Last updated: 2020-08-18

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Rmd	ceb438a	jens-daniel-mueller	2020-08-07	rebuild with Gruber Cant
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Rmd	bafc589	jens-daniel-mueller	2020-08-04	tested identical rmse output, which seems correct
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Rmd	f8f8b17	jens-daniel-mueller	2020-08-03	corrections to eMLR fit and cleaning
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Rmd	2b887d4	jens-daniel-mueller	2020-07-31	separate basin corr plots
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Rmd	5ee70b2	jens-daniel-mueller	2020-07-31	formatting
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Rmd	3938c9c	jens-daniel-mueller	2020-07-30	chunk labels changed
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Rmd	2bc1628	jens-daniel-mueller	2020-07-30	correlation table and plot update
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Rmd	85c758f	jens-daniel-mueller	2020-07-30	PO4* calculation based on oxygen, correlation tables added, formating
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Rmd	cb5074e	jens-daniel-mueller	2020-07-29	subset Cant to GLODAP before merging
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Rmd	5dce915	jens-daniel-mueller	2020-07-28	fit top 10 models
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Rmd	12f9ef2	jens-daniel-mueller	2020-07-24	started neutral density calculation
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html	61a1a48	jens-daniel-mueller	2020-07-24	Build site.
Rmd	864a6e3	jens-daniel-mueller	2020-07-24	merged predictor data sets
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Rmd	4a8deb2	jens-daniel-mueller	2020-07-24	corrected false to FALSE
html	2df2065	jens-daniel-mueller	2020-07-23	Build site.
Rmd	fa350cf	jens-daniel-mueller	2020-07-23	predictor correlation plots, bin2d map plots
html	9d1d67d	jens-daniel-mueller	2020-07-23	Build site.
Rmd	3b6658b	jens-daniel-mueller	2020-07-23	predictor correlation plots, bin2d map plots
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Rmd	26bdc0a	jens-daniel-mueller	2020-07-23	new era label, predictor correlation check started
html	556e6cc	jens-daniel-mueller	2020-07-23	Build site.
Rmd	1ce10e7	jens-daniel-mueller	2020-07-23	read full GLODAP Cant data set rather than joining again
Rmd	0cb3db2	jens-daniel-mueller	2020-07-23	started MLR fitting
Rmd	cf8bc74	jens-daniel-mueller	2020-07-23	started MLR fitting
Rmd	0252675	jens-daniel-mueller	2020-07-23	modeling started
html	fdfa7b9	jens-daniel-mueller	2020-07-22	Build site.
Rmd	6416150	jens-daniel-mueller	2020-07-22	cut gamma into slabs
html	0cecfbf	jens-daniel-mueller	2020-07-22	Build site.
Rmd	48cf01f	jens-daniel-mueller	2020-07-22	defined isoneutral slabs
Rmd	32ed280	jens-daniel-mueller	2020-07-22	sign in Cstar delta plot
html	44334f8	jens-daniel-mueller	2020-07-22	Build site.
Rmd	c398496	jens-daniel-mueller	2020-07-22	plot update
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Rmd	4b81f16	jens-daniel-mueller	2020-07-22	plot update
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Rmd	09b3ca8	jens-daniel-mueller	2020-07-22	eding plain text, restructuring some code
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Rmd	77c9642	jens-daniel-mueller	2020-07-22	formatted plots
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Rmd	8a49adf	jens-daniel-mueller	2020-07-22	adjustment to reference year implemented
html	bb9c002	jens-daniel-mueller	2020-07-21	Build site.
Rmd	d2ed0f8	jens-daniel-mueller	2020-07-21	harmonied lat lon labeling
html	e1488e6	jens-daniel-mueller	2020-07-19	Build site.
Rmd	e688d6e	jens-daniel-mueller	2020-07-19	formating
html	f7ea007	jens-daniel-mueller	2020-07-19	Build site.
Rmd	0992256	jens-daniel-mueller	2020-07-19	plotted individual Cstar terms
html	22b588c	jens-daniel-mueller	2020-07-18	Build site.
html	fdfe5a0	jens-daniel-mueller	2020-07-17	Build site.
Rmd	f7485c6	jens-daniel-mueller	2020-07-17	re run als emlr
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html	1c511ce	jens-daniel-mueller	2020-07-14	Build site.
Rmd	e03016e	jens-daniel-mueller	2020-07-14	split read in per data set
html	45ed0ea	jens-daniel-mueller	2020-07-14	Build site.
Rmd	dc1c56e	jens-daniel-mueller	2020-07-14	tref calculated
html	b1ece68	jens-daniel-mueller	2020-07-13	Build site.
Rmd	8eb1b22	jens-daniel-mueller	2020-07-13	cleaned data base file
Rmd	9e8f7f1	jens-daniel-mueller	2020-07-13	untracked changes
html	79312b2	jens-daniel-mueller	2020-07-13	Build site.
Rmd	ffbc2a1	jens-daniel-mueller	2020-07-13	added Cstar calculation
html	090cfeb	jens-daniel-mueller	2020-07-13	Build site.
Rmd	e6a2ade	jens-daniel-mueller	2020-07-13	added Cstar calculation

library(tidyverse)
library(lubridate)
library(patchwork)
library(GGally)
library(olsrr)
library(knitr)
library(kableExtra)
library(broom)
library(corrr)

1 Required data

Required are:

GLODAPv2.2020
- cleaned data file
- horizontal grid of sampling coordinates
Cant from GLODAPv2_2016b_MappedClimatologies
annual mean atmospheric pCO₂

GLODAP <-
  read_csv(
    here::here(
      "data/GLODAPv2_2020/_summarized_data_files",
      "GLODAPv2.2020_clean.csv"
    )
  )

GLODAP_obs_grid <-
  read_csv(
    here::here(
      "data/GLODAPv2_2020/_summarized_data_files",
      "GLODAPv2.2020_clean_obs_grid.csv"
    )
  )

# Cant_clim <-
#   read_csv(here::here("data/GLODAPv1_1/_summarized_files",
#                       "Cant_94.csv"))

Cant_clim <-
  read_csv(
    here::here(
      "data/GLODAPv2_2016b_MappedClimatologies/_summarized_files",
      "Cant.csv"
    )
  )

co2_atm <-
  read_csv(here::here(
    "data/pCO2_atmosphere/_summarized_data_files",
    "co2_atm.csv"
  ))

Cant_clim <- Cant_clim %>%
  rename(cant = Cant)

2 C*

C* serves as a conservative tracer of anthropogenic CO₂ uptake. It is derived from measured DIC by removing the impact of

organic matter formation and respiration
calcification and calcium carbonate dissolution

Contributions of those processes are estimated from phosphate and alkalinity concentrations.

2.1 Stoichiometric ratios

rCP <- 117
rNP <- 16

The stoichiometric nutrient ratios for the production and mineralization of organic matter were set to:

C/P: 117
N/P: 16

2.2 Calculation

C* is calculated as:

print("Cstar = tco2  + rCP_phosphate  + talk_05  + rNP_phosphate_05")

[1] "Cstar = tco2  + rCP_phosphate  + talk_05  + rNP_phosphate_05"

GLODAP <- GLODAP %>% 
  mutate(rCP_phosphate = -rCP * phosphate,
         talk_05 = -0.5 * talk,
         rNP_phosphate_05 = -0.5 * rNP * phosphate,
         Cstar = tco2  + rCP_phosphate  + talk_05  + rNP_phosphate_05)

rm(rCP, rNP)

3 PO₄* calculation

Currently, the predictor PO₄* is calculated according to Clement and Gruber (2018), ie based on oxygen rather than nitrate, as claimed in Gruber et al (2019).

GLODAP <- GLODAP %>% 
  mutate(phosphate_star_oxy = phosphate + (oxygen / 170)  - 1.95)

GLODAP <- GLODAP %>% 
  mutate(phosphate_star_nit = phosphate - nitrate/16  + 2.9)

GLODAP %>% 
  ggplot(aes(phosphate_star_oxy, phosphate_star_nit)) +
  geom_bin2d() +
  scale_fill_viridis_c() +
  facet_wrap(~basin)

GLODAP <- GLODAP %>% 
  select(-phosphate_star_nit) %>% 
  rename(phosphate_star = phosphate_star_oxy)

4 Reference year adjustment

The reference year adjustment relies on an apriori estimate of Cant at a given location and depth, which is used as a scaling factor for the concurrent change in atmospheric CO₂. The underlying assumption is a transient steady state for the oceanic Cant uptake. Here, Cant from the GLODAP mapped Climatology was used.

Note that eq. 6 in Clement and Gruber (2018) misses pCO₂ pre-industrial in the denominator. Here we use the equation published in Gruber et al. (2019).

4.1 Merge data sets

4.1.1 GLODAP + Cant

Cant_clim <- Cant_clim %>% 
  drop_na()

Cant_clim_obs <- left_join(GLODAP_obs_grid, Cant_clim) %>% 
  select(-n)

# Cant_clim_obs_nr <- Cant_clim_obs %>%
#   group_by(lon, lat) %>%
#   summarise(n_cant = n()) %>%
#   ungroup()

# Cant_clim_obs %>% 
#   filter(n < 1) %>% 
#   ggplot(aes(lon,lat)) +
#   geom_point(data = GLODAP_obs_grid, aes(lon, lat)) +
#   geom_point(col = "red")

rm(Cant_clim, GLODAP_obs_grid)

GLODAP_Cant_obs <- full_join(GLODAP, Cant_clim_obs)

rm(GLODAP, Cant_clim_obs)

The mapped Cant product was merged with GLODAP observation by:

using an identical 1x1° horizontal grid
linear interpolation of Cant from standard to sampling depth

# GLODAP_Cant_obs <- full_join(GLODAP_Cant_obs, Cant_clim_obs_nr)

GLODAP_Cant_obs <- GLODAP_Cant_obs %>%
  # filter(n_cant > 1) %>% 
  group_by(lat, lon) %>%
  arrange(depth) %>%
  mutate(cant_int = approxfun(depth, cant, rule = 2)(depth)) %>%
  ungroup()

# GLODAP_Cant_obs_set <- GLODAP_Cant_obs %>%
#   filter(n_cant == 1) %>% 
#   group_by(lat, lon) %>%
#   arrange(depth) %>%
#   mutate(cant_int = mean(cant, na.rm = TRUE)) %>%
#   ungroup()

ggplot() +
  geom_path(
    data = GLODAP_Cant_obs %>%
      filter(lat == 48.5, lon == 165.5,!is.na(cant)) %>%
      arrange(depth),
    aes(cant, depth, col = "mapped")
  ) +
  geom_point(
    data = GLODAP_Cant_obs %>%
      filter(lat == 48.5, lon == 165.5,!is.na(cant)) %>%
      arrange(depth),
    aes(cant, depth, col = "mapped")
  ) +
  geom_point(
    data = GLODAP_Cant_obs %>%
      filter(lat == 48.5, lon == 165.5, date == ymd("2018-06-27")),
    aes(cant_int, depth, col = "interpolated")
  ) +
  scale_y_reverse() +
  scale_color_brewer(palette = "Dark2", name = "") +
  labs(title = "Cant interpolation to sampling depth - example profile")

# remove cant data at grid cells without observations

GLODAP <- GLODAP_Cant_obs %>%
  filter(!is.na(Cstar)) %>%
  mutate(cant = cant_int) %>%
  select(-cant_int)

rm(GLODAP_Cant_obs)

4.1.2 GLODAP + atm. pCO₂

GLODAP observations were merged with mean annual atmospheric pCO₂ levels by year.

GLODAP <- left_join(GLODAP, co2_atm)

4.2 Calculate adjustment

GLODAP <- GLODAP %>% 
  group_by(era) %>% 
  mutate(tref = median(year)) %>% 
  ungroup()

tref <- GLODAP %>% 
  group_by(era) %>% 
  summarise(year = median(year)) %>% 
  ungroup()

co2_atm_tref <- right_join(co2_atm, tref) %>% 
  select(-year) %>% 
  rename(pCO2_tref = pCO2)

GLODAP <- full_join(GLODAP, co2_atm_tref)

rm(co2_atm, co2_atm_tref, tref)

GLODAP <- GLODAP %>% 
  mutate(Cstar_tref_delta = 
           ((pCO2 - pCO2_tref) / (pCO2_tref - 280)) * cant,
         Cstar_tref = Cstar - Cstar_tref_delta)

4.3 Control plots

4.3.1 Histogram

GLODAP %>% 
  ggplot(aes(Cstar_tref_delta)) +
  geom_histogram()

4.3.2 Time series

GLODAP %>% 
  sample_n(1e4) %>% 
  ggplot(aes(year, Cstar_tref_delta, col = cant)) +
  geom_point() +
  scale_color_viridis_c() +
  labs(title = "random subsample 1e4")

5 Selected section plots

A selected section is plotted to demonstrate the magnitude of various parameters and corrections relevant to C*.

GLODAP_cruise <- GLODAP %>% 
  filter(cruise %in% parameters$cruises_meridional)

GLODAP_cruise %>%
  arrange(date) %>% 
  ggplot(aes(lon, lat)) +
  geom_raster(data = landmask %>% filter(region == "land"),
              aes(lon, lat), fill = "grey80") +
  geom_path() +
  geom_point(aes(col = date)) +
  coord_quickmap(expand = 0) +
  scale_color_viridis_c(trans = "date") +
  labs(title = paste("Cruise year:", mean(GLODAP_cruise$year))) +
  theme(legend.position = "bottom")

lat_section <- 
GLODAP_cruise %>%
  ggplot(aes(lat, depth)) +
  scale_y_reverse() +
  scale_color_viridis_c() +
  theme(legend.position = "bottom")

lat_section +
  geom_point(aes(col = tco2))

lat_section +
  geom_point(aes(col = talk))

lat_section +
  geom_point(aes(col = phosphate))

lat_section +
  geom_point(aes(col = rCP_phosphate))

lat_section +
  geom_point(aes(col = talk_05))

lat_section +
  geom_point(aes(col = rNP_phosphate_05))

lat_section +
  geom_point(aes(col = Cstar))

lat_section +
  geom_point(aes(col = cant))

lat_section +
  geom_point(aes(col = -Cstar_tref_delta))

rm(lat_section, GLODAP_cruise)

6 MLR

6.1 Isoneutral slabs

The following boundaries for isoneutral slabs were defined:

Atlantic: -Inf, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1, 28.15, 28.2, Inf
Indo-Pacific: -Inf, 26, 26.5, 26.75, 27, 27.25, 27.5, 27.75, 27.85, 27.95, 28.05, 28.1, Inf

Continuous neutral densities (gamma) values from GLODAP are grouped into isoneutral slabs.

GLODAP_Atl <- GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  mutate(gamma_slab = cut(gamma, slabs_Atl))

GLODAP_Ind_Pac <- GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  mutate(gamma_slab = cut(gamma, slabs_Ind_Pac))

GLODAP <- bind_rows(GLODAP_Atl, GLODAP_Ind_Pac)

rm(GLODAP_Atl, GLODAP_Ind_Pac, slabs_Atl, slabs_Ind_Pac)

GLODAP_cruise <- GLODAP %>% 
  filter(cruise %in% parameters$cruises_meridional)

lat_section <- 
GLODAP_cruise %>%
  ggplot(aes(lat, depth)) +
  scale_y_reverse() +
  theme(legend.position = "bottom")

lat_section +
  geom_point(aes(col = gamma)) +
  scale_color_viridis_c()

lat_section +
  geom_point(aes(col = gamma_slab)) +
  scale_color_viridis_d()

rm(lat_section, GLODAP_cruise)

GLODAP_cruise <- GLODAP %>% 
  filter(cruise %in% parameters$cruises_meridional)

library(oce)
GLODAP_cruise <- GLODAP_cruise %>% 
  mutate(THETA = swTheta(salinity = sal,
                         temperature = tem,
                         pressure = depth,
                         referencePressure = 0,
                         longitude = lon-180,
                         latitude = lat))

GLODAP_cruise <- GLODAP_cruise %>% 
  rename(LATITUDE = lat,
         LONGITUDE = lon,
         SALNTY = sal,
         CTDPRS = depth,
         gamma_provided = gamma)

library(reticulate)
source_python(here::here("code/python_scripts",
                         "Gamma_GLODAP_python.py"))

GLODAP_cruise <- calculate_gamma(GLODAP_cruise)

GLODAP_cruise <- GLODAP_cruise %>% 
  mutate(gamma_delta = gamma_provided - GAMMA)

lat_section <- 
GLODAP_cruise %>%
  ggplot(aes(LATITUDE, CTDPRS)) +
  scale_y_reverse() +
  theme(legend.position = "bottom")

lat_section +
  geom_point(aes(col = gamma_delta)) +
  scale_color_viridis_c()

GLODAP_cruise %>% 
  ggplot(aes(gamma_delta))+
  geom_histogram()

rm(lat_section, GLODAP_cruise, cruises_meridional)

6.1.1 Observations coverage

GLODAP <- GLODAP %>% 
  mutate(era = factor(era, c("JGOFS_WOCE", "GO_SHIP", "new_era"))) %>%
  mutate(gamma_slab = factor(gamma_slab), 
         gamma_slab = factor(gamma_slab, levels = rev(levels(gamma_slab))))

GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  ggplot(aes(lat, gamma_slab)) +
  geom_bin2d(binwidth = 5) +
  scale_fill_viridis_c(option = "magma", direction = -1, trans = "log10",
                       name = "log10(n)") +
  scale_x_continuous(breaks = seq(-100,100,20)) +
  facet_grid(era~basin)

GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  ggplot(aes(lat, gamma_slab)) +
  geom_bin2d(binwidth = 5) +
  scale_fill_viridis_c(option = "magma", direction = -1, trans = "log10",
                       name = "log10(n)") +
  scale_x_continuous(breaks = seq(-100,100,20)) +
  facet_grid(era~basin)

6.2 Predictor correlation

The correlation between:

pairs of seven potential predictor variables and
C* and seven potential predictor variables

were investigated based on:

property-property plots and
calculated correlation coeffcients.

6.2.1 Correlation plots

For an overview, a random subset of data from all eras was plotted separately for both basins, with color indicating neutral density slabs (high density = dark-purple color).

GLODAP %>% 
  filter(basin == "Atlantic") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("Cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin: Atlantic | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Atlantic"))))

GLODAP %>% 
  filter(basin == "Indo-Pacific") %>% 
  sample_frac(0.05) %>% 
  ggpairs(columns = c("Cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          upper = "blank",
          ggplot2::aes(col = gamma_slab, fill = gamma_slab, alpha = 0.01)) +
      scale_fill_viridis_d(direction = -1) +
      scale_color_viridis_d(direction = -1) +
      labs(title = paste("Basin: Indo-Pacific | era: all | subsample size: 5 % of",
                         nrow(GLODAP %>% filter(basin == "Indo-Pacific") )))

Individual correlation plots for each basin, era and neutral density (gamma) slab are available here.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {

# i_basin <- unique(GLODAP$basin)[1]
# i_era   <- unique(GLODAP$era)[1]

print(i_basin)
print(i_era)

GLODAP_basin_era <- GLODAP %>% 
  filter(basin == i_basin,
         era == i_era)

for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
  
  # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
  print(i_gamma_slab)
  
  GLODAP_highlight <- GLODAP_basin_era %>% 
  mutate(gamma_highlight = if_else(gamma_slab == i_gamma_slab,
                                   "in", "out")) %>%
    arrange(desc(gamma_highlight))
  
p <- GLODAP_highlight %>% 
  ggpairs(columns = c("Cstar",
                      "sal",
                      "tem",
                      "aou",
                      "oxygen",
                      "silicate",
                      "phosphate",
                      "phosphate_star"),
          ggplot2::aes(col = gamma_highlight, fill = gamma_highlight, alpha = 0.01)) +
      scale_fill_manual( values = c("red", "grey")) +
      scale_color_manual(values = c("red", "grey")) +
      labs(title = paste(i_basin,
                         "|", i_era,
                         "| Gamma slab", i_gamma_slab,
                         "| # obs total", nrow(GLODAP_basin_era),
                         "| # obs slab", nrow(GLODAP_highlight %>% 
                                             filter(gamma_highlight == "in"))))
  

png(here::here("output/figure/eMLR/predictor_correlation",
               paste("predictor_correlation", i_basin, i_era, i_gamma_slab, ".png", sep = "_")),
    width = 12, height = 12, units = "in", res = 300)

print(p)

dev.off()
  
    }
  }
}

6.2.2 Correlation assesment

6.2.2.1 Calculation of correlation coeffcients

Correlation coefficients were calculated indivdually within each slabs, era and basin.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {

# i_basin <- unique(GLODAP$basin)[1]
# i_era   <- unique(GLODAP$era)[1]
print(i_basin)
print(i_era)

GLODAP_basin_era <- GLODAP %>% 
  filter(basin == i_basin,
         era == i_era) %>% 
  select(basin,
         era,
         gamma_slab,
         Cstar,
         sal,
         tem,
         aou,
         oxygen,
         silicate,
         phosphate,
         phosphate_star)

for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
  
  # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[5]
  print(i_gamma_slab)
  
  GLODAP_basin_era_slab <- GLODAP_basin_era %>%
    filter(gamma_slab == i_gamma_slab)

  cor_Cstar_predictor_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    focus(Cstar) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
  if (exists("cor_Cstar_predictor")) {
        cor_Cstar_predictor <- bind_rows(cor_Cstar_predictor, cor_Cstar_predictor_temp)
      }
      
    if (!exists("cor_Cstar_predictor")) {
        cor_Cstar_predictor <- cor_Cstar_predictor_temp
    }
  
  
  cor_predictors_temp <- GLODAP_basin_era_slab %>% 
    select(-c(basin, era, gamma_slab)) %>% 
    correlate() %>% 
    shave %>% 
    stretch() %>% 
    filter(!is.na(r),
           x != "Cstar",
           y != "Cstar") %>% 
    mutate(pair = paste(x, y, sep = " + ")) %>% 
    select(-c(x, y)) %>% 
    mutate(basin = i_basin,
       era = i_era,
       gamma_slab = i_gamma_slab)
  
    if (exists("cor_predictors")) {
        cor_predictors <- bind_rows(cor_predictors, cor_predictors_temp)
      }
      
    if (!exists("cor_predictors")) {
        cor_predictors <- cor_predictors_temp
    }
  
  
  
    }
  }
}


cor_predictors %>%
  write_csv(here::here("data/eMLR",
                       "cor_predictors.csv"))

cor_Cstar_predictor %>%
  write_csv(here::here("data/eMLR",
                       "cor_Cstar_predictor.csv"))

rm(cor_predictors_temp, cor_Cstar_predictor_temp,
   i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab)

6.2.2.2 Predictor pairs

Below, the range of correlations coefficients for each predictor pair is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_predictors <-
  read_csv(here::here("data/eMLR",
                       "cor_predictors.csv"))

cor_predictors_stats <- cor_predictors %>% 
  group_by(pair, basin, gamma_slab) %>% 
  summarise(mean_r = mean(r),
            min_r = min(r),
            max_r = max(r)) %>% 
  ungroup()

cor_predictors_stats %>% 
  mutate(pair = reorder(pair, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = pair, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "") +
  theme(legend.position = "top")

kable(cor_predictors_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

pair	basin	gamma_slab	mean_r	min_r	max_r
aou + oxygen	Atlantic	(-Inf,26]	-0.9181612	-0.9566141	-0.8863166
aou + oxygen	Atlantic	(26,26.5]	-0.9168222	-0.9409620	-0.8987570
aou + oxygen	Atlantic	(26.5,26.75]	-0.9652673	-0.9754904	-0.9501770
aou + oxygen	Atlantic	(26.75,27]	-0.9782180	-0.9856810	-0.9697365
aou + oxygen	Atlantic	(27,27.25]	-0.9744293	-0.9820587	-0.9637201
aou + oxygen	Atlantic	(27.25,27.5]	-0.9522776	-0.9608428	-0.9397143
aou + oxygen	Atlantic	(27.5,27.75]	-0.9303794	-0.9470832	-0.9028461
aou + oxygen	Atlantic	(27.75,27.85]	-0.9772131	-0.9786507	-0.9759298
aou + oxygen	Atlantic	(27.85,27.95]	-0.9893344	-0.9918342	-0.9873376
aou + oxygen	Atlantic	(27.95,28.05]	-0.9889256	-0.9926695	-0.9823756
aou + oxygen	Atlantic	(28.05,28.1]	-0.9893533	-0.9942939	-0.9813655
aou + oxygen	Atlantic	(28.1,28.15]	-0.9938055	-0.9945634	-0.9923620
aou + oxygen	Atlantic	(28.15,28.2]	-0.9981383	-0.9986039	-0.9974366
aou + oxygen	Atlantic	(28.2, Inf]	-0.9785520	-0.9837852	-0.9737943
aou + oxygen	Indo-Pacific	(-Inf,26]	-0.9236143	-0.9667488	-0.8972692
aou + oxygen	Indo-Pacific	(26,26.5]	-0.9808894	-0.9845577	-0.9738178
aou + oxygen	Indo-Pacific	(26.5,26.75]	-0.9853155	-0.9882411	-0.9820234
aou + oxygen	Indo-Pacific	(26.75,27]	-0.9839420	-0.9853368	-0.9830976
aou + oxygen	Indo-Pacific	(27,27.25]	-0.9886685	-0.9928849	-0.9803680
aou + oxygen	Indo-Pacific	(27.25,27.5]	-0.9912493	-0.9952739	-0.9836197
aou + oxygen	Indo-Pacific	(27.5,27.75]	-0.9925089	-0.9967320	-0.9850839
aou + oxygen	Indo-Pacific	(27.75,27.85]	-0.9959869	-0.9989585	-0.9919032
aou + oxygen	Indo-Pacific	(27.85,27.95]	-0.9967344	-0.9990057	-0.9944556
aou + oxygen	Indo-Pacific	(27.95,28.05]	-0.9951746	-0.9964353	-0.9934051
aou + oxygen	Indo-Pacific	(28.05,28.1]	-0.9956092	-0.9966147	-0.9946069
aou + oxygen	Indo-Pacific	(28.1, Inf]	-0.9908817	-0.9923555	-0.9887883
aou + phosphate	Atlantic	(-Inf,26]	0.6488368	0.5161554	0.7417322
aou + phosphate	Atlantic	(26,26.5]	0.7509904	0.5753655	0.9216757
aou + phosphate	Atlantic	(26.5,26.75]	0.8799344	0.8385999	0.9294296
aou + phosphate	Atlantic	(26.75,27]	0.8653866	0.8170427	0.8970329
aou + phosphate	Atlantic	(27,27.25]	0.7961680	0.6776659	0.8599479
aou + phosphate	Atlantic	(27.25,27.5]	0.7214986	0.6277934	0.8023489
aou + phosphate	Atlantic	(27.5,27.75]	0.8384476	0.7895234	0.8678536
aou + phosphate	Atlantic	(27.75,27.85]	0.9466782	0.9405605	0.9553219
aou + phosphate	Atlantic	(27.85,27.95]	0.9573251	0.9478591	0.9688590
aou + phosphate	Atlantic	(27.95,28.05]	0.9643270	0.9511925	0.9862507
aou + phosphate	Atlantic	(28.05,28.1]	0.9705710	0.9555563	0.9871036
aou + phosphate	Atlantic	(28.1,28.15]	0.9805780	0.9784785	0.9841974
aou + phosphate	Atlantic	(28.15,28.2]	0.9922852	0.9889823	0.9946912
aou + phosphate	Atlantic	(28.2, Inf]	0.8184560	0.7760113	0.8773826
aou + phosphate	Indo-Pacific	(-Inf,26]	0.9430311	0.9128374	0.9696641
aou + phosphate	Indo-Pacific	(26,26.5]	0.9553162	0.9491949	0.9640881
aou + phosphate	Indo-Pacific	(26.5,26.75]	0.9515877	0.9393080	0.9638471
aou + phosphate	Indo-Pacific	(26.75,27]	0.9505203	0.9459297	0.9539790
aou + phosphate	Indo-Pacific	(27,27.25]	0.9664795	0.9484998	0.9806798
aou + phosphate	Indo-Pacific	(27.25,27.5]	0.9709204	0.9520615	0.9803746
aou + phosphate	Indo-Pacific	(27.5,27.75]	0.9749164	0.9603843	0.9823181
aou + phosphate	Indo-Pacific	(27.75,27.85]	0.9822762	0.9736000	0.9883639
aou + phosphate	Indo-Pacific	(27.85,27.95]	0.9801007	0.9706154	0.9891580
aou + phosphate	Indo-Pacific	(27.95,28.05]	0.9675386	0.9569900	0.9761508
aou + phosphate	Indo-Pacific	(28.05,28.1]	0.9573078	0.9443355	0.9715225
aou + phosphate	Indo-Pacific	(28.1, Inf]	0.7805310	0.7289653	0.8296450
aou + phosphate_star	Atlantic	(-Inf,26]	-0.8923905	-0.9183924	-0.8772572
aou + phosphate_star	Atlantic	(26,26.5]	-0.8933367	-0.9384669	-0.8343264
aou + phosphate_star	Atlantic	(26.5,26.75]	-0.9492546	-0.9748982	-0.9362400
aou + phosphate_star	Atlantic	(26.75,27]	-0.9315267	-0.9493338	-0.9014717
aou + phosphate_star	Atlantic	(27,27.25]	-0.8647670	-0.9128106	-0.7698567
aou + phosphate_star	Atlantic	(27.25,27.5]	-0.7824957	-0.8505337	-0.6946999
aou + phosphate_star	Atlantic	(27.5,27.75]	-0.8623106	-0.8929301	-0.8168445
aou + phosphate_star	Atlantic	(27.75,27.85]	-0.9559132	-0.9597149	-0.9518413
aou + phosphate_star	Atlantic	(27.85,27.95]	-0.9618303	-0.9712720	-0.9520253
aou + phosphate_star	Atlantic	(27.95,28.05]	-0.9658849	-0.9857587	-0.9533034
aou + phosphate_star	Atlantic	(28.05,28.1]	-0.9737469	-0.9844808	-0.9608342
aou + phosphate_star	Atlantic	(28.1,28.15]	-0.9852890	-0.9886459	-0.9811148
aou + phosphate_star	Atlantic	(28.15,28.2]	-0.9920551	-0.9960114	-0.9883376
aou + phosphate_star	Atlantic	(28.2, Inf]	-0.8179057	-0.8785730	-0.7796276
aou + phosphate_star	Indo-Pacific	(-Inf,26]	-0.9215305	-0.9609277	-0.8846722
aou + phosphate_star	Indo-Pacific	(26,26.5]	-0.9062277	-0.9170201	-0.8982568
aou + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9168439	-0.9322594	-0.8962566
aou + phosphate_star	Indo-Pacific	(26.75,27]	-0.9396358	-0.9428877	-0.9350229
aou + phosphate_star	Indo-Pacific	(27,27.25]	-0.9461166	-0.9705723	-0.9005201
aou + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9421992	-0.9742031	-0.8784340
aou + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9495700	-0.9817387	-0.8930001
aou + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9702798	-0.9908660	-0.9392251
aou + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.9751755	-0.9916509	-0.9564150
aou + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.9618317	-0.9786594	-0.9435386
aou + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.9526787	-0.9739551	-0.9313490
aou + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.7844217	-0.8642836	-0.7212390
aou + silicate	Atlantic	(-Inf,26]	0.2654543	0.0884202	0.4145649
aou + silicate	Atlantic	(26,26.5]	0.6747329	0.5172910	0.8265329
aou + silicate	Atlantic	(26.5,26.75]	0.8953646	0.8608648	0.9291670
aou + silicate	Atlantic	(26.75,27]	0.8767545	0.8429220	0.9015240
aou + silicate	Atlantic	(27,27.25]	0.7587540	0.6532535	0.8355002
aou + silicate	Atlantic	(27.25,27.5]	0.5181865	0.4038500	0.6853791
aou + silicate	Atlantic	(27.5,27.75]	0.6086402	0.5720276	0.6699890
aou + silicate	Atlantic	(27.75,27.85]	0.8515955	0.8448051	0.8642328
aou + silicate	Atlantic	(27.85,27.95]	0.8977712	0.8893889	0.9121609
aou + silicate	Atlantic	(27.95,28.05]	0.9473367	0.9366867	0.9638062
aou + silicate	Atlantic	(28.05,28.1]	0.9710848	0.9618608	0.9826435
aou + silicate	Atlantic	(28.1,28.15]	0.9768582	0.9752126	0.9792466
aou + silicate	Atlantic	(28.15,28.2]	0.9911038	0.9862753	0.9955321
aou + silicate	Atlantic	(28.2, Inf]	0.8287733	0.7792842	0.8681030
aou + silicate	Indo-Pacific	(-Inf,26]	0.7341802	0.6585781	0.8063089
aou + silicate	Indo-Pacific	(26,26.5]	0.6560246	0.5381656	0.7585899
aou + silicate	Indo-Pacific	(26.5,26.75]	0.6155266	0.4093259	0.7404216
aou + silicate	Indo-Pacific	(26.75,27]	0.7499497	0.6938246	0.7795344
aou + silicate	Indo-Pacific	(27,27.25]	0.8632804	0.8054567	0.9080507
aou + silicate	Indo-Pacific	(27.25,27.5]	0.8983801	0.8521049	0.9373634
aou + silicate	Indo-Pacific	(27.5,27.75]	0.9184567	0.8664890	0.9528226
aou + silicate	Indo-Pacific	(27.75,27.85]	0.9668533	0.9508782	0.9761360
aou + silicate	Indo-Pacific	(27.85,27.95]	0.9642729	0.9543989	0.9707377
aou + silicate	Indo-Pacific	(27.95,28.05]	0.9491873	0.9415492	0.9533539
aou + silicate	Indo-Pacific	(28.05,28.1]	0.9486127	0.9459875	0.9528102
aou + silicate	Indo-Pacific	(28.1, Inf]	0.6263672	0.5401927	0.6694759
oxygen + phosphate	Atlantic	(-Inf,26]	-0.4412587	-0.6061311	-0.3072346
oxygen + phosphate	Atlantic	(26,26.5]	-0.4575598	-0.7627491	-0.1724774
oxygen + phosphate	Atlantic	(26.5,26.75]	-0.7300061	-0.8281720	-0.6306966
oxygen + phosphate	Atlantic	(26.75,27]	-0.7453860	-0.8115376	-0.6537454
oxygen + phosphate	Atlantic	(27,27.25]	-0.6443769	-0.7382896	-0.4603906
oxygen + phosphate	Atlantic	(27.25,27.5]	-0.4827029	-0.6095132	-0.3297344
oxygen + phosphate	Atlantic	(27.5,27.75]	-0.5966809	-0.6749872	-0.4653694
oxygen + phosphate	Atlantic	(27.75,27.85]	-0.8629912	-0.8760309	-0.8562542
oxygen + phosphate	Atlantic	(27.85,27.95]	-0.9109015	-0.9348224	-0.8915953
oxygen + phosphate	Atlantic	(27.95,28.05]	-0.9275300	-0.9680297	-0.8866843
oxygen + phosphate	Atlantic	(28.05,28.1]	-0.9356801	-0.9742818	-0.8890527
oxygen + phosphate	Atlantic	(28.1,28.15]	-0.9594641	-0.9679879	-0.9515113
oxygen + phosphate	Atlantic	(28.15,28.2]	-0.9886288	-0.9933712	-0.9803690
oxygen + phosphate	Atlantic	(28.2, Inf]	-0.7033246	-0.7805874	-0.6632504
oxygen + phosphate	Indo-Pacific	(-Inf,26]	-0.7929968	-0.9142219	-0.7019392
oxygen + phosphate	Indo-Pacific	(26,26.5]	-0.8862491	-0.9082971	-0.8593493
oxygen + phosphate	Indo-Pacific	(26.5,26.75]	-0.8901984	-0.9168553	-0.8726298
oxygen + phosphate	Indo-Pacific	(26.75,27]	-0.8841471	-0.8898956	-0.8744815
oxygen + phosphate	Indo-Pacific	(27,27.25]	-0.9235393	-0.9561043	-0.8761859
oxygen + phosphate	Indo-Pacific	(27.25,27.5]	-0.9422463	-0.9674903	-0.8950246
oxygen + phosphate	Indo-Pacific	(27.5,27.75]	-0.9578123	-0.9797089	-0.9221370
oxygen + phosphate	Indo-Pacific	(27.75,27.85]	-0.9752401	-0.9887694	-0.9585316
oxygen + phosphate	Indo-Pacific	(27.85,27.95]	-0.9720875	-0.9878715	-0.9582296
oxygen + phosphate	Indo-Pacific	(27.95,28.05]	-0.9467136	-0.9591235	-0.9309152
oxygen + phosphate	Indo-Pacific	(28.05,28.1]	-0.9338575	-0.9526139	-0.9222755
oxygen + phosphate	Indo-Pacific	(28.1, Inf]	-0.7020610	-0.7608328	-0.6369693
oxygen + phosphate_star	Atlantic	(-Inf,26]	0.7865517	0.7327100	0.8180245
oxygen + phosphate_star	Atlantic	(26,26.5]	0.6681961	0.5374254	0.7834098
oxygen + phosphate_star	Atlantic	(26.5,26.75]	0.8415472	0.7883927	0.9061182
oxygen + phosphate_star	Atlantic	(26.75,27]	0.8386104	0.7712405	0.8848335
oxygen + phosphate_star	Atlantic	(27,27.25]	0.7343223	0.5760302	0.8197204
oxygen + phosphate_star	Atlantic	(27.25,27.5]	0.5628038	0.4135220	0.6758859
oxygen + phosphate_star	Atlantic	(27.5,27.75]	0.6349337	0.5085658	0.7151415
oxygen + phosphate_star	Atlantic	(27.75,27.85]	0.8786350	0.8750420	0.8839863
oxygen + phosphate_star	Atlantic	(27.85,27.95]	0.9183379	0.8980476	0.9397390
oxygen + phosphate_star	Atlantic	(27.95,28.05]	0.9312940	0.8914315	0.9693612
oxygen + phosphate_star	Atlantic	(28.05,28.1]	0.9410425	0.8985993	0.9724058
oxygen + phosphate_star	Atlantic	(28.1,28.15]	0.9675592	0.9564225	0.9760167
oxygen + phosphate_star	Atlantic	(28.15,28.2]	0.9887973	0.9809134	0.9939642
oxygen + phosphate_star	Atlantic	(28.2, Inf]	0.7046203	0.6583356	0.7831452
oxygen + phosphate_star	Indo-Pacific	(-Inf,26]	0.7330805	0.6222680	0.8846818
oxygen + phosphate_star	Indo-Pacific	(26,26.5]	0.8225764	0.7896305	0.8506652
oxygen + phosphate_star	Indo-Pacific	(26.5,26.75]	0.8486576	0.8253500	0.8776107
oxygen + phosphate_star	Indo-Pacific	(26.75,27]	0.8723411	0.8687001	0.8750640
oxygen + phosphate_star	Indo-Pacific	(27,27.25]	0.8964122	0.8102509	0.9435023
oxygen + phosphate_star	Indo-Pacific	(27.25,27.5]	0.9016707	0.7909855	0.9583043
oxygen + phosphate_star	Indo-Pacific	(27.5,27.75]	0.9176698	0.8195438	0.9751664
oxygen + phosphate_star	Indo-Pacific	(27.75,27.85]	0.9538054	0.9019055	0.9889471
oxygen + phosphate_star	Indo-Pacific	(27.85,27.95]	0.9621937	0.9323389	0.9896092
oxygen + phosphate_star	Indo-Pacific	(27.95,28.05]	0.9384194	0.9108558	0.9621106
oxygen + phosphate_star	Indo-Pacific	(28.05,28.1]	0.9266754	0.9040632	0.9550349
oxygen + phosphate_star	Indo-Pacific	(28.1, Inf]	0.7061323	0.6301705	0.7991590
oxygen + silicate	Atlantic	(-Inf,26]	-0.0202925	-0.1715993	0.1534811
oxygen + silicate	Atlantic	(26,26.5]	-0.3941576	-0.6443663	-0.1482352
oxygen + silicate	Atlantic	(26.5,26.75]	-0.7701318	-0.8436954	-0.6846121
oxygen + silicate	Atlantic	(26.75,27]	-0.7780682	-0.8302180	-0.7139144
oxygen + silicate	Atlantic	(27,27.25]	-0.6142032	-0.7169366	-0.4522280
oxygen + silicate	Atlantic	(27.25,27.5]	-0.2596380	-0.4764353	-0.0923371
oxygen + silicate	Atlantic	(27.5,27.75]	-0.3185453	-0.4360723	-0.2092809
oxygen + silicate	Atlantic	(27.75,27.85]	-0.7407622	-0.7579846	-0.7298223
oxygen + silicate	Atlantic	(27.85,27.95]	-0.8322018	-0.8599509	-0.8161961
oxygen + silicate	Atlantic	(27.95,28.05]	-0.8965103	-0.9290503	-0.8615934
oxygen + silicate	Atlantic	(28.05,28.1]	-0.9316667	-0.9616389	-0.8975675
oxygen + silicate	Atlantic	(28.1,28.15]	-0.9522411	-0.9528684	-0.9511337
oxygen + silicate	Atlantic	(28.15,28.2]	-0.9869917	-0.9916129	-0.9808054
oxygen + silicate	Atlantic	(28.2, Inf]	-0.7163708	-0.7458716	-0.6760719
oxygen + silicate	Indo-Pacific	(-Inf,26]	-0.5098696	-0.7068590	-0.3570615
oxygen + silicate	Indo-Pacific	(26,26.5]	-0.5383409	-0.6683985	-0.4175494
oxygen + silicate	Indo-Pacific	(26.5,26.75]	-0.4977414	-0.6493148	-0.2746742
oxygen + silicate	Indo-Pacific	(26.75,27]	-0.6373246	-0.6739034	-0.5683559
oxygen + silicate	Indo-Pacific	(27,27.25]	-0.7925279	-0.8597847	-0.6943939
oxygen + silicate	Indo-Pacific	(27.25,27.5]	-0.8475756	-0.9066026	-0.7684755
oxygen + silicate	Indo-Pacific	(27.5,27.75]	-0.8776475	-0.9290188	-0.7911157
oxygen + silicate	Indo-Pacific	(27.75,27.85]	-0.9512889	-0.9721552	-0.9203932
oxygen + silicate	Indo-Pacific	(27.85,27.95]	-0.9499935	-0.9648651	-0.9322933
oxygen + silicate	Indo-Pacific	(27.95,28.05]	-0.9243300	-0.9323370	-0.9106410
oxygen + silicate	Indo-Pacific	(28.05,28.1]	-0.9254025	-0.9263804	-0.9236258
oxygen + silicate	Indo-Pacific	(28.1, Inf]	-0.5374285	-0.5927076	-0.4299572
phosphate + phosphate_star	Atlantic	(-Inf,26]	-0.7246652	-0.7603510	-0.7003933
phosphate + phosphate_star	Atlantic	(26,26.5]	-0.9255695	-0.9886250	-0.8893376
phosphate + phosphate_star	Atlantic	(26.5,26.75]	-0.9766255	-0.9818145	-0.9666308
phosphate + phosphate_star	Atlantic	(26.75,27]	-0.9825627	-0.9850995	-0.9801916
phosphate + phosphate_star	Atlantic	(27,27.25]	-0.9875967	-0.9903419	-0.9843432
phosphate + phosphate_star	Atlantic	(27.25,27.5]	-0.9921676	-0.9935190	-0.9909282
phosphate + phosphate_star	Atlantic	(27.5,27.75]	-0.9959024	-0.9964220	-0.9956397
phosphate + phosphate_star	Atlantic	(27.75,27.85]	-0.9968701	-0.9977268	-0.9963606
phosphate + phosphate_star	Atlantic	(27.85,27.95]	-0.9949163	-0.9958776	-0.9940222
phosphate + phosphate_star	Atlantic	(27.95,28.05]	-0.9938602	-0.9953857	-0.9913353
phosphate + phosphate_star	Atlantic	(28.05,28.1]	-0.9928625	-0.9940815	-0.9905919
phosphate + phosphate_star	Atlantic	(28.1,28.15]	-0.9952762	-0.9964594	-0.9932125
phosphate + phosphate_star	Atlantic	(28.15,28.2]	-0.9969649	-0.9977864	-0.9963027
phosphate + phosphate_star	Atlantic	(28.2, Inf]	-0.9889567	-0.9949464	-0.9786039
phosphate + phosphate_star	Indo-Pacific	(-Inf,26]	-0.9698752	-0.9769677	-0.9611886
phosphate + phosphate_star	Indo-Pacific	(26,26.5]	-0.9526861	-0.9600135	-0.9469746
phosphate + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.9596354	-0.9701601	-0.9479436
phosphate + phosphate_star	Indo-Pacific	(26.75,27]	-0.9834628	-0.9895121	-0.9802433
phosphate + phosphate_star	Indo-Pacific	(27,27.25]	-0.9820325	-0.9919428	-0.9671313
phosphate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.9817667	-0.9925823	-0.9619816
phosphate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.9784779	-0.9935614	-0.9500403
phosphate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9787389	-0.9939804	-0.9514364
phosphate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.9823503	-0.9951048	-0.9615154
phosphate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.9818528	-0.9931431	-0.9678949
phosphate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.9776019	-0.9880526	-0.9620262
phosphate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.9350647	-0.9730936	-0.8781849
sal + aou	Atlantic	(-Inf,26]	-0.0452495	-0.3257778	0.3355069
sal + aou	Atlantic	(26,26.5]	-0.1316899	-0.2309276	0.0334238
sal + aou	Atlantic	(26.5,26.75]	-0.3436234	-0.5297627	-0.1936560
sal + aou	Atlantic	(26.75,27]	-0.2274688	-0.2786631	-0.1798969
sal + aou	Atlantic	(27,27.25]	-0.1722725	-0.3548045	0.0243317
sal + aou	Atlantic	(27.25,27.5]	-0.1716808	-0.3370859	-0.0600930
sal + aou	Atlantic	(27.5,27.75]	-0.4656439	-0.4956237	-0.4140142
sal + aou	Atlantic	(27.75,27.85]	-0.5438494	-0.6028770	-0.4959685
sal + aou	Atlantic	(27.85,27.95]	-0.3566450	-0.5027073	-0.1656048
sal + aou	Atlantic	(27.95,28.05]	-0.5444684	-0.7924660	-0.2117975
sal + aou	Atlantic	(28.05,28.1]	-0.7479505	-0.8681681	-0.6651277
sal + aou	Atlantic	(28.1,28.15]	-0.8326742	-0.8705770	-0.7857761
sal + aou	Atlantic	(28.15,28.2]	-0.9536576	-0.9757986	-0.9232777
sal + aou	Atlantic	(28.2, Inf]	-0.5299343	-0.7118279	-0.4183440
sal + aou	Indo-Pacific	(-Inf,26]	-0.1007275	-0.1348394	-0.0327037
sal + aou	Indo-Pacific	(26,26.5]	-0.0462443	-0.2484904	0.1341664
sal + aou	Indo-Pacific	(26.5,26.75]	-0.0499808	-0.3662272	0.2662912
sal + aou	Indo-Pacific	(26.75,27]	-0.1465444	-0.3473383	0.0457714
sal + aou	Indo-Pacific	(27,27.25]	-0.0664612	-0.1869272	0.1660639
sal + aou	Indo-Pacific	(27.25,27.5]	0.1235788	0.0311502	0.2796906
sal + aou	Indo-Pacific	(27.5,27.75]	0.0539318	-0.0757758	0.2444715
sal + aou	Indo-Pacific	(27.75,27.85]	-0.1591760	-0.4051461	0.1020511
sal + aou	Indo-Pacific	(27.85,27.95]	-0.3664921	-0.6902419	-0.1163589
sal + aou	Indo-Pacific	(27.95,28.05]	-0.3710596	-0.4619637	-0.2457736
sal + aou	Indo-Pacific	(28.05,28.1]	-0.4568953	-0.5848017	-0.3673960
sal + aou	Indo-Pacific	(28.1, Inf]	0.4000127	0.2765693	0.4836507
sal + oxygen	Atlantic	(-Inf,26]	-0.3109640	-0.5824114	-0.0830958
sal + oxygen	Atlantic	(26,26.5]	-0.2558098	-0.4586109	-0.0978965
sal + oxygen	Atlantic	(26.5,26.75]	0.0954246	-0.0452345	0.3329757
sal + oxygen	Atlantic	(26.75,27]	0.0271900	-0.0618028	0.0825327
sal + oxygen	Atlantic	(27,27.25]	-0.0428928	-0.2848910	0.1542667
sal + oxygen	Atlantic	(27.25,27.5]	-0.1247762	-0.2755115	0.0699327
sal + oxygen	Atlantic	(27.5,27.75]	0.1285747	0.0007210	0.2049111
sal + oxygen	Atlantic	(27.75,27.85]	0.3596203	0.2998878	0.4260460
sal + oxygen	Atlantic	(27.85,27.95]	0.2285522	0.0268688	0.3965104
sal + oxygen	Atlantic	(27.95,28.05]	0.4435389	0.1139659	0.7289259
sal + oxygen	Atlantic	(28.05,28.1]	0.6554291	0.5677434	0.8196414
sal + oxygen	Atlantic	(28.1,28.15]	0.7693824	0.7201298	0.8169252
sal + oxygen	Atlantic	(28.15,28.2]	0.9361833	0.8965298	0.9637406
sal + oxygen	Atlantic	(28.2, Inf]	0.3650789	0.2179548	0.5646201
sal + oxygen	Indo-Pacific	(-Inf,26]	-0.2050939	-0.3225624	-0.0853819
sal + oxygen	Indo-Pacific	(26,26.5]	-0.1331539	-0.2879960	0.0333019
sal + oxygen	Indo-Pacific	(26.5,26.75]	-0.1105800	-0.4189153	0.1874838
sal + oxygen	Indo-Pacific	(26.75,27]	-0.0254177	-0.2113746	0.1739144
sal + oxygen	Indo-Pacific	(27,27.25]	-0.0704212	-0.3515906	0.0755114
sal + oxygen	Indo-Pacific	(27.25,27.5]	-0.2325910	-0.4392475	-0.1152695
sal + oxygen	Indo-Pacific	(27.5,27.75]	-0.1397071	-0.3924178	0.0324730
sal + oxygen	Indo-Pacific	(27.75,27.85]	0.0892654	-0.2197215	0.3778925
sal + oxygen	Indo-Pacific	(27.85,27.95]	0.3099987	0.0234029	0.6777124
sal + oxygen	Indo-Pacific	(27.95,28.05]	0.2958454	0.1485588	0.4038045
sal + oxygen	Indo-Pacific	(28.05,28.1]	0.3810227	0.2769292	0.5276693
sal + oxygen	Indo-Pacific	(28.1, Inf]	-0.4958183	-0.5911751	-0.3703990
sal + phosphate	Atlantic	(-Inf,26]	-0.5368678	-0.7820996	-0.3151151
sal + phosphate	Atlantic	(26,26.5]	-0.6861720	-0.7694493	-0.5227085
sal + phosphate	Atlantic	(26.5,26.75]	-0.7286769	-0.7958907	-0.6260673
sal + phosphate	Atlantic	(26.75,27]	-0.6705112	-0.7056194	-0.6198328
sal + phosphate	Atlantic	(27,27.25]	-0.7145275	-0.7748703	-0.6639096
sal + phosphate	Atlantic	(27.25,27.5]	-0.7876444	-0.8205324	-0.7418126
sal + phosphate	Atlantic	(27.5,27.75]	-0.8352052	-0.8445523	-0.8291386
sal + phosphate	Atlantic	(27.75,27.85]	-0.7551779	-0.7831275	-0.7242229
sal + phosphate	Atlantic	(27.85,27.95]	-0.5751115	-0.6726756	-0.4171452
sal + phosphate	Atlantic	(27.95,28.05]	-0.6954715	-0.8503110	-0.4308056
sal + phosphate	Atlantic	(28.05,28.1]	-0.8442799	-0.9056577	-0.7678284
sal + phosphate	Atlantic	(28.1,28.15]	-0.8938608	-0.9149390	-0.8537034
sal + phosphate	Atlantic	(28.15,28.2]	-0.9592330	-0.9685939	-0.9542868
sal + phosphate	Atlantic	(28.2, Inf]	-0.8964793	-0.9415770	-0.8474669
sal + phosphate	Indo-Pacific	(-Inf,26]	-0.2198128	-0.2517569	-0.1978531
sal + phosphate	Indo-Pacific	(26,26.5]	-0.2788263	-0.4965027	-0.1021091
sal + phosphate	Indo-Pacific	(26.5,26.75]	-0.3024912	-0.6026729	-0.0366340
sal + phosphate	Indo-Pacific	(26.75,27]	-0.4017141	-0.6011400	-0.2166537
sal + phosphate	Indo-Pacific	(27,27.25]	-0.2502806	-0.3556547	-0.0875812
sal + phosphate	Indo-Pacific	(27.25,27.5]	0.0124007	-0.0277407	0.0674829
sal + phosphate	Indo-Pacific	(27.5,27.75]	-0.0070455	-0.0695993	0.1069794
sal + phosphate	Indo-Pacific	(27.75,27.85]	-0.1826353	-0.3793168	0.0529917
sal + phosphate	Indo-Pacific	(27.85,27.95]	-0.4106655	-0.6925250	-0.1626217
sal + phosphate	Indo-Pacific	(27.95,28.05]	-0.5116451	-0.5966346	-0.3879426
sal + phosphate	Indo-Pacific	(28.05,28.1]	-0.6183353	-0.7160040	-0.5687749
sal + phosphate	Indo-Pacific	(28.1, Inf]	-0.1340679	-0.2265805	-0.0753210
sal + phosphate_star	Atlantic	(-Inf,26]	0.1998114	-0.0441654	0.3224651
sal + phosphate_star	Atlantic	(26,26.5]	0.4669722	0.4252582	0.4991462
sal + phosphate_star	Atlantic	(26.5,26.75]	0.5841224	0.4822478	0.6822662
sal + phosphate_star	Atlantic	(26.75,27]	0.5408556	0.4969719	0.5683795
sal + phosphate_star	Atlantic	(27,27.25]	0.6152328	0.5573508	0.6941158
sal + phosphate_star	Atlantic	(27.25,27.5]	0.7265547	0.6672941	0.7688312
sal + phosphate_star	Atlantic	(27.5,27.75]	0.8094865	0.7999244	0.8184019
sal + phosphate_star	Atlantic	(27.75,27.85]	0.7335917	0.6948847	0.7727746
sal + phosphate_star	Atlantic	(27.85,27.95]	0.5573448	0.3908420	0.6585912
sal + phosphate_star	Atlantic	(27.95,28.05]	0.6864666	0.4188034	0.8436039
sal + phosphate_star	Atlantic	(28.05,28.1]	0.8332615	0.7550822	0.8997839
sal + phosphate_star	Atlantic	(28.1,28.15]	0.8799648	0.8373786	0.9045802
sal + phosphate_star	Atlantic	(28.15,28.2]	0.9568581	0.9479875	0.9635437
sal + phosphate_star	Atlantic	(28.2, Inf]	0.8918222	0.8425701	0.9411809
sal + phosphate_star	Indo-Pacific	(-Inf,26]	0.3534643	0.3127014	0.3794176
sal + phosphate_star	Indo-Pacific	(26,26.5]	0.3606897	0.1968814	0.5708911
sal + phosphate_star	Indo-Pacific	(26.5,26.75]	0.3483125	0.0794106	0.6374159
sal + phosphate_star	Indo-Pacific	(26.75,27]	0.4109705	0.2625066	0.5868281
sal + phosphate_star	Indo-Pacific	(27,27.25]	0.2892141	0.2085420	0.3456438
sal + phosphate_star	Indo-Pacific	(27.25,27.5]	0.0672090	0.0209922	0.1333828
sal + phosphate_star	Indo-Pacific	(27.5,27.75]	0.1147146	0.0936756	0.1255064
sal + phosphate_star	Indo-Pacific	(27.75,27.85]	0.2840688	0.1511085	0.4227808
sal + phosphate_star	Indo-Pacific	(27.85,27.95]	0.4744299	0.3011865	0.7065521
sal + phosphate_star	Indo-Pacific	(27.95,28.05]	0.5405203	0.4647126	0.5871297
sal + phosphate_star	Indo-Pacific	(28.05,28.1]	0.6419724	0.5867936	0.7125517
sal + phosphate_star	Indo-Pacific	(28.1, Inf]	0.1268535	0.1031580	0.1682807
sal + silicate	Atlantic	(-Inf,26]	-0.7139001	-0.7950883	-0.6725144
sal + silicate	Atlantic	(26,26.5]	-0.6824066	-0.7243435	-0.6125911
sal + silicate	Atlantic	(26.5,26.75]	-0.6350098	-0.7294011	-0.5055632
sal + silicate	Atlantic	(26.75,27]	-0.5545102	-0.5946755	-0.5155890
sal + silicate	Atlantic	(27,27.25]	-0.6607943	-0.7124112	-0.6219032
sal + silicate	Atlantic	(27.25,27.5]	-0.7972274	-0.8097390	-0.7859144
sal + silicate	Atlantic	(27.5,27.75]	-0.8197880	-0.8386444	-0.8101704
sal + silicate	Atlantic	(27.75,27.85]	-0.7884695	-0.8228682	-0.7518060
sal + silicate	Atlantic	(27.85,27.95]	-0.6617053	-0.7465839	-0.5237283
sal + silicate	Atlantic	(27.95,28.05]	-0.7307836	-0.8883221	-0.4777178
sal + silicate	Atlantic	(28.05,28.1]	-0.8591589	-0.9274773	-0.7987466
sal + silicate	Atlantic	(28.1,28.15]	-0.9053625	-0.9385148	-0.8708267
sal + silicate	Atlantic	(28.15,28.2]	-0.9565403	-0.9729301	-0.9307135
sal + silicate	Atlantic	(28.2, Inf]	-0.8546034	-0.9653379	-0.7751529
sal + silicate	Indo-Pacific	(-Inf,26]	-0.5269882	-0.5731307	-0.4408109
sal + silicate	Indo-Pacific	(26,26.5]	-0.5615187	-0.6829091	-0.4549151
sal + silicate	Indo-Pacific	(26.5,26.75]	-0.6677445	-0.8098948	-0.5567328
sal + silicate	Indo-Pacific	(26.75,27]	-0.6562476	-0.7628181	-0.4768095
sal + silicate	Indo-Pacific	(27,27.25]	-0.4573032	-0.5470162	-0.3205614
sal + silicate	Indo-Pacific	(27.25,27.5]	-0.1630008	-0.2354897	-0.0874834
sal + silicate	Indo-Pacific	(27.5,27.75]	-0.0820400	-0.1062914	-0.0579965
sal + silicate	Indo-Pacific	(27.75,27.85]	-0.2108744	-0.3571247	-0.0466023
sal + silicate	Indo-Pacific	(27.85,27.95]	-0.3894004	-0.6239515	-0.2031514
sal + silicate	Indo-Pacific	(27.95,28.05]	-0.4335087	-0.4910533	-0.3501070
sal + silicate	Indo-Pacific	(28.05,28.1]	-0.5445378	-0.6170559	-0.4767160
sal + silicate	Indo-Pacific	(28.1, Inf]	-0.0734950	-0.1703735	0.0732319
sal + tem	Atlantic	(-Inf,26]	0.9207161	0.8381654	0.9786562
sal + tem	Atlantic	(26,26.5]	0.9600524	0.9470189	0.9717127
sal + tem	Atlantic	(26.5,26.75]	0.9866701	0.9811261	0.9902331
sal + tem	Atlantic	(26.75,27]	0.9794774	0.9741859	0.9843463
sal + tem	Atlantic	(27,27.25]	0.9773384	0.9758270	0.9794429
sal + tem	Atlantic	(27.25,27.5]	0.9728298	0.9698213	0.9754742
sal + tem	Atlantic	(27.5,27.75]	0.9596412	0.9556522	0.9622929
sal + tem	Atlantic	(27.75,27.85]	0.9789351	0.9753679	0.9808720
sal + tem	Atlantic	(27.85,27.95]	0.9441199	0.9369742	0.9480091
sal + tem	Atlantic	(27.95,28.05]	0.8823423	0.8069203	0.9317987
sal + tem	Atlantic	(28.05,28.1]	0.9497597	0.9127320	0.9685717
sal + tem	Atlantic	(28.1,28.15]	0.9486238	0.9195421	0.9706795
sal + tem	Atlantic	(28.15,28.2]	0.8825453	0.8477644	0.9035039
sal + tem	Atlantic	(28.2, Inf]	0.4658301	0.3653252	0.6272068
sal + tem	Indo-Pacific	(-Inf,26]	0.7708979	0.7410815	0.8182287
sal + tem	Indo-Pacific	(26,26.5]	0.9287394	0.8853113	0.9530410
sal + tem	Indo-Pacific	(26.5,26.75]	0.9782800	0.9690919	0.9832747
sal + tem	Indo-Pacific	(26.75,27]	0.9768591	0.9720313	0.9799282
sal + tem	Indo-Pacific	(27,27.25]	0.9501819	0.9326539	0.9710015
sal + tem	Indo-Pacific	(27.25,27.5]	0.8788236	0.8219365	0.9585099
sal + tem	Indo-Pacific	(27.5,27.75]	0.7118918	0.5144167	0.9159312
sal + tem	Indo-Pacific	(27.75,27.85]	0.8138537	0.6545628	0.9395278
sal + tem	Indo-Pacific	(27.85,27.95]	0.7036211	0.4548127	0.8728347
sal + tem	Indo-Pacific	(27.95,28.05]	0.7224713	0.6298824	0.8210732
sal + tem	Indo-Pacific	(28.05,28.1]	0.6987818	0.5756878	0.7977441
sal + tem	Indo-Pacific	(28.1, Inf]	0.7138260	0.5996297	0.8278324
silicate + phosphate	Atlantic	(-Inf,26]	0.6435212	0.5417703	0.7736760
silicate + phosphate	Atlantic	(26,26.5]	0.9197612	0.9020743	0.9319463
silicate + phosphate	Atlantic	(26.5,26.75]	0.9667453	0.9625265	0.9712821
silicate + phosphate	Atlantic	(26.75,27]	0.9516208	0.9345927	0.9610085
silicate + phosphate	Atlantic	(27,27.25]	0.9447014	0.9296485	0.9556204
silicate + phosphate	Atlantic	(27.25,27.5]	0.8978592	0.8721677	0.9280920
silicate + phosphate	Atlantic	(27.5,27.75]	0.8895426	0.8694482	0.9021325
silicate + phosphate	Atlantic	(27.75,27.85]	0.9520945	0.9423096	0.9653637
silicate + phosphate	Atlantic	(27.85,27.95]	0.9714709	0.9666891	0.9776300
silicate + phosphate	Atlantic	(27.95,28.05]	0.9807086	0.9759663	0.9866261
silicate + phosphate	Atlantic	(28.05,28.1]	0.9890124	0.9850664	0.9911994
silicate + phosphate	Atlantic	(28.1,28.15]	0.9933245	0.9921857	0.9941494
silicate + phosphate	Atlantic	(28.15,28.2]	0.9941483	0.9898345	0.9973286
silicate + phosphate	Atlantic	(28.2, Inf]	0.9695668	0.9599850	0.9887272
silicate + phosphate	Indo-Pacific	(-Inf,26]	0.7970365	0.7532736	0.8266286
silicate + phosphate	Indo-Pacific	(26,26.5]	0.7607970	0.6608833	0.8380775
silicate + phosphate	Indo-Pacific	(26.5,26.75]	0.7518371	0.5908688	0.8429329
silicate + phosphate	Indo-Pacific	(26.75,27]	0.8535440	0.8041063	0.8812693
silicate + phosphate	Indo-Pacific	(27,27.25]	0.8988752	0.8736363	0.9333806
silicate + phosphate	Indo-Pacific	(27.25,27.5]	0.8884682	0.8592060	0.9285349
silicate + phosphate	Indo-Pacific	(27.5,27.75]	0.8900713	0.8459587	0.9314354
silicate + phosphate	Indo-Pacific	(27.75,27.85]	0.9510737	0.9308561	0.9640862
silicate + phosphate	Indo-Pacific	(27.85,27.95]	0.9643449	0.9516445	0.9715323
silicate + phosphate	Indo-Pacific	(27.95,28.05]	0.9592635	0.9505559	0.9637854
silicate + phosphate	Indo-Pacific	(28.05,28.1]	0.9558185	0.9482961	0.9622048
silicate + phosphate	Indo-Pacific	(28.1, Inf]	0.7942203	0.7644862	0.8300839
silicate + phosphate_star	Atlantic	(-Inf,26]	-0.4597412	-0.5262541	-0.3528730
silicate + phosphate_star	Atlantic	(26,26.5]	-0.8574505	-0.9335528	-0.8130364
silicate + phosphate_star	Atlantic	(26.5,26.75]	-0.9685756	-0.9766017	-0.9601052
silicate + phosphate_star	Atlantic	(26.75,27]	-0.9519782	-0.9612813	-0.9358391
silicate + phosphate_star	Atlantic	(27,27.25]	-0.9294604	-0.9493202	-0.9137595
silicate + phosphate_star	Atlantic	(27.25,27.5]	-0.8663259	-0.9105063	-0.8263441
silicate + phosphate_star	Atlantic	(27.5,27.75]	-0.8716164	-0.8856450	-0.8506583
silicate + phosphate_star	Atlantic	(27.75,27.85]	-0.9466740	-0.9588018	-0.9372276
silicate + phosphate_star	Atlantic	(27.85,27.95]	-0.9682789	-0.9748126	-0.9643712
silicate + phosphate_star	Atlantic	(27.95,28.05]	-0.9787977	-0.9851869	-0.9750396
silicate + phosphate_star	Atlantic	(28.05,28.1]	-0.9883932	-0.9908217	-0.9862850
silicate + phosphate_star	Atlantic	(28.1,28.15]	-0.9911087	-0.9920310	-0.9900185
silicate + phosphate_star	Atlantic	(28.15,28.2]	-0.9948277	-0.9971700	-0.9910553
silicate + phosphate_star	Atlantic	(28.2, Inf]	-0.9684514	-0.9898211	-0.9538790
silicate + phosphate_star	Indo-Pacific	(-Inf,26]	-0.8810392	-0.8928076	-0.8633550
silicate + phosphate_star	Indo-Pacific	(26,26.5]	-0.8193160	-0.8792221	-0.7409978
silicate + phosphate_star	Indo-Pacific	(26.5,26.75]	-0.7815493	-0.8711187	-0.6272799
silicate + phosphate_star	Indo-Pacific	(26.75,27]	-0.8465096	-0.8733674	-0.8017950
silicate + phosphate_star	Indo-Pacific	(27,27.25]	-0.8921453	-0.9255978	-0.8656112
silicate + phosphate_star	Indo-Pacific	(27.25,27.5]	-0.8819789	-0.9229355	-0.8463770
silicate + phosphate_star	Indo-Pacific	(27.5,27.75]	-0.8910168	-0.9291147	-0.8443627
silicate + phosphate_star	Indo-Pacific	(27.75,27.85]	-0.9449097	-0.9600448	-0.9163417
silicate + phosphate_star	Indo-Pacific	(27.85,27.95]	-0.9580159	-0.9685465	-0.9409673
silicate + phosphate_star	Indo-Pacific	(27.95,28.05]	-0.9491689	-0.9665294	-0.9335964
silicate + phosphate_star	Indo-Pacific	(28.05,28.1]	-0.9549649	-0.9610554	-0.9484612
silicate + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.8057462	-0.8556006	-0.7743155
tem + aou	Atlantic	(-Inf,26]	-0.0687693	-0.3518914	0.3120683
tem + aou	Atlantic	(26,26.5]	-0.2026044	-0.3782715	-0.0257882
tem + aou	Atlantic	(26.5,26.75]	-0.3626266	-0.5394586	-0.2278605
tem + aou	Atlantic	(26.75,27]	-0.2258924	-0.2684537	-0.1748759
tem + aou	Atlantic	(27,27.25]	-0.1116539	-0.2812963	0.0747144
tem + aou	Atlantic	(27.25,27.5]	-0.1280238	-0.2994314	-0.0069762
tem + aou	Atlantic	(27.5,27.75]	-0.4163606	-0.4606483	-0.3507414
tem + aou	Atlantic	(27.75,27.85]	-0.5228423	-0.5682867	-0.4812475
tem + aou	Atlantic	(27.85,27.95]	-0.3044515	-0.4569619	-0.0804600
tem + aou	Atlantic	(27.95,28.05]	-0.5202876	-0.7151551	-0.3144163
tem + aou	Atlantic	(28.05,28.1]	-0.6062227	-0.8064307	-0.4385820
tem + aou	Atlantic	(28.1,28.15]	-0.6597060	-0.7330619	-0.5223213
tem + aou	Atlantic	(28.15,28.2]	-0.7563883	-0.8202708	-0.7093370
tem + aou	Atlantic	(28.2, Inf]	0.3523127	0.2491837	0.4736749
tem + aou	Indo-Pacific	(-Inf,26]	-0.2722316	-0.4106364	-0.1756575
tem + aou	Indo-Pacific	(26,26.5]	-0.1194041	-0.2979562	-0.0170725
tem + aou	Indo-Pacific	(26.5,26.75]	-0.0403527	-0.3355578	0.2570151
tem + aou	Indo-Pacific	(26.75,27]	-0.1647195	-0.3441368	-0.0129495
tem + aou	Indo-Pacific	(27,27.25]	-0.1447080	-0.2850675	0.0782669
tem + aou	Indo-Pacific	(27.25,27.5]	0.0937411	-0.0020667	0.2629607
tem + aou	Indo-Pacific	(27.5,27.75]	0.1113591	0.0131166	0.2677859
tem + aou	Indo-Pacific	(27.75,27.85]	-0.0032064	-0.1982387	0.1936379
tem + aou	Indo-Pacific	(27.85,27.95]	-0.0703416	-0.2789347	0.0637697
tem + aou	Indo-Pacific	(27.95,28.05]	0.0906200	0.0763459	0.1173523
tem + aou	Indo-Pacific	(28.05,28.1]	0.1582755	0.0357532	0.2615890
tem + aou	Indo-Pacific	(28.1, Inf]	0.8408267	0.8004585	0.8667850
tem + oxygen	Atlantic	(-Inf,26]	-0.3163713	-0.5749811	-0.1206498
tem + oxygen	Atlantic	(26,26.5]	-0.1968196	-0.4148047	0.0427067
tem + oxygen	Atlantic	(26.5,26.75]	0.1118365	-0.0150026	0.3410353
tem + oxygen	Atlantic	(26.75,27]	0.0214474	-0.0706434	0.0678025
tem + oxygen	Atlantic	(27,27.25]	-0.1086535	-0.3379192	0.0727534
tem + oxygen	Atlantic	(27.25,27.5]	-0.1762577	-0.3351416	0.0234851
tem + oxygen	Atlantic	(27.5,27.75]	0.0584126	-0.0852544	0.1518829
tem + oxygen	Atlantic	(27.75,27.85]	0.3304151	0.2786541	0.3801715
tem + oxygen	Atlantic	(27.85,27.95]	0.1653514	-0.0686148	0.3399528
tem + oxygen	Atlantic	(27.95,28.05]	0.3933041	0.1904284	0.6256963
tem + oxygen	Atlantic	(28.05,28.1]	0.4917184	0.3267804	0.7418371
tem + oxygen	Atlantic	(28.1,28.15]	0.5766872	0.4345949	0.6498435
tem + oxygen	Atlantic	(28.15,28.2]	0.7180076	0.6732370	0.7888052
tem + oxygen	Atlantic	(28.2, Inf]	-0.5293353	-0.6164468	-0.4358133
tem + oxygen	Indo-Pacific	(-Inf,26]	-0.1032603	-0.2745694	-0.0104878
tem + oxygen	Indo-Pacific	(26,26.5]	-0.0727019	-0.1580104	0.0734543
tem + oxygen	Indo-Pacific	(26.5,26.75]	-0.1248874	-0.4160528	0.1518972
tem + oxygen	Indo-Pacific	(26.75,27]	-0.0118269	-0.1574711	0.1667299
tem + oxygen	Indo-Pacific	(27,27.25]	0.0015818	-0.2729761	0.1689748
tem + oxygen	Indo-Pacific	(27.25,27.5]	-0.2162391	-0.4322640	-0.0949851
tem + oxygen	Indo-Pacific	(27.5,27.75]	-0.2228174	-0.4294064	-0.0938038
tem + oxygen	Indo-Pacific	(27.75,27.85]	-0.0780331	-0.3165264	0.1534029
tem + oxygen	Indo-Pacific	(27.85,27.95]	-0.0054680	-0.1680901	0.2362149
tem + oxygen	Indo-Pacific	(27.95,28.05]	-0.1860042	-0.1995946	-0.1673701
tem + oxygen	Indo-Pacific	(28.05,28.1]	-0.2406214	-0.3537611	-0.1237291
tem + oxygen	Indo-Pacific	(28.1, Inf]	-0.9012284	-0.9172228	-0.8760409
tem + phosphate	Atlantic	(-Inf,26]	-0.4465037	-0.6217540	-0.2872539
tem + phosphate	Atlantic	(26,26.5]	-0.7252611	-0.7977219	-0.6318815
tem + phosphate	Atlantic	(26.5,26.75]	-0.7441481	-0.8013726	-0.6584993
tem + phosphate	Atlantic	(26.75,27]	-0.6690712	-0.7005508	-0.6280295
tem + phosphate	Atlantic	(27,27.25]	-0.6703935	-0.7235873	-0.6197743
tem + phosphate	Atlantic	(27.25,27.5]	-0.7580177	-0.7945460	-0.7146478
tem + phosphate	Atlantic	(27.5,27.75]	-0.7998618	-0.8089097	-0.7910859
tem + phosphate	Atlantic	(27.75,27.85]	-0.7425998	-0.7630549	-0.7137399
tem + phosphate	Atlantic	(27.85,27.95]	-0.5252112	-0.6256550	-0.3343713
tem + phosphate	Atlantic	(27.95,28.05]	-0.6492760	-0.7702004	-0.4548313
tem + phosphate	Atlantic	(28.05,28.1]	-0.7213138	-0.8442823	-0.5630099
tem + phosphate	Atlantic	(28.1,28.15]	-0.7416721	-0.8216944	-0.6194000
tem + phosphate	Atlantic	(28.15,28.2]	-0.7549808	-0.7961936	-0.6943424
tem + phosphate	Atlantic	(28.2, Inf]	-0.1112661	-0.1984830	-0.0519485
tem + phosphate	Indo-Pacific	(-Inf,26]	-0.4323561	-0.5907832	-0.2998380
tem + phosphate	Indo-Pacific	(26,26.5]	-0.3689015	-0.5549061	-0.2683633
tem + phosphate	Indo-Pacific	(26.5,26.75]	-0.3057328	-0.5850451	-0.0615034
tem + phosphate	Indo-Pacific	(26.75,27]	-0.4350420	-0.6099013	-0.2910911
tem + phosphate	Indo-Pacific	(27,27.25]	-0.3471856	-0.4234578	-0.1961448
tem + phosphate	Indo-Pacific	(27.25,27.5]	-0.0500689	-0.1213691	0.0284870
tem + phosphate	Indo-Pacific	(27.5,27.75]	0.0426798	-0.0155293	0.1237490
tem + phosphate	Indo-Pacific	(27.75,27.85]	-0.0281936	-0.1669361	0.1343332
tem + phosphate	Indo-Pacific	(27.85,27.95]	-0.1200123	-0.2780650	-0.0010696
tem + phosphate	Indo-Pacific	(27.95,28.05]	-0.0710536	-0.0944506	-0.0398646
tem + phosphate	Indo-Pacific	(28.05,28.1]	-0.0289602	-0.1498496	0.0490411
tem + phosphate	Indo-Pacific	(28.1, Inf]	0.3944451	0.2679137	0.4779643
tem + phosphate_star	Atlantic	(-Inf,26]	0.1519132	-0.0653365	0.3096019
tem + phosphate_star	Atlantic	(26,26.5]	0.5529396	0.5079708	0.6251879
tem + phosphate_star	Atlantic	(26.5,26.75]	0.6108935	0.5279889	0.6975139
tem + phosphate_star	Atlantic	(26.75,27]	0.5487442	0.5154852	0.5714517
tem + phosphate_star	Atlantic	(27,27.25]	0.5717025	0.5126821	0.6424344
tem + phosphate_star	Atlantic	(27.25,27.5]	0.6922955	0.6336130	0.7397797
tem + phosphate_star	Atlantic	(27.5,27.75]	0.7695790	0.7645013	0.7779957
tem + phosphate_star	Atlantic	(27.75,27.85]	0.7207069	0.6838512	0.7517880
tem + phosphate_star	Atlantic	(27.85,27.95]	0.5069296	0.3076263	0.6091582
tem + phosphate_star	Atlantic	(27.95,28.05]	0.6369114	0.4399580	0.7593713
tem + phosphate_star	Atlantic	(28.05,28.1]	0.7094623	0.5514256	0.8374482
tem + phosphate_star	Atlantic	(28.1,28.15]	0.7212057	0.5931143	0.8075016
tem + phosphate_star	Atlantic	(28.15,28.2]	0.7529396	0.7100942	0.7864352
tem + phosphate_star	Atlantic	(28.2, Inf]	0.1012601	0.0295041	0.1975806
tem + phosphate_star	Indo-Pacific	(-Inf,26]	0.5273644	0.3799723	0.6777656
tem + phosphate_star	Indo-Pacific	(26,26.5]	0.4429074	0.3337122	0.6245983
tem + phosphate_star	Indo-Pacific	(26.5,26.75]	0.3503523	0.1038031	0.6211509
tem + phosphate_star	Indo-Pacific	(26.75,27]	0.4443595	0.3256567	0.6016652
tem + phosphate_star	Indo-Pacific	(27,27.25]	0.3884500	0.3035589	0.4398328
tem + phosphate_star	Indo-Pacific	(27.25,27.5]	0.1320934	0.0860420	0.1640058
tem + phosphate_star	Indo-Pacific	(27.5,27.75]	0.0671267	0.0292266	0.0984471
tem + phosphate_star	Indo-Pacific	(27.75,27.85]	0.1238721	0.0502088	0.2175226
tem + phosphate_star	Indo-Pacific	(27.85,27.95]	0.1766033	0.1145829	0.2972145
tem + phosphate_star	Indo-Pacific	(27.95,28.05]	0.0951229	0.0319698	0.1546229
tem + phosphate_star	Indo-Pacific	(28.05,28.1]	0.0498790	-0.0248495	0.1965124
tem + phosphate_star	Indo-Pacific	(28.1, Inf]	-0.3998708	-0.5302868	-0.2681462
tem + silicate	Atlantic	(-Inf,26]	-0.6058851	-0.7356100	-0.5118555
tem + silicate	Atlantic	(26,26.5]	-0.6940228	-0.7324635	-0.6713966
tem + silicate	Atlantic	(26.5,26.75]	-0.6575854	-0.7401620	-0.5514632
tem + silicate	Atlantic	(26.75,27]	-0.5731056	-0.6058513	-0.5474068
tem + silicate	Atlantic	(27,27.25]	-0.6439136	-0.6895759	-0.6139537
tem + silicate	Atlantic	(27.25,27.5]	-0.8337342	-0.8392335	-0.8288195
tem + silicate	Atlantic	(27.5,27.75]	-0.8573527	-0.8796812	-0.8389417
tem + silicate	Atlantic	(27.75,27.85]	-0.8042016	-0.8434315	-0.7626576
tem + silicate	Atlantic	(27.85,27.95]	-0.6354677	-0.7301266	-0.4645337
tem + silicate	Atlantic	(27.95,28.05]	-0.7256101	-0.8518541	-0.5596467
tem + silicate	Atlantic	(28.05,28.1]	-0.7473424	-0.8802581	-0.6125043
tem + silicate	Atlantic	(28.1,28.15]	-0.7610483	-0.8231982	-0.6456801
tem + silicate	Atlantic	(28.15,28.2]	-0.7570242	-0.8073258	-0.7273218
tem + silicate	Atlantic	(28.2, Inf]	-0.0842811	-0.1558594	0.0039567
tem + silicate	Indo-Pacific	(-Inf,26]	-0.5967725	-0.7261407	-0.4499679
tem + silicate	Indo-Pacific	(26,26.5]	-0.6110836	-0.7160420	-0.4703853
tem + silicate	Indo-Pacific	(26.5,26.75]	-0.6666527	-0.8021744	-0.5602649
tem + silicate	Indo-Pacific	(26.75,27]	-0.6684323	-0.7561768	-0.5323795
tem + silicate	Indo-Pacific	(27,27.25]	-0.5265025	-0.6256717	-0.4123352
tem + silicate	Indo-Pacific	(27.25,27.5]	-0.2437907	-0.3118250	-0.1471327
tem + silicate	Indo-Pacific	(27.5,27.75]	-0.1739307	-0.2391804	-0.1198311
tem + silicate	Indo-Pacific	(27.75,27.85]	-0.1230091	-0.2532228	0.0094038
tem + silicate	Indo-Pacific	(27.85,27.95]	-0.1946195	-0.3604705	-0.0905682
tem + silicate	Indo-Pacific	(27.95,28.05]	-0.1000350	-0.1253313	-0.0704056
tem + silicate	Indo-Pacific	(28.05,28.1]	0.0336616	-0.1001331	0.1153910
tem + silicate	Indo-Pacific	(28.1, Inf]	0.2411614	0.0680485	0.3365357

rm(cor_predictors, cor_predictors_stats)

6.2.2.3 C* vs individual predictors

Below, the range of correlations coefficients for C* with each predictor is plotted per basin (facet) and density slab (color). Note that the range indicates the min and max values of in total 3 calculated coefficients (one per era).

cor_Cstar_predictor <-
  read_csv(here::here("data/eMLR",
                       "cor_Cstar_predictor.csv")) %>% 
  rename(predictor = rowname)

cor_Cstar_predictor_stats <- cor_Cstar_predictor %>% 
  group_by(predictor, basin, gamma_slab) %>% 
  summarise(mean_r = mean(Cstar),
            min_r = min(Cstar),
            max_r = max(Cstar)) %>% 
  ungroup()

cor_Cstar_predictor_stats %>% 
  mutate(predictor = reorder(predictor, mean_r)) %>%
  ggplot() +
  geom_vline(xintercept = c(-0.9, 0.9), col = "red") +
  geom_vline(xintercept = 0) +
  geom_linerange(
    aes(y = predictor, xmin = min_r, xmax = max_r, col = gamma_slab),
    position = position_dodge(width = 0.6)) +
  facet_wrap(~basin) +
  scale_color_viridis_d(direction = -1) +
  labs(x = "correlation coefficient", y = "C* correlation with...") +
  theme(legend.position = "top")

kable(cor_Cstar_predictor_stats) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

predictor	basin	gamma_slab	mean_r	min_r	max_r
aou	Atlantic	(-Inf,26]	0.0948744	-0.3711871	0.5332243
aou	Atlantic	(26,26.5]	-0.3140197	-0.6933099	0.0545390
aou	Atlantic	(26.5,26.75]	-0.5996279	-0.6700148	-0.5064340
aou	Atlantic	(26.75,27]	-0.5053251	-0.5703139	-0.4583983
aou	Atlantic	(27,27.25]	-0.4571842	-0.5506422	-0.2911704
aou	Atlantic	(27.25,27.5]	-0.4924236	-0.5716618	-0.4010756
aou	Atlantic	(27.5,27.75]	-0.7856120	-0.8211551	-0.7382048
aou	Atlantic	(27.75,27.85]	-0.9354504	-0.9470128	-0.9249823
aou	Atlantic	(27.85,27.95]	-0.9469077	-0.9628294	-0.9359087
aou	Atlantic	(27.95,28.05]	-0.9189538	-0.9271593	-0.9128789
aou	Atlantic	(28.05,28.1]	-0.9002490	-0.9131254	-0.8806348
aou	Atlantic	(28.1,28.15]	-0.9281787	-0.9396740	-0.9162489
aou	Atlantic	(28.15,28.2]	-0.9620568	-0.9692194	-0.9510549
aou	Atlantic	(28.2, Inf]	-0.6922519	-0.8195458	-0.6205950
aou	Indo-Pacific	(-Inf,26]	-0.5149130	-0.6400200	-0.4472197
aou	Indo-Pacific	(26,26.5]	-0.8403968	-0.8517341	-0.8211536
aou	Indo-Pacific	(26.5,26.75]	-0.8411200	-0.8622968	-0.8156240
aou	Indo-Pacific	(26.75,27]	-0.8469647	-0.8923007	-0.8202075
aou	Indo-Pacific	(27,27.25]	-0.6301663	-0.6922140	-0.5758841
aou	Indo-Pacific	(27.25,27.5]	0.0751200	0.0133650	0.1165430
aou	Indo-Pacific	(27.5,27.75]	0.4206555	0.2894476	0.5021573
aou	Indo-Pacific	(27.75,27.85]	0.4546896	0.2770580	0.5841937
aou	Indo-Pacific	(27.85,27.95]	0.2854072	0.1545060	0.4147307
aou	Indo-Pacific	(27.95,28.05]	-0.1214957	-0.1998843	0.0217023
aou	Indo-Pacific	(28.05,28.1]	-0.2517368	-0.3794373	-0.1798966
aou	Indo-Pacific	(28.1, Inf]	0.1316069	-0.0348118	0.3660777
oxygen	Atlantic	(-Inf,26]	-0.1061722	-0.5051495	0.2983873
oxygen	Atlantic	(26,26.5]	0.0339248	-0.3966024	0.5419770
oxygen	Atlantic	(26.5,26.75]	0.4001245	0.2477960	0.5192255
oxygen	Atlantic	(26.75,27]	0.3308273	0.2401203	0.4345322
oxygen	Atlantic	(27,27.25]	0.2586414	0.0372186	0.3720205
oxygen	Atlantic	(27.25,27.5]	0.2170106	0.0774325	0.3328796
oxygen	Atlantic	(27.5,27.75]	0.5333498	0.4050772	0.6073790
oxygen	Atlantic	(27.75,27.85]	0.8590177	0.8398607	0.8807056
oxygen	Atlantic	(27.85,27.95]	0.9150818	0.8995165	0.9460879
oxygen	Atlantic	(27.95,28.05]	0.8963245	0.8577963	0.9269719
oxygen	Atlantic	(28.05,28.1]	0.8777149	0.8516523	0.9197717
oxygen	Atlantic	(28.1,28.15]	0.9181816	0.9012301	0.9322195
oxygen	Atlantic	(28.15,28.2]	0.9637201	0.9592676	0.9686129
oxygen	Atlantic	(28.2, Inf]	0.5704957	0.4729743	0.7272496
oxygen	Indo-Pacific	(-Inf,26]	0.5187760	0.4489442	0.6463468
oxygen	Indo-Pacific	(26,26.5]	0.7541153	0.7056275	0.7868059
oxygen	Indo-Pacific	(26.5,26.75]	0.7586165	0.7280525	0.7996299
oxygen	Indo-Pacific	(26.75,27]	0.7693725	0.7368726	0.8254535
oxygen	Indo-Pacific	(27,27.25]	0.6159865	0.5465735	0.7060918
oxygen	Indo-Pacific	(27.25,27.5]	-0.0341996	-0.0859565	0.0258549
oxygen	Indo-Pacific	(27.5,27.75]	-0.3632628	-0.4653161	-0.2009100
oxygen	Indo-Pacific	(27.75,27.85]	-0.4160886	-0.5629082	-0.2079738
oxygen	Indo-Pacific	(27.85,27.95]	-0.2623530	-0.4000667	-0.1137397
oxygen	Indo-Pacific	(27.95,28.05]	0.1155996	-0.0268951	0.1878919
oxygen	Indo-Pacific	(28.05,28.1]	0.2316176	0.1663804	0.3491391
oxygen	Indo-Pacific	(28.1, Inf]	-0.1818398	-0.4177864	-0.0154040
phosphate	Atlantic	(-Inf,26]	-0.4126614	-0.8052489	-0.0480374
phosphate	Atlantic	(26,26.5]	-0.7844496	-0.8659538	-0.6799348
phosphate	Atlantic	(26.5,26.75]	-0.8776544	-0.9092614	-0.8542561
phosphate	Atlantic	(26.75,27]	-0.8525408	-0.8702323	-0.8225758
phosphate	Atlantic	(27,27.25]	-0.8889143	-0.8895507	-0.8881820
phosphate	Atlantic	(27.25,27.5]	-0.9505560	-0.9579696	-0.9420302
phosphate	Atlantic	(27.5,27.75]	-0.9884561	-0.9907126	-0.9853712
phosphate	Atlantic	(27.75,27.85]	-0.9827512	-0.9876438	-0.9756229
phosphate	Atlantic	(27.85,27.95]	-0.9667140	-0.9716584	-0.9627816
phosphate	Atlantic	(27.95,28.05]	-0.9502178	-0.9649152	-0.9339718
phosphate	Atlantic	(28.05,28.1]	-0.9425539	-0.9587959	-0.9251717
phosphate	Atlantic	(28.1,28.15]	-0.9583747	-0.9684832	-0.9464709
phosphate	Atlantic	(28.15,28.2]	-0.9810583	-0.9883310	-0.9724947
phosphate	Atlantic	(28.2, Inf]	-0.9620339	-0.9790526	-0.9387764
phosphate	Indo-Pacific	(-Inf,26]	-0.5757197	-0.7038862	-0.5064227
phosphate	Indo-Pacific	(26,26.5]	-0.9332592	-0.9444061	-0.9231474
phosphate	Indo-Pacific	(26.5,26.75]	-0.9484042	-0.9543277	-0.9445690
phosphate	Indo-Pacific	(26.75,27]	-0.9436843	-0.9637762	-0.9204828
phosphate	Indo-Pacific	(27,27.25]	-0.7103496	-0.7337122	-0.6729956
phosphate	Indo-Pacific	(27.25,27.5]	-0.0322365	-0.1080636	0.0193553
phosphate	Indo-Pacific	(27.5,27.75]	0.3069690	0.1761650	0.3992740
phosphate	Indo-Pacific	(27.75,27.85]	0.3446414	0.1547443	0.4817711
phosphate	Indo-Pacific	(27.85,27.95]	0.1562262	-0.0006677	0.3154189
phosphate	Indo-Pacific	(27.95,28.05]	-0.2719782	-0.3645910	-0.0880230
phosphate	Indo-Pacific	(28.05,28.1]	-0.4185162	-0.5442209	-0.3012822
phosphate	Indo-Pacific	(28.1, Inf]	-0.2882605	-0.4338247	-0.0213370
phosphate_star	Atlantic	(-Inf,26]	0.0852110	-0.3107099	0.4679325
phosphate_star	Atlantic	(26,26.5]	0.5953132	0.4056159	0.8207026
phosphate_star	Atlantic	(26.5,26.75]	0.7837150	0.7341827	0.8316432
phosphate_star	Atlantic	(26.75,27]	0.7557814	0.7184803	0.7776726
phosphate_star	Atlantic	(27,27.25]	0.8173721	0.8104400	0.8256805
phosphate_star	Atlantic	(27.25,27.5]	0.9140649	0.9080173	0.9253392
phosphate_star	Atlantic	(27.5,27.75]	0.9796202	0.9739620	0.9833678
phosphate_star	Atlantic	(27.75,27.85]	0.9785808	0.9743759	0.9834257
phosphate_star	Atlantic	(27.85,27.95]	0.9600672	0.9536722	0.9656760
phosphate_star	Atlantic	(27.95,28.05]	0.9419644	0.9326019	0.9573361
phosphate_star	Atlantic	(28.05,28.1]	0.9314569	0.9217391	0.9505445
phosphate_star	Atlantic	(28.1,28.15]	0.9514635	0.9445157	0.9638225
phosphate_star	Atlantic	(28.15,28.2]	0.9768003	0.9722670	0.9848328
phosphate_star	Atlantic	(28.2, Inf]	0.9465581	0.9097462	0.9702612
phosphate_star	Indo-Pacific	(-Inf,26]	0.5713195	0.5135592	0.6860143
phosphate_star	Indo-Pacific	(26,26.5]	0.8997899	0.8775949	0.9120232
phosphate_star	Indo-Pacific	(26.5,26.75]	0.9163360	0.9060975	0.9331184
phosphate_star	Indo-Pacific	(26.75,27]	0.9286735	0.9016496	0.9488903
phosphate_star	Indo-Pacific	(27,27.25]	0.6811982	0.6279505	0.7078588
phosphate_star	Indo-Pacific	(27.25,27.5]	0.0003180	-0.0355198	0.0544422
phosphate_star	Indo-Pacific	(27.5,27.75]	-0.3714883	-0.4286810	-0.2992500
phosphate_star	Indo-Pacific	(27.75,27.85]	-0.4310357	-0.5307686	-0.3172332
phosphate_star	Indo-Pacific	(27.85,27.95]	-0.2398445	-0.3579772	-0.1570786
phosphate_star	Indo-Pacific	(27.95,28.05]	0.1992997	0.0370836	0.3055968
phosphate_star	Indo-Pacific	(28.05,28.1]	0.3354716	0.2318912	0.4700224
phosphate_star	Indo-Pacific	(28.1, Inf]	0.1380383	-0.0859155	0.3038694
sal	Atlantic	(-Inf,26]	0.2893199	0.2228703	0.3269860
sal	Atlantic	(26,26.5]	0.7307163	0.5226450	0.8666493
sal	Atlantic	(26.5,26.75]	0.8567660	0.8063865	0.8880440
sal	Atlantic	(26.75,27]	0.8973845	0.8699793	0.9146719
sal	Atlantic	(27,27.25]	0.9172249	0.8999376	0.9429090
sal	Atlantic	(27.25,27.5]	0.9109993	0.8814810	0.9378890
sal	Atlantic	(27.5,27.75]	0.8557359	0.8418518	0.8667822
sal	Atlantic	(27.75,27.85]	0.7298170	0.7081495	0.7436290
sal	Atlantic	(27.85,27.95]	0.4577464	0.3090975	0.5387157
sal	Atlantic	(27.95,28.05]	0.5549736	0.2690369	0.7159448
sal	Atlantic	(28.05,28.1]	0.7234078	0.6613456	0.7730548
sal	Atlantic	(28.1,28.15]	0.7974262	0.7724322	0.8443428
sal	Atlantic	(28.15,28.2]	0.9099105	0.8925141	0.9326793
sal	Atlantic	(28.2, Inf]	0.9028001	0.8621840	0.9295343
sal	Indo-Pacific	(-Inf,26]	0.1443091	0.1302355	0.1546539
sal	Indo-Pacific	(26,26.5]	0.4066345	0.2672732	0.6262333
sal	Indo-Pacific	(26.5,26.75]	0.4347134	0.2122471	0.7126362
sal	Indo-Pacific	(26.75,27]	0.4486777	0.2980179	0.6668893
sal	Indo-Pacific	(27,27.25]	0.0056159	-0.1171006	0.1952502
sal	Indo-Pacific	(27.25,27.5]	-0.4052340	-0.6169920	-0.2139092
sal	Indo-Pacific	(27.5,27.75]	-0.3436362	-0.4420790	-0.2545677
sal	Indo-Pacific	(27.75,27.85]	-0.4349627	-0.5218193	-0.3141648
sal	Indo-Pacific	(27.85,27.95]	-0.2636138	-0.3691842	-0.0940164
sal	Indo-Pacific	(27.95,28.05]	0.1868750	0.0427199	0.3360299
sal	Indo-Pacific	(28.05,28.1]	0.2957974	0.2258232	0.4167223
sal	Indo-Pacific	(28.1, Inf]	0.3148342	0.2540835	0.4136392
silicate	Atlantic	(-Inf,26]	-0.3229475	-0.5522968	-0.0825164
silicate	Atlantic	(26,26.5]	-0.7356319	-0.8267582	-0.6270016
silicate	Atlantic	(26.5,26.75]	-0.8212687	-0.8391818	-0.7891525
silicate	Atlantic	(26.75,27]	-0.7667031	-0.7871720	-0.7496485
silicate	Atlantic	(27,27.25]	-0.8433176	-0.8716919	-0.8191915
silicate	Atlantic	(27.25,27.5]	-0.8992211	-0.9059750	-0.8945185
silicate	Atlantic	(27.5,27.75]	-0.8829288	-0.9051178	-0.8630863
silicate	Atlantic	(27.75,27.85]	-0.9073224	-0.9314085	-0.8764643
silicate	Atlantic	(27.85,27.95]	-0.9030935	-0.9219478	-0.8890345
silicate	Atlantic	(27.95,28.05]	-0.9003694	-0.9327048	-0.8740608
silicate	Atlantic	(28.05,28.1]	-0.9082445	-0.9356242	-0.8911054
silicate	Atlantic	(28.1,28.15]	-0.9385935	-0.9562571	-0.9230594
silicate	Atlantic	(28.15,28.2]	-0.9704431	-0.9773359	-0.9651271
silicate	Atlantic	(28.2, Inf]	-0.9111351	-0.9642570	-0.8445701
silicate	Indo-Pacific	(-Inf,26]	-0.5181503	-0.6288626	-0.4567030
silicate	Indo-Pacific	(26,26.5]	-0.7752146	-0.8161663	-0.7136697
silicate	Indo-Pacific	(26.5,26.75]	-0.7667013	-0.8437098	-0.6332848
silicate	Indo-Pacific	(26.75,27]	-0.7707259	-0.7995253	-0.7199367
silicate	Indo-Pacific	(27,27.25]	-0.4302448	-0.5067676	-0.3849373
silicate	Indo-Pacific	(27.25,27.5]	0.3475535	0.2829936	0.4238548
silicate	Indo-Pacific	(27.5,27.75]	0.6195443	0.5405623	0.6742328
silicate	Indo-Pacific	(27.75,27.85]	0.5161567	0.3737043	0.6335329
silicate	Indo-Pacific	(27.85,27.95]	0.2814989	0.1568541	0.4182219
silicate	Indo-Pacific	(27.95,28.05]	-0.1474978	-0.2375041	0.0164143
silicate	Indo-Pacific	(28.05,28.1]	-0.3077753	-0.4291197	-0.2382106
silicate	Indo-Pacific	(28.1, Inf]	-0.2072558	-0.3324222	-0.0587563
tem	Atlantic	(-Inf,26]	0.0655155	-0.0827931	0.1465154
tem	Atlantic	(26,26.5]	0.7223412	0.5595250	0.8169447
tem	Atlantic	(26.5,26.75]	0.8562581	0.8275488	0.8735358
tem	Atlantic	(26.75,27]	0.8850341	0.8656686	0.9019147
tem	Atlantic	(27,27.25]	0.8879506	0.8729674	0.9066721
tem	Atlantic	(27.25,27.5]	0.8839156	0.8608731	0.9128891
tem	Atlantic	(27.5,27.75]	0.8129182	0.7950602	0.8219969
tem	Atlantic	(27.75,27.85]	0.7102829	0.6959796	0.7246136
tem	Atlantic	(27.85,27.95]	0.4251724	0.2476208	0.5283781
tem	Atlantic	(27.95,28.05]	0.5337535	0.3266584	0.6577087
tem	Atlantic	(28.05,28.1]	0.6005779	0.4727863	0.6745071
tem	Atlantic	(28.1,28.15]	0.6225691	0.5370767	0.7289768
tem	Atlantic	(28.15,28.2]	0.6648944	0.6118608	0.7276289
tem	Atlantic	(28.2, Inf]	0.1867555	0.0586055	0.3122400
tem	Indo-Pacific	(-Inf,26]	-0.0028411	-0.0794153	0.0630388
tem	Indo-Pacific	(26,26.5]	0.4477372	0.3214697	0.6350025
tem	Indo-Pacific	(26.5,26.75]	0.4303970	0.2238553	0.6928678
tem	Indo-Pacific	(26.75,27]	0.4918282	0.3790500	0.6861830
tem	Indo-Pacific	(27,27.25]	0.1484349	0.0539126	0.3364576
tem	Indo-Pacific	(27.25,27.5]	-0.3341194	-0.5112289	-0.1917468
tem	Indo-Pacific	(27.5,27.75]	-0.4277935	-0.5502807	-0.3446213
tem	Indo-Pacific	(27.75,27.85]	-0.4471220	-0.5549833	-0.3217166
tem	Indo-Pacific	(27.85,27.95]	-0.3308109	-0.4395518	-0.1738875
tem	Indo-Pacific	(27.95,28.05]	0.0310968	-0.0262811	0.0715985
tem	Indo-Pacific	(28.05,28.1]	0.1150922	0.1068726	0.1233232
tem	Indo-Pacific	(28.1, Inf]	0.2932324	0.1233658	0.5486616

rm(cor_Cstar_predictor, cor_Cstar_predictor_stats)

6.3 Model fitting

GLODAP %>% write_csv(here::here("data/GLODAPv2_2020/_summarized_data_files",
                                "GLODAP_MLR_fitting_ready.csv"))

6.3.1 Predictor selection

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.

for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    
    print(i_basin) 
    print(i_era  )
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)

    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {

      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>% 
        filter(gamma_slab == i_gamma_slab)
      
      lm_full <- lm(Cstar ~ 
                sal  + 
                tem  + 
                aou  + 
                oxygen  + 
                silicate  + 
                phosphate  + 
                phosphate_star, 
              data = GLODAP_basin_era_slab)
      
      lm_all <- ols_step_all_possible(lm_full)
      
      temp <- as_tibble(lm_all$result)
      
      temp <- temp %>% 
        mutate(basin = i_basin,
               era = i_era,
               gamma_slab = i_gamma_slab)
      
      if (exists("all_lm_stats")) {
        all_lm_stats <- bind_rows(all_lm_stats, temp)
      }
      
      if (!exists("all_lm_stats")) {
        all_lm_stats <- temp
      }
      
      rm(lm_full, lm_all, temp)
      
    }
    
  }
  
}

all_lm_stats %>%
  write_csv(here::here("data/eMLR",
                       "all_lm_stats.csv"))

rm(i_gamma_slab, i_era, i_basin,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   all_lm_stats)

RMSE was plotted against the number of predictors (limited to 2 - 5).

all_lm_stats <- read_csv(here::here("data/eMLR",
                                    "all_lm_stats.csv"))

# nrow(all_lm_stats)
# length(unique(all_lm_stats$rmse))
# length(unique(all_lm_stats$adjr))
# length(unique(all_lm_stats$rsquare))
# length(unique(all_lm_stats$cp))
# length(unique(all_lm_stats$aic))
# length(unique(all_lm_stats$mindex))

all_lm_stats <- all_lm_stats %>% 
  filter(n >= parameters$predictors_min,
         n <= parameters$predictors_max)

all_lm_stats %>% 
  ggplot(aes(n, rmse, col = basin)) +
  geom_hline(yintercept = 10) + 
  geom_point(shape = 21) +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1")

AIC is an alternative criterion to RMSE to judge model quality, but not (yet) taken into account.

all_lm_stats %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(era~basin)

Within each basin and slab, the 10 linear regression models with lowest summed RMSE across all eras were selected.

all_lm_stats <- all_lm_stats %>%
  select(basin, era, gamma_slab, predictors, rmse)

all_lm_stats_wide <- all_lm_stats %>%
  pivot_wider(names_from = era,
              values_from = rmse,
              names_prefix = "rmse_")

all_lm_stats_wide <- all_lm_stats_wide %>%
  mutate(
    rmse_sum_JGOFS_GO = rmse_JGOFS_WOCE + rmse_GO_SHIP,
    rmse_sum_GO_new = rmse_GO_SHIP + rmse_new_era
  )

all_lm_stats <- all_lm_stats_wide %>%
  pivot_longer(
    c(rmse_sum_JGOFS_GO, rmse_sum_GO_new),
    names_to = "eras",
    values_to = "rmse_sum",
    names_prefix = "rmse_sum_"
  )

lm_best <- all_lm_stats %>%
  group_by(basin, gamma_slab, eras) %>%
  slice_min(order_by = rmse_sum,
            with_ties = FALSE,
            n = parameters$MLR_number) %>%
  ungroup() %>% 
  arrange(basin, gamma_slab, eras, predictors)

kable(lm_best) %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	predictors	rmse_JGOFS_WOCE	rmse_GO_SHIP	rmse_new_era	eras	rmse_sum
Atlantic	(-Inf,26]	aou oxygen silicate phosphate phosphate_star	7.551415	6.172312	2.751708	GO_new	8.924020
Atlantic	(-Inf,26]	sal aou oxygen phosphate phosphate_star	7.713991	6.065739	2.731656	GO_new	8.797395
Atlantic	(-Inf,26]	sal aou oxygen silicate phosphate	7.367183	6.069229	2.875347	GO_new	8.944576
Atlantic	(-Inf,26]	sal tem aou phosphate phosphate_star	7.585762	6.128055	2.717708	GO_new	8.845763
Atlantic	(-Inf,26]	sal tem aou silicate phosphate	7.278011	6.171501	2.857798	GO_new	9.029299
Atlantic	(-Inf,26]	sal tem oxygen phosphate phosphate_star	7.547678	6.166720	2.711688	GO_new	8.878408
Atlantic	(-Inf,26]	sal tem oxygen silicate phosphate	7.248967	6.204419	2.852778	GO_new	9.057197
Atlantic	(-Inf,26]	tem aou oxygen phosphate phosphate_star	7.150296	6.325439	2.671672	GO_new	8.997111
Atlantic	(-Inf,26]	tem aou silicate phosphate phosphate_star	7.415798	6.146663	2.744721	GO_new	8.891383
Atlantic	(-Inf,26]	tem oxygen silicate phosphate phosphate_star	7.358462	6.126738	2.734672	GO_new	8.861410
Atlantic	(-Inf,26]	sal aou oxygen silicate phosphate	7.367183	6.069229	2.875347	JGOFS_GO	13.436411
Atlantic	(-Inf,26]	sal tem aou oxygen phosphate	7.173663	6.319107	2.765130	JGOFS_GO	13.492771
Atlantic	(-Inf,26]	sal tem aou phosphate phosphate_star	7.585762	6.128055	2.717708	JGOFS_GO	13.713817
Atlantic	(-Inf,26]	sal tem aou silicate phosphate	7.278011	6.171501	2.857798	JGOFS_GO	13.449512
Atlantic	(-Inf,26]	sal tem oxygen phosphate phosphate_star	7.547678	6.166720	2.711688	JGOFS_GO	13.714398
Atlantic	(-Inf,26]	sal tem oxygen silicate phosphate	7.248967	6.204419	2.852778	JGOFS_GO	13.453386
Atlantic	(-Inf,26]	tem aou oxygen phosphate phosphate_star	7.150296	6.325439	2.671672	JGOFS_GO	13.475735
Atlantic	(-Inf,26]	tem aou oxygen silicate phosphate	7.054569	6.553880	2.766765	JGOFS_GO	13.608449
Atlantic	(-Inf,26]	tem aou silicate phosphate phosphate_star	7.415798	6.146663	2.744721	JGOFS_GO	13.562461
Atlantic	(-Inf,26]	tem oxygen silicate phosphate phosphate_star	7.358462	6.126738	2.734672	JGOFS_GO	13.485200
Atlantic	(26,26.5]	aou oxygen phosphate phosphate_star	5.479554	6.973773	3.206234	GO_new	10.180007
Atlantic	(26,26.5]	aou oxygen silicate phosphate	5.446518	7.022801	3.184956	GO_new	10.207756
Atlantic	(26,26.5]	aou oxygen silicate phosphate phosphate_star	5.391757	6.902167	3.178032	GO_new	10.080199
Atlantic	(26,26.5]	sal aou oxygen phosphate phosphate_star	5.456763	6.970849	3.196238	GO_new	10.167087
Atlantic	(26,26.5]	sal aou oxygen silicate phosphate	5.434466	6.997568	3.182424	GO_new	10.179991
Atlantic	(26,26.5]	sal tem aou oxygen phosphate	5.477425	6.872313	3.164633	GO_new	10.036947
Atlantic	(26,26.5]	tem aou oxygen phosphate	5.478784	6.872333	3.181060	GO_new	10.053393
Atlantic	(26,26.5]	tem aou oxygen phosphate phosphate_star	5.452186	6.854777	3.180828	GO_new	10.035605
Atlantic	(26,26.5]	tem aou oxygen silicate phosphate	5.363554	6.815718	3.120245	GO_new	9.935963
Atlantic	(26,26.5]	tem aou silicate phosphate phosphate_star	5.429777	6.960158	3.193715	GO_new	10.153873
Atlantic	(26,26.5]	aou oxygen phosphate phosphate_star	5.479554	6.973773	3.206234	JGOFS_GO	12.453327
Atlantic	(26,26.5]	aou oxygen silicate phosphate	5.446518	7.022801	3.184956	JGOFS_GO	12.469318
Atlantic	(26,26.5]	aou oxygen silicate phosphate phosphate_star	5.391757	6.902167	3.178032	JGOFS_GO	12.293924
Atlantic	(26,26.5]	sal aou oxygen phosphate phosphate_star	5.456763	6.970849	3.196238	JGOFS_GO	12.427613
Atlantic	(26,26.5]	sal aou oxygen silicate phosphate	5.434466	6.997568	3.182424	JGOFS_GO	12.432034
Atlantic	(26,26.5]	sal tem aou oxygen phosphate	5.477425	6.872313	3.164633	JGOFS_GO	12.349739
Atlantic	(26,26.5]	tem aou oxygen phosphate	5.478784	6.872333	3.181060	JGOFS_GO	12.351117
Atlantic	(26,26.5]	tem aou oxygen phosphate phosphate_star	5.452186	6.854777	3.180828	JGOFS_GO	12.306963
Atlantic	(26,26.5]	tem aou oxygen silicate phosphate	5.363554	6.815718	3.120245	JGOFS_GO	12.179271
Atlantic	(26,26.5]	tem aou silicate phosphate phosphate_star	5.429777	6.960158	3.193715	JGOFS_GO	12.389935
Atlantic	(26.5,26.75]	aou oxygen silicate phosphate phosphate_star	5.187377	5.677938	3.699733	GO_new	9.377671
Atlantic	(26.5,26.75]	sal aou oxygen phosphate phosphate_star	5.397352	5.674157	3.690864	GO_new	9.365021
Atlantic	(26.5,26.75]	sal tem aou oxygen phosphate	5.318827	5.588430	3.703778	GO_new	9.292208
Atlantic	(26.5,26.75]	sal tem aou phosphate phosphate_star	5.340770	5.620498	3.707786	GO_new	9.328284
Atlantic	(26.5,26.75]	sal tem oxygen phosphate phosphate_star	5.324850	5.603974	3.734403	GO_new	9.338378
Atlantic	(26.5,26.75]	tem aou oxygen phosphate	5.360609	5.628268	3.705511	GO_new	9.333779
Atlantic	(26.5,26.75]	tem aou oxygen phosphate phosphate_star	5.357372	5.609565	3.646853	GO_new	9.256419
Atlantic	(26.5,26.75]	tem aou oxygen silicate phosphate	5.153695	5.620094	3.704869	GO_new	9.324962
Atlantic	(26.5,26.75]	tem aou silicate phosphate phosphate_star	5.154882	5.637006	3.730283	GO_new	9.367289
Atlantic	(26.5,26.75]	tem oxygen silicate phosphate phosphate_star	5.141157	5.617650	3.758446	GO_new	9.376097
Atlantic	(26.5,26.75]	aou oxygen silicate phosphate phosphate_star	5.187377	5.677938	3.699733	JGOFS_GO	10.865315
Atlantic	(26.5,26.75]	sal aou oxygen silicate phosphate	5.121400	5.673332	3.769774	JGOFS_GO	10.794732
Atlantic	(26.5,26.75]	sal tem aou oxygen phosphate	5.318827	5.588430	3.703778	JGOFS_GO	10.907257
Atlantic	(26.5,26.75]	sal tem aou silicate phosphate	5.080928	5.614607	3.805535	JGOFS_GO	10.695536
Atlantic	(26.5,26.75]	sal tem oxygen silicate phosphate	5.073639	5.596750	3.838208	JGOFS_GO	10.670389
Atlantic	(26.5,26.75]	tem aou oxygen silicate phosphate	5.153695	5.620094	3.704869	JGOFS_GO	10.773788
Atlantic	(26.5,26.75]	tem aou silicate phosphate	5.173069	5.666457	3.809027	JGOFS_GO	10.839526
Atlantic	(26.5,26.75]	tem aou silicate phosphate phosphate_star	5.154882	5.637006	3.730283	JGOFS_GO	10.791888
Atlantic	(26.5,26.75]	tem oxygen silicate phosphate	5.158997	5.644808	3.842072	JGOFS_GO	10.803805
Atlantic	(26.5,26.75]	tem oxygen silicate phosphate phosphate_star	5.141157	5.617650	3.758446	JGOFS_GO	10.758807
Atlantic	(26.75,27]	aou oxygen silicate phosphate phosphate_star	4.835819	4.995037	3.480513	GO_new	8.475549
Atlantic	(26.75,27]	sal aou oxygen phosphate phosphate_star	4.840760	5.037419	3.441292	GO_new	8.478711
Atlantic	(26.75,27]	sal tem aou phosphate phosphate_star	4.759298	5.018815	3.415301	GO_new	8.434116
Atlantic	(26.75,27]	sal tem aou silicate phosphate	4.708472	4.969119	3.448332	GO_new	8.417452
Atlantic	(26.75,27]	sal tem oxygen phosphate phosphate_star	4.737133	5.008805	3.405761	GO_new	8.414566
Atlantic	(26.75,27]	sal tem oxygen silicate phosphate	4.689137	4.956845	3.438851	GO_new	8.395696
Atlantic	(26.75,27]	tem aou oxygen phosphate phosphate_star	4.761392	5.006690	3.456965	GO_new	8.463654
Atlantic	(26.75,27]	tem aou silicate phosphate phosphate_star	4.767595	4.974144	3.429472	GO_new	8.403616
Atlantic	(26.75,27]	tem oxygen phosphate phosphate_star	4.769503	5.012519	3.460589	GO_new	8.473107
Atlantic	(26.75,27]	tem oxygen silicate phosphate phosphate_star	4.739924	4.961115	3.415486	GO_new	8.376601
Atlantic	(26.75,27]	sal aou oxygen silicate phosphate	4.810239	5.008928	3.490149	JGOFS_GO	9.819166
Atlantic	(26.75,27]	sal tem aou phosphate phosphate_star	4.759298	5.018815	3.415301	JGOFS_GO	9.778113
Atlantic	(26.75,27]	sal tem aou silicate phosphate	4.708472	4.969119	3.448332	JGOFS_GO	9.677591
Atlantic	(26.75,27]	sal tem oxygen phosphate phosphate_star	4.737133	5.008805	3.405761	JGOFS_GO	9.745938
Atlantic	(26.75,27]	sal tem oxygen silicate phosphate	4.689137	4.956845	3.438851	JGOFS_GO	9.645981
Atlantic	(26.75,27]	tem aou oxygen phosphate phosphate_star	4.761392	5.006690	3.456965	JGOFS_GO	9.768082
Atlantic	(26.75,27]	tem aou phosphate phosphate_star	4.795872	5.022362	3.476304	JGOFS_GO	9.818234
Atlantic	(26.75,27]	tem aou silicate phosphate phosphate_star	4.767595	4.974144	3.429472	JGOFS_GO	9.741739
Atlantic	(26.75,27]	tem oxygen phosphate phosphate_star	4.769503	5.012519	3.460589	JGOFS_GO	9.782022
Atlantic	(26.75,27]	tem oxygen silicate phosphate phosphate_star	4.739924	4.961115	3.415486	JGOFS_GO	9.701040
Atlantic	(27,27.25]	aou oxygen phosphate phosphate_star	5.401370	5.068241	4.546280	GO_new	9.614522
Atlantic	(27,27.25]	aou oxygen silicate phosphate phosphate_star	5.328621	5.017816	4.477069	GO_new	9.494885
Atlantic	(27,27.25]	sal aou oxygen phosphate phosphate_star	5.387715	5.017391	4.533016	GO_new	9.550408
Atlantic	(27,27.25]	sal tem aou phosphate phosphate_star	5.250498	4.962351	4.519119	GO_new	9.481471
Atlantic	(27,27.25]	sal tem oxygen phosphate phosphate_star	5.196334	4.924601	4.501528	GO_new	9.426129
Atlantic	(27,27.25]	tem aou oxygen phosphate phosphate_star	5.147498	4.914744	4.485850	GO_new	9.400593
Atlantic	(27,27.25]	tem aou phosphate phosphate_star	5.284619	4.989642	4.526341	GO_new	9.515983
Atlantic	(27,27.25]	tem aou silicate phosphate phosphate_star	5.192439	4.929965	4.448113	GO_new	9.378079
Atlantic	(27,27.25]	tem oxygen phosphate phosphate_star	5.234406	4.949687	4.507371	GO_new	9.457059
Atlantic	(27,27.25]	tem oxygen silicate phosphate phosphate_star	5.142108	4.888961	4.425074	GO_new	9.314035
Atlantic	(27,27.25]	sal tem aou phosphate phosphate_star	5.250498	4.962351	4.519119	JGOFS_GO	10.212849
Atlantic	(27,27.25]	sal tem aou silicate phosphate	5.078648	5.067501	4.676695	JGOFS_GO	10.146150
Atlantic	(27,27.25]	sal tem oxygen phosphate phosphate_star	5.196334	4.924601	4.501528	JGOFS_GO	10.120936
Atlantic	(27,27.25]	sal tem oxygen silicate phosphate	5.018688	5.043558	4.665827	JGOFS_GO	10.062246
Atlantic	(27,27.25]	tem aou oxygen phosphate phosphate_star	5.147498	4.914744	4.485850	JGOFS_GO	10.062242
Atlantic	(27,27.25]	tem aou oxygen silicate phosphate	5.132734	5.053192	4.710145	JGOFS_GO	10.185926
Atlantic	(27,27.25]	tem aou silicate phosphate phosphate_star	5.192439	4.929965	4.448113	JGOFS_GO	10.122404
Atlantic	(27,27.25]	tem oxygen phosphate phosphate_star	5.234406	4.949687	4.507371	JGOFS_GO	10.184093
Atlantic	(27,27.25]	tem oxygen silicate phosphate	5.156878	5.054717	4.711437	JGOFS_GO	10.211595
Atlantic	(27,27.25]	tem oxygen silicate phosphate phosphate_star	5.142108	4.888961	4.425074	JGOFS_GO	10.031069
Atlantic	(27.25,27.5]	aou oxygen phosphate phosphate_star	4.928107	4.403394	3.676872	GO_new	8.080267
Atlantic	(27.25,27.5]	aou oxygen silicate phosphate phosphate_star	4.915736	4.397225	3.652675	GO_new	8.049900
Atlantic	(27.25,27.5]	sal aou oxygen phosphate phosphate_star	4.902251	4.329200	3.676427	GO_new	8.005628
Atlantic	(27.25,27.5]	sal tem aou phosphate phosphate_star	4.823760	4.301531	3.657423	GO_new	7.958953
Atlantic	(27.25,27.5]	sal tem oxygen phosphate phosphate_star	4.777170	4.300744	3.649328	GO_new	7.950072
Atlantic	(27.25,27.5]	tem aou oxygen phosphate phosphate_star	4.772737	4.401334	3.650559	GO_new	8.051893
Atlantic	(27.25,27.5]	tem aou phosphate phosphate_star	4.869864	4.406926	3.657707	GO_new	8.064632
Atlantic	(27.25,27.5]	tem aou silicate phosphate phosphate_star	4.856829	4.394293	3.639306	GO_new	8.033599
Atlantic	(27.25,27.5]	tem oxygen phosphate phosphate_star	4.829126	4.427319	3.650830	GO_new	8.078149
Atlantic	(27.25,27.5]	tem oxygen silicate phosphate phosphate_star	4.808670	4.407059	3.638511	GO_new	8.045570
Atlantic	(27.25,27.5]	sal tem aou oxygen phosphate	4.685854	4.337938	3.941030	JGOFS_GO	9.023792
Atlantic	(27.25,27.5]	sal tem aou phosphate	4.825263	4.338114	3.941898	JGOFS_GO	9.163377
Atlantic	(27.25,27.5]	sal tem aou phosphate phosphate_star	4.823760	4.301531	3.657423	JGOFS_GO	9.125291
Atlantic	(27.25,27.5]	sal tem aou silicate phosphate	4.824954	4.332108	3.862285	JGOFS_GO	9.157061
Atlantic	(27.25,27.5]	sal tem oxygen phosphate	4.779201	4.346109	3.951432	JGOFS_GO	9.125310
Atlantic	(27.25,27.5]	sal tem oxygen phosphate phosphate_star	4.777170	4.300744	3.649328	JGOFS_GO	9.077914
Atlantic	(27.25,27.5]	sal tem oxygen silicate phosphate	4.779166	4.341614	3.878332	JGOFS_GO	9.120780
Atlantic	(27.25,27.5]	tem aou oxygen phosphate	4.776702	4.419883	3.945447	JGOFS_GO	9.196584
Atlantic	(27.25,27.5]	tem aou oxygen phosphate phosphate_star	4.772737	4.401334	3.650559	JGOFS_GO	9.174070
Atlantic	(27.25,27.5]	tem aou oxygen silicate phosphate	4.708352	4.417138	3.863306	JGOFS_GO	9.125490
Atlantic	(27.5,27.75]	aou oxygen silicate phosphate	4.185459	4.356671	4.334895	GO_new	8.691566
Atlantic	(27.5,27.75]	aou oxygen silicate phosphate phosphate_star	4.169785	4.343844	4.225606	GO_new	8.569449
Atlantic	(27.5,27.75]	sal aou oxygen silicate phosphate	4.174741	4.328080	4.306869	GO_new	8.634949
Atlantic	(27.5,27.75]	sal aou silicate phosphate phosphate_star	4.301244	4.424822	4.231676	GO_new	8.656499
Atlantic	(27.5,27.75]	sal tem aou silicate phosphate	4.161707	4.340464	4.307726	GO_new	8.648190
Atlantic	(27.5,27.75]	sal tem oxygen silicate phosphate	4.152754	4.352114	4.311898	GO_new	8.664012
Atlantic	(27.5,27.75]	tem aou oxygen silicate phosphate	4.152046	4.332673	4.334831	GO_new	8.667504
Atlantic	(27.5,27.75]	tem aou silicate phosphate	4.168309	4.368467	4.336453	GO_new	8.704921
Atlantic	(27.5,27.75]	tem aou silicate phosphate phosphate_star	4.152646	4.354761	4.230365	GO_new	8.585126
Atlantic	(27.5,27.75]	tem oxygen silicate phosphate phosphate_star	4.143670	4.370246	4.236112	GO_new	8.606358
Atlantic	(27.5,27.75]	aou oxygen silicate phosphate	4.185459	4.356671	4.334895	JGOFS_GO	8.542130
Atlantic	(27.5,27.75]	aou oxygen silicate phosphate phosphate_star	4.169785	4.343844	4.225606	JGOFS_GO	8.513629
Atlantic	(27.5,27.75]	sal aou oxygen silicate phosphate	4.174741	4.328080	4.306869	JGOFS_GO	8.502821
Atlantic	(27.5,27.75]	sal tem aou silicate phosphate	4.161707	4.340464	4.307726	JGOFS_GO	8.502171
Atlantic	(27.5,27.75]	sal tem oxygen silicate phosphate	4.152754	4.352114	4.311898	JGOFS_GO	8.504868
Atlantic	(27.5,27.75]	tem aou oxygen silicate phosphate	4.152046	4.332673	4.334831	JGOFS_GO	8.484719
Atlantic	(27.5,27.75]	tem aou silicate phosphate	4.168309	4.368467	4.336453	JGOFS_GO	8.536776
Atlantic	(27.5,27.75]	tem aou silicate phosphate phosphate_star	4.152646	4.354761	4.230365	JGOFS_GO	8.507407
Atlantic	(27.5,27.75]	tem oxygen silicate phosphate	4.158773	4.386122	4.340037	JGOFS_GO	8.544894
Atlantic	(27.5,27.75]	tem oxygen silicate phosphate phosphate_star	4.143670	4.370246	4.236112	JGOFS_GO	8.513916
Atlantic	(27.75,27.85]	aou oxygen silicate phosphate phosphate_star	4.196722	4.299163	6.038116	GO_new	10.337279
Atlantic	(27.75,27.85]	sal aou oxygen silicate phosphate	4.113685	4.277923	6.026571	GO_new	10.304494
Atlantic	(27.75,27.85]	sal aou silicate phosphate	4.120126	4.284911	6.051476	GO_new	10.336387
Atlantic	(27.75,27.85]	sal aou silicate phosphate phosphate_star	4.106682	4.277368	6.048439	GO_new	10.325807
Atlantic	(27.75,27.85]	sal oxygen silicate phosphate	4.121204	4.278115	6.042167	GO_new	10.320282
Atlantic	(27.75,27.85]	sal oxygen silicate phosphate phosphate_star	4.109309	4.270082	6.038244	GO_new	10.308327
Atlantic	(27.75,27.85]	sal tem aou silicate phosphate	4.114571	4.278130	6.036798	GO_new	10.314928
Atlantic	(27.75,27.85]	sal tem oxygen silicate phosphate	4.112834	4.277933	6.034910	GO_new	10.312842
Atlantic	(27.75,27.85]	tem aou oxygen silicate phosphate	4.200707	4.299464	5.985892	GO_new	10.285355
Atlantic	(27.75,27.85]	tem oxygen silicate phosphate phosphate_star	4.188746	4.295924	6.039920	GO_new	10.335844
Atlantic	(27.75,27.85]	aou oxygen silicate phosphate phosphate_star	4.196722	4.299163	6.038116	JGOFS_GO	8.495885
Atlantic	(27.75,27.85]	sal aou oxygen silicate phosphate	4.113685	4.277923	6.026571	JGOFS_GO	8.391608
Atlantic	(27.75,27.85]	sal aou silicate phosphate	4.120126	4.284911	6.051476	JGOFS_GO	8.405037
Atlantic	(27.75,27.85]	sal aou silicate phosphate phosphate_star	4.106682	4.277368	6.048439	JGOFS_GO	8.384051
Atlantic	(27.75,27.85]	sal oxygen silicate phosphate	4.121204	4.278115	6.042167	JGOFS_GO	8.399319
Atlantic	(27.75,27.85]	sal oxygen silicate phosphate phosphate_star	4.109309	4.270082	6.038244	JGOFS_GO	8.379391
Atlantic	(27.75,27.85]	sal tem aou silicate phosphate	4.114571	4.278130	6.036798	JGOFS_GO	8.392700
Atlantic	(27.75,27.85]	sal tem oxygen silicate phosphate	4.112834	4.277933	6.034910	JGOFS_GO	8.390766
Atlantic	(27.75,27.85]	tem aou silicate phosphate phosphate_star	4.191536	4.297340	6.042127	JGOFS_GO	8.488876
Atlantic	(27.75,27.85]	tem oxygen silicate phosphate phosphate_star	4.188746	4.295924	6.039920	JGOFS_GO	8.484670
Atlantic	(27.85,27.95]	sal aou oxygen silicate phosphate	3.728892	4.171368	4.839290	GO_new	9.010658
Atlantic	(27.85,27.95]	sal aou silicate phosphate	3.924663	4.617415	5.383637	GO_new	10.001052
Atlantic	(27.85,27.95]	sal aou silicate phosphate phosphate_star	3.894236	4.600712	5.375904	GO_new	9.976616
Atlantic	(27.85,27.95]	sal oxygen silicate phosphate	3.788985	4.443802	5.328717	GO_new	9.772519
Atlantic	(27.85,27.95]	sal oxygen silicate phosphate phosphate_star	3.771449	4.414214	5.307082	GO_new	9.721296
Atlantic	(27.85,27.95]	sal tem aou silicate phosphate	3.751565	4.193647	4.873647	GO_new	9.067294
Atlantic	(27.85,27.95]	sal tem oxygen silicate phosphate	3.740886	4.187591	4.873867	GO_new	9.061459
Atlantic	(27.85,27.95]	sal tem silicate phosphate	3.981572	4.291511	4.873938	GO_new	9.165448
Atlantic	(27.85,27.95]	sal tem silicate phosphate phosphate_star	3.880601	4.291497	4.833368	GO_new	9.124864
Atlantic	(27.85,27.95]	tem aou oxygen silicate phosphate	4.212035	4.851104	5.267509	GO_new	10.118613
Atlantic	(27.85,27.95]	sal aou oxygen silicate phosphate	3.728892	4.171368	4.839290	JGOFS_GO	7.900259
Atlantic	(27.85,27.95]	sal aou silicate phosphate	3.924663	4.617415	5.383637	JGOFS_GO	8.542077
Atlantic	(27.85,27.95]	sal aou silicate phosphate phosphate_star	3.894236	4.600712	5.375904	JGOFS_GO	8.494948
Atlantic	(27.85,27.95]	sal oxygen silicate phosphate	3.788985	4.443802	5.328717	JGOFS_GO	8.232787
Atlantic	(27.85,27.95]	sal oxygen silicate phosphate phosphate_star	3.771449	4.414214	5.307082	JGOFS_GO	8.185663
Atlantic	(27.85,27.95]	sal silicate phosphate phosphate_star	4.141855	4.897347	5.381931	JGOFS_GO	9.039202
Atlantic	(27.85,27.95]	sal tem aou silicate phosphate	3.751565	4.193647	4.873647	JGOFS_GO	7.945212
Atlantic	(27.85,27.95]	sal tem oxygen silicate phosphate	3.740886	4.187591	4.873867	JGOFS_GO	7.928478
Atlantic	(27.85,27.95]	sal tem silicate phosphate	3.981572	4.291511	4.873938	JGOFS_GO	8.273083
Atlantic	(27.85,27.95]	sal tem silicate phosphate phosphate_star	3.880601	4.291497	4.833368	JGOFS_GO	8.172097
Atlantic	(27.95,28.05]	sal aou oxygen silicate phosphate	3.487770	4.363515	4.820087	GO_new	9.183601
Atlantic	(27.95,28.05]	sal aou silicate phosphate	3.757788	4.574558	5.190912	GO_new	9.765470
Atlantic	(27.95,28.05]	sal aou silicate phosphate phosphate_star	3.750648	4.565335	5.100329	GO_new	9.665664
Atlantic	(27.95,28.05]	sal oxygen silicate phosphate	3.570686	4.398756	5.020607	GO_new	9.419363
Atlantic	(27.95,28.05]	sal oxygen silicate phosphate phosphate_star	3.570396	4.378362	4.875191	GO_new	9.253553
Atlantic	(27.95,28.05]	sal tem aou oxygen phosphate	3.755336	4.367751	4.799080	GO_new	9.166831
Atlantic	(27.95,28.05]	sal tem aou silicate phosphate	3.508118	4.406907	4.931814	GO_new	9.338721
Atlantic	(27.95,28.05]	sal tem oxygen silicate phosphate	3.498901	4.381935	4.910557	GO_new	9.292492
Atlantic	(27.95,28.05]	sal tem silicate phosphate	3.758011	4.813288	4.988962	GO_new	9.802249
Atlantic	(27.95,28.05]	sal tem silicate phosphate phosphate_star	3.755808	4.805916	4.861915	GO_new	9.667831
Atlantic	(27.95,28.05]	sal aou oxygen silicate phosphate	3.487770	4.363515	4.820087	JGOFS_GO	7.851285
Atlantic	(27.95,28.05]	sal aou silicate phosphate	3.757788	4.574558	5.190912	JGOFS_GO	8.332346
Atlantic	(27.95,28.05]	sal aou silicate phosphate phosphate_star	3.750648	4.565335	5.100329	JGOFS_GO	8.315983
Atlantic	(27.95,28.05]	sal oxygen silicate phosphate	3.570686	4.398756	5.020607	JGOFS_GO	7.969442
Atlantic	(27.95,28.05]	sal oxygen silicate phosphate phosphate_star	3.570396	4.378362	4.875191	JGOFS_GO	7.948758
Atlantic	(27.95,28.05]	sal tem aou oxygen phosphate	3.755336	4.367751	4.799080	JGOFS_GO	8.123088
Atlantic	(27.95,28.05]	sal tem aou silicate phosphate	3.508118	4.406907	4.931814	JGOFS_GO	7.915025
Atlantic	(27.95,28.05]	sal tem oxygen phosphate	3.776519	4.629008	5.393715	JGOFS_GO	8.405527
Atlantic	(27.95,28.05]	sal tem oxygen phosphate phosphate_star	3.771038	4.628018	5.306430	JGOFS_GO	8.399056
Atlantic	(27.95,28.05]	sal tem oxygen silicate phosphate	3.498901	4.381935	4.910557	JGOFS_GO	7.880836
Atlantic	(28.05,28.1]	sal aou oxygen silicate phosphate	3.554108	4.594985	4.529410	GO_new	9.124395
Atlantic	(28.05,28.1]	sal oxygen silicate phosphate	3.555467	4.604476	4.534233	GO_new	9.138709
Atlantic	(28.05,28.1]	sal oxygen silicate phosphate phosphate_star	3.548422	4.588242	4.447473	GO_new	9.035715
Atlantic	(28.05,28.1]	sal tem aou oxygen phosphate	3.539499	4.360234	4.144983	GO_new	8.505217
Atlantic	(28.05,28.1]	sal tem oxygen phosphate	3.557078	4.627894	4.416199	GO_new	9.044093
Atlantic	(28.05,28.1]	sal tem oxygen phosphate phosphate_star	3.554312	4.623523	4.356252	GO_new	8.979775
Atlantic	(28.05,28.1]	sal tem oxygen silicate phosphate	3.531111	4.577761	4.415293	GO_new	8.993054
Atlantic	(28.05,28.1]	tem aou oxygen phosphate	3.737933	4.455027	4.228193	GO_new	8.683219
Atlantic	(28.05,28.1]	tem aou oxygen phosphate phosphate_star	3.737328	4.451323	4.186888	GO_new	8.638211
Atlantic	(28.05,28.1]	tem aou oxygen silicate phosphate	3.643192	4.334898	4.117142	GO_new	8.452040
Atlantic	(28.05,28.1]	sal aou oxygen silicate phosphate	3.554108	4.594985	4.529410	JGOFS_GO	8.149093
Atlantic	(28.05,28.1]	sal oxygen silicate phosphate	3.555467	4.604476	4.534233	JGOFS_GO	8.159944
Atlantic	(28.05,28.1]	sal oxygen silicate phosphate phosphate_star	3.548422	4.588242	4.447473	JGOFS_GO	8.136665
Atlantic	(28.05,28.1]	sal tem aou oxygen phosphate	3.539499	4.360234	4.144983	JGOFS_GO	7.899734
Atlantic	(28.05,28.1]	sal tem oxygen phosphate	3.557078	4.627894	4.416199	JGOFS_GO	8.184972
Atlantic	(28.05,28.1]	sal tem oxygen phosphate phosphate_star	3.554312	4.623523	4.356252	JGOFS_GO	8.177835
Atlantic	(28.05,28.1]	sal tem oxygen silicate phosphate	3.531111	4.577761	4.415293	JGOFS_GO	8.108872
Atlantic	(28.05,28.1]	tem aou oxygen phosphate	3.737933	4.455027	4.228193	JGOFS_GO	8.192960
Atlantic	(28.05,28.1]	tem aou oxygen phosphate phosphate_star	3.737328	4.451323	4.186888	JGOFS_GO	8.188652
Atlantic	(28.05,28.1]	tem aou oxygen silicate phosphate	3.643192	4.334898	4.117142	JGOFS_GO	7.978090
Atlantic	(28.1,28.15]	sal tem aou oxygen phosphate	3.440411	3.952540	4.211635	GO_new	8.164175
Atlantic	(28.1,28.15]	sal tem oxygen phosphate	3.449525	3.962887	4.254795	GO_new	8.217683
Atlantic	(28.1,28.15]	sal tem oxygen phosphate phosphate_star	3.448754	3.962868	4.243864	GO_new	8.206731
Atlantic	(28.1,28.15]	sal tem oxygen silicate phosphate	3.349308	3.947860	4.254217	GO_new	8.202077
Atlantic	(28.1,28.15]	tem aou oxygen phosphate	3.542305	3.993360	4.220084	GO_new	8.213444
Atlantic	(28.1,28.15]	tem aou oxygen phosphate phosphate_star	3.542289	3.992478	4.211446	GO_new	8.203924
Atlantic	(28.1,28.15]	tem aou oxygen silicate phosphate	3.436793	3.969257	4.216057	GO_new	8.185314
Atlantic	(28.1,28.15]	tem oxygen phosphate phosphate_star	3.580534	3.998181	4.244196	GO_new	8.242377
Atlantic	(28.1,28.15]	tem oxygen silicate phosphate	3.437071	3.982172	4.255279	GO_new	8.237451
Atlantic	(28.1,28.15]	tem oxygen silicate phosphate phosphate_star	3.430280	3.982169	4.243363	GO_new	8.225532
Atlantic	(28.1,28.15]	sal tem aou oxygen phosphate	3.440411	3.952540	4.211635	JGOFS_GO	7.392951
Atlantic	(28.1,28.15]	sal tem aou phosphate	3.446107	4.022588	4.322003	JGOFS_GO	7.468695
Atlantic	(28.1,28.15]	sal tem aou phosphate phosphate_star	3.443507	4.022545	4.312806	JGOFS_GO	7.466052
Atlantic	(28.1,28.15]	sal tem aou silicate phosphate	3.390856	4.014727	4.319062	JGOFS_GO	7.405583
Atlantic	(28.1,28.15]	sal tem oxygen phosphate	3.449525	3.962887	4.254795	JGOFS_GO	7.412412
Atlantic	(28.1,28.15]	sal tem oxygen phosphate phosphate_star	3.448754	3.962868	4.243864	JGOFS_GO	7.411621
Atlantic	(28.1,28.15]	sal tem oxygen silicate phosphate	3.349308	3.947860	4.254217	JGOFS_GO	7.297169
Atlantic	(28.1,28.15]	tem aou oxygen silicate phosphate	3.436793	3.969257	4.216057	JGOFS_GO	7.406050
Atlantic	(28.1,28.15]	tem oxygen silicate phosphate	3.437071	3.982172	4.255279	JGOFS_GO	7.419244
Atlantic	(28.1,28.15]	tem oxygen silicate phosphate phosphate_star	3.430280	3.982169	4.243363	JGOFS_GO	7.412449
Atlantic	(28.15,28.2]	sal aou oxygen phosphate	3.719217	3.607575	2.956477	GO_new	6.564051
Atlantic	(28.15,28.2]	sal aou oxygen phosphate phosphate_star	3.705570	3.607523	2.955392	GO_new	6.562915
Atlantic	(28.15,28.2]	sal aou oxygen silicate phosphate	3.713912	3.607352	2.914045	GO_new	6.521397
Atlantic	(28.15,28.2]	sal tem aou oxygen phosphate	3.719163	3.607541	2.836143	GO_new	6.443684
Atlantic	(28.15,28.2]	sal tem aou phosphate	3.740143	3.669008	2.837785	GO_new	6.506793
Atlantic	(28.15,28.2]	sal tem aou phosphate phosphate_star	3.727244	3.668400	2.837066	GO_new	6.505465
Atlantic	(28.15,28.2]	sal tem aou silicate phosphate	3.739761	3.662219	2.835064	GO_new	6.497283
Atlantic	(28.15,28.2]	sal tem oxygen phosphate	3.784450	3.728657	2.836701	GO_new	6.565357
Atlantic	(28.15,28.2]	sal tem oxygen phosphate phosphate_star	3.777038	3.727122	2.835243	GO_new	6.562365
Atlantic	(28.15,28.2]	sal tem oxygen silicate phosphate	3.775192	3.711973	2.836415	GO_new	6.548388
Atlantic	(28.15,28.2]	aou oxygen phosphate phosphate_star	3.728499	3.613464	3.299095	JGOFS_GO	7.341963
Atlantic	(28.15,28.2]	aou oxygen silicate phosphate	3.734757	3.612748	3.273437	JGOFS_GO	7.347504
Atlantic	(28.15,28.2]	aou oxygen silicate phosphate phosphate_star	3.724405	3.612318	3.273332	JGOFS_GO	7.336723
Atlantic	(28.15,28.2]	sal aou oxygen phosphate	3.719217	3.607575	2.956477	JGOFS_GO	7.326792
Atlantic	(28.15,28.2]	sal aou oxygen phosphate phosphate_star	3.705570	3.607523	2.955392	JGOFS_GO	7.313092
Atlantic	(28.15,28.2]	sal aou oxygen silicate phosphate	3.713912	3.607352	2.914045	JGOFS_GO	7.321265
Atlantic	(28.15,28.2]	sal tem aou oxygen phosphate	3.719163	3.607541	2.836143	JGOFS_GO	7.326704
Atlantic	(28.15,28.2]	tem aou oxygen phosphate	3.741996	3.613081	3.058115	JGOFS_GO	7.355077
Atlantic	(28.15,28.2]	tem aou oxygen phosphate phosphate_star	3.724763	3.612911	3.057968	JGOFS_GO	7.337675
Atlantic	(28.15,28.2]	tem aou oxygen silicate phosphate	3.734578	3.612631	3.055977	JGOFS_GO	7.347209
Atlantic	(28.2, Inf]	sal aou oxygen phosphate	3.378104	3.057832	2.767543	GO_new	5.825375
Atlantic	(28.2, Inf]	sal aou oxygen phosphate phosphate_star	3.376522	3.052250	2.763926	GO_new	5.816176
Atlantic	(28.2, Inf]	sal aou oxygen silicate phosphate	3.358320	3.057387	2.767527	GO_new	5.824913
Atlantic	(28.2, Inf]	sal tem aou oxygen phosphate	3.337999	3.057466	2.685083	GO_new	5.742550
Atlantic	(28.2, Inf]	sal tem aou phosphate	3.472721	3.059318	2.700720	GO_new	5.760038
Atlantic	(28.2, Inf]	sal tem aou phosphate phosphate_star	3.471029	3.052605	2.692778	GO_new	5.745383
Atlantic	(28.2, Inf]	sal tem aou silicate phosphate	3.425561	3.059270	2.696506	GO_new	5.755776
Atlantic	(28.2, Inf]	sal tem oxygen phosphate	3.600320	3.064399	2.685121	GO_new	5.749520
Atlantic	(28.2, Inf]	sal tem oxygen phosphate phosphate_star	3.599945	3.062381	2.680031	GO_new	5.742412
Atlantic	(28.2, Inf]	sal tem oxygen silicate phosphate	3.502342	3.059982	2.676045	GO_new	5.736027
Atlantic	(28.2, Inf]	sal aou oxygen phosphate	3.378104	3.057832	2.767543	JGOFS_GO	6.435936
Atlantic	(28.2, Inf]	sal aou oxygen phosphate phosphate_star	3.376522	3.052250	2.763926	JGOFS_GO	6.428771
Atlantic	(28.2, Inf]	sal aou oxygen silicate phosphate	3.358320	3.057387	2.767527	JGOFS_GO	6.415706
Atlantic	(28.2, Inf]	sal aou silicate phosphate phosphate_star	3.505718	3.055682	2.822839	JGOFS_GO	6.561400
Atlantic	(28.2, Inf]	sal tem aou oxygen phosphate	3.337999	3.057466	2.685083	JGOFS_GO	6.395466
Atlantic	(28.2, Inf]	sal tem aou phosphate	3.472721	3.059318	2.700720	JGOFS_GO	6.532039
Atlantic	(28.2, Inf]	sal tem aou phosphate phosphate_star	3.471029	3.052605	2.692778	JGOFS_GO	6.523634
Atlantic	(28.2, Inf]	sal tem aou silicate phosphate	3.425561	3.059270	2.696506	JGOFS_GO	6.484831
Atlantic	(28.2, Inf]	sal tem oxygen silicate phosphate	3.502342	3.059982	2.676045	JGOFS_GO	6.562324
Atlantic	(28.2, Inf]	tem aou oxygen silicate phosphate	3.361576	3.187744	2.736479	JGOFS_GO	6.549320
Indo-Pacific	(-Inf,26]	sal aou oxygen phosphate phosphate_star	11.656608	6.900704	4.749102	GO_new	11.649807
Indo-Pacific	(-Inf,26]	sal aou oxygen phosphate_star	12.769133	7.364871	5.325199	GO_new	12.690070
Indo-Pacific	(-Inf,26]	sal aou oxygen silicate phosphate_star	12.764693	7.364804	5.282054	GO_new	12.646857
Indo-Pacific	(-Inf,26]	sal tem aou oxygen phosphate_star	12.529402	7.077213	5.306486	GO_new	12.383699
Indo-Pacific	(-Inf,26]	sal tem aou phosphate phosphate_star	11.727854	6.878761	4.969301	GO_new	11.848062
Indo-Pacific	(-Inf,26]	sal tem aou phosphate_star	12.598968	7.121582	5.331316	GO_new	12.452898
Indo-Pacific	(-Inf,26]	sal tem aou silicate phosphate_star	12.589079	7.121562	5.271127	GO_new	12.392689
Indo-Pacific	(-Inf,26]	sal tem oxygen phosphate phosphate_star	11.772722	6.912573	5.115444	GO_new	12.028017
Indo-Pacific	(-Inf,26]	sal tem oxygen phosphate_star	12.571709	7.084201	5.382382	GO_new	12.466583
Indo-Pacific	(-Inf,26]	sal tem oxygen silicate phosphate_star	12.560468	7.084183	5.319801	GO_new	12.403985
Indo-Pacific	(-Inf,26]	sal aou oxygen phosphate	11.847558	7.595246	6.039579	JGOFS_GO	19.442804
Indo-Pacific	(-Inf,26]	sal aou oxygen phosphate phosphate_star	11.656608	6.900704	4.749102	JGOFS_GO	18.557312
Indo-Pacific	(-Inf,26]	sal aou oxygen silicate phosphate	11.589172	7.158929	5.647250	JGOFS_GO	18.748101
Indo-Pacific	(-Inf,26]	sal tem aou oxygen phosphate	11.835399	7.592149	6.002886	JGOFS_GO	19.427548
Indo-Pacific	(-Inf,26]	sal tem aou phosphate	11.936886	7.625869	6.166738	JGOFS_GO	19.562755
Indo-Pacific	(-Inf,26]	sal tem aou phosphate phosphate_star	11.727854	6.878761	4.969301	JGOFS_GO	18.606615
Indo-Pacific	(-Inf,26]	sal tem aou silicate phosphate	11.658578	7.235892	5.850663	JGOFS_GO	18.894470
Indo-Pacific	(-Inf,26]	sal tem oxygen phosphate phosphate_star	11.772722	6.912573	5.115444	JGOFS_GO	18.685295
Indo-Pacific	(-Inf,26]	sal tem oxygen silicate phosphate	11.696367	7.284738	5.951189	JGOFS_GO	18.981104
Indo-Pacific	(-Inf,26]	tem oxygen silicate phosphate phosphate_star	12.209892	7.343438	5.629163	JGOFS_GO	19.553330
Indo-Pacific	(26,26.5]	sal aou oxygen phosphate	7.963659	5.385492	4.254610	GO_new	9.640102
Indo-Pacific	(26,26.5]	sal aou oxygen phosphate phosphate_star	7.817898	5.210436	3.950876	GO_new	9.161313
Indo-Pacific	(26,26.5]	sal aou oxygen silicate phosphate	7.855393	5.186663	3.936596	GO_new	9.123259
Indo-Pacific	(26,26.5]	sal tem aou oxygen phosphate	7.962543	5.284439	4.249030	GO_new	9.533469
Indo-Pacific	(26,26.5]	sal tem aou phosphate	8.017736	5.296122	4.291014	GO_new	9.587136
Indo-Pacific	(26,26.5]	sal tem aou phosphate phosphate_star	7.880514	5.109471	3.991869	GO_new	9.101339
Indo-Pacific	(26,26.5]	sal tem aou silicate phosphate	7.929705	5.144796	4.013896	GO_new	9.158692
Indo-Pacific	(26,26.5]	sal tem oxygen phosphate	8.048135	5.285536	4.311661	GO_new	9.597197
Indo-Pacific	(26,26.5]	sal tem oxygen phosphate phosphate_star	7.921449	5.102455	4.024452	GO_new	9.126907
Indo-Pacific	(26,26.5]	sal tem oxygen silicate phosphate	7.966619	5.154135	4.053536	GO_new	9.207672
Indo-Pacific	(26,26.5]	sal aou oxygen phosphate	7.963659	5.385492	4.254610	JGOFS_GO	13.349150
Indo-Pacific	(26,26.5]	sal aou oxygen phosphate phosphate_star	7.817898	5.210436	3.950876	JGOFS_GO	13.028334
Indo-Pacific	(26,26.5]	sal aou oxygen silicate phosphate	7.855393	5.186663	3.936596	JGOFS_GO	13.042057
Indo-Pacific	(26,26.5]	sal tem aou oxygen phosphate	7.962543	5.284439	4.249030	JGOFS_GO	13.246982
Indo-Pacific	(26,26.5]	sal tem aou phosphate	8.017736	5.296122	4.291014	JGOFS_GO	13.313858
Indo-Pacific	(26,26.5]	sal tem aou phosphate phosphate_star	7.880514	5.109471	3.991869	JGOFS_GO	12.989985
Indo-Pacific	(26,26.5]	sal tem aou silicate phosphate	7.929705	5.144796	4.013896	JGOFS_GO	13.074501
Indo-Pacific	(26,26.5]	sal tem oxygen phosphate	8.048135	5.285536	4.311661	JGOFS_GO	13.333671
Indo-Pacific	(26,26.5]	sal tem oxygen phosphate phosphate_star	7.921449	5.102455	4.024452	JGOFS_GO	13.023904
Indo-Pacific	(26,26.5]	sal tem oxygen silicate phosphate	7.966619	5.154135	4.053536	JGOFS_GO	13.120755
Indo-Pacific	(26.5,26.75]	aou oxygen silicate phosphate phosphate_star	6.122193	5.834373	4.451642	GO_new	10.286015
Indo-Pacific	(26.5,26.75]	sal aou oxygen phosphate	5.972964	5.687005	4.633021	GO_new	10.320025
Indo-Pacific	(26.5,26.75]	sal aou oxygen phosphate phosphate_star	5.629568	5.427048	4.202174	GO_new	9.629222
Indo-Pacific	(26.5,26.75]	sal aou oxygen silicate phosphate	5.889764	5.680903	4.559978	GO_new	10.240881
Indo-Pacific	(26.5,26.75]	sal tem aou oxygen phosphate	5.970854	5.686979	4.616972	GO_new	10.303950
Indo-Pacific	(26.5,26.75]	sal tem aou phosphate phosphate_star	5.730080	5.467521	4.284679	GO_new	9.752200
Indo-Pacific	(26.5,26.75]	sal tem aou silicate phosphate	6.032011	5.697592	4.657965	GO_new	10.355557
Indo-Pacific	(26.5,26.75]	sal tem oxygen phosphate phosphate_star	5.794994	5.507934	4.346552	GO_new	9.854487
Indo-Pacific	(26.5,26.75]	tem aou oxygen phosphate phosphate_star	6.099615	5.833885	4.575006	GO_new	10.408891
Indo-Pacific	(26.5,26.75]	tem aou silicate phosphate phosphate_star	6.164107	5.845334	4.567769	GO_new	10.413103
Indo-Pacific	(26.5,26.75]	sal aou oxygen phosphate	5.972964	5.687005	4.633021	JGOFS_GO	11.659969
Indo-Pacific	(26.5,26.75]	sal aou oxygen phosphate phosphate_star	5.629568	5.427048	4.202174	JGOFS_GO	11.056615
Indo-Pacific	(26.5,26.75]	sal aou oxygen silicate phosphate	5.889764	5.680903	4.559978	JGOFS_GO	11.570667
Indo-Pacific	(26.5,26.75]	sal tem aou oxygen phosphate	5.970854	5.686979	4.616972	JGOFS_GO	11.657833
Indo-Pacific	(26.5,26.75]	sal tem aou phosphate	6.059163	5.723138	4.713418	JGOFS_GO	11.782301
Indo-Pacific	(26.5,26.75]	sal tem aou phosphate phosphate_star	5.730080	5.467521	4.284679	JGOFS_GO	11.197600
Indo-Pacific	(26.5,26.75]	sal tem aou silicate phosphate	6.032011	5.697592	4.657965	JGOFS_GO	11.729603
Indo-Pacific	(26.5,26.75]	sal tem oxygen phosphate	6.103238	5.751476	4.758447	JGOFS_GO	11.854714
Indo-Pacific	(26.5,26.75]	sal tem oxygen phosphate phosphate_star	5.794994	5.507934	4.346552	JGOFS_GO	11.302928
Indo-Pacific	(26.5,26.75]	sal tem oxygen silicate phosphate	6.085625	5.714345	4.714702	JGOFS_GO	11.799970
Indo-Pacific	(26.75,27]	aou oxygen phosphate phosphate_star	6.567840	5.032576	4.153259	GO_new	9.185835
Indo-Pacific	(26.75,27]	aou oxygen silicate phosphate phosphate_star	6.488004	4.974323	4.153212	GO_new	9.127535
Indo-Pacific	(26.75,27]	sal aou oxygen phosphate phosphate_star	6.533269	4.972238	4.046389	GO_new	9.018627
Indo-Pacific	(26.75,27]	sal aou oxygen silicate phosphate	6.552579	5.062787	4.418776	GO_new	9.481563
Indo-Pacific	(26.75,27]	sal tem aou oxygen phosphate	6.516743	5.021419	4.249032	GO_new	9.270450
Indo-Pacific	(26.75,27]	sal tem aou phosphate phosphate_star	6.645887	5.160774	4.250747	GO_new	9.411521
Indo-Pacific	(26.75,27]	tem aou oxygen phosphate	6.520101	5.023021	4.262325	GO_new	9.285346
Indo-Pacific	(26.75,27]	tem aou oxygen phosphate phosphate_star	6.482046	4.918858	4.030858	GO_new	8.949716
Indo-Pacific	(26.75,27]	tem aou oxygen silicate phosphate	6.492756	4.983055	4.222006	GO_new	9.205061
Indo-Pacific	(26.75,27]	tem aou silicate phosphate phosphate_star	6.519436	5.038575	4.287497	GO_new	9.326072
Indo-Pacific	(26.75,27]	aou oxygen phosphate phosphate_star	6.567840	5.032576	4.153259	JGOFS_GO	11.600415
Indo-Pacific	(26.75,27]	aou oxygen silicate phosphate phosphate_star	6.488004	4.974323	4.153212	JGOFS_GO	11.462326
Indo-Pacific	(26.75,27]	sal aou oxygen phosphate phosphate_star	6.533269	4.972238	4.046389	JGOFS_GO	11.505507
Indo-Pacific	(26.75,27]	sal aou oxygen silicate phosphate	6.552579	5.062787	4.418776	JGOFS_GO	11.615365
Indo-Pacific	(26.75,27]	sal tem aou oxygen phosphate	6.516743	5.021419	4.249032	JGOFS_GO	11.538162
Indo-Pacific	(26.75,27]	tem aou oxygen phosphate	6.520101	5.023021	4.262325	JGOFS_GO	11.543122
Indo-Pacific	(26.75,27]	tem aou oxygen phosphate phosphate_star	6.482046	4.918858	4.030858	JGOFS_GO	11.400905
Indo-Pacific	(26.75,27]	tem aou oxygen silicate phosphate	6.492756	4.983055	4.222006	JGOFS_GO	11.475811
Indo-Pacific	(26.75,27]	tem aou silicate phosphate phosphate_star	6.519436	5.038575	4.287497	JGOFS_GO	11.558011
Indo-Pacific	(26.75,27]	tem oxygen silicate phosphate phosphate_star	6.555616	5.102646	4.381077	JGOFS_GO	11.658262
Indo-Pacific	(27,27.25]	sal aou oxygen silicate phosphate	6.377139	4.600567	4.107446	GO_new	8.708013
Indo-Pacific	(27,27.25]	sal aou silicate phosphate	6.502600	4.606489	4.126122	GO_new	8.732612
Indo-Pacific	(27,27.25]	sal aou silicate phosphate phosphate_star	6.447889	4.602734	4.121767	GO_new	8.724501
Indo-Pacific	(27,27.25]	sal oxygen silicate phosphate	6.637191	4.669657	4.196447	GO_new	8.866105
Indo-Pacific	(27,27.25]	sal oxygen silicate phosphate phosphate_star	6.607333	4.637326	4.164739	GO_new	8.802065
Indo-Pacific	(27,27.25]	sal tem aou oxygen phosphate	5.996869	4.633491	4.166144	GO_new	8.799635
Indo-Pacific	(27,27.25]	sal tem aou silicate phosphate	6.492264	4.606457	4.119478	GO_new	8.725935
Indo-Pacific	(27,27.25]	sal tem oxygen silicate phosphate	6.598846	4.645770	4.146776	GO_new	8.792546
Indo-Pacific	(27,27.25]	tem aou oxygen phosphate phosphate_star	6.022258	4.653828	4.163487	GO_new	8.817314
Indo-Pacific	(27,27.25]	tem aou oxygen silicate phosphate	5.981049	4.528738	4.048207	GO_new	8.576944
Indo-Pacific	(27,27.25]	aou oxygen silicate phosphate phosphate_star	6.295462	4.771569	4.373833	JGOFS_GO	11.067031
Indo-Pacific	(27,27.25]	sal aou oxygen phosphate phosphate_star	6.376268	4.788951	4.174627	JGOFS_GO	11.165219
Indo-Pacific	(27,27.25]	sal aou oxygen silicate phosphate	6.377139	4.600567	4.107446	JGOFS_GO	10.977706
Indo-Pacific	(27,27.25]	sal aou silicate phosphate	6.502600	4.606489	4.126122	JGOFS_GO	11.109089
Indo-Pacific	(27,27.25]	sal aou silicate phosphate phosphate_star	6.447889	4.602734	4.121767	JGOFS_GO	11.050623
Indo-Pacific	(27,27.25]	sal tem aou oxygen phosphate	5.996869	4.633491	4.166144	JGOFS_GO	10.630360
Indo-Pacific	(27,27.25]	sal tem aou silicate phosphate	6.492264	4.606457	4.119478	JGOFS_GO	11.098720
Indo-Pacific	(27,27.25]	tem aou oxygen phosphate	6.024170	4.749439	4.304603	JGOFS_GO	10.773609
Indo-Pacific	(27,27.25]	tem aou oxygen phosphate phosphate_star	6.022258	4.653828	4.163487	JGOFS_GO	10.676085
Indo-Pacific	(27,27.25]	tem aou oxygen silicate phosphate	5.981049	4.528738	4.048207	JGOFS_GO	10.509787
Indo-Pacific	(27.25,27.5]	sal aou oxygen silicate phosphate	5.216429	4.018839	3.243081	GO_new	7.261920
Indo-Pacific	(27.25,27.5]	sal aou silicate phosphate	5.887406	4.073478	3.274598	GO_new	7.348076
Indo-Pacific	(27.25,27.5]	sal aou silicate phosphate phosphate_star	5.884313	4.057400	3.239888	GO_new	7.297288
Indo-Pacific	(27.25,27.5]	sal oxygen silicate phosphate	6.224706	4.175784	3.344478	GO_new	7.520262
Indo-Pacific	(27.25,27.5]	sal oxygen silicate phosphate phosphate_star	6.202470	4.122692	3.270607	GO_new	7.393299
Indo-Pacific	(27.25,27.5]	sal tem aou oxygen phosphate	4.831746	4.155836	3.627177	GO_new	7.783013
Indo-Pacific	(27.25,27.5]	sal tem aou silicate phosphate	5.541110	4.045015	3.247152	GO_new	7.292167
Indo-Pacific	(27.25,27.5]	sal tem oxygen silicate phosphate	5.764252	4.080878	3.253916	GO_new	7.334795
Indo-Pacific	(27.25,27.5]	tem aou oxygen phosphate phosphate_star	4.832492	4.091347	3.647515	GO_new	7.738862
Indo-Pacific	(27.25,27.5]	tem aou oxygen silicate phosphate	4.804957	3.917807	3.527790	GO_new	7.445597
Indo-Pacific	(27.25,27.5]	aou oxygen phosphate phosphate_star	5.199698	4.325631	3.727673	JGOFS_GO	9.525329
Indo-Pacific	(27.25,27.5]	aou oxygen silicate phosphate	5.256328	4.249877	3.717904	JGOFS_GO	9.506205
Indo-Pacific	(27.25,27.5]	aou oxygen silicate phosphate phosphate_star	5.196364	4.223141	3.679102	JGOFS_GO	9.419505
Indo-Pacific	(27.25,27.5]	sal aou oxygen phosphate phosphate_star	5.168633	4.254738	3.564507	JGOFS_GO	9.423371
Indo-Pacific	(27.25,27.5]	sal aou oxygen silicate phosphate	5.216429	4.018839	3.243081	JGOFS_GO	9.235268
Indo-Pacific	(27.25,27.5]	sal tem aou oxygen phosphate	4.831746	4.155836	3.627177	JGOFS_GO	8.987582
Indo-Pacific	(27.25,27.5]	sal tem aou silicate phosphate	5.541110	4.045015	3.247152	JGOFS_GO	9.586125
Indo-Pacific	(27.25,27.5]	tem aou oxygen phosphate	4.835593	4.187854	3.729263	JGOFS_GO	9.023448
Indo-Pacific	(27.25,27.5]	tem aou oxygen phosphate phosphate_star	4.832492	4.091347	3.647515	JGOFS_GO	8.923840
Indo-Pacific	(27.25,27.5]	tem aou oxygen silicate phosphate	4.804957	3.917807	3.527790	JGOFS_GO	8.722764
Indo-Pacific	(27.5,27.75]	sal aou oxygen phosphate phosphate_star	4.656269	3.859073	3.334569	GO_new	7.193642
Indo-Pacific	(27.5,27.75]	sal aou oxygen silicate phosphate	4.655491	3.688018	2.968149	GO_new	6.656167
Indo-Pacific	(27.5,27.75]	sal aou silicate phosphate	5.508979	3.887577	3.110524	GO_new	6.998102
Indo-Pacific	(27.5,27.75]	sal aou silicate phosphate phosphate_star	5.411099	3.846221	3.012520	GO_new	6.858740
Indo-Pacific	(27.5,27.75]	sal oxygen silicate phosphate phosphate_star	5.823775	4.020551	3.081797	GO_new	7.102349
Indo-Pacific	(27.5,27.75]	sal tem aou phosphate phosphate_star	4.826586	3.866114	3.339474	GO_new	7.205588
Indo-Pacific	(27.5,27.75]	sal tem aou silicate phosphate	4.822537	3.696125	2.966581	GO_new	6.662706
Indo-Pacific	(27.5,27.75]	sal tem oxygen phosphate phosphate_star	4.957076	3.880539	3.344942	GO_new	7.225482
Indo-Pacific	(27.5,27.75]	sal tem oxygen silicate phosphate	4.949934	3.708516	2.965966	GO_new	6.674482
Indo-Pacific	(27.5,27.75]	tem aou oxygen silicate phosphate	4.386458	3.842393	3.290961	GO_new	7.133354
Indo-Pacific	(27.5,27.75]	aou oxygen silicate phosphate	4.661280	3.857603	3.411337	JGOFS_GO	8.518883
Indo-Pacific	(27.5,27.75]	aou oxygen silicate phosphate phosphate_star	4.660946	3.857583	3.409260	JGOFS_GO	8.518529
Indo-Pacific	(27.5,27.75]	sal aou oxygen phosphate	4.656383	3.885574	3.372534	JGOFS_GO	8.541957
Indo-Pacific	(27.5,27.75]	sal aou oxygen phosphate phosphate_star	4.656269	3.859073	3.334569	JGOFS_GO	8.515342
Indo-Pacific	(27.5,27.75]	sal aou oxygen silicate phosphate	4.655491	3.688018	2.968149	JGOFS_GO	8.343509
Indo-Pacific	(27.5,27.75]	sal tem aou oxygen phosphate	4.409996	3.883718	3.371011	JGOFS_GO	8.293714
Indo-Pacific	(27.5,27.75]	sal tem aou silicate phosphate	4.822537	3.696125	2.966581	JGOFS_GO	8.518662
Indo-Pacific	(27.5,27.75]	tem aou oxygen phosphate	4.410507	3.921164	3.429891	JGOFS_GO	8.331671
Indo-Pacific	(27.5,27.75]	tem aou oxygen phosphate phosphate_star	4.409247	3.912393	3.405050	JGOFS_GO	8.321640
Indo-Pacific	(27.5,27.75]	tem aou oxygen silicate phosphate	4.386458	3.842393	3.290961	JGOFS_GO	8.228851
Indo-Pacific	(27.75,27.85]	aou oxygen silicate phosphate	4.249542	3.356084	2.945707	GO_new	6.301792
Indo-Pacific	(27.75,27.85]	aou oxygen silicate phosphate phosphate_star	4.245475	3.332871	2.938537	GO_new	6.271408
Indo-Pacific	(27.75,27.85]	sal aou oxygen silicate phosphate	4.235175	3.347718	2.896917	GO_new	6.244636
Indo-Pacific	(27.75,27.85]	sal tem aou silicate phosphate	4.258533	3.311684	2.876268	GO_new	6.187952
Indo-Pacific	(27.75,27.85]	sal tem oxygen silicate phosphate	4.281560	3.291064	2.865015	GO_new	6.156079
Indo-Pacific	(27.75,27.85]	tem aou oxygen silicate phosphate	4.242882	3.271777	2.903747	GO_new	6.175523
Indo-Pacific	(27.75,27.85]	tem aou silicate phosphate	4.275388	3.316085	2.924736	GO_new	6.240820
Indo-Pacific	(27.75,27.85]	tem aou silicate phosphate phosphate_star	4.273516	3.302046	2.918998	GO_new	6.221044
Indo-Pacific	(27.75,27.85]	tem oxygen silicate phosphate	4.300570	3.296323	2.916579	GO_new	6.212903
Indo-Pacific	(27.75,27.85]	tem oxygen silicate phosphate phosphate_star	4.299485	3.286256	2.911216	GO_new	6.197472
Indo-Pacific	(27.75,27.85]	aou oxygen silicate phosphate phosphate_star	4.245475	3.332871	2.938537	JGOFS_GO	7.578346
Indo-Pacific	(27.75,27.85]	sal aou oxygen silicate phosphate	4.235175	3.347718	2.896917	JGOFS_GO	7.582893
Indo-Pacific	(27.75,27.85]	sal tem aou oxygen phosphate	4.233667	3.327161	3.001071	JGOFS_GO	7.560827
Indo-Pacific	(27.75,27.85]	sal tem aou silicate phosphate	4.258533	3.311684	2.876268	JGOFS_GO	7.570217
Indo-Pacific	(27.75,27.85]	sal tem oxygen silicate phosphate	4.281560	3.291064	2.865015	JGOFS_GO	7.572624
Indo-Pacific	(27.75,27.85]	tem aou oxygen phosphate	4.242883	3.327650	3.002873	JGOFS_GO	7.570533
Indo-Pacific	(27.75,27.85]	tem aou oxygen phosphate phosphate_star	4.234736	3.327543	3.000201	JGOFS_GO	7.562279
Indo-Pacific	(27.75,27.85]	tem aou oxygen silicate phosphate	4.242882	3.271777	2.903747	JGOFS_GO	7.514659
Indo-Pacific	(27.75,27.85]	tem aou silicate phosphate phosphate_star	4.273516	3.302046	2.918998	JGOFS_GO	7.575562
Indo-Pacific	(27.75,27.85]	tem oxygen silicate phosphate phosphate_star	4.299485	3.286256	2.911216	JGOFS_GO	7.585741
Indo-Pacific	(27.85,27.95]	aou oxygen silicate phosphate	4.280926	3.007769	2.912915	GO_new	5.920684
Indo-Pacific	(27.85,27.95]	aou oxygen silicate phosphate phosphate_star	4.256269	2.993750	2.902527	GO_new	5.896277
Indo-Pacific	(27.85,27.95]	sal aou oxygen silicate phosphate	4.272593	3.007732	2.896370	GO_new	5.904102
Indo-Pacific	(27.85,27.95]	sal tem aou silicate phosphate	4.290311	3.000580	2.878296	GO_new	5.878876
Indo-Pacific	(27.85,27.95]	sal tem oxygen silicate phosphate	4.311405	3.004330	2.869502	GO_new	5.873832
Indo-Pacific	(27.85,27.95]	tem aou oxygen silicate phosphate	4.280774	3.000763	2.891621	GO_new	5.892384
Indo-Pacific	(27.85,27.95]	tem aou silicate phosphate	4.295926	3.000801	2.897066	GO_new	5.897867
Indo-Pacific	(27.85,27.95]	tem aou silicate phosphate phosphate_star	4.274004	2.989254	2.887257	GO_new	5.876511
Indo-Pacific	(27.85,27.95]	tem oxygen silicate phosphate	4.315597	3.005155	2.892410	GO_new	5.897565
Indo-Pacific	(27.85,27.95]	tem oxygen silicate phosphate phosphate_star	4.294333	2.994511	2.882504	GO_new	5.877015
Indo-Pacific	(27.85,27.95]	aou oxygen phosphate phosphate_star	4.256599	3.033388	2.960681	JGOFS_GO	7.289987
Indo-Pacific	(27.85,27.95]	aou oxygen silicate phosphate	4.280926	3.007769	2.912915	JGOFS_GO	7.288694
Indo-Pacific	(27.85,27.95]	aou oxygen silicate phosphate phosphate_star	4.256269	2.993750	2.902527	JGOFS_GO	7.250018
Indo-Pacific	(27.85,27.95]	sal aou oxygen phosphate phosphate_star	4.237357	3.016584	2.959140	JGOFS_GO	7.253941
Indo-Pacific	(27.85,27.95]	sal aou oxygen silicate phosphate	4.272593	3.007732	2.896370	JGOFS_GO	7.280326
Indo-Pacific	(27.85,27.95]	sal tem aou phosphate phosphate_star	4.256261	3.030864	2.969139	JGOFS_GO	7.287125
Indo-Pacific	(27.85,27.95]	tem aou oxygen phosphate phosphate_star	4.255961	3.033021	2.960664	JGOFS_GO	7.288981
Indo-Pacific	(27.85,27.95]	tem aou oxygen silicate phosphate	4.280774	3.000763	2.891621	JGOFS_GO	7.281537
Indo-Pacific	(27.85,27.95]	tem aou silicate phosphate phosphate_star	4.274004	2.989254	2.887257	JGOFS_GO	7.263258
Indo-Pacific	(27.85,27.95]	tem oxygen silicate phosphate phosphate_star	4.294333	2.994511	2.882504	JGOFS_GO	7.288844
Indo-Pacific	(27.95,28.05]	aou oxygen phosphate phosphate_star	4.378771	2.877804	3.077571	GO_new	5.955375
Indo-Pacific	(27.95,28.05]	aou oxygen silicate phosphate	4.381257	2.867418	3.113633	GO_new	5.981051
Indo-Pacific	(27.95,28.05]	aou oxygen silicate phosphate phosphate_star	4.377427	2.861323	3.076725	GO_new	5.938048
Indo-Pacific	(27.95,28.05]	sal aou oxygen phosphate phosphate_star	4.359852	2.877276	3.073963	GO_new	5.951239
Indo-Pacific	(27.95,28.05]	sal aou oxygen silicate phosphate	4.359139	2.857154	3.075517	GO_new	5.932671
Indo-Pacific	(27.95,28.05]	sal tem aou oxygen phosphate	4.359973	2.871354	3.107381	GO_new	5.978735
Indo-Pacific	(27.95,28.05]	sal tem aou silicate phosphate	4.377696	2.882277	3.064828	GO_new	5.947104
Indo-Pacific	(27.95,28.05]	tem aou oxygen phosphate phosphate_star	4.378207	2.870660	3.073851	GO_new	5.944512
Indo-Pacific	(27.95,28.05]	tem aou oxygen silicate phosphate	4.381237	2.866160	3.109301	GO_new	5.975461
Indo-Pacific	(27.95,28.05]	tem aou silicate phosphate phosphate_star	4.401881	2.886861	3.065987	GO_new	5.952847
Indo-Pacific	(27.95,28.05]	aou oxygen phosphate phosphate_star	4.378771	2.877804	3.077571	JGOFS_GO	7.256575
Indo-Pacific	(27.95,28.05]	aou oxygen silicate phosphate	4.381257	2.867418	3.113633	JGOFS_GO	7.248675
Indo-Pacific	(27.95,28.05]	aou oxygen silicate phosphate phosphate_star	4.377427	2.861323	3.076725	JGOFS_GO	7.238750
Indo-Pacific	(27.95,28.05]	sal aou oxygen phosphate	4.360181	2.879287	3.107563	JGOFS_GO	7.239469
Indo-Pacific	(27.95,28.05]	sal aou oxygen phosphate phosphate_star	4.359852	2.877276	3.073963	JGOFS_GO	7.237128
Indo-Pacific	(27.95,28.05]	sal aou oxygen silicate phosphate	4.359139	2.857154	3.075517	JGOFS_GO	7.216293
Indo-Pacific	(27.95,28.05]	sal tem aou oxygen phosphate	4.359973	2.871354	3.107381	JGOFS_GO	7.231328
Indo-Pacific	(27.95,28.05]	tem aou oxygen phosphate	4.383037	2.871954	3.114960	JGOFS_GO	7.254991
Indo-Pacific	(27.95,28.05]	tem aou oxygen phosphate phosphate_star	4.378207	2.870660	3.073851	JGOFS_GO	7.248867
Indo-Pacific	(27.95,28.05]	tem aou oxygen silicate phosphate	4.381237	2.866160	3.109301	JGOFS_GO	7.247397
Indo-Pacific	(28.05,28.1]	aou oxygen phosphate phosphate_star	4.232069	2.875188	2.849672	GO_new	5.724859
Indo-Pacific	(28.05,28.1]	aou oxygen silicate phosphate phosphate_star	4.227177	2.874648	2.825582	GO_new	5.700230
Indo-Pacific	(28.05,28.1]	sal aou oxygen phosphate	4.228221	2.863082	2.828633	GO_new	5.691715
Indo-Pacific	(28.05,28.1]	sal aou oxygen phosphate phosphate_star	4.228217	2.860046	2.799367	GO_new	5.659413
Indo-Pacific	(28.05,28.1]	sal aou oxygen silicate phosphate	4.225670	2.848200	2.826261	GO_new	5.674461
Indo-Pacific	(28.05,28.1]	sal aou silicate phosphate	4.362882	2.877440	2.836183	GO_new	5.713623
Indo-Pacific	(28.05,28.1]	sal aou silicate phosphate phosphate_star	4.362458	2.865816	2.804566	GO_new	5.670382
Indo-Pacific	(28.05,28.1]	sal tem aou oxygen phosphate	4.225054	2.860776	2.817179	GO_new	5.677955
Indo-Pacific	(28.05,28.1]	sal tem aou silicate phosphate	4.264970	2.856439	2.836178	GO_new	5.692618
Indo-Pacific	(28.05,28.1]	tem aou oxygen phosphate phosphate_star	4.227073	2.874723	2.843130	GO_new	5.717853
Indo-Pacific	(28.05,28.1]	aou oxygen phosphate phosphate_star	4.232069	2.875188	2.849672	JGOFS_GO	7.107257
Indo-Pacific	(28.05,28.1]	aou oxygen silicate phosphate	4.228213	2.881751	2.870188	JGOFS_GO	7.109964
Indo-Pacific	(28.05,28.1]	aou oxygen silicate phosphate phosphate_star	4.227177	2.874648	2.825582	JGOFS_GO	7.101825
Indo-Pacific	(28.05,28.1]	sal aou oxygen phosphate	4.228221	2.863082	2.828633	JGOFS_GO	7.091304
Indo-Pacific	(28.05,28.1]	sal aou oxygen phosphate phosphate_star	4.228217	2.860046	2.799367	JGOFS_GO	7.088264
Indo-Pacific	(28.05,28.1]	sal aou oxygen silicate phosphate	4.225670	2.848200	2.826261	JGOFS_GO	7.073870
Indo-Pacific	(28.05,28.1]	sal tem aou oxygen phosphate	4.225054	2.860776	2.817179	JGOFS_GO	7.085830
Indo-Pacific	(28.05,28.1]	tem aou oxygen phosphate	4.227670	2.881411	2.893756	JGOFS_GO	7.109081
Indo-Pacific	(28.05,28.1]	tem aou oxygen phosphate phosphate_star	4.227073	2.874723	2.843130	JGOFS_GO	7.101796
Indo-Pacific	(28.05,28.1]	tem aou oxygen silicate phosphate	4.226770	2.880685	2.860748	JGOFS_GO	7.107455
Indo-Pacific	(28.1, Inf]	aou oxygen silicate phosphate	3.640879	3.028695	2.696173	GO_new	5.724868
Indo-Pacific	(28.1, Inf]	aou oxygen silicate phosphate phosphate_star	3.635023	2.938152	2.688069	GO_new	5.626221
Indo-Pacific	(28.1, Inf]	sal aou oxygen phosphate	3.599961	3.230532	2.595467	GO_new	5.825999
Indo-Pacific	(28.1, Inf]	sal aou oxygen phosphate phosphate_star	3.599599	3.136083	2.593341	GO_new	5.729425
Indo-Pacific	(28.1, Inf]	sal aou oxygen silicate phosphate	3.570328	3.028688	2.582084	GO_new	5.610771
Indo-Pacific	(28.1, Inf]	sal aou phosphate phosphate_star	3.713417	3.207210	2.648134	GO_new	5.855343
Indo-Pacific	(28.1, Inf]	sal aou silicate phosphate phosphate_star	3.698036	3.187854	2.643218	GO_new	5.831072
Indo-Pacific	(28.1, Inf]	sal tem aou oxygen phosphate	3.540683	3.225881	2.586405	GO_new	5.812286
Indo-Pacific	(28.1, Inf]	sal tem aou phosphate phosphate_star	3.540570	3.173834	2.644631	GO_new	5.818464
Indo-Pacific	(28.1, Inf]	tem aou oxygen silicate phosphate	3.601769	2.985715	2.648408	GO_new	5.634123
Indo-Pacific	(28.1, Inf]	aou oxygen silicate phosphate	3.640879	3.028695	2.696173	JGOFS_GO	6.669574
Indo-Pacific	(28.1, Inf]	aou oxygen silicate phosphate phosphate_star	3.635023	2.938152	2.688069	JGOFS_GO	6.573176
Indo-Pacific	(28.1, Inf]	sal aou oxygen phosphate phosphate_star	3.599599	3.136083	2.593341	JGOFS_GO	6.735682
Indo-Pacific	(28.1, Inf]	sal aou oxygen silicate phosphate	3.570328	3.028688	2.582084	JGOFS_GO	6.599015
Indo-Pacific	(28.1, Inf]	sal tem aou oxygen phosphate	3.540683	3.225881	2.586405	JGOFS_GO	6.766564
Indo-Pacific	(28.1, Inf]	sal tem aou phosphate phosphate_star	3.540570	3.173834	2.644631	JGOFS_GO	6.714404
Indo-Pacific	(28.1, Inf]	sal tem aou silicate phosphate	3.542161	3.278460	2.644383	JGOFS_GO	6.820621
Indo-Pacific	(28.1, Inf]	sal tem oxygen phosphate phosphate_star	3.594199	3.222924	2.710942	JGOFS_GO	6.817124
Indo-Pacific	(28.1, Inf]	tem aou oxygen silicate phosphate	3.601769	2.985715	2.648408	JGOFS_GO	6.587484
Indo-Pacific	(28.1, Inf]	tem aou silicate phosphate phosphate_star	3.653818	3.124788	2.839805	JGOFS_GO	6.778606

# lm_best_n <-lm_best %>%
#   group_by(basin, gamma_slab) %>%
#   summarise(n()) %>%
#   ungroup()

all_lm_stats %>%
  ggplot(aes(rmse_GO_SHIP, rmse_sum - rmse_GO_SHIP, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras ~ basin)

rm(all_lm_stats, all_lm_stats_wide)

lm_1 <- GLODAP %>% 
  filter(basin == "Atlantic",
         gamma_slab == "(-Inf,26]",
         era == "new_era") %>% 
  lm(Cstar ~ salinity + temperature + aou + oxygen + phosphate_star, data = .)

lm_2 <- GLODAP %>% 
  filter(basin == "Atlantic",
         gamma_slab == "(-Inf,26]",
         era == "new_era") %>% 
  lm(Cstar ~ salinity + temperature + aou + oxygen + phosphate, data = .)

lm_1
lm_2

sqrt(mean(lm_1$residuals^2))
sqrt(mean(lm_2$residuals^2))

6.3.2 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.

lm_best <- lm_best %>% 
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste("Cstar ~", lm_coeff))

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 <- lm_best %>%
      filter(basin == i_basin)

    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_slab <- lm_best_basin %>% 
        filter(gamma_slab == i_gamma_slab)
      
      for (i_eras in unique(lm_best_basin_slab$eras)) {
        
        # i_eras <- unique(lm_best_basin_slab$eras)[1]
        
        lm_best_basin_slab_eras <- lm_best_basin_slab %>%
          filter(eras == i_eras)
      
      for (i_predictors in unique(lm_best_basin_slab_eras$predictors)) {
        
        # i_predictors <- unique(lm_best_basin_slab_eras$predictors)[1]
        
        lm_best_single <- lm_best_basin_slab_eras %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        i_rmse_sum <- lm_best_basin_slab_eras %>%
          filter(predictors == i_predictors) %>%
          select(rmse_sum) %>%
          pull()
        
        lm_formula <- as.formula(lm_best_single)
        
        model_single <- lm(lm_formula, 
              data = GLODAP_basin_era_slab)
        
        coefficients <- tidy(model_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)
        
        print(lm_best_single)
      
      if (exists("all_lm")) {
        all_lm <- bind_rows(all_lm, coefficients)
      }
      
      if (!exists("all_lm")) {
        all_lm <- coefficients
      }
      

      }
      
 
      }
    }
    
  }
  
}


rm(lm_formula, model_single, coefficients, i_rmse_sum,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   lm_best, lm_best_basin, lm_best_basin_slab, lm_best_single,
   i_basin, i_era, i_gamma_slab, i_predictors)

all_lm %>%
  write_csv(here::here("data/eMLR",
                       "all_lm.csv"))

7 Open tasks

combine correlation, rmse and model calculation into one routine, ideally using the purrr map approach
select exactly best 10 models, even if same rmse sum appears more than once (currently, selection is set two ten, even if doublicated rmse occur)
check (phosphate_star) NA’s in coeffcients -> cases of exact colinearity?

8 Open questions

sessionInfo()

R version 4.0.2 (2020-06-22)
Platform: x86_64-w64-mingw32/x64 (64-bit)
Running under: Windows 10 x64 (build 18363)

Matrix products: default

locale:
[1] LC_COLLATE=English_Germany.1252  LC_CTYPE=English_Germany.1252   
[3] LC_MONETARY=English_Germany.1252 LC_NUMERIC=C                    
[5] LC_TIME=English_Germany.1252    

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] corrr_0.4.2      broom_0.7.0      kableExtra_1.1.0 knitr_1.29      
 [5] olsrr_0.5.3.9000 GGally_2.0.0     patchwork_1.0.1  lubridate_1.7.9 
 [9] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.0      purrr_0.3.4     
[13] readr_1.3.1      tidyr_1.1.0      tibble_3.0.3     ggplot2_3.3.2   
[17] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.4.2           webshot_0.5.2      RColorBrewer_1.1-2 httr_1.4.2        
 [5] rprojroot_1.3-2    tools_4.0.2        backports_1.1.8    R6_2.4.1          
 [9] nortest_1.0-4      DBI_1.1.0          colorspace_1.4-1   withr_2.2.0       
[13] tidyselect_1.1.0   gridExtra_2.3      curl_4.3           compiler_4.0.2    
[17] git2r_0.27.1       cli_2.0.2          rvest_0.3.6        xml2_1.3.2        
[21] labeling_0.3       scales_1.1.1       goftest_1.2-2      digest_0.6.25     
[25] foreign_0.8-80     rmarkdown_2.3      rio_0.5.16         pkgconfig_2.0.3   
[29] htmltools_0.5.0    dbplyr_1.4.4       highr_0.8          rlang_0.4.7       
[33] readxl_1.3.1       rstudioapi_0.11    generics_0.0.2     farver_2.0.3      
[37] jsonlite_1.7.0     zip_2.0.4          car_3.0-8          magrittr_1.5      
[41] Rcpp_1.0.5         munsell_0.5.0      fansi_0.4.1        abind_1.4-5       
[45] lifecycle_0.2.0    stringi_1.4.6      whisker_0.4        yaml_2.2.1        
[49] carData_3.0-4      plyr_1.8.6         grid_4.0.2         blob_1.2.1        
[53] promises_1.1.1     crayon_1.3.4       haven_2.3.1        hms_0.5.3         
[57] pillar_1.4.6       reprex_0.3.0       glue_1.4.1         evaluate_0.14     
[61] data.table_1.13.0  modelr_0.1.8       vctrs_0.3.2        httpuv_1.5.4      
[65] cellranger_1.1.0   gtable_0.3.0       reshape_0.8.8      assertthat_0.2.1  
[69] xfun_0.16          openxlsx_4.1.5     later_1.1.0.1      viridisLite_0.3.0 
[73] ellipsis_0.3.1     here_0.1

Data base

Jens Daniel Müller

18 August, 2020

1 Required data

2 C*

2.1 Stoichiometric ratios

2.2 Calculation

3 PO₄* calculation

4 Reference year adjustment

4.1 Merge data sets

4.1.1 GLODAP + Cant

4.1.2 GLODAP + atm. pCO₂

4.2 Calculate adjustment

4.3 Control plots

4.3.1 Histogram

4.3.2 Time series

5 Selected section plots

6 MLR

6.1 Isoneutral slabs

6.1.1 Observations coverage

6.2 Predictor correlation

6.2.1 Correlation plots

6.2.2 Correlation assesment

6.2.2.1 Calculation of correlation coeffcients

6.2.2.2 Predictor pairs

6.2.2.3 C* vs individual predictors

6.3 Model fitting

6.3.1 Predictor selection

6.3.2 Fitting best models

7 Open tasks

8 Open questions

Data base

Jens Daniel Müller

18 August, 2020

1 Required data

2 C*

2.1 Stoichiometric ratios

2.2 Calculation

3 PO4* calculation

4 Reference year adjustment

4.1 Merge data sets

4.1.1 GLODAP + Cant

4.1.2 GLODAP + atm. pCO2

4.2 Calculate adjustment

4.3 Control plots

4.3.1 Histogram

4.3.2 Time series

5 Selected section plots

6 MLR

6.1 Isoneutral slabs

6.1.1 Observations coverage

6.2 Predictor correlation

6.2.1 Correlation plots

6.2.2 Correlation assesment

6.2.2.1 Calculation of correlation coeffcients

6.2.2.2 Predictor pairs

6.2.2.3 C* vs individual predictors

6.3 Model fitting

6.3.1 Predictor selection

6.3.2 Fitting best models

7 Open tasks

8 Open questions

3 PO₄* calculation

4.1.2 GLODAP + atm. pCO₂