eMLR - model fitting

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Last updated: 2021-02-24

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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, 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_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:

• 199

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:

• rmse

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 + 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 + 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 + phosphate_star	158	1.0146566	468.9824	3.327668	1982-1999 –> 2000-2012	2.3517436	1196.1061
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	158	1.0337825	474.8835	3.684211	1982-1999 –> 2000-2012	2.3695815	1201.6062
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	158	1.0337825	474.8835	3.684211	1982-1999 –> 2000-2012	2.3695815	1201.6062
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	158	1.0170935	469.7405	3.413785	1982-1999 –> 2000-2012	2.3550073	1197.1213
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	158	1.0170935	469.7405	3.413785	1982-1999 –> 2000-2012	2.3550073	1197.1213
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 + 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 + phosphate_star	72	1.0780946	231.1553	2.566087	2000-2012 –> 2013-2019	2.0927512	700.1377
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	72	1.1315155	238.1195	2.904684	2000-2012 –> 2013-2019	2.1652979	713.0030
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	72	1.1315155	238.1195	2.904684	2000-2012 –> 2013-2019	2.1652979	713.0030
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	72	1.0766499	230.9622	2.586451	2000-2012 –> 2013-2019	2.0937433	700.7026
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	72	1.0766499	230.9622	2.586451	2000-2012 –> 2013-2019	2.0937433	700.7026
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1046	3.3042550	5482.8009	13.811611	1982-1999 –> 2000-2012	6.5688725	13433.1484
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	1046	3.3042550	5482.8009	13.811611	1982-1999 –> 2000-2012	6.5688725	13433.1484
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1046	3.2403045	5441.9154	14.502344	1982-1999 –> 2000-2012	6.4880149	13376.4262
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1046	3.2773070	5467.6695	12.934757	1982-1999 –> 2000-2012	6.4883908	13369.5880
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1046	3.2773070	5467.6695	12.934757	1982-1999 –> 2000-2012	6.4883908	13369.5880
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 + oxygen + aou + nitrate + silicate	567	3.0857248	2900.8523	9.468161	2000-2012 –> 2013-2019	6.3260293	8342.7677
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	567	3.0977240	2907.2534	8.739067	2000-2012 –> 2013-2019	6.4059096	8394.5414
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	567	3.0923984	2905.3022	8.782350	2000-2012 –> 2013-2019	6.3987528	8391.4318
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 + nitrate + silicate + phosphate	567	3.1227556	2916.3800	8.695414	2000-2012 –> 2013-2019	6.4573287	8420.2885
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	567	3.1227556	2916.3800	8.695414	2000-2012 –> 2013-2019	6.4573287	8420.2885
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1397	3.2139421	7242.5043	10.077111	1982-1999 –> 2000-2012	6.1949222	16785.9619
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 + nitrate + silicate + 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 + silicate + phosphate	1397	3.2139421	7242.5043	10.077111	1982-1999 –> 2000-2012	6.1949222	16785.9619
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1397	3.2139421	7242.5043	10.077111	1982-1999 –> 2000-2012	6.1949222	16785.9619
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1397	3.2249399	7250.0489	10.037456	1982-1999 –> 2000-2012	6.2079736	16794.1190
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 + silicate + phosphate	1397	3.2249399	7250.0489	10.037456	1982-1999 –> 2000-2012	6.2079736	16794.1190
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1397	3.2249399	7250.0489	10.037456	1982-1999 –> 2000-2012	6.2079736	16794.1190
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	656	3.3167237	3450.7058	9.802790	2000-2012 –> 2013-2019	6.5269531	10689.9807
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	656	3.3167237	3450.7058	9.802790	2000-2012 –> 2013-2019	6.5269531	10689.9807
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	656	3.3015492	3444.6894	10.639303	2000-2012 –> 2013-2019	6.5154913	10687.1938
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	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 + 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 + phosphate	656	3.3015492	3444.6894	10.639303	2000-2012 –> 2013-2019	6.5154913	10687.1938
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	656	3.3015492	3444.6894	10.639303	2000-2012 –> 2013-2019	6.5154913	10687.1938
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 + silicate + phosphate_star	656	3.3238240	3451.5114	11.113656	2000-2012 –> 2013-2019	6.5487639	10701.5603
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 + 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 + 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 ~ temp + aou + silicate + phosphate + phosphate_star	2398	2.0860637	10345.6268	19.975942	1982-1999 –> 2000-2012	3.5995129	21872.9381
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2398	2.0377368	10235.2128	18.405045	1982-1999 –> 2000-2012	3.5335223	21690.7979
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2398	2.0377368	10235.2128	18.405045	1982-1999 –> 2000-2012	3.5335223	21690.7979
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2398	2.0860637	10345.6268	19.975942	1982-1999 –> 2000-2012	3.5995129	21872.9381
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2398	2.0860637	10345.6268	19.975942	1982-1999 –> 2000-2012	3.5995129	21872.9381
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 + 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 + 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 ~ temp + aou + silicate + phosphate + phosphate_star	1263	2.2552518	5652.5376	22.583567	2000-2012 –> 2013-2019	4.3413155	15998.1644
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1263	2.1944621	5585.5155	19.509755	2000-2012 –> 2013-2019	4.2321989	15820.7283
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1263	2.1944621	5585.5155	19.509755	2000-2012 –> 2013-2019	4.2321989	15820.7283
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1263	2.2552518	5652.5376	22.583567	2000-2012 –> 2013-2019	4.3413155	15998.1644
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1263	2.2552518	5652.5376	22.583567	2000-2012 –> 2013-2019	4.3413155	15998.1644
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
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 + phosphate_star	2031	1.8059058	8180.6234	11.966964	1982-1999 –> 2000-2012	3.2633567	17573.3900
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2031	1.8598998	8300.2912	12.096683	1982-1999 –> 2000-2012	3.4166128	18037.1230
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 + silicate + phosphate_star	2031	1.8598998	8300.2912	12.096683	1982-1999 –> 2000-2012	3.4166128	18037.1230
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2031	1.8229960	8218.8833	11.342723	1982-1999 –> 2000-2012	3.3037503	17694.4851
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	2031	1.8229960	8218.8833	11.342723	1982-1999 –> 2000-2012	3.3037503	17694.4851
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1142	2.1593133	5013.0566	10.465472	2000-2012 –> 2013-2019	4.0219286	13317.2739
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + 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 + 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 + temp + aou + nitrate + silicate + phosphate	1142	2.1545634	5010.0268	9.847471	2000-2012 –> 2013-2019	3.9432370	13151.7039
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1142	2.1701740	5026.5156	9.720375	2000-2012 –> 2013-2019	3.9760799	13207.1390
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 + silicate + phosphate_star	1142	2.2356057	5094.3615	14.334561	2000-2012 –> 2013-2019	4.0955055	13394.6527
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	1142	2.1888764	5046.1146	9.973069	2000-2012 –> 2013-2019	4.0118723	13264.9979
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	1142	2.1888764	5046.1146	9.973069	2000-2012 –> 2013-2019	4.0118723	13264.9979
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2025	2.1403141	8842.5591	17.909272	1982-1999 –> 2000-2012	3.7787585	19865.9783
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + 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 + 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 + nitrate + silicate	2025	2.1625100	8884.3428	12.574713	1982-1999 –> 2000-2012	3.8613513	20116.1247
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2025	2.1590686	8879.8926	12.833625	1982-1999 –> 2000-2012	3.8508069	20089.5577
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2025	2.1552741	8872.7687	13.534987	1982-1999 –> 2000-2012	3.8526638	20101.6301
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	2025	2.1403141	8844.5591	17.906511	1982-1999 –> 2000-2012	3.7782908	19868.3352
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 ~ temp + oxygen + aou + nitrate + silicate + phosphate	2025	2.2489702	9045.1143	18.192634	1982-1999 –> 2000-2012	3.9054295	20133.4764
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1109	2.7818295	5430.4610	17.251552	2000-2012 –> 2013-2019	4.9221436	14273.0201
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 + temp + aou + nitrate + silicate	1109	2.8205406	5461.1132	14.090309	2000-2012 –> 2013-2019	4.9830506	14345.4560
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1109	2.7324635	5392.7473	14.021401	2000-2012 –> 2013-2019	4.8915321	14272.6398
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1109	2.7167456	5379.9518	16.326712	2000-2012 –> 2013-2019	4.8720198	14252.7205
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1109	2.7685664	5421.8608	21.376840	2000-2012 –> 2013-2019	4.9088806	14266.4200
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + 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 + 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 + nitrate + silicate + phosphate_star	1109	2.7974952	5444.9165	11.875464	2000-2012 –> 2013-2019	5.0273272	14455.4189
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2804	2.3646915	12799.9189	15.947237	1982-1999 –> 2000-2012	4.4645090	28952.6908
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 + silicate + phosphate	2804	2.3920617	12862.4560	14.587684	1982-1999 –> 2000-2012	4.4588552	28894.8448
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
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 + silicate + phosphate	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2804	2.3899389	12859.4771	15.360569	1982-1999 –> 2000-2012	4.4556461	28889.9396
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	2804	2.3899389	12859.4771	15.360569	1982-1999 –> 2000-2012	4.4556461	28889.9396
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1515	2.7078202	7331.6999	19.383046	2000-2012 –> 2013-2019	5.0921815	20176.0738
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 + 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 + phosphate_star	1515	2.7598095	7391.3236	21.104764	2000-2012 –> 2013-2019	5.1666363	20290.2887
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1515	2.8637502	7503.3438	16.355938	2000-2012 –> 2013-2019	5.2558118	20367.7996
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	1515	2.7055611	7331.1710	20.886480	2000-2012 –> 2013-2019	5.0955000	20190.6481
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	1515	2.7055611	7331.1710	20.886480	2000-2012 –> 2013-2019	5.0955000	20190.6481
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	1036	1.5100084	3807.9434	14.539112	1982-1999 –> 2000-2012	3.0360994	8683.8943
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	1036	1.5100084	3807.9434	14.539112	1982-1999 –> 2000-2012	3.0360994	8683.8943
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 + phosphate_star	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 + nitrate + phosphate	1036	1.5197119	3821.2156	14.808950	1982-1999 –> 2000-2012	3.0586861	8719.3599
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1036	1.5041247	3801.8541	13.515384	1982-1999 –> 2000-2012	3.0308360	8680.8779
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1036	1.4997244	3795.7836	13.771377	1982-1999 –> 2000-2012	3.0163979	8657.3928
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1036	1.4997244	3795.7836	13.771377	1982-1999 –> 2000-2012	3.0163979	8657.3928
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 + oxygen + aou + nitrate + silicate + 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 + nitrate + silicate + 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 + nitrate + silicate + phosphate	513	1.6731627	1999.9292	11.689855	2000-2012 –> 2013-2019	3.1772874	5801.7833
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	513	1.6452734	1982.6831	11.380188	2000-2012 –> 2013-2019	3.1619970	5801.8206
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	513	1.6587161	1991.0319	11.883986	2000-2012 –> 2013-2019	3.1584405	5786.8155
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	513	1.6587161	1991.0319	11.883986	2000-2012 –> 2013-2019	3.1584405	5786.8155
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 + silicate + phosphate	513	1.6452734	1982.6831	11.380188	2000-2012 –> 2013-2019	3.1619970	5801.8206
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	513	1.6452734	1982.6831	11.380188	2000-2012 –> 2013-2019	3.1619970	5801.8206
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	983	2.9304503	4917.3900	22.456892	1982-1999 –> 2000-2012	5.6593028	11405.1644
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 + 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 + phosphate	983	2.9304503	4917.3900	22.456892	1982-1999 –> 2000-2012	5.6593028	11405.1644
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	983	2.9304503	4917.3900	22.456892	1982-1999 –> 2000-2012	5.6593028	11405.1644
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	983	2.9168969	4910.2762	23.384895	1982-1999 –> 2000-2012	5.6443939	11398.7229
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + 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 + phosphate + phosphate_star	569	3.3261262	2996.4099	29.121490	2000-2012 –> 2013-2019	6.2565764	7913.7999
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	569	3.3016373	2990.0003	28.844568	2000-2012 –> 2013-2019	6.2185342	7900.2765
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 + phosphate	569	3.3261262	2996.4099	29.121490	2000-2012 –> 2013-2019	6.2565764	7913.7999
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	569	3.3261262	2996.4099	29.121490	2000-2012 –> 2013-2019	6.2565764	7913.7999
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	569	3.3016373	2990.0003	28.844568	2000-2012 –> 2013-2019	6.2185342	7900.2765
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	569	3.3016373	2990.0003	28.844568	2000-2012 –> 2013-2019	6.2185342	7900.2765
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 + 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 + nitrate + silicate + phosphate	1204	3.9115984	6717.1862	25.623406	1982-1999 –> 2000-2012	7.4349324	15711.0028
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	1204	3.9115984	6717.1862	25.623406	1982-1999 –> 2000-2012	7.4349324	15711.0028
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1204	3.8590720	6682.6316	25.099675	1982-1999 –> 2000-2012	7.3908813	15682.5017
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1204	3.7604125	6622.2690	22.900385	1982-1999 –> 2000-2012	7.2584306	15591.9137
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1204	3.7604125	6622.2690	22.900385	1982-1999 –> 2000-2012	7.2584306	15591.9137
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	666	3.3641621	3521.9804	29.280436	2000-2012 –> 2013-2019	7.2864010	10245.7081
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 + 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 + nitrate + silicate + phosphate	666	3.3605250	3520.5396	29.191469	2000-2012 –> 2013-2019	7.2721234	10237.7258
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	666	3.3605250	3520.5396	29.191469	2000-2012 –> 2013-2019	7.2721234	10237.7258
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	666	3.5049850	3576.6022	26.715531	2000-2012 –> 2013-2019	7.2653975	10198.8712
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	666	3.5049850	3576.6022	26.715531	2000-2012 –> 2013-2019	7.2653975	10198.8712
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 + oxygen + aou + nitrate	804	1.0115481	2314.1161	9.678931	1982-1999 –> 2000-2012	1.8601691	5028.4371
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	804	0.9922043	2285.0686	8.390838	1982-1999 –> 2000-2012	1.8403520	5000.1888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	804	0.9922043	2285.0686	8.390838	1982-1999 –> 2000-2012	1.8403520	5000.1888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	804	1.0092107	2312.3961	9.141038	1982-1999 –> 2000-2012	1.8507353	5010.6458
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 + phosphate_star	804	0.9934328	2285.0583	8.087713	1982-1999 –> 2000-2012	1.8641000	5054.5716
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 + aou + phosphate + phosphate_star	434	1.0174317	1260.6390	9.169936	2000-2012 –> 2013-2019	2.0108645	3545.6973
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 + oxygen + aou + nitrate + phosphate	434	1.0172781	1262.5079	9.052235	2000-2012 –> 2013-2019	2.0094824	3547.5766
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	434	1.0172781	1262.5079	9.052235	2000-2012 –> 2013-2019	2.0094824	3547.5766
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 + phosphate	434	1.0174317	1260.6390	9.169936	2000-2012 –> 2013-2019	2.0108645	3545.6973
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	434	1.0174317	1260.6390	9.169936	2000-2012 –> 2013-2019	2.0108645	3545.6973
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	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate	936	0.7505637	2133.1187	7.864208	1982-1999 –> 2000-2012	1.3349866	4431.0017
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	936	0.7426781	2115.3468	7.167238	1982-1999 –> 2000-2012	1.3257737	4409.3412
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	936	0.7426781	2115.3468	7.167238	1982-1999 –> 2000-2012	1.3257737	4409.3412
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 + silicate + phosphate	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	936	0.7827535	2213.7300	10.257314	1982-1999 –> 2000-2012	1.3501586	4437.0753
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate	497	0.8286782	1237.6291	9.047780	2000-2012 –> 2013-2019	1.5792420	3370.7478
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	497	0.8223025	1231.9518	8.292878	2000-2012 –> 2013-2019	1.5649805	3347.2986
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	497	0.8223025	1231.9518	8.292878	2000-2012 –> 2013-2019	1.5649805	3347.2986
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	497	0.8285961	1239.5306	9.116248	2000-2012 –> 2013-2019	1.5790837	3374.4593
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 + phosphate_star	497	0.8492568	1262.0116	6.971050	2000-2012 –> 2013-2019	1.6225461	3450.9696
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1540	0.3404219	1067.4161	1.568671	1982-1999 –> 2000-2012	0.7401038	3315.6553
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1540	0.3404219	1067.4161	1.568671	1982-1999 –> 2000-2012	0.7401038	3315.6553
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1540	0.3499661	1152.5806	1.618526	1982-1999 –> 2000-2012	0.7393463	3284.6693
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 ~ temp + oxygen + aou + nitrate + phosphate	1540	0.3447362	1104.2051	1.681506	1982-1999 –> 2000-2012	0.7503579	3416.0603
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star	1540	0.3447362	1104.2051	1.681506	1982-1999 –> 2000-2012	0.7503579	3416.0603
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	1540	0.3632927	1265.6880	1.840394	1982-1999 –> 2000-2012	0.7552045	3424.6025
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + 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 + nitrate + silicate + 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 + 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 ~ temp + oxygen + aou + nitrate + phosphate	819	0.6693303	1680.6011	8.052277	2000-2012 –> 2013-2019	1.0140665	2784.8062
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star	819	0.6693303	1680.6011	8.052277	2000-2012 –> 2013-2019	1.0140665	2784.8062
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	819	0.6403755	1608.1638	7.320694	2000-2012 –> 2013-2019	1.0036682	2873.8518
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	819	0.6397228	1608.4936	7.182190	2000-2012 –> 2013-2019	0.9823288	2695.6071
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	819	0.6397228	1608.4936	7.182190	2000-2012 –> 2013-2019	0.9823288	2695.6071
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2693	0.3242828	1591.0173	2.115462	1982-1999 –> 2000-2012	0.6239944	3193.3546
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2693	0.3242747	1592.8815	2.111834	1982-1999 –> 2000-2012	0.6221868	3152.5217
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2693	0.3242747	1592.8815	2.111834	1982-1999 –> 2000-2012	0.6221868	3152.5217
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2693	0.3242570	1592.5877	2.108998	1982-1999 –> 2000-2012	0.6217599	3142.0281
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2693	0.3252382	1608.8612	2.107725	1982-1999 –> 2000-2012	0.6235338	3178.0490
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2693	0.3427199	1890.8498	2.140263	1982-1999 –> 2000-2012	0.6267937	3097.4662
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 + 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 + aou + nitrate + silicate + phosphate	1557	0.3502557	1165.7023	2.704232	2000-2012 –> 2013-2019	0.6745385	2756.7196
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1557	0.3498036	1163.6809	2.743213	2000-2012 –> 2013-2019	0.6740783	2756.5624
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1557	0.3498036	1163.6809	2.743213	2000-2012 –> 2013-2019	0.6740783	2756.5624
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1557	0.3499444	1164.9339	2.736657	2000-2012 –> 2013-2019	0.6742014	2757.5216
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1557	0.3517129	1180.6317	2.735288	2000-2012 –> 2013-2019	0.6769511	2789.4928
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1557	0.3767365	1394.6591	2.691481	2000-2012 –> 2013-2019	0.7194565	3285.5088
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 + 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 + nitrate + silicate + phosphate_star	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate	5288	5.9081446	33807.1795	33.261331	1982-1999 –> 2000-2012	12.1256599	80522.5792
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	5288	5.9081446	33807.1795	33.261331	1982-1999 –> 2000-2012	12.1256599	80522.5792
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 + temp + aou + nitrate + silicate + phosphate	5288	5.9717691	33922.4629	33.344196	1982-1999 –> 2000-2012	12.2304017	80734.6862
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5288	6.0193373	34006.3725	33.525175	1982-1999 –> 2000-2012	12.3192746	80913.2262
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	5288	5.9081398	33809.1709	33.266206	1982-1999 –> 2000-2012	12.1253508	80525.8665
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	5288	5.9081398	33809.1709	33.266206	1982-1999 –> 2000-2012	12.1253508	80525.8665
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	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 + oxygen + aou + nitrate + phosphate	2816	5.6382388	17746.4099	27.667683	2000-2012 –> 2013-2019	11.5463834	51553.5894
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + phosphate_star	2816	5.6382388	17746.4099	27.667683	2000-2012 –> 2013-2019	11.5463834	51553.5894
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 + temp + aou + nitrate + silicate + phosphate	2816	5.6630293	17773.1187	26.656155	2000-2012 –> 2013-2019	11.6347984	51695.5816
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2816	5.7089593	17818.6127	26.887019	2000-2012 –> 2013-2019	11.7282966	51824.9853
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2816	5.6377423	17747.9139	27.730751	2000-2012 –> 2013-2019	11.5458821	51557.0848
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	2816	5.6377423	17747.9139	27.730751	2000-2012 –> 2013-2019	11.5458821	51557.0848
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	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	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + 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 + 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 + temp + aou + nitrate + silicate + phosphate	5525	4.4061232	32082.3678	47.078239	1982-1999 –> 2000-2012	8.4591499	75569.4077
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5525	4.4704675	32242.5684	45.886023	1982-1999 –> 2000-2012	8.5687687	75900.9471
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5525	4.5297005	32388.0177	42.929136	1982-1999 –> 2000-2012	8.7728485	76582.1167
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 + silicate + phosphate	5525	4.5297005	32388.0177	42.929136	1982-1999 –> 2000-2012	8.7728485	76582.1167
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	5525	4.4837948	32275.4615	45.595755	1982-1999 –> 2000-2012	8.5964589	75987.8008
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	5525	4.4837948	32275.4615	45.595755	1982-1999 –> 2000-2012	8.5964589	75987.8008
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	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 + temp + aou + nitrate + silicate + phosphate	2918	4.2631014	16759.1074	51.269363	2000-2012 –> 2013-2019	8.6692246	48841.4752
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2918	4.3372834	16859.7858	48.195586	2000-2012 –> 2013-2019	8.8077509	49102.3542
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 + silicate + phosphate	2918	4.4724453	17038.8757	46.346036	2000-2012 –> 2013-2019	9.0021458	49426.8935
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2918	4.4724453	17038.8757	46.346036	2000-2012 –> 2013-2019	9.0021458	49426.8935
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2918	4.3495628	16876.2850	47.646394	2000-2012 –> 2013-2019	8.8333577	49151.7465
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	2918	4.3495628	16876.2850	47.646394	2000-2012 –> 2013-2019	8.8333577	49151.7465
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 + phosphate	4544	3.9265162	25339.4488	20.226531	1982-1999 –> 2000-2012	7.6839109	59845.1956
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4544	3.9265162	25339.4488	20.226531	1982-1999 –> 2000-2012	7.6839109	59845.1956
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	4544	3.8686141	25206.4352	27.053829	1982-1999 –> 2000-2012	7.6376832	59753.1959
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	4544	3.8865474	25248.4661	26.552236	1982-1999 –> 2000-2012	7.6319717	59716.0842
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 + silicate + phosphate	4544	3.8865474	25248.4661	26.552236	1982-1999 –> 2000-2012	7.6319717	59716.0842
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	4544	3.8865474	25248.4661	26.552236	1982-1999 –> 2000-2012	7.6319717	59716.0842
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	2447	4.2048977	13987.2925	31.207461	2000-2012 –> 2013-2019	8.0962494	39244.9857
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	2447	4.2048977	13987.2925	31.207461	2000-2012 –> 2013-2019	8.0962494	39244.9857
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 + 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 + temp + aou + nitrate + silicate + phosphate	2447	4.2001695	13983.7864	31.635505	2000-2012 –> 2013-2019	8.0687836	39190.2216
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 + silicate + phosphate	2447	4.2282323	14016.3761	23.095241	2000-2012 –> 2013-2019	8.1147797	39264.8422
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2447	4.1678205	13945.9476	29.090807	2000-2012 –> 2013-2019	8.0196559	39112.8814
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2447	4.1678205	13945.9476	29.090807	2000-2012 –> 2013-2019	8.0196559	39112.8814
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	5354	4.1297714	30396.3157	22.529968	1982-1999 –> 2000-2012	7.6991045	70948.9367
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	5354	4.1297714	30396.3157	22.529968	1982-1999 –> 2000-2012	7.6991045	70948.9367
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 + phosphate_star	5354	4.1643941	30483.7138	22.734855	1982-1999 –> 2000-2012	7.7513405	71108.4774
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	5354	4.1067055	30336.3407	20.455714	1982-1999 –> 2000-2012	7.7237355	71088.9022
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	5354	4.1067055	30336.3407	20.455714	1982-1999 –> 2000-2012	7.7237355	71088.9022
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2868	4.5159063	16802.6588	17.625584	2000-2012 –> 2013-2019	8.6492852	47208.3242
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2868	4.4937059	16774.3909	19.327696	2000-2012 –> 2013-2019	8.6234773	47170.7066
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	2868	4.4937059	16774.3909	19.327696	2000-2012 –> 2013-2019	8.6234773	47170.7066
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 + phosphate_star	2868	4.5360260	16826.1577	17.606576	2000-2012 –> 2013-2019	8.7004201	47309.8716
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2868	4.5159063	16802.6588	17.625584	2000-2012 –> 2013-2019	8.6492852	47208.3242
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2868	4.5159063	16802.6588	17.625584	2000-2012 –> 2013-2019	8.6492852	47208.3242
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(27,27.25]	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate	6466	3.9057692	35982.9778	48.713871	1982-1999 –> 2000-2012	7.0697021	81432.4909
Indo-Pacific	(27,27.25]	cstar_tref ~ oxygen + aou + nitrate + silicate + phosphate_star	6466	3.9057692	35982.9778	48.713871	1982-1999 –> 2000-2012	7.0697021	81432.4909
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	6466	3.8726504	35874.8540	50.618008	1982-1999 –> 2000-2012	6.9727897	80966.3689
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	6466	3.8726504	35874.8540	50.618008	1982-1999 –> 2000-2012	6.9727897	80966.3689
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	6466	3.9241316	36045.6333	33.497688	1982-1999 –> 2000-2012	7.1732307	81966.6016
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 + silicate + phosphate	6466	3.9241316	36045.6333	33.497688	1982-1999 –> 2000-2012	7.1732307	81966.6016
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 + phosphate_star	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 + phosphate + phosphate_star	3470	4.4451810	20216.6683	27.341770	2000-2012 –> 2013-2019	8.3693126	56262.3016
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 + silicate + phosphate	3470	4.4451810	20216.6683	27.341770	2000-2012 –> 2013-2019	8.3693126	56262.3016
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	3470	4.4451810	20216.6683	27.341770	2000-2012 –> 2013-2019	8.3693126	56262.3016
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3470	4.4723380	20256.9380	25.616236	2000-2012 –> 2013-2019	8.4223646	56385.6280
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3470	4.4723380	20256.9380	25.616236	2000-2012 –> 2013-2019	8.4223646	56385.6280
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3470	4.4723380	20256.9380	25.616236	2000-2012 –> 2013-2019	8.4223646	56385.6280
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
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 + silicate + phosphate	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5847	3.3461863	30731.3292	33.390589	1982-1999 –> 2000-2012	6.2704796	70078.9213
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	5847	3.2436036	30369.2208	32.869663	1982-1999 –> 2000-2012	6.1018904	69358.4575
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	5847	3.2436036	30369.2208	32.869663	1982-1999 –> 2000-2012	6.1018904	69358.4575
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	5847	3.3461863	30731.3292	33.390589	1982-1999 –> 2000-2012	6.2704796	70078.9213
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	5847	3.3461863	30731.3292	33.390589	1982-1999 –> 2000-2012	6.2704796	70078.9213
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3127	3.7363167	17133.4407	33.056947	2000-2012 –> 2013-2019	6.9928819	47549.2983
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 + silicate + phosphate	3127	3.7363167	17133.4407	33.056947	2000-2012 –> 2013-2019	6.9928819	47549.2983
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	3127	3.7363167	17133.4407	33.056947	2000-2012 –> 2013-2019	6.9928819	47549.2983
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3127	3.8437243	17308.6883	33.232474	2000-2012 –> 2013-2019	7.1899105	48040.0175
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3127	3.8437243	17308.6883	33.232474	2000-2012 –> 2013-2019	7.1899105	48040.0175
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3127	3.8437243	17308.6883	33.232474	2000-2012 –> 2013-2019	7.1899105	48040.0175
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	5836	3.1290994	29892.6288	11.691571	1982-1999 –> 2000-2012	5.4155598	66315.3726
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5836	3.1364102	29919.8673	11.159560	1982-1999 –> 2000-2012	5.4363003	66437.5434
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	5836	3.0127413	29450.3204	12.655245	1982-1999 –> 2000-2012	5.4217398	66719.3261
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 + silicate + phosphate	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	5836	3.1281300	29889.0122	10.977139	1982-1999 –> 2000-2012	5.4236431	66375.8090
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	5836	3.1281300	29889.0122	10.977139	1982-1999 –> 2000-2012	5.4236431	66375.8090
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	3104	3.6528449	16867.2734	10.285132	2000-2012 –> 2013-2019	6.7819443	46759.9022
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	3104	3.4637436	16537.2790	14.276204	2000-2012 –> 2013-2019	6.4764849	45987.5994
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 + silicate	3104	3.4945155	16590.1873	14.687842	2000-2012 –> 2013-2019	6.5249366	46106.8027
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	3104	3.6446048	16853.2536	10.270662	2000-2012 –> 2013-2019	6.7727348	46742.2658
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	3104	3.6446048	16853.2536	10.270662	2000-2012 –> 2013-2019	6.7727348	46742.2658
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
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 + silicate + phosphate	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2317	2.6406178	11089.0349	20.968772	1982-1999 –> 2000-2012	4.5482001	24032.6569
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2317	2.6387244	11087.7111	21.365807	1982-1999 –> 2000-2012	4.5411434	24016.3604
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2317	2.6387244	11087.7111	21.365807	1982-1999 –> 2000-2012	4.5411434	24016.3604
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2317	2.6406178	11089.0349	20.968772	1982-1999 –> 2000-2012	4.5482001	24032.6569
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2317	2.6406178	11089.0349	20.968772	1982-1999 –> 2000-2012	4.5482001	24032.6569
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1264	2.9816794	6364.8830	35.980451	2000-2012 –> 2013-2019	5.6310431	17471.2407
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 + silicate	1264	2.9877934	6368.0614	34.251747	2000-2012 –> 2013-2019	5.6399206	17477.2502
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1264	3.0665742	6433.8549	28.861392	2000-2012 –> 2013-2019	5.7071919	17522.8898
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1264	3.0426579	6416.0617	30.875615	2000-2012 –> 2013-2019	5.6813823	17503.7728
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1264	3.0426579	6416.0617	30.875615	2000-2012 –> 2013-2019	5.6813823	17503.7728
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2907	2.7368303	14119.2462	28.422520	1982-1999 –> 2000-2012	4.8468402	31503.6084
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2907	2.7368303	14119.2462	28.422520	1982-1999 –> 2000-2012	4.8468402	31503.6084
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2907	2.7016786	14044.0880	28.230018	1982-1999 –> 2000-2012	4.8032130	31396.1702
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	2907	2.7016786	14044.0880	28.230018	1982-1999 –> 2000-2012	4.8032130	31396.1702
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 + 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 ~ temp + oxygen + aou + nitrate + phosphate	2907	2.7026569	14044.1928	28.417644	1982-1999 –> 2000-2012	4.8043308	31394.8076
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + phosphate_star	2907	2.7026569	14044.1928	28.417644	1982-1999 –> 2000-2012	4.8043308	31394.8076
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 ~ sal + temp + oxygen + aou + nitrate + phosphate	1542	3.1767440	7956.6687	31.881688	2000-2012 –> 2013-2019	5.8784226	22000.7567
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 ~ sal + temp + oxygen + aou + nitrate + silicate	1542	3.1820680	7961.8330	32.077871	2000-2012 –> 2013-2019	5.9059571	22053.5223
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
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	1542	3.1822510	7960.0104	31.986959	2000-2012 –> 2013-2019	5.9062344	22049.9010
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	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2467	2.1545744	10804.3477	8.077510	1982-1999 –> 2000-2012	4.0373824	25358.7135
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2467	2.1545744	10804.3477	8.077510	1982-1999 –> 2000-2012	4.0373824	25358.7135
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2467	2.1560629	10807.7551	8.090281	1982-1999 –> 2000-2012	4.0424086	25375.4231
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2467	2.1555668	10806.6196	8.083332	1982-1999 –> 2000-2012	4.0422093	25375.4025
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	2467	2.1537997	10802.5732	8.082020	1982-1999 –> 2000-2012	4.0387698	25365.0718
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 + silicate + phosphate	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + 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 + nitrate + silicate + 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 + nitrate + silicate + phosphate	1354	2.3851377	6212.4332	8.081850	2000-2012 –> 2013-2019	4.5412006	17020.1883
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1354	2.3838054	6210.9200	8.096156	2000-2012 –> 2013-2019	4.5393721	17017.5396
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1354	2.3903242	6218.3153	8.809476	2000-2012 –> 2013-2019	4.5441239	17020.8885
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 + silicate + phosphate_star	1354	2.4042191	6234.0112	8.580453	2000-2012 –> 2013-2019	4.5711943	17066.6755
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	1354	2.3852578	6212.5695	8.077633	2000-2012 –> 2013-2019	4.5415806	17020.9193
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	1354	2.3852578	6212.5695	8.077633	2000-2012 –> 2013-2019	4.5415806	17020.9193
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1718	1.8382258	6983.3126	9.837262	1982-1999 –> 2000-2012	3.4140192	16570.1588
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1718	1.8382258	6983.3126	9.837262	1982-1999 –> 2000-2012	3.4140192	16570.1588
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1718	1.8460772	6997.9571	9.791021	1982-1999 –> 2000-2012	3.4264679	16599.6844
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1718	1.7729967	6859.1708	9.239349	1982-1999 –> 2000-2012	3.3162971	16339.5889
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 + silicate + phosphate	1718	1.7729967	6859.1708	9.239349	1982-1999 –> 2000-2012	3.3162971	16339.5889
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1718	1.7729967	6859.1708	9.239349	1982-1999 –> 2000-2012	3.3162971	16339.5889
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 + 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 ~ sal + temp + aou + silicate + phosphate + phosphate_star	966	1.9441954	4041.8760	8.956172	2000-2012 –> 2013-2019	3.7171920	10901.0468
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 + silicate + phosphate	966	1.9441954	4041.8760	8.956172	2000-2012 –> 2013-2019	3.7171920	10901.0468
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	966	1.9441954	4041.8760	8.956172	2000-2012 –> 2013-2019	3.7171920	10901.0468
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	966	2.0001288	4094.6740	9.111786	2000-2012 –> 2013-2019	3.8033978	11010.0164
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + 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 + 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 + silicate + phosphate	966	2.0001288	4094.6740	9.111786	2000-2012 –> 2013-2019	3.8033978	11010.0164
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	966	2.0001288	4094.6740	9.111786	2000-2012 –> 2013-2019	3.8033978	11010.0164
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	14627	1.2259117	47484.2225	13.501571	1982-1999 –> 2000-2012	2.2575423	106474.9432
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.2259117	47484.2225	13.501571	1982-1999 –> 2000-2012	2.2575423	106474.9432
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	14627	1.2268725	47507.1424	13.475607	1982-1999 –> 2000-2012	2.2591107	106521.8086
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	14627	1.2297367	47575.3572	13.482682	1982-1999 –> 2000-2012	2.2639071	106666.0832
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 + nitrate + silicate + phosphate	14627	1.2284384	47544.4552	13.457848	1982-1999 –> 2000-2012	2.2617904	106602.9820
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	14627	1.2284384	47544.4552	13.457848	1982-1999 –> 2000-2012	2.2617904	106602.9820
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	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 + 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 + oxygen + aou + nitrate + silicate + phosphate	7804	1.3942652	27350.3851	10.629411	2000-2012 –> 2013-2019	2.6201769	74834.6076
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3942652	27350.3851	10.629411	2000-2012 –> 2013-2019	2.6201769	74834.6076
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	7804	1.3952422	27361.3180	10.595906	2000-2012 –> 2013-2019	2.6221147	74868.4604
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	7804	1.3981579	27393.9012	10.590632	2000-2012 –> 2013-2019	2.6278946	74969.2583
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 + nitrate + silicate + phosphate	7804	1.3967133	27377.7659	10.570114	2000-2012 –> 2013-2019	2.6251516	74922.2211
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	7804	1.3967133	27377.7659	10.570114	2000-2012 –> 2013-2019	2.6251516	74922.2211
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + 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 + nitrate + silicate + 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	2.3533016	1197.3787
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.1061591	703.0851
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	6.4807188	13369.4935
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	6.3308887	8355.1291
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	6.1539505	16744.6499
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	6.4755905	10656.2885
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	3.5228369	21681.8262
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.2445205	15807.0781
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.2793088	17640.5097
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	3.9509189	13167.7563
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	3.8068435	19940.9194
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	4.8985344	14272.7859
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	4.4463643	28868.2633
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	5.0990347	20180.4248
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	3.0188967	8661.3439
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	3.1474089	5781.1689
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	5.6362040	11388.7061
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.1931730	7892.5243
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	7.1093759	15457.4869
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	7.0558168	10105.4333
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	1.8344771	4983.7663
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	2.0072801	3543.6387
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	1.3203051	4381.3004
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	1.5638511	3346.6165
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.7392262	3295.0046
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.9677854	2667.1446
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.6143494	2949.4343
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.6730615	2744.2465
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.1211569	80514.2413
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	11.5338974	51546.5030
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.5455010	75845.8324
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	8.7520723	48994.4049
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.5891927	59602.8109
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	8.0057979	39083.2927
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.6879948	70921.6604
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.6105383	47137.9721
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	6.9390451	80888.6705
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	8.2420336	55908.1155
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	6.1193099	69411.2706
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	7.0170689	47599.3133
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	5.3128430	65839.0308
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	6.5695849	46205.5728
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	4.5287672	23981.3836
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	5.6365943	17464.1676
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	4.8083288	31404.1032
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	5.8835575	22010.3828
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	4.0309091	25330.1191
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	4.5407009	17019.9602
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	3.2580061	16164.5806
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	3.6719843	10822.9587
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	2.2413757	106025.7973
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	2.5900559	74333.1537

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 (rmse) 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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
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	temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26]	8	10	8	5	5	10	8	8
(26,26.5]	10	10	10	4	4	10	6	5
(26.5,26.75]	10	4	8	6	6	5	10	10
(26.75,27]	10	4	8	6	6	5	10	10
(27,27.25]	8	8	7	5	6	10	10	8
(27.25,27.5]	10	10	7	4	3	9	10	7
(27.5,27.75]	8	6	7	7	4	10	10	9
(27.75,27.85]	10	10	8	6	4	10	5	6
(27.85,27.95]	10	4	8	6	6	10	5	10
(27.95,28.05]	8	10	8	4	6	7	8	10
(28.05,28.1]	10	6	9	4	5	10	6	10
(28.1,28.15]	10	7	9	5	4	9	7	10
(28.15,28.2]	10	10	10	4	4	5	6	10
(28.2, Inf]	8	10	7	6	4	10	9	7
total	130.00	109.00	114.00	72.00	67.00	120.00	110.00	120.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	8	10	8	5	5	10	8	8
(26,26.5]	8	10	8	4	4	10	10	7
(26.5,26.75]	10	6	9	5	6	7	10	8
(26.75,27]	10	4	8	6	6	5	10	10
(27,27.25]	8	9	7	5	5	10	10	7
(27.25,27.5]	9	10	7	3	4	10	10	7
(27.5,27.75]	8	9	6	6	5	10	10	7
(27.75,27.85]	10	7	8	6	5	10	8	8
(27.85,27.95]	10	4	8	6	6	10	5	10
(27.95,28.05]	8	10	8	5	5	8	8	10
(28.05,28.1]	10	4	8	6	6	10	5	10
(28.1,28.15]	10	6	9	4	5	10	6	10
(28.15,28.2]	10	10	10	4	4	5	6	10
(28.2, Inf]	8	10	7	5	5	10	9	7
total	127.00	109.00	111.00	70.00	71.00	125.00	115.00	119.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	10	10	8	5	5	10	6	6
(26,26.5]	8	8	7	6	5	10	10	8
(26.5,26.75]	10	5	8	6	5	10	10	6
(26.75,27]	10	6	9	5	6	8	7	10
(27,27.25]	10	8	9	6	5	6	10	6
(27.25,27.5]	10	4	8	6	6	5	10	10
(27.5,27.75]	8	7	7	5	5	10	10	10
(27.75,27.85]	10	4	8	6	6	5	10	10
(27.85,27.95]	10	10	10	5	5	6	6	8
(27.95,28.05]	10	7	7	5	5	10	10	8
(28.05,28.1]	10	7	8	6	5	8	10	8
(28.1, Inf]	8	10	8	5	5	8	10	8
total	114.00	86.00	97.00	66.00	63.00	96.00	109.00	98.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	10	10	8	5	5	10	6	6
(26,26.5]	8	8	8	5	5	10	10	8
(26.5,26.75]	10	9	9	6	4	6	10	6
(26.75,27]	10	6	9	5	6	8	7	10
(27,27.25]	10	4	8	6	6	5	10	10
(27.25,27.5]	10	4	8	6	6	5	10	10
(27.5,27.75]	8	6	8	5	4	10	10	10
(27.75,27.85]	10	5	8	5	5	7	10	10
(27.85,27.95]	10	10	10	4	4	5	6	10
(27.95,28.05]	8	9	8	4	5	10	10	8
(28.05,28.1]	10	4	8	6	6	5	10	10
(28.1, Inf]	8	10	8	5	5	8	10	8
total	112.00	85.00	100.00	62.00	61.00	89.00	109.00	106.00

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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
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
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
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_0.7.5      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