eMLR - model fitting

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Last updated: 2021-02-15

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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, oxygen, aou, nitrate, silicate, silicate_star, phosphate, phosphate_star

# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

# subset one basin and era for fitting
GLODAP_basin_era <- GLODAP %>%
  filter(basin == i_basin, era == i_era)

i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
print(i_gamma_slab)

# subset one gamma slab
GLODAP_basin_era_slab <- GLODAP_basin_era %>%
  filter(gamma_slab == i_gamma_slab)

# fit the full linear model, i.e. all predictor combinations
lm_full <- lm(paste(
  params_local$MLR_target,
  paste(params_local$MLR_predictors, collapse = " + "),
  sep = " ~ "
),
data = GLODAP_basin_era_slab)

# fit linear models for all possible predictor combinations
# unfortunately, this functions does not provide model coefficients (yet)
lm_all <- ols_step_all_possible(lm_full)

# convert to tibble
lm_all <- as_tibble(lm_all)

# extract relevant columns and format model formula
lm_all <- lm_all %>% 
  select(n, predictors) %>% 
  mutate(lm_coeff = str_replace_all(predictors, " ", " + "),
         lm_coeff = paste(params_local$MLR_target, "~", lm_coeff))

# remove certain predictor combinations
lm_rm_ph <- lm_all %>%
  filter(str_detect(lm_coeff, "phosphate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(
    str_detect(lm_coeff_filter, "nitrate") &
      str_detect(lm_coeff_filter, "phosphate")
  ) 

lm_rm_si <- lm_all %>%
  filter(str_detect(lm_coeff, "silicate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
  filter(
    str_detect(lm_coeff_filter, "nitrate") &
      str_detect(lm_coeff_filter, "silicate")
  )

lm_rm_o2 <- lm_all %>%
  filter(str_detect(lm_coeff, "phosphate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(
    str_detect(lm_coeff_filter, "phosphate") &
      str_detect(lm_coeff_filter, "oxygen")
  )

lm_rm <- bind_rows(lm_rm_ph, lm_rm_si, lm_rm_o2) %>%
  select(-lm_coeff_filter) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

3 Apply predictor threshold

Select combinations with a total number of predictors in the range:

• Minimum: 2
  
• Maximum: 7

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 358

4 Fit all models

Individual linear regression models were fitted for the chosen target variable:

• cstar_tref

as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. Model diagnostics, such as the root mean squared error (RMSE), were calculated for each fitted model.

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    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)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[1]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

rm(
  i_lm_fit,
  coefficients,
  i_rmse,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  i_lm,
  i_basin,
  i_era,
  i_gamma_slab,
  i_nr_obs,
  i_predictors,
  i_aic,
  i_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

Coefficients are prepared for the mapping of Cant and the chosen target variable.

5.1 Formatting

# select relevant columns
lm_all_fitted <- lm_all_fitted %>%
  select(
    basin,
    gamma_slab,
    era,
    model,
    nr_obs,
    n_predictors,
    term,
    estimate,
    rmse,
    aic,
    resid_max,
    na_predictor,
    cor_max
  )

# set coefficient to zero if not fitted (=NA)
lm_all_fitted <- lm_all_fitted %>%
  mutate(estimate = if_else(is.na(estimate), 0, estimate))

# Prepare model coefficients for mapping of target variable
lm_all_fitted_wide <- lm_all_fitted %>%
  pivot_wider(
    values_from = estimate,
    names_from = term,
    names_prefix = "coeff_",
    values_fill = 0
  )

5.2 Predictor selection

Within each basin and slab, the following number of best linear regression models was selected:

• 10

The criterion used to select the best models was:

• aic

The criterion was summed up for two adjacent eras, and the models with lowest summed values were selected.

Please note, that currently the lm() function produces NAs for some predictors. It is not yet entirely clear when this happens, but presumably it is caused by some form of collinearity between predictors, such that including another predictor does not help to explain the target variable any better. The issues also expresses as exactly identical rmse values of different models. As an interim solution, models with fitted NA predictors were not included.

# remove models with predictors fitted as NA

lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  select(basin, gamma_slab, model, era, nr_obs, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na()

# subset models with lowest summed criterion
# chose which criterion is applied

if (params_local$MLR_criterion == "aic") {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = aic_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
} else {
  lm_best <- lm_all_fitted_wide_eras %>%
    group_by(basin, gamma_slab, eras) %>%
    slice_min(order_by = rmse_sum,
              with_ties = FALSE,
              n = params_local$MLR_number) %>%
    ungroup() %>%
    arrange(basin, gamma_slab, eras, model)
}

5.3 RMSE tables

5.3.1 per model

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

basin	gamma_slab	model	nr_obs	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	158	1.0137290	468.6934	3.297715	1982-1999 –> 2000-2012	2.3505653	1195.7391
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate_star + phosphate	158	1.0137290	468.6934	3.297715	1982-1999 –> 2000-2012	2.3505653	1195.7391
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate	158	1.0137290	468.6934	3.297715	1982-1999 –> 2000-2012	2.3505653	1195.7391
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	72	1.0788874	231.2611	2.583446	2000-2012 –> 2013-2019	2.0926164	699.9545
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate_star + phosphate	72	1.0788874	231.2611	2.583446	2000-2012 –> 2013-2019	2.0926164	699.9545
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate	72	1.0788874	231.2611	2.583446	2000-2012 –> 2013-2019	2.0926164	699.9545
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1046	3.2125948	5425.9486	13.863059	1982-1999 –> 2000-2012	6.4258946	13329.9712
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star	1046	3.2125948	5425.9486	13.863059	1982-1999 –> 2000-2012	6.4258946	13329.9712
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star	1046	3.2125948	5425.9486	13.863059	1982-1999 –> 2000-2012	6.4258946	13329.9712
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	567	3.0466697	2888.4080	10.761888	2000-2012 –> 2013-2019	6.2592646	8314.3566
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star	567	3.0466697	2888.4080	10.761888	2000-2012 –> 2013-2019	6.2592646	8314.3566
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star	567	3.0466697	2888.4080	10.761888	2000-2012 –> 2013-2019	6.2592646	8314.3566
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2031	1.7886736	8141.6771	12.395499	1982-1999 –> 2000-2012	3.2352503	17495.3358
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate_star + phosphate	2031	1.7886736	8141.6771	12.395499	1982-1999 –> 2000-2012	3.2352503	17495.3358
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate	2031	1.7886736	8141.6771	12.395499	1982-1999 –> 2000-2012	3.2352503	17495.3358
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2804	2.3649692	12800.5773	15.837292	1982-1999 –> 2000-2012	4.4315783	28834.3000
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate_star + phosphate	2804	2.3649692	12800.5773	15.837292	1982-1999 –> 2000-2012	4.4315783	28834.3000
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate	2804	2.3649692	12800.5773	15.837292	1982-1999 –> 2000-2012	4.4315783	28834.3000
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1515	2.6919437	7315.8822	19.886060	2000-2012 –> 2013-2019	5.0569129	20116.4595
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate_star + phosphate	1515	2.6919437	7315.8822	19.886060	2000-2012 –> 2013-2019	5.0569129	20116.4595
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate	1515	2.6919437	7315.8822	19.886060	2000-2012 –> 2013-2019	5.0569129	20116.4595
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	983	2.9168969	4910.2762	23.384895	1982-1999 –> 2000-2012	5.6443939	11398.7229
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	569	3.2995683	2989.2869	28.835013	2000-2012 –> 2013-2019	6.2165224	7899.6016
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1204	3.7823633	6636.2844	25.986558	1982-1999 –> 2000-2012	7.1374854	15466.1228
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	666	3.2653123	3482.2555	28.858479	2000-2012 –> 2013-2019	7.0476756	10118.5400
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	804	0.9874834	2277.3995	8.901381	1982-1999 –> 2000-2012	1.8182268	4947.9005
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	804	0.9874834	2277.3995	8.901381	1982-1999 –> 2000-2012	1.8182268	4947.9005
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	804	0.9874834	2277.3995	8.901381	1982-1999 –> 2000-2012	1.8182268	4947.9005
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	434	1.0173601	1262.5779	9.260481	2000-2012 –> 2013-2019	2.0048435	3539.9774
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	434	1.0173601	1262.5779	9.260481	2000-2012 –> 2013-2019	2.0048435	3539.9774
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	434	1.0173601	1262.5779	9.260481	2000-2012 –> 2013-2019	2.0048435	3539.9774
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	936	0.7504876	2134.9287	7.809835	1982-1999 –> 2000-2012	1.3189048	4362.8898
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star	936	0.7504876	2134.9287	7.809835	1982-1999 –> 2000-2012	1.3189048	4362.8898
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star	936	0.7504876	2134.9287	7.809835	1982-1999 –> 2000-2012	1.3189048	4362.8898
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	497	0.8106658	1217.7849	8.187468	2000-2012 –> 2013-2019	1.5461320	3314.8646
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	497	0.8106658	1217.7849	8.187468	2000-2012 –> 2013-2019	1.5461320	3314.8646
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	497	0.8106658	1217.7849	8.187468	2000-2012 –> 2013-2019	1.5461320	3314.8646
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	819	0.5919930	1481.4826	5.113831	2000-2012 –> 2013-2019	0.9419591	2634.0632
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate_star + phosphate	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + silicate_star + phosphate	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + silicate_star + phosphate_star	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate_star + phosphate	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	5354	4.0803138	30267.3040	20.032662	1982-1999 –> 2000-2012	7.6119339	70659.9358
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	5354	4.0803138	30267.3040	20.032662	1982-1999 –> 2000-2012	7.6119339	70659.9358
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	5354	4.0803138	30267.3040	20.032662	1982-1999 –> 2000-2012	7.6119339	70659.9358
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	2868	4.4647302	16737.2851	18.804923	2000-2012 –> 2013-2019	8.5450441	47004.5891
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	2868	4.4647302	16737.2851	18.804923	2000-2012 –> 2013-2019	8.5450441	47004.5891
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	2868	4.4647302	16737.2851	18.804923	2000-2012 –> 2013-2019	8.5450441	47004.5891
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	3470	4.3045251	19993.5212	31.732421	2000-2012 –> 2013-2019	8.0217133	55338.5303
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	3470	4.3045251	19993.5212	31.732421	2000-2012 –> 2013-2019	8.0217133	55338.5303
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	3470	4.3045251	19993.5212	31.732421	2000-2012 –> 2013-2019	8.0217133	55338.5303
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	5847	3.1706623	30103.2475	32.279761	1982-1999 –> 2000-2012	5.9602908	68708.7115
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	5847	3.1706623	30103.2475	32.279761	1982-1999 –> 2000-2012	5.9602908	68708.7115
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	5847	3.1706623	30103.2475	32.279761	1982-1999 –> 2000-2012	5.9602908	68708.7115
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	3127	3.6548375	16995.5484	31.772847	2000-2012 –> 2013-2019	6.8254998	47098.7960
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	3127	3.6548375	16995.5484	31.772847	2000-2012 –> 2013-2019	6.8254998	47098.7960
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	3127	3.6548375	16995.5484	31.772847	2000-2012 –> 2013-2019	6.8254998	47098.7960
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	5836	2.9785504	29317.1000	13.147913	1982-1999 –> 2000-2012	5.1754023	65091.7752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	5836	2.9785504	29317.1000	13.147913	1982-1999 –> 2000-2012	5.1754023	65091.7752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	5836	2.9785504	29317.1000	13.147913	1982-1999 –> 2000-2012	5.1754023	65091.7752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	3104	3.4604594	16531.3901	13.773141	2000-2012 –> 2013-2019	6.4390098	45848.4901
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	3104	3.4604594	16531.3901	13.773141	2000-2012 –> 2013-2019	6.4390098	45848.4901
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	3104	3.4604594	16531.3901	13.773141	2000-2012 –> 2013-2019	6.4390098	45848.4901
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	2317	2.6293823	11071.2758	22.116790	1982-1999 –> 2000-2012	4.5112768	23932.0000
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	2317	2.6293823	11071.2758	22.116790	1982-1999 –> 2000-2012	4.5112768	23932.0000
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	2317	2.6293823	11071.2758	22.116790	1982-1999 –> 2000-2012	4.5112768	23932.0000
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	1264	2.9748467	6359.0833	32.119181	2000-2012 –> 2013-2019	5.6042290	17430.3591
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	1264	2.9748467	6359.0833	32.119181	2000-2012 –> 2013-2019	5.6042290	17430.3591
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	1264	2.9748467	6359.0833	32.119181	2000-2012 –> 2013-2019	5.6042290	17430.3591
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1542	3.1767440	7956.6687	31.881688	2000-2012 –> 2013-2019	5.8784226	22000.7567
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + phosphate	1542	3.1767686	7954.6926	31.850384	2000-2012 –> 2013-2019	5.8794254	21998.8853
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star	1542	3.1767686	7954.6926	31.850384	2000-2012 –> 2013-2019	5.8794254	21998.8853
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate_star + phosphate + phosphate_star	2467	2.1646542	10827.3766	8.110250	1982-1999 –> 2000-2012	4.0281263	25308.5953
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate	2467	2.1646542	10827.3766	8.110250	1982-1999 –> 2000-2012	4.0281263	25308.5953
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate_star + phosphate_star	2467	2.1646542	10827.3766	8.110250	1982-1999 –> 2000-2012	4.0281263	25308.5953
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + silicate_star + phosphate + phosphate_star	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + silicate_star + phosphate_star	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + silicate_star + phosphate + phosphate_star	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate_star + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + silicate_star + phosphate + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate_star + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + silicate + silicate_star + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + silicate_star + phosphate_star	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557

5.3.2 per fitting unit

lm_best %>%
  group_by(basin, gamma_slab, eras) %>% 
  summarise(rmse_sum_mean = mean(rmse_sum),
            ais_sum_mean = mean(aic_sum)) %>% 
  ungroup() %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2012	2.3472602	1194.7078
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.0933689	699.6147
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	6.4127045	13320.2235
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	6.2382496	8309.2877
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	6.0827159	16675.7788
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	6.4020066	10604.2726
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	3.4619388	21528.5456
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.1713726	15659.3096
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.1952173	17405.5089
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	3.8410199	12987.9896
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	3.7595718	19806.8249
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	4.8453232	14214.9497
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	4.4252381	28814.4874
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	5.0572439	20116.5898
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	2.9947156	8627.4587
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	3.1120780	5749.5983
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	5.6056374	11362.9920
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.1301252	7872.3612
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	6.7888177	15192.8634
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	6.7831403	9957.7161
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	1.8177512	4948.5386
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	2.0042817	3540.8797
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	1.3029237	4317.3099
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	1.5439811	3312.9772
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.7273089	3175.5862
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.9291886	2539.1334
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.5949405	2503.9887
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.6552268	2538.4824
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.0402031	80349.1396
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	11.4480662	51430.2273
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.4125316	75432.4505
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	8.5866487	48697.0253
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.4954087	59354.1234
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	7.9054563	38907.9982
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.6008242	70628.7597
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.5235183	46968.6893
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	6.7246961	79963.2862
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	7.9987055	55260.9669
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	5.9529424	68671.4914
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	6.8232022	47096.0370
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	5.1747694	65090.4704
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	6.4386771	45850.3462
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	4.5097459	23930.1759
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	5.5985760	17428.0740
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	4.7937669	31362.4679
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	5.8778256	21999.1677
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	4.0166710	25281.9825
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	4.5298338	17005.7133
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	3.0870571	15704.8775
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	3.5326073	10612.5382
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	2.2125613	105218.1278
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	2.5390396	73479.1139

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      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_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
             # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
            
            # plot model diagnostics vs predictors
            
            p_model_predictors <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model_predictors,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_predictors)
            
            
            # plot model diagnostics vs location
            
            GLODAP_basin_era_slab <- GLODAP_basin_era_slab %>%
              mutate(fitted = i_lm_fit$fitted.values,
                     residuals = i_lm_fit$residuals)
            
            GLODAP_basin_era_slab_long <- GLODAP_basin_era_slab %>% 
              pivot_longer(cols = c(params_local$MLR_target , fitted, residuals),
                           names_to = "estimate",
                           values_to = "value"
              ) %>% 
              pivot_longer(cols = c(lat, lon, depth),
                           names_to = "coordinate_type",
                           values_to = "coordinate_value"
              )

             p_model_coordinate <- GLODAP_basin_era_slab_long %>%
              ggplot(aes(coordinate_value, value)) +
              geom_bin2d() +
              scale_fill_viridis_c() +
              labs(
                title = paste(
                  "era:",
                  i_era,
                  "| eras:",
                  i_eras,
                  "| basin:",
                  i_basin,
                  "| gamma slab:",
                  i_gamma_slab,
                  "| predictors:",
                  i_predictors
                )
              ) +
              facet_grid(estimate~coordinate_type,
                         scales = "free")

            ggsave(
              plot = p_model_coordinate,
              path = paste(path_version_figures, "eMLR_diagnostics", sep = ""),
              filename = paste(
                "Location_MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model_coordinate)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.6 Cant coeffcients

A data frame of coefficient offsets is prepared to facilitate the direct mapping of Cant.

# pivot long format
lm_best_long <- lm_best_target %>%
  pivot_longer(cols = starts_with("coeff_"),
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

# subtract coefficients of adjacent era  
lm_best_long <- lm_best_long %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, eras, model, term) %>%
  mutate(delta_coeff = estimate - lag(estimate)) %>%
  ungroup() %>%
  arrange(basin, gamma_slab, model, term, eras) %>%
  drop_na() %>%
  select(-c(era,estimate))

# pivot back to wide format
lm_best_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

5.7 Write files

lm_best_target %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    era,
    starts_with("coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_target.csv",
                  sep = ""))

lm_best_cant %>%
  select(
    basin,
    gamma_slab,
    model,
    eras,
    starts_with("delta_coeff_")
  ) %>%
  write_csv(paste(path_version_data,
                  "lm_best_cant.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (aic) was plotted against the number of predictors (limited to 2 - 7).

6.1.1 All models

lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors")

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.1.2 Best models

lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors pooled")

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjacent eras (ie check whether the same predictor combination performs equal in both eras).

6.2.1 All models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_all_fitted_wide_eras$rmse,
        lm_all_fitted_wide_eras$rmse_sum - lm_all_fitted_wide_eras$rmse))

lm_all_fitted_wide_eras %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	oxygen	phosphate	phosphate_star	sal	silicate	silicate_star	temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26]	10	6	6	7	4	10	7	7	3
(26,26.5]	10	6	9	4	4	10	7	7	10
(26.5,26.75]	10	5	8	7	5	3	8	7	10
(26.75,27]	10	4	8	6	6	10	8	5	10
(27,27.25]	10	6	6	7	4	10	7	7	10
(27.25,27.5]	10	7	9	5	6	10	6	7	7
(27.5,27.75]	10	6	6	7	4	10	7	7	10
(27.75,27.85]	10	6	9	7	4	10	7	7	7
(27.85,27.95]	10	6	8	6	6	10	6	5	10
(27.95,28.05]	10	7	8	5	6	10	6	5	10
(28.05,28.1]	10	3	8	5	7	10	6	5	10
(28.1,28.15]	10	6	9	4	4	10	7	7	10
(28.15,28.2]	10	5	9	6	5	7	7	8	10
(28.2, Inf]	7	7	9	6	5	10	7	6	10
total	137.00	80.00	112.00	82.00	70.00	130.00	96.00	90.00	127.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	10	6	6	7	4	10	7	7	3
(26,26.5]	10	6	9	4	4	10	7	7	10
(26.5,26.75]	10	6	9	4	7	3	7	7	10
(26.75,27]	10	4	8	6	6	10	8	5	10
(27,27.25]	10	5	9	5	6	10	8	7	7
(27.25,27.5]	10	7	9	5	6	10	6	7	3
(27.5,27.75]	10	6	6	7	4	10	7	7	3
(27.75,27.85]	10	5	9	6	5	10	7	8	7
(27.85,27.95]	10	6	8	6	6	10	5	6	10
(27.95,28.05]	10	7	8	5	6	10	6	5	10
(28.05,28.1]	10	4	8	6	6	10	5	5	10
(28.1,28.15]	10	4	8	6	6	10	5	8	10
(28.15,28.2]	10	7	9	5	5	10	6	5	10
(28.2, Inf]	7	5	9	6	5	10	8	7	10
total	137.00	78.00	115.00	78.00	76.00	133.00	92.00	91.00	113.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	10	5	8	5	7	10	8	7	3
(26,26.5]	10	5	9	5	6	10	8	7	7
(26.5,26.75]	10	6	9	5	6	10	8	6	7
(26.75,27]	10	4	8	6	6	10	5	8	10
(27,27.25]	10	6	8	7	5	7	7	7	10
(27.25,27.5]	10	4	8	6	6	10	5	8	10
(27.5,27.75]	10	4	8	6	6	10	5	8	10
(27.75,27.85]	10	4	8	6	6	10	5	8	10
(27.85,27.95]	10	6	8	7	5	3	7	7	10
(27.95,28.05]	10	4	8	6	6	10	5	8	10
(28.05,28.1]	10	6	8	7	5	7	7	7	10
(28.1, Inf]	10	6	9	4	7	7	7	7	10
total	120.00	60.00	99.00	70.00	71.00	104.00	77.00	88.00	107.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	10	5	8	5	7	10	8	7	3
(26,26.5]	10	5	8	5	7	10	8	7	7
(26.5,26.75]	10	6	8	7	5	10	7	7	7
(26.75,27]	10	4	8	6	6	10	5	8	10
(27,27.25]	10	4	8	6	6	10	5	8	10
(27.25,27.5]	10	4	8	6	6	10	5	8	10
(27.5,27.75]	10	4	8	6	6	10	5	8	10
(27.75,27.85]	10	4	8	6	6	10	5	8	10
(27.85,27.95]	10	7	9	5	6	1	5	5	10
(27.95,28.05]	10	4	8	6	6	10	8	8	7
(28.05,28.1]	10	7	9	5	6	7	6	7	10
(28.1, Inf]	10	5	9	5	6	7	8	7	10
total	120.00	59.00	99.00	68.00	73.00	105.00	75.00	88.00	104.00

6.4 RMSE alternatives

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

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

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1