eMLR - assumption testing
Jens Daniel Müller
25 November, 2020
Last updated: 2020-11-25
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Knit directory: Cant_eMLR/
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1 Libraries
Loading libraries specific to the the analysis performed in this section.
library(lubridate)
library(GGally)
library(olsrr)
library(knitr)
library(kableExtra)
library(broom)
library(corrr)2 Required data
Required are:
- cleaned and prepared GLODAPv2.2020 file
GLODAP <-
read_csv(
here::here(
"data/interim",
"GLODAPv2.2020_MLR_fitting_ready.csv"
)
)3 Predictor correlation
The correlation between:
- pairs of seven potential predictor variables and
- C* and seven potential predictor variables
were investigated based on:
- property-property plots and
- calculated correlation coeffcients.
3.1 Correlation plots
For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).
GLODAP %>%
filter(basin == "Atlantic") %>%
sample_frac(0.05) %>%
ggpairs(columns = c("cstar",
"sal",
"tem",
"aou",
"oxygen",
"silicate",
"phosphate",
"phosphate_star"),
upper = "blank",
ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
scale_fill_viridis_d(direction = -1) +
scale_color_viridis_d(direction = -1) +
labs(title = paste("Basin: Atlantic | era: all | subsample size: 5 % of",
nrow(GLODAP %>% filter(basin == "Atlantic"))))
GLODAP %>%
filter(basin == "Indo-Pacific") %>%
sample_frac(0.05) %>%
ggpairs(columns = c("cstar",
"sal",
"tem",
"aou",
"oxygen",
"silicate",
"phosphate",
"phosphate_star"),
upper = "blank",
ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
scale_fill_viridis_d(direction = -1) +
scale_color_viridis_d(direction = -1) +
labs(title = paste("Basin: Indo-Pacific | era: all | subsample size: 5 % of",
nrow(GLODAP %>% filter(basin == "Indo-Pacific") )))
Individual correlation plots for each basin, era and neutral density (gamma) slab are available here.
for (i_basin in unique(GLODAP$basin)) {
for (i_era in unique(GLODAP$era)) {
# i_basin <- unique(GLODAP$basin)[1]
# i_era <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)
GLODAP_basin_era <- GLODAP %>%
filter(basin == i_basin,
era == i_era)
for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
# i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
print(i_gamma_slab)
GLODAP_highlight <- GLODAP_basin_era %>%
mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
"in", "out")) %>%
arrange(desc(gamma_highlight))
p <- GLODAP_highlight %>%
ggpairs(
columns = c(
"cstar",
"sal",
"tem",
"aou",
"oxygen",
"silicate",
"phosphate",
"phosphate_star"
),
ggplot2::aes(
col = gamma_highlight,
fill = gamma_highlight,
alpha = 0.01
)
) +
scale_fill_manual(values = c("red", "grey")) +
scale_color_manual(values = c("red", "grey")) +
labs(
title = paste(
i_basin,
"|",
i_era,
"| Gamma slab",
i_gamma_slab,
"| # obs total",
nrow(GLODAP_basin_era),
"| # obs slab",
nrow(GLODAP_highlight %>%
filter(gamma_highlight == "in"))
)
)
png(
here::here(
"output/figure/eMLR/predictor_correlation",
paste(
"predictor_correlation",
i_basin,
i_era,
i_gamma_slab,
".png",
sep = "_"
)
),
width = 12,
height = 12,
units = "in",
res = 300
)
print(p)
dev.off()
}
}
}3.2 Correlation assesment
3.2.1 Calculation of correlation coeffcients
Correlation coefficients were calculated indivdually within each slabs, era and basin.
for (i_basin in unique(GLODAP$basin)) {
for (i_era in unique(GLODAP$era)) {
# i_basin <- unique(GLODAP$basin)[1]
# i_era <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)
GLODAP_basin_era <- GLODAP %>%
filter(basin == i_basin,
era == i_era) %>%
select(basin,
era,
gamma_slab,
cstar,
sal,
tem,
aou,
oxygen,
silicate,
phosphate,
phosphate_star)
for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
# i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
print(i_gamma_slab)
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
filter(gamma_slab == i_gamma_slab)
cor_cstar_predictor_temp <- GLODAP_basin_era_slab %>%
select(-c(basin, era, gamma_slab)) %>%
correlate() %>%
focus(cstar) %>%
mutate(basin = i_basin,
era = i_era,
gamma_slab = i_gamma_slab)
if (exists("cor_cstar_predictor")) {
cor_cstar_predictor <- bind_rows(cor_cstar_predictor, cor_cstar_predictor_temp)
}
if (!exists("cor_cstar_predictor")) {
cor_cstar_predictor <- cor_cstar_predictor_temp
}
cor_predictors_temp <- GLODAP_basin_era_slab %>%
select(-c(basin, era, gamma_slab)) %>%
correlate() %>%
shave %>%
stretch() %>%
filter(!is.na(r),
x != "cstar",
y != "cstar") %>%
mutate(pair = paste(x, y, sep = " + ")) %>%
select(-c(x, y)) %>%
mutate(basin = i_basin,
era = i_era,
gamma_slab = i_gamma_slab)
if (exists("cor_predictors")) {
cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
}
if (!exists("cor_predictors")) {
cor_predictors <- cor_predictors_temp
}
}
}
}
cor_predictors %>%
write_csv(here::here("data/eMLR",
"cor_predictors.csv"))
cor_cstar_predictor %>%
write_csv(here::here("data/eMLR",
"cor_cstar_predictor.csv"))
rm(cor_predictors_temp, cor_cstar_predictor_temp,
i_gamma_slab, i_era, i_basin,
GLODAP_basin_era, GLODAP_basin_era_slab)3.2.2 Predictor pairs
Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).
cor_predictors_stats <- cor_predictors %>%
group_by(pair, basin, gamma_slab) %>%
summarise(mean_r = mean(r),
min_r = min(r),
max_r = max(r)) %>%
ungroup()
cor_predictors_stats %>%
mutate(pair = reorder(pair, mean_r)) %>%
ggplot() +
geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
geom_vline(xintercept = 0) +
geom_linerange(
aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
position = position_dodge(width = 0.6)) +
facet_wrap(~basin) +
scale_color_viridis_d(direction = -1) +
labs(x = "correlation coefficient", y = "") +
theme(legend.position = "top")
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] | -0.9191713 | -0.9538543 | -0.8853583 |
| aou + oxygen | Atlantic | (26,26.5] | -0.8876762 | -0.9112208 | -0.8408464 |
| aou + oxygen | Atlantic | (26.5,26.75] | -0.9696028 | -0.9820812 | -0.9527269 |
| aou + oxygen | Atlantic | (26.75,27] | -0.9805741 | -0.9913860 | -0.9721058 |
| aou + oxygen | Atlantic | (27,27.25] | -0.9760337 | -0.9845091 | -0.9657187 |
| aou + oxygen | Atlantic | (27.25,27.5] | -0.9453292 | -0.9540612 | -0.9289641 |
| aou + oxygen | Atlantic | (27.5,27.75] | -0.9324825 | -0.9671125 | -0.9052487 |
| aou + oxygen | Atlantic | (27.75,27.85] | -0.9705464 | -0.9813518 | -0.9595148 |
| aou + oxygen | Atlantic | (27.85,27.95] | -0.9884715 | -0.9927688 | -0.9862295 |
| aou + oxygen | Atlantic | (27.95,28.05] | -0.9884413 | -0.9918302 | -0.9839663 |
| aou + oxygen | Atlantic | (28.05,28.1] | -0.9892007 | -0.9946799 | -0.9820322 |
| aou + oxygen | Atlantic | (28.1,28.15] | -0.9934247 | -0.9945640 | -0.9922304 |
| aou + oxygen | Atlantic | (28.15,28.2] | -0.9981210 | -0.9988573 | -0.9974303 |
| aou + oxygen | Atlantic | (28.2, Inf] | -0.9851302 | -0.9895300 | -0.9793097 |
| aou + oxygen | Indo-Pacific | (-Inf,26] | -0.9220678 | -0.9644994 | -0.8942352 |
| aou + oxygen | Indo-Pacific | (26,26.5] | -0.9817925 | -0.9850603 | -0.9753497 |
| aou + oxygen | Indo-Pacific | (26.5,26.75] | -0.9856857 | -0.9883603 | -0.9829294 |
| aou + oxygen | Indo-Pacific | (26.75,27] | -0.9842471 | -0.9857587 | -0.9834144 |
| aou + oxygen | Indo-Pacific | (27,27.25] | -0.9910084 | -0.9929277 | -0.9871944 |
| aou + oxygen | Indo-Pacific | (27.25,27.5] | -0.9923465 | -0.9952587 | -0.9869129 |
| aou + oxygen | Indo-Pacific | (27.5,27.75] | -0.9912967 | -0.9936503 | -0.9872213 |
| aou + oxygen | Indo-Pacific | (27.75,27.85] | -0.9961710 | -0.9989593 | -0.9925303 |
| aou + oxygen | Indo-Pacific | (27.85,27.95] | -0.9964687 | -0.9987338 | -0.9942513 |
| aou + oxygen | Indo-Pacific | (27.95,28.05] | -0.9948675 | -0.9960943 | -0.9932342 |
| aou + oxygen | Indo-Pacific | (28.05,28.1] | -0.9949621 | -0.9958482 | -0.9939395 |
| aou + oxygen | Indo-Pacific | (28.1, Inf] | -0.9910517 | -0.9926673 | -0.9881660 |
| aou + phosphate | Atlantic | (-Inf,26] | 0.5650360 | 0.3605123 | 0.7316102 |
| aou + phosphate | Atlantic | (26,26.5] | 0.7605038 | 0.6299872 | 0.8975025 |
| aou + phosphate | Atlantic | (26.5,26.75] | 0.8835620 | 0.8402621 | 0.9248295 |
| aou + phosphate | Atlantic | (26.75,27] | 0.8750140 | 0.8327756 | 0.9172064 |
| aou + phosphate | Atlantic | (27,27.25] | 0.8434103 | 0.8038253 | 0.8829638 |
| aou + phosphate | Atlantic | (27.25,27.5] | 0.7361473 | 0.6862061 | 0.7932734 |
| aou + phosphate | Atlantic | (27.5,27.75] | 0.8668722 | 0.8257318 | 0.9173248 |
| aou + phosphate | Atlantic | (27.75,27.85] | 0.9380482 | 0.9241798 | 0.9642200 |
| aou + phosphate | Atlantic | (27.85,27.95] | 0.9517942 | 0.9459243 | 0.9628152 |
| aou + phosphate | Atlantic | (27.95,28.05] | 0.9622841 | 0.9511837 | 0.9830430 |
| aou + phosphate | Atlantic | (28.05,28.1] | 0.9685957 | 0.9487489 | 0.9861289 |
| aou + phosphate | Atlantic | (28.1,28.15] | 0.9810456 | 0.9776340 | 0.9833587 |
| aou + phosphate | Atlantic | (28.15,28.2] | 0.9925181 | 0.9887725 | 0.9944404 |
| aou + phosphate | Atlantic | (28.2, Inf] | 0.8850038 | 0.8330349 | 0.9447263 |
| aou + phosphate | Indo-Pacific | (-Inf,26] | 0.9399344 | 0.9074036 | 0.9653313 |
| aou + phosphate | Indo-Pacific | (26,26.5] | 0.9557211 | 0.9505935 | 0.9629755 |
| aou + phosphate | Indo-Pacific | (26.5,26.75] | 0.9519295 | 0.9400932 | 0.9630614 |
| aou + phosphate | Indo-Pacific | (26.75,27] | 0.9505858 | 0.9463419 | 0.9535104 |
| aou + phosphate | Indo-Pacific | (27,27.25] | 0.9692888 | 0.9579338 | 0.9793673 |
| aou + phosphate | Indo-Pacific | (27.25,27.5] | 0.9679110 | 0.9569239 | 0.9782868 |
| aou + phosphate | Indo-Pacific | (27.5,27.75] | 0.9561198 | 0.9505058 | 0.9590257 |
| aou + phosphate | Indo-Pacific | (27.75,27.85] | 0.9800476 | 0.9678177 | 0.9882885 |
| aou + phosphate | Indo-Pacific | (27.85,27.95] | 0.9777202 | 0.9655393 | 0.9884881 |
| aou + phosphate | Indo-Pacific | (27.95,28.05] | 0.9639538 | 0.9509206 | 0.9741448 |
| aou + phosphate | Indo-Pacific | (28.05,28.1] | 0.9523880 | 0.9420098 | 0.9656907 |
| aou + phosphate | Indo-Pacific | (28.1, Inf] | 0.7713293 | 0.7101089 | 0.8250526 |
| aou + phosphate_star | Atlantic | (-Inf,26] | 0.0397290 | -0.3943265 | 0.3266535 |
| aou + phosphate_star | Atlantic | (26,26.5] | 0.4123561 | 0.1179942 | 0.7489838 |
| aou + phosphate_star | Atlantic | (26.5,26.75] | 0.4491774 | 0.3116008 | 0.6313852 |
| aou + phosphate_star | Atlantic | (26.75,27] | 0.2176792 | 0.0809328 | 0.3164115 |
| aou + phosphate_star | Atlantic | (27,27.25] | 0.2644005 | 0.0434229 | 0.4669382 |
| aou + phosphate_star | Atlantic | (27.25,27.5] | 0.2351333 | 0.1533082 | 0.3515694 |
| aou + phosphate_star | Atlantic | (27.5,27.75] | 0.5946087 | 0.5274223 | 0.6700944 |
| aou + phosphate_star | Atlantic | (27.75,27.85] | 0.7236508 | 0.6714489 | 0.8036255 |
| aou + phosphate_star | Atlantic | (27.85,27.95] | 0.6926260 | 0.6431248 | 0.7270557 |
| aou + phosphate_star | Atlantic | (27.95,28.05] | 0.8224371 | 0.7538712 | 0.9184608 |
| aou + phosphate_star | Atlantic | (28.05,28.1] | 0.8839905 | 0.8196335 | 0.9496522 |
| aou + phosphate_star | Atlantic | (28.1,28.15] | 0.9266640 | 0.9164755 | 0.9356976 |
| aou + phosphate_star | Atlantic | (28.15,28.2] | 0.9756058 | 0.9598697 | 0.9842209 |
| aou + phosphate_star | Atlantic | (28.2, Inf] | 0.6724859 | 0.5204306 | 0.8316891 |
| aou + phosphate_star | Indo-Pacific | (-Inf,26] | 0.6637260 | 0.5373306 | 0.7305231 |
| aou + phosphate_star | Indo-Pacific | (26,26.5] | 0.5845506 | 0.5276381 | 0.6244718 |
| aou + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.4239260 | 0.1766281 | 0.5779456 |
| aou + phosphate_star | Indo-Pacific | (26.75,27] | 0.3791636 | 0.3179066 | 0.4680905 |
| aou + phosphate_star | Indo-Pacific | (27,27.25] | 0.1096405 | -0.0554958 | 0.2307605 |
| aou + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.3903647 | -0.4372709 | -0.3445722 |
| aou + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.3170452 | -0.5775859 | 0.0575821 |
| aou + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.5134961 | -0.6072076 | -0.4620515 |
| aou + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.1459221 | -0.1683655 | -0.1202353 |
| aou + phosphate_star | Indo-Pacific | (27.95,28.05] | 0.1563843 | 0.0599954 | 0.2176460 |
| aou + phosphate_star | Indo-Pacific | (28.05,28.1] | 0.3209820 | 0.2595290 | 0.4137902 |
| aou + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.6457128 | -0.6890703 | -0.5914079 |
| aou + silicate | Atlantic | (-Inf,26] | 0.3387367 | 0.0961103 | 0.5717949 |
| aou + silicate | Atlantic | (26,26.5] | 0.6765404 | 0.5771949 | 0.7660910 |
| aou + silicate | Atlantic | (26.5,26.75] | 0.8898724 | 0.8700364 | 0.9252750 |
| aou + silicate | Atlantic | (26.75,27] | 0.8749085 | 0.8422815 | 0.8983606 |
| aou + silicate | Atlantic | (27,27.25] | 0.8015231 | 0.7423022 | 0.8746936 |
| aou + silicate | Atlantic | (27.25,27.5] | 0.5422232 | 0.4230008 | 0.6924285 |
| aou + silicate | Atlantic | (27.5,27.75] | 0.6867024 | 0.6517802 | 0.7422384 |
| aou + silicate | Atlantic | (27.75,27.85] | 0.8512922 | 0.8236965 | 0.8789206 |
| aou + silicate | Atlantic | (27.85,27.95] | 0.8969800 | 0.8836920 | 0.9087272 |
| aou + silicate | Atlantic | (27.95,28.05] | 0.9454777 | 0.9391487 | 0.9574865 |
| aou + silicate | Atlantic | (28.05,28.1] | 0.9704975 | 0.9578447 | 0.9826895 |
| aou + silicate | Atlantic | (28.1,28.15] | 0.9775185 | 0.9738770 | 0.9801776 |
| aou + silicate | Atlantic | (28.15,28.2] | 0.9915862 | 0.9882745 | 0.9933202 |
| aou + silicate | Atlantic | (28.2, Inf] | 0.8896637 | 0.8592725 | 0.9298133 |
| aou + silicate | Indo-Pacific | (-Inf,26] | 0.7397582 | 0.6747236 | 0.8047999 |
| aou + silicate | Indo-Pacific | (26,26.5] | 0.6568471 | 0.5410996 | 0.7511108 |
| aou + silicate | Indo-Pacific | (26.5,26.75] | 0.6122051 | 0.4145844 | 0.7306881 |
| aou + silicate | Indo-Pacific | (26.75,27] | 0.7476919 | 0.6953753 | 0.7746168 |
| aou + silicate | Indo-Pacific | (27,27.25] | 0.8768329 | 0.8476834 | 0.9058018 |
| aou + silicate | Indo-Pacific | (27.25,27.5] | 0.9045950 | 0.8725306 | 0.9351112 |
| aou + silicate | Indo-Pacific | (27.5,27.75] | 0.9210461 | 0.8758081 | 0.9467386 |
| aou + silicate | Indo-Pacific | (27.75,27.85] | 0.9654229 | 0.9479156 | 0.9761985 |
| aou + silicate | Indo-Pacific | (27.85,27.95] | 0.9613382 | 0.9481756 | 0.9699239 |
| aou + silicate | Indo-Pacific | (27.95,28.05] | 0.9467809 | 0.9378697 | 0.9523270 |
| aou + silicate | Indo-Pacific | (28.05,28.1] | 0.9469161 | 0.9449646 | 0.9484274 |
| aou + silicate | Indo-Pacific | (28.1, Inf] | 0.6250031 | 0.4996577 | 0.6883816 |
| oxygen + phosphate | Atlantic | (-Inf,26] | -0.3349844 | -0.5013175 | -0.1474894 |
| oxygen + phosphate | Atlantic | (26,26.5] | -0.4293014 | -0.5795976 | -0.2701576 |
| oxygen + phosphate | Atlantic | (26.5,26.75] | -0.7491418 | -0.8173922 | -0.6391082 |
| oxygen + phosphate | Atlantic | (26.75,27] | -0.7667009 | -0.8596036 | -0.6818942 |
| oxygen + phosphate | Atlantic | (27,27.25] | -0.7102646 | -0.7673673 | -0.6251270 |
| oxygen + phosphate | Atlantic | (27.25,27.5] | -0.4825486 | -0.5758975 | -0.3743615 |
| oxygen + phosphate | Atlantic | (27.5,27.75] | -0.6484963 | -0.8023453 | -0.5287077 |
| oxygen + phosphate | Atlantic | (27.75,27.85] | -0.8366294 | -0.9045691 | -0.7907383 |
| oxygen + phosphate | Atlantic | (27.85,27.95] | -0.9025354 | -0.9322139 | -0.8872588 |
| oxygen + phosphate | Atlantic | (27.95,28.05] | -0.9244000 | -0.9643825 | -0.8926028 |
| oxygen + phosphate | Atlantic | (28.05,28.1] | -0.9322237 | -0.9740612 | -0.8819955 |
| oxygen + phosphate | Atlantic | (28.1,28.15] | -0.9586173 | -0.9664617 | -0.9490616 |
| oxygen + phosphate | Atlantic | (28.15,28.2] | -0.9887708 | -0.9938124 | -0.9795958 |
| oxygen + phosphate | Atlantic | (28.2, Inf] | -0.8133151 | -0.9021662 | -0.7323976 |
| oxygen + phosphate | Indo-Pacific | (-Inf,26] | -0.7862454 | -0.9032623 | -0.6906567 |
| oxygen + phosphate | Indo-Pacific | (26,26.5] | -0.8893117 | -0.9084707 | -0.8655858 |
| oxygen + phosphate | Indo-Pacific | (26.5,26.75] | -0.8918674 | -0.9160933 | -0.8740913 |
| oxygen + phosphate | Indo-Pacific | (26.75,27] | -0.8854172 | -0.8916323 | -0.8767115 |
| oxygen + phosphate | Indo-Pacific | (27,27.25] | -0.9340668 | -0.9555268 | -0.9070964 |
| oxygen + phosphate | Indo-Pacific | (27.25,27.5] | -0.9445130 | -0.9628987 | -0.9104178 |
| oxygen + phosphate | Indo-Pacific | (27.5,27.75] | -0.9526026 | -0.9707371 | -0.9241545 |
| oxygen + phosphate | Indo-Pacific | (27.75,27.85] | -0.9723783 | -0.9887399 | -0.9510259 |
| oxygen + phosphate | Indo-Pacific | (27.85,27.95] | -0.9675189 | -0.9861357 | -0.9491900 |
| oxygen + phosphate | Indo-Pacific | (27.95,28.05] | -0.9407701 | -0.9551042 | -0.9221251 |
| oxygen + phosphate | Indo-Pacific | (28.05,28.1] | -0.9246553 | -0.9418615 | -0.9153923 |
| oxygen + phosphate | Indo-Pacific | (28.1, Inf] | -0.6928896 | -0.7569192 | -0.6138085 |
| oxygen + phosphate_star | Atlantic | (-Inf,26] | 0.2396718 | -0.0143722 | 0.5998408 |
| oxygen + phosphate_star | Atlantic | (26,26.5] | -0.0027783 | -0.3245808 | 0.2892807 |
| oxygen + phosphate_star | Atlantic | (26.5,26.75] | -0.2304300 | -0.4425735 | -0.1108167 |
| oxygen + phosphate_star | Atlantic | (26.75,27] | -0.0312804 | -0.1162437 | 0.0465560 |
| oxygen + phosphate_star | Atlantic | (27,27.25] | -0.0572249 | -0.2741678 | 0.1299694 |
| oxygen + phosphate_star | Atlantic | (27.25,27.5] | 0.0863787 | -0.0556168 | 0.1712288 |
| oxygen + phosphate_star | Atlantic | (27.5,27.75] | -0.2876511 | -0.4777313 | -0.1350067 |
| oxygen + phosphate_star | Atlantic | (27.75,27.85] | -0.5483997 | -0.6857837 | -0.4750172 |
| oxygen + phosphate_star | Atlantic | (27.85,27.95] | -0.5881778 | -0.6536993 | -0.5174163 |
| oxygen + phosphate_star | Atlantic | (27.95,28.05] | -0.7475722 | -0.8775151 | -0.6763861 |
| oxygen + phosphate_star | Atlantic | (28.05,28.1] | -0.8200244 | -0.9257522 | -0.7087090 |
| oxygen + phosphate_star | Atlantic | (28.1,28.15] | -0.8856707 | -0.9036748 | -0.8661987 |
| oxygen + phosphate_star | Atlantic | (28.15,28.2] | -0.9680470 | -0.9823756 | -0.9429150 |
| oxygen + phosphate_star | Atlantic | (28.2, Inf] | -0.5628607 | -0.7615269 | -0.3701027 |
| oxygen + phosphate_star | Indo-Pacific | (-Inf,26] | -0.3765236 | -0.5706185 | -0.1584270 |
| oxygen + phosphate_star | Indo-Pacific | (26,26.5] | -0.4307128 | -0.4642062 | -0.3826324 |
| oxygen + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.2765247 | -0.4248449 | -0.0153823 |
| oxygen + phosphate_star | Indo-Pacific | (26.75,27] | -0.2169481 | -0.3068553 | -0.1611387 |
| oxygen + phosphate_star | Indo-Pacific | (27,27.25] | 0.0101716 | -0.1287786 | 0.2033718 |
| oxygen + phosphate_star | Indo-Pacific | (27.25,27.5] | 0.4696153 | 0.3901912 | 0.5614765 |
| oxygen + phosphate_star | Indo-Pacific | (27.5,27.75] | 0.3343969 | -0.1140382 | 0.6758984 |
| oxygen + phosphate_star | Indo-Pacific | (27.75,27.85] | 0.5513506 | 0.5116497 | 0.6108994 |
| oxygen + phosphate_star | Indo-Pacific | (27.85,27.95] | 0.1960124 | 0.1418965 | 0.2280981 |
| oxygen + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.0747479 | -0.1287166 | 0.0169182 |
| oxygen + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.2395722 | -0.3455146 | -0.1634257 |
| oxygen + phosphate_star | Indo-Pacific | (28.1, Inf] | 0.7322639 | 0.6940630 | 0.7645888 |
| oxygen + silicate | Atlantic | (-Inf,26] | -0.0874507 | -0.3737975 | 0.1409389 |
| oxygen + silicate | Atlantic | (26,26.5] | -0.3554081 | -0.4088576 | -0.2497587 |
| oxygen + silicate | Atlantic | (26.5,26.75] | -0.7773325 | -0.8356283 | -0.7088025 |
| oxygen + silicate | Atlantic | (26.75,27] | -0.7865908 | -0.8512577 | -0.7225555 |
| oxygen + silicate | Atlantic | (27,27.25] | -0.6717457 | -0.7678002 | -0.6191414 |
| oxygen + silicate | Atlantic | (27.25,27.5] | -0.2681355 | -0.4617705 | -0.1595736 |
| oxygen + silicate | Atlantic | (27.5,27.75] | -0.4368802 | -0.5855856 | -0.3303758 |
| oxygen + silicate | Atlantic | (27.75,27.85] | -0.7313496 | -0.7968375 | -0.6713919 |
| oxygen + silicate | Atlantic | (27.85,27.95] | -0.8304992 | -0.8627791 | -0.8044356 |
| oxygen + silicate | Atlantic | (27.95,28.05] | -0.8926405 | -0.9190641 | -0.8698766 |
| oxygen + silicate | Atlantic | (28.05,28.1] | -0.9298716 | -0.9624466 | -0.8927652 |
| oxygen + silicate | Atlantic | (28.1,28.15] | -0.9521755 | -0.9560352 | -0.9494733 |
| oxygen + silicate | Atlantic | (28.15,28.2] | -0.9880509 | -0.9914727 | -0.9827329 |
| oxygen + silicate | Atlantic | (28.2, Inf] | -0.8193216 | -0.8828302 | -0.7637290 |
| oxygen + silicate | Indo-Pacific | (-Inf,26] | -0.5180208 | -0.7062389 | -0.3780615 |
| oxygen + silicate | Indo-Pacific | (26,26.5] | -0.5457613 | -0.6676851 | -0.4229569 |
| oxygen + silicate | Indo-Pacific | (26.5,26.75] | -0.4973947 | -0.6428274 | -0.2804766 |
| oxygen + silicate | Indo-Pacific | (26.75,27] | -0.6375856 | -0.6768693 | -0.5704625 |
| oxygen + silicate | Indo-Pacific | (27,27.25] | -0.8175221 | -0.8581719 | -0.7699141 |
| oxygen + silicate | Indo-Pacific | (27.25,27.5] | -0.8589905 | -0.9043372 | -0.8040922 |
| oxygen + silicate | Indo-Pacific | (27.5,27.75] | -0.8788714 | -0.9167437 | -0.8090341 |
| oxygen + silicate | Indo-Pacific | (27.75,27.85] | -0.9496669 | -0.9721806 | -0.9174215 |
| oxygen + silicate | Indo-Pacific | (27.85,27.95] | -0.9450252 | -0.9629198 | -0.9227704 |
| oxygen + silicate | Indo-Pacific | (27.95,28.05] | -0.9200425 | -0.9298993 | -0.9048741 |
| oxygen + silicate | Indo-Pacific | (28.05,28.1] | -0.9211391 | -0.9240902 | -0.9182833 |
| oxygen + silicate | Indo-Pacific | (28.1, Inf] | -0.5386936 | -0.6180874 | -0.3851015 |
| phosphate + phosphate_star | Atlantic | (-Inf,26] | 0.8179253 | 0.7028988 | 0.8784980 |
| phosphate + phosphate_star | Atlantic | (26,26.5] | 0.8963894 | 0.8434988 | 0.9589086 |
| phosphate + phosphate_star | Atlantic | (26.5,26.75] | 0.8095620 | 0.7151354 | 0.8783471 |
| phosphate + phosphate_star | Atlantic | (26.75,27] | 0.6511375 | 0.4703877 | 0.7477076 |
| phosphate + phosphate_star | Atlantic | (27,27.25] | 0.7324086 | 0.5727959 | 0.8270253 |
| phosphate + phosphate_star | Atlantic | (27.25,27.5] | 0.8283110 | 0.7871601 | 0.8494866 |
| phosphate + phosphate_star | Atlantic | (27.5,27.75] | 0.9125579 | 0.9076506 | 0.9176112 |
| phosphate + phosphate_star | Atlantic | (27.75,27.85] | 0.9156515 | 0.9020369 | 0.9306219 |
| phosphate + phosphate_star | Atlantic | (27.85,27.95] | 0.8780077 | 0.8538082 | 0.8969522 |
| phosphate + phosphate_star | Atlantic | (27.95,28.05] | 0.9432062 | 0.9148403 | 0.9731065 |
| phosphate + phosphate_star | Atlantic | (28.05,28.1] | 0.9709946 | 0.9575510 | 0.9873045 |
| phosphate + phosphate_star | Atlantic | (28.1,28.15] | 0.9811698 | 0.9795266 | 0.9833385 |
| phosphate + phosphate_star | Atlantic | (28.15,28.2] | 0.9946329 | 0.9906079 | 0.9970583 |
| phosphate + phosphate_star | Atlantic | (28.2, Inf] | 0.9370274 | 0.9035910 | 0.9666212 |
| phosphate + phosphate_star | Indo-Pacific | (-Inf,26] | 0.8626346 | 0.8234682 | 0.8966432 |
| phosphate + phosphate_star | Indo-Pacific | (26,26.5] | 0.7939811 | 0.7562202 | 0.8338170 |
| phosphate + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.6740277 | 0.4991496 | 0.7969298 |
| phosphate + phosphate_star | Indo-Pacific | (26.75,27] | 0.6439913 | 0.5905200 | 0.7268341 |
| phosphate + phosphate_star | Indo-Pacific | (27,27.25] | 0.3421894 | 0.2276485 | 0.4155000 |
| phosphate + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.1622094 | -0.2002070 | -0.1175686 |
| phosphate + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.0588897 | -0.3430887 | 0.3492793 |
| phosphate + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.3491664 | -0.4855459 | -0.2436382 |
| phosphate + phosphate_star | Indo-Pacific | (27.85,27.95] | 0.0503607 | 0.0243327 | 0.1001679 |
| phosphate + phosphate_star | Indo-Pacific | (27.95,28.05] | 0.4044894 | 0.2800691 | 0.5023663 |
| phosphate + phosphate_star | Indo-Pacific | (28.05,28.1] | 0.5881779 | 0.5261055 | 0.6916787 |
| phosphate + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.0205283 | -0.1178242 | 0.1423180 |
| sal + aou | Atlantic | (-Inf,26] | -0.1372375 | -0.4352518 | 0.3500435 |
| sal + aou | Atlantic | (26,26.5] | -0.2950194 | -0.6746198 | 0.0106171 |
| sal + aou | Atlantic | (26.5,26.75] | -0.2754799 | -0.5219240 | -0.0084286 |
| sal + aou | Atlantic | (26.75,27] | -0.1563342 | -0.2733795 | 0.0125727 |
| sal + aou | Atlantic | (27,27.25] | -0.2730909 | -0.4907811 | -0.0358996 |
| sal + aou | Atlantic | (27.25,27.5] | -0.2242953 | -0.3555085 | -0.1210769 |
| sal + aou | Atlantic | (27.5,27.75] | -0.4591414 | -0.5242823 | -0.3870458 |
| sal + aou | Atlantic | (27.75,27.85] | -0.4370233 | -0.5077743 | -0.3998055 |
| sal + aou | Atlantic | (27.85,27.95] | -0.3181494 | -0.3764282 | -0.2035671 |
| sal + aou | Atlantic | (27.95,28.05] | -0.5504242 | -0.7189129 | -0.3279194 |
| sal + aou | Atlantic | (28.05,28.1] | -0.7521862 | -0.8423117 | -0.6759589 |
| sal + aou | Atlantic | (28.1,28.15] | -0.8387228 | -0.8483785 | -0.8289295 |
| sal + aou | Atlantic | (28.15,28.2] | -0.9537883 | -0.9823050 | -0.9188017 |
| sal + aou | Atlantic | (28.2, Inf] | -0.7063430 | -0.8684545 | -0.5474608 |
| sal + aou | Indo-Pacific | (-Inf,26] | -0.0998065 | -0.1376477 | -0.0452091 |
| sal + aou | Indo-Pacific | (26,26.5] | -0.0374451 | -0.2454403 | 0.1427841 |
| sal + aou | Indo-Pacific | (26.5,26.75] | -0.0403896 | -0.3519785 | 0.2625971 |
| sal + aou | Indo-Pacific | (26.75,27] | -0.1432623 | -0.3339392 | 0.0407040 |
| sal + aou | Indo-Pacific | (27,27.25] | -0.0392513 | -0.1798021 | 0.2289563 |
| sal + aou | Indo-Pacific | (27.25,27.5] | 0.1571884 | 0.0687569 | 0.3279394 |
| sal + aou | Indo-Pacific | (27.5,27.75] | 0.3153313 | 0.1472908 | 0.4888984 |
| sal + aou | Indo-Pacific | (27.75,27.85] | -0.1333815 | -0.4074011 | 0.1797061 |
| sal + aou | Indo-Pacific | (27.85,27.95] | -0.3024019 | -0.6483702 | -0.0041290 |
| sal + aou | Indo-Pacific | (27.95,28.05] | -0.3031832 | -0.4053862 | -0.1667368 |
| sal + aou | Indo-Pacific | (28.05,28.1] | -0.3657671 | -0.4717638 | -0.2642723 |
| sal + aou | Indo-Pacific | (28.1, Inf] | 0.4396415 | 0.3266540 | 0.5031114 |
| sal + oxygen | Atlantic | (-Inf,26] | -0.2189189 | -0.6027822 | -0.0267863 |
| sal + oxygen | Atlantic | (26,26.5] | -0.1343199 | -0.4118909 | 0.1955319 |
| sal + oxygen | Atlantic | (26.5,26.75] | 0.0470309 | -0.1718348 | 0.3179759 |
| sal + oxygen | Atlantic | (26.75,27] | -0.0296761 | -0.1383497 | 0.0722768 |
| sal + oxygen | Atlantic | (27,27.25] | 0.0683455 | -0.1351012 | 0.3015567 |
| sal + oxygen | Atlantic | (27.25,27.5] | -0.0930241 | -0.1711066 | 0.0630814 |
| sal + oxygen | Atlantic | (27.5,27.75] | 0.1283558 | -0.0264873 | 0.3026997 |
| sal + oxygen | Atlantic | (27.75,27.85] | 0.2169059 | 0.1370544 | 0.3389674 |
| sal + oxygen | Atlantic | (27.85,27.95] | 0.1836297 | 0.0491710 | 0.2715353 |
| sal + oxygen | Atlantic | (27.95,28.05] | 0.4429602 | 0.2134254 | 0.6456523 |
| sal + oxygen | Atlantic | (28.05,28.1] | 0.6570494 | 0.5322483 | 0.7899995 |
| sal + oxygen | Atlantic | (28.1,28.15] | 0.7734632 | 0.7554210 | 0.7851859 |
| sal + oxygen | Atlantic | (28.15,28.2] | 0.9358688 | 0.8908581 | 0.9735412 |
| sal + oxygen | Atlantic | (28.2, Inf] | 0.6006744 | 0.3973085 | 0.8022953 |
| sal + oxygen | Indo-Pacific | (-Inf,26] | -0.2066649 | -0.3074739 | -0.1098589 |
| sal + oxygen | Indo-Pacific | (26,26.5] | -0.1372468 | -0.2943005 | 0.0371980 |
| sal + oxygen | Indo-Pacific | (26.5,26.75] | -0.1184266 | -0.4150355 | 0.1773271 |
| sal + oxygen | Indo-Pacific | (26.75,27] | -0.0272165 | -0.2038853 | 0.1624747 |
| sal + oxygen | Indo-Pacific | (27,27.25] | -0.0843023 | -0.3759859 | 0.0686301 |
| sal + oxygen | Indo-Pacific | (27.25,27.5] | -0.2593215 | -0.4669477 | -0.1519785 |
| sal + oxygen | Indo-Pacific | (27.5,27.75] | -0.4165259 | -0.5730475 | -0.2352335 |
| sal + oxygen | Indo-Pacific | (27.75,27.85] | 0.0658433 | -0.2897378 | 0.3802234 |
| sal + oxygen | Indo-Pacific | (27.85,27.95] | 0.2418730 | -0.0901370 | 0.6294063 |
| sal + oxygen | Indo-Pacific | (27.95,28.05] | 0.2227470 | 0.0673471 | 0.3406845 |
| sal + oxygen | Indo-Pacific | (28.05,28.1] | 0.2798239 | 0.1642871 | 0.4001890 |
| sal + oxygen | Indo-Pacific | (28.1, Inf] | -0.5277378 | -0.6024504 | -0.4154610 |
| sal + phosphate | Atlantic | (-Inf,26] | -0.6571987 | -0.7619298 | -0.5517394 |
| sal + phosphate | Atlantic | (26,26.5] | -0.7968819 | -0.8726533 | -0.7409547 |
| sal + phosphate | Atlantic | (26.5,26.75] | -0.6548973 | -0.7976232 | -0.4121211 |
| sal + phosphate | Atlantic | (26.75,27] | -0.5878021 | -0.7060285 | -0.3653983 |
| sal + phosphate | Atlantic | (27,27.25] | -0.7263124 | -0.8336663 | -0.5533928 |
| sal + phosphate | Atlantic | (27.25,27.5] | -0.7999681 | -0.8353772 | -0.7355125 |
| sal + phosphate | Atlantic | (27.5,27.75] | -0.7891402 | -0.8095092 | -0.7712764 |
| sal + phosphate | Atlantic | (27.75,27.85] | -0.6724363 | -0.6756080 | -0.6679218 |
| sal + phosphate | Atlantic | (27.85,27.95] | -0.5463720 | -0.6109516 | -0.4690580 |
| sal + phosphate | Atlantic | (27.95,28.05] | -0.7023854 | -0.7829192 | -0.5442971 |
| sal + phosphate | Atlantic | (28.05,28.1] | -0.8517734 | -0.8822958 | -0.8339643 |
| sal + phosphate | Atlantic | (28.1,28.15] | -0.9011048 | -0.9068059 | -0.8912141 |
| sal + phosphate | Atlantic | (28.15,28.2] | -0.9609665 | -0.9785444 | -0.9517848 |
| sal + phosphate | Atlantic | (28.2, Inf] | -0.9408886 | -0.9769630 | -0.8988849 |
| sal + phosphate | Indo-Pacific | (-Inf,26] | -0.2140891 | -0.2530378 | -0.1919738 |
| sal + phosphate | Indo-Pacific | (26,26.5] | -0.2667137 | -0.4859041 | -0.0886277 |
| sal + phosphate | Indo-Pacific | (26.5,26.75] | -0.2921000 | -0.5854159 | -0.0378637 |
| sal + phosphate | Indo-Pacific | (26.75,27] | -0.3971912 | -0.5868734 | -0.2200382 |
| sal + phosphate | Indo-Pacific | (27,27.25] | -0.2094089 | -0.3401173 | 0.0081900 |
| sal + phosphate | Indo-Pacific | (27.25,27.5] | 0.0667222 | -0.0115958 | 0.1372233 |
| sal + phosphate | Indo-Pacific | (27.5,27.75] | 0.3553399 | 0.1734152 | 0.6724322 |
| sal + phosphate | Indo-Pacific | (27.75,27.85] | -0.1633590 | -0.3809459 | 0.1111361 |
| sal + phosphate | Indo-Pacific | (27.85,27.95] | -0.3657133 | -0.6599179 | -0.0877588 |
| sal + phosphate | Indo-Pacific | (27.95,28.05] | -0.4653641 | -0.5559025 | -0.3392945 |
| sal + phosphate | Indo-Pacific | (28.05,28.1] | -0.5587859 | -0.6413333 | -0.4990502 |
| sal + phosphate | Indo-Pacific | (28.1, Inf] | -0.0976024 | -0.1797645 | -0.0236873 |
| sal + phosphate_star | Atlantic | (-Inf,26] | -0.8290459 | -0.8956175 | -0.7116879 |
| sal + phosphate_star | Atlantic | (26,26.5] | -0.9571105 | -0.9664504 | -0.9448129 |
| sal + phosphate_star | Atlantic | (26.5,26.75] | -0.9400744 | -0.9791413 | -0.8633480 |
| sal + phosphate_star | Atlantic | (26.75,27] | -0.9729177 | -0.9858018 | -0.9532816 |
| sal + phosphate_star | Atlantic | (27,27.25] | -0.9826657 | -0.9859476 | -0.9777129 |
| sal + phosphate_star | Atlantic | (27.25,27.5] | -0.9727452 | -0.9793990 | -0.9606912 |
| sal + phosphate_star | Atlantic | (27.5,27.75] | -0.9306540 | -0.9385582 | -0.9223601 |
| sal + phosphate_star | Atlantic | (27.75,27.85] | -0.8719902 | -0.8862078 | -0.8492566 |
| sal + phosphate_star | Atlantic | (27.85,27.95] | -0.8268467 | -0.8485507 | -0.8146841 |
| sal + phosphate_star | Atlantic | (27.95,28.05] | -0.8486616 | -0.9034243 | -0.7854398 |
| sal + phosphate_star | Atlantic | (28.05,28.1] | -0.9192494 | -0.9305514 | -0.9073800 |
| sal + phosphate_star | Atlantic | (28.1,28.15] | -0.9454732 | -0.9554499 | -0.9340845 |
| sal + phosphate_star | Atlantic | (28.15,28.2] | -0.9656349 | -0.9749401 | -0.9508805 |
| sal + phosphate_star | Atlantic | (28.2, Inf] | -0.9833783 | -0.9913247 | -0.9764615 |
| sal + phosphate_star | Indo-Pacific | (-Inf,26] | -0.5024127 | -0.5047468 | -0.4991628 |
| sal + phosphate_star | Indo-Pacific | (26,26.5] | -0.7146824 | -0.8278102 | -0.6121869 |
| sal + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.8369663 | -0.9097285 | -0.7828799 |
| sal + phosphate_star | Indo-Pacific | (26.75,27] | -0.8877877 | -0.9292208 | -0.8430572 |
| sal + phosphate_star | Indo-Pacific | (27,27.25] | -0.8270258 | -0.8507374 | -0.7846850 |
| sal + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.5826161 | -0.8380468 | -0.3198186 |
| sal + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.1098399 | -0.7505005 | 0.5458761 |
| sal + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.2712214 | -0.6045344 | 0.2058051 |
| sal + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.4360986 | -0.6064121 | -0.1447535 |
| sal + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.7652637 | -0.8044477 | -0.7191675 |
| sal + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.8321507 | -0.8813124 | -0.7617659 |
| sal + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.8242591 | -0.8368384 | -0.8168904 |
| sal + silicate | Atlantic | (-Inf,26] | -0.7246256 | -0.7585795 | -0.6629083 |
| sal + silicate | Atlantic | (26,26.5] | -0.7555011 | -0.8866708 | -0.6866727 |
| sal + silicate | Atlantic | (26.5,26.75] | -0.5678182 | -0.7250872 | -0.3326459 |
| sal + silicate | Atlantic | (26.75,27] | -0.4706477 | -0.5905252 | -0.2611614 |
| sal + silicate | Atlantic | (27,27.25] | -0.6982590 | -0.7766325 | -0.5827429 |
| sal + silicate | Atlantic | (27.25,27.5] | -0.7998582 | -0.8216489 | -0.7726388 |
| sal + silicate | Atlantic | (27.5,27.75] | -0.7591584 | -0.7787178 | -0.7430958 |
| sal + silicate | Atlantic | (27.75,27.85] | -0.6807973 | -0.6950745 | -0.6647231 |
| sal + silicate | Atlantic | (27.85,27.95] | -0.6180726 | -0.6707669 | -0.5564282 |
| sal + silicate | Atlantic | (27.95,28.05] | -0.7407502 | -0.8367980 | -0.5838277 |
| sal + silicate | Atlantic | (28.05,28.1] | -0.8648765 | -0.9071439 | -0.8329962 |
| sal + silicate | Atlantic | (28.1,28.15] | -0.9111273 | -0.9212627 | -0.9007057 |
| sal + silicate | Atlantic | (28.15,28.2] | -0.9555198 | -0.9817549 | -0.9281957 |
| sal + silicate | Atlantic | (28.2, Inf] | -0.9216423 | -0.9849066 | -0.8648089 |
| sal + silicate | Indo-Pacific | (-Inf,26] | -0.5117662 | -0.5721616 | -0.4111244 |
| sal + silicate | Indo-Pacific | (26,26.5] | -0.5352783 | -0.6569768 | -0.4129810 |
| sal + silicate | Indo-Pacific | (26.5,26.75] | -0.6505841 | -0.7923306 | -0.5235228 |
| sal + silicate | Indo-Pacific | (26.75,27] | -0.6451295 | -0.7505208 | -0.4593808 |
| sal + silicate | Indo-Pacific | (27,27.25] | -0.4101005 | -0.5402058 | -0.1966681 |
| sal + silicate | Indo-Pacific | (27.25,27.5] | -0.1186241 | -0.1951322 | -0.0025800 |
| sal + silicate | Indo-Pacific | (27.5,27.75] | 0.1496738 | 0.0279839 | 0.3796061 |
| sal + silicate | Indo-Pacific | (27.75,27.85] | -0.1873971 | -0.3602995 | 0.0280045 |
| sal + silicate | Indo-Pacific | (27.85,27.95] | -0.3404344 | -0.5940205 | -0.1136075 |
| sal + silicate | Indo-Pacific | (27.95,28.05] | -0.3820018 | -0.4488146 | -0.2868176 |
| sal + silicate | Indo-Pacific | (28.05,28.1] | -0.4714573 | -0.5339593 | -0.4011667 |
| sal + silicate | Indo-Pacific | (28.1, Inf] | -0.0063435 | -0.1394927 | 0.1539092 |
| sal + tem | Atlantic | (-Inf,26] | 0.9323891 | 0.8626473 | 0.9844820 |
| sal + tem | Atlantic | (26,26.5] | 0.9634139 | 0.9590162 | 0.9708605 |
| sal + tem | Atlantic | (26.5,26.75] | 0.9764474 | 0.9506495 | 0.9899024 |
| sal + tem | Atlantic | (26.75,27] | 0.9745470 | 0.9606308 | 0.9833272 |
| sal + tem | Atlantic | (27,27.25] | 0.9778858 | 0.9722652 | 0.9820777 |
| sal + tem | Atlantic | (27.25,27.5] | 0.9735269 | 0.9668175 | 0.9772240 |
| sal + tem | Atlantic | (27.5,27.75] | 0.9686692 | 0.9615924 | 0.9723887 |
| sal + tem | Atlantic | (27.75,27.85] | 0.9795403 | 0.9754176 | 0.9817109 |
| sal + tem | Atlantic | (27.85,27.95] | 0.9379709 | 0.9217219 | 0.9484753 |
| sal + tem | Atlantic | (27.95,28.05] | 0.8825762 | 0.8592682 | 0.9231802 |
| sal + tem | Atlantic | (28.05,28.1] | 0.9605429 | 0.9508922 | 0.9671551 |
| sal + tem | Atlantic | (28.1,28.15] | 0.9521654 | 0.9353087 | 0.9657348 |
| sal + tem | Atlantic | (28.15,28.2] | 0.8899373 | 0.8857384 | 0.8944579 |
| sal + tem | Atlantic | (28.2, Inf] | 0.1972132 | 0.0382896 | 0.3753641 |
| sal + tem | Indo-Pacific | (-Inf,26] | 0.7622448 | 0.7321860 | 0.8143201 |
| sal + tem | Indo-Pacific | (26,26.5] | 0.9266617 | 0.8850868 | 0.9498731 |
| sal + tem | Indo-Pacific | (26.5,26.75] | 0.9778104 | 0.9691766 | 0.9825174 |
| sal + tem | Indo-Pacific | (26.75,27] | 0.9764911 | 0.9722667 | 0.9791828 |
| sal + tem | Indo-Pacific | (27,27.25] | 0.9480433 | 0.9326253 | 0.9667965 |
| sal + tem | Indo-Pacific | (27.25,27.5] | 0.8786772 | 0.8288827 | 0.9532627 |
| sal + tem | Indo-Pacific | (27.5,27.75] | 0.8619859 | 0.7971344 | 0.9086352 |
| sal + tem | Indo-Pacific | (27.75,27.85] | 0.8095714 | 0.6544091 | 0.9311680 |
| sal + tem | Indo-Pacific | (27.85,27.95] | 0.7156032 | 0.4919380 | 0.8677990 |
| sal + tem | Indo-Pacific | (27.95,28.05] | 0.7367933 | 0.6544831 | 0.8157351 |
| sal + tem | Indo-Pacific | (28.05,28.1] | 0.7150560 | 0.6354842 | 0.7551418 |
| sal + tem | Indo-Pacific | (28.1, Inf] | 0.7160284 | 0.6244071 | 0.7966486 |
| silicate + phosphate | Atlantic | (-Inf,26] | 0.6917681 | 0.6400883 | 0.7449929 |
| silicate + phosphate | Atlantic | (26,26.5] | 0.9111211 | 0.8886772 | 0.9268357 |
| silicate + phosphate | Atlantic | (26.5,26.75] | 0.9661456 | 0.9618851 | 0.9688256 |
| silicate + phosphate | Atlantic | (26.75,27] | 0.9458313 | 0.9290906 | 0.9591263 |
| silicate + phosphate | Atlantic | (27,27.25] | 0.9539833 | 0.9401480 | 0.9664683 |
| silicate + phosphate | Atlantic | (27.25,27.5] | 0.9028598 | 0.8559101 | 0.9358201 |
| silicate + phosphate | Atlantic | (27.5,27.75] | 0.9060741 | 0.8989189 | 0.9102557 |
| silicate + phosphate | Atlantic | (27.75,27.85] | 0.9515896 | 0.9436581 | 0.9608135 |
| silicate + phosphate | Atlantic | (27.85,27.95] | 0.9696502 | 0.9661218 | 0.9763438 |
| silicate + phosphate | Atlantic | (27.95,28.05] | 0.9786053 | 0.9742704 | 0.9838589 |
| silicate + phosphate | Atlantic | (28.05,28.1] | 0.9881443 | 0.9873963 | 0.9895227 |
| silicate + phosphate | Atlantic | (28.1,28.15] | 0.9936500 | 0.9932570 | 0.9941351 |
| silicate + phosphate | Atlantic | (28.15,28.2] | 0.9945746 | 0.9909439 | 0.9975331 |
| silicate + phosphate | Atlantic | (28.2, Inf] | 0.9854422 | 0.9771791 | 0.9963357 |
| silicate + phosphate | Indo-Pacific | (-Inf,26] | 0.7928966 | 0.7495898 | 0.8167928 |
| silicate + phosphate | Indo-Pacific | (26,26.5] | 0.7538788 | 0.6610246 | 0.8249498 |
| silicate + phosphate | Indo-Pacific | (26.5,26.75] | 0.7429847 | 0.5953044 | 0.8256303 |
| silicate + phosphate | Indo-Pacific | (26.75,27] | 0.8456155 | 0.8043534 | 0.8686939 |
| silicate + phosphate | Indo-Pacific | (27,27.25] | 0.9030331 | 0.8882626 | 0.9281766 |
| silicate + phosphate | Indo-Pacific | (27.25,27.5] | 0.8846996 | 0.8633152 | 0.9206935 |
| silicate + phosphate | Indo-Pacific | (27.5,27.75] | 0.8658820 | 0.8517731 | 0.8871773 |
| silicate + phosphate | Indo-Pacific | (27.75,27.85] | 0.9493875 | 0.9290366 | 0.9609671 |
| silicate + phosphate | Indo-Pacific | (27.85,27.95] | 0.9630557 | 0.9492788 | 0.9702390 |
| silicate + phosphate | Indo-Pacific | (27.95,28.05] | 0.9581465 | 0.9481899 | 0.9633724 |
| silicate + phosphate | Indo-Pacific | (28.05,28.1] | 0.9545436 | 0.9457907 | 0.9612718 |
| silicate + phosphate | Indo-Pacific | (28.1, Inf] | 0.7808447 | 0.7313327 | 0.8252533 |
| silicate + phosphate_star | Atlantic | (-Inf,26] | 0.6619545 | 0.6191669 | 0.7169609 |
| silicate + phosphate_star | Atlantic | (26,26.5] | 0.8283654 | 0.7732049 | 0.9338664 |
| silicate + phosphate_star | Atlantic | (26.5,26.75] | 0.7391800 | 0.6667326 | 0.8146888 |
| silicate + phosphate_star | Atlantic | (26.75,27] | 0.5480250 | 0.3856396 | 0.6445561 |
| silicate + phosphate_star | Atlantic | (27,27.25] | 0.7132273 | 0.6184994 | 0.7763550 |
| silicate + phosphate_star | Atlantic | (27.25,27.5] | 0.8589199 | 0.8438263 | 0.8699858 |
| silicate + phosphate_star | Atlantic | (27.5,27.75] | 0.9113799 | 0.9018703 | 0.9279885 |
| silicate + phosphate_star | Atlantic | (27.75,27.85] | 0.9198384 | 0.9089887 | 0.9382541 |
| silicate + phosphate_star | Atlantic | (27.85,27.95] | 0.9015066 | 0.8844322 | 0.9169471 |
| silicate + phosphate_star | Atlantic | (27.95,28.05] | 0.9332927 | 0.9012700 | 0.9659263 |
| silicate + phosphate_star | Atlantic | (28.05,28.1] | 0.9540008 | 0.9320947 | 0.9779494 |
| silicate + phosphate_star | Atlantic | (28.1,28.15] | 0.9753859 | 0.9675830 | 0.9846219 |
| silicate + phosphate_star | Atlantic | (28.15,28.2] | 0.9860668 | 0.9734670 | 0.9945214 |
| silicate + phosphate_star | Atlantic | (28.2, Inf] | 0.9128949 | 0.8527409 | 0.9725998 |
| silicate + phosphate_star | Indo-Pacific | (-Inf,26] | 0.7682080 | 0.7268218 | 0.8324700 |
| silicate + phosphate_star | Indo-Pacific | (26,26.5] | 0.7673308 | 0.7449613 | 0.7842963 |
| silicate + phosphate_star | Indo-Pacific | (26.5,26.75] | 0.7845209 | 0.7250399 | 0.8344034 |
| silicate + phosphate_star | Indo-Pacific | (26.75,27] | 0.7289863 | 0.6871021 | 0.7590251 |
| silicate + phosphate_star | Indo-Pacific | (27,27.25] | 0.3775714 | 0.2953182 | 0.4439564 |
| silicate + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.2221861 | -0.2489627 | -0.1753808 |
| silicate + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.2458052 | -0.3898529 | -0.0015697 |
| silicate + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.4463844 | -0.6101722 | -0.3326620 |
| silicate + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.0025785 | -0.0172836 | 0.0264031 |
| silicate + phosphate_star | Indo-Pacific | (27.95,28.05] | 0.3396272 | 0.2381273 | 0.4081203 |
| silicate + phosphate_star | Indo-Pacific | (28.05,28.1] | 0.4830861 | 0.4458256 | 0.5510221 |
| silicate + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.0166541 | -0.1546647 | 0.1840703 |
| tem + aou | Atlantic | (-Inf,26] | -0.1609233 | -0.4699105 | 0.3250702 |
| tem + aou | Atlantic | (26,26.5] | -0.3303170 | -0.7155722 | -0.0467469 |
| tem + aou | Atlantic | (26.5,26.75] | -0.3253878 | -0.5334323 | -0.1341365 |
| tem + aou | Atlantic | (26.75,27] | -0.1578709 | -0.2600000 | -0.0093557 |
| tem + aou | Atlantic | (27,27.25] | -0.2149015 | -0.4208527 | 0.0067270 |
| tem + aou | Atlantic | (27.25,27.5] | -0.1899476 | -0.3283009 | -0.0882740 |
| tem + aou | Atlantic | (27.5,27.75] | -0.4357202 | -0.5068225 | -0.3553203 |
| tem + aou | Atlantic | (27.75,27.85] | -0.4260323 | -0.4777196 | -0.3995761 |
| tem + aou | Atlantic | (27.85,27.95] | -0.2720541 | -0.3711649 | -0.1303451 |
| tem + aou | Atlantic | (27.95,28.05] | -0.5142528 | -0.6072569 | -0.4063636 |
| tem + aou | Atlantic | (28.05,28.1] | -0.6331735 | -0.7631388 | -0.5433234 |
| tem + aou | Atlantic | (28.1,28.15] | -0.6758146 | -0.7011800 | -0.6347554 |
| tem + aou | Atlantic | (28.15,28.2] | -0.7621965 | -0.8195972 | -0.7069110 |
| tem + aou | Atlantic | (28.2, Inf] | 0.3692502 | 0.3276191 | 0.3936763 |
| tem + aou | Indo-Pacific | (-Inf,26] | -0.2765020 | -0.4123548 | -0.2027597 |
| tem + aou | Indo-Pacific | (26,26.5] | -0.1169827 | -0.3024046 | -0.0114244 |
| tem + aou | Indo-Pacific | (26.5,26.75] | -0.0311420 | -0.3228928 | 0.2526348 |
| tem + aou | Indo-Pacific | (26.75,27] | -0.1588546 | -0.3297678 | -0.0116407 |
| tem + aou | Indo-Pacific | (27,27.25] | -0.1180092 | -0.2762285 | 0.1401590 |
| tem + aou | Indo-Pacific | (27.25,27.5] | 0.1259680 | 0.0059086 | 0.3048698 |
| tem + aou | Indo-Pacific | (27.5,27.75] | 0.3502373 | 0.1951595 | 0.5072673 |
| tem + aou | Indo-Pacific | (27.75,27.85] | 0.0301987 | -0.2010291 | 0.2873408 |
| tem + aou | Indo-Pacific | (27.85,27.95] | 0.0089834 | -0.2129490 | 0.1903371 |
| tem + aou | Indo-Pacific | (27.95,28.05] | 0.1525056 | 0.1268865 | 0.1665650 |
| tem + aou | Indo-Pacific | (28.05,28.1] | 0.2460187 | 0.1501208 | 0.3306282 |
| tem + aou | Indo-Pacific | (28.1, Inf] | 0.8500778 | 0.8051669 | 0.8753908 |
| tem + oxygen | Atlantic | (-Inf,26] | -0.2164670 | -0.5936994 | 0.0058762 |
| tem + oxygen | Atlantic | (26,26.5] | -0.1125356 | -0.3685972 | 0.2239072 |
| tem + oxygen | Atlantic | (26.5,26.75] | 0.0927455 | -0.0549283 | 0.3280200 |
| tem + oxygen | Atlantic | (26.75,27] | -0.0327685 | -0.1216066 | 0.0541739 |
| tem + oxygen | Atlantic | (27,27.25] | 0.0034670 | -0.1818467 | 0.2219292 |
| tem + oxygen | Atlantic | (27.25,27.5] | -0.1367572 | -0.2230292 | 0.0267837 |
| tem + oxygen | Atlantic | (27.5,27.75] | 0.0897006 | -0.0746190 | 0.2714167 |
| tem + oxygen | Atlantic | (27.75,27.85] | 0.1984605 | 0.1256120 | 0.3002292 |
| tem + oxygen | Atlantic | (27.85,27.95] | 0.1258785 | -0.0350568 | 0.2140311 |
| tem + oxygen | Atlantic | (27.95,28.05] | 0.3805115 | 0.2706280 | 0.5013315 |
| tem + oxygen | Atlantic | (28.05,28.1] | 0.5177321 | 0.3769699 | 0.6948860 |
| tem + oxygen | Atlantic | (28.1,28.15] | 0.5898791 | 0.5527607 | 0.6092000 |
| tem + oxygen | Atlantic | (28.15,28.2] | 0.7232560 | 0.6568555 | 0.7926718 |
| tem + oxygen | Atlantic | (28.2, Inf] | -0.5148813 | -0.5584776 | -0.4542743 |
| tem + oxygen | Indo-Pacific | (-Inf,26] | -0.1038245 | -0.2545687 | -0.0070798 |
| tem + oxygen | Indo-Pacific | (26,26.5] | -0.0705218 | -0.1612640 | 0.0849072 |
| tem + oxygen | Indo-Pacific | (26.5,26.75] | -0.1323264 | -0.4114707 | 0.1434545 |
| tem + oxygen | Indo-Pacific | (26.75,27] | -0.0162112 | -0.1563091 | 0.1542202 |
| tem + oxygen | Indo-Pacific | (27,27.25] | -0.0117814 | -0.2960367 | 0.1602459 |
| tem + oxygen | Indo-Pacific | (27.25,27.5] | -0.2416488 | -0.4541845 | -0.1030775 |
| tem + oxygen | Indo-Pacific | (27.5,27.75] | -0.4674139 | -0.6052279 | -0.3040122 |
| tem + oxygen | Indo-Pacific | (27.75,27.85] | -0.1089671 | -0.4019084 | 0.1562325 |
| tem + oxygen | Indo-Pacific | (27.85,27.95] | -0.0879039 | -0.2940632 | 0.1638898 |
| tem + oxygen | Indo-Pacific | (27.95,28.05] | -0.2499622 | -0.2764310 | -0.2215051 |
| tem + oxygen | Indo-Pacific | (28.05,28.1] | -0.3337363 | -0.4267220 | -0.2414689 |
| tem + oxygen | Indo-Pacific | (28.1, Inf] | -0.9078995 | -0.9232234 | -0.8809520 |
| tem + phosphate | Atlantic | (-Inf,26] | -0.5783896 | -0.6318743 | -0.4905972 |
| tem + phosphate | Atlantic | (26,26.5] | -0.7946448 | -0.8634886 | -0.7562641 |
| tem + phosphate | Atlantic | (26.5,26.75] | -0.7004701 | -0.8044186 | -0.5331652 |
| tem + phosphate | Atlantic | (26.75,27] | -0.5899148 | -0.7015809 | -0.3872423 |
| tem + phosphate | Atlantic | (27,27.25] | -0.6851476 | -0.7865898 | -0.5185317 |
| tem + phosphate | Atlantic | (27.25,27.5] | -0.7821860 | -0.8200453 | -0.7202971 |
| tem + phosphate | Atlantic | (27.5,27.75] | -0.7715073 | -0.7969871 | -0.7482102 |
| tem + phosphate | Atlantic | (27.75,27.85] | -0.6721441 | -0.6833127 | -0.6506868 |
| tem + phosphate | Atlantic | (27.85,27.95] | -0.4999790 | -0.6055896 | -0.4020675 |
| tem + phosphate | Atlantic | (27.95,28.05] | -0.6458332 | -0.7105991 | -0.5613624 |
| tem + phosphate | Atlantic | (28.05,28.1] | -0.7500432 | -0.8022796 | -0.7085875 |
| tem + phosphate | Atlantic | (28.1,28.15] | -0.7594118 | -0.7988166 | -0.7089726 |
| tem + phosphate | Atlantic | (28.15,28.2] | -0.7651776 | -0.8010031 | -0.7426635 |
| tem + phosphate | Atlantic | (28.2, Inf] | 0.0585734 | -0.0121629 | 0.1317525 |
| tem + phosphate | Indo-Pacific | (-Inf,26] | -0.4414159 | -0.5911273 | -0.2985427 |
| tem + phosphate | Indo-Pacific | (26,26.5] | -0.3637090 | -0.5526212 | -0.2653459 |
| tem + phosphate | Indo-Pacific | (26.5,26.75] | -0.2955112 | -0.5690505 | -0.0631812 |
| tem + phosphate | Indo-Pacific | (26.75,27] | -0.4278935 | -0.5948751 | -0.2878471 |
| tem + phosphate | Indo-Pacific | (27,27.25] | -0.3077085 | -0.4104837 | -0.1044570 |
| tem + phosphate | Indo-Pacific | (27.25,27.5] | 0.0053930 | -0.1057113 | 0.0909536 |
| tem + phosphate | Indo-Pacific | (27.5,27.75] | 0.3813762 | 0.2032355 | 0.6749976 |
| tem + phosphate | Indo-Pacific | (27.75,27.85] | -0.0026459 | -0.1687655 | 0.2047482 |
| tem + phosphate | Indo-Pacific | (27.85,27.95] | -0.0615470 | -0.2268579 | 0.0887766 |
| tem + phosphate | Indo-Pacific | (27.95,28.05] | -0.0254643 | -0.0429826 | -0.0031797 |
| tem + phosphate | Indo-Pacific | (28.05,28.1] | 0.0332898 | -0.0552395 | 0.0926154 |
| tem + phosphate | Indo-Pacific | (28.1, Inf] | 0.3983748 | 0.2545421 | 0.4851177 |
| tem + phosphate_star | Atlantic | (-Inf,26] | -0.7452110 | -0.8238385 | -0.6468132 |
| tem + phosphate_star | Atlantic | (26,26.5] | -0.9433003 | -0.9653905 | -0.9242963 |
| tem + phosphate_star | Atlantic | (26.5,26.75] | -0.9630107 | -0.9833261 | -0.9257287 |
| tem + phosphate_star | Atlantic | (26.75,27] | -0.9785410 | -0.9869109 | -0.9670697 |
| tem + phosphate_star | Atlantic | (27,27.25] | -0.9841065 | -0.9851539 | -0.9832754 |
| tem + phosphate_star | Atlantic | (27.25,27.5] | -0.9805101 | -0.9841853 | -0.9738466 |
| tem + phosphate_star | Atlantic | (27.5,27.75] | -0.9286862 | -0.9416058 | -0.9104082 |
| tem + phosphate_star | Atlantic | (27.75,27.85] | -0.8851127 | -0.9030963 | -0.8530888 |
| tem + phosphate_star | Atlantic | (27.85,27.95] | -0.8040489 | -0.8546980 | -0.7719839 |
| tem + phosphate_star | Atlantic | (27.95,28.05] | -0.7986336 | -0.8667423 | -0.7591601 |
| tem + phosphate_star | Atlantic | (28.05,28.1] | -0.8505384 | -0.8761309 | -0.8226136 |
| tem + phosphate_star | Atlantic | (28.1,28.15] | -0.8389574 | -0.8776126 | -0.7909038 |
| tem + phosphate_star | Atlantic | (28.15,28.2] | -0.7841192 | -0.8009757 | -0.7523747 |
| tem + phosphate_star | Atlantic | (28.2, Inf] | -0.2217223 | -0.3679796 | -0.0718525 |
| tem + phosphate_star | Indo-Pacific | (-Inf,26] | -0.7559080 | -0.8456010 | -0.6290706 |
| tem + phosphate_star | Indo-Pacific | (26,26.5] | -0.8175646 | -0.8945085 | -0.7598741 |
| tem + phosphate_star | Indo-Pacific | (26.5,26.75] | -0.8637610 | -0.9218768 | -0.8053617 |
| tem + phosphate_star | Indo-Pacific | (26.75,27] | -0.9332104 | -0.9568394 | -0.9060655 |
| tem + phosphate_star | Indo-Pacific | (27,27.25] | -0.9110216 | -0.9278133 | -0.8783444 |
| tem + phosphate_star | Indo-Pacific | (27.25,27.5] | -0.7057151 | -0.9001897 | -0.4943386 |
| tem + phosphate_star | Indo-Pacific | (27.5,27.75] | -0.2042084 | -0.8201021 | 0.4309248 |
| tem + phosphate_star | Indo-Pacific | (27.75,27.85] | -0.4075034 | -0.6999555 | 0.0198276 |
| tem + phosphate_star | Indo-Pacific | (27.85,27.95] | -0.5748791 | -0.7043122 | -0.3659200 |
| tem + phosphate_star | Indo-Pacific | (27.95,28.05] | -0.7548649 | -0.8271050 | -0.6952757 |
| tem + phosphate_star | Indo-Pacific | (28.05,28.1] | -0.6292655 | -0.6610141 | -0.5662088 |
| tem + phosphate_star | Indo-Pacific | (28.1, Inf] | -0.8853183 | -0.9020680 | -0.8724200 |
| tem + silicate | Atlantic | (-Inf,26] | -0.6314767 | -0.6892882 | -0.5272444 |
| tem + silicate | Atlantic | (26,26.5] | -0.7343888 | -0.8457401 | -0.6629020 |
| tem + silicate | Atlantic | (26.5,26.75] | -0.6208429 | -0.7374647 | -0.4670495 |
| tem + silicate | Atlantic | (26.75,27] | -0.4935717 | -0.5979345 | -0.3085724 |
| tem + silicate | Atlantic | (27,27.25] | -0.6806363 | -0.7479096 | -0.5824616 |
| tem + silicate | Atlantic | (27.25,27.5] | -0.8447401 | -0.8514773 | -0.8404023 |
| tem + silicate | Atlantic | (27.5,27.75] | -0.7961077 | -0.8072728 | -0.7837147 |
| tem + silicate | Atlantic | (27.75,27.85] | -0.7097857 | -0.7147011 | -0.7016893 |
| tem + silicate | Atlantic | (27.85,27.95] | -0.5992240 | -0.6842031 | -0.5156561 |
| tem + silicate | Atlantic | (27.95,28.05] | -0.7262763 | -0.7751130 | -0.6465143 |
| tem + silicate | Atlantic | (28.05,28.1] | -0.7735253 | -0.8460199 | -0.7337805 |
| tem + silicate | Atlantic | (28.1,28.15] | -0.7756583 | -0.7933805 | -0.7544460 |
| tem + silicate | Atlantic | (28.15,28.2] | -0.7584732 | -0.8090076 | -0.7125194 |
| tem + silicate | Atlantic | (28.2, Inf] | 0.0725282 | 0.0268718 | 0.1029516 |
| tem + silicate | Indo-Pacific | (-Inf,26] | -0.5842398 | -0.7257970 | -0.4191867 |
| tem + silicate | Indo-Pacific | (26,26.5] | -0.5908918 | -0.6937474 | -0.4398689 |
| tem + silicate | Indo-Pacific | (26.5,26.75] | -0.6506173 | -0.7862144 | -0.5280643 |
| tem + silicate | Indo-Pacific | (26.75,27] | -0.6559826 | -0.7436209 | -0.5114372 |
| tem + silicate | Indo-Pacific | (27,27.25] | -0.4803310 | -0.6173177 | -0.2908227 |
| tem + silicate | Indo-Pacific | (27.25,27.5] | -0.1995615 | -0.2653292 | -0.0687463 |
| tem + silicate | Indo-Pacific | (27.5,27.75] | 0.0847762 | -0.0270494 | 0.3046667 |
| tem + silicate | Indo-Pacific | (27.75,27.85] | -0.0955189 | -0.2568067 | 0.0910175 |
| tem + silicate | Indo-Pacific | (27.85,27.95] | -0.1322278 | -0.3048418 | 0.0069328 |
| tem + silicate | Indo-Pacific | (27.95,28.05] | -0.0491129 | -0.0664545 | -0.0268182 |
| tem + silicate | Indo-Pacific | (28.05,28.1] | 0.1054351 | 0.0130633 | 0.1613521 |
| tem + silicate | Indo-Pacific | (28.1, Inf] | 0.2623824 | 0.0435483 | 0.3822239 |
rm(cor_predictors, cor_predictors_stats)3.2.3 C* vs individual predictors
Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).
cor_cstar_predictor <-
read_csv(here::here("data/eMLR",
"cor_cstar_predictor.csv")) %>%
rename(predictor = rowname)
cor_cstar_predictor_stats <- cor_cstar_predictor %>%
group_by(predictor, basin, gamma_slab) %>%
summarise(mean_r = mean(cstar),
min_r = min(cstar),
max_r = max(cstar)) %>%
ungroup()
cor_cstar_predictor_stats %>%
mutate(predictor = reorder(predictor, mean_r)) %>%
ggplot() +
geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
geom_vline(xintercept = 0) +
geom_linerange(
aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
position = position_dodge(width = 0.6)) +
facet_wrap(~basin) +
scale_color_viridis_d(direction = -1) +
labs(x = "correlation coefficient", y = "C* correlation with...") +
theme(legend.position = "top")
kable(cor_cstar_predictor_stats) %>%
add_header_above() %>%
kable_styling() %>%
scroll_box(width = "100%", height = "400px")| predictor | basin | gamma_slab | mean_r | min_r | max_r |
|---|---|---|---|---|---|
| aou | Atlantic | (-Inf,26] | 0.3630134 | 0.1419309 | 0.4751879 |
| aou | Atlantic | (26,26.5] | -0.1563355 | -0.4352203 | 0.0381315 |
| aou | Atlantic | (26.5,26.75] | -0.3589450 | -0.4151743 | -0.2554320 |
| aou | Atlantic | (26.75,27] | -0.2281322 | -0.3488653 | -0.1063398 |
| aou | Atlantic | (27,27.25] | -0.4301956 | -0.5510256 | -0.2561341 |
| aou | Atlantic | (27.25,27.5] | -0.4430352 | -0.5045440 | -0.3927376 |
| aou | Atlantic | (27.5,27.75] | -0.7946963 | -0.8693680 | -0.7544893 |
| aou | Atlantic | (27.75,27.85] | -0.9054480 | -0.9382735 | -0.8889568 |
| aou | Atlantic | (27.85,27.95] | -0.9233510 | -0.9442052 | -0.9112837 |
| aou | Atlantic | (27.95,28.05] | -0.8794880 | -0.8930597 | -0.8641619 |
| aou | Atlantic | (28.05,28.1] | -0.8481376 | -0.8627750 | -0.8316113 |
| aou | Atlantic | (28.1,28.15] | -0.8888149 | -0.9008212 | -0.8682493 |
| aou | Atlantic | (28.15,28.2] | -0.9491644 | -0.9590966 | -0.9333587 |
| aou | Atlantic | (28.2, Inf] | -0.2240133 | -0.3336760 | -0.0124320 |
| aou | Indo-Pacific | (-Inf,26] | -0.1631078 | -0.3383554 | -0.0200397 |
| aou | Indo-Pacific | (26,26.5] | -0.7197597 | -0.7412740 | -0.7051233 |
| aou | Indo-Pacific | (26.5,26.75] | -0.7339392 | -0.7544289 | -0.7170356 |
| aou | Indo-Pacific | (26.75,27] | -0.7083712 | -0.8130617 | -0.6021625 |
| aou | Indo-Pacific | (27,27.25] | 0.0055080 | -0.0595736 | 0.0548386 |
| aou | Indo-Pacific | (27.25,27.5] | 0.5584063 | 0.5066804 | 0.6227077 |
| aou | Indo-Pacific | (27.5,27.75] | 0.6967921 | 0.5942101 | 0.7643037 |
| aou | Indo-Pacific | (27.75,27.85] | 0.7530497 | 0.6299687 | 0.8278334 |
| aou | Indo-Pacific | (27.85,27.95] | 0.6982318 | 0.5621629 | 0.7929390 |
| aou | Indo-Pacific | (27.95,28.05] | 0.4713392 | 0.3089686 | 0.6354836 |
| aou | Indo-Pacific | (28.05,28.1] | 0.2332918 | 0.1678584 | 0.3627352 |
| aou | Indo-Pacific | (28.1, Inf] | 0.3485785 | 0.2071973 | 0.6251329 |
| oxygen | Atlantic | (-Inf,26] | -0.3851613 | -0.4905243 | -0.2444035 |
| oxygen | Atlantic | (26,26.5] | -0.1462441 | -0.3694270 | 0.1895404 |
| oxygen | Atlantic | (26.5,26.75] | 0.1646447 | 0.1064113 | 0.2396681 |
| oxygen | Atlantic | (26.75,27] | 0.0601699 | -0.0052757 | 0.1357952 |
| oxygen | Atlantic | (27,27.25] | 0.2411275 | 0.0918281 | 0.3806102 |
| oxygen | Atlantic | (27.25,27.5] | 0.1384177 | 0.0692568 | 0.2313241 |
| oxygen | Atlantic | (27.5,27.75] | 0.5472411 | 0.4215251 | 0.7358476 |
| oxygen | Atlantic | (27.75,27.85] | 0.8051907 | 0.7501585 | 0.8849199 |
| oxygen | Atlantic | (27.85,27.95] | 0.8910553 | 0.8710052 | 0.9306409 |
| oxygen | Atlantic | (27.95,28.05] | 0.8615734 | 0.8223100 | 0.8971798 |
| oxygen | Atlantic | (28.05,28.1] | 0.8318839 | 0.7852430 | 0.8763495 |
| oxygen | Atlantic | (28.1,28.15] | 0.8832093 | 0.8545391 | 0.9099346 |
| oxygen | Atlantic | (28.15,28.2] | 0.9525379 | 0.9426748 | 0.9625039 |
| oxygen | Atlantic | (28.2, Inf] | 0.0339147 | -0.1479776 | 0.1429703 |
| oxygen | Indo-Pacific | (-Inf,26] | 0.2604473 | 0.1380464 | 0.3847654 |
| oxygen | Indo-Pacific | (26,26.5] | 0.6329071 | 0.5975022 | 0.6607393 |
| oxygen | Indo-Pacific | (26.5,26.75] | 0.6454558 | 0.6255726 | 0.6595645 |
| oxygen | Indo-Pacific | (26.75,27] | 0.6303887 | 0.5246551 | 0.7511841 |
| oxygen | Indo-Pacific | (27,27.25] | 0.0114822 | -0.0565986 | 0.1036378 |
| oxygen | Indo-Pacific | (27.25,27.5] | -0.5101409 | -0.5874432 | -0.4506004 |
| oxygen | Indo-Pacific | (27.5,27.75] | -0.6444350 | -0.7304154 | -0.5108121 |
| oxygen | Indo-Pacific | (27.75,27.85] | -0.7202035 | -0.8120943 | -0.5688265 |
| oxygen | Indo-Pacific | (27.85,27.95] | -0.6749448 | -0.7805677 | -0.5214985 |
| oxygen | Indo-Pacific | (27.95,28.05] | -0.4648857 | -0.6285263 | -0.2977757 |
| oxygen | Indo-Pacific | (28.05,28.1] | -0.2442923 | -0.3700922 | -0.1760617 |
| oxygen | Indo-Pacific | (28.1, Inf] | -0.3747689 | -0.6492750 | -0.2338833 |
| phosphate | Atlantic | (-Inf,26] | -0.2634390 | -0.5382232 | 0.0253010 |
| phosphate | Atlantic | (26,26.5] | -0.6629232 | -0.7125428 | -0.6346049 |
| phosphate | Atlantic | (26.5,26.75] | -0.7050907 | -0.7860834 | -0.6410904 |
| phosphate | Atlantic | (26.75,27] | -0.6328713 | -0.7874788 | -0.4700790 |
| phosphate | Atlantic | (27,27.25] | -0.8282263 | -0.8995519 | -0.7225135 |
| phosphate | Atlantic | (27.25,27.5] | -0.9269873 | -0.9528422 | -0.9097121 |
| phosphate | Atlantic | (27.5,27.75] | -0.9833117 | -0.9881041 | -0.9769614 |
| phosphate | Atlantic | (27.75,27.85] | -0.9695071 | -0.9735446 | -0.9621750 |
| phosphate | Atlantic | (27.85,27.95] | -0.9436290 | -0.9455980 | -0.9416259 |
| phosphate | Atlantic | (27.95,28.05] | -0.9128407 | -0.9206920 | -0.9049096 |
| phosphate | Atlantic | (28.05,28.1] | -0.8903340 | -0.9054755 | -0.8784231 |
| phosphate | Atlantic | (28.1,28.15] | -0.9162440 | -0.9350421 | -0.8994855 |
| phosphate | Atlantic | (28.15,28.2] | -0.9704998 | -0.9818446 | -0.9567023 |
| phosphate | Atlantic | (28.2, Inf] | -0.8347188 | -0.8675442 | -0.7928881 |
| phosphate | Indo-Pacific | (-Inf,26] | -0.1913995 | -0.3909684 | -0.0420507 |
| phosphate | Indo-Pacific | (26,26.5] | -0.8353044 | -0.8592775 | -0.7989698 |
| phosphate | Indo-Pacific | (26.5,26.75] | -0.8698166 | -0.8924097 | -0.8482701 |
| phosphate | Indo-Pacific | (26.75,27] | -0.8331706 | -0.8964471 | -0.7427071 |
| phosphate | Indo-Pacific | (27,27.25] | -0.0783297 | -0.1023873 | -0.0544110 |
| phosphate | Indo-Pacific | (27.25,27.5] | 0.4761827 | 0.4157530 | 0.5509075 |
| phosphate | Indo-Pacific | (27.5,27.75] | 0.6082306 | 0.5064488 | 0.6848100 |
| phosphate | Indo-Pacific | (27.75,27.85] | 0.6705872 | 0.5304817 | 0.7554612 |
| phosphate | Indo-Pacific | (27.85,27.95] | 0.6041472 | 0.4390609 | 0.7270070 |
| phosphate | Indo-Pacific | (27.95,28.05] | 0.3375935 | 0.1337866 | 0.5584876 |
| phosphate | Indo-Pacific | (28.05,28.1] | 0.0667702 | -0.0601851 | 0.2661499 |
| phosphate | Indo-Pacific | (28.1, Inf] | -0.0100540 | -0.2099874 | 0.3191999 |
| phosphate_star | Atlantic | (-Inf,26] | -0.4807784 | -0.6957875 | -0.2003387 |
| phosphate_star | Atlantic | (26,26.5] | -0.8091417 | -0.8399018 | -0.7610586 |
| phosphate_star | Atlantic | (26.5,26.75] | -0.9027065 | -0.9161196 | -0.8766120 |
| phosphate_star | Atlantic | (26.75,27] | -0.9386355 | -0.9570222 | -0.9281030 |
| phosphate_star | Atlantic | (27,27.25] | -0.9546343 | -0.9598283 | -0.9505402 |
| phosphate_star | Atlantic | (27.25,27.5] | -0.9587754 | -0.9708187 | -0.9522994 |
| phosphate_star | Atlantic | (27.5,27.75] | -0.9362934 | -0.9523622 | -0.9208682 |
| phosphate_star | Atlantic | (27.75,27.85] | -0.8899715 | -0.9031061 | -0.8798694 |
| phosphate_star | Atlantic | (27.85,27.95] | -0.7900884 | -0.8272177 | -0.7709771 |
| phosphate_star | Atlantic | (27.95,28.05] | -0.8443370 | -0.8589422 | -0.8204635 |
| phosphate_star | Atlantic | (28.05,28.1] | -0.8633335 | -0.8896178 | -0.8477046 |
| phosphate_star | Atlantic | (28.1,28.15] | -0.8956325 | -0.9262487 | -0.8801600 |
| phosphate_star | Atlantic | (28.15,28.2] | -0.9699085 | -0.9780315 | -0.9585481 |
| phosphate_star | Atlantic | (28.2, Inf] | -0.8545653 | -0.8645916 | -0.8462083 |
| phosphate_star | Indo-Pacific | (-Inf,26] | -0.0847670 | -0.2994491 | 0.0350759 |
| phosphate_star | Indo-Pacific | (26,26.5] | -0.8058708 | -0.8569171 | -0.7569228 |
| phosphate_star | Indo-Pacific | (26.5,26.75] | -0.7960552 | -0.8916832 | -0.6800008 |
| phosphate_star | Indo-Pacific | (26.75,27] | -0.7102797 | -0.8237469 | -0.6252383 |
| phosphate_star | Indo-Pacific | (27,27.25] | -0.1820847 | -0.3118167 | -0.0233861 |
| phosphate_star | Indo-Pacific | (27.25,27.5] | -0.2947875 | -0.3291857 | -0.2424590 |
| phosphate_star | Indo-Pacific | (27.5,27.75] | -0.4937980 | -0.6495571 | -0.2796648 |
| phosphate_star | Indo-Pacific | (27.75,27.85] | -0.5419561 | -0.7473519 | -0.3324532 |
| phosphate_star | Indo-Pacific | (27.85,27.95] | -0.3404367 | -0.3669932 | -0.2886094 |
| phosphate_star | Indo-Pacific | (27.95,28.05] | -0.2646437 | -0.3235298 | -0.1517699 |
| phosphate_star | Indo-Pacific | (28.05,28.1] | -0.3413990 | -0.4597539 | -0.1622186 |
| phosphate_star | Indo-Pacific | (28.1, Inf] | -0.5364030 | -0.6570763 | -0.4673594 |
| sal | Atlantic | (-Inf,26] | 0.2365225 | 0.0734749 | 0.3859604 |
| sal | Atlantic | (26,26.5] | 0.7469835 | 0.6498470 | 0.8183165 |
| sal | Atlantic | (26.5,26.75] | 0.8330659 | 0.7572936 | 0.8787245 |
| sal | Atlantic | (26.75,27] | 0.8982224 | 0.8549365 | 0.9370953 |
| sal | Atlantic | (27,27.25] | 0.9349723 | 0.9298248 | 0.9419112 |
| sal | Atlantic | (27.25,27.5] | 0.9257372 | 0.8967765 | 0.9512750 |
| sal | Atlantic | (27.5,27.75] | 0.8182800 | 0.7771680 | 0.8556114 |
| sal | Atlantic | (27.75,27.85] | 0.6585766 | 0.6267124 | 0.6856026 |
| sal | Atlantic | (27.85,27.95] | 0.4156735 | 0.3570034 | 0.4972083 |
| sal | Atlantic | (27.95,28.05] | 0.5080121 | 0.3567163 | 0.6148995 |
| sal | Atlantic | (28.05,28.1] | 0.6547661 | 0.6399016 | 0.6638754 |
| sal | Atlantic | (28.1,28.15] | 0.7434004 | 0.6942364 | 0.7865172 |
| sal | Atlantic | (28.15,28.2] | 0.8916183 | 0.8461362 | 0.9172979 |
| sal | Atlantic | (28.2, Inf] | 0.7686709 | 0.7419380 | 0.8057282 |
| sal | Indo-Pacific | (-Inf,26] | 0.0274469 | -0.0226847 | 0.0627472 |
| sal | Indo-Pacific | (26,26.5] | 0.4392226 | 0.3273178 | 0.6434093 |
| sal | Indo-Pacific | (26.5,26.75] | 0.4798943 | 0.2847978 | 0.7280987 |
| sal | Indo-Pacific | (26.75,27] | 0.4470131 | 0.3443449 | 0.6510726 |
| sal | Indo-Pacific | (27,27.25] | -0.2362916 | -0.4736099 | -0.1170386 |
| sal | Indo-Pacific | (27.25,27.5] | -0.3405605 | -0.5513390 | -0.1247806 |
| sal | Indo-Pacific | (27.5,27.75] | -0.2733172 | -0.3900007 | -0.1994310 |
| sal | Indo-Pacific | (27.75,27.85] | -0.3942449 | -0.5416526 | -0.3165774 |
| sal | Indo-Pacific | (27.85,27.95] | -0.3745539 | -0.5594583 | -0.2421437 |
| sal | Indo-Pacific | (27.95,28.05] | -0.1024948 | -0.1950281 | -0.0065760 |
| sal | Indo-Pacific | (28.05,28.1] | 0.0287418 | -0.1083097 | 0.1479284 |
| sal | Indo-Pacific | (28.1, Inf] | 0.2818376 | 0.2502474 | 0.3253387 |
| silicate | Atlantic | (-Inf,26] | -0.2134834 | -0.4643214 | -0.0567875 |
| silicate | Atlantic | (26,26.5] | -0.6336183 | -0.7254259 | -0.5697999 |
| silicate | Atlantic | (26.5,26.75] | -0.6482558 | -0.7136221 | -0.5975277 |
| silicate | Atlantic | (26.75,27] | -0.5407523 | -0.6658767 | -0.4095320 |
| silicate | Atlantic | (27,27.25] | -0.8081977 | -0.8468806 | -0.7637488 |
| silicate | Atlantic | (27.25,27.5] | -0.8926907 | -0.9051364 | -0.8768222 |
| silicate | Atlantic | (27.5,27.75] | -0.8927125 | -0.9016094 | -0.8861649 |
| silicate | Atlantic | (27.75,27.85] | -0.8897053 | -0.9049048 | -0.8744706 |
| silicate | Atlantic | (27.85,27.95] | -0.8703979 | -0.8852390 | -0.8609114 |
| silicate | Atlantic | (27.95,28.05] | -0.8509253 | -0.8677956 | -0.8297739 |
| silicate | Atlantic | (28.05,28.1] | -0.8482499 | -0.8592483 | -0.8346005 |
| silicate | Atlantic | (28.1,28.15] | -0.8948804 | -0.9152009 | -0.8825586 |
| silicate | Atlantic | (28.15,28.2] | -0.9597147 | -0.9693586 | -0.9435245 |
| silicate | Atlantic | (28.2, Inf] | -0.7278472 | -0.8543543 | -0.6312174 |
| silicate | Indo-Pacific | (-Inf,26] | -0.2164873 | -0.3847015 | -0.0967961 |
| silicate | Indo-Pacific | (26,26.5] | -0.7242979 | -0.7447296 | -0.6983791 |
| silicate | Indo-Pacific | (26.5,26.75] | -0.7188470 | -0.7699098 | -0.6213263 |
| silicate | Indo-Pacific | (26.75,27] | -0.6360629 | -0.6835511 | -0.6018582 |
| silicate | Indo-Pacific | (27,27.25] | 0.2278806 | 0.1959822 | 0.2787561 |
| silicate | Indo-Pacific | (27.25,27.5] | 0.7584763 | 0.7018964 | 0.7902729 |
| silicate | Indo-Pacific | (27.5,27.75] | 0.8350958 | 0.7722744 | 0.8691630 |
| silicate | Indo-Pacific | (27.75,27.85] | 0.7908423 | 0.6951804 | 0.8532156 |
| silicate | Indo-Pacific | (27.85,27.95] | 0.6894908 | 0.5582749 | 0.7867268 |
| silicate | Indo-Pacific | (27.95,28.05] | 0.4373680 | 0.2648084 | 0.6216506 |
| silicate | Indo-Pacific | (28.05,28.1] | 0.1688318 | 0.0881554 | 0.3063278 |
| silicate | Indo-Pacific | (28.1, Inf] | 0.0204040 | -0.1057661 | 0.2352702 |
| tem | Atlantic | (-Inf,26] | 0.0530334 | -0.2374297 | 0.2531373 |
| tem | Atlantic | (26,26.5] | 0.6812080 | 0.5271303 | 0.7727815 |
| tem | Atlantic | (26.5,26.75] | 0.8329987 | 0.7957542 | 0.8655299 |
| tem | Atlantic | (26.75,27] | 0.8804540 | 0.8430452 | 0.9207110 |
| tem | Atlantic | (27,27.25] | 0.9099887 | 0.9054755 | 0.9126927 |
| tem | Atlantic | (27.25,27.5] | 0.9125697 | 0.8911653 | 0.9364547 |
| tem | Atlantic | (27.5,27.75] | 0.7901888 | 0.7417805 | 0.8349172 |
| tem | Atlantic | (27.75,27.85] | 0.6509860 | 0.5995894 | 0.6885488 |
| tem | Atlantic | (27.85,27.95] | 0.3965597 | 0.3197936 | 0.5229998 |
| tem | Atlantic | (27.95,28.05] | 0.4846175 | 0.4007888 | 0.5854762 |
| tem | Atlantic | (28.05,28.1] | 0.5469074 | 0.5255918 | 0.5738362 |
| tem | Atlantic | (28.1,28.15] | 0.5708419 | 0.4509097 | 0.6380018 |
| tem | Atlantic | (28.15,28.2] | 0.6456377 | 0.5764738 | 0.6973927 |
| tem | Atlantic | (28.2, Inf] | 0.5838365 | 0.4769864 | 0.6460908 |
| tem | Indo-Pacific | (-Inf,26] | -0.2658207 | -0.3352566 | -0.1859423 |
| tem | Indo-Pacific | (26,26.5] | 0.4570416 | 0.3292963 | 0.6329747 |
| tem | Indo-Pacific | (26.5,26.75] | 0.4721003 | 0.2902499 | 0.7088406 |
| tem | Indo-Pacific | (26.75,27] | 0.4917528 | 0.3813188 | 0.6736379 |
| tem | Indo-Pacific | (27,27.25] | -0.1153017 | -0.3315383 | 0.0223081 |
| tem | Indo-Pacific | (27.25,27.5] | -0.3105988 | -0.4822067 | -0.1260311 |
| tem | Indo-Pacific | (27.5,27.75] | -0.3211375 | -0.4479863 | -0.2348691 |
| tem | Indo-Pacific | (27.75,27.85] | -0.3323950 | -0.4827163 | -0.2505765 |
| tem | Indo-Pacific | (27.85,27.95] | -0.2626913 | -0.4015841 | -0.1417037 |
| tem | Indo-Pacific | (27.95,28.05] | 0.0204582 | -0.0292284 | 0.0457216 |
| tem | Indo-Pacific | (28.05,28.1] | 0.1451225 | 0.1028191 | 0.1697619 |
| tem | Indo-Pacific | (28.1, Inf] | 0.3941233 | 0.2367903 | 0.6758548 |
rm(cor_cstar_predictor, cor_cstar_predictor_stats)
sessionInfo()R version 4.0.2 (2020-06-22)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)
Matrix products: default
locale:
[1] LC_COLLATE=English_Germany.1252 LC_CTYPE=English_Germany.1252
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C
[5] LC_TIME=English_Germany.1252
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] corrr_0.4.2 broom_0.7.0 kableExtra_1.1.0 knitr_1.30
[5] olsrr_0.5.3.9000 GGally_2.0.0 lubridate_1.7.9 metR_0.7.0
[9] scico_1.2.0 patchwork_1.0.1 collapse_1.3.2 forcats_0.5.0
[13] stringr_1.4.0 dplyr_1.0.0 purrr_0.3.4 readr_1.3.1
[17] tidyr_1.1.0 tibble_3.0.3 ggplot2_3.3.2 tidyverse_1.3.0
[21] workflowr_1.6.2
loaded via a namespace (and not attached):
[1] fs_1.4.2 webshot_0.5.2 RColorBrewer_1.1-2 httr_1.4.2
[5] rprojroot_1.3-2 tools_4.0.2 backports_1.1.8 R6_2.4.1
[9] nortest_1.0-4 DBI_1.1.0 colorspace_1.4-1 withr_2.2.0
[13] gridExtra_2.3 tidyselect_1.1.0 curl_4.3 compiler_4.0.2
[17] git2r_0.27.1 cli_2.0.2 rvest_0.3.6 xml2_1.3.2
[21] sandwich_2.5-1 labeling_0.3 scales_1.1.1 checkmate_2.0.0
[25] goftest_1.2-2 digest_0.6.25 foreign_0.8-80 rmarkdown_2.3
[29] rio_0.5.16 pkgconfig_2.0.3 htmltools_0.5.0 highr_0.8
[33] dbplyr_1.4.4 rlang_0.4.7 readxl_1.3.1 rstudioapi_0.11
[37] farver_2.0.3 generics_0.0.2 zoo_1.8-8 jsonlite_1.7.0
[41] zip_2.0.4 car_3.0-8 magrittr_1.5 Formula_1.2-3
[45] Matrix_1.2-18 Rcpp_1.0.5 munsell_0.5.0 fansi_0.4.1
[49] abind_1.4-5 lifecycle_0.2.0 stringi_1.4.6 whisker_0.4
[53] yaml_2.2.1 carData_3.0-4 plyr_1.8.6 grid_4.0.2
[57] blob_1.2.1 parallel_4.0.2 promises_1.1.1 crayon_1.3.4
[61] lattice_0.20-41 haven_2.3.1 hms_0.5.3 pillar_1.4.6
[65] reprex_0.3.0 glue_1.4.1 evaluate_0.14 data.table_1.13.0
[69] modelr_0.1.8 vctrs_0.3.2 httpuv_1.5.4 cellranger_1.1.0
[73] gtable_0.3.0 reshape_0.8.8 assertthat_0.2.1 xfun_0.16
[77] openxlsx_4.1.5 xtable_1.8-4 lfe_2.8-5.1 later_1.1.0.1
[81] viridisLite_0.3.0 ellipsis_0.3.1 here_0.1