eMLR - model fitting
Jens Daniel Müller
07 December, 2020
Last updated: 2020-12-07
Checks: 7 0
Knit directory: emlr_obs_v_XXX/
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1 Required data
Required are:
- cleaned and prepared GLODAPv2_2020 file
GLODAP <-
read_csv(paste(path_version_data,
"GLODAPv2.2020_MLR_fitting_ready.csv",
sep = ""))2 Fitting all models
2.1 RMSE calculation
Individual linear regression models were fitted for C* as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. The root mean squared error (RMSE) was calculated for each fitted model.
# loops across all basins and eras
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 )
# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
filter(basin == i_basin, era == i_era)
# loop across all gamma slabs in the current basin and 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)
# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
filter(gamma_slab == i_gamma_slab)
# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(
params_local$MLR_full_model,
data = GLODAP_basin_era_slab)
# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)
# extract diagnostics of each linear model
lm_all <- as_tibble(lm_all$result)
# add currect basin, era, and gamma values
lm_all <- lm_all %>%
mutate(basin = i_basin,
era = i_era,
gamma_slab = i_gamma_slab)
# expanding table with model diagnostics for all eras, basins, slabs
if (exists("lm_all_stats")) {
lm_all_stats <- bind_rows(lm_all_stats, lm_all)
}
if (!exists("lm_all_stats")) {
lm_all_stats <- lm_all
}
rm(lm_full, lm_all)
}
}
}
# write model diagnostics to file
lm_all_stats %>% write_csv(paste(path_version_data,
"lm_all_stats.csv",
sep = ""))
rm(i_gamma_slab, i_era, i_basin,
GLODAP_basin_era, GLODAP_basin_era_slab)RMSE was plotted against the number of predictors (limited to 2 - 5).
# lm_all_stats <- read_csv(paste(path_version_data,
# "lm_all_stats.csv",
# sep = ""))
lm_all_stats <- lm_all_stats %>%
filter(n >= params_local$predictors_min,
n <= params_local$predictors_max)
lm_all_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")
2.2 RMSE alternatives
AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.
lm_all_stats %>%
ggplot(aes(rmse, aic, col = gamma_slab)) +
geom_point() +
scale_color_viridis_d() +
facet_grid(era~basin)
2.3 Predictor selection
Within each basin and slab, the 10 linear regression models with lowest summed RMSE across two adjacent (ie compared) eras were selected.
# select relevant columns
lm_all_stats <- lm_all_stats %>%
select(basin, era, gamma_slab, predictors, rmse)
# calculate RMSE sum for adjacent eras
lm_all_stats_eras <- lm_all_stats %>%
arrange(era) %>%
group_by(basin, gamma_slab, predictors) %>%
mutate(rmse_sum = rmse + lag(rmse),
eras = paste(lag(era), era, sep = " --> ")) %>%
ungroup() %>%
arrange(basin, gamma_slab, predictors, era) %>%
drop_na()
# subset models with lowest RMSE sum
lm_best <- lm_all_stats_eras %>%
group_by(basin, gamma_slab, eras) %>%
slice_min(order_by = rmse_sum,
with_ties = FALSE,
n = params_local$MLR_number) %>%
ungroup() %>%
arrange(basin, gamma_slab, eras, predictors, era)
# plot table for website
kable(lm_best) %>%
add_header_above() %>%
kable_styling() %>%
scroll_box(width = "100%", height = "400px")| basin | era | gamma_slab | predictors | rmse | rmse_sum | eras |
|---|---|---|---|---|---|---|
| Atlantic | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate | 4.271067 | 9.879739 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 4.271067 | 9.879739 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 4.271067 | 9.879739 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate | 4.217719 | 9.758749 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate_star | 4.217719 | 9.758749 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou phosphate phosphate_star | 4.217719 | 9.758749 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 4.398400 | 9.965413 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 4.413757 | 9.970972 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 4.429068 | 9.971865 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 4.429068 | 9.971865 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 2.601590 | 6.872657 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 2.601590 | 6.872657 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 2.601590 | 6.872657 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 2.545399 | 6.763118 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate_star | 2.545399 | 6.763118 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou phosphate phosphate_star | 2.545399 | 6.763118 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 2.579592 | 6.977992 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 2.576792 | 6.990549 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate | 2.577461 | 7.006529 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 2.577461 | 7.006529 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 4.850056 | 9.323614 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate_star | 4.850056 | 9.323614 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou phosphate phosphate_star | 4.850056 | 9.323614 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate | 4.853911 | 9.329619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate phosphate_star | 4.853911 | 9.329619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate_star | 4.853911 | 9.329619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate | 4.836351 | 9.289752 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate_star | 4.836351 | 9.289752 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou phosphate phosphate_star | 4.853911 | 9.329619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou silicate phosphate phosphate_star | 4.836351 | 9.289752 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate | 2.911907 | 7.761963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate_star | 2.911907 | 7.761963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou phosphate phosphate_star | 2.911907 | 7.761963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate | 2.939404 | 7.793315 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate phosphate_star | 2.939404 | 7.793315 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate_star | 2.939404 | 7.793315 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen silicate phosphate | 2.922912 | 7.759263 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen silicate phosphate_star | 2.922912 | 7.759263 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou phosphate phosphate_star | 2.939404 | 7.793315 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou silicate phosphate phosphate_star | 2.922912 | 7.759263 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 4.115457 | 7.921380 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 4.115457 | 7.921380 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 4.115457 | 7.921380 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou silicate phosphate_star | 4.066036 | 7.975696 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem oxygen silicate phosphate | 4.061722 | 7.962611 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem oxygen silicate phosphate_star | 4.061722 | 7.962611 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem silicate phosphate phosphate_star | 4.061722 | 7.962611 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate | 4.088973 | 7.939815 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 4.088973 | 7.939815 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 4.088973 | 7.939815 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 3.039395 | 7.154853 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 3.039395 | 7.154853 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou silicate phosphate | 3.019442 | 7.111482 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou silicate phosphate_star | 3.015009 | 7.081045 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem oxygen silicate phosphate | 3.014879 | 7.076601 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem oxygen silicate phosphate_star | 3.014879 | 7.076601 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem silicate phosphate phosphate_star | 3.014879 | 7.076601 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate | 3.047185 | 7.136158 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 3.047185 | 7.136158 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 3.047185 | 7.136158 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 4.358576 | 8.663835 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.358576 | 8.663835 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.358576 | 8.663835 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou phosphate_star | 4.363722 | 8.670323 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou silicate phosphate | 4.337895 | 8.615730 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou silicate phosphate_star | 4.315841 | 8.586480 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen phosphate | 4.364125 | 8.671345 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate | 4.315572 | 8.586801 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate_star | 4.315572 | 8.586801 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem silicate phosphate phosphate_star | 4.315572 | 8.586801 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou silicate phosphate | 3.811618 | 8.149513 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou silicate phosphate_star | 3.810161 | 8.126001 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate | 3.810290 | 8.125862 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate_star | 3.810290 | 8.125862 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem silicate phosphate phosphate_star | 3.810290 | 8.125862 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 3.816367 | 8.169585 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 3.816367 | 8.169585 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 3.816367 | 8.169585 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou silicate phosphate_star | 3.816396 | 8.171262 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem silicate phosphate phosphate_star | 3.816462 | 8.171295 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou silicate phosphate_star | 4.711554 | 9.451243 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate | 4.715123 | 9.453256 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate_star | 4.715123 | 9.453256 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem silicate phosphate phosphate_star | 4.715123 | 9.453256 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 4.709559 | 9.512388 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.709559 | 9.512388 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.709559 | 9.512388 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou silicate phosphate_star | 4.728883 | 9.535056 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem oxygen silicate phosphate_star | 4.732097 | 9.537951 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem silicate phosphate phosphate_star | 4.732097 | 9.537951 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate | 4.978692 | 9.888996 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.978692 | 9.888996 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 5.013743 | 9.783241 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate_star | 5.044265 | 9.755819 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate | 5.045773 | 9.760896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate_star | 5.045773 | 9.760896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem silicate phosphate phosphate_star | 5.045773 | 9.760896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 4.979354 | 9.688913 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.979354 | 9.688913 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.979354 | 9.688913 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.187286 | 8.551222 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.187286 | 8.551222 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.187286 | 8.551222 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou phosphate_star | 4.187769 | 8.565839 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou silicate phosphate_star | 4.186671 | 8.564730 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate | 4.190780 | 8.572417 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate phosphate_star | 4.190780 | 8.572417 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate | 4.189972 | 8.571600 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 4.189972 | 8.571600 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 4.189972 | 8.571600 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou oxygen phosphate | 3.687765 | 7.875051 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 3.687765 | 7.875051 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 3.687765 | 7.875051 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen phosphate | 3.688437 | 7.967361 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen phosphate phosphate_star | 3.688437 | 7.967361 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen phosphate_star | 3.688437 | 7.967361 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate | 3.535666 | 7.784411 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.535666 | 7.784411 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou phosphate phosphate_star | 3.688437 | 7.967361 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 3.535666 | 7.784411 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate | 4.204972 | 8.197205 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 4.204972 | 8.197205 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 4.204972 | 8.197205 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem aou silicate phosphate | 4.200718 | 8.182996 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem aou silicate phosphate_star | 4.213892 | 8.184612 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate | 4.202962 | 8.176124 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 4.202962 | 8.176124 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 4.202962 | 8.176124 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate | 4.215101 | 8.201955 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.215101 | 8.201955 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 5.040137 | 9.245109 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 5.040137 | 9.245109 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 5.040137 | 9.245109 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 5.041557 | 9.242275 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 5.044556 | 9.247518 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 5.044556 | 9.247518 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 5.044556 | 9.247518 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate | 5.045690 | 9.260791 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 5.045690 | 9.260791 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 5.045690 | 9.260791 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate | 4.406461 | 8.546008 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 4.406461 | 8.546008 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 4.406461 | 8.546008 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal oxygen silicate phosphate_star | 4.407535 | 8.559011 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal silicate phosphate phosphate_star | 4.407535 | 8.559011 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate | 4.409644 | 8.551108 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate_star | 4.404157 | 8.537341 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate | 4.407069 | 8.543444 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 4.407069 | 8.543444 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 4.407069 | 8.543444 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate | 8.025077 | 12.431538 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 8.025077 | 12.431538 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 8.025077 | 12.431538 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal oxygen silicate phosphate | 8.026422 | 12.433956 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal oxygen silicate phosphate phosphate_star | 8.026422 | 12.433956 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal silicate phosphate phosphate_star | 8.026422 | 12.433956 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 8.027089 | 12.431246 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 8.024752 | 12.431821 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 8.024752 | 12.431821 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 8.024752 | 12.431821 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 4.216956 | 7.870626 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 4.216956 | 7.870626 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 4.216956 | 7.870626 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate_star | 4.256272 | 7.910569 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal oxygen silicate phosphate_star | 4.441588 | 8.136394 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate | 4.222168 | 7.891117 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate_star | 4.217009 | 7.871240 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate | 4.220332 | 7.882217 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 4.220332 | 7.882217 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 4.220332 | 7.882217 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate | 5.402562 | 9.619517 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 5.402562 | 9.619517 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 5.402562 | 9.619517 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate_star | 5.466353 | 9.722625 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 5.447062 | 9.669230 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 5.419289 | 9.636297 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 5.445403 | 9.665736 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 5.445403 | 9.665736 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate | 5.451134 | 9.805201 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 5.445403 | 9.665736 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 4.227222 | 7.672317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 4.227222 | 7.672317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 4.227222 | 7.672317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate_star | 4.228441 | 7.676064 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal oxygen silicate phosphate | 4.295952 | 7.807431 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate | 4.264191 | 7.725271 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate_star | 4.228437 | 7.674545 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate | 4.247459 | 7.700669 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 4.247459 | 7.700669 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 4.247459 | 7.700669 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 5.437203 | 9.664425 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 5.437203 | 9.664425 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 5.437203 | 9.664425 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate_star | 5.459387 | 9.687828 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate | 4.765027 | 9.129128 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 4.765027 | 9.129128 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 4.765027 | 9.129128 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate_star | 5.458844 | 9.687281 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate | 5.523390 | 9.770850 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 5.523390 | 9.770850 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 4.245193 | 7.788989 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 4.245193 | 7.788989 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 4.245193 | 7.788989 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou silicate phosphate_star | 4.339420 | 7.898147 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem oxygen silicate phosphate | 4.385587 | 7.945423 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem oxygen silicate phosphate_star | 4.385587 | 7.945423 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem silicate phosphate phosphate_star | 4.385587 | 7.945423 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate | 4.215861 | 7.888292 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 4.215861 | 7.888292 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 4.215861 | 7.888292 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 4.696419 | 8.941612 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 4.696419 | 8.941612 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 4.696419 | 8.941612 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate | 4.707120 | 9.086297 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate phosphate_star | 4.707120 | 9.086297 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate_star | 4.707120 | 9.086297 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate | 4.701953 | 8.917814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 4.701953 | 8.917814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou phosphate phosphate_star | 4.707120 | 9.086297 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 4.701953 | 8.917814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate | 3.829530 | 7.342166 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 3.829530 | 7.342166 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 3.829530 | 7.342166 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate_star | 3.832629 | 7.349621 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou silicate phosphate | 3.869045 | 7.346988 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou silicate phosphate_star | 3.814204 | 7.241131 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate | 3.816463 | 7.248458 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate_star | 3.816463 | 7.248458 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate phosphate_star | 3.816463 | 7.248458 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate_star | 3.828126 | 7.302526 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate | 4.714823 | 8.544352 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 4.714823 | 8.544352 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 4.714823 | 8.544352 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou phosphate_star | 4.761141 | 8.593770 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou silicate phosphate_star | 4.741493 | 8.555697 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem oxygen phosphate_star | 4.764725 | 8.597326 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem oxygen silicate phosphate | 4.738981 | 8.555444 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem oxygen silicate phosphate_star | 4.738981 | 8.555444 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem silicate phosphate phosphate_star | 4.738981 | 8.555444 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem silicate phosphate_star | 4.744328 | 8.572455 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen phosphate | 3.564274 | 7.342997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen phosphate phosphate_star | 3.564274 | 7.342997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen phosphate_star | 3.564274 | 7.342997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate | 3.559024 | 7.331242 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 3.559024 | 7.331242 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou phosphate phosphate_star | 3.564274 | 7.342997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou silicate phosphate phosphate_star | 3.559024 | 7.331242 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate | 3.561882 | 7.339120 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 3.561882 | 7.339120 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 3.561882 | 7.339120 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate | 3.049091 | 6.608116 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 3.049091 | 6.608116 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou silicate phosphate phosphate_star | 3.049091 | 6.608116 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate | 3.028855 | 6.590738 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 3.028855 | 6.590738 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate | 3.029769 | 6.619544 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 3.028855 | 6.590738 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou silicate phosphate | 3.011988 | 6.580270 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem oxygen silicate phosphate_star | 3.017763 | 6.622203 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem silicate phosphate phosphate_star | 3.017763 | 6.622203 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate | 2.913330 | 6.118997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate phosphate_star | 2.913330 | 6.118997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate_star | 2.913330 | 6.118997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate | 2.909698 | 6.112417 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 2.909698 | 6.112417 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou phosphate phosphate_star | 2.913330 | 6.118997 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 2.909698 | 6.112417 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate | 2.907245 | 6.104757 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate_star | 2.907245 | 6.104757 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou phosphate phosphate_star | 2.907245 | 6.104757 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen phosphate | 3.042486 | 5.955815 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen phosphate phosphate_star | 3.042486 | 5.955815 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen phosphate_star | 3.042486 | 5.955815 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate | 3.029731 | 5.939429 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 3.029731 | 5.939429 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou phosphate phosphate_star | 3.042486 | 5.955815 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 3.029731 | 5.939429 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem aou oxygen phosphate | 3.008037 | 5.915281 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem aou oxygen phosphate_star | 3.008037 | 5.915281 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem aou phosphate phosphate_star | 3.008037 | 5.915281 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate | 6.412464 | 18.094952 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 6.412464 | 18.094952 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 6.412464 | 18.094952 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou phosphate phosphate_star | 6.832149 | 18.772190 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 6.524236 | 18.275226 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 6.561731 | 18.340607 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 6.578453 | 18.366871 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 6.578453 | 18.366871 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 6.578453 | 18.366871 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem silicate phosphate_star | 6.808964 | 18.771532 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 5.448035 | 11.860499 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 5.448035 | 11.860499 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 5.448035 | 11.860499 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 5.865443 | 12.697592 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou phosphate phosphate_star | 5.865443 | 12.697592 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 5.680009 | 12.204245 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 5.747893 | 12.309624 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate | 5.790624 | 12.369076 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 5.790624 | 12.369076 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 5.790624 | 12.369076 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate | 4.587844 | 12.341915 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate_star | 4.587844 | 12.341915 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou silicate phosphate phosphate_star | 4.587844 | 12.341915 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 4.808873 | 12.666737 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate | 4.606218 | 12.425548 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate_star | 4.639391 | 12.492372 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate | 4.641288 | 12.494896 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.641288 | 12.494896 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.641288 | 12.494896 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem silicate phosphate_star | 4.668472 | 12.523652 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate | 3.918686 | 8.506530 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate_star | 3.918686 | 8.506530 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou silicate phosphate phosphate_star | 3.918686 | 8.506530 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou phosphate phosphate_star | 4.296239 | 9.105112 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate | 4.020165 | 8.626383 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate_star | 4.070978 | 8.710369 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate | 4.070850 | 8.712138 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.070850 | 8.712138 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.070850 | 8.712138 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate_star | 4.070986 | 8.739458 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate | 5.299889 | 11.016601 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 5.299889 | 11.016601 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate_star | 5.299889 | 11.016601 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate | 5.299581 | 10.953726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 5.299581 | 10.953726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou phosphate phosphate_star | 5.299889 | 11.016601 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 5.299581 | 10.953726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 5.299684 | 11.016337 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 5.299684 | 11.016337 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 5.299684 | 11.016337 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate | 4.659096 | 9.958985 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 4.659096 | 9.958985 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate_star | 4.659096 | 9.958985 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate | 4.575649 | 9.875230 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 4.575649 | 9.875230 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou phosphate phosphate_star | 4.659096 | 9.958985 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 4.575649 | 9.875230 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate | 4.643927 | 9.943611 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 4.643927 | 9.943611 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 4.643927 | 9.943611 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 4.899286 | 11.280393 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.899286 | 11.280393 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.899286 | 11.280393 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate | 4.904200 | 11.285824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate phosphate_star | 4.904200 | 11.285824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate_star | 4.904200 | 11.285824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate | 4.870946 | 11.208139 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate_star | 4.870946 | 11.208139 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou phosphate phosphate_star | 4.904200 | 11.285824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou silicate phosphate phosphate_star | 4.870946 | 11.208139 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate | 4.278856 | 9.178142 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.278856 | 9.178142 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.278856 | 9.178142 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate | 4.286351 | 9.190551 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate phosphate_star | 4.286351 | 9.190551 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate_star | 4.286351 | 9.190551 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 4.271466 | 9.142412 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 4.271466 | 9.142412 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou phosphate phosphate_star | 4.286351 | 9.190551 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 4.271466 | 9.142412 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate | 4.653156 | 10.693941 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.653156 | 10.693941 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.653156 | 10.693941 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate | 4.769758 | 10.835183 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate phosphate_star | 4.769758 | 10.835183 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate_star | 4.769758 | 10.835183 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 4.586638 | 10.592268 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.586638 | 10.592268 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou phosphate phosphate_star | 4.769758 | 10.835183 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.586638 | 10.592268 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate | 4.150192 | 8.804873 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.150192 | 8.804873 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou silicate phosphate phosphate_star | 4.150192 | 8.804873 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate | 4.161742 | 8.814898 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.161742 | 8.814898 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.161742 | 8.814898 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 4.166310 | 8.832878 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 4.070943 | 8.657582 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.070943 | 8.657582 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.070943 | 8.657582 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.183821 | 9.045564 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.183821 | 9.045564 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.183821 | 9.045564 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate | 4.222882 | 9.088769 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate phosphate_star | 4.222882 | 9.088769 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate_star | 4.222882 | 9.088769 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate | 3.974069 | 8.807533 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.974069 | 8.807533 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou phosphate phosphate_star | 4.222882 | 9.088769 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 3.974069 | 8.807533 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate | 3.254259 | 7.328018 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate_star | 3.254259 | 7.328018 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate | 3.286671 | 7.416525 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate phosphate_star | 3.254259 | 7.328018 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate | 3.257929 | 7.358636 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate_star | 3.265904 | 7.412449 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate | 3.264230 | 7.401099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 3.264230 | 7.401099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 3.264230 | 7.401099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.565771 | 7.539841 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate | 3.928401 | 8.345149 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate_star | 3.928401 | 8.345149 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou phosphate phosphate_star | 3.928401 | 8.345149 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen phosphate | 3.981835 | 8.399323 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen phosphate phosphate_star | 3.981835 | 8.399323 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen phosphate_star | 3.981835 | 8.399323 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate | 3.914759 | 8.309576 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 3.914759 | 8.309576 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou phosphate phosphate_star | 3.981835 | 8.399323 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 3.914759 | 8.309576 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 2.976861 | 6.709261 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 2.976861 | 6.709261 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate | 3.115105 | 7.033038 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 2.976861 | 6.709261 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 2.975058 | 6.709058 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate_star | 2.974130 | 6.715522 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 2.974208 | 6.714904 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 2.974208 | 6.714904 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 2.974208 | 6.714904 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate_star | 3.079668 | 6.845165 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou oxygen phosphate | 3.324744 | 7.543734 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou oxygen phosphate_star | 3.324744 | 7.543734 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou phosphate phosphate_star | 3.324744 | 7.543734 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate | 3.325385 | 7.553019 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate phosphate_star | 3.325385 | 7.553019 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate_star | 3.325385 | 7.553019 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate | 3.272915 | 7.500255 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 3.272915 | 7.500255 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou phosphate phosphate_star | 3.325385 | 7.553019 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 3.272915 | 7.500255 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate | 2.878145 | 6.194031 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 2.867316 | 6.163089 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 2.867370 | 6.161598 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 2.867370 | 6.161598 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 2.867370 | 6.161598 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate_star | 2.867448 | 6.192300 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate | 2.909812 | 6.182726 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 2.909812 | 6.182726 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 2.909812 | 6.182726 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem silicate phosphate phosphate_star | 2.920816 | 6.219674 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate | 3.025462 | 7.296153 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate phosphate_star | 3.025462 | 7.296153 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate_star | 3.025462 | 7.296153 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou silicate phosphate phosphate_star | 3.025462 | 7.296153 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 3.025444 | 7.289495 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 3.025444 | 7.289495 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 3.025444 | 7.289495 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate | 3.022557 | 7.293229 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 3.022557 | 7.293229 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 3.022557 | 7.293229 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 2.897529 | 5.922973 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 2.879725 | 5.903692 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 2.871802 | 5.903027 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 2.871789 | 5.903844 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 2.871789 | 5.903844 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 2.871789 | 5.903844 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate_star | 2.871807 | 5.920062 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate | 2.898044 | 5.920601 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 2.898044 | 5.920601 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 2.898044 | 5.920601 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate | 2.910716 | 7.272041 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate phosphate_star | 2.910716 | 7.272041 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate_star | 2.910716 | 7.272041 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 2.886106 | 7.246374 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 2.886106 | 7.246374 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou phosphate phosphate_star | 2.910716 | 7.272041 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 2.886106 | 7.246374 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate | 2.900338 | 7.261457 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 2.900338 | 7.261457 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 2.900338 | 7.261457 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 3.083208 | 5.969314 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 3.083208 | 5.969314 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 3.083208 | 5.969314 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate | 3.113457 | 6.013795 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 3.113457 | 6.013795 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 3.113457 | 6.013795 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate | 3.071584 | 5.984777 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate | 3.115837 | 6.010543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate_star | 3.115837 | 6.010543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou silicate phosphate phosphate_star | 3.115837 | 6.010543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate | 2.891727 | 7.122040 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.891727 | 7.122040 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.891727 | 7.122040 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.875840 | 7.103448 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.875840 | 7.103448 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou phosphate phosphate_star | 2.891727 | 7.122040 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.875840 | 7.103448 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.889770 | 7.116857 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.889770 | 7.116857 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.889770 | 7.116857 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate | 2.831820 | 5.723547 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.831820 | 5.723547 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.831820 | 5.723547 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.829913 | 5.705753 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.829913 | 5.705753 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou phosphate phosphate_star | 2.831820 | 5.723547 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.829913 | 5.705753 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.821094 | 5.710864 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.821094 | 5.710864 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.821094 | 5.710864 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate | 3.126115 | 6.748304 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 3.126115 | 6.748304 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate_star | 3.126115 | 6.748304 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou silicate phosphate phosphate_star | 3.126115 | 6.748304 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate | 3.125723 | 6.676192 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 3.125723 | 6.676192 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 3.125723 | 6.676192 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate | 3.075960 | 6.660405 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 3.075960 | 6.660405 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 3.075960 | 6.660405 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate | 2.689847 | 5.815962 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 2.689847 | 5.815962 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate_star | 2.689847 | 5.815962 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou silicate phosphate phosphate_star | 2.689847 | 5.815962 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate | 2.600258 | 5.725981 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 2.600258 | 5.725981 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 2.600258 | 5.725981 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate | 2.639205 | 5.715165 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 2.639205 | 5.715165 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 2.639205 | 5.715165 | 2000-2012 –> 2013-2019 |
2.4 Correlations RMSE between eras
2.4.1 All models
max_rmse <-
max(c(lm_all_stats_eras$rmse,
lm_all_stats_eras$rmse_sum - lm_all_stats_eras$rmse))
lm_all_stats_eras %>%
ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
geom_point() +
scale_color_viridis_d() +
coord_equal(xlim = c(0,max_rmse),
ylim = c(0,max_rmse)) +
facet_grid(eras ~ basin)
rm(max_rmse)2.4.2 Best models
max_rmse <-
max(c(lm_best$rmse,
lm_best$rmse_sum - lm_best$rmse))
lm_best %>%
ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
geom_point() +
scale_color_viridis_d() +
coord_equal(xlim = c(0,max_rmse),
ylim = c(0,max_rmse)) +
facet_grid(eras ~ basin)
rm(max_rmse)# this code tests the rmse output of the ols_step_all_possible() function used
lm_1 <- GLODAP %>%
filter(basin == "Atlantic",
gamma_slab == "(-Inf,26]",
era == "new_era") %>%
lm(cstar ~ sal + tem + aou + oxygen + phosphate_star, data = .)
lm_2 <- GLODAP %>%
filter(basin == "Atlantic",
gamma_slab == "(-Inf,26]",
era == "new_era") %>%
lm(cstar ~ sal + tem + aou + oxygen + phosphate, data = .)
lm_1
lm_2
sqrt(mean(lm_1$residuals^2))
sqrt(mean(lm_2$residuals^2))3 Fitting best models
After selecting 10 linear regression models with lowest summed RMSE across all eras, models are fitted again and model coefficients are saved to file.
# format model formula
lm_best <- lm_best %>%
mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
lm_coeff = paste("cstar ~", lm_coeff))
# create table with two era belonging to one eras
eras_forward <- lm_all_stats %>%
arrange(era) %>%
group_by(basin, gamma_slab, predictors) %>%
mutate(eras = paste(era, lead(era), sep = " --> ")) %>%
ungroup() %>%
select(era, eras) %>%
unique()
eras_backward <- lm_all_stats %>%
arrange(era) %>%
group_by(basin, gamma_slab, predictors) %>%
mutate(eras = paste(lag(era), era, sep = " --> ")) %>%
ungroup() %>%
select(era, eras) %>%
unique()
eras_era <- full_join(eras_backward, eras_forward) %>%
filter(str_detect(eras, "NA") == FALSE)
# extend best model selection from eras to era
lm_best <- lm_best %>%
select(-era)
lm_best <- full_join(lm_best, eras_era)
rm(eras_era, eras_forward, eras_backward, lm_all_stats, lm_all_stats_eras)# select required columns
lm_best <- lm_best %>%
select(basin, gamma_slab, era, eras, predictors, lm_coeff, rmse_sum)
# run similar loop as for rmse calculation
# to get model coefficients for 10 best models
for (i_basin in unique(GLODAP$basin)) {
for (i_era in unique(GLODAP$era)) {
# i_basin <- unique(GLODAP$basin)[1]
# i_era <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)
GLODAP_basin_era <- GLODAP %>%
filter(basin == i_basin, era == i_era)
lm_best_basin_era <- lm_best %>%
filter(basin == i_basin, era == i_era)
for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
# i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
print(i_gamma_slab)
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
filter(gamma_slab == i_gamma_slab)
lm_best_basin_era_slab <- lm_best_basin_era %>%
filter(gamma_slab == i_gamma_slab)
for (i_eras in unique(lm_best_basin_era_slab$eras)) {
# i_eras <- unique(lm_best_basin_era_slab$eras)[1]
lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
filter(eras == i_eras)
for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
# i_predictors <- unique(lm_best_basin_era_slab_eras$predictors)[2]
print(i_predictors)
lm_best_single <- lm_best_basin_era_slab_eras %>%
filter(predictors == i_predictors) %>%
select(lm_coeff) %>%
pull()
i_rmse_sum <- lm_best_basin_era_slab_eras %>%
filter(predictors == i_predictors) %>%
select(rmse_sum) %>%
pull()
lm_best_single_formula <- as.formula(lm_best_single)
lm_fit_single <- lm(lm_best_single_formula,
data = GLODAP_basin_era_slab)
# plotting model diagnostics
if (params_local$plot_all_figures == "y") {
p_model <- ggnostic(
lm_fit_single,
columnsY = c("cstar", ".fitted", ".resid"),
title = paste("eras:", i_eras,
"| era:", i_era,
"| basin:", i_basin,
"| gamma slab:", i_gamma_slab,
"| predictors:", i_predictors)
)
ggsave(
plot = p_model,
path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
filename = paste(
"MLR_residuals",
i_eras,
i_era,
i_basin,
i_gamma_slab,
i_predictors,
"predictors.png",
sep = "_"
),
width = 14,
height = 8
)
rm(p_model)
}
# collect model coefficients in data frame
coefficients <- tidy(lm_fit_single)
coefficients <- coefficients %>%
mutate(
basin = i_basin,
era = i_era,
eras = i_eras,
gamma_slab = i_gamma_slab,
model = lm_best_single,
rmse = i_rmse_sum
)
if (exists("lm_all")) {
lm_all <- bind_rows(lm_all, coefficients)
}
if (!exists("lm_all")) {
lm_all <- coefficients
}
}
}
}
}
}
rm(lm_fit_single, coefficients, i_rmse_sum,
GLODAP_basin_era, GLODAP_basin_era_slab,
lm_best, lm_best_basin_era, lm_best_basin_era_slab, lm_best_basin_era_slab_eras,
lm_best_single, lm_best_single_formula,
i_basin, i_era, i_gamma_slab, i_predictors)3.1 Predictor counts
The number of models where a particular predictor was included were counted for each basin, density slab and compared eras
lm_all_stats <- lm_all %>%
filter(term != "(Intercept)") %>%
group_by(basin, eras, gamma_slab) %>%
count(term) %>%
ungroup() %>%
pivot_wider(values_from = n, names_from = term)
lm_all_stats %>%
gt(rowname_col = "gamma_slab",
groupname_col = c("basin", "eras")) %>%
summary_rows(
groups = TRUE,
fns = list(total = "sum")
)| aou | oxygen | phosphate | phosphate_star | sal | silicate | tem | |
|---|---|---|---|---|---|---|---|
| Atlantic - 1982-1999 --> 2000-2012 | |||||||
| (-Inf,26] | 16 | 12 | 12 | 12 | 20 | 14 | 14 |
| (26,26.5] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (26.5,26.75] | 14 | 12 | 12 | 14 | 14 | 14 | 20 |
| (26.75,27] | 12 | 10 | 12 | 12 | 20 | 10 | 20 |
| (27,27.25] | 10 | 10 | 10 | 16 | 8 | 20 | 20 |
| (27.25,27.5] | 10 | 12 | 12 | 14 | 20 | 8 | 20 |
| (27.5,27.75] | 14 | 12 | 12 | 12 | 16 | 20 | 14 |
| (27.75,27.85] | 10 | 10 | 12 | 14 | 20 | 20 | 10 |
| (27.85,27.95] | 12 | 10 | 10 | 14 | 20 | 20 | 10 |
| (27.95,28.05] | 12 | 10 | 12 | 12 | 20 | 20 | 10 |
| (28.05,28.1] | 14 | 12 | 12 | 14 | 14 | 14 | 20 |
| (28.1,28.15] | 12 | 8 | 10 | 14 | 20 | 12 | 20 |
| (28.15,28.2] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (28.2, Inf] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| total | 196.00 | 160.00 | 168.00 | 190.00 | 238.00 | 190.00 | 210.00 |
| Atlantic - 2000-2012 --> 2013-2019 | |||||||
| (-Inf,26] | 16 | 12 | 12 | 12 | 20 | 14 | 14 |
| (26,26.5] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (26.5,26.75] | 14 | 10 | 12 | 14 | 14 | 16 | 20 |
| (26.75,27] | 12 | 8 | 12 | 14 | 10 | 20 | 20 |
| (27,27.25] | 14 | 12 | 12 | 12 | 14 | 20 | 16 |
| (27.25,27.5] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27.5,27.75] | 14 | 12 | 14 | 12 | 14 | 20 | 14 |
| (27.75,27.85] | 8 | 12 | 14 | 14 | 20 | 20 | 8 |
| (27.85,27.95] | 12 | 8 | 12 | 12 | 20 | 20 | 12 |
| (27.95,28.05] | 16 | 10 | 12 | 14 | 20 | 14 | 12 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (28.1,28.15] | 10 | 10 | 8 | 16 | 20 | 10 | 20 |
| (28.15,28.2] | 16 | 10 | 14 | 12 | 20 | 12 | 14 |
| (28.2, Inf] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| total | 212.00 | 160.00 | 178.00 | 188.00 | 210.00 | 190.00 | 216.00 |
| Indo-Pacific - 1982-1999 --> 2000-2012 | |||||||
| (-Inf,26] | 12 | 8 | 12 | 14 | 20 | 18 | 14 |
| (26,26.5] | 12 | 10 | 12 | 12 | 20 | 18 | 14 |
| (26.5,26.75] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (26.75,27] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27,27.25] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27.25,27.5] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27.5,27.75] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27.75,27.85] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27.85,27.95] | 20 | 14 | 14 | 14 | 6 | 20 | 6 |
| (27.95,28.05] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (28.1, Inf] | 20 | 14 | 14 | 14 | 6 | 20 | 6 |
| total | 224.00 | 158.00 | 164.00 | 166.00 | 142.00 | 124.00 | 158.00 |
| Indo-Pacific - 2000-2012 --> 2013-2019 | |||||||
| (-Inf,26] | 14 | 10 | 14 | 12 | 20 | 16 | 14 |
| (26,26.5] | 12 | 8 | 12 | 14 | 20 | 18 | 14 |
| (26.5,26.75] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (26.75,27] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (27,27.25] | 20 | 12 | 14 | 12 | 14 | 14 | 14 |
| (27.25,27.5] | 14 | 10 | 12 | 12 | 18 | 20 | 12 |
| (27.5,27.75] | 12 | 8 | 12 | 12 | 20 | 20 | 12 |
| (27.75,27.85] | 10 | 8 | 12 | 14 | 12 | 20 | 20 |
| (27.85,27.95] | 12 | 8 | 12 | 14 | 14 | 20 | 18 |
| (27.95,28.05] | 20 | 12 | 14 | 12 | 14 | 14 | 14 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (28.1, Inf] | 20 | 14 | 14 | 14 | 6 | 20 | 6 |
| total | 194.00 | 132.00 | 158.00 | 158.00 | 184.00 | 180.00 | 156.00 |
3.2 Prepare coeffcients
Coefficients are prepared for the mapping of cstar and cant.
# select relevant columns
lm_all <- lm_all %>%
select(basin, gamma_slab, era, eras, model, term, estimate)
# set coefficient to zero if not fitted (=NA)
lm_all <- lm_all %>%
mutate(estimate = if_else(is.na(estimate), 0, estimate))
# Prepare model coefficients for mapping of cstar
lm_all_cstar <- lm_all %>%
pivot_wider(values_from = estimate,
names_from = term,
names_prefix = "coeff_",
values_fill = 0)
# Prepare model coefficients differences for mapping of cant
# this requires to subtract coefficients of adjacent era
lm_all_long <- lm_all %>%
arrange(era) %>%
group_by(basin, gamma_slab, eras, model, term) %>%
mutate(delta_coeff = estimate - lag(estimate)) %>%
ungroup() %>%
arrange(basin, gamma_slab, model, term, eras) %>%
drop_na() %>%
select(-c(era,estimate))
lm_all_cant <- lm_all_long %>%
pivot_wider(values_from = delta_coeff,
names_from = term,
names_prefix = "delta_coeff_",
values_fill = 0)3.3 Write files
lm_all_cstar %>% write_csv(paste(path_version_data,
"lm_all_cstar.csv",
sep = ""))
lm_all_cant %>% write_csv(paste(path_version_data,
"lm_all_cant.csv",
sep = ""))
sessionInfo()R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1
Matrix products: default
BLAS: /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so
locale:
[1] LC_CTYPE=en_US.UTF-8 LC_NUMERIC=C
[3] LC_TIME=en_US.UTF-8 LC_COLLATE=en_US.UTF-8
[5] LC_MONETARY=en_US.UTF-8 LC_MESSAGES=en_US.UTF-8
[7] LC_PAPER=en_US.UTF-8 LC_NAME=C
[9] LC_ADDRESS=C LC_TELEPHONE=C
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] gt_0.2.2 corrr_0.4.3 broom_0.7.2 kableExtra_1.3.1
[5] knitr_1.30 olsrr_0.5.3.9000 GGally_2.0.0 lubridate_1.7.9
[9] metR_0.9.0 scico_1.2.0 patchwork_1.1.0 collapse_1.4.2
[13] forcats_0.5.0 stringr_1.4.0 dplyr_1.0.2 purrr_0.3.4
[17] readr_1.4.0 tidyr_1.1.2 tibble_3.0.4 ggplot2_3.3.2
[21] tidyverse_1.3.0 workflowr_1.6.2
loaded via a namespace (and not attached):
[1] fs_1.5.0 webshot_0.5.2 RColorBrewer_1.1-2
[4] httr_1.4.2 rprojroot_2.0.2 tools_4.0.3
[7] backports_1.1.10 R6_2.5.0 nortest_1.0-4
[10] DBI_1.1.0 colorspace_2.0-0 withr_2.3.0
[13] gridExtra_2.3 tidyselect_1.1.0 curl_4.3
[16] compiler_4.0.3 git2r_0.27.1 cli_2.2.0
[19] rvest_0.3.6 xml2_1.3.2 sass_0.2.0
[22] labeling_0.4.2 scales_1.1.1 checkmate_2.0.0
[25] goftest_1.2-2 digest_0.6.27 foreign_0.8-80
[28] rmarkdown_2.5 rio_0.5.16 pkgconfig_2.0.3
[31] htmltools_0.5.0 highr_0.8 dbplyr_1.4.4
[34] rlang_0.4.9 readxl_1.3.1 rstudioapi_0.13
[37] farver_2.0.3 generics_0.0.2 jsonlite_1.7.1
[40] zip_2.1.1 car_3.0-10 magrittr_2.0.1
[43] Matrix_1.2-18 Rcpp_1.0.5 munsell_0.5.0
[46] fansi_0.4.1 abind_1.4-5 lifecycle_0.2.0
[49] stringi_1.5.3 whisker_0.4 yaml_2.2.1
[52] carData_3.0-4 plyr_1.8.6 grid_4.0.3
[55] blob_1.2.1 parallel_4.0.3 promises_1.1.1
[58] crayon_1.3.4 lattice_0.20-41 haven_2.3.1
[61] hms_0.5.3 pillar_1.4.7 reprex_0.3.0
[64] glue_1.4.2 evaluate_0.14 RcppArmadillo_0.10.1.2.0
[67] data.table_1.13.2 modelr_0.1.8 vctrs_0.3.5
[70] httpuv_1.5.4 cellranger_1.1.0 gtable_0.3.0
[73] reshape_0.8.8 assertthat_0.2.1 xfun_0.18
[76] openxlsx_4.2.3 RcppEigen_0.3.3.7.0 later_1.1.0.1
[79] viridisLite_0.3.0 ellipsis_0.3.1 here_0.1