eMLR - model fitting

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Last updated: 2020-12-17

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Rmd	7c8ace9	jens-daniel-mueller	2020-12-17	new MLR fitting routine, rmse corrected
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Rmd	3d5a3e2	jens-daniel-mueller	2020-12-16	new MLR fitting routine
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Rmd	d7992c4	jens-daniel-mueller	2020-12-15	eMLR target variable selection
html	953caf3	jens-daniel-mueller	2020-12-15	Build site.
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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	91b2b29	jens-daniel-mueller	2020-12-11	selectable basinmask, try 5
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Rmd	2842970	jens-daniel-mueller	2020-11-30	cleaned for eMLR part only
html	196be51	jens-daniel-mueller	2020-11-30	Build site.
Rmd	7a4b015	jens-daniel-mueller	2020-11-30	first rebuild on ETH server
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 Predictor combinations

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)

3 Apply predictor threshold

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

4 Fitting all models

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.

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[2]
        # print(i_predictors)
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        # fit model
        i_lm_fit <- lm(as.formula(i_lm),
                       data = GLODAP_basin_era_slab)
        
        
        # calculate root mean squared error
        i_rmse <- sqrt(
          c(crossprod(i_lm_fit$residuals)) / 
            length(i_lm_fit$residuals)
        )

        # calculate maximum residual
        i_resid_max <- max(abs(i_lm_fit$residuals))
        
        # calculate Akaike information criterion aic
        i_aic <- AIC(i_lm_fit)
        
        # collect model coefficients and diagnostics
        coefficients <- tidy(i_lm_fit)
        coefficients <- coefficients %>%
          mutate(
            basin = i_basin,
            era = i_era,
            gamma_slab = i_gamma_slab,
            model = i_lm,
            rmse = i_rmse,
            aic = i_aic,
            resid_max = i_resid_max,
            n_predictors = i_n_predictors
          )
        
        if (exists("lm_all_fitted")) {
          lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
        }
        
        if (!exists("lm_all_fitted")) {
          lm_all_fitted <- coefficients
        }
        
        # plot model diagnostics, if activated
        if (params_local$plot_all_figures == "y") {
          p_model <- ggnostic(
            i_lm_fit,
            columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
            title = paste(
              "| 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_era,
              i_basin,
              i_gamma_slab,
              i_predictors,
              "predictors.png",
              sep = "_"
            ),
            width = 14,
            height = 8
          )
          
          rm(p_model)
          
        }
        
      }
      
      
    }
  }
  
}

rm(i_lm_fit, coefficients, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm,
   i_basin, i_era, i_gamma_slab, i_predictors, lm_all)

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

Within each basin and slab, the 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	6.884738	12.943034
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	6.884738	12.943034
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.884738	12.943034
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.036374	13.075953
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.036374	13.075953
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.957753	12.984176
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.966549	12.986498
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.972745	12.982394
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.972745	12.982394
Atlantic	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.972745	12.982394
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6.612476	13.497214
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	6.612476	13.497214
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.612476	13.497214
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.709995	13.746369
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.709995	13.746369
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.625716	13.583470
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.627926	13.594475
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.629391	13.602136
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.629391	13.602136
Atlantic	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.629391	13.602136
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	5.019444	9.824288
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	5.019444	9.824288
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.019444	9.824288
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	5.020099	9.835284
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	5.020099	9.835284
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	5.020099	9.835284
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	5.015746	9.795000
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	5.015746	9.795000
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	5.020099	9.835284
Atlantic	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5.015746	9.795000
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.520946	11.540390
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.520946	11.540390
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.520946	11.540390
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	6.607845	11.627944
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	6.607845	11.627944
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	6.607845	11.627944
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.584734	11.600480
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.584734	11.600480
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	6.607845	11.627944
Atlantic	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.584734	11.600480
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.907829	7.665140
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.907829	7.665140
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.907829	7.665140
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	3.942370	7.750136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	3.942370	7.750136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	3.942370	7.750136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.932188	7.723536
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.932188	7.723536
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.942370	7.750136
Atlantic	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.932188	7.723536
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.775515	10.683344
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.775515	10.683344
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.775515	10.683344
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.830415	10.735457
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.830613	10.734048
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.830613	10.734048
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.830613	10.734048
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.827504	10.759692
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.827504	10.759692
Atlantic	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.827504	10.759692
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.522476	8.884767
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.522476	8.884767
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.522476	8.884767
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	4.523611	8.886388
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.518341	8.866405
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.501985	8.840830
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	4.523790	8.886928
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.502013	8.841113
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.502013	8.841113
Atlantic	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.502013	8.841113
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	5.502812	10.025288
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	5.502812	10.025288
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.502812	10.025288
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.535083	10.037068
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.533761	10.035775
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.533761	10.035775
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.533761	10.035775
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	5.477995	10.015601
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	5.477995	10.015601
Atlantic	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5.477995	10.015601
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.863979	10.045291
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.870529	10.050966
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.870529	10.050966
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.870529	10.050966
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.858262	10.088442
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.858262	10.088442
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.858262	10.088442
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate_star	4.895331	10.128420
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + oxygen + silicate + phosphate_star	4.901891	10.134677
Atlantic	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4.901891	10.134677
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.733722	11.597701
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.733752	11.604281
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.733752	11.604281
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.733752	11.604281
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.729637	11.587898
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.729637	11.587898
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.729637	11.587898
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	6.743951	11.639282
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	6.744117	11.646008
Atlantic	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6.744117	11.646008
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.207409	8.775565
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.207409	8.775565
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.207409	8.775565
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.202197	8.777175
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	4.210773	8.786126
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	4.210773	8.786126
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate_star	4.210773	8.786126
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.206554	8.778743
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.206554	8.778743
Atlantic	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.206554	8.778743
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.859488	11.066897
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.859488	11.066897
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.859488	11.066897
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate_star	6.860160	11.067747
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.810824	11.038396
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.817159	11.019355
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + phosphate_star	6.859493	11.070266
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.814316	11.020870
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.814316	11.020870
Atlantic	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.814316	11.020870
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.423385	8.731403
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.423385	8.731403
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.423385	8.731403
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.406781	8.726861
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.423068	8.778165
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.408129	8.747759
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.408129	8.747759
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.408129	8.747759
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.466790	8.779502
Atlantic	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.466790	8.779502
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.986362	10.409746
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.986362	10.409746
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.986362	10.409746
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.987609	10.394390
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.003661	10.426729
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.991564	10.399693
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.991564	10.399693
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.991564	10.399693
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	5.991569	10.458359
Atlantic	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5.991569	10.458359
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.781697	9.075106
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.781697	9.075106
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	4.781867	9.075283
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.781697	9.075106
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	4.791799	9.110956
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.781755	9.074107
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.785467	9.102058
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.781769	9.085612
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.781769	9.085612
Atlantic	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.781769	9.085612
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6.959063	11.740761
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	6.959063	11.740761
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.959063	11.740761
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.975944	11.757699
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.959831	11.745298
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.976799	11.758568
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.976799	11.758568
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.976799	11.758568
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.980410	11.777468
Atlantic	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.980410	11.777468
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.979124	8.660492
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.979124	8.660492
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.979124	8.660492
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate_star	5.009969	8.693008
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.980482	8.670932
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.978379	8.660337
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.979586	8.666743
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.979586	8.666743
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate	5.088588	8.902715
Atlantic	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.979586	8.666743
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.774488	10.753611
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.774488	10.753611
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.774488	10.753611
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate_star	5.967209	10.977178
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.789855	10.770337
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.780542	10.758922
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.790308	10.769894
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.790308	10.769894
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate	5.792578	10.881167
Atlantic	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.790308	10.769894
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.806077	9.345546
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.806077	9.345546
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.806077	9.345546
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate_star	5.806319	9.350727
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	5.852514	9.489403
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.835656	9.404943
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.806040	9.348122
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.822146	9.379350
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.822146	9.379350
Atlantic	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.822146	9.379350
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.926742	11.732819
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.926742	11.732819
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.926742	11.732819
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate_star	5.982454	11.788773
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.982768	11.871617
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.993380	11.829035
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.949361	11.755400
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.973889	11.796035
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.973889	11.796035
Atlantic	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.973889	11.796035
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.111703	9.623680
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.111703	9.623680
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.111703	9.623680
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.267824	9.843651
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	6.192773	9.855252
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	6.192773	9.855252
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	6.192773	9.855252
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.115126	9.749357
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.115126	9.749357
Atlantic	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.115126	9.749357
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	5.992082	12.103785
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	5.992082	12.103785
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.992082	12.103785
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	6.213939	12.406712
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	6.213939	12.406712
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	6.213939	12.406712
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	6.083195	12.198321
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	6.083195	12.198321
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	6.213939	12.406712
Atlantic	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	6.083195	12.198321
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.731073	10.207567
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	6.731073	10.207567
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	6.731073	10.207567
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	6.742697	10.229557
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.736571	10.197173
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	6.742192	10.230928
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.737870	10.197553
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.737870	10.197553
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.737870	10.197553
Atlantic	(28.1,28.15]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	6.739165	10.206685
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	7.645119	14.376192
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	7.645119	14.376192
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	7.645119	14.376192
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	7.648890	14.436926
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	7.648890	14.436926
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	7.648890	14.436926
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	7.622661	14.396230
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	7.622661	14.396230
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	7.648890	14.436926
Atlantic	(28.1,28.15]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	7.622661	14.396230
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.525801	7.024672
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.525801	7.024672
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.525801	7.024672
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	3.526688	7.029383
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	3.526688	7.029383
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	3.526688	7.029383
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.518686	7.021315
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.518686	7.021315
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.526688	7.029383
Atlantic	(28.15,28.2]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.518686	7.021315
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.803526	6.330766
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.803526	6.330766
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.737053	6.262854
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.737053	6.262854
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate	2.737757	6.297422
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.737053	6.262854
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.737411	6.275075
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.738283	6.310441
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.738283	6.310441
Atlantic	(28.15,28.2]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.738283	6.310441
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	2.960610	5.832671
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	2.960610	5.832671
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate_star	2.960610	5.832671
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.960475	5.826162
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.960475	5.826162
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.960610	5.832671
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.960475	5.826162
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.958674	5.830730
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.958674	5.830730
Atlantic	(28.2, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.958674	5.830730
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	3.043573	6.004183
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	3.043573	6.004183
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.042183	6.002659
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.042183	6.002659
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	3.043573	6.004183
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.042183	6.002659
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.035108	5.993782
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.035108	5.993782
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.035108	5.993782
Atlantic	(28.2, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.043083	6.004121
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.810952	9.837746
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.810952	9.837746
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.810952	9.837746
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.899548	9.920405
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.880340	9.898481
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	3.974880	10.005352
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	3.974880	10.005352
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.875775	9.893728
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.875775	9.893728
Indian	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.875775	9.893728
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	1.636078	5.447030
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	1.636078	5.447030
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.636078	5.447030
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	1.656443	5.467756
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	1.656443	5.467756
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	1.656443	5.467756
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	1.638686	5.435168
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	1.638686	5.435168
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	1.656443	5.467756
Indian	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.638686	5.435168
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.400886	7.705037
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.324754	7.548012
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.324754	7.548012
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.324754	7.548012
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.355568	7.627907
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.343558	7.607260
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.342374	7.605727
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.342374	7.605727
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.342374	7.605727
Indian	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	3.407767	7.681195
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.223977	5.548731
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.223977	5.548731
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.223977	5.548731
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.217951	5.561509
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.217772	5.560146
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.217772	5.560146
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.217772	5.560146
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.224269	5.526493
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.224269	5.526493
Indian	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.224269	5.526493
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.182118	6.815069
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.182118	6.815069
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.182118	6.815069
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	3.182707	6.874096
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.179873	6.871244
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	3.183072	6.875417
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	3.183072	6.875417
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.180116	6.872411
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.180116	6.872411
Indian	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.180116	6.872411
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.008159	5.196393
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.007284	5.187158
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.007469	5.187585
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.007469	5.187585
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.007469	5.187585
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.018624	5.203656
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.018624	5.203656
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.018624	5.203656
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	2.019581	5.205563
Indian	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	2.020099	5.206386
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.529456	7.552903
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.529456	7.552903
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.529456	7.552903
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate_star	3.549514	7.595142
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.545764	7.584939
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.531657	7.563650
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + phosphate	3.550306	7.597344
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.532961	7.566515
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.532961	7.566515
Indian	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.532961	7.566515
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.288789	5.834553
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.279482	5.811139
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.282287	5.815248
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.282287	5.815248
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.282287	5.815248
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.275084	5.828613
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.275084	5.828613
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.275084	5.828613
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate_star	2.280238	5.841077
Indian	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate_star	2.283626	5.845614
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	4.340426	8.558676
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	4.340426	8.558676
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate_star	4.340426	8.558676
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.337570	8.552060
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.337570	8.552060
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.337570	8.552060
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.339761	8.525256
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.339761	8.525256
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.339761	8.525256
Indian	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.336683	8.555761
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.098438	6.436008
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.098438	6.436008
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	2.099839	6.439531
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.098438	6.436008
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + oxygen + silicate + phosphate	2.125156	6.490139
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.098393	6.435075
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.102455	6.445828
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.099536	6.442643
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.099536	6.442643
Indian	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.099536	6.442643
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.845716	7.899318
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.845716	7.899318
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.845716	7.899318
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	3.857614	7.919316
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	3.857614	7.919316
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	3.857614	7.919316
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.796841	7.841758
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.796841	7.841758
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.857614	7.919316
Indian	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.796841	7.841758
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1.959292	6.053922
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	1.959292	6.053922
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.959292	6.053922
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.964144	6.121203
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1.957986	6.163594
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1.957986	6.163594
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.957986	6.163594
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.068078	5.864919
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.068078	5.864919
Indian	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.068078	5.864919
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.458635	7.237392
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.458635	7.237392
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.458635	7.237392
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	3.499801	7.285687
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	3.499801	7.285687
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	3.499801	7.285687
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.496370	7.268967
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.496370	7.268967
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	3.499801	7.285687
Indian	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.496370	7.268967
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1.950626	5.406398
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	1.950626	5.406398
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.950626	5.406398
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.934826	5.404526
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.922802	5.417004
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1.924091	5.417328
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1.924091	5.417328
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.924091	5.417328
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	1.947156	5.441491
Indian	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.097806	5.594176
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.230766	6.986103
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.230766	6.986103
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.230766	6.986103
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.203355	6.982697
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.203355	6.982697
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.203355	6.982697
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.196728	6.989638
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.222368	6.978714
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.222368	6.978714
Indian	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.222368	6.978714
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1.880468	5.111234
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	1.880468	5.111234
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.880468	5.111234
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.863358	5.060086
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.858061	5.047711
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1.858768	5.048075
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1.858768	5.048075
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.858768	5.048075
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	1.906632	5.100066
Indian	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	1.892754	5.115122
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	2.787068	6.158415
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	2.787068	6.158415
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	2.787068	6.158415
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.785688	6.156684
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.785688	6.156684
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.785688	6.156684
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.757813	6.157195
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.761134	6.131880
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.761134	6.131880
Indian	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.761134	6.131880
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	1.780179	4.539125
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	1.780179	4.539125
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	1.756707	4.514520
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1.759359	4.529521
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1.759335	4.532967
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1.759335	4.532967
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1.759335	4.532967
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	1.774654	4.535788
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	1.774654	4.535788
Indian	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.774654	4.535788
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.699472	6.396618
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.699472	6.396618
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.699472	6.396618
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	2.699513	6.397574
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	2.699513	6.397574
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	2.699513	6.397574
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.686548	6.376646
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.686548	6.376646
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.699513	6.397574
Indian	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.686548	6.376646
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	1.985723	4.677664
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	1.985723	4.677664
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	1.985723	4.677664
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1.985723	4.677664
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1.980378	4.658997
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	1.980378	4.658997
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.980378	4.658997
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	1.985536	4.672084
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	1.985536	4.672084
Indian	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1.985536	4.672084
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.831208	6.282333
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.831208	6.282333
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.831208	6.282333
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate	2.847579	6.300289
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	2.847579	6.300289
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + phosphate_star	2.847579	6.300289
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.847547	6.276677
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.847547	6.276677
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + phosphate + phosphate_star	2.847579	6.300289
Indian	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.847547	6.276677
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	1.977469	4.824469
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	1.977469	4.824469
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	1.977469	4.824469
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	1.949882	4.796697
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	1.949882	4.796697
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	1.977469	4.824469
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1.949882	4.796697
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	1.961372	4.792580
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	1.961372	4.792580
Indian	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1.961372	4.792580
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	3.435467	6.952896
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	3.435467	6.952896
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	3.435467	6.952896
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.435467	6.952896
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.321144	6.790361
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.321144	6.790361
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.321144	6.790361
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.358852	6.757388
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.358852	6.757388
Indian	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.358852	6.757388
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	2.210080	5.645547
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	2.210080	5.645547
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	2.210080	5.645547
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2.210080	5.645547
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.198434	5.519578
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.198434	5.519578
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.198434	5.519578
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.048114	5.406966
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.048114	5.406966
Indian	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.048114	5.406966
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	6.416260	19.373980
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	6.416260	19.373980
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6.416260	19.373980
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	6.819336	20.175387
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	6.532297	19.546222
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6.570649	19.607268
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	6.591708	19.641183
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	6.591708	19.641183
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6.591708	19.641183
Pacific	(-Inf,26]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	6.881990	20.161062
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.423941	11.840202
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.423941	11.840202
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.423941	11.840202
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	5.802046	12.621382
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.802046	12.621382
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.650599	12.182896
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5.715487	12.286136
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5.758507	12.350214
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5.758507	12.350214
Pacific	(-Inf,26]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5.758507	12.350214
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.444900	13.074004
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.444900	13.074004
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.444900	13.074004
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.454531	13.070945
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.482248	13.108156
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.486050	13.114408
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.486050	13.114408
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.486050	13.114408
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.780117	13.484749
Pacific	(26,26.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.780117	13.484749
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.773363	8.218263
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.773363	8.218263
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.773363	8.218263
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.856663	8.311194
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.902251	8.384499
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.903600	8.389651
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.903600	8.389651
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.903600	8.389651
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	3.909780	8.559844
Pacific	(26,26.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.049640	8.829757
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate	5.130925	11.678934
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	5.130925	11.678934
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	5.053681	11.563476
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	5.053681	11.563476
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + phosphate + phosphate_star	5.130925	11.678934
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5.053681	11.563476
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	5.125964	11.673969
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	5.125964	11.673969
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5.125964	11.673969
Pacific	(26.5,26.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	5.123230	11.671371
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate	4.282048	9.421806
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	4.282048	9.421806
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ aou + oxygen + silicate + phosphate_star	4.282048	9.421806
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.241423	9.295105
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.241423	9.295105
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.241423	9.295105
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.288522	9.411751
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.274480	9.359414
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.274480	9.359414
Pacific	(26.5,26.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.274480	9.359414
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4.865599	13.192890
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.862821	13.184110
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.862821	13.184110
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.862821	13.184110
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.874992	13.187644
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.874992	13.187644
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.874992	13.187644
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.854620	13.175598
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.854620	13.175598
Pacific	(26.75,27]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.854620	13.175598
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	4.236879	9.111871
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	4.236879	9.111871
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4.236879	9.111871
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate	4.239621	9.116100
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate + phosphate_star	4.239621	9.116100
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + phosphate_star	4.239621	9.116100
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	4.233941	9.088561
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	4.233941	9.088561
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + phosphate + phosphate_star	4.239621	9.116100
Pacific	(26.75,27]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4.233941	9.088561
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.403324	10.570859
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.403324	10.570859
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	4.415955	10.586792
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.403324	10.570859
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + oxygen + silicate + phosphate_star	4.501537	10.744605
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.408454	10.577820
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.427169	10.610280
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.424786	10.606629
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.424786	10.606629
Pacific	(27,27.25]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.424786	10.606629
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	4.047031	8.450354
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	4.047031	8.450354
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	4.074286	8.490241
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4.047031	8.450354
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	4.061934	8.470388
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4.095241	8.522410
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	4.090451	8.515237
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	4.090451	8.515237
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4.090451	8.515237
Pacific	(27,27.25]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.970203	8.554913
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.722337	8.555609
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.722337	8.555609
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	3.798138	8.804421
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.722337	8.555609
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.725736	8.560914
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.730930	8.570411
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.730198	8.569714
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.730198	8.569714
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.730198	8.569714
Pacific	(27.25,27.5]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	3.834457	8.674275
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.205108	6.927445
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.205108	6.927445
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	3.252471	7.050609
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.205108	6.927445
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.209249	6.934985
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.216315	6.947246
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.215207	6.945406
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.215207	6.945406
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.215207	6.945406
Pacific	(27.25,27.5]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	3.339372	7.173829
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.498710	8.179978
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.498710	8.179978
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.498710	8.179978
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.672919	8.390424
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.473187	8.148269
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.446923	8.122856
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.449204	8.125352
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.449204	8.125352
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.449204	8.125352
Pacific	(27.5,27.75]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate_star	3.488434	8.202629
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.973308	6.472018
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.973308	6.472018
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	3.085366	6.692118
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.973308	6.472018
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.973940	6.447126
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.975340	6.422262
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.975114	6.424318
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.975114	6.424318
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.975114	6.424318
Pacific	(27.5,27.75]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	3.046409	6.534843
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	3.164424	7.394151
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	3.164424	7.394151
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	3.164424	7.394151
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.149441	7.388321
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.147832	7.387851
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.147832	7.387851
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.147832	7.387851
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.124675	7.347538
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.124675	7.347538
Pacific	(27.75,27.85]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.124675	7.347538
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.890802	6.061412
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.883018	6.032459
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.883150	6.030982
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.883150	6.030982
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.883150	6.030982
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	2.884178	6.065789
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.925280	6.049955
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.925280	6.049955
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.925280	6.049955
Pacific	(27.75,27.85]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + oxygen + silicate + phosphate	2.937253	6.093353
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate	3.011761	7.683557
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate + phosphate_star	3.011761	7.683557
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + oxygen + silicate + phosphate_star	3.011761	7.683557
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3.011761	7.683557
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.007005	7.678779
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.007005	7.678779
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.007005	7.678779
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.011582	7.674799
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	3.011582	7.674799
Pacific	(27.85,27.95]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.011582	7.674799
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.903652	5.910656
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.898282	5.904559
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.890813	5.900037
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.891108	5.900472
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.891108	5.900472
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.891108	5.900472
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate_star	2.896950	5.909126
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.897537	5.909118
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.897537	5.909118
Pacific	(27.85,27.95]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.897537	5.909118
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.857840	7.230382
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.857840	7.230382
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.857840	7.230382
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.887863	7.254589
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.887863	7.254589
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.887863	7.254589
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.878595	7.277561
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.871787	7.261633
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.871787	7.261633
Pacific	(27.95,28.05]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.871787	7.261633
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	3.097207	5.955047
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	3.097207	5.955047
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3.097207	5.955047
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	3.095659	5.974254
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3.097263	6.013410
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3.096711	6.011518
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3.096711	6.011518
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3.096711	6.011518
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	3.146542	6.018328
Pacific	(27.95,28.05]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3.146542	6.018328
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.766356	7.054807
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.766356	7.054807
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate	2.771976	7.062402
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.766356	7.054807
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.782700	7.105018
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.770844	7.057892
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2.795606	7.090352
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2.790902	7.083827
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2.790902	7.083827
Pacific	(28.05,28.1]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2.790902	7.083827
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	2.830667	5.626372
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	2.830667	5.626372
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.830521	5.596877
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.830521	5.596877
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate	2.853645	5.625621
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.830521	5.596877
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.825894	5.608594
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.825894	5.608594
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.825894	5.608594
Pacific	(28.05,28.1]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.851702	5.622546
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.534312	6.572353
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.534312	6.572353
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.534312	6.572353
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.520679	6.488081
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.520679	6.488081
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.520679	6.488081
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ sal + temp + aou + silicate + phosphate	2.581507	6.567493
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate	2.572987	6.550266
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star	2.572987	6.550266
Pacific	(28.1, Inf]	2000-2012	1982-1999 –> 2000-2012	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2.572987	6.550266
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate	2.651900	5.186714
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate + phosphate_star	2.651900	5.186714
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + phosphate_star	2.651900	5.186714
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate	2.651313	5.185625
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star	2.651313	5.185625
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + phosphate + phosphate_star	2.651900	5.186714
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2.651313	5.185625
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate	2.650379	5.171058
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + oxygen + phosphate_star	2.650379	5.171058
Pacific	(28.1, Inf]	2013-2019	2000-2012 –> 2013-2019	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2.650379	5.171058

5.3 Target variable coefficients

# 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_best_target <- left_join(lm_best, lm_all_fitted_wide)

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

5.4 Cant coeffcients

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

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

5.5 Write files

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

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

5.6 RMSE vs predictors

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

5.6.1 All models

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

5.6.2 Best models

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

5.7 RMSE correlation between eras

5.7.1 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)

5.7.2 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)

5.8 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")
  )

5.9 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)

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               labeling_0.4.2          
[22] scales_1.1.1             checkmate_2.0.0          goftest_1.2-2           
[25] digest_0.6.27            foreign_0.8-80           rmarkdown_2.5           
[28] rio_0.5.16               pkgconfig_2.0.3          htmltools_0.5.0         
[31] highr_0.8                dbplyr_1.4.4             rlang_0.4.9             
[34] readxl_1.3.1             rstudioapi_0.13          farver_2.0.3            
[37] generics_0.0.2           jsonlite_1.7.1           zip_2.1.1               
[40] car_3.0-10               magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_0.2.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               carData_3.0-4           
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.0 data.table_1.13.2       
[67] modelr_0.1.8             vctrs_0.3.5              httpuv_1.5.4            
[70] cellranger_1.1.0         gtable_0.3.0             reshape_0.8.8           
[73] assertthat_0.2.1         xfun_0.18                openxlsx_4.2.3          
[76] RcppEigen_0.3.3.7.0      later_1.1.0.1            viridisLite_0.3.0       
[79] ellipsis_0.3.1           here_0.1