eMLR - model fitting

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Last updated: 2020-12-16

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Rmd	3d5a3e2	jens-daniel-mueller	2020-12-16	new MLR fitting routine
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Rmd	923aa7f	jens-daniel-mueller	2020-12-14	rebuild with new path and auto folder creation
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Rmd	bc61ce3	Jens Müller	2020-11-30	Initial commit

---

1 Required data

Required are:

• cleaned and prepared GLODAPv2_2020 file

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

2 Fitting all models

2.1 RMSE calculation

Individual linear regression models were fitted for C* as a function of each predictor combination. Fitting was performed separately within each basin, era, and slab. The root mean squared error (RMSE) was calculated for each fitted model.

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)

# extract diagnostics of each linear model
lm_all <- as_tibble(lm_all$result)

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

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

lm_all <- lm_all %>% 
  filter(n >= params_local$predictors_min,
         n <= params_local$predictors_max)

3 Fitting best models

After selecting 10 linear regression models with lowest summed RMSE across all eras, models are fitted again and model coefficients are saved to file.

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

# run similar loop as for rmse calculation
# to get model coefficients for 10 best models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    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)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[2]
        print(i_predictors)
        
        lm_single <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        lm_single_formula <- as.formula(lm_single)
        
        lm_fit_single <- lm(lm_single_formula,
                            data = GLODAP_basin_era_slab)
        
        # plotting model diagnostics
        if (params_local$plot_all_figures == "y") {
          p_model <- ggnostic(
            lm_fit_single,
            columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
            title = paste(
              "eras:",
              i_eras,
              "| era:",
              i_era,
              "| basin:",
              i_basin,
              "| gamma slab:",
              i_gamma_slab,
              "| predictors:",
              i_predictors
            )
          )
          
          ggsave(
            plot = p_model,
            path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
            filename = paste(
              "MLR_residuals",
              i_eras,
              i_era,
              i_basin,
              i_gamma_slab,
              i_predictors,
              "predictors.png",
              sep = "_"
            ),
            width = 14,
            height = 8
          )
          
          rm(p_model)
          
        }
        
        i_rmse <-
          c(crossprod(lm_fit_single$residuals)) / length(lm_fit_single$residuals)
        
        # collect model coefficients in data frame
        coefficients <- tidy(lm_fit_single)
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = lm_single,
            rmse = i_rmse
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
        
      }
      
      
    }
  }
  
}

rm(lm_fit_single, coefficients, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   lm_single, lm_single_formula,
   i_basin, i_era, i_gamma_slab, i_predictors, lm_all)

3.1 Prepare coeffcients

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

# select relevant columns
lm_all_fitted <- lm_all_fitted %>% 
  select(basin, gamma_slab, era, model, term, estimate, rmse)

# 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)

3.2 Predictor selection

Within each basin and slab, the 10 linear regression models with lowest summed RMSE across two adjacent (ie compared) eras were selected.

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

# subset models with lowest RMSE sum
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, era)

# plot table for website
lm_best %>% 
  select(basin, gamma_slab, era, eras, model, rmse, rmse_sum) %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")

basin	gamma_slab	era	eras	model	rmse	rmse_sum
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	47.399614	84.10257
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	47.399614	84.10257
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	47.399614	84.10257
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	49.510559	85.98707
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	49.510559	85.98707
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	48.410333	84.72810
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	48.532803	84.77260
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	48.619175	84.73506
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	48.619175	84.73506
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	48.619175	84.73506
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	43.724838	91.12445
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	43.724838	91.12445
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	43.724838	91.12445
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	45.024036	94.53459
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	45.024036	94.53459
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	43.900115	92.31045
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	43.929409	92.46221
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	43.948818	92.56799
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	43.948818	92.56799
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	43.948818	92.56799
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	25.194813	48.28134
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	25.194813	48.28134
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	25.194813	48.28134
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	25.201391	48.38740
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	25.201391	48.38740
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	25.201391	48.38740
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	25.157709	47.99898
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	25.157709	47.99898
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	25.201391	48.38740
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	25.157709	47.99898
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	42.522739	67.71755
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	42.522739	67.71755
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	42.522739	67.71755
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	43.663618	68.86501
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	43.663618	68.86501
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	43.663618	68.86501
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	43.358723	68.51643
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	43.358723	68.51643
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	43.663618	68.86501
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	43.358723	68.51643
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	15.271125	29.38852
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	15.271125	29.38852
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	15.271125	29.38852
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	15.542280	30.04136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	15.542280	30.04136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	15.542280	30.04136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	15.462104	29.83642
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	15.462104	29.83642
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	15.542280	30.04136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	15.462104	29.83642
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	45.907607	61.17873
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	45.907607	61.17873
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	45.907607	61.17873
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	46.654570	61.90392
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	46.657275	61.89408
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	46.657275	61.89408
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	46.657275	61.89408
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	46.614812	62.07692
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	46.614812	62.07692
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	46.614812	62.07692
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	20.452792	39.48237
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	20.452792	39.48237
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	20.452792	39.48237
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	20.463060	39.49688
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	20.415409	39.32107
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	20.267869	39.09344
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	20.464671	39.50165
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	20.268122	39.09591
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	20.268122	39.09591
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	20.268122	39.09591
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	30.280937	50.73373
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	30.280937	50.73373
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	30.280937	50.73373
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	30.637144	50.90501
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	30.622516	50.89064
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	30.622516	50.89064
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	30.622516	50.89064
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	30.008434	50.59830
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	30.008434	50.59830
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	30.008434	50.59830
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	23.658293	50.50428
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	23.722053	50.55898
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	23.722053	50.55898
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	23.722053	50.55898
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	23.602705	50.95749
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	23.602705	50.95749
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	23.602705	50.95749
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate_star	23.964269	51.34948
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + oxygen + silicate + phosphate_star	24.028534	51.41058
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + silicate + phosphate + phosphate_star	24.028534	51.41058
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	45.343007	69.00130
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	45.343418	69.06547
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	45.343418	69.06547
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	45.343418	69.06547
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	45.288014	68.89072
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	45.288014	68.89072
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	45.288014	68.89072
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	45.480871	69.44514
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	45.483121	69.51166
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + silicate + phosphate + phosphate_star	45.483121	69.51166
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	17.702291	38.57034
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	17.702291	38.57034
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	17.702291	38.57034
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	17.658456	38.58889
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	17.730608	38.66446
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	17.730608	38.66446
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate_star	17.730608	38.66446
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	17.695094	38.60001
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	17.695094	38.60001
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	17.695094	38.60001
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	47.052574	64.75487
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	47.052574	64.75487
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	47.052574	64.75487
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate_star	47.061791	64.76558
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	46.387327	64.25969
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	46.473652	64.13211
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + phosphate_star	47.052649	64.78326
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	46.434908	64.13000
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	46.434908	64.13000
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	46.434908	64.13000
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	19.566334	38.12535
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	19.566334	38.12535
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	19.566334	38.12535
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	19.419718	38.08281
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	19.563532	38.53040
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	19.431605	38.26399
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	19.431605	38.26399
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	19.431605	38.26399
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	19.952213	38.55170
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	19.952213	38.55170
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	35.836524	55.40286
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	35.836524	55.40286
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	35.836524	55.40286
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	35.851463	55.27118
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	36.043941	55.60747
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	35.898839	55.33044
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	35.898839	55.33044
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	35.898839	55.33044
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	35.898899	55.85111
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	35.898899	55.85111
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	22.864628	41.29799
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	22.864628	41.29799
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	22.866251	41.29967
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	22.864628	41.29799
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	22.961342	41.61645
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	22.865183	41.28947
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	22.900694	41.53365
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	22.865314	41.38838
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	22.865314	41.38838
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	22.865314	41.38838
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	48.428564	71.29319
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	48.428564	71.29319
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	48.428564	71.29319
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	48.663799	71.52898
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	48.439248	71.33994
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	48.675729	71.54104
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	48.675729	71.54104
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	48.675729	71.54104
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	48.726121	71.73789
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	48.726121	71.73789
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	24.791671	38.34415
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	24.791671	38.34415
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	24.791671	38.34415
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate_star	25.099791	38.66457
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	24.805198	38.42462
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	24.784262	38.34107
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	24.796275	38.39140
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	24.796275	38.39140
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate	25.893732	40.44130
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	24.796275	38.39140
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	33.344709	58.13638
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	33.344709	58.13638
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	33.344709	58.13638
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate_star	35.607587	60.70738
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	33.522425	58.32762
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	33.414670	58.19893
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	33.527668	58.32394
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	33.527668	58.32394
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate	33.553965	59.44770
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	33.527668	58.32394
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	33.710537	46.23837
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	33.710537	46.23837
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	33.710537	46.23837
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate_star	33.713345	46.27617
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	34.251927	47.47889
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	34.054876	46.79469
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	33.710098	46.25645
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	33.897383	46.55108
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	33.897383	46.55108
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	33.897383	46.55108
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	35.126265	68.83680
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	35.126265	68.83680
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	35.126265	68.83680
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate_star	35.789755	69.50310
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	35.793519	70.47206
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	35.920599	69.97548
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	35.394891	69.10499
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	35.687350	69.58473
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	35.687350	69.58473
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	35.687350	69.58473
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	37.352919	49.68690
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	37.352919	49.68690
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	37.352919	49.68690
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	38.350439	51.76419
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	38.350439	51.76419
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	38.350439	51.76419
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	37.394765	50.60240
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	37.394765	50.60240
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	38.350439	51.76419
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	37.394765	50.60240
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	35.905046	73.25796
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	35.905046	73.25796
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	35.905046	73.25796
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	38.613036	76.96347
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	38.613036	76.96347
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	38.613036	76.96347
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	37.005260	74.40002
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	37.005260	74.40002
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	38.613036	76.96347
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	37.005260	74.40002
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	45.307344	57.39336
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	45.307344	57.39336
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	45.307344	57.39336
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	45.463968	57.62216
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	45.381392	57.35716
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	45.457153	57.62843
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	45.398886	57.36830
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	45.398886	57.36830
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	45.398886	57.36830
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	45.416343	57.44004
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	58.447846	103.75519
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	58.447846	103.75519
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	58.447846	103.75519
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	58.505524	104.58295
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	58.505524	104.58295
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	58.505524	104.58295
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	58.104963	103.98620
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	58.104963	103.98620
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	58.505524	104.58295
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	58.104963	103.98620
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	12.431272	24.67337
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	12.431272	24.67337
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	12.431272	24.67337
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	12.437531	24.70640
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	12.437531	24.70640
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	12.437531	24.70640
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	12.381153	24.64956
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	12.381153	24.64956
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	12.437531	24.70640
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	12.381153	24.64956
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	7.859755	20.30118
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	7.859755	20.30118
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	7.491459	19.92273
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.491459	19.92273
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate	7.495314	20.16653
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.491459	19.92273
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	7.493420	20.00848
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7.498194	20.25851
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	7.498194	20.25851
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7.498194	20.25851
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	8.765211	17.01395
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	8.765211	17.01395
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate_star	8.765211	17.01395
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	8.764415	16.97657
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	8.764415	16.97657
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + phosphate + phosphate_star	8.765211	17.01395
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	8.764415	16.97657
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	8.753753	17.00246
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	8.753753	17.00246
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	8.753753	17.00246
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	9.263335	18.02855
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	9.263335	18.02855
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	9.254880	18.01929
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	9.254880	18.01929
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	9.263335	18.02855
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9.254880	18.01929
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	9.211878	17.96563
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	9.211878	17.96563
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	9.211878	17.96563
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	9.260356	18.02810
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	14.523356	50.84560
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	14.523356	50.84560
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	14.523356	50.84560
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	15.206478	51.45719
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	15.057040	51.27506
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	15.799675	52.16626
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	15.799675	52.16626
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	15.021630	51.23739
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	15.021630	51.23739
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	15.021630	51.23739
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.676750	17.20011
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.676750	17.20011
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.676750	17.20011
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	2.743804	17.26991
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	2.743804	17.26991
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	2.743804	17.26991
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.685292	17.09857
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.685292	17.09857
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.743804	17.26991
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.685292	17.09857
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	11.566026	30.09174
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	11.053991	28.88990
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	11.053991	28.88990
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	11.053991	28.88990
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	11.259835	29.51272
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	11.179380	29.35854
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	11.171466	29.34764
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	11.171466	29.34764
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	11.171466	29.34764
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	11.612879	29.87506
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.946074	16.00006
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.946074	16.00006
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.946074	16.00006
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	4.958329	16.08586
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	4.958329	16.08586
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	4.958329	16.08586
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.947374	15.85206
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.947374	15.85206
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.958329	16.08586
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.947374	15.85206
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	10.125877	23.32421
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	10.125877	23.32421
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	10.125877	23.32421
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	10.129621	23.75598
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10.111595	23.73781
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	10.131948	23.76536
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	10.131948	23.76536
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10.113136	23.74618
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	10.113136	23.74618
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10.113136	23.74618
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.032704	14.19754
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.029191	14.14079
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.029933	14.14307
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.029933	14.14307
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.029933	14.14307
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.074842	14.21927
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.074842	14.21927
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.074842	14.21927
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	4.078707	14.22919
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	4.080802	14.23323
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	12.457061	28.64518
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	12.457061	28.64518
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	12.457061	28.64518
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	12.599051	28.96615
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	12.572440	28.88737
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12.472599	28.72957
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	12.604673	28.98319
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	12.481815	28.75137
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	12.481815	28.75137
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12.481815	28.75137
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.238556	17.81100
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.196040	17.66864
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.208833	17.69065
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.208833	17.69065
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.208833	17.69065
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	5.176008	17.80358
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	5.176008	17.80358
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5.176008	17.80358
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	5.199488	17.87906
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	5.214948	17.90271
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	18.839297	36.63293
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	18.839297	36.63293
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate_star	18.839297	36.63293
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	18.814514	36.57644
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	18.814514	36.57644
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	18.814514	36.57644
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	18.833522	36.35189
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	18.833522	36.35189
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	18.833522	36.35189
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	18.806819	36.60744
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.403444	23.21796
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.403444	23.21796
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	4.409324	23.24225
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.403444	23.21796
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + oxygen + silicate + phosphate	4.516286	23.56936
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.403251	23.21007
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.420318	23.28521
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.408052	23.27063
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.408052	23.27063
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.408052	23.27063
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	14.789529	31.22122
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	14.789529	31.22122
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	14.789529	31.22122
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	14.881183	31.37861
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	14.881183	31.37861
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	14.881183	31.37861
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	14.416003	30.77735
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	14.416003	30.77735
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	14.881183	31.37861
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	14.416003	30.77735
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	4.289777	21.09257
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	4.289777	21.09257
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	4.289777	21.09257
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.289777	21.09257
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.838826	20.60482
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.838826	20.60482
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.838826	20.60482
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.276947	18.69295
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.276947	18.69295
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.276947	18.69295
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	11.962155	26.24116
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	11.962155	26.24116
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	11.962155	26.24116
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	12.248607	26.58154
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	12.248607	26.58154
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	12.248607	26.58154
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	12.224603	26.45709
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	12.224603	26.45709
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	12.248607	26.58154
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	12.224603	26.45709
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.804940	15.74731
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.804940	15.74731
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.804940	15.74731
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.743550	15.78237
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.697168	15.90661
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.702127	15.90483
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.702127	15.90483
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.702127	15.90483
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	3.791418	16.00180
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.400792	16.62539
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	10.437850	24.54040
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	10.437850	24.54040
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	10.437850	24.54040
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	10.261482	24.54491
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	10.261482	24.54491
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	10.261482	24.54491
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	10.219070	24.60524
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	10.383659	24.49379
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	10.383659	24.49379
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	10.383659	24.49379
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.536160	13.97401
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.472105	13.69118
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.452389	13.62626
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.455020	13.62670
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.455020	13.62670
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.455020	13.62670
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	3.635247	13.83326
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.582516	13.96618
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.582516	13.96618
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.582516	13.96618
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	7.767747	19.13373
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	7.767747	19.13373
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	7.767747	19.13373
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	7.767747	19.13373
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	7.760057	19.12367
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	7.760057	19.12367
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7.760057	19.12367
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	7.623861	18.98579
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	7.623861	18.98579
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	7.623861	18.98579
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.169038	10.78082
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.169038	10.78082
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.169038	10.78082
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.086020	10.69155
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.095344	10.76914
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.095260	10.78829
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.095260	10.78829
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.149398	10.77326
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.149398	10.77326
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.149398	10.77326
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	7.287148	20.95604
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.287148	20.95604
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.287148	20.95604
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	7.287370	20.96303
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	7.287370	20.96303
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	7.287370	20.96303
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	7.217541	20.83436
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	7.217541	20.83436
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	7.287370	20.96303
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	7.217541	20.83436
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	3.943098	11.18964
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	3.943098	11.18964
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	3.943098	11.18964
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.943098	11.18964
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.921896	11.09690
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.921896	11.09690
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.921896	11.09690
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.942354	11.15990
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.942354	11.15990
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.942354	11.15990
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	8.015736	19.92600
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	8.015736	19.92600
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	8.015736	19.92600
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	8.108705	20.02991
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	8.108705	20.02991
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	8.108705	20.02991
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	8.108521	19.86746
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	8.108521	19.86746
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	8.108705	20.02991
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	8.108521	19.86746
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	3.910384	12.01579
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	3.910384	12.01579
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	3.910384	12.01579
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.802041	11.90639
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.802041	11.90639
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	3.910384	12.01579
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.802041	11.90639
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.846981	11.86272
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.846981	11.86272
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.846981	11.86272
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	11.802433	24.17474
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	11.802433	24.17474
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	11.802433	24.17474
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	11.802433	24.17474
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	11.029995	23.06546
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	11.029995	23.06546
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	11.029995	23.06546
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	11.281888	22.83193
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	11.281888	22.83193
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	11.281888	22.83193
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	4.884453	16.68689
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	4.884453	16.68689
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	4.884453	16.68689
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.884453	16.68689
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.833113	15.86311
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.833113	15.86311
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.833113	15.86311
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.194771	15.47666
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.194771	15.47666
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.194771	15.47666
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	41.168396	209.07089
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	41.168396	209.07089
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	41.168396	209.07089
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	46.503342	224.88744
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	42.670909	212.03314
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	43.173426	213.12686
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	43.450607	213.73941
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	43.450607	213.73941
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	43.450607	213.73941
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	47.361785	223.69553
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	29.419141	70.58754
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	29.419141	70.58754
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	29.419141	70.58754
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	33.663739	80.16708
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	33.663739	80.16708
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	31.929268	74.60018
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	32.666794	75.84022
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	33.160402	76.61101
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	33.160402	76.61101
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	33.160402	76.61101
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	19.757133	94.21857
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	19.757133	94.21857
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	19.757133	94.21857
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	19.842844	94.08544
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	20.090550	94.49683
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	20.124647	94.57321
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	20.124647	94.57321
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	20.124647	94.57321
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	22.849515	98.62013
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	22.849515	98.62013
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	14.238272	33.99541
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	14.238272	33.99541
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	14.238272	33.99541
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	14.873852	34.71670
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	15.227560	35.31811
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	15.238096	35.36274
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	15.238096	35.36274
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	15.238096	35.36274
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	15.286381	36.90948
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	16.399585	39.24910
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	26.326392	69.20281
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	26.326392	69.20281
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	25.539696	67.91712
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	25.539696	67.91712
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + phosphate + phosphate_star	26.326392	69.20281
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	25.539696	67.91712
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	26.275511	69.15188
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	26.275511	69.15188
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	26.275511	69.15188
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	26.247481	69.12564
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	18.335932	44.75305
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	18.335932	44.75305
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	18.335932	44.75305
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	17.989670	43.52937
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	17.989670	43.52937
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	17.989670	43.52937
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	18.391420	44.63890
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	18.271177	44.12773
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	18.271177	44.12773
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	18.271177	44.12773
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	23.674052	93.01784
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	23.647027	92.89088
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	23.647027	92.89088
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	23.647027	92.89088
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	23.765542	92.86573
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	23.765542	92.86573
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	23.765542	92.86573
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	23.567336	92.80600
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	23.567336	92.80600
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	23.567336	92.80600
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	17.951145	41.71669
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	17.951145	41.71669
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	17.951145	41.71669
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	17.974388	41.75443
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	17.974388	41.75443
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	17.974388	41.75443
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	17.926255	41.49359
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	17.926255	41.49359
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	17.974388	41.75443
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	17.926255	41.49359
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	19.389260	57.42775
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	19.389260	57.42775
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	19.500657	57.57989
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	19.389260	57.42775
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	20.263835	59.23974
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	19.434470	57.49554
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	19.599830	57.83068
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	19.578733	57.79391
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	19.578733	57.79391
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	19.578733	57.79391
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	16.378457	35.76772
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	16.378457	35.76772
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	16.599810	36.10047
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	16.378457	35.76772
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	16.601859	36.71781
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	16.499306	35.93378
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	16.770999	36.37083
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	16.731791	36.31052
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	16.731791	36.31052
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	16.731791	36.31052
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	13.855794	37.21632
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	13.855794	37.21632
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	14.425850	39.48872
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	13.855794	37.21632
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	13.881106	37.26005
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	13.919841	37.34042
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	13.914380	37.33529
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	13.914380	37.33529
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	13.914380	37.33529
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	14.703059	38.12690
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	10.272717	24.12851
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	10.272717	24.12851
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	10.578566	25.00442
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	10.272717	24.12851
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	10.299281	24.18039
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	10.344685	24.26453
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	10.337560	24.25194
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	10.337560	24.25194
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	10.337560	24.25194
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	11.151408	25.85447
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	12.240970	34.15524
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	12.240970	34.15524
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	12.240970	34.15524
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	13.490337	35.74519
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	12.063025	33.91942
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	11.881276	33.74563
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	11.897009	33.76337
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	11.897009	33.76337
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	11.897009	33.76337
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	12.169171	34.39281
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	8.840561	21.08153
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	8.840561	21.08153
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	9.519485	22.52814
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	8.840561	21.08153
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	8.844316	20.90734
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8.852646	20.73392
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	8.851305	20.74831
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	8.851305	20.74831
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	8.851305	20.74831
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	9.280608	21.44978
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	10.013577	27.90417
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	10.013577	27.90417
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	10.013577	27.90417
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	9.918978	27.88708
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9.908847	27.88661
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	9.908847	27.88661
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9.908847	27.88661
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	9.763592	27.59617
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	9.763592	27.59617
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	9.763592	27.59617
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	8.356737	18.40950
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8.311796	18.23077
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	8.312553	18.22140
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	8.312553	18.22140
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	8.312553	18.22140
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	8.318480	18.44113
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	8.557263	18.32086
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	8.557263	18.32086
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	8.557263	18.32086
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate	8.627455	18.58842
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	9.070704	30.89638
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	9.070704	30.89638
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	9.070704	30.89638
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	9.070704	30.89638
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	9.042077	30.86755
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	9.042077	30.86755
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9.042077	30.86755
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	9.069625	30.81522
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	9.069625	30.81522
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	9.069625	30.81522
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	8.431195	17.47327
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	8.400037	17.43774
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8.356797	17.41223
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	8.358507	17.41478
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	8.358507	17.41478
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	8.358507	17.41478
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	8.392317	17.46552
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	8.395717	17.46534
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	8.395717	17.46534
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	8.395717	17.46534
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	8.167251	27.28638
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	8.167251	27.28638
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	8.167251	27.28638
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	8.339750	27.40805
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	8.339750	27.40805
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	8.339750	27.40805
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	8.286310	27.63721
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	8.247158	27.51791
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	8.247158	27.51791
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	8.247158	27.51791
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	9.592692	17.75994
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	9.592692	17.75994
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9.592692	17.75994
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	9.583105	17.86942
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	9.593041	18.09695
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9.589617	18.08572
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	9.589617	18.08572
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9.589617	18.08572
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	9.900725	18.14788
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	9.900725	18.14788
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	7.652727	26.04354
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	7.652727	26.04354
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	7.683853	26.09160
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7.652727	26.04354
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.743421	26.42585
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	7.677575	26.05635
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7.815414	26.26025
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	7.789135	26.21834
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	7.789135	26.21834
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7.789135	26.21834
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	8.012676	15.82864
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	8.012676	15.82864
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	8.011847	15.66457
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	8.011847	15.66457
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	8.143287	15.82714
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	8.011847	15.66457
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	7.985676	15.72910
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.985676	15.72910
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.985676	15.72910
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	8.132206	15.80978
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6.422735	22.72851
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	6.422735	22.72851
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.422735	22.72851
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.353825	22.09410
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.353825	22.09410
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.353825	22.09410
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.664177	22.55226
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.620262	22.43901
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.620262	22.43901
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.620262	22.43901
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	7.032574	13.45786
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	7.032574	13.45786
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	7.032574	13.45786
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	7.029463	13.45220
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	7.029463	13.45220
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	7.032574	13.45786
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7.029463	13.45220
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	7.024507	13.37833
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.024507	13.37833
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.024507	13.37833

# 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 <- lm_best %>% 
  select(basin, gamma_slab, model, eras)

lm_best <- full_join(lm_best, eras_era)
lm_all_target <- left_join(lm_best, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted, lm_all_fitted_wide, lm_all_fitted_wide_eras)

# Prepare model coefficients differences for mapping of cant
# this requires to subtract coefficients of adjacent era


lm_best_long <- lm_all_target %>%
  pivot_longer(`coeff_(Intercept)`:coeff_oxygen,
               names_to = "term",
               values_to = "estimate",
               names_prefix = "coeff_")

  
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))


lm_all_cant <- lm_best_long %>%
  pivot_wider(values_from = delta_coeff,
              names_from = term,
              names_prefix = "delta_coeff_",
              values_fill = 0)

3.3 Write files

lm_all_target %>%
  select(-rmse) %>%
  write_csv(paste(path_version_data,
                  "lm_all_target.csv",
                  sep = ""))

lm_all_cant %>%
  select(-rmse) %>%
  write_csv(paste(path_version_data,
                  "lm_all_cant.csv",
                  sep = ""))

3.4 Correlations RMSE between eras

3.4.1 All models

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)

rm(max_rmse)

3.4.2 Best models

max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

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

rm(max_rmse)

lm_all_stats <- lm_all %>% 
  group_by(basin, gamma_slab, era, model) %>% 
  summarise(n = n(),
            rmse = mean(rmse)) %>% 
  ungroup()

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

3.5 Predictor counts

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

lm_all_stats <- lm_all %>% 
  filter(term != "(Intercept)") %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n, names_from = term)


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

3.6 RMSE alternatives

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

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

# this code tests the rmse output of the ols_step_all_possible() function used
lm_1 <- GLODAP %>% 
  filter(basin == "Atlantic",
         gamma_slab == "(-Inf,26]",
         era == "new_era") %>% 
  lm(cstar ~ sal + tem + aou + oxygen + phosphate_star, data = .)

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

lm_1
lm_2

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

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.1

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.2      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3.9000 GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.0  collapse_1.4.2  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.2   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               scales_1.1.1            
[22] checkmate_2.0.0          goftest_1.2-2            digest_0.6.27           
[25] foreign_0.8-80           rmarkdown_2.5            rio_0.5.16              
[28] pkgconfig_2.0.3          htmltools_0.5.0          highr_0.8               
[31] dbplyr_1.4.4             rlang_0.4.9              readxl_1.3.1            
[34] rstudioapi_0.13          generics_0.0.2           jsonlite_1.7.1          
[37] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[40] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[43] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[46] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[49] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[52] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[55] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[58] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[61] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.0
[64] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[67] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[70] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[73] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[76] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1