eMLR - model fitting
Jens Daniel Müller
03 December, 2020
Last updated: 2020-12-03
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 | 6.443592 | 12.526974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 6.443592 | 12.526974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 6.443592 | 12.526974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate | 6.570724 | 12.632794 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou oxygen phosphate_star | 6.570724 | 12.632794 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 6.507397 | 12.556291 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 6.514931 | 12.556936 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 6.520974 | 12.551974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 6.520974 | 12.551974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 6.520974 | 12.551974 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 2.723262 | 9.166854 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 2.723262 | 9.166854 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 2.723262 | 9.166854 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 2.593086 | 9.163810 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate_star | 2.593086 | 9.163810 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou phosphate phosphate_star | 2.593086 | 9.163810 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 2.685329 | 9.192726 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 2.680247 | 9.195177 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate | 2.679213 | 9.200188 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 2.679213 | 9.200188 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 5.119954 | 9.968438 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate_star | 5.119954 | 9.968438 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | sal tem aou phosphate phosphate_star | 5.119954 | 9.968438 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate | 5.125667 | 9.982298 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate phosphate_star | 5.125667 | 9.982298 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen phosphate_star | 5.125667 | 9.982298 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate | 5.114177 | 9.938494 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou oxygen silicate phosphate_star | 5.114177 | 9.938494 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou phosphate phosphate_star | 5.125667 | 9.982298 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26,26.5] | tem aou silicate phosphate phosphate_star | 5.114177 | 9.938494 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate | 2.725092 | 7.845046 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou oxygen phosphate_star | 2.725092 | 7.845046 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | sal tem aou phosphate phosphate_star | 2.725092 | 7.845046 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate | 2.805619 | 7.931286 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate phosphate_star | 2.805619 | 7.931286 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen phosphate_star | 2.805619 | 7.931286 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen silicate phosphate | 2.799017 | 7.913194 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou oxygen silicate phosphate_star | 2.799017 | 7.913194 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou phosphate phosphate_star | 2.805619 | 7.931286 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26,26.5] | tem aou silicate phosphate phosphate_star | 2.799017 | 7.913194 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 4.236994 | 8.021374 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 4.236994 | 8.021374 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 4.236994 | 8.021374 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem aou silicate phosphate_star | 4.194604 | 8.094774 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem oxygen silicate phosphate | 4.190769 | 8.081594 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem oxygen silicate phosphate_star | 4.190769 | 8.081594 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | sal tem silicate phosphate phosphate_star | 4.190769 | 8.081594 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate | 4.224299 | 8.039317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 4.224299 | 8.039317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 4.224299 | 8.039317 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate | 3.119611 | 7.356605 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 3.119611 | 7.356605 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 3.119611 | 7.356605 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem aou silicate phosphate_star | 3.163883 | 7.358487 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem oxygen silicate phosphate | 3.163997 | 7.354767 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem oxygen silicate phosphate_star | 3.163997 | 7.354767 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | sal tem silicate phosphate phosphate_star | 3.163997 | 7.354767 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate | 3.114482 | 7.338782 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou oxygen silicate phosphate_star | 3.114482 | 7.338782 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.5,26.75] | tem aou silicate phosphate phosphate_star | 3.114482 | 7.338782 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 4.360002 | 8.735961 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.360002 | 8.735961 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.360002 | 8.735961 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou phosphate_star | 4.366750 | 8.743131 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou silicate phosphate | 4.356890 | 8.716146 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem aou silicate phosphate_star | 4.334386 | 8.683875 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen phosphate_star | 4.367237 | 8.743950 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate | 4.334399 | 8.684089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem oxygen silicate phosphate_star | 4.334399 | 8.684089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (26.75,27] | sal tem silicate phosphate phosphate_star | 4.334399 | 8.684089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou silicate phosphate | 3.681709 | 8.038600 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem aou silicate phosphate_star | 3.684673 | 8.019058 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate | 3.685259 | 8.019658 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem oxygen silicate phosphate_star | 3.685259 | 8.019658 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | sal tem silicate phosphate phosphate_star | 3.685259 | 8.019658 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 3.699599 | 8.067458 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 3.699599 | 8.067458 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 3.699599 | 8.067458 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem aou silicate phosphate_star | 3.702781 | 8.072838 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (26.75,27] | tem oxygen silicate phosphate | 3.703325 | 8.073442 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem aou silicate phosphate_star | 4.715622 | 9.937082 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate | 4.721445 | 9.942054 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem oxygen silicate phosphate_star | 4.721445 | 9.942054 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | sal tem silicate phosphate phosphate_star | 4.721445 | 9.942054 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 4.707474 | 9.976564 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.707474 | 9.976564 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.707474 | 9.976564 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem aou silicate phosphate_star | 4.749838 | 10.022178 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem oxygen silicate phosphate_star | 4.755685 | 10.027731 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27,27.25] | tem silicate phosphate phosphate_star | 4.755685 | 10.027731 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate | 4.739592 | 9.708484 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.739592 | 9.708484 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 4.763216 | 9.551272 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate_star | 4.785133 | 9.500756 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate | 4.785806 | 9.507251 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem oxygen silicate phosphate_star | 4.785806 | 9.507251 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | sal tem silicate phosphate phosphate_star | 4.785806 | 9.507251 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 4.873179 | 9.580653 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.873179 | 9.580653 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.873179 | 9.580653 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.187124 | 8.780967 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.187124 | 8.780967 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.187124 | 8.780967 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem aou silicate phosphate_star | 4.186556 | 8.787496 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate | 4.190387 | 8.791573 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate phosphate_star | 4.190387 | 8.791573 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen phosphate_star | 4.190387 | 8.791573 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate | 4.190035 | 8.788047 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 4.190035 | 8.788047 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 4.190035 | 8.788047 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate | 3.863654 | 8.135900 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate_star | 3.863654 | 8.135900 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate phosphate_star | 3.863654 | 8.135900 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate | 3.905331 | 8.114260 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate | 3.940069 | 8.130105 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 3.940069 | 8.130105 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 3.940069 | 8.130105 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate | 3.847627 | 8.126589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.847627 | 8.126589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 3.847627 | 8.126589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate | 4.356329 | 8.682619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 4.356329 | 8.682619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 4.356329 | 8.682619 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem aou silicate phosphate | 4.345371 | 8.683030 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate | 4.346890 | 8.703639 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 4.346890 | 8.703639 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 4.346890 | 8.703639 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate | 4.387136 | 8.714513 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.387136 | 8.714513 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 4.387136 | 8.714513 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 4.458187 | 8.814516 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 4.458187 | 8.814516 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 4.446332 | 8.791704 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate_star | 4.416434 | 8.775606 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 4.431690 | 8.778580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 4.431690 | 8.778580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 4.431690 | 8.778580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate | 4.408584 | 8.795720 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.408584 | 8.795720 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 4.408584 | 8.795720 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate | 4.698470 | 9.000855 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 4.698470 | 9.000855 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou silicate phosphate | 4.700084 | 9.002820 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 4.698470 | 9.000855 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal oxygen silicate phosphate | 4.703764 | 9.025912 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal oxygen silicate phosphate phosphate_star | 4.703764 | 9.025912 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem aou silicate phosphate | 4.698226 | 8.998658 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate | 4.699260 | 9.010442 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 4.699260 | 9.010442 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 4.699260 | 9.010442 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate | 6.733110 | 11.431580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou oxygen silicate phosphate_star | 6.733110 | 11.431580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal aou silicate phosphate phosphate_star | 6.733110 | 11.431580 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate | 6.764984 | 11.463209 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 6.730363 | 11.434915 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 6.764729 | 11.463989 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 6.764729 | 11.463989 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate | 6.653574 | 11.378434 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 6.653574 | 11.378434 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 6.653574 | 11.378434 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 4.891497 | 8.600716 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 4.891497 | 8.600716 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 4.891497 | 8.600716 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate_star | 4.944030 | 8.658282 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate | 4.893816 | 8.613588 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem aou silicate phosphate_star | 4.890741 | 8.601154 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate | 4.892756 | 8.609237 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 4.892756 | 8.609237 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem silicate phosphate | 4.987923 | 8.810992 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 4.892756 | 8.609237 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate | 4.896287 | 9.787783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 4.896287 | 9.787783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 4.896287 | 9.787783 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal aou silicate phosphate_star | 5.022147 | 9.966177 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 4.931832 | 9.825648 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 4.911670 | 9.802411 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 4.933393 | 9.826149 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 4.933393 | 9.826149 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate | 4.941563 | 9.929486 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 4.933393 | 9.826149 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 5.739076 | 9.287077 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 5.739076 | 9.287077 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 5.739076 | 9.287077 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate_star | 5.741383 | 9.294941 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal oxygen silicate phosphate_star | 5.802526 | 9.451032 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate | 5.770819 | 9.347695 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem aou silicate phosphate_star | 5.741118 | 9.291934 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate | 5.757884 | 9.323828 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 5.757884 | 9.323828 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 5.757884 | 9.323828 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 5.080115 | 10.819190 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 5.080115 | 10.819190 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 5.080115 | 10.819190 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate_star | 5.097551 | 10.838935 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate | 4.910700 | 10.760383 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 4.910700 | 10.760383 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 4.910700 | 10.760383 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate_star | 5.096524 | 10.837642 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem oxygen silicate phosphate_star | 5.153075 | 10.910958 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (27.95,28.05] | sal tem silicate phosphate phosphate_star | 5.153075 | 10.910958 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 5.932727 | 9.452129 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 5.932727 | 9.452129 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 5.932727 | 9.452129 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | sal tem aou silicate phosphate_star | 6.097688 | 9.682803 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate | 6.026656 | 9.696145 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate phosphate_star | 6.026656 | 9.696145 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen phosphate_star | 6.026656 | 9.696145 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate | 5.936735 | 9.581538 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 5.936735 | 9.581538 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 5.936735 | 9.581538 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 4.579861 | 10.512589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 4.579861 | 10.512589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 4.579861 | 10.512589 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate | 4.580902 | 10.607558 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate phosphate_star | 4.580902 | 10.607558 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen phosphate_star | 4.580902 | 10.607558 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate | 4.520107 | 10.456843 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou oxygen silicate phosphate_star | 4.520107 | 10.456843 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou phosphate phosphate_star | 4.580902 | 10.607558 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.05,28.1] | tem aou silicate phosphate phosphate_star | 4.520107 | 10.456843 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate | 6.663145 | 10.124743 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 6.663145 | 10.124743 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 6.663145 | 10.124743 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou phosphate_star | 6.673542 | 10.144020 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem aou silicate phosphate_star | 6.665681 | 10.106483 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate | 6.667020 | 10.107218 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem oxygen silicate phosphate_star | 6.667020 | 10.107218 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem phosphate phosphate_star | 6.672915 | 10.145434 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate phosphate_star | 6.667020 | 10.107218 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.1,28.15] | sal tem silicate phosphate_star | 6.668588 | 10.115796 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate | 4.691997 | 11.355142 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou oxygen phosphate_star | 4.691997 | 11.355142 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou phosphate phosphate_star | 4.691997 | 11.355142 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem aou silicate phosphate_star | 4.744749 | 11.410431 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem oxygen silicate phosphate | 4.747359 | 11.414378 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem oxygen silicate phosphate_star | 4.747359 | 11.414378 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | sal tem silicate phosphate phosphate_star | 4.747359 | 11.414378 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen silicate phosphate | 4.688406 | 11.400335 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou oxygen silicate phosphate_star | 4.688406 | 11.400335 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.1,28.15] | tem aou silicate phosphate phosphate_star | 4.688406 | 11.400335 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate | 3.511607 | 6.995089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 3.511607 | 6.995089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal aou silicate phosphate phosphate_star | 3.511607 | 6.995089 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate | 3.510457 | 6.977408 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 3.510457 | 6.977408 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 3.510457 | 6.977408 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | sal tem aou silicate phosphate | 3.512351 | 6.983218 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou oxygen silicate phosphate | 3.522768 | 7.005775 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou oxygen silicate phosphate_star | 3.522768 | 7.005775 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.15,28.2] | tem aou silicate phosphate phosphate_star | 3.522768 | 7.005775 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate | 2.921850 | 6.433457 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou oxygen silicate phosphate_star | 2.921850 | 6.433457 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal aou silicate phosphate phosphate_star | 2.921850 | 6.433457 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate | 2.910935 | 6.421391 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou oxygen phosphate_star | 2.910935 | 6.421391 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate | 2.910953 | 6.445995 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou phosphate phosphate_star | 2.910935 | 6.421391 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem aou silicate phosphate | 2.904862 | 6.417213 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem oxygen silicate phosphate_star | 2.912668 | 6.459295 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.15,28.2] | sal tem silicate phosphate phosphate_star | 2.912668 | 6.459295 | 2000-2012 –> 2013-2019 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate | 3.025275 | 5.874495 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate phosphate_star | 3.025275 | 5.874495 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen phosphate_star | 3.025275 | 5.874495 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate | 3.020446 | 5.862070 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 3.020446 | 5.862070 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou phosphate phosphate_star | 3.025275 | 5.874495 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 3.020446 | 5.862070 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate | 3.022525 | 5.870430 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou oxygen phosphate_star | 3.022525 | 5.870430 | 1982-1999 –> 2000-2012 |
| Atlantic | 2000-2012 | (28.2, Inf] | sal tem aou phosphate phosphate_star | 3.022525 | 5.870430 | 1982-1999 –> 2000-2012 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate | 2.879999 | 5.900445 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou oxygen silicate phosphate_star | 2.879999 | 5.900445 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou silicate phosphate | 2.899498 | 5.920332 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal aou silicate phosphate phosphate_star | 2.879999 | 5.900445 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal oxygen silicate phosphate_star | 2.880994 | 5.920981 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal silicate phosphate phosphate_star | 2.880994 | 5.920981 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem aou silicate phosphate | 2.899236 | 5.919924 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem oxygen silicate phosphate | 2.880381 | 5.917298 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem oxygen silicate phosphate_star | 2.880381 | 5.917298 | 2000-2012 –> 2013-2019 |
| Atlantic | 2013-2019 | (28.2, Inf] | sal tem silicate phosphate phosphate_star | 2.880381 | 5.917298 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate | 6.380738 | 17.782951 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 6.380738 | 17.782951 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 6.380738 | 17.782951 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou phosphate phosphate_star | 6.769375 | 18.517168 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate | 6.497882 | 17.932440 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem aou silicate phosphate_star | 6.537234 | 17.989147 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate | 6.554278 | 18.012325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 6.554278 | 18.012325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 6.554278 | 18.012325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (-Inf,26] | sal tem silicate phosphate_star | 6.774534 | 18.372418 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate | 5.447504 | 11.828242 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou oxygen silicate phosphate_star | 5.447504 | 11.828242 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal aou silicate phosphate phosphate_star | 5.447504 | 11.828242 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate | 5.869605 | 12.638980 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou oxygen phosphate_star | 5.869605 | 12.638980 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate | 5.681893 | 12.179775 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem aou silicate phosphate_star | 5.750335 | 12.287569 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate | 5.793282 | 12.347560 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem oxygen silicate phosphate_star | 5.793282 | 12.347560 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (-Inf,26] | sal tem silicate phosphate phosphate_star | 5.793282 | 12.347560 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate | 4.747290 | 12.221872 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou oxygen silicate phosphate_star | 4.747290 | 12.221872 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal aou silicate phosphate phosphate_star | 4.747290 | 12.221872 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou oxygen phosphate | 4.966446 | 12.617685 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate | 4.761068 | 12.301034 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem aou silicate phosphate_star | 4.789457 | 12.363345 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate | 4.790904 | 12.366473 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.790904 | 12.366473 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.790904 | 12.366473 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26,26.5] | sal tem silicate phosphate_star | 4.811875 | 12.401899 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate | 3.954811 | 8.702101 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou oxygen silicate phosphate_star | 3.954811 | 8.702101 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal aou silicate phosphate phosphate_star | 3.954811 | 8.702101 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou phosphate phosphate_star | 4.313716 | 9.280162 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate | 4.052412 | 8.813480 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem aou silicate phosphate_star | 4.101477 | 8.890933 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate | 4.101108 | 8.892012 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem oxygen silicate phosphate_star | 4.101108 | 8.892012 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate phosphate_star | 4.101108 | 8.892012 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26,26.5] | sal tem silicate phosphate_star | 4.101752 | 8.913627 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate | 5.368081 | 11.068292 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 5.368081 | 11.068292 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen phosphate_star | 5.368081 | 11.068292 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate | 5.367518 | 10.996341 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 5.367518 | 10.996341 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou phosphate phosphate_star | 5.368081 | 11.068292 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 5.367518 | 10.996341 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate | 5.367244 | 11.067406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 5.367244 | 11.067406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 5.367244 | 11.067406 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate | 4.666251 | 10.034332 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate phosphate_star | 4.666251 | 10.034332 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen phosphate_star | 4.666251 | 10.034332 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate | 4.591217 | 9.958735 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou oxygen silicate phosphate_star | 4.591217 | 9.958735 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou phosphate phosphate_star | 4.666251 | 10.034332 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal aou silicate phosphate phosphate_star | 4.591217 | 9.958735 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate | 4.651174 | 10.018418 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou oxygen phosphate_star | 4.651174 | 10.018418 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.5,26.75] | sal tem aou phosphate phosphate_star | 4.651174 | 10.018418 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate | 5.013108 | 11.356274 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou oxygen phosphate_star | 5.013108 | 11.356274 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | sal tem aou phosphate phosphate_star | 5.013108 | 11.356274 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate | 5.019334 | 11.362542 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate phosphate_star | 5.019334 | 11.362542 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen phosphate_star | 5.019334 | 11.362542 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate | 4.988531 | 11.308577 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou oxygen silicate phosphate_star | 4.988531 | 11.308577 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou phosphate phosphate_star | 5.019334 | 11.362542 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (26.75,27] | tem aou silicate phosphate phosphate_star | 4.988531 | 11.308577 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate | 4.317585 | 9.330693 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou oxygen phosphate_star | 4.317585 | 9.330693 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | sal tem aou phosphate phosphate_star | 4.317585 | 9.330693 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate | 4.326293 | 9.345627 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate phosphate_star | 4.326293 | 9.345627 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen phosphate_star | 4.326293 | 9.345627 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate | 4.310810 | 9.299341 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou oxygen silicate phosphate_star | 4.310810 | 9.299341 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou phosphate phosphate_star | 4.326293 | 9.345627 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (26.75,27] | tem aou silicate phosphate phosphate_star | 4.310810 | 9.299341 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal aou oxygen silicate phosphate | 4.779328 | 10.951353 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.779328 | 10.951353 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal aou silicate phosphate phosphate_star | 4.779328 | 10.951353 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate | 4.755452 | 10.793657 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.755452 | 10.793657 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.755452 | 10.793657 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate | 4.700012 | 10.656060 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.700012 | 10.656060 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou phosphate phosphate_star | 4.885953 | 10.989240 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.700012 | 10.656060 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate | 4.159764 | 8.939092 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou oxygen silicate phosphate_star | 4.159764 | 8.939092 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal aou silicate phosphate phosphate_star | 4.159764 | 8.939092 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate | 4.170923 | 8.926375 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou oxygen phosphate_star | 4.170923 | 8.926375 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou phosphate phosphate_star | 4.170923 | 8.926375 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | sal tem aou silicate phosphate | 4.175477 | 8.962404 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate | 4.084458 | 8.784470 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou oxygen silicate phosphate_star | 4.084458 | 8.784470 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27,27.25] | tem aou silicate phosphate phosphate_star | 4.084458 | 8.784470 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate | 4.315549 | 9.149888 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou oxygen phosphate_star | 4.315549 | 9.149888 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | sal tem aou phosphate phosphate_star | 4.315549 | 9.149888 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate | 4.353361 | 9.205660 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate phosphate_star | 4.353361 | 9.205660 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen phosphate_star | 4.353361 | 9.205660 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate | 4.107583 | 8.907508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 4.107583 | 8.907508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou phosphate phosphate_star | 4.353361 | 9.205660 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.25,27.5] | tem aou silicate phosphate phosphate_star | 4.107583 | 8.907508 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate | 3.271593 | 7.503731 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou oxygen silicate phosphate_star | 3.271593 | 7.503731 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate | 3.305317 | 7.598624 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal aou silicate phosphate phosphate_star | 3.271593 | 7.503731 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate | 3.275469 | 7.536069 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem aou silicate phosphate_star | 3.283628 | 7.590294 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate | 3.281967 | 7.579237 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem oxygen silicate phosphate_star | 3.281967 | 7.579237 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | sal tem silicate phosphate phosphate_star | 3.281967 | 7.579237 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.25,27.5] | tem aou oxygen silicate phosphate_star | 3.575791 | 7.683374 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate | 3.808884 | 8.519981 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 3.808884 | 8.519981 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 3.808884 | 8.519981 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate | 4.023106 | 8.501704 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou oxygen phosphate_star | 4.023106 | 8.501704 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | sal tem aou phosphate phosphate_star | 4.023106 | 8.501704 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen phosphate_star | 4.091653 | 8.570266 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate | 4.020120 | 8.481500 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou oxygen silicate phosphate_star | 4.020120 | 8.481500 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.5,27.75] | tem aou silicate phosphate phosphate_star | 4.020120 | 8.481500 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate | 2.976966 | 6.785851 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou oxygen silicate phosphate_star | 2.976966 | 6.785851 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate | 3.118188 | 7.101918 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal aou silicate phosphate phosphate_star | 2.976966 | 6.785851 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate | 2.975468 | 6.782430 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem aou silicate phosphate_star | 2.974870 | 6.790740 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate | 2.974898 | 6.789686 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem oxygen silicate phosphate_star | 2.974898 | 6.789686 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate phosphate_star | 2.974898 | 6.789686 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.5,27.75] | sal tem silicate phosphate_star | 3.072401 | 6.919677 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou oxygen phosphate | 3.369300 | 7.475999 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou oxygen phosphate_star | 3.369300 | 7.475999 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | sal tem aou phosphate phosphate_star | 3.369300 | 7.475999 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate | 3.369953 | 7.483891 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate phosphate_star | 3.369953 | 7.483891 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen phosphate_star | 3.369953 | 7.483891 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate | 3.311769 | 7.425662 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 3.311769 | 7.425662 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou phosphate phosphate_star | 3.369953 | 7.483891 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 3.311769 | 7.425662 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate | 2.877623 | 6.234797 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem aou silicate phosphate_star | 2.866905 | 6.202719 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate | 2.866945 | 6.201309 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem oxygen silicate phosphate_star | 2.866945 | 6.201309 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate phosphate_star | 2.866945 | 6.201309 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | sal tem silicate phosphate_star | 2.866984 | 6.227355 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate | 2.908156 | 6.219925 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou oxygen silicate phosphate_star | 2.908156 | 6.219925 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem aou silicate phosphate phosphate_star | 2.908156 | 6.219925 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.75,27.85] | tem silicate phosphate phosphate_star | 2.919204 | 6.258375 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate | 3.021015 | 7.318882 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate phosphate_star | 3.021015 | 7.318882 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou oxygen silicate phosphate_star | 3.021015 | 7.318882 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | aou silicate phosphate phosphate_star | 3.021015 | 7.318882 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate | 3.020889 | 7.317589 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou oxygen silicate phosphate_star | 3.020889 | 7.317589 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | sal aou silicate phosphate phosphate_star | 3.020889 | 7.317589 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate | 3.016136 | 7.313987 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 3.016136 | 7.313987 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 3.016136 | 7.313987 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate | 2.866636 | 5.883561 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem aou silicate phosphate_star | 2.859157 | 5.882831 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate | 2.859122 | 5.883694 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem oxygen silicate phosphate_star | 2.859122 | 5.883694 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate phosphate_star | 2.859122 | 5.883694 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | sal tem silicate phosphate_star | 2.859236 | 5.904011 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate | 2.884432 | 5.900568 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou oxygen silicate phosphate_star | 2.884432 | 5.900568 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou silicate phosphate | 2.886803 | 5.903731 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.85,27.95] | tem aou silicate phosphate phosphate_star | 2.884432 | 5.900568 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate | 2.882679 | 7.140973 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate phosphate_star | 2.882679 | 7.140973 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen phosphate_star | 2.882679 | 7.140973 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate | 2.861233 | 7.117895 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 2.861233 | 7.117895 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou phosphate phosphate_star | 2.882679 | 7.140973 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 2.861233 | 7.117895 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate | 2.875848 | 7.127321 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 2.875848 | 7.127321 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 2.875848 | 7.127321 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate | 3.058494 | 5.919727 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou oxygen silicate phosphate_star | 3.058494 | 5.919727 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal aou silicate phosphate phosphate_star | 3.058494 | 5.919727 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate | 3.085267 | 5.961115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou oxygen phosphate_star | 3.085267 | 5.961115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou phosphate phosphate_star | 3.085267 | 5.961115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | sal tem aou silicate phosphate | 3.046597 | 5.934411 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate | 3.088750 | 5.960152 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou oxygen silicate phosphate_star | 3.088750 | 5.960152 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (27.95,28.05] | tem aou silicate phosphate phosphate_star | 3.088750 | 5.960152 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate | 2.847249 | 6.907571 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.847249 | 6.907571 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.847249 | 6.907571 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.829857 | 6.881515 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.829857 | 6.881515 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou phosphate phosphate_star | 2.847249 | 6.907571 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.829857 | 6.881515 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.845283 | 6.898219 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.845283 | 6.898219 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.845283 | 6.898219 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate | 2.818548 | 5.665798 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate phosphate_star | 2.818548 | 5.665798 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen phosphate_star | 2.818548 | 5.665798 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate | 2.816686 | 5.646543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou oxygen silicate phosphate_star | 2.816686 | 5.646543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou phosphate phosphate_star | 2.818548 | 5.665798 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal aou silicate phosphate phosphate_star | 2.816686 | 5.646543 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate | 2.809159 | 5.654442 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou oxygen phosphate_star | 2.809159 | 5.654442 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.05,28.1] | sal tem aou phosphate phosphate_star | 2.809159 | 5.654442 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate | 3.119973 | 6.936325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 3.119973 | 6.936325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou oxygen silicate phosphate_star | 3.119973 | 6.936325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | aou silicate phosphate phosphate_star | 3.119973 | 6.936325 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate | 3.118818 | 6.915991 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 3.118818 | 6.915991 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 3.118818 | 6.915991 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate | 3.067165 | 6.835024 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 3.067165 | 6.835024 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2000-2012 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 3.067165 | 6.835024 | 1982-1999 –> 2000-2012 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate | 2.697142 | 5.817115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate phosphate_star | 2.697142 | 5.817115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou oxygen silicate phosphate_star | 2.697142 | 5.817115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | aou silicate phosphate phosphate_star | 2.697142 | 5.817115 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate | 2.608795 | 5.727613 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou oxygen silicate phosphate_star | 2.608795 | 5.727613 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | sal aou silicate phosphate phosphate_star | 2.608795 | 5.727613 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate | 2.650775 | 5.717940 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou oxygen silicate phosphate_star | 2.650775 | 5.717940 | 2000-2012 –> 2013-2019 |
| Indo-Pacific | 2013-2019 | (28.1, Inf] | tem aou silicate phosphate phosphate_star | 2.650775 | 5.717940 | 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] | 14 | 12 | 12 | 12 | 20 | 16 | 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 | 10 | 14 | 20 | 10 | 20 |
| (27,27.25] | 10 | 10 | 10 | 16 | 8 | 20 | 20 |
| (27.25,27.5] | 8 | 14 | 12 | 14 | 20 | 8 | 20 |
| (27.5,27.75] | 14 | 12 | 14 | 12 | 14 | 20 | 14 |
| (27.75,27.85] | 10 | 12 | 16 | 10 | 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 | 12 | 14 | 8 | 8 | 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 | 196.00 | 162.00 | 172.00 | 188.00 | 224.00 | 192.00 | 218.00 |
| 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 | 12 | 12 | 14 | 14 | 14 | 20 |
| (26.75,27] | 12 | 10 | 12 | 12 | 10 | 20 | 20 |
| (27,27.25] | 14 | 12 | 12 | 12 | 14 | 20 | 16 |
| (27.25,27.5] | 14 | 12 | 14 | 12 | 14 | 20 | 14 |
| (27.5,27.75] | 14 | 10 | 14 | 12 | 14 | 20 | 16 |
| (27.75,27.85] | 16 | 12 | 12 | 12 | 14 | 20 | 14 |
| (27.85,27.95] | 12 | 8 | 12 | 12 | 20 | 20 | 12 |
| (27.95,28.05] | 16 | 10 | 10 | 16 | 20 | 14 | 12 |
| (28.05,28.1] | 20 | 14 | 14 | 14 | 6 | 6 | 20 |
| (28.1,28.15] | 14 | 12 | 12 | 14 | 14 | 14 | 20 |
| (28.15,28.2] | 16 | 10 | 14 | 12 | 20 | 12 | 14 |
| (28.2, Inf] | 10 | 10 | 14 | 12 | 20 | 20 | 8 |
| total | 208.00 | 158.00 | 178.00 | 180.00 | 206.00 | 220.00 | 220.00 |
| 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 | 12 | 14 | 14 | 12 | 12 | 14 |
| (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] | 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 | 156.00 | 162.00 | 166.00 | 154.00 | 136.00 | 146.00 |
| Indo-Pacific - 2000-2012 --> 2013-2019 | |||||||
| (-Inf,26] | 14 | 12 | 12 | 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 | 12 | 12 | 20 | 20 |
| (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 | 134.00 | 156.00 | 156.00 | 182.00 | 180.00 | 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] nlme_3.1-150 fs_1.5.0 webshot_0.5.2
[4] RColorBrewer_1.1-2 httr_1.4.2 rprojroot_2.0.2
[7] tools_4.0.3 backports_1.1.10 R6_2.5.0
[10] mgcv_1.8-33 nortest_1.0-4 DBI_1.1.0
[13] colorspace_2.0-0 withr_2.3.0 gridExtra_2.3
[16] tidyselect_1.1.0 curl_4.3 compiler_4.0.3
[19] git2r_0.27.1 cli_2.2.0 rvest_0.3.6
[22] xml2_1.3.2 sass_0.2.0 labeling_0.4.2
[25] scales_1.1.1 checkmate_2.0.0 goftest_1.2-2
[28] digest_0.6.27 foreign_0.8-80 rmarkdown_2.5
[31] rio_0.5.16 pkgconfig_2.0.3 htmltools_0.5.0
[34] highr_0.8 dbplyr_1.4.4 rlang_0.4.9
[37] readxl_1.3.1 rstudioapi_0.13 farver_2.0.3
[40] generics_0.0.2 jsonlite_1.7.1 zip_2.1.1
[43] car_3.0-10 magrittr_2.0.1 Matrix_1.2-18
[46] Rcpp_1.0.5 munsell_0.5.0 fansi_0.4.1
[49] abind_1.4-5 lifecycle_0.2.0 stringi_1.5.3
[52] whisker_0.4 yaml_2.2.1 carData_3.0-4
[55] plyr_1.8.6 grid_4.0.3 blob_1.2.1
[58] parallel_4.0.3 promises_1.1.1 crayon_1.3.4
[61] lattice_0.20-41 splines_4.0.3 haven_2.3.1
[64] hms_0.5.3 pillar_1.4.7 reprex_0.3.0
[67] glue_1.4.2 evaluate_0.14 RcppArmadillo_0.10.1.2.0
[70] data.table_1.13.2 modelr_0.1.8 vctrs_0.3.5
[73] httpuv_1.5.4 cellranger_1.1.0 gtable_0.3.0
[76] reshape_0.8.8 assertthat_0.2.1 xfun_0.18
[79] openxlsx_4.2.3 RcppEigen_0.3.3.7.0 later_1.1.0.1
[82] viridisLite_0.3.0 ellipsis_0.3.1 here_0.1