Indo-Pacific | (27,27.25] | -0.8282547 | -0.8861495 | -0.7519136 |
| phosphate | Indo-Pacific | (27.25,27.5] | -0.7199561 | -0.8639312 | -0.5006583 |
| phosphate | Indo-Pacific | (27.5,27.75] | -0.3077663 | -0.7568981 | 0.3480930 |
| phosphate | Indo-Pacific | (27.75,27.85] | 0.0012271 | -0.5502468 | 0.7114011 |
| phosphate | Indo-Pacific | (27.85,27.95] | 0.1437893 | -0.3287483 | 0.6726404 |
| phosphate | Indo-Pacific | (27.95,28.05] | 0.0387412 | -0.3299029 | 0.4870988 |
| phosphate | Indo-Pacific | (28.05,28.1] | 0.1442290 | -0.2179524 | 0.5594772 |
| phosphate | Indo-Pacific | (28.1, Inf] | 0.4638316 | 0.3455955 | 0.5767606 |
| phosphate_star | Atlantic | (-Inf,26] | 0.1011514 | 0.0498067 | 0.1452297 |
| phosphate_star | Atlantic | (26,26.5] | 0.1075981 | 0.0932518 | 0.1347536 |
| phosphate_star | Atlantic | (26.5,26.75] | -0.3313220 | -0.3536565 | -0.3039910 |
| phosphate_star | Atlantic | (26.75,27] | -0.4306697 | -0.5390440 | -0.3622338 |
| phosphate_star | Atlantic | (27,27.25] | -0.5758978 | -0.6523484 | -0.4921346 |
| phosphate_star | Atlantic | (27.25,27.5] | -0.7297849 | -0.8069404 | -0.6481326 |
| phosphate_star | Atlantic | (27.5,27.75] | -0.8019948 | -0.8415493 | -0.7617142 |
| phosphate_star | Atlantic | (27.75,27.85] | -0.8866319 | -0.9281579 | -0.8449938 |
| phosphate_star | Atlantic | (27.85,27.95] | -0.8956414 | -0.9282086 | -0.8570907 |
| phosphate_star | Atlantic | (27.95,28.05] | -0.8792209 | -0.9100347 | -0.8489023 |
| phosphate_star | Atlantic | (28.05,28.1] | -0.9357280 | -0.9587066 | -0.9091095 |
| phosphate_star | Atlantic | (28.1,28.15] | -0.9638590 | -0.9773642 | -0.9492232 |
| phosphate_star | Atlantic | (28.15,28.2] | -0.9770357 | -0.9864388 | -0.9669520 |
| phosphate_star | Atlantic | (28.2, Inf] | -0.9694754 | -0.9788690 | -0.9565256 |
| phosphate_star | Indo-Pacific | (-Inf,26] | -0.0067078 | -0.1347902 | 0.1158792 |
| phosphate_star | Indo-Pacific | (26,26.5] | -0.5570677 | -0.6022742 | -0.5003744 |
| phosphate_star | Indo-Pacific | (26.5,26.75] | -0.5813075 | -0.6059676 | -0.5568690 |
| phosphate_star | Indo-Pacific | (26.75,27] | -0.5179954 | -0.5369605 | -0.4852368 |
| phosphate_star | Indo-Pacific | (27,27.25] | -0.6711656 | -0.6945508 | -0.6480354 |
| phosphate_star | Indo-Pacific | (27.25,27.5] | -0.5297383 | -0.5561789 | -0.5107753 |
| phosphate_star | Indo-Pacific | (27.5,27.75] | -0.1399733 | -0.4999755 | 0.1090058 |
| phosphate_star | Indo-Pacific | (27.75,27.85] | 0.3815853 | -0.2267951 | 0.7878502 |
| phosphate_star | Indo-Pacific | (27.85,27.95] | 0.3803007 | -0.0181880 | 0.6902955 |
| phosphate_star | Indo-Pacific | (27.95,28.05] | 0.5629903 | 0.2472120 | 0.7891929 |
| phosphate_star | Indo-Pacific | (28.05,28.1] | 0.5188025 | 0.2076844 | 0.7609118 |
| phosphate_star | Indo-Pacific | (28.1, Inf] | -0.0214844 | -0.1125968 | 0.0691077 |
| sal | Atlantic | (-Inf,26] | 0.6329389 | 0.6159084 | 0.6581242 |
| sal | Atlantic | (26,26.5] | -0.0950453 | -0.1155099 | -0.0586497 |
| sal | Atlantic | (26.5,26.75] | -0.0610730 | -0.1616480 | 0.0515048 |
| sal | Atlantic | (26.75,27] | -0.1176359 | -0.2419380 | 0.0752622 |
| sal | Atlantic | (27,27.25] | -0.0604729 | -0.1930877 | 0.0621034 |
| sal | Atlantic | (27.25,27.5] | 0.2428429 | 0.0815750 | 0.4002206 |
| sal | Atlantic | (27.5,27.75] | -0.0662468 | -0.1726693 | 0.0397511 |
| sal | Atlantic | (27.75,27.85] | 0.5391256 | 0.4596143 | 0.6329847 |
| sal | Atlantic | (27.85,27.95] | 0.5714413 | 0.5123516 | 0.6365731 |
| sal | Atlantic | (27.95,28.05] | 0.7692805 | 0.7226039 | 0.8143549 |
| sal | Atlantic | (28.05,28.1] | 0.8948865 | 0.8685197 | 0.9158452 |
| sal | Atlantic | (28.1,28.15] | 0.9402902 | 0.9260166 | 0.9592370 |
| sal | Atlantic | (28.15,28.2] | 0.9465060 | 0.9260655 | 0.9639575 |
| sal | Atlantic | (28.2, Inf] | 0.6762985 | 0.6390711 | 0.7033323 |
| sal | Indo-Pacific | (-Inf,26] | -0.0632689 | -0.1296836 | 0.0033318 |
| sal | Indo-Pacific | (26,26.5] | 0.3003825 | 0.2763641 | 0.3304955 |
| sal | Indo-Pacific | (26.5,26.75] | 0.2654368 | 0.2306789 | 0.2835971 |
| sal | Indo-Pacific | (26.75,27] | 0.1828136 | 0.1196013 | 0.2442309 |
| sal | Indo-Pacific | (27,27.25] | 0.4436219 | 0.3919447 | 0.4911330 |
| sal | Indo-Pacific | (27.25,27.5] | 0.2142758 | 0.1368161 | 0.2771281 |
| sal | Indo-Pacific | (27.5,27.75] | -0.1593541 | -0.4342577 | 0.2757749 |
| sal | Indo-Pacific | (27.75,27.85] | -0.3330548 | -0.8060006 | 0.3286839 |
| sal | Indo-Pacific | (27.85,27.95] | -0.2070486 | -0.6435653 | 0.3079577 |
| sal | Indo-Pacific | (27.95,28.05] | -0.3531654 | -0.6858301 | 0.0827998 |
| sal | Indo-Pacific | (28.05,28.1] | -0.2501868 | -0.5984770 | 0.1677732 |
| sal | Indo-Pacific | (28.1, Inf] | -0.0200636 | -0.2202403 | 0.1856615 |
| silicate | Atlantic | (-Inf,26] | -0.6235293 | -0.6822996 | -0.5931277 |
| silicate | Atlantic | (26,26.5] | -0.5093404 | -0.5740153 | -0.4379810 |
| silicate | Atlantic | (26.5,26.75] | -0.3666501 | -0.4750659 | -0.2218988 |
| silicate | Atlantic | (26.75,27] | -0.4560659 | -0.6294062 | -0.2548992 |
| silicate | Atlantic | (27,27.25] | -0.7908733 | -0.8530734 | -0.7118891 |
| silicate | Atlantic | (27.25,27.5] | -0.8753026 | -0.9017861 | -0.8384385 |
| silicate | Atlantic | (27.5,27.75] | -0.9171498 | -0.9185239 | -0.9155889 |
| silicate | Atlantic | (27.75,27.85] | -0.9290193 | -0.9410706 | -0.9174835 |
| silicate | Atlantic | (27.85,27.95] | -0.9067008 | -0.9285901 | -0.8796809 |
| silicate | Atlantic | (27.95,28.05] | -0.9174158 | -0.9251335 | -0.9103238 |
| silicate | Atlantic | (28.05,28.1] | -0.9658083 | -0.9681704 | -0.9617209 |
| silicate | Atlantic | (28.1,28.15] | -0.9775239 | -0.9819129 | -0.9730022 |
| silicate | Atlantic | (28.15,28.2] | -0.9265620 | -0.9353244 | -0.9138045 |
| silicate | Atlantic | (28.2, Inf] | -0.7478464 | -0.7758269 | -0.7087256 |
| silicate | Indo-Pacific | (-Inf,26] | -0.1261189 | -0.2814228 | 0.0087882 |
| silicate | Indo-Pacific | (26,26.5] | -0.6594363 | -0.7532053 | -0.5390698 |
| silicate | Indo-Pacific | (26.5,26.75] | -0.7437066 | -0.7947383 | -0.6664905 |
| silicate | Indo-Pacific | (26.75,27] | -0.6775849 | -0.7293239 | -0.6097373 |
| silicate | Indo-Pacific | (27,27.25] | -0.6931388 | -0.7657052 | -0.5987968 |
| silicate | Indo-Pacific | (27.25,27.5] | -0.6167679 | -0.7744134 | -0.3826825 |
| silicate | Indo-Pacific | (27.5,27.75] | -0.2503160 | -0.7028054 | 0.4027220 |
| silicate | Indo-Pacific | (27.75,27.85] | 0.0275295 | -0.5275915 | 0.7361816 |
| silicate | Indo-Pacific | (27.85,27.95] | 0.1520005 | -0.3257949 | 0.6827522 |
| silicate | Indo-Pacific | (27.95,28.05] | 0.0320706 | -0.3444162 | 0.4920461 |
| silicate | Indo-Pacific | (28.05,28.1] | 0.1409720 | -0.2247137 | 0.5626965 |
| silicate | Indo-Pacific | (28.1, Inf] | 0.3763762 | 0.2205045 | 0.5301459 |
| temp | Atlantic | (-Inf,26] | -0.0491292 | -0.0822790 | -0.0015824 |
| temp | Atlantic | (26,26.5] | -0.2374342 | -0.2596759 | -0.1960558 |
| temp | Atlantic | (26.5,26.75] | -0.0741267 | -0.1555728 | 0.0127791 |
| temp | Atlantic | (26.75,27] | -0.0490542 | -0.1496181 | 0.1194733 |
| temp | Atlantic | (27,27.25] | -0.0347625 | -0.1491391 | 0.0724962 |
| temp | Atlantic | (27.25,27.5] | 0.2081095 | 0.0472510 | 0.3629162 |
| temp | Atlantic | (27.5,27.75] | -0.0282821 | -0.1194432 | 0.0652897 |
| temp | Atlantic | (27.75,27.85] | 0.5506288 | 0.4761536 | 0.6358221 |
| temp | Atlantic | (27.85,27.95] | 0.5969218 | 0.5410243 | 0.6536703 |
| temp | Atlantic | (27.95,28.05] | 0.7524867 | 0.7064418 | 0.7982045 |
| temp | Atlantic | (28.05,28.1] | 0.8605036 | 0.8267967 | 0.8856737 |
| temp | Atlantic | (28.1,28.15] | 0.9034743 | 0.8846602 | 0.9237863 |
| temp | Atlantic | (28.15,28.2] | 0.9228584 | 0.9004739 | 0.9425501 |
| temp | Atlantic | (28.2, Inf] | 0.8171427 | 0.7975944 | 0.8462547 |
| temp | Indo-Pacific | (-Inf,26] | -0.3731855 | -0.4629043 | -0.2790149 |
| temp | Indo-Pacific | (26,26.5] | 0.2568546 | 0.2169667 | 0.2973742 |
| temp | Indo-Pacific | (26.5,26.75] | 0.2219722 | 0.1804235 | 0.2452792 |
| temp | Indo-Pacific | (26.75,27] | 0.1166388 | 0.0503751 | 0.1789004 |
| temp | Indo-Pacific | (27,27.25] | 0.4130346 | 0.3667944 | 0.4548654 |
| temp | Indo-Pacific | (27.25,27.5] | 0.3238948 | 0.2998795 | 0.3419444 |
| temp | Indo-Pacific | (27.5,27.75] | 0.0779621 | -0.1887942 | 0.4595552 |
| temp | Indo-Pacific | (27.75,27.85] | -0.3414179 | -0.8015871 | 0.3126022 |
| temp | Indo-Pacific | (27.85,27.95] | -0.2656797 | -0.6754168 | 0.2332146 |
| temp | Indo-Pacific | (27.95,28.05] | -0.4304128 | -0.7519012 | -0.0040522 |
| temp | Indo-Pacific | (28.05,28.1] | -0.2752135 | -0.6240377 | 0.1526569 |
| temp | Indo-Pacific | (28.1, Inf] | 0.2410560 | 0.0787373 | 0.4021228 |
rm(cor_target_predictor, cor_target_predictor_stats)
sessionInfo()R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2
Matrix products: default
BLAS: /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so
locale:
[1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
[3] LC_TIME=en_US.UTF-8 LC_COLLATE=en_US.UTF-8
[5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
[7] LC_PAPER=en_US.UTF-8 LC_NAME=C
[9] LC_ADDRESS=C LC_TELEPHONE=C
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] corrr_0.4.3 broom_0.7.2 kableExtra_1.3.1 knitr_1.30
[5] olsrr_0.5.3 GGally_2.0.0 lubridate_1.7.9 metR_0.9.0
[9] scico_1.2.0 patchwork_1.1.1 collapse_1.5.0 forcats_0.5.0
[13] stringr_1.4.0 dplyr_1.0.2 purrr_0.3.4 readr_1.4.0
[17] tidyr_1.1.2 tibble_3.0.4 ggplot2_3.3.2 tidyverse_1.3.0
[21] workflowr_1.6.2
loaded via a namespace (and not attached):
[1] fs_1.5.0 webshot_0.5.2 RColorBrewer_1.1-2
[4] httr_1.4.2 rprojroot_2.0.2 tools_4.0.3
[7] backports_1.1.10 R6_2.5.0 nortest_1.0-4
[10] DBI_1.1.0 colorspace_1.4-1 withr_2.3.0
[13] gridExtra_2.3 tidyselect_1.1.0 curl_4.3
[16] compiler_4.0.3 git2r_0.27.1 cli_2.1.0
[19] rvest_0.3.6 xml2_1.3.2 labeling_0.4.2
[22] scales_1.1.1 checkmate_2.0.0 goftest_1.2-2
[25] digest_0.6.27 foreign_0.8-80 rmarkdown_2.5
[28] rio_0.5.16 pkgconfig_2.0.3 htmltools_0.5.0
[31] highr_0.8 dbplyr_1.4.4 rlang_0.4.9
[34] readxl_1.3.1 rstudioapi_0.13 farver_2.0.3
[37] generics_0.0.2 jsonlite_1.7.1 zip_2.1.1
[40] car_3.0-10 magrittr_1.5 Matrix_1.2-18
[43] Rcpp_1.0.5 munsell_0.5.0 fansi_0.4.1
[46] abind_1.4-5 lifecycle_0.2.0 stringi_1.5.3
[49] whisker_0.4 yaml_2.2.1 carData_3.0-4
[52] plyr_1.8.6 grid_4.0.3 blob_1.2.1
[55] parallel_4.0.3 promises_1.1.1 crayon_1.3.4
[58] lattice_0.20-41 haven_2.3.1 hms_0.5.3
[61] pillar_1.4.7 reprex_0.3.0 glue_1.4.2
[64] evaluate_0.14 RcppArmadillo_0.10.1.2.0 data.table_1.13.2
[67] modelr_0.1.8 vctrs_0.3.5 httpuv_1.5.4
[70] cellranger_1.1.0 gtable_0.3.0 reshape_0.8.8
[73] assertthat_0.2.1 xfun_0.18 openxlsx_4.2.3
[76] RcppEigen_0.3.3.7.0 later_1.1.0.1 viridisLite_0.3.0
[79] ellipsis_0.3.1 here_0.1