eMLR - model fitting

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Last updated: 2021-03-09

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Knit directory: emlr_mod_v_XXX/

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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

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


# remove temp sal predictor combination
# lm_all <- lm_all %>%
  # filter(!(
  #   str_detect(lm_coeff, "temp") &
  #     str_detect(lm_coeff, "phosphate_star")
  # )) %>%
  # mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  # filter(!(str_detect(lm_coeff_filter, "nitrate") &
  #            str_detect(lm_coeff_filter, "phosphate")
  # )) %>%
  # filter(!(
  #   str_detect(lm_coeff_filter, "temp") &
  #     str_detect(lm_coeff_filter, "sal")
  # )) %>%
  # filter(!(
  #   str_detect(lm_coeff_filter, "oxygen") &
  #     str_detect(lm_coeff_filter, "aou")
  # )) %>%
  # select(-lm_coeff_filter)

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

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

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 112

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(na_predictor == FALSE)

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

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

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

5.3 RMSE tables

5.3.1 per model

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

basin	gamma_slab	model	nr_obs	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	158	1.0492038	475.562558	4.3578441	1982-1999 –> 2000-2012	2.3855522	1198.45637
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	158	1.0480832	477.224868	4.2990206	1982-1999 –> 2000-2012	2.3837757	1201.91446
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate	158	1.0492038	475.562558	4.3578441	1982-1999 –> 2000-2012	2.3855522	1198.45637
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	158	1.0492038	475.562558	4.3578441	1982-1999 –> 2000-2012	2.3855522	1198.45637
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate_star	158	1.0492038	475.562558	4.3578441	1982-1999 –> 2000-2012	2.3855522	1198.45637
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	158	1.0480832	477.224868	4.2990206	1982-1999 –> 2000-2012	2.3837757	1201.91446
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	158	1.0480832	477.224868	4.2990206	1982-1999 –> 2000-2012	2.3837757	1201.91446
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	158	1.0447877	476.229718	3.9913380	1982-1999 –> 2000-2012	2.3809752	1201.07344
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	158	1.0447877	476.229718	3.9913380	1982-1999 –> 2000-2012	2.3809752	1201.07344
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	158	1.0447877	476.229718	3.9913380	1982-1999 –> 2000-2012	2.3809752	1201.07344
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	72	1.1936365	243.815800	3.2379740	2000-2012 –> 2013-2019	2.2417197	721.04067
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	72	1.1936365	243.815800	3.2379740	2000-2012 –> 2013-2019	2.2417197	721.04067
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	72	1.1936365	243.815800	3.2379740	2000-2012 –> 2013-2019	2.2417197	721.04067
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate	72	1.1990801	244.471022	3.3796520	2000-2012 –> 2013-2019	2.2529029	723.42168
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	72	1.2012446	244.730723	3.4250804	2000-2012 –> 2013-2019	2.2566374	724.15181
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	72	1.2718853	252.959191	3.5478791	2000-2012 –> 2013-2019	2.3166730	729.18891
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	72	1.2718853	252.959191	3.5478791	2000-2012 –> 2013-2019	2.3166730	729.18891
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	72	1.2024324	244.873045	3.4452953	2000-2012 –> 2013-2019	2.2595421	724.80780
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	72	1.2024324	244.873045	3.4452953	2000-2012 –> 2013-2019	2.2595421	724.80780
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	72	1.2024324	244.873045	3.4452953	2000-2012 –> 2013-2019	2.2595421	724.80780
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1040	3.5443539	5597.332405	13.4662233	1982-1999 –> 2000-2012	6.9995324	13651.58188
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1040	3.5443539	5597.332405	13.4662233	1982-1999 –> 2000-2012	6.9995324	13651.58188
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1040	3.5443539	5597.332405	13.4662233	1982-1999 –> 2000-2012	6.9995324	13651.58188
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1040	3.5976862	5628.397229	14.0846702	1982-1999 –> 2000-2012	7.1389932	13757.10292
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1040	3.6046520	5632.420615	14.1850927	1982-1999 –> 2000-2012	7.1565388	13770.14714
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1040	3.9918383	5844.636020	18.2002314	1982-1999 –> 2000-2012	7.9702163	14325.26966
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1040	3.6059532	5633.171340	14.2183254	1982-1999 –> 2000-2012	7.1620346	13774.46693
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1040	3.6059532	5633.171340	14.2183254	1982-1999 –> 2000-2012	7.1620346	13774.46693
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1040	3.6059532	5633.171340	14.2183254	1982-1999 –> 2000-2012	7.1620346	13774.46693
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	1040	3.6722318	5669.055330	16.3679712	1982-1999 –> 2000-2012	7.5024485	14032.91968
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	562	3.6054876	3050.368613	11.1243922	2000-2012 –> 2013-2019	7.1498416	8647.70102
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	562	3.6054876	3050.368613	11.1243922	2000-2012 –> 2013-2019	7.1498416	8647.70102
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	562	3.6054876	3050.368613	11.1243922	2000-2012 –> 2013-2019	7.1498416	8647.70102
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	562	3.6368457	3060.102114	10.4768916	2000-2012 –> 2013-2019	7.2345318	8688.49934
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	562	3.6408932	3061.352359	10.4893496	2000-2012 –> 2013-2019	7.2455452	8693.77297
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	562	3.6406124	3061.265647	10.4898621	2000-2012 –> 2013-2019	7.2465656	8694.43699
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	562	3.6406124	3061.265647	10.4898621	2000-2012 –> 2013-2019	7.2465656	8694.43699
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate	562	3.8134105	3111.387826	11.1352167	2000-2012 –> 2013-2019	7.7899991	8946.06254
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	562	3.6406124	3061.265647	10.4898621	2000-2012 –> 2013-2019	7.2465656	8694.43699
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	562	3.6468894	3061.201945	10.4063646	2000-2012 –> 2013-2019	7.3191212	8730.25727
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1360	3.2843587	7108.059025	10.5247223	1982-1999 –> 2000-2012	6.3355501	16433.70428
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1360	3.2843587	7108.059025	10.5247223	1982-1999 –> 2000-2012	6.3355501	16433.70428
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1360	3.2843587	7108.059025	10.5247223	1982-1999 –> 2000-2012	6.3355501	16433.70428
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1360	3.2964180	7118.027900	10.5109060	1982-1999 –> 2000-2012	6.3652079	16464.80301
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1360	3.3125149	7131.277720	10.5523314	1982-1999 –> 2000-2012	6.4028241	16503.72606
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1360	3.3168229	7134.812862	10.5593163	1982-1999 –> 2000-2012	6.4138058	16515.18682
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1360	3.3168229	7134.812862	10.5593163	1982-1999 –> 2000-2012	6.4138058	16515.18682
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1360	3.2415884	7072.405398	10.0491820	1982-1999 –> 2000-2012	6.2239552	16314.22857
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1360	3.2415884	7072.405398	10.0491820	1982-1999 –> 2000-2012	6.2239552	16314.22857
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1360	3.2415884	7072.405398	10.0491820	1982-1999 –> 2000-2012	6.2239552	16314.22857
Atlantic	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	646	3.3363780	3403.981011	10.7144118	2000-2012 –> 2013-2019	6.6207366	10512.04004
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	646	3.3363780	3403.981011	10.7144118	2000-2012 –> 2013-2019	6.6207366	10512.04004
Atlantic	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	646	3.3363780	3403.981011	10.7144118	2000-2012 –> 2013-2019	6.6207366	10512.04004
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	646	3.3445545	3407.143458	10.7277964	2000-2012 –> 2013-2019	6.6409725	10525.17136
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	646	3.3594523	3412.885718	10.8878591	2000-2012 –> 2013-2019	6.6719672	10544.16344
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	646	3.3631670	3414.313520	10.9361612	2000-2012 –> 2013-2019	6.6799899	10549.12638
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	646	3.3631670	3414.313520	10.9361612	2000-2012 –> 2013-2019	6.6799899	10549.12638
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	646	3.3285183	3400.933773	11.1260032	2000-2012 –> 2013-2019	6.5701066	10473.33917
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	646	3.3285183	3400.933773	11.1260032	2000-2012 –> 2013-2019	6.5701066	10473.33917
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	646	3.3285183	3400.933773	11.1260032	2000-2012 –> 2013-2019	6.5701066	10473.33917
Atlantic	(26.75,27]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2134	2.1608919	9356.613416	15.2322922	1982-1999 –> 2000-2012	3.8655083	20016.34118
Atlantic	(26.75,27]	cstar_tref ~ oxygen + aou + silicate + phosphate	2134	2.1608919	9356.613416	15.2322922	1982-1999 –> 2000-2012	3.8655083	20016.34118
Atlantic	(26.75,27]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	2134	2.1608919	9356.613416	15.2322922	1982-1999 –> 2000-2012	3.8655083	20016.34118
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2134	2.0150942	9060.471809	14.1929877	1982-1999 –> 2000-2012	3.6685116	19555.87536
Atlantic	(26.75,27]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2134	2.0150942	9060.471809	14.1929877	1982-1999 –> 2000-2012	3.6685116	19555.87536
Atlantic	(26.75,27]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2134	2.0150942	9060.471809	14.1929877	1982-1999 –> 2000-2012	3.6685116	19555.87536
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2134	2.0721249	9179.586005	14.1852345	1982-1999 –> 2000-2012	3.7872525	19874.84163
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2134	2.1557967	9348.538081	19.2601021	1982-1999 –> 2000-2012	3.6479228	19284.13041
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2134	2.1557967	9348.538081	19.2601021	1982-1999 –> 2000-2012	3.6479228	19284.13041
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2134	2.1557967	9348.538081	19.2601021	1982-1999 –> 2000-2012	3.6479228	19284.13041
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate	1121	2.6063943	5341.023922	24.8434412	2000-2012 –> 2013-2019	4.7269587	14617.23359
Atlantic	(26.75,27]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1121	2.5950428	5333.238180	25.4741707	2000-2012 –> 2013-2019	4.6101370	14393.70999
Atlantic	(26.75,27]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1121	2.5950428	5333.238180	25.4741707	2000-2012 –> 2013-2019	4.6101370	14393.70999
Atlantic	(26.75,27]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1121	2.5950428	5333.238180	25.4741707	2000-2012 –> 2013-2019	4.6101370	14393.70999
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1121	2.6063657	5342.999353	24.8816347	2000-2012 –> 2013-2019	4.6784906	14522.58536
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1121	2.6436309	5374.827940	25.0893644	2000-2012 –> 2013-2019	4.7943733	14713.34782
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1121	2.6552629	5384.671078	25.1149369	2000-2012 –> 2013-2019	4.8356436	14781.60466
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1121	2.3110503	5073.388314	22.0043753	2000-2012 –> 2013-2019	4.4668470	14421.92640
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1121	2.3110503	5073.388314	22.0043753	2000-2012 –> 2013-2019	4.4668470	14421.92640
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1121	2.3110503	5073.388314	22.0043753	2000-2012 –> 2013-2019	4.4668470	14421.92640
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	1717	2.0250912	7307.715917	9.3807341	1982-1999 –> 2000-2012	3.7447144	16116.95820
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1717	2.0072484	7279.325305	9.7017253	1982-1999 –> 2000-2012	3.6183821	15798.22804
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1717	2.0072484	7279.325305	9.7017253	1982-1999 –> 2000-2012	3.6183821	15798.22804
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1717	2.0072484	7279.325305	9.7017253	1982-1999 –> 2000-2012	3.6183821	15798.22804
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1717	2.3210685	7778.157816	14.1099732	1982-1999 –> 2000-2012	4.1730415	16922.02063
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1717	2.0148260	7292.264615	9.3883458	1982-1999 –> 2000-2012	3.6145946	15779.41047
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1717	2.0359536	7328.086282	8.6521412	1982-1999 –> 2000-2012	3.6652699	15897.33254
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1717	2.0406890	7336.064154	8.5013493	1982-1999 –> 2000-2012	3.6834472	15942.16805
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1717	2.0406890	7336.064154	8.5013493	1982-1999 –> 2000-2012	3.6834472	15942.16805
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1717	2.0406890	7336.064154	8.5013493	1982-1999 –> 2000-2012	3.6834472	15942.16805
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate	982	2.4264509	4539.743124	13.9625358	2000-2012 –> 2013-2019	4.4515421	11847.45904
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	982	2.4198641	4536.404447	14.2305742	2000-2012 –> 2013-2019	4.4271125	11815.72975
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + silicate + phosphate_star	982	2.4537027	4561.678099	14.9835525	2000-2012 –> 2013-2019	4.6724715	12183.04779
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	982	2.4198641	4536.404447	14.2305742	2000-2012 –> 2013-2019	4.4271125	11815.72975
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	982	2.4198641	4536.404447	14.2305742	2000-2012 –> 2013-2019	4.4271125	11815.72975
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate	982	2.4120191	4530.026992	14.3657953	2000-2012 –> 2013-2019	4.4268451	11822.29161
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	982	2.4324626	4546.603049	14.3792540	2000-2012 –> 2013-2019	4.4684162	11874.68933
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	982	2.4360162	4549.470195	14.3742943	2000-2012 –> 2013-2019	4.4767052	11885.53435
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	982	2.4360162	4549.470195	14.3742943	2000-2012 –> 2013-2019	4.4767052	11885.53435
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	982	2.4360162	4549.470195	14.3742943	2000-2012 –> 2013-2019	4.4767052	11885.53435
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1621	2.8128853	7965.109998	20.4458923	1982-1999 –> 2000-2012	5.1118884	18103.97065
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1621	2.8109649	7964.895905	20.2408438	1982-1999 –> 2000-2012	5.1068355	18099.62362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + phosphate	1621	2.8128853	7965.109998	20.4458923	1982-1999 –> 2000-2012	5.1118884	18103.97065
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	1621	2.8128853	7965.109998	20.4458923	1982-1999 –> 2000-2012	5.1118884	18103.97065
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + phosphate_star	1621	2.8128853	7965.109998	20.4458923	1982-1999 –> 2000-2012	5.1118884	18103.97065
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1621	2.8109649	7964.895905	20.2408438	1982-1999 –> 2000-2012	5.1068355	18099.62362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1621	2.8109649	7964.895905	20.2408438	1982-1999 –> 2000-2012	5.1068355	18099.62362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1621	2.8012018	7953.616078	19.8213460	1982-1999 –> 2000-2012	5.0696837	18034.36215
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1621	2.8012018	7953.616078	19.8213460	1982-1999 –> 2000-2012	5.0696837	18034.36215
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1621	2.8012018	7953.616078	19.8213460	1982-1999 –> 2000-2012	5.0696837	18034.36215
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate	904	3.6374343	4912.072547	22.7247860	2000-2012 –> 2013-2019	6.4620338	12890.65569
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	904	3.6351396	4912.931565	22.4385896	2000-2012 –> 2013-2019	6.4461045	12877.82747
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + phosphate	904	3.6637613	4925.111334	23.1796634	2000-2012 –> 2013-2019	6.4766466	12890.22133
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + phosphate_star	904	3.6637613	4925.111334	23.1796634	2000-2012 –> 2013-2019	6.4766466	12890.22133
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	904	3.6351396	4912.931565	22.4385896	2000-2012 –> 2013-2019	6.4461045	12877.82747
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	904	3.6351396	4912.931565	22.4385896	2000-2012 –> 2013-2019	6.4461045	12877.82747
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	904	3.6120853	4901.428601	21.4215855	2000-2012 –> 2013-2019	6.4132871	12855.04468
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	904	3.6373162	4914.013826	22.7657688	2000-2012 –> 2013-2019	6.4543207	12885.86790
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	904	3.6120853	4901.428601	21.4215855	2000-2012 –> 2013-2019	6.4132871	12855.04468
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	904	3.6120853	4901.428601	21.4215855	2000-2012 –> 2013-2019	6.4132871	12855.04468
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2079	2.3075871	9390.876085	16.0914994	1982-1999 –> 2000-2012	4.4239676	21510.25739
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2079	2.3539368	9473.565176	17.1082120	1982-1999 –> 2000-2012	4.4979050	21665.23929
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2079	2.3075871	9390.876085	16.0914994	1982-1999 –> 2000-2012	4.4239676	21510.25739
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2079	2.3075871	9390.876085	16.0914994	1982-1999 –> 2000-2012	4.4239676	21510.25739
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + phosphate	2079	2.3560092	9475.224293	16.7638042	1982-1999 –> 2000-2012	4.5113248	21694.36440
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + phosphate + phosphate_star	2079	2.3560092	9475.224293	16.7638042	1982-1999 –> 2000-2012	4.5113248	21694.36440
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + phosphate_star	2079	2.3560092	9475.224293	16.7638042	1982-1999 –> 2000-2012	4.5113248	21694.36440
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2079	2.3546463	9474.818186	17.1405940	1982-1999 –> 2000-2012	4.4968909	21662.00303
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2079	2.3546463	9474.818186	17.1405940	1982-1999 –> 2000-2012	4.4968909	21662.00303
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2079	2.3546463	9474.818186	17.1405940	1982-1999 –> 2000-2012	4.4968909	21662.00303
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1115	2.5792371	5291.143752	17.7062520	2000-2012 –> 2013-2019	4.8868241	14682.01984
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate_star	1115	2.6930488	5385.435813	18.3772087	2000-2012 –> 2013-2019	5.0483685	14859.44294
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1115	2.6676325	5366.289734	19.9843851	2000-2012 –> 2013-2019	5.0215694	14839.85491
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1115	2.5792371	5291.143752	17.7062520	2000-2012 –> 2013-2019	4.8868241	14682.01984
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1115	2.5792371	5291.143752	17.7062520	2000-2012 –> 2013-2019	4.8868241	14682.01984
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + phosphate	1115	2.6969132	5388.633484	18.4447021	2000-2012 –> 2013-2019	5.0529225	14863.85778
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1115	2.6715610	5369.571260	20.0496977	2000-2012 –> 2013-2019	5.0262072	14844.38945
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1115	2.6715610	5369.571260	20.0496977	2000-2012 –> 2013-2019	5.0262072	14844.38945
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + phosphate + phosphate_star	1115	2.6969132	5388.633484	18.4447021	2000-2012 –> 2013-2019	5.0529225	14863.85778
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1115	2.6715610	5369.571260	20.0496977	2000-2012 –> 2013-2019	5.0262072	14844.38945
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	722	1.6267617	2765.585146	14.5734851	1982-1999 –> 2000-2012	3.2965550	6480.60424
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	722	1.6267617	2765.585146	14.5734851	1982-1999 –> 2000-2012	3.2965550	6480.60424
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	722	1.6267617	2765.585146	14.5734851	1982-1999 –> 2000-2012	3.2965550	6480.60424
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	722	1.5992193	2740.927704	12.1339144	1982-1999 –> 2000-2012	3.2778246	6466.03163
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	722	1.6360802	2773.833134	14.5982784	1982-1999 –> 2000-2012	3.3135078	6497.59228
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	722	1.6517965	2787.638078	14.7352390	1982-1999 –> 2000-2012	3.3409598	6524.75540
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	722	1.5992193	2740.927704	12.1339144	1982-1999 –> 2000-2012	3.2778246	6466.03163
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	722	1.5992193	2740.927704	12.1339144	1982-1999 –> 2000-2012	3.2778246	6466.03163
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	722	1.6535346	2789.156784	14.7399711	1982-1999 –> 2000-2012	3.3439506	6527.69445
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	722	1.6535346	2789.156784	14.7399711	1982-1999 –> 2000-2012	3.3439506	6527.69445
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	364	1.7268302	1444.684538	13.7518672	2000-2012 –> 2013-2019	3.3535919	4210.26968
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + phosphate	364	1.7438081	1449.807133	12.2711012	2000-2012 –> 2013-2019	3.3792145	4221.04551
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	364	1.7438081	1449.807133	12.2711012	2000-2012 –> 2013-2019	3.3792145	4221.04551
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + phosphate_star	364	1.7438081	1449.807133	12.2711012	2000-2012 –> 2013-2019	3.3792145	4221.04551
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	364	1.7268302	1444.684538	13.7518672	2000-2012 –> 2013-2019	3.3535919	4210.26968
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	364	1.7268302	1444.684538	13.7518672	2000-2012 –> 2013-2019	3.3535919	4210.26968
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	364	1.6780668	1423.830913	10.6183742	2000-2012 –> 2013-2019	3.2772860	4164.75862
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	364	1.7358820	1448.490638	13.8613147	2000-2012 –> 2013-2019	3.3719622	4222.32377
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	364	1.6780668	1423.830913	10.6183742	2000-2012 –> 2013-2019	3.2772860	4164.75862
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	364	1.6780668	1423.830913	10.6183742	2000-2012 –> 2013-2019	3.2772860	4164.75862
Atlantic	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	694	2.8412740	3430.909237	20.0203261	1982-1999 –> 2000-2012	5.7998788	8259.94399
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate	694	2.8412740	3430.909237	20.0203261	1982-1999 –> 2000-2012	5.7998788	8259.94399
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	694	2.8412740	3430.909237	20.0203261	1982-1999 –> 2000-2012	5.7998788	8259.94399
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	694	2.8412740	3430.909237	20.0203261	1982-1999 –> 2000-2012	5.7998788	8259.94399
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	694	2.7709000	3398.097680	20.1418519	1982-1999 –> 2000-2012	5.7244719	8225.85675
Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	694	2.7709000	3398.097680	20.1418519	1982-1999 –> 2000-2012	5.7244719	8225.85675
Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	694	2.7709000	3398.097680	20.1418519	1982-1999 –> 2000-2012	5.7244719	8225.85675
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	694	2.6878487	3355.859387	20.1028452	1982-1999 –> 2000-2012	5.6412180	8183.48649
Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	694	2.6878487	3355.859387	20.1028452	1982-1999 –> 2000-2012	5.6412180	8183.48649
Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	694	2.6878487	3355.859387	20.1028452	1982-1999 –> 2000-2012	5.6412180	8183.48649
Atlantic	(27.85,27.95]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	415	3.0542817	2116.450869	18.0269148	2000-2012 –> 2013-2019	5.8955557	5547.36011
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate	415	3.0542817	2116.450869	18.0269148	2000-2012 –> 2013-2019	5.8955557	5547.36011
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	415	3.0542817	2116.450869	18.0269148	2000-2012 –> 2013-2019	5.8955557	5547.36011
Atlantic	(27.85,27.95]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	415	3.0542817	2116.450869	18.0269148	2000-2012 –> 2013-2019	5.8955557	5547.36011
Atlantic	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	415	3.0317519	2112.305705	17.9822303	2000-2012 –> 2013-2019	5.8026519	5510.40338
Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	415	3.0317519	2112.305705	17.9822303	2000-2012 –> 2013-2019	5.8026519	5510.40338
Atlantic	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	415	3.0317519	2112.305705	17.9822303	2000-2012 –> 2013-2019	5.8026519	5510.40338
Atlantic	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	415	3.0207158	2109.278858	17.8578045	2000-2012 –> 2013-2019	5.7085645	5465.13824
Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	415	3.0207158	2109.278858	17.8578045	2000-2012 –> 2013-2019	5.7085645	5465.13824
Atlantic	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	415	3.0207158	2109.278858	17.8578045	2000-2012 –> 2013-2019	5.7085645	5465.13824
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	723	3.1223151	3712.164200	22.1400867	1982-1999 –> 2000-2012	6.8744392	9170.30781
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	723	3.1176154	3709.986044	21.8324808	1982-1999 –> 2000-2012	6.8686487	9167.55224
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	723	3.1176154	3709.986044	21.8324808	1982-1999 –> 2000-2012	6.8686487	9167.55224
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	723	3.1176154	3709.986044	21.8324808	1982-1999 –> 2000-2012	6.8686487	9167.55224
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	723	3.0943625	3699.160555	18.3736306	1982-1999 –> 2000-2012	6.8421502	9155.00761
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	723	3.0943625	3699.160555	18.3736306	1982-1999 –> 2000-2012	6.8421502	9155.00761
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	723	3.0943625	3699.160555	18.3736306	1982-1999 –> 2000-2012	6.8421502	9155.00761
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + silicate + phosphate	723	3.1228707	3710.421472	22.8193044	1982-1999 –> 2000-2012	6.8769297	9167.58898
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + silicate + phosphate + phosphate_star	723	3.1228707	3710.421472	22.8193044	1982-1999 –> 2000-2012	6.8769297	9167.58898
Atlantic	(27.95,28.05]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	723	3.1228707	3710.421472	22.8193044	1982-1999 –> 2000-2012	6.8769297	9167.58898
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	386	2.8428108	1916.000961	14.0211453	2000-2012 –> 2013-2019	5.9703985	5630.60493
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	386	2.8383959	1914.801104	13.9583534	2000-2012 –> 2013-2019	5.9607110	5626.96530
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	386	2.8350282	1913.884600	13.8967441	2000-2012 –> 2013-2019	5.9526436	5623.87064
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	386	2.8350282	1913.884600	13.8967441	2000-2012 –> 2013-2019	5.9526436	5623.87064
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	386	2.8350282	1913.884600	13.8967441	2000-2012 –> 2013-2019	5.9526436	5623.87064
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	386	2.8196164	1909.676389	13.5039640	2000-2012 –> 2013-2019	5.9139789	5608.83694
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	386	2.8196164	1909.676389	13.5039640	2000-2012 –> 2013-2019	5.9139789	5608.83694
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	386	2.8196164	1909.676389	13.5039640	2000-2012 –> 2013-2019	5.9139789	5608.83694
Atlantic	(27.95,28.05]	cstar_tref ~ temp + oxygen + silicate + phosphate_star	386	2.8484126	1915.520690	14.0128878	2000-2012 –> 2013-2019	5.9712832	5625.94216
Atlantic	(27.95,28.05]	cstar_tref ~ temp + silicate + phosphate + phosphate_star	386	2.8484126	1915.520690	14.0128878	2000-2012 –> 2013-2019	5.9712832	5625.94216
Atlantic	(28.05,28.1]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	436	0.2179047	-79.349662	1.3640876	1982-1999 –> 2000-2012	0.3337049	-947.26878
Atlantic	(28.05,28.1]	cstar_tref ~ oxygen + aou + silicate + phosphate	436	0.2179047	-79.349662	1.3640876	1982-1999 –> 2000-2012	0.3337049	-947.26878
Atlantic	(28.05,28.1]	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	436	0.2179047	-79.349662	1.3640876	1982-1999 –> 2000-2012	0.3337049	-947.26878
Atlantic	(28.05,28.1]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	436	0.2179047	-79.349662	1.3640876	1982-1999 –> 2000-2012	0.3337049	-947.26878
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	436	0.2109412	-105.670821	1.4763185	1982-1999 –> 2000-2012	0.3259563	-979.71285
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	436	0.2109412	-105.670821	1.4763185	1982-1999 –> 2000-2012	0.3259563	-979.71285
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	436	0.2109412	-105.670821	1.4763185	1982-1999 –> 2000-2012	0.3259563	-979.71285
Atlantic	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	436	0.2176361	-78.425344	1.3751833	1982-1999 –> 2000-2012	0.3331923	-946.86274
Atlantic	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	436	0.2176361	-78.425344	1.3751833	1982-1999 –> 2000-2012	0.3331923	-946.86274
Atlantic	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	436	0.2176361	-78.425344	1.3751833	1982-1999 –> 2000-2012	0.3331923	-946.86274
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	229	0.2500674	27.074573	0.9325065	2000-2012 –> 2013-2019	0.4621040	-76.08002
Atlantic	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	229	0.2472173	23.824553	1.0717180	2000-2012 –> 2013-2019	0.4581585	-81.84627
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate	229	0.2500674	27.074573	0.9325065	2000-2012 –> 2013-2019	0.4621040	-76.08002
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	229	0.2500674	27.074573	0.9325065	2000-2012 –> 2013-2019	0.4621040	-76.08002
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate_star	229	0.2500674	27.074573	0.9325065	2000-2012 –> 2013-2019	0.4621040	-76.08002
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	229	0.2472173	23.824553	1.0717180	2000-2012 –> 2013-2019	0.4581585	-81.84627
Atlantic	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	229	0.2472173	23.824553	1.0717180	2000-2012 –> 2013-2019	0.4581585	-81.84627
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	229	0.2362004	2.945556	1.0819569	2000-2012 –> 2013-2019	0.4378010	-142.21867
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	229	0.2362004	2.945556	1.0819569	2000-2012 –> 2013-2019	0.4378010	-142.21867
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	229	0.2362004	2.945556	1.0819569	2000-2012 –> 2013-2019	0.4378010	-142.21867
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	541	0.1394443	-582.345612	1.0824605	1982-1999 –> 2000-2012	0.2743304	-1472.97554
Atlantic	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	541	0.1394443	-582.345612	1.0824605	1982-1999 –> 2000-2012	0.2743304	-1472.97554
Atlantic	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	541	0.1394443	-582.345612	1.0824605	1982-1999 –> 2000-2012	0.2743304	-1472.97554
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	541	0.1413974	-567.296224	1.1077546	1982-1999 –> 2000-2012	0.2772035	-1447.40398
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	541	0.1428962	-555.887490	1.1218747	1982-1999 –> 2000-2012	0.2796776	-1424.91708
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	541	0.1430848	-554.460424	1.1249335	1982-1999 –> 2000-2012	0.2799199	-1422.88225
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	541	0.1430848	-554.460424	1.1249335	1982-1999 –> 2000-2012	0.2799199	-1422.88225
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	541	0.1430848	-554.460424	1.1249335	1982-1999 –> 2000-2012	0.2799199	-1422.88225
Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	541	0.1566336	-456.569795	1.2740811	1982-1999 –> 2000-2012	0.3008900	-1243.23369
Atlantic	(28.1,28.15]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	541	0.1566336	-456.569795	1.2740811	1982-1999 –> 2000-2012	0.3008900	-1243.23369
Atlantic	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	288	0.1282569	-351.633975	0.4661753	2000-2012 –> 2013-2019	0.2677013	-933.97959
Atlantic	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	288	0.1282569	-351.633975	0.4661753	2000-2012 –> 2013-2019	0.2677013	-933.97959
Atlantic	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	288	0.1282569	-351.633975	0.4661753	2000-2012 –> 2013-2019	0.2677013	-933.97959
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	288	0.1305243	-341.540085	0.4627303	2000-2012 –> 2013-2019	0.2719217	-908.83631
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	288	0.1322538	-333.958174	0.4590119	2000-2012 –> 2013-2019	0.2751500	-889.84566
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	288	0.1409148	-297.420897	0.6451259	2000-2012 –> 2013-2019	0.2886767	-817.07924
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	288	0.1409148	-297.420897	0.6451259	2000-2012 –> 2013-2019	0.2886767	-817.07924
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	288	0.1325312	-332.751023	0.4591722	2000-2012 –> 2013-2019	0.2756160	-887.21145
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	288	0.1325312	-332.751023	0.4591722	2000-2012 –> 2013-2019	0.2756160	-887.21145
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	288	0.1325312	-332.751023	0.4591722	2000-2012 –> 2013-2019	0.2756160	-887.21145
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1155	0.2973070	489.741021	1.1555289	1982-1999 –> 2000-2012	0.6778125	2072.74363
Atlantic	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1155	0.2973070	489.741021	1.1555289	1982-1999 –> 2000-2012	0.6778125	2072.74363
Atlantic	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1155	0.2973070	489.741021	1.1555289	1982-1999 –> 2000-2012	0.6778125	2072.74363
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1155	0.2976650	492.521276	1.1519263	1982-1999 –> 2000-2012	0.6785116	2078.62938
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1155	0.2982610	497.141683	1.1508210	1982-1999 –> 2000-2012	0.6794854	2086.68593
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1155	0.2982387	496.968549	1.1503200	1982-1999 –> 2000-2012	0.6794721	2086.59522
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1155	0.2982387	496.968549	1.1503200	1982-1999 –> 2000-2012	0.6794721	2086.59522
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1155	0.2982387	496.968549	1.1503200	1982-1999 –> 2000-2012	0.6794721	2086.59522
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	1155	0.3004695	512.183308	1.2576325	1982-1999 –> 2000-2012	0.6828614	2110.32575
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1155	0.3109772	593.585496	1.0916728	1982-1999 –> 2000-2012	0.7016593	2268.06832
Atlantic	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	636	0.3580823	512.555409	2.3528717	2000-2012 –> 2013-2019	0.6553893	1002.29643
Atlantic	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	636	0.3580823	512.555409	2.3528717	2000-2012 –> 2013-2019	0.6553893	1002.29643
Atlantic	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	636	0.3580823	512.555409	2.3528717	2000-2012 –> 2013-2019	0.6553893	1002.29643
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	636	0.3585233	514.121061	2.3427636	2000-2012 –> 2013-2019	0.6561883	1006.64234
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	636	0.3589840	515.754532	2.3318667	2000-2012 –> 2013-2019	0.6572450	1012.89622
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	636	0.3589968	515.799831	2.3317557	2000-2012 –> 2013-2019	0.6572355	1012.76838
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	636	0.3589968	515.799831	2.3317557	2000-2012 –> 2013-2019	0.6572355	1012.76838
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	636	0.3589968	515.799831	2.3317557	2000-2012 –> 2013-2019	0.6572355	1012.76838
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate_star	636	0.3605425	519.264825	2.3812408	2000-2012 –> 2013-2019	0.6610120	1031.44813
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	636	0.3663534	541.602191	2.1713907	2000-2012 –> 2013-2019	0.6773306	1135.18769
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	955	0.3853342	900.711900	2.7221362	1982-1999 –> 2000-2012	0.9365846	2953.02869
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	955	0.3302057	607.817396	2.0435994	1982-1999 –> 2000-2012	0.8794839	2653.25281
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	955	0.3302057	607.817396	2.0435994	1982-1999 –> 2000-2012	0.8794839	2653.25281
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	955	0.3302057	607.817396	2.0435994	1982-1999 –> 2000-2012	0.8794839	2653.25281
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	955	0.3341024	630.224821	2.0204603	1982-1999 –> 2000-2012	0.8832204	2674.93749
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	955	0.3377975	651.233205	1.9994147	1982-1999 –> 2000-2012	0.8860519	2692.04536
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	955	0.3377542	650.988114	2.0093171	1982-1999 –> 2000-2012	0.8860409	2691.94645
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	955	0.3377542	650.988114	2.0093171	1982-1999 –> 2000-2012	0.8860409	2691.94645
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	955	0.3377542	650.988114	2.0093171	1982-1999 –> 2000-2012	0.8860409	2691.94645
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate_star	955	0.3378894	649.752409	1.9553433	1982-1999 –> 2000-2012	0.8890811	2701.80551
Atlantic	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	552	0.5028733	821.599741	3.7448893	2000-2012 –> 2013-2019	0.8330790	1429.41714
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	552	0.5028733	821.599741	3.7448893	2000-2012 –> 2013-2019	0.8330790	1429.41714
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	552	0.5028733	821.599741	3.7448893	2000-2012 –> 2013-2019	0.8330790	1429.41714
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	552	0.5014275	818.421119	3.6687521	2000-2012 –> 2013-2019	0.8355299	1448.64594
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	552	0.5001058	815.507256	3.5900054	2000-2012 –> 2013-2019	0.8379033	1466.74046
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	552	0.5446404	909.685228	4.6301732	2000-2012 –> 2013-2019	0.8465623	1346.46638
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	552	0.5446404	909.685228	4.6301732	2000-2012 –> 2013-2019	0.8465623	1346.46638
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	552	0.4999646	815.195549	3.5780560	2000-2012 –> 2013-2019	0.8377188	1466.18366
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	552	0.4999646	815.195549	3.5780560	2000-2012 –> 2013-2019	0.8377188	1466.18366
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	552	0.4999646	815.195549	3.5780560	2000-2012 –> 2013-2019	0.8377188	1466.18366
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	5288	6.2360939	34376.517925	29.9685673	1982-1999 –> 2000-2012	12.7664702	81783.00523
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5288	6.1928478	34304.919955	29.5273536	1982-1999 –> 2000-2012	12.6725136	81601.29062
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate	5288	6.2360939	34376.517925	29.9685673	1982-1999 –> 2000-2012	12.7664702	81783.00523
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	5288	6.2360939	34376.517925	29.9685673	1982-1999 –> 2000-2012	12.7664702	81783.00523
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate_star	5288	6.2360939	34376.517925	29.9685673	1982-1999 –> 2000-2012	12.7664702	81783.00523
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5288	6.1928478	34304.919955	29.5273536	1982-1999 –> 2000-2012	12.6725136	81601.29062
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5288	6.1928478	34304.919955	29.5273536	1982-1999 –> 2000-2012	12.6725136	81601.29062
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	5288	6.2323348	34372.140776	29.8694812	1982-1999 –> 2000-2012	12.7612356	81777.37841
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	5288	6.2323348	34372.140776	29.8694812	1982-1999 –> 2000-2012	12.7612356	81777.37841
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	5288	6.2323348	34372.140776	29.8694812	1982-1999 –> 2000-2012	12.7612356	81777.37841
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + phosphate + phosphate_star	2815	5.9530030	18043.957291	24.8937268	2000-2012 –> 2013-2019	12.1890969	52420.47522
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2815	5.8787943	17975.333992	24.1274152	2000-2012 –> 2013-2019	12.0716422	52280.25395
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate	2815	5.9530030	18043.957291	24.8937268	2000-2012 –> 2013-2019	12.1890969	52420.47522
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	2815	5.9530030	18043.957291	24.8937268	2000-2012 –> 2013-2019	12.1890969	52420.47522
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + phosphate_star	2815	5.9530030	18043.957291	24.8937268	2000-2012 –> 2013-2019	12.1890969	52420.47522
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2815	5.8787943	17975.333992	24.1274152	2000-2012 –> 2013-2019	12.0716422	52280.25395
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2815	5.8787943	17975.333992	24.1274152	2000-2012 –> 2013-2019	12.0716422	52280.25395
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2815	5.9511813	18044.234154	24.7705850	2000-2012 –> 2013-2019	12.1835161	52416.37493
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2815	5.9511813	18044.234154	24.7705850	2000-2012 –> 2013-2019	12.1835161	52416.37493
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2815	5.9511813	18044.234154	24.7705850	2000-2012 –> 2013-2019	12.1835161	52416.37493
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5428	4.5387228	31839.277890	43.7366220	1982-1999 –> 2000-2012	8.7811733	75364.37494
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5428	4.5387228	31839.277890	43.7366220	1982-1999 –> 2000-2012	8.7811733	75364.37494
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5428	4.5387228	31839.277890	43.7366220	1982-1999 –> 2000-2012	8.7811733	75364.37494
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5428	4.5972029	31978.260876	39.9466263	1982-1999 –> 2000-2012	8.8916713	75688.49856
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5428	4.6702501	32149.400985	38.5622127	1982-1999 –> 2000-2012	9.0197595	76053.11295
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5428	4.6786070	32168.809282	39.5746597	1982-1999 –> 2000-2012	9.0396276	76112.67451
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5428	4.6786070	32168.809282	39.5746597	1982-1999 –> 2000-2012	9.0396276	76112.67451
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5428	4.6786070	32168.809282	39.5746597	1982-1999 –> 2000-2012	9.0396276	76112.67451
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5428	4.8704336	32605.031006	41.2998501	1982-1999 –> 2000-2012	9.4796435	77389.77888
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	5428	4.8704336	32605.031006	41.2998501	1982-1999 –> 2000-2012	9.4796435	77389.77888
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2876	4.4815941	16803.612608	46.1900332	2000-2012 –> 2013-2019	9.0203169	48642.89050
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2876	4.4815941	16803.612608	46.1900332	2000-2012 –> 2013-2019	9.0203169	48642.89050
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2876	4.4815941	16803.612608	46.1900332	2000-2012 –> 2013-2019	9.0203169	48642.89050
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2876	4.5713284	16917.646172	39.7335019	2000-2012 –> 2013-2019	9.1685314	48895.90705
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2876	4.6511214	17017.181667	36.5566719	2000-2012 –> 2013-2019	9.3213715	49166.58265
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2876	4.6557423	17022.893429	36.3745282	2000-2012 –> 2013-2019	9.3343493	49191.70271
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2876	4.6557423	17022.893429	36.3745282	2000-2012 –> 2013-2019	9.3343493	49191.70271
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2876	4.6557423	17022.893429	36.3745282	2000-2012 –> 2013-2019	9.3343493	49191.70271
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	2876	4.7308237	17112.913778	34.8668443	2000-2012 –> 2013-2019	9.6494996	49822.94581
Indo-Pacific	(26,26.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2876	4.8127496	17213.671221	38.8375973	2000-2012 –> 2013-2019	9.6831832	49818.70223
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate	4269	4.0546161	24078.867852	22.3581891	1982-1999 –> 2000-2012	8.0016719	57191.73449
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	4269	4.0546161	24078.867852	22.3581891	1982-1999 –> 2000-2012	8.0016719	57191.73449
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	4269	4.0546161	24078.867852	22.3581891	1982-1999 –> 2000-2012	8.0016719	57191.73449
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4269	3.9438120	23844.294920	20.4830181	1982-1999 –> 2000-2012	7.6993981	56369.61516
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	4269	3.9438120	23844.294920	20.4830181	1982-1999 –> 2000-2012	7.6993981	56369.61516
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	4269	3.9438120	23844.294920	20.4830181	1982-1999 –> 2000-2012	7.6993981	56369.61516
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	4269	4.0637389	24100.056558	20.7793361	1982-1999 –> 2000-2012	7.9220345	56945.26579
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4269	3.9458514	23848.708841	23.7921959	1982-1999 –> 2000-2012	7.8106187	56713.78794
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	4269	3.9458514	23848.708841	23.7921959	1982-1999 –> 2000-2012	7.8106187	56713.78794
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	4269	3.9458514	23848.708841	23.7921959	1982-1999 –> 2000-2012	7.8106187	56713.78794
Indo-Pacific	(26.5,26.75]	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2324	4.4254119	13520.491182	24.9112112	2000-2012 –> 2013-2019	8.4800280	37599.35903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate	2324	4.4254119	13520.491182	24.9112112	2000-2012 –> 2013-2019	8.4800280	37599.35903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate + phosphate_star	2324	4.4254119	13520.491182	24.9112112	2000-2012 –> 2013-2019	8.4800280	37599.35903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ oxygen + aou + silicate + phosphate_star	2324	4.4254119	13520.491182	24.9112112	2000-2012 –> 2013-2019	8.4800280	37599.35903
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2324	4.3199526	13410.386398	24.6916724	2000-2012 –> 2013-2019	8.2637646	37254.68132
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2324	4.3199526	13410.386398	24.6916724	2000-2012 –> 2013-2019	8.2637646	37254.68132
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2324	4.3199526	13410.386398	24.6916724	2000-2012 –> 2013-2019	8.2637646	37254.68132
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2324	4.3137865	13403.747333	23.1641121	2000-2012 –> 2013-2019	8.2596379	37252.45617
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2324	4.3137865	13403.747333	23.1641121	2000-2012 –> 2013-2019	8.2596379	37252.45617
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2324	4.3137865	13403.747333	23.1641121	2000-2012 –> 2013-2019	8.2596379	37252.45617
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4557	4.1556325	25928.776454	23.0206730	1982-1999 –> 2000-2012	7.6982624	60451.17863
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	4557	4.1556325	25928.776454	23.0206730	1982-1999 –> 2000-2012	7.6982624	60451.17863
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	4557	4.1556325	25928.776454	23.0206730	1982-1999 –> 2000-2012	7.6982624	60451.17863
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4557	4.1598161	25935.947216	23.1614170	1982-1999 –> 2000-2012	7.7437292	60605.32053
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4557	4.1362281	25886.119686	21.9180570	1982-1999 –> 2000-2012	7.7019358	60492.01106
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate	4557	4.1598161	25935.947216	23.1614170	1982-1999 –> 2000-2012	7.7437292	60605.32053
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	4557	4.1598161	25935.947216	23.1614170	1982-1999 –> 2000-2012	7.7437292	60605.32053
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate_star	4557	4.1598161	25935.947216	23.1614170	1982-1999 –> 2000-2012	7.7437292	60605.32053
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	4557	4.1362281	25886.119686	21.9180570	1982-1999 –> 2000-2012	7.7019358	60492.01106
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	4557	4.1362281	25886.119686	21.9180570	1982-1999 –> 2000-2012	7.7019358	60492.01106
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2460	4.6048662	14508.576616	17.1326056	2000-2012 –> 2013-2019	8.7604987	40437.35307
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2460	4.6048662	14508.576616	17.1326056	2000-2012 –> 2013-2019	8.7604987	40437.35307
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2460	4.6048662	14508.576616	17.1326056	2000-2012 –> 2013-2019	8.7604987	40437.35307
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2460	4.6128201	14515.067487	16.6134065	2000-2012 –> 2013-2019	8.7726362	40451.01470
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2460	4.5994232	14502.757680	16.6240534	2000-2012 –> 2013-2019	8.7356513	40388.87737
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate	2460	4.6128201	14515.067487	16.6134065	2000-2012 –> 2013-2019	8.7726362	40451.01470
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	2460	4.6128201	14515.067487	16.6134065	2000-2012 –> 2013-2019	8.7726362	40451.01470
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate_star	2460	4.6128201	14515.067487	16.6134065	2000-2012 –> 2013-2019	8.7726362	40451.01470
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2460	4.5994232	14502.757680	16.6240534	2000-2012 –> 2013-2019	8.7356513	40388.87737
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2460	4.5994232	14502.757680	16.6240534	2000-2012 –> 2013-2019	8.7356513	40388.87737
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	4267	3.7349914	23368.861623	42.9143849	1982-1999 –> 2000-2012	6.7282481	52394.33781
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	4267	3.7349914	23368.861623	42.9143849	1982-1999 –> 2000-2012	6.7282481	52394.33781
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	4267	3.7349914	23368.861623	42.9143849	1982-1999 –> 2000-2012	6.7282481	52394.33781
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	4267	3.7387791	23375.511647	42.2525000	1982-1999 –> 2000-2012	6.7614943	52511.94640
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	4267	3.4041802	22577.406832	30.9255112	1982-1999 –> 2000-2012	6.2015505	50822.23662
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate	4267	3.7387791	23375.511647	42.2525000	1982-1999 –> 2000-2012	6.7614943	52511.94640
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	4267	3.7387791	23375.511647	42.2525000	1982-1999 –> 2000-2012	6.7614943	52511.94640
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate_star	4267	3.7387791	23375.511647	42.2525000	1982-1999 –> 2000-2012	6.7614943	52511.94640
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	4267	3.4041802	22577.406832	30.9255112	1982-1999 –> 2000-2012	6.2015505	50822.23662
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	4267	3.4041802	22577.406832	30.9255112	1982-1999 –> 2000-2012	6.2015505	50822.23662
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2344	4.5554949	13774.558428	35.2893459	2000-2012 –> 2013-2019	8.2904863	37143.42005
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2344	4.5554949	13774.558428	35.2893459	2000-2012 –> 2013-2019	8.2904863	37143.42005
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2344	4.5554949	13774.558428	35.2893459	2000-2012 –> 2013-2019	8.2904863	37143.42005
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2344	4.5558378	13772.911312	35.4736376	2000-2012 –> 2013-2019	8.2946169	37148.42296
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2344	3.9533412	13109.926205	24.4569335	2000-2012 –> 2013-2019	7.3575214	35687.33304
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate	2344	4.5558378	13772.911312	35.4736376	2000-2012 –> 2013-2019	8.2946169	37148.42296
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	2344	4.5558378	13772.911312	35.4736376	2000-2012 –> 2013-2019	8.2946169	37148.42296
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate_star	2344	4.5558378	13772.911312	35.4736376	2000-2012 –> 2013-2019	8.2946169	37148.42296
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2344	3.9533412	13109.926205	24.4569335	2000-2012 –> 2013-2019	7.3575214	35687.33304
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2344	3.9533412	13109.926205	24.4569335	2000-2012 –> 2013-2019	7.3575214	35687.33304
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3520	3.1346725	18046.701221	29.1767786	1982-1999 –> 2000-2012	6.0487445	41537.11519
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3520	3.1346725	18046.701221	29.1767786	1982-1999 –> 2000-2012	6.0487445	41537.11519
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3520	3.1346725	18046.701221	29.1767786	1982-1999 –> 2000-2012	6.0487445	41537.11519
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3520	3.1202129	18014.152053	29.4518972	1982-1999 –> 2000-2012	6.0220192	41464.77333
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3520	3.1464564	18073.116463	29.5363811	1982-1999 –> 2000-2012	6.0679684	41587.58622
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3520	3.1464564	18073.116463	29.5363811	1982-1999 –> 2000-2012	6.0679684	41587.58622
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3520	3.1464564	18073.116463	29.5363811	1982-1999 –> 2000-2012	6.0679684	41587.58622
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	3520	2.8774108	17443.838876	30.1555714	1982-1999 –> 2000-2012	5.6901545	40600.37457
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	3520	2.8774108	17443.838876	30.1555714	1982-1999 –> 2000-2012	5.6901545	40600.37457
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	3520	2.8774108	17443.838876	30.1555714	1982-1999 –> 2000-2012	5.6901545	40600.37457
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1879	3.6867091	10249.562204	27.5141850	2000-2012 –> 2013-2019	6.8213816	28296.26342
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1879	3.6867091	10249.562204	27.5141850	2000-2012 –> 2013-2019	6.8213816	28296.26342
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1879	3.6867091	10249.562204	27.5141850	2000-2012 –> 2013-2019	6.8213816	28296.26342
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1879	3.6579924	10220.175560	27.9920522	2000-2012 –> 2013-2019	6.7782053	28234.32761
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1879	3.6852335	10248.057760	28.1152441	2000-2012 –> 2013-2019	6.8316899	28321.17422
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1879	3.6852335	10248.057760	28.1152441	2000-2012 –> 2013-2019	6.8316899	28321.17422
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1879	3.6852335	10248.057760	28.1152441	2000-2012 –> 2013-2019	6.8316899	28321.17422
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1879	3.3526141	9892.575280	28.9794819	2000-2012 –> 2013-2019	6.2300248	27336.41416
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1879	3.3526141	9892.575280	28.9794819	2000-2012 –> 2013-2019	6.2300248	27336.41416
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1879	3.3526141	9892.575280	28.9794819	2000-2012 –> 2013-2019	6.2300248	27336.41416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3170	1.8834035	13023.800742	9.5549910	1982-1999 –> 2000-2012	3.5338959	30329.43049
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	3170	1.9027986	13086.755512	12.4473296	1982-1999 –> 2000-2012	3.5535107	30391.58410
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3170	1.8834035	13023.800742	9.5549910	1982-1999 –> 2000-2012	3.5338959	30329.43049
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3170	1.8834035	13023.800742	9.5549910	1982-1999 –> 2000-2012	3.5338959	30329.43049
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + silicate + phosphate	3170	1.9247016	13159.318110	14.1925496	1982-1999 –> 2000-2012	3.5760715	30467.73487
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3170	1.8808520	13015.205979	9.5198488	1982-1999 –> 2000-2012	3.5317875	30323.25341
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3170	1.8822945	13020.066462	9.5359358	1982-1999 –> 2000-2012	3.5327824	30325.67165
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3170	1.8817537	13018.244743	9.5293548	1982-1999 –> 2000-2012	3.5322649	30323.97696
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3170	1.8817537	13018.244743	9.5293548	1982-1999 –> 2000-2012	3.5322649	30323.97696
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3170	1.8817537	13018.244743	9.5293548	1982-1999 –> 2000-2012	3.5322649	30323.97696
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1683	2.1483716	7364.161462	12.8217994	2000-2012 –> 2013-2019	4.0317751	20387.96220
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate_star	1683	2.2370458	7498.302788	13.7718692	2000-2012 –> 2013-2019	4.1398444	20585.05830
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1683	2.1483716	7364.161462	12.8217994	2000-2012 –> 2013-2019	4.0317751	20387.96220
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1683	2.1483716	7364.161462	12.8217994	2000-2012 –> 2013-2019	4.0317751	20387.96220
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + oxygen + silicate + phosphate	1683	2.2955622	7585.218276	14.9967179	2000-2012 –> 2013-2019	4.2202638	20744.53639
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1683	2.1449046	7358.725091	12.7298567	2000-2012 –> 2013-2019	4.0257566	20373.93107
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1683	2.1461494	7360.678050	12.7660610	2000-2012 –> 2013-2019	4.0284439	20380.74451
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1683	2.1454909	7359.645130	12.7476542	2000-2012 –> 2013-2019	4.0272446	20377.88987
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1683	2.1454909	7359.645130	12.7476542	2000-2012 –> 2013-2019	4.0272446	20377.88987
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1683	2.1454909	7359.645130	12.7476542	2000-2012 –> 2013-2019	4.0272446	20377.88987
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1216	1.4268879	4329.424189	7.6562558	1982-1999 –> 2000-2012	2.7551730	10092.16905
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1216	1.4268879	4329.424189	7.6562558	1982-1999 –> 2000-2012	2.7551730	10092.16905
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1216	1.4268879	4329.424189	7.6562558	1982-1999 –> 2000-2012	2.7551730	10092.16905
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1216	1.2257896	3959.977795	5.7133287	1982-1999 –> 2000-2012	2.4231295	9372.33983
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1216	1.4351721	4343.503102	7.9724211	1982-1999 –> 2000-2012	2.7646432	10109.26081
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1216	1.2257896	3959.977795	5.7133287	1982-1999 –> 2000-2012	2.4231295	9372.33983
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1216	1.2257896	3959.977795	5.7133287	1982-1999 –> 2000-2012	2.4231295	9372.33983
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1216	1.3124934	4126.189160	6.8457618	1982-1999 –> 2000-2012	2.5618830	9682.20926
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1216	1.3124934	4126.189160	6.8457618	1982-1999 –> 2000-2012	2.5618830	9682.20926
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1216	1.3124934	4126.189160	6.8457618	1982-1999 –> 2000-2012	2.5618830	9682.20926
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	691	1.6140386	2636.590993	13.0991822	2000-2012 –> 2013-2019	3.0409264	6966.01518
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	691	1.6140386	2636.590993	13.0991822	2000-2012 –> 2013-2019	3.0409264	6966.01518
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	691	1.6140386	2636.590993	13.0991822	2000-2012 –> 2013-2019	3.0409264	6966.01518
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	691	1.3286664	2367.703966	8.2042737	2000-2012 –> 2013-2019	2.5544561	6327.68176
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	691	1.6190756	2640.897202	13.5827675	2000-2012 –> 2013-2019	3.0542477	6984.40030
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	691	1.3286664	2367.703966	8.2042737	2000-2012 –> 2013-2019	2.5544561	6327.68176
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	691	1.3286664	2367.703966	8.2042737	2000-2012 –> 2013-2019	2.5544561	6327.68176
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	691	1.5393786	2571.138596	10.1972442	2000-2012 –> 2013-2019	2.8518720	6697.32776
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	691	1.5393786	2571.138596	10.1972442	2000-2012 –> 2013-2019	2.8518720	6697.32776
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	691	1.5393786	2571.138596	10.1972442	2000-2012 –> 2013-2019	2.8518720	6697.32776
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1797	1.3767808	6262.839408	10.8206192	1982-1999 –> 2000-2012	2.6534586	14695.95693
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1797	1.3767808	6262.839408	10.8206192	1982-1999 –> 2000-2012	2.6534586	14695.95693
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1797	1.3767808	6262.839408	10.8206192	1982-1999 –> 2000-2012	2.6534586	14695.95693
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1797	1.2870458	6020.609331	8.7933519	1982-1999 –> 2000-2012	2.3725611	13632.63724
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1797	1.2870458	6020.609331	8.7933519	1982-1999 –> 2000-2012	2.3725611	13632.63724
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1797	1.2870458	6020.609331	8.7933519	1982-1999 –> 2000-2012	2.3725611	13632.63724
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1797	1.2373876	5879.195630	6.8169027	1982-1999 –> 2000-2012	2.3851572	13773.51013
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1797	1.3914252	6300.866006	9.9533251	1982-1999 –> 2000-2012	2.6565451	14687.94739
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1797	1.3914252	6300.866006	9.9533251	1982-1999 –> 2000-2012	2.6565451	14687.94739
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1797	1.3914252	6300.866006	9.9533251	1982-1999 –> 2000-2012	2.6565451	14687.94739
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	987	1.5919784	3732.850266	10.5660006	2000-2012 –> 2013-2019	2.9687592	9995.68967
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate	987	1.6167964	3761.386363	12.6522924	2000-2012 –> 2013-2019	3.0074315	10058.21095
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	987	1.5919784	3732.850266	10.5660006	2000-2012 –> 2013-2019	2.9687592	9995.68967
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	987	1.5919784	3732.850266	10.5660006	2000-2012 –> 2013-2019	2.9687592	9995.68967
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	987	1.4361554	3529.512839	8.9979380	2000-2012 –> 2013-2019	2.7232012	9550.12217
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	987	1.6139344	3759.888932	11.0361577	2000-2012 –> 2013-2019	3.0078477	10067.17572
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	987	1.6165799	3763.122064	11.1683833	2000-2012 –> 2013-2019	3.0121714	10074.73318
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	987	1.4361554	3529.512839	8.9979380	2000-2012 –> 2013-2019	2.7232012	9550.12217
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	987	1.4361554	3529.512839	8.9979380	2000-2012 –> 2013-2019	2.7232012	9550.12217
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate	987	1.4185912	3505.221899	7.0604103	2000-2012 –> 2013-2019	2.6559788	9384.41753
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1162	0.5801738	2046.363310	3.0668291	1982-1999 –> 2000-2012	1.1222674	4865.79437
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1162	0.5801738	2046.363310	3.0668291	1982-1999 –> 2000-2012	1.1222674	4865.79437
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1162	0.5801738	2046.363310	3.0668291	1982-1999 –> 2000-2012	1.1222674	4865.79437
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1162	0.5807005	2048.472523	3.1107181	1982-1999 –> 2000-2012	1.1238891	4874.92133
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1162	0.5812399	2050.630181	3.1553323	1982-1999 –> 2000-2012	1.1253410	4882.91731
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1162	0.5813748	2051.169436	3.1662919	1982-1999 –> 2000-2012	1.1257026	4884.90525
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1162	0.5813748	2051.169436	3.1662919	1982-1999 –> 2000-2012	1.1257026	4884.90525
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1162	0.5749226	2025.232979	2.9259808	1982-1999 –> 2000-2012	1.1074497	4782.73873
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1162	0.5749226	2025.232979	2.9259808	1982-1999 –> 2000-2012	1.1074497	4782.73873
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1162	0.5749226	2025.232979	2.9259808	1982-1999 –> 2000-2012	1.1074497	4782.73873
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	648	0.6051146	1201.915076	2.6426945	2000-2012 –> 2013-2019	1.1852884	3248.27839
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	648	0.6051146	1201.915076	2.6426945	2000-2012 –> 2013-2019	1.1852884	3248.27839
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	648	0.6051146	1201.915076	2.6426945	2000-2012 –> 2013-2019	1.1852884	3248.27839
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate	648	0.6059601	1203.724657	2.6446851	2000-2012 –> 2013-2019	1.1866607	3252.19718
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	648	0.6068029	1205.525847	2.6420479	2000-2012 –> 2013-2019	1.1880428	3256.15603
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	648	0.6069777	1205.899106	2.6420805	2000-2012 –> 2013-2019	1.1883525	3257.06854
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	648	0.6069777	1205.899106	2.6420805	2000-2012 –> 2013-2019	1.1883525	3257.06854
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	648	0.5922331	1174.028301	2.7169734	2000-2012 –> 2013-2019	1.1671557	3199.26128
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	648	0.5922331	1174.028301	2.7169734	2000-2012 –> 2013-2019	1.1671557	3199.26128
Indo-Pacific	(27.95,28.05]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	648	0.5922331	1174.028301	2.7169734	2000-2012 –> 2013-2019	1.1671557	3199.26128
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1015	0.4567175	1303.553975	2.4275171	1982-1999 –> 2000-2012	0.9128334	3243.43396
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1015	0.4567175	1303.553975	2.4275171	1982-1999 –> 2000-2012	0.9128334	3243.43396
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1015	0.4567175	1303.553975	2.4275171	1982-1999 –> 2000-2012	0.9128334	3243.43396
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1015	0.4568373	1304.086554	2.4288325	1982-1999 –> 2000-2012	0.9129949	3244.24376
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1015	0.4570675	1305.109306	2.4292266	1982-1999 –> 2000-2012	0.9134348	3246.66276
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1015	0.4571160	1305.324491	2.4294579	1982-1999 –> 2000-2012	0.9135298	3247.18817
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1015	0.4571160	1305.324491	2.4294579	1982-1999 –> 2000-2012	0.9135298	3247.18817
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1015	0.4546336	1294.270504	2.4086220	1982-1999 –> 2000-2012	0.9095606	3226.22099
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1015	0.4546336	1294.270504	2.4086220	1982-1999 –> 2000-2012	0.9095606	3226.22099
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1015	0.4546336	1294.270504	2.4086220	1982-1999 –> 2000-2012	0.9095606	3226.22099
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	565	0.4757060	777.861154	2.6220126	2000-2012 –> 2013-2019	0.9324235	2081.41513
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	565	0.4757060	777.861154	2.6220126	2000-2012 –> 2013-2019	0.9324235	2081.41513
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	565	0.4757060	777.861154	2.6220126	2000-2012 –> 2013-2019	0.9324235	2081.41513
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate	565	0.4757604	777.990361	2.6230255	2000-2012 –> 2013-2019	0.9325977	2082.07691
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	565	0.4759048	778.333277	2.6231400	2000-2012 –> 2013-2019	0.9329724	2083.44258
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	565	0.4759340	778.402535	2.6232713	2000-2012 –> 2013-2019	0.9330500	2083.72703
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	565	0.4759340	778.402535	2.6232713	2000-2012 –> 2013-2019	0.9330500	2083.72703
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	565	0.4756293	777.678976	2.6025948	2000-2012 –> 2013-2019	0.9302630	2071.94948
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	565	0.4756293	777.678976	2.6025948	2000-2012 –> 2013-2019	0.9302630	2071.94948
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	565	0.4756293	777.678976	2.6025948	2000-2012 –> 2013-2019	0.9302630	2071.94948
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	9318	0.7764916	21742.998933	4.8420893	1982-1999 –> 2000-2012	1.5383986	51524.14490
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	9318	0.7764916	21742.998933	4.8420893	1982-1999 –> 2000-2012	1.5383986	51524.14490
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	9318	0.7764916	21742.998933	4.8420893	1982-1999 –> 2000-2012	1.5383986	51524.14490
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	9318	0.7771207	21758.092479	4.8370707	1982-1999 –> 2000-2012	1.5392513	51546.85223
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	9318	0.7775186	21767.632646	4.8314997	1982-1999 –> 2000-2012	1.5398228	51562.30395
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	9318	0.7775458	21768.284693	4.8316142	1982-1999 –> 2000-2012	1.5398616	51563.35068
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	9318	0.7775458	21768.284693	4.8316142	1982-1999 –> 2000-2012	1.5398616	51563.35068
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	9318	0.7775458	21768.284693	4.8316142	1982-1999 –> 2000-2012	1.5398616	51563.35068
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	9318	0.7744993	21695.121826	4.9051251	1982-1999 –> 2000-2012	1.5417070	51656.19560
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	9318	0.7744993	21695.121826	4.9051251	1982-1999 –> 2000-2012	1.5417070	51656.19560
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5093	0.7763424	11888.603170	4.2785787	2000-2012 –> 2013-2019	1.5528339	33631.60210
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5093	0.7763424	11888.603170	4.2785787	2000-2012 –> 2013-2019	1.5528339	33631.60210
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5093	0.7763424	11888.603170	4.2785787	2000-2012 –> 2013-2019	1.5528339	33631.60210
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5093	0.7773139	11901.342823	4.2794415	2000-2012 –> 2013-2019	1.5544347	33659.43530
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5093	0.7779155	11909.222793	4.2755260	2000-2012 –> 2013-2019	1.5554342	33676.85544
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5093	0.7779515	11909.693562	4.2760690	2000-2012 –> 2013-2019	1.5554973	33677.97826
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5093	0.7779515	11909.693562	4.2760690	2000-2012 –> 2013-2019	1.5554973	33677.97826
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	5093	0.7692867	11795.605640	4.3360410	2000-2012 –> 2013-2019	1.5437859	33490.72747
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	5093	0.7692867	11795.605640	4.3360410	2000-2012 –> 2013-2019	1.5437859	33490.72747
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	5093	0.7692867	11795.605640	4.3360410	2000-2012 –> 2013-2019	1.5437859	33490.72747
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	103	2.7471036	514.474048	11.2693383	1982-1999 –> 2000-2012	6.2350014	1216.87938
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	103	2.7385358	513.830562	11.4817285	1982-1999 –> 2000-2012	6.2369968	1217.01608
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	103	2.7254296	512.842306	11.4100082	1982-1999 –> 2000-2012	6.2111286	1215.08495
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	103	2.7471036	514.474048	11.2693383	1982-1999 –> 2000-2012	6.2350014	1216.87938
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	103	2.7471036	514.474048	11.2693383	1982-1999 –> 2000-2012	6.2350014	1216.87938
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	103	2.7247157	512.788337	11.4146613	1982-1999 –> 2000-2012	6.2078603	1214.84184
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	103	2.7247157	512.788337	11.4146613	1982-1999 –> 2000-2012	6.2078603	1214.84184
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	103	2.7247157	512.788337	11.4146613	1982-1999 –> 2000-2012	6.2078603	1214.84184
SO	(26,26.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	103	2.8011962	518.490922	11.6880130	1982-1999 –> 2000-2012	6.2394349	1217.19657
SO	(26,26.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	103	2.8011962	518.490922	11.6880130	1982-1999 –> 2000-2012	6.2394349	1217.19657
SO	(26,26.5]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	47	3.0953135	253.589806	8.2440313	2000-2012 –> 2013-2019	5.8773819	770.66925
SO	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	47	3.0953135	253.589806	8.2440313	2000-2012 –> 2013-2019	5.8773819	770.66925
SO	(26,26.5]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	47	3.0953135	253.589806	8.2440313	2000-2012 –> 2013-2019	5.8773819	770.66925
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	47	3.0856619	253.296243	8.0888582	2000-2012 –> 2013-2019	5.8241977	767.12680
SO	(26,26.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	47	3.0868892	253.333626	8.0486275	2000-2012 –> 2013-2019	5.8123188	766.17593
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	47	3.1990190	256.687576	7.9977611	2000-2012 –> 2013-2019	5.9461226	771.16162
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	47	3.0875443	253.353570	8.0376410	2000-2012 –> 2013-2019	5.8122599	766.14191
SO	(26,26.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	47	3.0875443	253.353570	8.0376410	2000-2012 –> 2013-2019	5.8122599	766.14191
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	47	3.0875443	253.353570	8.0376410	2000-2012 –> 2013-2019	5.8122599	766.14191
SO	(26,26.5]	cstar_tref ~ sal + temp + silicate + phosphate_star	47	3.1968068	254.622550	7.8513989	2000-2012 –> 2013-2019	5.9273003	765.84725
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	312	3.2153502	1628.209882	10.5226323	1982-1999 –> 2000-2012	6.7106987	3885.32203
SO	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	312	3.2153502	1628.209882	10.5226323	1982-1999 –> 2000-2012	6.7106987	3885.32203
SO	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	312	3.2153502	1628.209882	10.5226323	1982-1999 –> 2000-2012	6.7106987	3885.32203
SO	(26.5,26.75]	cstar_tref ~ temp + aou + phosphate + phosphate_star	312	3.2799039	1638.613652	10.5986533	1982-1999 –> 2000-2012	6.8388507	3908.87235
SO	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	312	3.2469942	1634.320979	10.2848760	1982-1999 –> 2000-2012	6.8034551	3905.99273
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + phosphate	312	3.2799039	1638.613652	10.5986533	1982-1999 –> 2000-2012	6.8388507	3908.87235
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	312	3.2799039	1638.613652	10.5986533	1982-1999 –> 2000-2012	6.8388507	3908.87235
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + phosphate_star	312	3.2799039	1638.613652	10.5986533	1982-1999 –> 2000-2012	6.8388507	3908.87235
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	312	3.2469942	1634.320979	10.2848760	1982-1999 –> 2000-2012	6.8034551	3905.99273
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	312	3.2469942	1634.320979	10.2848760	1982-1999 –> 2000-2012	6.8034551	3905.99273
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	133	3.2950584	708.622405	10.9719273	2000-2012 –> 2013-2019	6.6038186	2354.70195
SO	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	133	3.2899907	708.212988	10.8830055	2000-2012 –> 2013-2019	6.5766974	2350.11953
SO	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	133	3.3899758	716.176510	10.0861110	2000-2012 –> 2013-2019	6.6053260	2344.38639
SO	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	133	3.2903253	708.240039	10.8891344	2000-2012 –> 2013-2019	6.5782262	2350.37328
SO	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	133	3.2903253	708.240039	10.8891344	2000-2012 –> 2013-2019	6.5782262	2350.37328
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	133	3.2903253	708.240039	10.8891344	2000-2012 –> 2013-2019	6.5782262	2350.37328
SO	(26.5,26.75]	cstar_tref ~ sal + temp + silicate + phosphate_star	133	3.2932626	706.477397	10.9049735	2000-2012 –> 2013-2019	6.5827544	2346.91248
SO	(26.5,26.75]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	133	3.3148729	710.217175	10.3205968	2000-2012 –> 2013-2019	6.5618670	2344.53815
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	133	3.3148729	710.217175	10.3205968	2000-2012 –> 2013-2019	6.5618670	2344.53815
SO	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	133	3.3148729	710.217175	10.3205968	2000-2012 –> 2013-2019	6.5618670	2344.53815
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1061	2.3650556	4851.608393	11.6713433	1982-1999 –> 2000-2012	4.8527893	11926.44971
SO	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1061	2.3650556	4851.608393	11.6713433	1982-1999 –> 2000-2012	4.8527893	11926.44971
SO	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1061	2.3650556	4851.608393	11.6713433	1982-1999 –> 2000-2012	4.8527893	11926.44971
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1061	2.3658852	4850.352635	11.7790894	1982-1999 –> 2000-2012	4.8536773	11923.26504
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1061	2.3191394	4810.005845	10.6756905	1982-1999 –> 2000-2012	4.7542973	11820.12478
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate	1061	2.3658852	4850.352635	11.7790894	1982-1999 –> 2000-2012	4.8536773	11923.26504
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	1061	2.3658852	4850.352635	11.7790894	1982-1999 –> 2000-2012	4.8536773	11923.26504
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate_star	1061	2.3658852	4850.352635	11.7790894	1982-1999 –> 2000-2012	4.8536773	11923.26504
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1061	2.3191394	4810.005845	10.6756905	1982-1999 –> 2000-2012	4.7542973	11820.12478
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1061	2.3191394	4810.005845	10.6756905	1982-1999 –> 2000-2012	4.7542973	11820.12478
SO	(26.75,27]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	550	2.3941154	2535.147577	15.5973947	2000-2012 –> 2013-2019	4.7591710	7386.75597
SO	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	550	2.3941154	2535.147577	15.5973947	2000-2012 –> 2013-2019	4.7591710	7386.75597
SO	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	550	2.3941154	2535.147577	15.5973947	2000-2012 –> 2013-2019	4.7591710	7386.75597
SO	(26.75,27]	cstar_tref ~ temp + aou + phosphate + phosphate_star	550	2.3957372	2533.892462	15.4998931	2000-2012 –> 2013-2019	4.7616224	7384.24510
SO	(26.75,27]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	550	2.2748295	2478.928005	12.6508529	2000-2012 –> 2013-2019	4.5939689	7288.93385
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate	550	2.3957372	2533.892462	15.4998931	2000-2012 –> 2013-2019	4.7616224	7384.24510
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	550	2.3957372	2533.892462	15.4998931	2000-2012 –> 2013-2019	4.7616224	7384.24510
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + phosphate_star	550	2.3957372	2533.892462	15.4998931	2000-2012 –> 2013-2019	4.7616224	7384.24510
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	550	2.2748295	2478.928005	12.6508529	2000-2012 –> 2013-2019	4.5939689	7288.93385
SO	(26.75,27]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	550	2.2748295	2478.928005	12.6508529	2000-2012 –> 2013-2019	4.5939689	7288.93385
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	2513	1.7156657	9858.625769	16.4970589	1982-1999 –> 2000-2012	3.3035748	22808.83415
SO	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	2513	1.7156657	9858.625769	16.4970589	1982-1999 –> 2000-2012	3.3035748	22808.83415
SO	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	2513	1.7156657	9858.625769	16.4970589	1982-1999 –> 2000-2012	3.3035748	22808.83415
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	2513	1.7159114	9857.345457	16.6672621	1982-1999 –> 2000-2012	3.3256604	22899.48106
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2513	1.6615541	9697.553575	16.3323879	1982-1999 –> 2000-2012	3.2687331	22730.70242
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate	2513	1.7159114	9857.345457	16.6672621	1982-1999 –> 2000-2012	3.3256604	22899.48106
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	2513	1.7159114	9857.345457	16.6672621	1982-1999 –> 2000-2012	3.3256604	22899.48106
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate_star	2513	1.7159114	9857.345457	16.6672621	1982-1999 –> 2000-2012	3.3256604	22899.48106
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2513	1.6615541	9697.553575	16.3323879	1982-1999 –> 2000-2012	3.2687331	22730.70242
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2513	1.6615541	9697.553575	16.3323879	1982-1999 –> 2000-2012	3.2687331	22730.70242
SO	(27,27.25]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1286	1.9259139	5349.200280	11.1221020	2000-2012 –> 2013-2019	3.6415796	15207.82605
SO	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1286	1.9259139	5349.200280	11.1221020	2000-2012 –> 2013-2019	3.6415796	15207.82605
SO	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1286	1.9259139	5349.200280	11.1221020	2000-2012 –> 2013-2019	3.6415796	15207.82605
SO	(27,27.25]	cstar_tref ~ temp + aou + phosphate + phosphate_star	1286	1.9277877	5349.701445	11.5137595	2000-2012 –> 2013-2019	3.6436991	15207.04690
SO	(27,27.25]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1286	1.8504129	5246.341361	11.4263441	2000-2012 –> 2013-2019	3.5119670	14943.89494
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate	1286	1.9277877	5349.701445	11.5137595	2000-2012 –> 2013-2019	3.6436991	15207.04690
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate + phosphate_star	1286	1.9277877	5349.701445	11.5137595	2000-2012 –> 2013-2019	3.6436991	15207.04690
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + phosphate_star	1286	1.9277877	5349.701445	11.5137595	2000-2012 –> 2013-2019	3.6436991	15207.04690
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1286	1.8504129	5246.341361	11.4263441	2000-2012 –> 2013-2019	3.5119670	14943.89494
SO	(27,27.25]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1286	1.8504129	5246.341361	11.4263441	2000-2012 –> 2013-2019	3.5119670	14943.89494
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2731	1.6887194	10626.169048	10.6093166	1982-1999 –> 2000-2012	3.1260696	24195.64538
SO	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2731	1.6889628	10626.956131	10.5782629	1982-1999 –> 2000-2012	3.1276979	24203.75969
SO	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2731	1.6889628	10626.956131	10.5782629	1982-1999 –> 2000-2012	3.1276979	24203.75969
SO	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2731	1.6889628	10626.956131	10.5782629	1982-1999 –> 2000-2012	3.1276979	24203.75969
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	2731	1.6893569	10628.230775	10.5492429	1982-1999 –> 2000-2012	3.1276338	24202.61058
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate_star	2731	1.6893649	10626.256647	10.5431309	1982-1999 –> 2000-2012	3.1306658	24214.61540
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	2731	1.6893569	10628.230775	10.5492429	1982-1999 –> 2000-2012	3.1276338	24202.61058
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	2731	1.6893569	10628.230775	10.5492429	1982-1999 –> 2000-2012	3.1276338	24202.61058
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + silicate + phosphate	2731	1.6897063	10627.360242	10.5063777	1982-1999 –> 2000-2012	3.1326599	24224.43821
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + silicate + phosphate + phosphate_star	2731	1.6897063	10627.360242	10.5063777	1982-1999 –> 2000-2012	3.1326599	24224.43821
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1453	1.8445959	5916.663537	8.9149588	2000-2012 –> 2013-2019	3.5363278	16552.56778
SO	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1453	1.8486094	5922.979657	8.8767744	2000-2012 –> 2013-2019	3.5373288	16549.14871
SO	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1453	1.8467306	5920.024690	8.8926590	2000-2012 –> 2013-2019	3.5356934	16546.98082
SO	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1453	1.8467306	5920.024690	8.8926590	2000-2012 –> 2013-2019	3.5356934	16546.98082
SO	(27.25,27.5]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1453	1.8467306	5920.024690	8.8926590	2000-2012 –> 2013-2019	3.5356934	16546.98082
SO	(27.25,27.5]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1453	1.8579855	5937.681599	9.5635309	2000-2012 –> 2013-2019	3.5473425	16565.91237
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1453	1.8579855	5937.681599	9.5635309	2000-2012 –> 2013-2019	3.5473425	16565.91237
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1453	1.8579855	5937.681599	9.5635309	2000-2012 –> 2013-2019	3.5473425	16565.91237
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + silicate + phosphate	1453	1.8592539	5937.664674	9.5274690	2000-2012 –> 2013-2019	3.5489602	16565.02492
SO	(27.25,27.5]	cstar_tref ~ temp + oxygen + silicate + phosphate + phosphate_star	1453	1.8592539	5937.664674	9.5274690	2000-2012 –> 2013-2019	3.5489602	16565.02492
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3391	1.5320138	12530.327695	9.1542418	1982-1999 –> 2000-2012	2.8147095	27705.56033
SO	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	3391	1.5320138	12530.327695	9.1542418	1982-1999 –> 2000-2012	2.8147095	27705.56033
SO	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	3391	1.5320138	12530.327695	9.1542418	1982-1999 –> 2000-2012	2.8147095	27705.56033
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	3391	1.5317818	12529.300408	9.1490232	1982-1999 –> 2000-2012	2.8137341	27699.26353
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3391	1.5327196	12533.451505	9.1052349	1982-1999 –> 2000-2012	2.8175679	27723.92592
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	3391	1.5347080	12542.244087	8.6514924	1982-1999 –> 2000-2012	2.8178293	27720.49199
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	3391	1.5347080	12542.244087	8.6514924	1982-1999 –> 2000-2012	2.8178293	27720.49199
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	3391	1.5319189	12529.907533	9.1108749	1982-1999 –> 2000-2012	2.8155627	27711.85689
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	3391	1.5319189	12529.907533	9.1108749	1982-1999 –> 2000-2012	2.8155627	27711.85689
SO	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3391	1.5319189	12529.907533	9.1108749	1982-1999 –> 2000-2012	2.8155627	27711.85689
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate	1821	1.7554617	7229.243675	10.4000190	2000-2012 –> 2013-2019	3.2897571	19767.66403
SO	(27.5,27.75]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1821	1.7554240	7231.165465	10.3901005	2000-2012 –> 2013-2019	3.2874378	19761.49316
SO	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1821	1.7554240	7231.165465	10.3901005	2000-2012 –> 2013-2019	3.2874378	19761.49316
SO	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1821	1.7554240	7231.165465	10.3901005	2000-2012 –> 2013-2019	3.2874378	19761.49316
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1821	1.7645761	7250.104197	9.5282977	2000-2012 –> 2013-2019	3.2992842	19792.34828
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1821	1.7554279	7231.173500	10.3915870	2000-2012 –> 2013-2019	3.2872096	19760.47391
SO	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1821	1.7574181	7235.300257	10.3457829	2000-2012 –> 2013-2019	3.2901377	19768.75176
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1821	1.7560943	7232.555962	10.3552020	2000-2012 –> 2013-2019	3.2880132	19762.46349
SO	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1821	1.7560943	7232.555962	10.3552020	2000-2012 –> 2013-2019	3.2880132	19762.46349
SO	(27.5,27.75]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1821	1.7560943	7232.555962	10.3552020	2000-2012 –> 2013-2019	3.2880132	19762.46349
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1415	1.4740467	5127.668440	13.4027185	1982-1999 –> 2000-2012	2.7633662	11181.39033
SO	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1415	1.4740467	5127.668440	13.4027185	1982-1999 –> 2000-2012	2.7633662	11181.39033
SO	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1415	1.4740467	5127.668440	13.4027185	1982-1999 –> 2000-2012	2.7633662	11181.39033
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1415	1.4767361	5132.827180	13.4351222	1982-1999 –> 2000-2012	2.7731132	11206.25561
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1415	1.4814190	5141.787239	13.5369619	1982-1999 –> 2000-2012	2.7844305	11233.64330
SO	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1415	1.4825470	5143.941155	13.5477979	1982-1999 –> 2000-2012	2.7869620	11239.68368
SO	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1415	1.4825470	5143.941155	13.5477979	1982-1999 –> 2000-2012	2.7869620	11239.68368
SO	(27.75,27.85]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	1415	1.5002561	5177.545528	13.7566640	1982-1999 –> 2000-2012	2.7734180	11185.74101
SO	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	1415	1.5002561	5177.545528	13.7566640	1982-1999 –> 2000-2012	2.7734180	11185.74101
SO	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	1415	1.5002561	5177.545528	13.7566640	1982-1999 –> 2000-2012	2.7734180	11185.74101
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate	722	1.6145124	2752.670915	8.7482873	2000-2012 –> 2013-2019	3.1147336	7928.15039
SO	(27.75,27.85]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	722	1.5913038	2733.762782	8.6142494	2000-2012 –> 2013-2019	3.0653505	7861.43122
SO	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	722	1.5913038	2733.762782	8.6142494	2000-2012 –> 2013-2019	3.0653505	7861.43122
SO	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	722	1.5913038	2733.762782	8.6142494	2000-2012 –> 2013-2019	3.0653505	7861.43122
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate	722	1.5928542	2735.168954	8.5926742	2000-2012 –> 2013-2019	3.0695903	7867.99613
SO	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	722	1.5955525	2737.613017	8.5704585	2000-2012 –> 2013-2019	3.0769715	7879.40026
SO	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	722	1.5956695	2737.718886	8.5534574	2000-2012 –> 2013-2019	3.0782164	7881.66004
SO	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	722	1.5956695	2737.718886	8.5534574	2000-2012 –> 2013-2019	3.0782164	7881.66004
SO	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	722	1.5956695	2737.718886	8.5534574	2000-2012 –> 2013-2019	3.0782164	7881.66004
SO	(27.75,27.85]	cstar_tref ~ sal + temp + silicate + phosphate_star	722	1.5960379	2736.052251	8.4492259	2000-2012 –> 2013-2019	3.0932979	7905.94044
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1399	1.4396129	5003.709245	9.8030845	1982-1999 –> 2000-2012	2.8546010	11562.72636
SO	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate	1399	1.4396856	5001.850417	9.7403080	1982-1999 –> 2000-2012	2.8655377	11587.21281
SO	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1399	1.4396129	5003.709245	9.8030845	1982-1999 –> 2000-2012	2.8546010	11562.72636
SO	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1399	1.4396129	5003.709245	9.8030845	1982-1999 –> 2000-2012	2.8546010	11562.72636
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1399	1.4232287	4971.682542	7.2306924	1982-1999 –> 2000-2012	2.7624199	11326.66498
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1399	1.4614937	5045.916298	9.9996442	1982-1999 –> 2000-2012	2.9026638	11672.88014
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1399	1.4606176	5044.238481	10.1638248	1982-1999 –> 2000-2012	2.9062341	11682.61860
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1399	1.4232287	4971.682542	7.2306924	1982-1999 –> 2000-2012	2.7624199	11326.66498
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1399	1.4232287	4971.682542	7.2306924	1982-1999 –> 2000-2012	2.7624199	11326.66498
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1399	1.2912832	4699.460807	8.0313297	1982-1999 –> 2000-2012	2.5525237	10832.19404
SO	(27.85,27.95]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	709	1.6286558	2717.691477	10.1355952	2000-2012 –> 2013-2019	3.0682688	7721.40072
SO	(27.85,27.95]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	709	1.6286558	2717.691477	10.1355952	2000-2012 –> 2013-2019	3.0682688	7721.40072
SO	(27.85,27.95]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	709	1.6432910	2730.376750	7.3480083	2000-2012 –> 2013-2019	3.0665196	7702.05929
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	709	1.6432910	2730.376750	7.3480083	2000-2012 –> 2013-2019	3.0665196	7702.05929
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	709	1.6432910	2730.376750	7.3480083	2000-2012 –> 2013-2019	3.0665196	7702.05929
SO	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate	709	1.4996937	2600.714760	8.5827164	2000-2012 –> 2013-2019	2.7909769	7300.17557
SO	(27.85,27.95]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	709	1.5409988	2639.241700	8.7822837	2000-2012 –> 2013-2019	2.9762393	7634.43986
SO	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate	709	1.5425225	2638.643090	8.9509076	2000-2012 –> 2013-2019	3.0269454	7726.11609
SO	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	709	1.5409988	2639.241700	8.7822837	2000-2012 –> 2013-2019	2.9762393	7634.43986
SO	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	709	1.5409988	2639.241700	8.7822837	2000-2012 –> 2013-2019	2.9762393	7634.43986
SO	(27.95,28.05]	cstar_tref ~ sal + aou + phosphate + phosphate_star	1786	1.7323419	7043.170193	10.1736604	1982-1999 –> 2000-2012	3.2195838	16087.26729
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1786	1.7234592	7026.807513	9.6018392	1982-1999 –> 2000-2012	3.1951756	16020.70736
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + phosphate	1786	1.7323419	7043.170193	10.1736604	1982-1999 –> 2000-2012	3.2195838	16087.26729
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	1786	1.7323419	7043.170193	10.1736604	1982-1999 –> 2000-2012	3.2195838	16087.26729
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1786	1.7234592	7026.807513	9.6018392	1982-1999 –> 2000-2012	3.1951756	16020.70736
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1786	1.7234592	7026.807513	9.6018392	1982-1999 –> 2000-2012	3.1951756	16020.70736
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1786	1.5620816	6675.629386	9.1134438	1982-1999 –> 2000-2012	2.8752317	15102.49093
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1786	1.5620816	6675.629386	9.1134438	1982-1999 –> 2000-2012	2.8752317	15102.49093
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1786	1.5620816	6675.629386	9.1134438	1982-1999 –> 2000-2012	2.8752317	15102.49093
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1786	1.5619964	6675.434498	7.6946622	1982-1999 –> 2000-2012	2.8752447	15102.66796
SO	(27.95,28.05]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	986	1.8071065	3979.032373	8.8048453	2000-2012 –> 2013-2019	3.5305658	11005.83989
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate	986	1.8090331	3979.133623	8.8118450	2000-2012 –> 2013-2019	3.5496875	11039.40270
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	986	1.8071065	3979.032373	8.8048453	2000-2012 –> 2013-2019	3.5305658	11005.83989
SO	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	986	1.8071065	3979.032373	8.8048453	2000-2012 –> 2013-2019	3.5305658	11005.83989
SO	(27.95,28.05]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	986	1.6936583	3851.175591	8.4129789	2000-2012 –> 2013-2019	3.2557399	10526.80498
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	986	1.6936583	3851.175591	8.4129789	2000-2012 –> 2013-2019	3.2557399	10526.80498
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	986	1.6936583	3851.175591	8.4129789	2000-2012 –> 2013-2019	3.2557399	10526.80498
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate	986	1.6282041	3773.452640	8.1160135	2000-2012 –> 2013-2019	3.1902005	10448.88714
SO	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	986	1.8234743	3996.813244	8.8739614	2000-2012 –> 2013-2019	3.5641323	11059.08975
SO	(27.95,28.05]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	986	1.8234743	3996.813244	8.8739614	2000-2012 –> 2013-2019	3.5641323	11059.08975
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1071	1.1927699	3430.954357	10.1729214	1982-1999 –> 2000-2012	2.2759473	7983.43376
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate	1071	1.1929018	3429.191146	10.1579725	1982-1999 –> 2000-2012	2.2787248	7987.05738
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	1071	1.1929018	3429.191146	10.1579725	1982-1999 –> 2000-2012	2.2787248	7987.05738
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate_star	1071	1.1929018	3429.191146	10.1579725	1982-1999 –> 2000-2012	2.2787248	7987.05738
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1071	1.1927699	3430.954357	10.1729214	1982-1999 –> 2000-2012	2.2759473	7983.43376
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1071	1.1927699	3430.954357	10.1729214	1982-1999 –> 2000-2012	2.2759473	7983.43376
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	1071	1.0487379	3155.298539	9.0027805	1982-1999 –> 2000-2012	2.0069805	7336.68729
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	1071	1.0487379	3155.298539	9.0027805	1982-1999 –> 2000-2012	2.0069805	7336.68729
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	1071	1.0487379	3155.298539	9.0027805	1982-1999 –> 2000-2012	2.0069805	7336.68729
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1071	1.0700400	3198.371237	9.2962436	1982-1999 –> 2000-2012	2.0713151	7512.77554
SO	(28.05,28.1]	cstar_tref ~ sal + aou + phosphate + phosphate_star	606	1.4121339	2150.017064	11.3700248	2000-2012 –> 2013-2019	2.6050356	5579.20821
SO	(28.05,28.1]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	606	1.4121202	2152.005351	11.3570568	2000-2012 –> 2013-2019	2.6048901	5582.95971
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate	606	1.4121339	2150.017064	11.3700248	2000-2012 –> 2013-2019	2.6050356	5579.20821
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + phosphate + phosphate_star	606	1.4121339	2150.017064	11.3700248	2000-2012 –> 2013-2019	2.6050356	5579.20821
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	606	1.4121202	2152.005351	11.3570568	2000-2012 –> 2013-2019	2.6048901	5582.95971
SO	(28.05,28.1]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	606	1.4121202	2152.005351	11.3570568	2000-2012 –> 2013-2019	2.6048901	5582.95971
SO	(28.05,28.1]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	606	1.2283070	1982.985334	10.1816140	2000-2012 –> 2013-2019	2.2770449	5138.28387
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	606	1.2283070	1982.985334	10.1816140	2000-2012 –> 2013-2019	2.2770449	5138.28387
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	606	1.2283070	1982.985334	10.1816140	2000-2012 –> 2013-2019	2.2770449	5138.28387
SO	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate	606	1.2597549	2013.625136	10.8095062	2000-2012 –> 2013-2019	2.3297949	5211.99637
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5309	1.1018498	16110.133861	6.1005720	1982-1999 –> 2000-2012	2.0809310	36696.92150
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	5309	1.1018770	16108.395277	6.0859562	1982-1999 –> 2000-2012	2.0912319	36846.81840
SO	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	5309	1.1018498	16110.133861	6.1005720	1982-1999 –> 2000-2012	2.0809310	36696.92150
SO	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	5309	1.1018498	16110.133861	6.1005720	1982-1999 –> 2000-2012	2.0809310	36696.92150
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	5309	1.1019797	16111.385624	6.0983454	1982-1999 –> 2000-2012	2.0811839	36700.02157
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5309	1.1018543	16110.177014	6.0992752	1982-1999 –> 2000-2012	2.0810102	36698.08779
SO	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	5309	1.1019213	16110.822324	6.0983887	1982-1999 –> 2000-2012	2.0811392	36699.66564
SO	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	5309	1.1019213	16110.822324	6.0983887	1982-1999 –> 2000-2012	2.0811392	36699.66564
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate	5309	1.1162259	16245.773437	6.3180442	1982-1999 –> 2000-2012	2.0965350	36849.00866
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5309	1.1019213	16110.822324	6.0983887	1982-1999 –> 2000-2012	2.0811392	36699.66564
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2711	1.1918719	8659.181813	6.0524338	2000-2012 –> 2013-2019	2.2937217	24769.31567
SO	(28.1, Inf]	cstar_tref ~ sal + aou + silicate + phosphate_star	2711	1.1946469	8669.790861	6.0803943	2000-2012 –> 2013-2019	2.2965238	24778.18614
SO	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	2711	1.1918719	8659.181813	6.0524338	2000-2012 –> 2013-2019	2.2937217	24769.31567
SO	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	2711	1.1918719	8659.181813	6.0524338	2000-2012 –> 2013-2019	2.2937217	24769.31567
SO	(28.1, Inf]	cstar_tref ~ sal + oxygen + silicate + phosphate_star	2711	1.1919888	8657.713695	6.0393123	2000-2012 –> 2013-2019	2.2997417	24822.58083
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	2711	1.1918917	8659.271671	6.0538324	2000-2012 –> 2013-2019	2.2938714	24770.65730
SO	(28.1, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2711	1.1918665	8659.157262	6.0517786	2000-2012 –> 2013-2019	2.2937208	24769.33428
SO	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	2711	1.1918732	8659.187802	6.0524883	2000-2012 –> 2013-2019	2.2937945	24770.01013
SO	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	2711	1.1918732	8659.187802	6.0524883	2000-2012 –> 2013-2019	2.2937945	24770.01013
SO	(28.1, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2711	1.1918732	8659.187802	6.0524883	2000-2012 –> 2013-2019	2.2937945	24770.01013
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	395	0.4692853	537.291343	1.7413747	1982-1999 –> 2000-2012	0.9103638	1176.91460
SO	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	395	0.4692853	537.291343	1.7413747	1982-1999 –> 2000-2012	0.9103638	1176.91460
SO	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	395	0.4692853	537.291343	1.7413747	1982-1999 –> 2000-2012	0.9103638	1176.91460
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	395	0.4688350	536.532945	1.2066978	1982-1999 –> 2000-2012	0.8955957	1141.77071
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	395	0.4707828	539.808215	1.7513525	1982-1999 –> 2000-2012	0.9131138	1182.38618
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	395	0.4688350	536.532945	1.2066978	1982-1999 –> 2000-2012	0.8955957	1141.77071
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	395	0.4688350	536.532945	1.2066978	1982-1999 –> 2000-2012	0.8955957	1141.77071
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	395	0.4711414	540.409822	1.7546095	1982-1999 –> 2000-2012	0.9140250	1184.28863
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	395	0.4711414	540.409822	1.7546095	1982-1999 –> 2000-2012	0.9140250	1184.28863
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	395	0.4711414	540.409822	1.7546095	1982-1999 –> 2000-2012	0.9140250	1184.28863
SO	(28.1,28.15]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	209	0.5007130	317.976471	2.3778112	2000-2012 –> 2013-2019	0.9699983	855.26781
SO	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	209	0.5007130	317.976471	2.3778112	2000-2012 –> 2013-2019	0.9699983	855.26781
SO	(28.1,28.15]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	209	0.5007130	317.976471	2.3778112	2000-2012 –> 2013-2019	0.9699983	855.26781
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	209	0.4863454	305.806779	1.9335059	2000-2012 –> 2013-2019	0.9551804	842.33972
SO	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate	209	0.5027540	319.676791	2.3840486	2000-2012 –> 2013-2019	0.9735367	859.48501
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	209	0.4863454	305.806779	1.9335059	2000-2012 –> 2013-2019	0.9551804	842.33972
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	209	0.4863454	305.806779	1.9335059	2000-2012 –> 2013-2019	0.9551804	842.33972
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate	209	0.4928520	311.361923	2.0181406	2000-2012 –> 2013-2019	0.9605446	845.96764
SO	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	209	0.5029754	319.860825	2.3841073	2000-2012 –> 2013-2019	0.9741168	860.27065
SO	(28.1,28.15]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	209	0.5029754	319.860825	2.3841073	2000-2012 –> 2013-2019	0.9741168	860.27065
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	385	0.3060639	194.932446	1.0624911	1982-1999 –> 2000-2012	0.6130546	442.64918
SO	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	385	0.3060639	194.932446	1.0624911	1982-1999 –> 2000-2012	0.6130546	442.64918
SO	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	385	0.3060639	194.932446	1.0624911	1982-1999 –> 2000-2012	0.6130546	442.64918
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	385	0.2958284	168.741280	1.2331036	1982-1999 –> 2000-2012	0.5978993	400.59322
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + silicate + phosphate	385	0.3068525	196.913871	1.0656804	1982-1999 –> 2000-2012	0.6144770	446.65572
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	385	0.2958284	168.741280	1.2331036	1982-1999 –> 2000-2012	0.5978993	400.59322
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	385	0.2958284	168.741280	1.2331036	1982-1999 –> 2000-2012	0.5978993	400.59322
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	385	0.3072492	197.908741	1.0678544	1982-1999 –> 2000-2012	0.6153464	449.15828
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	385	0.3072492	197.908741	1.0678544	1982-1999 –> 2000-2012	0.6153464	449.15828
SO	(28.15,28.2]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	385	0.3072492	197.908741	1.0678544	1982-1999 –> 2000-2012	0.6153464	449.15828
SO	(28.15,28.2]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	183	0.3423788	141.038937	0.8031784	2000-2012 –> 2013-2019	0.6484427	335.97138
SO	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	183	0.3423788	141.038937	0.8031784	2000-2012 –> 2013-2019	0.6484427	335.97138
SO	(28.15,28.2]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	183	0.3423788	141.038937	0.8031784	2000-2012 –> 2013-2019	0.6484427	335.97138
SO	(28.15,28.2]	cstar_tref ~ sal + temp + aou + phosphate + phosphate_star	183	0.3300672	127.635476	0.8682035	2000-2012 –> 2013-2019	0.6258955	296.37676
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + phosphate	183	0.3300672	127.635476	0.8682035	2000-2012 –> 2013-2019	0.6258955	296.37676
SO	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + phosphate_star	183	0.3300672	127.635476	0.8682035	2000-2012 –> 2013-2019	0.6258955	296.37676
SO	(28.15,28.2]	cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star	183	0.3337812	131.730824	0.8025278	2000-2012 –> 2013-2019	0.6459444	341.85710
SO	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + phosphate_star	183	0.3366745	132.889698	0.8481580	2000-2012 –> 2013-2019	0.6489057	341.18383
SO	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate	183	0.3337812	131.730824	0.8025278	2000-2012 –> 2013-2019	0.6459444	341.85710
SO	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + silicate + phosphate_star	183	0.3337812	131.730824	0.8025278	2000-2012 –> 2013-2019	0.6459444	341.85710
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	1738	0.4079366	1827.497744	1.6373659	1982-1999 –> 2000-2012	0.7531403	3596.18936
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1738	0.3918565	1689.706304	2.1137168	1982-1999 –> 2000-2012	0.7169227	3163.23502
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1738	0.3918565	1689.706304	2.1137168	1982-1999 –> 2000-2012	0.7169227	3163.23502
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1738	0.3918565	1689.706304	2.1137168	1982-1999 –> 2000-2012	0.7169227	3163.23502
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + silicate + phosphate	1738	0.4338139	2041.285083	2.8272800	1982-1999 –> 2000-2012	0.8013633	4120.07926
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1738	0.3920831	1691.715817	2.1111271	1982-1999 –> 2000-2012	0.7173957	3168.99039
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1738	0.3910307	1682.373485	2.1070558	1982-1999 –> 2000-2012	0.7153662	3144.77632
SO	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1738	0.3914217	1685.847473	2.1087884	1982-1999 –> 2000-2012	0.7160679	3152.98326
SO	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1738	0.3914217	1685.847473	2.1087884	1982-1999 –> 2000-2012	0.7160679	3152.98326
SO	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1738	0.3914217	1685.847473	2.1087884	1982-1999 –> 2000-2012	0.7160679	3152.98326
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate	1005	0.4551207	1281.809192	2.1633223	2000-2012 –> 2013-2019	0.8630573	3109.30694
SO	(28.2, Inf]	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1005	0.4243307	1143.009619	2.6684674	2000-2012 –> 2013-2019	0.8161872	2832.71592
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate	1005	0.4243307	1143.009619	2.6684674	2000-2012 –> 2013-2019	0.8161872	2832.71592
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + silicate + phosphate_star	1005	0.4243307	1143.009619	2.6684674	2000-2012 –> 2013-2019	0.8161872	2832.71592
SO	(28.2, Inf]	cstar_tref ~ sal + oxygen + silicate + phosphate	1005	0.4467609	1244.545547	3.0434845	2000-2012 –> 2013-2019	0.8805748	3285.83063
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate	1005	0.4245958	1144.264968	2.6663826	2000-2012 –> 2013-2019	0.8166789	2835.98078
SO	(28.2, Inf]	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1005	0.4237274	1140.150063	2.6659440	2000-2012 –> 2013-2019	0.8147581	2822.52355
SO	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate	1005	0.4240694	1141.771704	2.6663305	2000-2012 –> 2013-2019	0.8154911	2827.61918
SO	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star	1005	0.4240694	1141.771704	2.6663305	2000-2012 –> 2013-2019	0.8154911	2827.61918
SO	(28.2, Inf]	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1005	0.4240694	1141.771704	2.6663305	2000-2012 –> 2013-2019	0.8154911	2827.61918

5.3.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2012	2.3836462	1200.27892
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.2646672	724.34967
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	7.2252898	13816.35858
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	7.2778419	8708.50061
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	6.3274159	16424.27013
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	6.6245449	10512.37252
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	3.7333080	19644.38825
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.6266418	14508.16806
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.7103108	15993.69101
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	4.4730728	11883.12801
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	5.0977111	18081.78399
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	6.4447823	12875.55827
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	4.4794455	21626.51137
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	4.9914877	14800.62413
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	3.3065508	6491.76442
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	3.3402240	4201.05452
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	5.7296585	8226.78057
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	5.8115872	5511.60653
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	6.8637625	9164.07543
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	5.9473543	5620.75773
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	0.3312265	-956.88019
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	0.4536295	-97.65149
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	0.2821412	-1404.63618
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	0.2754377	-889.64136
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.6814372	2102.17259
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.6589650	1023.13688
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.8891512	2705.74148
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.8378951	1429.51216
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.7367128	81726.80280
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	12.1521862	52377.17875
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	9.0333120	76095.23176
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	9.2886584	49120.79174
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.8457101	56777.06786
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	8.3490320	37391.88486
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.7175511	60525.08512
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.7578995	40428.27501
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	6.5835373	51969.75089
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	8.0122490	36708.59511
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	5.9442621	41264.00013
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	6.6427494	28009.58830
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	3.5392634	30346.84664
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	4.0591368	20438.18265
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	2.5985200	9754.94152
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	2.8396011	6695.74744
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	2.5432851	14282.31348
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	2.8759311	9822.19729
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	1.1189786	4847.32484
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	1.1808741	3236.51093
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	0.9120671	3239.42477
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	0.9319730	2079.30674
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	1.5397269	51568.40341
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	1.5510723	33605.92360
SO	(26,26.5]	1982-1999 –> 2000-2012	6.2255580	1216.16578
SO	(26,26.5]	2000-2012 –> 2013-2019	5.8578865	768.07451
SO	(26.5,26.75]	1982-1999 –> 2000-2012	6.7897864	3900.94337
SO	(26.5,26.75]	2000-2012 –> 2013-2019	6.5788876	2348.08546
SO	(26.75,27]	1982-1999 –> 2000-2012	4.8235969	11893.27836
SO	(26.75,27]	2000-2012 –> 2013-2019	4.7105909	7356.40498
SO	(27,27.25]	1982-1999 –> 2000-2012	3.3019565	22821.65340
SO	(27,27.25]	2000-2012 –> 2013-2019	3.6035436	15128.33506
SO	(27.25,27.5]	1982-1999 –> 2000-2012	3.1288050	24207.82480
SO	(27.25,27.5]	2000-2012 –> 2013-2019	3.5420684	16557.04459
SO	(27.5,27.75]	1982-1999 –> 2000-2012	2.8157777	27711.64251
SO	(27.5,27.75]	2000-2012 –> 2013-2019	3.2892742	19766.11079
SO	(27.75,27.85]	1982-1999 –> 2000-2012	2.7741820	11202.06603
SO	(27.75,27.85]	2000-2012 –> 2013-2019	3.0785294	7881.07610
SO	(27.85,27.95]	1982-1999 –> 2000-2012	2.8078022	11444.30796
SO	(27.85,27.95]	2000-2012 –> 2013-2019	3.0082737	7647.85905
SO	(27.95,28.05]	1982-1999 –> 2000-2012	3.0745218	15673.40647
SO	(27.95,28.05]	2000-2012 –> 2013-2019	3.4227070	10820.44039
SO	(28.05,28.1]	1982-1999 –> 2000-2012	2.1756273	7743.43108
SO	(28.05,28.1]	2000-2012 –> 2013-2019	2.4790707	5411.33517
SO	(28.1, Inf]	1982-1999 –> 2000-2012	2.0836171	36728.36979
SO	(28.1, Inf]	2000-2012 –> 2013-2019	2.2946407	24775.87359
SO	(28.1,28.15]	1982-1999 –> 2000-2012	0.9073067	1169.13080
SO	(28.1,28.15]	2000-2012 –> 2013-2019	0.9657851	851.88166
SO	(28.15,28.2]	1982-1999 –> 2000-2012	0.6093378	432.38577
SO	(28.15,28.2]	2000-2012 –> 2013-2019	0.6409754	326.37995
SO	(28.2, Inf]	1982-1999 –> 2000-2012	0.7286237	3297.86902
SO	(28.2, Inf]	2000-2012 –> 2013-2019	0.8270104	2903.46472

5.4 Target variable coefficients

A data frame to map the target variable is prepared.

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

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

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

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

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.5 Plot selected model residuals

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

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

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

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

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

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

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

5.6 Cant coeffcients

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

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

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

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

5.7 Write files

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

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

lm_best %>%
  write_csv(paste(path_version_data,
                  "lm_best.csv",
                  sep = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 2 - 5).

6.1.1 All models

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

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.1.2 Best models

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

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Past versions of rmse_correlation_across_eras_all_models-1.png

Version	Author	Date
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	oxygen	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	6	5	5	6	10	10	7
(26.5,26.75]	8	5	7	6	7	10	7
(26.75,27]	10	6	7	6	4	10	4
(27,27.25]	7	4	7	6	10	9	6
(27.25,27.5]	10	7	7	6	10	3	3
(27.5,27.75]	4	7	6	6	10	4	10
(27.75,27.85]	8	5	6	7	10	7	7
(27.85,27.95]	10	7	7	6	3	10	3
(27.95,28.05]	4	6	7	6	4	10	10
(28.05,28.1]	10	7	7	6	3	10	3
(28.1,28.15]	7	6	6	6	8	10	7
(28.15,28.2]	6	5	6	6	9	10	7
(28.2, Inf]	6	4	6	6	10	10	6
total	106.00	81.00	91.00	85.00	108.00	116.00	83.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	7	6	6	6	10	8	7
(26,26.5]	5	4	6	6	10	10	7
(26.5,26.75]	8	6	6	6	7	10	7
(26.75,27]	9	4	7	6	7	10	6
(27,27.25]	7	4	6	6	10	10	5
(27.25,27.5]	10	6	7	5	10	5	4
(27.5,27.75]	5	5	6	7	10	4	10
(27.75,27.85]	10	7	7	5	10	4	4
(27.85,27.95]	10	7	7	6	3	10	3
(27.95,28.05]	5	5	6	7	5	10	10
(28.05,28.1]	10	7	7	6	10	3	3
(28.1,28.15]	7	6	6	6	10	8	7
(28.15,28.2]	6	5	6	6	9	10	7
(28.2, Inf]	7	6	6	6	10	8	7
total	106.00	78.00	89.00	84.00	121.00	110.00	87.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	7	5	7	6	8	10	7
(26.5,26.75]	10	7	7	5	4	10	4
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	7	6	7	6	7	10	7
(27.5,27.75]	6	5	6	6	10	10	5
(27.75,27.85]	10	6	6	7	7	7	7
(27.85,27.95]	10	7	6	6	7	7	7
(27.95,28.05]	8	5	6	7	7	10	7
(28.05,28.1]	8	5	6	7	7	10	7
(28.1, Inf]	7	6	6	6	8	10	7
total	103.00	73.00	78.00	74.00	81.00	93.00	81.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	10	7	7	6	10	3	3
(26,26.5]	6	5	6	6	9	10	7
(26.5,26.75]	10	7	7	6	3	10	3
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	7	6	7	6	7	10	7
(27.5,27.75]	6	5	6	6	10	10	5
(27.75,27.85]	10	6	6	7	7	7	7
(27.85,27.95]	10	6	5	5	10	7	6
(27.95,28.05]	8	6	6	6	7	10	7
(28.05,28.1]	8	6	6	6	7	10	7
(28.1, Inf]	8	6	6	6	7	10	7
total	103.00	74.00	76.00	72.00	83.00	93.00	79.00
SO - 1982-1999 --> 2000-2012
(26,26.5]	7	5	6	7	8	7	10
(26.5,26.75]	10	7	7	6	3	3	10
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	5	6	6	6	4	10	10
(27.5,27.75]	7	6	6	6	10	8	7
(27.75,27.85]	8	5	6	7	7	10	7
(27.85,27.95]	10	6	5	5	10	7	6
(27.95,28.05]	10	7	7	5	10	4	4
(28.05,28.1]	10	8	6	5	10	4	4
(28.1, Inf]	6	4	6	6	10	10	6
(28.1,28.15]	7	6	7	6	10	7	7
(28.15,28.2]	7	6	7	6	10	7	7
(28.2, Inf]	6	5	7	5	10	10	5
total	113.00	85.00	90.00	82.00	108.00	93.00	103.00
SO - 2000-2012 --> 2013-2019
(26,26.5]	6	5	5	7	10	9	7
(26.5,26.75]	6	5	6	6	7	9	10
(26.75,27]	10	7	7	6	3	3	10
(27,27.25]	10	7	7	6	3	3	10
(27.25,27.5]	5	6	7	5	5	10	10
(27.5,27.75]	7	4	7	6	10	9	6
(27.75,27.85]	6	4	6	6	10	10	6
(27.85,27.95]	10	7	5	6	6	7	8
(27.95,28.05]	8	7	6	5	10	7	6
(28.05,28.1]	10	7	7	5	10	4	4
(28.1, Inf]	6	5	5	7	10	10	5
(28.1,28.15]	8	6	7	5	10	7	7
(28.15,28.2]	10	7	6	7	6	6	7
(28.2, Inf]	6	5	7	5	10	10	5
total	108.00	82.00	88.00	82.00	110.00	104.00	101.00

6.4 RMSE alternatives

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

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

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

other attached packages:
 [1] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

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