Data base
Jens Daniel Müller
28 July, 2020
Last updated: 2020-07-28
Checks: 7 0
Knit directory: Cant_eMLR/
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library(tidyverse)
library(lubridate)
library(patchwork)
library(broom)
library(GGally)
library(olsrr)1 Required data
Required are:
- clean version of GLODAPGLODAPv2.2020
- C_ant from GLODAPv2_2016b_MappedClimatologies
- annual mean atmospheric pCO2
GLODAP <- read_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
"GLODAPv2.2020_clean.csv"))
Cant_clim <- read_csv(here::here("data/GLODAPv2_2016b_MappedClimatologies/_summarized_files",
"Cant.csv"))
co2_atm <- read_csv(here::here("data/pCO2_atmosphere/_summarized_data_files",
"co2_atm.csv"))2 C*
2.1 Stoichiometric ratios
rCP <- 117
rNP <- 16The stoichiometric nutrient ratios for the production and mineralization of organic matter were set to:
- C/P: 117
- N/P: 16
2.2 Calculation
GLODAP <- GLODAP %>%
mutate(rCP_phosphate = -rCP * phosphate,
talk_05 = -0.5 * talk,
rNP_phosphate_05 = -0.5 * rNP * phosphate,
Cstar = tco2 + rCP_phosphate + talk_05 + rNP_phosphate_05)3 Reference year adjustment
The scaling factor for the reference year adjustment is an apriori estiamte of Cant at a given location and depth. Here, Cant from the GLODAP mapped Climatology was used.
Note that eq. 6 in Clement and Gruber (2018) misses pCO2 pre-industrial in the denominator. Here we use the equation published in Gruber et al. (2019).
3.1 Merge GLODAP data set with…
3.1.1 … Cant
Cant_clim <- Cant_clim %>%
drop_na()
# GLODAP_Cant_full <- full_join(GLODAP, Cant_clim)
#
# GLODAP_Cant_full %>% write_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
# "GLODAP_Cant_full.csv"))
GLODAP_Cant_full <- read_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
"GLODAP_Cant_full.csv"))The mapped Cant product was merged with GLODAP observation by:
- using an identical 1x1° horizontal grid
- linear interpolation of Cant from standard to sampling depth
GLODAP_Cant_observations_available <- GLODAP_Cant_full %>%
group_by(lat, lon) %>%
mutate(n_GLODAP = sum(!is.na(Cstar))) %>%
ungroup() %>%
filter(n_GLODAP > 0) %>%
select(-n_GLODAP)
rm(GLODAP_Cant_full)
GLODAP_Cant_observations_available <- GLODAP_Cant_observations_available %>%
group_by(lat, lon) %>%
arrange(depth) %>%
mutate(Cant_int = approxfun(depth, Cant, rule = 2)(depth)) %>%
ungroup()
ggplot() +
geom_path(data = GLODAP_Cant_observations_available %>%
filter(lat == 48.5, lon == 165.5, !is.na(Cant)) %>%
arrange(depth),
aes(Cant, depth, col = "mapped")) +
geom_point(data = GLODAP_Cant_observations_available %>%
filter(lat == 48.5, lon == 165.5, !is.na(Cant)) %>%
arrange(depth),
aes(Cant, depth, col = "mapped")) +
geom_point(data = GLODAP_Cant_observations_available %>%
filter(lat == 48.5, lon == 165.5, date == ymd("2018-06-27")),
aes(Cant_int, depth, col = "interpolated")) +
scale_y_reverse() +
scale_color_brewer(palette = "Dark2", name = "") +
labs(title = "Cant interpolation to sampling depth - example profile")
GLODAP <- GLODAP_Cant_observations_available %>%
filter(!is.na(Cstar)) %>%
mutate(Cant = Cant_int) %>%
select(-Cant_int)
rm(GLODAP_Cant_observations_available, Cant_clim)3.1.2 … Atmospheric pCO2
GLODAP <- left_join(GLODAP, co2_atm)3.2 Calculate adjustment
GLODAP <- GLODAP %>%
group_by(era) %>%
mutate(tref = median(year)) %>%
ungroup()
tref <- GLODAP %>%
group_by(era) %>%
summarise(year = median(year)) %>%
ungroup()
co2_atm_tref <- right_join(co2_atm, tref) %>%
select(-year) %>%
rename(pCO2_tref = pCO2)
GLODAP <- full_join(GLODAP, co2_atm_tref)
rm(co2_atm, co2_atm_tref, tref)
GLODAP <- GLODAP %>%
mutate(Cstar_tref_delta =
((pCO2 - pCO2_tref) / (pCO2_tref - 280)) * Cant,
Cstar_tref = Cstar - Cstar_tref_delta)3.3 Control plots
GLODAP %>%
ggplot(aes(Cstar_tref_delta)) +
geom_histogram()
GLODAP %>%
sample_n(10000) %>%
ggplot(aes(year - tref, Cstar_tref_delta, col=Cant)) +
geom_point() +
scale_color_viridis_c() +
labs(title = "random subsample 1e4")
4 Selected section plots
Selected sections are plotted to demonstrate the magnitude of various parameters and corrections relevant to C*.
cruises_meridional <- c("1041")
# cruises_meridional <- c("1041","1042", "260",
# "2011", "393", "1031", "394", "395",
# "1088", "983")
# cruises_zonal <- c()
GLODAP_cruise <- GLODAP %>%
filter(cruise %in% cruises_meridional)bbox <- c(
"xmin" = min(GLODAP_cruise$lat),
"ymin" = min(GLODAP_cruise$depth),
"xmax" = max(GLODAP_cruise$lat),
"ymax" = max(GLODAP_cruise$depth)
)
grd_template <- expand.grid(
lat = seq(from = bbox["xmin"], to = bbox["xmax"], by = 1),
depth = seq(from = bbox["ymin"], to = bbox["ymax"], by = 50) # 20 m resolution
)
crs_raster_format <- " +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs"
grd_template_raster <- grd_template %>%
dplyr::mutate(Z = 0) %>%
raster::rasterFromXYZ(
crs = crs_raster_format)
# Generalized Additive Model
fit_GAM <- mgcv::gam( # using {mgcv}
gamma ~ s(lat, depth), # here come our X/Y/Z data - straightforward enough
data = GLODAP_cruise # specify in which object the data is stored
)
# Generalized Additive Model
interp_GAM <- grd_template %>%
mutate(Z = predict(fit_GAM, .)) %>%
raster::rasterFromXYZ(crs = crs_raster_format)
df <- raster::rasterToPoints(interp_GAM) %>% as_tibble()
colnames(df) <- c("X", "Y", "Z")
ggplot(df, aes(x = X, y = Y, fill = Z, z = Z)) +
geom_raster() +
geom_contour(col="white") +
ggtitle(label = "interp GAM") +
scale_fill_viridis_c() +
scale_y_reverse() +
coord_cartesian(expand = 0)mapWorld <- borders("world", colour = "gray60", fill = "gray60")
GLODAP_cruise %>%
arrange(date) %>%
ggplot(aes(lon, lat)) +
mapWorld +
geom_path() +
geom_point(aes(col = date)) +
coord_quickmap(expand = 0) +
scale_color_viridis_c(trans = "date") +
labs(title = paste("Cruise year:", mean(GLODAP_cruise$year))) +
theme(legend.position = "bottom")
lat_section <-
GLODAP_cruise %>%
ggplot(aes(lat, depth)) +
scale_y_reverse() +
scale_color_viridis_c() +
theme(legend.position = "bottom")
lat_section +
geom_point(aes(col = tco2))
lat_section +
geom_point(aes(col = talk))
lat_section +
geom_point(aes(col = phosphate))
lat_section +
geom_point(aes(col = rCP_phosphate))
lat_section +
geom_point(aes(col = talk_05))
lat_section +
geom_point(aes(col = rNP_phosphate_05))
lat_section +
geom_point(aes(col = Cstar))
lat_section +
geom_point(aes(col = Cant))
lat_section +
geom_point(aes(col = -Cstar_tref_delta))
rm(mapWorld, lat_section, GLODAP_cruise)5 MLR
5.1 Isoneutral slabs
slabs_Atl <- c(
-Inf,
26.00,
26.50,
26.75,
27.00,
27.25,
27.50,
27.75,
27.85,
27.95,
28.05,
28.10,
28.15,
28.20,
Inf)
slabs_Ind_Pac <- c(
-Inf,
26.00,
26.50,
26.75,
27.00,
27.25,
27.50,
27.75,
27.85,
27.95,
28.05,
28.10,
Inf)The following boundaries for isoneutral slabs were defined:
- Atlantic: -, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1, 28.15, 28.2,
- Indo-Pacific: -, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1,
GLODAP_Atl <- GLODAP %>%
filter(basin == "Atlantic") %>%
mutate(gamma_slab = cut(gamma, slabs_Atl))
GLODAP_Ind_Pac <- GLODAP %>%
filter(basin == "Indo-Pacific") %>%
mutate(gamma_slab = cut(gamma, slabs_Ind_Pac))
GLODAP <- bind_rows(GLODAP_Atl, GLODAP_Ind_Pac)
rm(GLODAP_Atl, GLODAP_Ind_Pac)GLODAP_cruise <- GLODAP %>%
filter(cruise %in% cruises_meridional)
lat_section <-
GLODAP_cruise %>%
ggplot(aes(lat, depth)) +
scale_y_reverse() +
theme(legend.position = "bottom")
lat_section +
geom_point(aes(col = gamma)) +
scale_color_viridis_c()
lat_section +
geom_point(aes(col = gamma_slab)) +
scale_color_viridis_d()
5.2 PO4* calculation
Currently, PO4* is calculated according to Gruber et al. (2019), ie based on nitrate rather than oxygen.
GLODAP <- GLODAP %>%
mutate(phosphate_star = phosphate - 16*nitrate + 29)5.3 Predictor correlation
GLODAP %>%
sample_frac(0.1) %>%
ggpairs(columns = c("Cstar",
"salinity",
"temperature",
"aou",
"oxygen",
"silicate",
"phosphate",
"phosphate_star"),
ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
scale_fill_viridis_d() +
scale_color_viridis_d() +
labs(title = paste("Basin: all | era: all | subsample size: 10 % of", nrow(GLODAP)))
Individual correlation plots for each basin and era are available upon request.
for (i_basin in unique(GLODAP$basin)) {
for (i_era in unique(GLODAP$era)) {
# i_basin <- unique(GLODAP$basin)[1]
# i_era <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)
p <- GLODAP %>%
filter(basin == i_basin, era == i_era) %>%
sample_frac(0.1) %>%
ggpairs(columns = c("salinity","temperature", "aou", "oxygen", "silicate", "phosphate", "phosphate_star"),
ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
scale_fill_viridis_d() +
scale_color_viridis_d() +
labs(title = paste("Basin:", i_basin, "| era:", i_era, "| subsample size: 10%")) +
theme(text = element_text(size=20))
png(here::here("output/figure/eMLR/predictor_correlation",
paste("predictor_correlation", i_basin, i_era, ".png", sep = "_")),
width = 20, height = 20, units = "in", res = 300)
print(p)
dev.off()
}
}5.4 Model fitting
GLODAP %>% write_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
"GLODAP_MLR_fitting_ready.csv"))5.4.1 Predictor selection
# library(devtools)
# install_github("rsquaredacademy/olsrr", ref = "develop")
# gamma_slab_max <- GLODAP %>%
# filter(basin == "Atlantic", era == "new_era") %>%
# group_by(gamma_slab) %>%
# count() %>%
# ungroup() %>%
# filter(n == max(n)) %>%
# pull(1)
for (i_basin in unique(GLODAP$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$gamma_slab)[1]
print(i_gamma_slab)
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
filter(gamma_slab == i_gamma_slab)
lm_full <- lm(Cstar ~
salinity +
temperature +
aou +
oxygen +
silicate +
phosphate +
phosphate_star,
data = GLODAP_basin_era_slab)
lm_all <- ols_step_all_possible(lm_full)
temp <- as_tibble(lm_all$result)
temp <- temp %>%
mutate(basin = i_basin,
era = i_era,
gamma_slab = i_gamma_slab)
if (exists("all_lm_stats")) {
all_lm_stats <- bind_rows(all_lm_stats, temp)
}
if (!exists("all_lm_stats")) {
all_lm_stats <- temp
}
rm(lm_full, lm_all, temp)
}
}
}
all_lm_stats %>%
write_csv(here::here("data/eMLR",
"all_lm_stats.csv"))all_lm_stats <- read_csv(here::here("data/eMLR",
"all_lm_stats.csv"))
# all_lm_stats <- all_lm_stats %>%
# rename(sigma = rmse)
all_lm_stats %>%
ggplot(aes(n, rmse, col = basin)) +
geom_hline(yintercept = 10) +
geom_point(shape = 21) +
facet_grid(gamma_slab~era) +
scale_color_brewer(palette = "Set1")
all_lm_stats %>%
ggplot(aes(n, adjr, col = basin)) +
geom_point(shape = 21) +
facet_grid(gamma_slab~era) +
scale_color_brewer(palette = "Set1")
all_lm_stats %>%
ggplot(aes(n, aic, col = basin)) +
geom_point(shape = 21) +
facet_grid(gamma_slab~era) +
scale_color_brewer(palette = "Set1")
# all_lm_stats %>%
# ggplot(aes(rmse, predictors, col = gamma_slab)) +
# geom_point(shape = 21) +
# facet_grid(.~basin)n_predictors_max <- 5
n_predictors_min <- 2
all_lm_stats <- all_lm_stats %>%
filter(n >= n_predictors_min,
n <= n_predictors_max) %>%
select(basin, era, gamma_slab, predictors, rmse)
all_lm_stats_wide <- all_lm_stats %>%
pivot_wider(names_from = era, values_from = rmse, names_prefix = "rmse_")
all_lm_stats_wide <- all_lm_stats_wide %>%
mutate(rmse_sum = rmse_JGOFS_WOCE + rmse_GO_SHIP + rmse_new_era)
lm_best <- all_lm_stats_wide %>%
group_by(basin, gamma_slab) %>%
slice_min(rmse_sum, n = 10) %>%
ungroup()
knitr::kable(lm_best)| basin | gamma_slab | predictors | rmse_JGOFS_WOCE | rmse_GO_SHIP | rmse_new_era | rmse_sum |
|---|---|---|---|---|---|---|
| Atlantic | (-Inf,26] | salinity temperature aou oxygen phosphate | 7.550032 | 6.771520 | 2.907022 | 17.228574 |
| Atlantic | (-Inf,26] | temperature aou oxygen phosphate phosphate_star | 7.555904 | 6.867631 | 2.808769 | 17.232305 |
| Atlantic | (-Inf,26] | temperature oxygen silicate phosphate phosphate_star | 7.664601 | 6.711614 | 2.875001 | 17.251217 |
| Atlantic | (-Inf,26] | salinity aou oxygen silicate phosphate | 7.685800 | 6.594802 | 3.022896 | 17.303497 |
| Atlantic | (-Inf,26] | salinity temperature oxygen silicate phosphate | 7.563621 | 6.750918 | 2.999168 | 17.313707 |
| Atlantic | (-Inf,26] | salinity temperature aou silicate phosphate | 7.595077 | 6.714718 | 3.004446 | 17.314241 |
| Atlantic | (-Inf,26] | temperature aou silicate phosphate phosphate_star | 7.723956 | 6.731337 | 2.885566 | 17.340859 |
| Atlantic | (-Inf,26] | temperature aou oxygen silicate phosphate | 7.364808 | 7.157006 | 2.908741 | 17.430556 |
| Atlantic | (-Inf,26] | salinity temperature oxygen phosphate phosphate_star | 7.927230 | 6.665964 | 2.850838 | 17.444033 |
| Atlantic | (-Inf,26] | salinity temperature aou phosphate phosphate_star | 7.972526 | 6.621701 | 2.857167 | 17.451394 |
| Atlantic | (26,26.5] | temperature aou oxygen silicate phosphate | 5.398902 | 6.820094 | 3.177855 | 15.396850 |
| Atlantic | (26,26.5] | temperature aou oxygen phosphate phosphate_star | 5.473276 | 6.852965 | 3.239556 | 15.565797 |
| Atlantic | (26,26.5] | temperature aou oxygen phosphate | 5.486390 | 6.865377 | 3.229777 | 15.581544 |
| Atlantic | (26,26.5] | salinity temperature aou oxygen phosphate | 5.489555 | 6.870833 | 3.223062 | 15.583450 |
| Atlantic | (26,26.5] | aou oxygen silicate phosphate phosphate_star | 5.430215 | 6.925799 | 3.236708 | 15.592722 |
| Atlantic | (26,26.5] | temperature aou silicate phosphate phosphate_star | 5.466691 | 6.989282 | 3.252681 | 15.708654 |
| Atlantic | (26,26.5] | salinity aou oxygen phosphate phosphate_star | 5.479773 | 6.975226 | 3.255250 | 15.710249 |
| Atlantic | (26,26.5] | salinity aou oxygen silicate phosphate | 5.468046 | 7.007722 | 3.241181 | 15.716949 |
| Atlantic | (26,26.5] | aou oxygen phosphate phosphate_star | 5.497291 | 6.971558 | 3.255337 | 15.724186 |
| Atlantic | (26,26.5] | aou oxygen silicate phosphate | 5.468817 | 7.030064 | 3.233732 | 15.732613 |
| Atlantic | (26.5,26.75] | temperature aou oxygen silicate phosphate | 5.240758 | 5.609909 | 3.750329 | 14.600997 |
| Atlantic | (26.5,26.75] | salinity temperature aou silicate phosphate | 5.176759 | 5.604248 | 3.852231 | 14.633238 |
| Atlantic | (26.5,26.75] | salinity temperature oxygen silicate phosphate | 5.166316 | 5.586914 | 3.885304 | 14.638534 |
| Atlantic | (26.5,26.75] | temperature oxygen silicate phosphate phosphate_star | 5.232327 | 5.605703 | 3.804564 | 14.642593 |
| Atlantic | (26.5,26.75] | temperature aou silicate phosphate phosphate_star | 5.249031 | 5.624508 | 3.776055 | 14.649594 |
| Atlantic | (26.5,26.75] | aou oxygen silicate phosphate phosphate_star | 5.284625 | 5.664621 | 3.745130 | 14.694376 |
| Atlantic | (26.5,26.75] | salinity aou oxygen silicate phosphate | 5.222671 | 5.661309 | 3.816031 | 14.700011 |
| Atlantic | (26.5,26.75] | salinity temperature aou oxygen phosphate | 5.380562 | 5.581626 | 3.749224 | 14.711413 |
| Atlantic | (26.5,26.75] | temperature aou oxygen phosphate phosphate_star | 5.419142 | 5.601064 | 3.691602 | 14.711807 |
| Atlantic | (26.5,26.75] | temperature oxygen silicate phosphate | 5.247199 | 5.629379 | 3.881238 | 14.757816 |
| Atlantic | (26.75,27] | salinity temperature oxygen silicate phosphate | 4.700839 | 5.102621 | 3.644433 | 13.447893 |
| Atlantic | (26.75,27] | salinity temperature aou silicate phosphate | 4.720364 | 5.111618 | 3.655405 | 13.487387 |
| Atlantic | (26.75,27] | salinity temperature oxygen phosphate phosphate_star | 4.746831 | 5.164122 | 3.644079 | 13.555032 |
| Atlantic | (26.75,27] | temperature oxygen silicate phosphate phosphate_star | 4.751633 | 5.151702 | 3.658999 | 13.562333 |
| Atlantic | (26.75,27] | salinity temperature oxygen phosphate | 4.756606 | 5.185535 | 3.644426 | 13.586567 |
| Atlantic | (26.75,27] | salinity temperature aou phosphate phosphate_star | 4.766806 | 5.169948 | 3.655067 | 13.591822 |
| Atlantic | (26.75,27] | salinity temperature aou oxygen phosphate | 4.759175 | 5.188378 | 3.648195 | 13.595748 |
| Atlantic | (26.75,27] | temperature aou silicate phosphate phosphate_star | 4.778898 | 5.158062 | 3.673369 | 13.610329 |
| Atlantic | (26.75,27] | salinity temperature aou phosphate | 4.772399 | 5.187778 | 3.655341 | 13.615519 |
| Atlantic | (26.75,27] | temperature oxygen phosphate phosphate_star | 4.776784 | 5.176718 | 3.666207 | 13.619709 |
| Atlantic | (27,27.25] | temperature oxygen silicate phosphate phosphate_star | 5.161665 | 4.932551 | 4.442953 | 14.537169 |
| Atlantic | (27,27.25] | temperature aou oxygen phosphate phosphate_star | 5.167431 | 4.967836 | 4.503975 | 14.639242 |
| Atlantic | (27,27.25] | temperature aou silicate phosphate phosphate_star | 5.212668 | 4.968566 | 4.466086 | 14.647320 |
| Atlantic | (27,27.25] | salinity temperature oxygen phosphate phosphate_star | 5.216685 | 4.956480 | 4.519716 | 14.692881 |
| Atlantic | (27,27.25] | temperature oxygen phosphate phosphate_star | 5.252997 | 4.985629 | 4.522532 | 14.761158 |
| Atlantic | (27,27.25] | salinity temperature oxygen silicate phosphate | 5.037028 | 5.054919 | 4.684679 | 14.776625 |
| Atlantic | (27,27.25] | salinity temperature aou phosphate phosphate_star | 5.271525 | 4.989480 | 4.537378 | 14.798384 |
| Atlantic | (27,27.25] | temperature aou phosphate phosphate_star | 5.303862 | 5.020880 | 4.541566 | 14.866309 |
| Atlantic | (27,27.25] | salinity temperature aou silicate phosphate | 5.098029 | 5.076633 | 4.695591 | 14.870253 |
| Atlantic | (27,27.25] | aou oxygen silicate phosphate phosphate_star | 5.352014 | 5.059370 | 4.495158 | 14.906542 |
| Atlantic | (27.25,27.5] | salinity temperature oxygen phosphate phosphate_star | 4.791667 | 4.333156 | 3.676373 | 12.801197 |
| Atlantic | (27.25,27.5] | salinity temperature aou phosphate phosphate_star | 4.838668 | 4.343075 | 3.686797 | 12.868540 |
| Atlantic | (27.25,27.5] | temperature aou oxygen phosphate phosphate_star | 4.786170 | 4.494719 | 3.677703 | 12.958592 |
| Atlantic | (27.25,27.5] | temperature oxygen silicate phosphate phosphate_star | 4.823221 | 4.472507 | 3.666240 | 12.961967 |
| Atlantic | (27.25,27.5] | salinity aou oxygen phosphate phosphate_star | 4.917704 | 4.388202 | 3.708759 | 13.014665 |
| Atlantic | (27.25,27.5] | temperature aou silicate phosphate phosphate_star | 4.871895 | 4.473997 | 3.669087 | 13.014978 |
| Atlantic | (27.25,27.5] | temperature oxygen phosphate phosphate_star | 4.842862 | 4.499322 | 3.676179 | 13.018363 |
| Atlantic | (27.25,27.5] | salinity temperature aou oxygen phosphate | 4.697611 | 4.383332 | 3.973641 | 13.054584 |
| Atlantic | (27.25,27.5] | temperature aou phosphate phosphate_star | 4.884029 | 4.493451 | 3.685046 | 13.062527 |
| Atlantic | (27.25,27.5] | salinity temperature oxygen silicate phosphate | 4.793404 | 4.377980 | 3.904077 | 13.075461 |
| Atlantic | (27.5,27.75] | temperature aou silicate phosphate phosphate_star | 4.185887 | 4.412801 | 4.246096 | 12.844783 |
| Atlantic | (27.5,27.75] | temperature oxygen silicate phosphate phosphate_star | 4.178326 | 4.426235 | 4.249013 | 12.853573 |
| Atlantic | (27.5,27.75] | aou oxygen silicate phosphate phosphate_star | 4.205006 | 4.406567 | 4.245546 | 12.857119 |
| Atlantic | (27.5,27.75] | salinity temperature oxygen silicate phosphate | 4.186857 | 4.401439 | 4.339828 | 12.928123 |
| Atlantic | (27.5,27.75] | salinity temperature aou silicate phosphate | 4.198828 | 4.390050 | 4.341896 | 12.930774 |
| Atlantic | (27.5,27.75] | salinity aou oxygen silicate phosphate | 4.217394 | 4.383141 | 4.343233 | 12.943768 |
| Atlantic | (27.5,27.75] | temperature aou oxygen silicate phosphate | 4.190870 | 4.416432 | 4.359590 | 12.966892 |
| Atlantic | (27.5,27.75] | temperature aou silicate phosphate | 4.203461 | 4.424183 | 4.358381 | 12.986025 |
| Atlantic | (27.5,27.75] | temperature oxygen silicate phosphate | 4.192710 | 4.437685 | 4.356988 | 12.987383 |
| Atlantic | (27.5,27.75] | aou oxygen silicate phosphate | 4.225288 | 4.418562 | 4.361887 | 13.005737 |
| Atlantic | (27.75,27.85] | salinity aou oxygen silicate phosphate | 4.168058 | 4.353189 | 6.053166 | 14.574414 |
| Atlantic | (27.75,27.85] | salinity temperature oxygen silicate phosphate | 4.165381 | 4.355295 | 6.065030 | 14.585705 |
| Atlantic | (27.75,27.85] | salinity oxygen silicate phosphate phosphate_star | 4.161696 | 4.351171 | 6.074471 | 14.587338 |
| Atlantic | (27.75,27.85] | salinity temperature aou silicate phosphate | 4.169532 | 4.358867 | 6.066866 | 14.595265 |
| Atlantic | (27.75,27.85] | salinity oxygen silicate phosphate | 4.175760 | 4.355209 | 6.066925 | 14.597894 |
| Atlantic | (27.75,27.85] | salinity aou silicate phosphate phosphate_star | 4.154027 | 4.369592 | 6.083707 | 14.607327 |
| Atlantic | (27.75,27.85] | temperature aou oxygen silicate phosphate | 4.234760 | 4.360738 | 6.019074 | 14.614572 |
| Atlantic | (27.75,27.85] | salinity aou silicate phosphate | 4.169620 | 4.372567 | 6.075928 | 14.618115 |
| Atlantic | (27.75,27.85] | temperature oxygen silicate phosphate phosphate_star | 4.226789 | 4.390927 | 6.070519 | 14.688235 |
| Atlantic | (27.75,27.85] | temperature oxygen silicate phosphate | 4.239318 | 4.392435 | 6.063037 | 14.694791 |
| Atlantic | (27.85,27.95] | salinity aou oxygen silicate phosphate | 3.732923 | 4.177309 | 4.860175 | 12.770407 |
| Atlantic | (27.85,27.95] | salinity temperature oxygen silicate phosphate | 3.744942 | 4.192348 | 4.896203 | 12.833494 |
| Atlantic | (27.85,27.95] | salinity temperature aou silicate phosphate | 3.755635 | 4.198180 | 4.895804 | 12.849618 |
| Atlantic | (27.85,27.95] | salinity temperature silicate phosphate phosphate_star | 3.888017 | 4.294810 | 4.865756 | 13.048583 |
| Atlantic | (27.85,27.95] | salinity temperature silicate phosphate | 3.985278 | 4.294058 | 4.893764 | 13.173101 |
| Atlantic | (27.85,27.95] | salinity oxygen silicate phosphate phosphate_star | 3.776816 | 4.417345 | 5.337748 | 13.531909 |
| Atlantic | (27.85,27.95] | salinity oxygen silicate phosphate | 3.792489 | 4.446363 | 5.347920 | 13.586772 |
| Atlantic | (27.85,27.95] | salinity aou silicate phosphate phosphate_star | 3.901297 | 4.605133 | 5.397079 | 13.903510 |
| Atlantic | (27.85,27.95] | salinity aou silicate phosphate | 3.928915 | 4.620493 | 5.398662 | 13.948070 |
| Atlantic | (27.85,27.95] | temperature aou oxygen silicate phosphate | 4.220447 | 4.854776 | 5.281030 | 14.356253 |
| Atlantic | (27.95,28.05] | salinity aou oxygen silicate phosphate | 3.491509 | 4.421199 | 4.834271 | 12.746979 |
| Atlantic | (27.95,28.05] | salinity temperature oxygen silicate phosphate | 3.502652 | 4.440039 | 4.925007 | 12.867698 |
| Atlantic | (27.95,28.05] | salinity oxygen silicate phosphate phosphate_star | 3.574223 | 4.437967 | 4.889537 | 12.901727 |
| Atlantic | (27.95,28.05] | salinity temperature aou silicate phosphate | 3.511879 | 4.463824 | 4.946326 | 12.922029 |
| Atlantic | (27.95,28.05] | salinity temperature aou oxygen phosphate | 3.759362 | 4.427020 | 4.813202 | 12.999584 |
| Atlantic | (27.95,28.05] | salinity oxygen silicate phosphate | 3.573876 | 4.456456 | 5.032910 | 13.063241 |
| Atlantic | (27.95,28.05] | salinity temperature silicate phosphate phosphate_star | 3.759834 | 4.834214 | 4.876222 | 13.470270 |
| Atlantic | (27.95,28.05] | salinity aou silicate phosphate phosphate_star | 3.754669 | 4.611817 | 5.115337 | 13.481823 |
| Atlantic | (27.95,28.05] | salinity aou silicate phosphate | 3.761144 | 4.620662 | 5.203632 | 13.585438 |
| Atlantic | (27.95,28.05] | salinity temperature silicate phosphate | 3.761367 | 4.839175 | 5.001186 | 13.601729 |
| Atlantic | (28.05,28.1] | salinity temperature aou oxygen phosphate | 3.545352 | 4.433851 | 4.158947 | 12.138150 |
| Atlantic | (28.05,28.1] | temperature aou oxygen silicate phosphate | 3.649215 | 4.392830 | 4.131012 | 12.173058 |
| Atlantic | (28.05,28.1] | temperature aou oxygen phosphate phosphate_star | 3.743507 | 4.523442 | 4.200993 | 12.467942 |
| Atlantic | (28.05,28.1] | temperature aou oxygen phosphate | 3.743081 | 4.525913 | 4.240053 | 12.509047 |
| Atlantic | (28.05,28.1] | salinity temperature oxygen silicate phosphate | 3.536949 | 4.636055 | 4.430167 | 12.603171 |
| Atlantic | (28.05,28.1] | salinity temperature oxygen phosphate phosphate_star | 3.560188 | 4.690514 | 4.370928 | 12.621630 |
| Atlantic | (28.05,28.1] | salinity oxygen silicate phosphate phosphate_star | 3.554289 | 4.637502 | 4.462456 | 12.654247 |
| Atlantic | (28.05,28.1] | salinity temperature oxygen phosphate | 3.561977 | 4.693855 | 4.428587 | 12.684419 |
| Atlantic | (28.05,28.1] | salinity aou oxygen silicate phosphate | 3.559984 | 4.641394 | 4.544670 | 12.746048 |
| Atlantic | (28.05,28.1] | salinity oxygen silicate phosphate | 3.560364 | 4.653964 | 4.546951 | 12.761279 |
| Atlantic | (28.1,28.15] | salinity temperature oxygen silicate phosphate | 3.356432 | 4.015828 | 4.280343 | 11.652603 |
| Atlantic | (28.1,28.15] | salinity temperature aou oxygen phosphate | 3.447729 | 4.014031 | 4.237500 | 11.699260 |
| Atlantic | (28.1,28.15] | temperature aou oxygen silicate phosphate | 3.444103 | 4.031144 | 4.241949 | 11.717195 |
| Atlantic | (28.1,28.15] | temperature oxygen silicate phosphate phosphate_star | 3.437575 | 4.046317 | 4.269423 | 11.753315 |
| Atlantic | (28.1,28.15] | salinity temperature oxygen phosphate phosphate_star | 3.456089 | 4.027679 | 4.269927 | 11.753694 |
| Atlantic | (28.1,28.15] | salinity temperature oxygen phosphate | 3.455636 | 4.026808 | 4.276537 | 11.758980 |
| Atlantic | (28.1,28.15] | temperature oxygen silicate phosphate | 3.443160 | 4.045470 | 4.277023 | 11.765652 |
| Atlantic | (28.1,28.15] | salinity temperature aou silicate phosphate | 3.398068 | 4.082989 | 4.345586 | 11.826644 |
| Atlantic | (28.1,28.15] | temperature aou oxygen phosphate phosphate_star | 3.549823 | 4.050865 | 4.237309 | 11.837997 |
| Atlantic | (28.1,28.15] | temperature aou oxygen phosphate | 3.548580 | 4.051012 | 4.241648 | 11.841240 |
| Atlantic | (28.15,28.2] | salinity temperature aou oxygen phosphate | 3.748410 | 3.693581 | 2.869059 | 10.311050 |
| Atlantic | (28.15,28.2] | salinity temperature aou silicate phosphate | 3.769170 | 3.711344 | 2.867968 | 10.348482 |
| Atlantic | (28.15,28.2] | salinity temperature aou phosphate phosphate_star | 3.756555 | 3.722669 | 2.869992 | 10.349216 |
| Atlantic | (28.15,28.2] | salinity temperature aou phosphate | 3.764604 | 3.721539 | 2.865151 | 10.351295 |
| Atlantic | (28.15,28.2] | salinity aou oxygen silicate phosphate | 3.743118 | 3.700224 | 2.947865 | 10.391206 |
| Atlantic | (28.15,28.2] | salinity temperature oxygen silicate phosphate | 3.804879 | 3.747416 | 2.869334 | 10.421630 |
| Atlantic | (28.15,28.2] | salinity aou oxygen phosphate phosphate_star | 3.734710 | 3.700811 | 2.989692 | 10.425213 |
| Atlantic | (28.15,28.2] | salinity aou oxygen phosphate | 3.743542 | 3.698807 | 2.984987 | 10.427336 |
| Atlantic | (28.15,28.2] | salinity temperature oxygen phosphate | 3.809201 | 3.767791 | 2.864056 | 10.441049 |
| Atlantic | (28.15,28.2] | salinity temperature oxygen phosphate phosphate_star | 3.806740 | 3.768063 | 2.868148 | 10.442951 |
| Atlantic | (28.2, Inf] | salinity temperature aou oxygen phosphate | 3.352629 | 3.148306 | 2.699303 | 9.200238 |
| Atlantic | (28.2, Inf] | salinity aou oxygen silicate phosphate | 3.373039 | 3.149671 | 2.782183 | 9.304892 |
| Atlantic | (28.2, Inf] | salinity temperature aou silicate phosphate | 3.440574 | 3.153620 | 2.710786 | 9.304980 |
| Atlantic | (28.2, Inf] | salinity aou oxygen phosphate phosphate_star | 3.391320 | 3.145670 | 2.778563 | 9.315553 |
| Atlantic | (28.2, Inf] | salinity aou oxygen phosphate | 3.390428 | 3.148922 | 2.779740 | 9.319090 |
| Atlantic | (28.2, Inf] | salinity temperature aou phosphate phosphate_star | 3.486242 | 3.148366 | 2.707038 | 9.341645 |
| Atlantic | (28.2, Inf] | salinity temperature aou phosphate | 3.485391 | 3.153036 | 2.712623 | 9.351050 |
| Atlantic | (28.2, Inf] | salinity temperature oxygen silicate phosphate | 3.517692 | 3.148889 | 2.690216 | 9.356797 |
| Atlantic | (28.2, Inf] | temperature aou oxygen silicate phosphate | 3.376309 | 3.283318 | 2.750970 | 9.410597 |
| Atlantic | (28.2, Inf] | temperature aou oxygen phosphate phosphate_star | 3.398888 | 3.288530 | 2.765985 | 9.453403 |
| Indo-Pacific | (-Inf,26] | salinity aou oxygen phosphate phosphate_star | 11.679808 | 6.878602 | 4.752588 | 23.310998 |
| Indo-Pacific | (-Inf,26] | salinity temperature aou phosphate phosphate_star | 11.752734 | 6.855660 | 4.973656 | 23.582050 |
| Indo-Pacific | (-Inf,26] | salinity temperature oxygen phosphate phosphate_star | 11.798821 | 6.889825 | 5.120278 | 23.808924 |
| Indo-Pacific | (-Inf,26] | salinity aou oxygen silicate phosphate | 11.618898 | 7.152857 | 5.651239 | 24.422994 |
| Indo-Pacific | (-Inf,26] | salinity temperature aou silicate phosphate | 11.689896 | 7.227921 | 5.855383 | 24.773201 |
| Indo-Pacific | (-Inf,26] | salinity temperature aou oxygen phosphate_star | 12.561723 | 7.054391 | 5.311407 | 24.927521 |
| Indo-Pacific | (-Inf,26] | salinity temperature oxygen silicate phosphate | 11.728485 | 7.276577 | 5.956206 | 24.961268 |
| Indo-Pacific | (-Inf,26] | salinity temperature oxygen silicate phosphate_star | 12.593593 | 7.061270 | 5.325542 | 24.980405 |
| Indo-Pacific | (-Inf,26] | salinity temperature aou silicate phosphate_star | 12.622435 | 7.099325 | 5.276542 | 24.998302 |
| Indo-Pacific | (-Inf,26] | salinity temperature oxygen phosphate_star | 12.598682 | 7.060238 | 5.387041 | 25.045961 |
| Indo-Pacific | (26,26.5] | salinity temperature aou phosphate phosphate_star | 7.902856 | 5.135704 | 3.999979 | 17.038540 |
| Indo-Pacific | (26,26.5] | salinity aou oxygen phosphate phosphate_star | 7.843708 | 5.238508 | 3.958904 | 17.041120 |
| Indo-Pacific | (26,26.5] | salinity aou oxygen silicate phosphate | 7.881970 | 5.222068 | 3.944595 | 17.048633 |
| Indo-Pacific | (26,26.5] | salinity temperature oxygen phosphate phosphate_star | 7.944019 | 5.128035 | 4.032629 | 17.104682 |
| Indo-Pacific | (26,26.5] | salinity temperature aou silicate phosphate | 7.954072 | 5.177186 | 4.022052 | 17.153309 |
| Indo-Pacific | (26,26.5] | salinity temperature oxygen silicate phosphate | 7.991307 | 5.185264 | 4.061772 | 17.238343 |
| Indo-Pacific | (26,26.5] | salinity temperature aou oxygen phosphate | 7.988096 | 5.317348 | 4.257663 | 17.563107 |
| Indo-Pacific | (26,26.5] | salinity temperature aou phosphate | 8.036145 | 5.329061 | 4.298276 | 17.663482 |
| Indo-Pacific | (26,26.5] | salinity aou oxygen phosphate | 7.985356 | 5.419577 | 4.261810 | 17.666743 |
| Indo-Pacific | (26,26.5] | salinity temperature oxygen phosphate | 8.066654 | 5.317791 | 4.318958 | 17.703403 |
| Indo-Pacific | (26.5,26.75] | salinity aou oxygen phosphate phosphate_star | 5.655385 | 5.447647 | 4.212061 | 15.315092 |
| Indo-Pacific | (26.5,26.75] | salinity temperature aou phosphate phosphate_star | 5.757033 | 5.487665 | 4.295824 | 15.540522 |
| Indo-Pacific | (26.5,26.75] | salinity temperature oxygen phosphate phosphate_star | 5.822489 | 5.528282 | 4.358296 | 15.709068 |
| Indo-Pacific | (26.5,26.75] | salinity aou oxygen silicate phosphate | 5.918262 | 5.708633 | 4.573728 | 16.200623 |
| Indo-Pacific | (26.5,26.75] | salinity temperature aou oxygen phosphate | 5.999784 | 5.715331 | 4.631003 | 16.346119 |
| Indo-Pacific | (26.5,26.75] | salinity aou oxygen phosphate | 5.999648 | 5.714319 | 4.645399 | 16.359366 |
| Indo-Pacific | (26.5,26.75] | salinity temperature aou silicate phosphate | 6.061567 | 5.725621 | 4.672385 | 16.459573 |
| Indo-Pacific | (26.5,26.75] | aou oxygen silicate phosphate phosphate_star | 6.151174 | 5.859143 | 4.461169 | 16.471486 |
| Indo-Pacific | (26.5,26.75] | salinity temperature aou phosphate | 6.085950 | 5.751212 | 4.726262 | 16.563424 |
| Indo-Pacific | (26.5,26.75] | temperature aou oxygen phosphate phosphate_star | 6.128002 | 5.856886 | 4.584253 | 16.569141 |
| Indo-Pacific | (26.75,27] | temperature aou oxygen phosphate phosphate_star | 6.520099 | 4.911494 | 4.035967 | 15.467561 |
| Indo-Pacific | (26.75,27] | salinity aou oxygen phosphate phosphate_star | 6.570269 | 4.960798 | 4.051595 | 15.582662 |
| Indo-Pacific | (26.75,27] | aou oxygen silicate phosphate phosphate_star | 6.527727 | 4.962537 | 4.160584 | 15.650849 |
| Indo-Pacific | (26.75,27] | temperature aou oxygen silicate phosphate | 6.533602 | 4.986911 | 4.227738 | 15.748251 |
| Indo-Pacific | (26.75,27] | aou oxygen phosphate phosphate_star | 6.605000 | 5.009974 | 4.159642 | 15.774616 |
| Indo-Pacific | (26.75,27] | salinity temperature aou oxygen phosphate | 6.557687 | 5.023923 | 4.255122 | 15.836732 |
| Indo-Pacific | (26.75,27] | temperature aou oxygen phosphate | 6.559604 | 5.023885 | 4.267899 | 15.851387 |
| Indo-Pacific | (26.75,27] | temperature aou silicate phosphate phosphate_star | 6.560470 | 5.029899 | 4.295971 | 15.886339 |
| Indo-Pacific | (26.75,27] | temperature oxygen silicate phosphate phosphate_star | 6.597774 | 5.095217 | 4.390161 | 16.083151 |
| Indo-Pacific | (26.75,27] | salinity temperature aou phosphate phosphate_star | 6.685734 | 5.139998 | 4.258430 | 16.084162 |
| Indo-Pacific | (27,27.25] | temperature aou oxygen silicate phosphate | 6.065616 | 4.535328 | 4.052257 | 14.653201 |
| Indo-Pacific | (27,27.25] | salinity temperature aou oxygen phosphate | 6.091714 | 4.609945 | 4.170312 | 14.871971 |
| Indo-Pacific | (27,27.25] | temperature aou oxygen phosphate phosphate_star | 6.121036 | 4.650595 | 4.167652 | 14.939284 |
| Indo-Pacific | (27,27.25] | salinity aou oxygen silicate phosphate | 6.439912 | 4.543484 | 4.111556 | 15.094952 |
| Indo-Pacific | (27,27.25] | temperature aou oxygen phosphate | 6.122177 | 4.749343 | 4.308191 | 15.179711 |
| Indo-Pacific | (27,27.25] | salinity aou silicate phosphate phosphate_star | 6.517835 | 4.547063 | 4.125890 | 15.190788 |
| Indo-Pacific | (27,27.25] | salinity temperature aou silicate phosphate | 6.570996 | 4.550858 | 4.123600 | 15.245454 |
| Indo-Pacific | (27,27.25] | salinity aou silicate phosphate | 6.583865 | 4.550790 | 4.129562 | 15.264217 |
| Indo-Pacific | (27,27.25] | salinity aou oxygen phosphate phosphate_star | 6.439483 | 4.711625 | 4.178804 | 15.329912 |
| Indo-Pacific | (27,27.25] | salinity temperature oxygen silicate phosphate | 6.685272 | 4.586264 | 4.150925 | 15.422461 |
| Indo-Pacific | (27.25,27.5] | temperature aou oxygen silicate phosphate | 4.841218 | 3.916010 | 3.530880 | 12.288107 |
| Indo-Pacific | (27.25,27.5] | salinity aou oxygen silicate phosphate | 5.257220 | 3.926327 | 3.245921 | 12.429469 |
| Indo-Pacific | (27.25,27.5] | temperature aou oxygen phosphate phosphate_star | 4.868344 | 4.086460 | 3.650709 | 12.605514 |
| Indo-Pacific | (27.25,27.5] | salinity temperature aou oxygen phosphate | 4.867472 | 4.133336 | 3.630354 | 12.631162 |
| Indo-Pacific | (27.25,27.5] | salinity temperature aou silicate phosphate | 5.584223 | 3.947857 | 3.249995 | 12.782075 |
| Indo-Pacific | (27.25,27.5] | temperature aou oxygen phosphate | 4.870920 | 4.179279 | 3.731984 | 12.782184 |
| Indo-Pacific | (27.25,27.5] | salinity aou oxygen phosphate phosphate_star | 5.207749 | 4.191345 | 3.567629 | 12.966722 |
| Indo-Pacific | (27.25,27.5] | salinity temperature oxygen silicate phosphate | 5.808036 | 3.977963 | 3.256766 | 13.042765 |
| Indo-Pacific | (27.25,27.5] | aou oxygen silicate phosphate phosphate_star | 5.236794 | 4.181692 | 3.682324 | 13.100811 |
| Indo-Pacific | (27.25,27.5] | salinity aou silicate phosphate phosphate_star | 5.932029 | 3.954509 | 3.242725 | 13.129264 |
| Indo-Pacific | (27.5,27.75] | salinity aou oxygen silicate phosphate | 4.693275 | 3.619777 | 2.970406 | 11.283458 |
| Indo-Pacific | (27.5,27.75] | salinity temperature aou silicate phosphate | 4.862598 | 3.617869 | 2.968836 | 11.449303 |
| Indo-Pacific | (27.5,27.75] | temperature aou oxygen silicate phosphate | 4.418208 | 3.843072 | 3.293463 | 11.554743 |
| Indo-Pacific | (27.5,27.75] | salinity temperature oxygen silicate phosphate | 4.991071 | 3.620774 | 2.968221 | 11.580066 |
| Indo-Pacific | (27.5,27.75] | salinity temperature aou oxygen phosphate | 4.441116 | 3.850782 | 3.373574 | 11.665472 |
| Indo-Pacific | (27.5,27.75] | temperature aou oxygen phosphate phosphate_star | 4.440141 | 3.913280 | 3.407639 | 11.761060 |
| Indo-Pacific | (27.5,27.75] | temperature aou oxygen phosphate | 4.440675 | 3.917782 | 3.432064 | 11.790521 |
| Indo-Pacific | (27.5,27.75] | salinity aou oxygen phosphate phosphate_star | 4.694050 | 3.837486 | 3.337105 | 11.868640 |
| Indo-Pacific | (27.5,27.75] | salinity aou oxygen phosphate | 4.693475 | 3.853069 | 3.374671 | 11.921214 |
| Indo-Pacific | (27.5,27.75] | aou oxygen silicate phosphate phosphate_star | 4.698962 | 3.841924 | 3.411853 | 11.952738 |
| Indo-Pacific | (27.75,27.85] | temperature aou oxygen silicate phosphate | 4.278143 | 3.244478 | 2.908123 | 10.430744 |
| Indo-Pacific | (27.75,27.85] | salinity temperature oxygen silicate phosphate | 4.317601 | 3.261432 | 2.869333 | 10.448366 |
| Indo-Pacific | (27.75,27.85] | salinity temperature aou silicate phosphate | 4.294410 | 3.284752 | 2.880603 | 10.459765 |
| Indo-Pacific | (27.75,27.85] | salinity aou oxygen silicate phosphate | 4.270839 | 3.323292 | 2.901283 | 10.495415 |
| Indo-Pacific | (27.75,27.85] | temperature aou silicate phosphate phosphate_star | 4.309318 | 3.274149 | 2.923397 | 10.506865 |
| Indo-Pacific | (27.75,27.85] | temperature oxygen silicate phosphate phosphate_star | 4.335599 | 3.257267 | 2.915604 | 10.508470 |
| Indo-Pacific | (27.75,27.85] | temperature oxygen silicate phosphate | 4.335195 | 3.273812 | 2.920241 | 10.529248 |
| Indo-Pacific | (27.75,27.85] | aou oxygen silicate phosphate phosphate_star | 4.280847 | 3.307929 | 2.942966 | 10.531741 |
| Indo-Pacific | (27.75,27.85] | temperature aou silicate phosphate | 4.309718 | 3.295848 | 2.928408 | 10.533974 |
| Indo-Pacific | (27.75,27.85] | aou oxygen silicate phosphate | 4.283486 | 3.341136 | 2.949406 | 10.574027 |
| Indo-Pacific | (27.85,27.95] | temperature aou silicate phosphate phosphate_star | 4.309933 | 2.966634 | 2.892318 | 10.168885 |
| Indo-Pacific | (27.85,27.95] | aou oxygen silicate phosphate phosphate_star | 4.295068 | 2.969242 | 2.906313 | 10.170623 |
| Indo-Pacific | (27.85,27.95] | salinity temperature aou silicate phosphate | 4.327341 | 2.981912 | 2.881707 | 10.190959 |
| Indo-Pacific | (27.85,27.95] | temperature oxygen silicate phosphate phosphate_star | 4.329210 | 2.973958 | 2.889385 | 10.192553 |
| Indo-Pacific | (27.85,27.95] | salinity aou oxygen silicate phosphate | 4.314291 | 2.988913 | 2.899495 | 10.202700 |
| Indo-Pacific | (27.85,27.95] | temperature aou oxygen silicate phosphate | 4.321050 | 2.984927 | 2.899397 | 10.205374 |
| Indo-Pacific | (27.85,27.95] | salinity temperature oxygen silicate phosphate | 4.346842 | 2.986146 | 2.873721 | 10.206708 |
| Indo-Pacific | (27.85,27.95] | temperature aou silicate phosphate | 4.331510 | 2.984930 | 2.901647 | 10.218087 |
| Indo-Pacific | (27.85,27.95] | aou oxygen silicate phosphate | 4.320048 | 2.990887 | 2.916180 | 10.227115 |
| Indo-Pacific | (27.85,27.95] | temperature oxygen silicate phosphate | 4.349862 | 2.991024 | 2.898898 | 10.239784 |
| Indo-Pacific | (27.95,28.05] | salinity aou oxygen silicate phosphate | 4.384212 | 2.853432 | 3.080293 | 10.317938 |
| Indo-Pacific | (27.95,28.05] | salinity aou oxygen phosphate phosphate_star | 4.384878 | 2.879670 | 3.078285 | 10.342833 |
| Indo-Pacific | (27.95,28.05] | aou oxygen silicate phosphate phosphate_star | 4.401889 | 2.861672 | 3.081149 | 10.344710 |
| Indo-Pacific | (27.95,28.05] | salinity temperature aou silicate phosphate | 4.402695 | 2.876874 | 3.069677 | 10.349246 |
| Indo-Pacific | (27.95,28.05] | temperature aou oxygen phosphate phosphate_star | 4.402567 | 2.872553 | 3.078151 | 10.353271 |
| Indo-Pacific | (27.95,28.05] | aou oxygen phosphate phosphate_star | 4.402619 | 2.879546 | 3.081615 | 10.363779 |
| Indo-Pacific | (27.95,28.05] | salinity temperature aou oxygen phosphate | 4.385068 | 2.873275 | 3.111865 | 10.370208 |
| Indo-Pacific | (27.95,28.05] | salinity aou oxygen phosphate | 4.384682 | 2.882738 | 3.111732 | 10.379152 |
| Indo-Pacific | (27.95,28.05] | temperature aou silicate phosphate phosphate_star | 4.425899 | 2.886963 | 3.070568 | 10.383430 |
| Indo-Pacific | (27.95,28.05] | temperature aou oxygen silicate phosphate | 4.405736 | 2.869466 | 3.114205 | 10.389406 |
| Indo-Pacific | (28.05,28.1] | salinity aou oxygen phosphate phosphate_star | 4.238669 | 2.859254 | 2.802493 | 9.900416 |
| Indo-Pacific | (28.05,28.1] | salinity aou oxygen silicate phosphate | 4.235834 | 2.844283 | 2.830734 | 9.910851 |
| Indo-Pacific | (28.05,28.1] | salinity temperature aou oxygen phosphate | 4.234966 | 2.862710 | 2.821564 | 9.919240 |
| Indo-Pacific | (28.05,28.1] | salinity aou oxygen phosphate | 4.237943 | 2.865337 | 2.833072 | 9.936351 |
| Indo-Pacific | (28.05,28.1] | aou oxygen silicate phosphate phosphate_star | 4.236934 | 2.872678 | 2.828336 | 9.937948 |
| Indo-Pacific | (28.05,28.1] | temperature aou oxygen phosphate phosphate_star | 4.236481 | 2.874074 | 2.845730 | 9.956285 |
| Indo-Pacific | (28.05,28.1] | salinity temperature aou silicate phosphate | 4.276033 | 2.849368 | 2.840025 | 9.965426 |
| Indo-Pacific | (28.05,28.1] | aou oxygen phosphate phosphate_star | 4.241251 | 2.874233 | 2.852937 | 9.968421 |
| Indo-Pacific | (28.05,28.1] | temperature aou oxygen silicate phosphate | 4.236219 | 2.882845 | 2.865152 | 9.984216 |
| Indo-Pacific | (28.05,28.1] | aou oxygen silicate phosphate | 4.237200 | 2.884407 | 2.873998 | 9.995605 |
| Indo-Pacific | (28.1, Inf] | salinity aou oxygen silicate phosphate | 3.569638 | 3.091921 | 2.619994 | 9.281553 |
| Indo-Pacific | (28.1, Inf] | temperature aou oxygen silicate phosphate | 3.601736 | 3.043659 | 2.655522 | 9.300917 |
| Indo-Pacific | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 3.635094 | 2.983323 | 2.699737 | 9.318155 |
| Indo-Pacific | (28.1, Inf] | aou oxygen silicate phosphate | 3.640649 | 3.092133 | 2.708284 | 9.441066 |
| Indo-Pacific | (28.1, Inf] | salinity aou oxygen phosphate phosphate_star | 3.598957 | 3.203759 | 2.653400 | 9.456116 |
| Indo-Pacific | (28.1, Inf] | salinity temperature aou phosphate phosphate_star | 3.539298 | 3.235596 | 2.703041 | 9.477935 |
| Indo-Pacific | (28.1, Inf] | salinity temperature aou oxygen phosphate | 3.539485 | 3.315882 | 2.642918 | 9.498285 |
| Indo-Pacific | (28.1, Inf] | salinity aou oxygen phosphate | 3.598983 | 3.321210 | 2.654396 | 9.574589 |
| Indo-Pacific | (28.1, Inf] | salinity temperature aou silicate phosphate | 3.540788 | 3.349413 | 2.714054 | 9.604255 |
| Indo-Pacific | (28.1, Inf] | salinity temperature oxygen phosphate phosphate_star | 3.592795 | 3.276352 | 2.763254 | 9.632402 |
5.4.2 All predictors
MLRs <- GLODAP %>%
nest(data = -c(basin, era, gamma_slab)) %>%
mutate(
fit = map(data, ~ lm(Cstar ~ salinity + temperature + aou + oxygen + silicate + phosphate + phosphate_star,
data = .x)),
tidied = map(fit, tidy),
glanced = map(fit, glance),
augmented = map(fit, augment)
)
MLRs_tidied <- MLRs %>%
unnest(tidied)
MLRs_tidied
MLRs_tidied <- MLRs_tidied %>%
select(era, basin, gamma_slab, term, estimate, p.value)
MLRs_tidied_wide <- MLRs_tidied %>%
select(-p.value) %>%
pivot_wider(names_from = era, values_from = estimate, names_prefix = "coeff_")
MLRs_tidied_wide <- MLRs_tidied_wide %>%
mutate(delta_coeff_J_G = coeff_GO_SHIP - coeff_JGOFS_WOCE,
delta_coeff_G_n = coeff_new_era - coeff_GO_SHIP,
delta_coeff_n_G = coeff_new_era - coeff_JGOFS_WOCE)
MLRs_tidied %>%
ggplot(aes(p.value, term, col = gamma_slab)) +
geom_point() +
facet_grid(basin~era)
MLRs_tidied %>%
filter(p.value < 0.05) %>%
ggplot(aes(p.value, term, col = gamma_slab)) +
geom_point() +
facet_grid(basin~era)
MLRs_tidied %>%
ggplot(aes(p.value, term)) +
geom_boxplot() +
facet_grid(basin~era)
MLRs %>%
unnest(glanced)
MLRs %>%
unnest(augmented)
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] olsrr_0.5.3.9000 GGally_2.0.0 broom_0.7.0 patchwork_1.0.1
[5] lubridate_1.7.9 forcats_0.5.0 stringr_1.4.0 dplyr_1.0.0
[9] purrr_0.3.4 readr_1.3.1 tidyr_1.1.0 tibble_3.0.3
[13] ggplot2_3.3.2 tidyverse_1.3.0 workflowr_1.6.2
loaded via a namespace (and not attached):
[1] httr_1.4.2 maps_3.3.0 viridisLite_0.3.0 jsonlite_1.7.0
[5] here_0.1 carData_3.0-4 modelr_0.1.8 assertthat_0.2.1
[9] highr_0.8 blob_1.2.1 cellranger_1.1.0 yaml_2.2.1
[13] pillar_1.4.6 backports_1.1.8 glue_1.4.1 digest_0.6.25
[17] RColorBrewer_1.1-2 promises_1.1.1 rvest_0.3.6 colorspace_1.4-1
[21] htmltools_0.5.0 httpuv_1.5.4 plyr_1.8.6 pkgconfig_2.0.3
[25] haven_2.3.1 scales_1.1.1 whisker_0.4 openxlsx_4.1.5
[29] later_1.1.0.1 rio_0.5.16 git2r_0.27.1 farver_2.0.3
[33] generics_0.0.2 car_3.0-8 ellipsis_0.3.1 withr_2.2.0
[37] cli_2.0.2 magrittr_1.5 crayon_1.3.4 readxl_1.3.1
[41] evaluate_0.14 fs_1.4.2 fansi_0.4.1 xml2_1.3.2
[45] foreign_0.8-80 tools_4.0.2 data.table_1.13.0 hms_0.5.3
[49] lifecycle_0.2.0 munsell_0.5.0 reprex_0.3.0 zip_2.0.4
[53] compiler_4.0.2 rlang_0.4.7 grid_4.0.2 rstudioapi_0.11
[57] goftest_1.2-2 labeling_0.3 rmarkdown_2.3 gtable_0.3.0
[61] abind_1.4-5 DBI_1.1.0 reshape_0.8.8 curl_4.3
[65] R6_2.4.1 gridExtra_2.3 knitr_1.29 nortest_1.0-4
[69] rprojroot_1.3-2 stringi_1.4.6 Rcpp_1.0.5 vctrs_0.3.2
[73] dbplyr_1.4.4 tidyselect_1.1.0 xfun_0.16