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 | 7.220108 | 13.270245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 7.220108 | 13.270245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 7.220108 | 13.270245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate | 7.145056 | 13.169410 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate_star | 7.145056 | 13.169410 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou phosphate phosphate_star | 7.145056 | 13.169410 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 7.315629 | 13.331691 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 7.326113 | 13.335165 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 7.338308 | 13.336356 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 7.338308 | 13.336356 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 6.924856 | 14.144963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 6.924856 | 14.144963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 6.924856 | 14.144963 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 7.093627 | 14.238683 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate_star | 7.093627 | 14.238683 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou phosphate phosphate_star | 7.093627 | 14.238683 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 6.938181 | 14.253810 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 6.941066 | 14.267179 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 6.941840 | 14.280147 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 6.941840 | 14.280147 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate | 5.791778 | 10.668684 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate_star | 5.791778 | 10.668684 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal aou phosphate phosphate_star | 5.797106 | 10.695316 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal aou silicate phosphate phosphate_star | 5.791778 | 10.668684 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 5.703649 | 10.518874 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate_star | 5.703649 | 10.518874 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou phosphate phosphate_star | 5.703649 | 10.518874 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate | 5.883451 | 10.677379 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate_star | 5.883451 | 10.677379 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou silicate phosphate phosphate_star | 5.883451 | 10.677379 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou oxygen phosphate | 7.070120 | 12.867226 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou oxygen phosphate phosphate_star | 7.070120 | 12.867226 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou oxygen phosphate_star | 7.070120 | 12.867226 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate | 7.069654 | 12.861432 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate_star | 7.069654 | 12.861432 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou phosphate phosphate_star | 7.070120 | 12.867226 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal aou silicate phosphate phosphate_star | 7.069654 | 12.861432 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate | 7.069721 | 12.773369 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate_star | 7.069721 | 12.773369 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou phosphate phosphate_star | 7.069721 | 12.773369 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 5.285099 | 9.162295 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 5.285099 | 9.162295 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 5.285099 | 9.162295 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen phosphate | 5.317893 | 9.261621 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen phosphate phosphate_star | 5.317893 | 9.261621 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen phosphate_star | 5.317893 | 9.261621 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate | 5.308382 | 9.244457 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 5.308382 | 9.244457 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou phosphate phosphate_star | 5.317893 | 9.261621 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 5.308382 | 9.244457 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate | 7.545624 | 12.830723 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 7.545624 | 12.830723 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 7.545624 | 12.830723 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen phosphate | 7.552531 | 12.870424 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen phosphate phosphate_star | 7.552531 | 12.870424 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen phosphate_star | 7.552531 | 12.870424 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate | 7.547785 | 12.856167 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 7.547785 | 12.856167 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou phosphate phosphate_star | 7.552531 | 12.870424 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 7.547785 | 12.856167 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 5.408692 | 10.260048 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 5.408692 | 10.260048 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 5.408692 | 10.260048 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou silicate phosphate_star | 5.406871 | 10.249764 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate | 5.405116 | 10.249068 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate_star | 5.405116 | 10.249068 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem silicate phosphate phosphate_star | 5.405116 | 10.249068 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate | 5.382115 | 10.260245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate_star | 5.382115 | 10.260245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | tem aou silicate phosphate phosphate_star | 5.382115 | 10.260245 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate | 6.042885 | 11.451577 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate_star | 6.042885 | 11.451577 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou phosphate phosphate_star | 6.042885 | 11.451577 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou silicate phosphate_star | 6.010611 | 11.417482 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate | 6.009250 | 11.414366 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate_star | 6.009250 | 11.414366 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem silicate phosphate phosphate_star | 6.009250 | 11.414366 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 5.991446 | 11.373561 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 5.991446 | 11.373561 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 5.991446 | 11.373561 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate | 5.422825 | 10.927349 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate_star | 5.422825 | 10.927349 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou silicate phosphate | 5.441076 | 10.802410 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou silicate phosphate_star | 5.371932 | 10.695303 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate | 5.378035 | 10.699645 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate_star | 5.378035 | 10.699645 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem silicate phosphate phosphate_star | 5.378035 | 10.699645 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 5.384978 | 10.835501 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 5.384978 | 10.835501 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 5.384978 | 10.835501 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 7.519878 | 12.960954 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate_star | 7.505051 | 12.876983 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate | 7.504835 | 12.882870 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate_star | 7.504835 | 12.882870 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem silicate phosphate phosphate_star | 7.504835 | 12.882870 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 7.505043 | 12.890021 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 7.505043 | 12.890021 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 7.505043 | 12.890021 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou silicate phosphate_star | 7.516651 | 12.980018 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem oxygen silicate phosphate_star | 7.516214 | 12.986639 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.408869 | 9.113576 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.408869 | 9.113576 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou phosphate | 4.429629 | 9.139318 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.408869 | 9.113576 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou silicate phosphate | 4.426643 | 9.134512 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate | 4.412044 | 9.147314 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate phosphate_star | 4.412044 | 9.147314 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate | 4.410878 | 9.142164 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 4.410878 | 9.142164 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 4.410878 | 9.142164 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou oxygen phosphate | 7.398365 | 11.807234 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 7.398365 | 11.807234 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 7.398365 | 11.807234 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate | 7.473653 | 11.900296 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate | 7.504082 | 11.914960 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 7.504082 | 11.914960 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 7.504082 | 11.914960 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate | 7.352322 | 11.896584 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 7.352322 | 11.896584 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 7.352322 | 11.896584 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate | 4.387831 | 9.025219 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 4.387831 | 9.025219 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 4.387831 | 9.025219 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem aou silicate phosphate | 4.377379 | 9.014291 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem aou silicate phosphate_star | 4.392508 | 9.052896 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate | 4.379474 | 9.027998 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 4.379474 | 9.027998 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 4.379474 | 9.027998 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.424207 | 9.071160 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 4.424207 | 9.071160 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 6.510065 | 10.897896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 6.510065 | 10.897896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 6.510065 | 10.897896 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 6.508107 | 10.885486 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate_star | 6.514017 | 10.906525 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 6.507270 | 10.886744 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 6.507270 | 10.886744 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 6.507270 | 10.886744 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate | 6.509403 | 10.933609 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 6.509403 | 10.933609 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate | 4.689070 | 9.398455 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 4.689070 | 9.398455 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou silicate phosphate | 4.690411 | 9.401200 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 4.689070 | 9.398455 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal oxygen silicate phosphate_star | 4.694038 | 9.418161 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal silicate phosphate phosphate_star | 4.694038 | 9.418161 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate | 4.689492 | 9.395528 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate | 4.688484 | 9.405722 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 4.688484 | 9.405722 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 4.688484 | 9.405722 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate | 7.641262 | 12.330332 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 7.641262 | 12.330332 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 7.641262 | 12.330332 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate | 7.662787 | 12.352278 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 7.643016 | 12.332975 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 7.663688 | 12.352172 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 7.663688 | 12.352172 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 7.663688 | 12.352172 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 7.702613 | 12.406786 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 7.702613 | 12.406786 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 4.929969 | 9.049055 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 4.929969 | 9.049055 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 4.929969 | 9.049055 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate_star | 4.991804 | 9.111564 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate | 4.933966 | 9.063565 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate_star | 4.929867 | 9.049381 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate | 4.932899 | 9.058664 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 4.932899 | 9.058664 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem silicate phosphate | 5.002555 | 9.266802 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 4.932899 | 9.058664 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate | 5.358495 | 10.288464 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 5.358495 | 10.288464 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 5.358495 | 10.288464 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate_star | 5.437284 | 10.429088 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 5.367322 | 10.301289 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 5.360862 | 10.290729 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 5.367894 | 10.300793 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 5.367894 | 10.300793 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate | 5.374993 | 10.377548 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 5.367894 | 10.300793 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 5.734264 | 9.611180 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 5.734264 | 9.611180 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 5.734264 | 9.611180 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate_star | 5.738125 | 9.615445 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal oxygen silicate phosphate_star | 5.803583 | 9.737515 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate | 5.766624 | 9.668541 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate_star | 5.737198 | 9.614512 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate | 5.753912 | 9.643999 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 5.753912 | 9.643999 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 5.753912 | 9.643999 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 6.545782 | 12.280045 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 6.545782 | 12.280045 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 6.545782 | 12.280045 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate_star | 6.601263 | 12.339388 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate | 6.452136 | 12.271565 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 6.452136 | 12.271565 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 6.452136 | 12.271565 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate_star | 6.575960 | 12.313159 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate | 6.619564 | 12.373476 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 6.619564 | 12.373476 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 5.905772 | 9.702956 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 5.905772 | 9.702956 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 5.905772 | 9.702956 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate | 5.998629 | 9.911994 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate phosphate_star | 5.998629 | 9.911994 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate_star | 5.998629 | 9.911994 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate | 5.906435 | 9.807094 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 5.906435 | 9.807094 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou phosphate phosphate_star | 5.998629 | 9.911994 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 5.906435 | 9.807094 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 6.673318 | 12.579090 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 6.673318 | 12.579090 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 6.673318 | 12.579090 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate | 6.939403 | 12.938032 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate phosphate_star | 6.939403 | 12.938032 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate_star | 6.939403 | 12.938032 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate | 6.806527 | 12.712962 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 6.806527 | 12.712962 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou phosphate phosphate_star | 6.939403 | 12.938032 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 6.806527 | 12.712962 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate | 6.638992 | 10.323403 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 6.638992 | 10.323403 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 6.638992 | 10.323403 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate_star | 6.653270 | 10.348847 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou silicate phosphate_star | 6.642656 | 10.309268 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate | 6.644431 | 10.309978 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate_star | 6.644431 | 10.309978 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem phosphate phosphate_star | 6.652307 | 10.349350 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate phosphate_star | 6.644431 | 10.309978 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate_star | 6.646518 | 10.323597 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate | 8.186984 | 14.825976 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 8.186984 | 14.825976 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 8.186984 | 14.825976 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen phosphate | 8.188756 | 14.892831 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen phosphate phosphate_star | 8.188756 | 14.892831 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen phosphate_star | 8.188756 | 14.892831 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen silicate phosphate | 8.132323 | 14.813814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen silicate phosphate_star | 8.132323 | 14.813814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou phosphate phosphate_star | 8.188756 | 14.892831 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou silicate phosphate phosphate_star | 8.132323 | 14.813814 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate | 3.533403 | 7.697235 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 3.533403 | 7.697235 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou silicate phosphate phosphate_star | 3.533403 | 7.697235 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate | 3.521117 | 7.682053 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 3.521117 | 7.682053 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 3.521117 | 7.682053 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou silicate phosphate | 3.510583 | 7.660954 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou oxygen silicate phosphate | 3.536726 | 7.689876 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou oxygen silicate phosphate_star | 3.536726 | 7.689876 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou silicate phosphate phosphate_star | 3.536726 | 7.689876 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate | 2.782947 | 6.316350 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 2.782947 | 6.316350 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate | 2.764920 | 6.286037 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 2.764920 | 6.286037 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate | 2.765916 | 6.297554 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 2.764920 | 6.286037 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou silicate phosphate | 2.753294 | 6.263877 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem oxygen silicate phosphate | 2.757720 | 6.294783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem oxygen silicate phosphate_star | 2.757720 | 6.294783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem silicate phosphate phosphate_star | 2.757720 | 6.294783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate | 3.058022 | 6.231969 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate phosphate_star | 3.058022 | 6.231969 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate_star | 3.058022 | 6.231969 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate | 3.057383 | 6.191395 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 3.057383 | 6.191395 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou phosphate phosphate_star | 3.058022 | 6.231969 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 3.057383 | 6.191395 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate | 3.057934 | 6.228601 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate_star | 3.057934 | 6.228601 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou phosphate phosphate_star | 3.057934 | 6.228601 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate | 2.879999 | 5.937382 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 2.879999 | 5.937382 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou silicate phosphate | 2.899498 | 5.957205 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 2.879999 | 5.937382 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal oxygen silicate phosphate | 2.880994 | 5.959337 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal oxygen silicate phosphate phosphate_star | 2.880994 | 5.959337 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem aou silicate phosphate | 2.899236 | 5.956799 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem oxygen silicate phosphate | 2.880381 | 5.950477 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem oxygen silicate phosphate_star | 2.880381 | 5.950477 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem silicate phosphate phosphate_star | 2.880381 | 5.950477 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate | 6.272009 | 17.843508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 6.272009 | 17.843508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 6.272009 | 17.843508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate | 6.640164 | 18.711117 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou phosphate phosphate_star | 6.640164 | 18.711117 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 6.394241 | 18.033459 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 6.434056 | 18.102789 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 6.451973 | 18.134982 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 6.451973 | 18.134982 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 6.451973 | 18.134982 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 5.476274 | 11.748284 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 5.476274 | 11.748284 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 5.476274 | 11.748284 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 5.885822 | 12.525986 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate_star | 5.885822 | 12.525986 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 5.707934 | 12.102175 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 5.773367 | 12.207424 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate | 5.816873 | 12.268845 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 5.816873 | 12.268845 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 5.816873 | 12.268845 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate | 4.895496 | 12.533516 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate_star | 4.895496 | 12.533516 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou silicate phosphate phosphate_star | 4.895496 | 12.533516 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 5.090623 | 12.938490 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate_star | 5.090623 | 12.938490 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate | 4.924930 | 12.746078 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate_star | 4.957359 | 12.869878 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate | 4.958168 | 12.890075 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.958168 | 12.890075 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.958168 | 12.890075 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate | 4.044688 | 8.940184 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate_star | 4.044688 | 8.940184 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou silicate phosphate phosphate_star | 4.044688 | 8.940184 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate_star | 4.417505 | 9.508128 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate | 4.156968 | 9.081897 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate_star | 4.210031 | 9.167390 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate | 4.210076 | 9.168244 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.210076 | 9.168244 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.210076 | 9.168244 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate_star | 4.210082 | 9.172885 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate | 5.681554 | 12.096410 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 5.681554 | 12.096410 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate_star | 5.681554 | 12.096410 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate | 5.680072 | 11.910569 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 5.680072 | 11.910569 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou phosphate phosphate_star | 5.681554 | 12.096410 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 5.680072 | 11.910569 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 5.676733 | 12.066761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 5.676733 | 12.066761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 5.676733 | 12.066761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate | 5.164564 | 10.846117 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 5.164564 | 10.846117 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate_star | 5.164564 | 10.846117 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate | 5.078976 | 10.759048 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 5.078976 | 10.759048 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou phosphate phosphate_star | 5.164564 | 10.846117 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 5.078976 | 10.759048 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate | 5.155730 | 10.832463 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 5.155730 | 10.832463 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 5.155730 | 10.832463 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal aou oxygen silicate phosphate | 5.558326 | 12.595679 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal aou oxygen silicate phosphate_star | 5.558326 | 12.595679 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal aou silicate phosphate phosphate_star | 5.558326 | 12.595679 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 5.546322 | 12.584406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 5.546322 | 12.584406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 5.546322 | 12.584406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate_star | 5.549259 | 12.614602 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate | 5.488123 | 12.473367 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate_star | 5.488123 | 12.473367 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou silicate phosphate phosphate_star | 5.488123 | 12.473367 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate | 4.602961 | 10.149282 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.602961 | 10.149282 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.602961 | 10.149282 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate | 4.604130 | 10.153389 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate phosphate_star | 4.604130 | 10.153389 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate_star | 4.604130 | 10.153389 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 4.604080 | 10.092203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 4.604080 | 10.092203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou phosphate phosphate_star | 4.604130 | 10.153389 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 4.604080 | 10.092203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate | 4.921063 | 11.489819 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.921063 | 11.489819 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.921063 | 11.489819 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate | 5.040118 | 11.627081 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate phosphate_star | 5.040118 | 11.627081 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen phosphate_star | 5.040118 | 11.627081 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 4.857467 | 11.442611 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.857467 | 11.442611 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou phosphate phosphate_star | 5.040118 | 11.627081 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.857467 | 11.442611 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate | 4.154624 | 9.093684 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.154624 | 9.093684 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou silicate phosphate phosphate_star | 4.154624 | 9.093684 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate | 4.162978 | 9.084041 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.162978 | 9.084041 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.162978 | 9.084041 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 4.172048 | 9.128071 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 4.133291 | 8.990758 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.133291 | 8.990758 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.133291 | 8.990758 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.462182 | 9.589644 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.462182 | 9.589644 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.462182 | 9.589644 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate | 4.501333 | 9.639203 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate phosphate_star | 4.501333 | 9.639203 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate_star | 4.501333 | 9.639203 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate | 4.251098 | 9.375910 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 4.251098 | 9.375910 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou phosphate phosphate_star | 4.501333 | 9.639203 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 4.251098 | 9.375910 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate | 3.306046 | 7.662541 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate_star | 3.306046 | 7.662541 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate | 3.355504 | 7.778079 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate phosphate_star | 3.306046 | 7.662541 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate | 3.310307 | 7.694610 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate_star | 3.318239 | 7.745860 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate | 3.316756 | 7.735721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 3.316756 | 7.735721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 3.316756 | 7.735721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.596896 | 7.847994 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate | 3.898645 | 8.938237 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 3.898645 | 8.938237 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 3.898645 | 8.938237 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate | 4.118083 | 8.987404 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate_star | 4.118083 | 8.987404 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou phosphate phosphate_star | 4.118083 | 8.987404 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen phosphate_star | 4.187576 | 9.057098 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate | 4.113085 | 8.982386 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.113085 | 8.982386 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 4.113085 | 8.982386 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 3.031080 | 6.929724 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 3.031080 | 6.929724 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate | 3.179048 | 7.252847 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 3.031080 | 6.929724 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 3.030439 | 6.927522 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate_star | 3.030721 | 6.936324 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 3.030626 | 6.935183 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 3.030626 | 6.935183 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 3.030626 | 6.935183 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate_star | 3.128710 | 7.067547 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate | 3.602971 | 7.979147 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 3.602971 | 7.979147 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate | 3.569537 | 7.968897 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate_star | 3.550431 | 7.966254 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate | 3.549505 | 7.969563 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 3.549505 | 7.969563 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 3.549505 | 7.969563 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate | 3.533815 | 7.910133 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 3.533815 | 7.910133 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 3.533815 | 7.910133 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate | 2.917117 | 6.486655 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 2.906541 | 6.456971 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 2.906668 | 6.456173 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 2.906668 | 6.456173 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 2.906668 | 6.456173 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate_star | 2.907234 | 6.469637 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate | 2.950353 | 6.484169 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 2.950353 | 6.484169 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 2.950353 | 6.484169 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem oxygen silicate phosphate_star | 2.961986 | 6.519125 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate | 3.181070 | 7.675726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate phosphate_star | 3.181070 | 7.675726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate_star | 3.181070 | 7.675726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou silicate phosphate phosphate_star | 3.181070 | 7.675726 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 3.180499 | 7.675134 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 3.180499 | 7.675134 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 3.180499 | 7.675134 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate | 3.176594 | 7.670887 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 3.176594 | 7.670887 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 3.176594 | 7.670887 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 2.952287 | 6.132786 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 2.933564 | 6.109814 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 2.924521 | 6.106236 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 2.924544 | 6.106841 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 2.924544 | 6.106841 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 2.924544 | 6.106841 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate_star | 2.924560 | 6.118377 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate | 2.954127 | 6.130721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 2.954127 | 6.130721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 2.954127 | 6.130721 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate | 3.005294 | 7.473916 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate phosphate_star | 3.005294 | 7.473916 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate_star | 3.005294 | 7.473916 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 2.981482 | 7.440824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 2.981482 | 7.440824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou phosphate phosphate_star | 3.005294 | 7.473916 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 2.981482 | 7.440824 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate | 2.998464 | 7.453698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 2.998464 | 7.453698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 2.998464 | 7.453698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 3.072403 | 6.053884 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 3.072403 | 6.053884 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 3.072403 | 6.053884 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate | 3.060049 | 6.064534 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate | 3.057910 | 6.096697 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 3.057910 | 6.096697 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 3.057910 | 6.096697 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate | 3.101788 | 6.095705 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate_star | 3.101788 | 6.095705 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou silicate phosphate phosphate_star | 3.101788 | 6.095705 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate | 2.927846 | 7.039294 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.927846 | 7.039294 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.927846 | 7.039294 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.910706 | 7.021701 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.910706 | 7.021701 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou phosphate phosphate_star | 2.927846 | 7.039294 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.910706 | 7.021701 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.925758 | 7.035313 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.925758 | 7.035313 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.925758 | 7.035313 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate | 2.842357 | 5.770203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.842357 | 5.770203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.842357 | 5.770203 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.840019 | 5.750725 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.840019 | 5.750725 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.840019 | 5.750725 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.833341 | 5.759099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.833341 | 5.759099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.833341 | 5.759099 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou silicate phosphate | 2.848335 | 5.769012 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate | 3.172395 | 7.155698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 3.172395 | 7.155698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate_star | 3.172395 | 7.155698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou silicate phosphate phosphate_star | 3.172395 | 7.155698 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate | 3.171870 | 7.152761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 3.171870 | 7.152761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 3.171870 | 7.152761 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate | 3.115098 | 7.040808 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 3.115098 | 7.040808 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 3.115098 | 7.040808 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate | 2.730854 | 5.903249 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 2.730854 | 5.903249 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate_star | 2.730854 | 5.903249 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou silicate phosphate phosphate_star | 2.730854 | 5.903249 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate | 2.657330 | 5.829199 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 2.657330 | 5.829199 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 2.657330 | 5.829199 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate | 2.685068 | 5.800166 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 2.685068 | 5.800166 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 2.685068 | 5.800166 | 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 | 12 | 14 | 14 | 14 | 12 | 12 |
| (26.5,26.75] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (26.75,27] | 14 | 12 | 12 | 14 | 14 | 14 | 20 |
| (27,27.25] | 14 | 12 | 12 | 12 | 14 | 16 | 20 |
| (27.25,27.5] | 10 | 12 | 16 | 10 | 20 | 8 | 20 |
| (27.5,27.75] | 14 | 10 | 12 | 14 | 16 | 20 | 14 |
| (27.75,27.85] | 10 | 10 | 14 | 12 | 20 | 20 | 8 |
| (27.85,27.95] | 12 | 8 | 12 | 12 | 20 | 20 | 12 |
| (27.95,28.05] | 12 | 10 | 10 | 14 | 20 | 20 | 10 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (28.1,28.15] | 10 | 8 | 10 | 16 | 20 | 10 | 20 |
| (28.15,28.2] | 20 | 12 | 14 | 12 | 14 | 14 | 14 |
| (28.2, Inf] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| total | 212.00 | 160.00 | 180.00 | 184.00 | 224.00 | 186.00 | 210.00 |
| Atlantic - 2000-2012 --> 2013-2019 | |||||||
| (-Inf,26] | 16 | 10 | 12 | 14 | 20 | 14 | 14 |
| (26,26.5] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (26.5,26.75] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (26.75,27] | 14 | 12 | 12 | 14 | 14 | 14 | 20 |
| (27,27.25] | 12 | 10 | 10 | 14 | 10 | 20 | 20 |
| (27.25,27.5] | 14 | 12 | 14 | 12 | 14 | 14 | 20 |
| (27.5,27.75] | 14 | 12 | 12 | 12 | 16 | 20 | 14 |
| (27.75,27.85] | 14 | 10 | 12 | 14 | 16 | 20 | 14 |
| (27.85,27.95] | 12 | 8 | 12 | 12 | 20 | 20 | 12 |
| (27.95,28.05] | 16 | 12 | 10 | 14 | 20 | 14 | 12 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (28.1,28.15] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (28.15,28.2] | 14 | 12 | 14 | 10 | 20 | 12 | 16 |
| (28.2, Inf] | 10 | 12 | 16 | 10 | 20 | 20 | 8 |
| total | 216.00 | 166.00 | 180.00 | 182.00 | 208.00 | 192.00 | 216.00 |
| Indo-Pacific - 1982-1999 --> 2000-2012 | |||||||
| (-Inf,26] | 14 | 10 | 14 | 12 | 20 | 16 | 14 |
| (26,26.5] | 14 | 12 | 12 | 12 | 20 | 16 | 14 |
| (26.5,26.75] | 20 | 14 | 14 | 14 | 20 | 6 | 6 |
| (26.75,27] | 20 | 14 | 12 | 14 | 12 | 12 | 14 |
| (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 | 12 | 14 | 12 | 12 | 14 |
| (27.75,27.85] | 14 | 12 | 12 | 12 | 14 | 20 | 16 |
| (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 | 222.00 | 160.00 | 160.00 | 162.00 | 162.00 | 146.00 | 142.00 |
| Indo-Pacific - 2000-2012 --> 2013-2019 | |||||||
| (-Inf,26] | 14 | 12 | 12 | 12 | 20 | 16 | 14 |
| (26,26.5] | 12 | 10 | 10 | 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 | 10 | 10 | 14 | 12 | 20 | 20 |
| (27.85,27.95] | 12 | 8 | 12 | 14 | 14 | 20 | 18 |
| (27.95,28.05] | 14 | 12 | 14 | 12 | 14 | 20 | 14 |
| (28.05,28.1] | 20 | 14 | 14 | 12 | 20 | 8 | 8 |
| (28.1, Inf] | 20 | 14 | 14 | 14 | 6 | 20 | 6 |
| total | 188.00 | 138.00 | 152.00 | 156.00 | 184.00 | 188.00 | 158.00 |
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