eMLR - model fitting

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Last updated: 2021-07-19

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.

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R Markdown file: up-to-date

Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Environment: empty

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

Seed: set.seed(20200707)

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Session information: recorded

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Cache: none

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

File paths: relative

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Repository version: b2b37aa

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version b2b37aa. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:

Ignored files:
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
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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, aou, nitrate, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_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") &
#            str_detect(lm_coeff_filter, "nitrate")) %>%
#   select(-lm_coeff_filter)

# 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, "phosphate") &
#            str_detect(lm_coeff_filter, "oxygen")) %>%
#   select(-lm_coeff_filter)

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

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

# 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)

# 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)[100]
        
        # 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)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))){
            i_vif_max <- as.double("NA")
          } else{
          i_vif_max <- max(vif(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,
              vif_max = i_vif_max,
              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_vif_max,
  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

# lm_all_fitted <- lm_all_fitted_1

# lm_all_fitted <-
#   read_csv(paste(path_version_data,
#                   "lm_all_fitted.csv",
#                   sep = ""))

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

5.3 VIF threshold

To avoid multicollinearity among predictors, models were excluded with a VIF above:

• 1000

After removing models affected by multicollinearity, the targeted number of MLRs (10) was undercut in following fitting units:

# remove models with predictors fitted as NA
lm_all_fitted_wide <- lm_all_fitted_wide %>%
  filter(vif_max <= params_local$vif_max)

# lm_all_fitted_wide_check <- lm_all_fitted_wide %>%
#   group_by(era, basin, gamma_slab) %>% 
#   count() 
#   filter(n < params_local$MLR_number)

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide %>%
  select(basin, gamma_slab, n_predictors, model, era, nr_obs, rmse, aic, vif_max, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    rmse_lag = lag(rmse),
    aic_sum = aic + lag(aic),
    vif_max_sum = vif_max + lag(vif_max)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na() %>%
  filter(eras != "1982-1999 --> 2010-2019",
         eras != "1982-1999 --> 2008-2019")

#filter tripairs
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  mutate(rmse = round(rmse, digits = 7), rmse_lag = round(rmse_lag, digits = 7)) %>%
  group_by(basin, gamma_slab, eras, rmse) %>%
  sample_n(1) %>%
  ungroup()

# calculate rank for each era
lm_all_fitted_wide_eras <- lm_all_fitted_wide_eras %>%
  group_by(eras, basin, gamma_slab) %>% 
  mutate(rank = rank(rmse, ties.method="first"),
         rank_sum = rank + rank(rmse_lag, ties.method="first")) %>%
  ungroup()

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	477	4.8915958	2882.160	362.521538	18.043546	1982-1999 –> 2000-2009	9.072544	4.1809487	7050.697	590.049243	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	477	5.0145913	2905.851	373.422189	16.947335	1982-1999 –> 2000-2009	9.209513	4.1949219	7079.253	608.695850	4	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	477	4.9681587	2896.976	197.799729	19.905021	1982-1999 –> 2000-2009	9.423518	4.4553597	7158.198	328.047326	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	477	4.9750212	2896.293	197.322977	19.926476	1982-1999 –> 2000-2009	9.513181	4.5381597	7182.362	324.819457	3	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	477	5.0494179	2912.454	233.050053	19.441929	1982-1999 –> 2000-2009	9.565555	4.5161373	7193.430	363.480981	5	10
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	477	5.1037370	2920.662	201.817646	18.960116	1982-1999 –> 2000-2009	9.637290	4.5335532	7205.250	331.630034	6	12
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	477	5.3468041	2967.047	373.465302	17.499937	1982-1999 –> 2000-2009	9.754350	4.4075455	7212.537	609.944671	8	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	477	5.1851515	2937.760	209.318189	19.433364	1982-1999 –> 2000-2009	9.868973	4.6838219	7271.891	339.569338	7	15
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	477	5.4360151	2980.834	201.767119	18.342691	1982-1999 –> 2000-2009	10.156740	4.7207249	7324.407	331.950823	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	477	5.3801280	2972.975	278.086313	19.696278	1982-1999 –> 2000-2009	10.239233	4.8591052	7360.673	465.422211	9	21
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	589	4.9797151	3576.639	230.841698	25.776713	2000-2009 –> 2010-2019	9.871311	4.8915958	6458.799	593.363236	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	589	5.0249301	3587.286	235.825161	25.049117	2000-2009 –> 2010-2019	10.039521	5.0145913	6493.137	609.247349	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	589	5.4281484	3678.212	221.012670	38.803071	2000-2009 –> 2010-2019	10.396307	4.9681587	6575.189	418.812398	6	8
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	589	5.4314267	3676.923	192.227594	37.953122	2000-2009 –> 2010-2019	10.406448	4.9750212	6573.217	389.550571	7	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	589	5.4470619	3682.310	211.382529	38.396342	2000-2009 –> 2010-2019	10.496480	5.0494179	6594.763	444.432582	8	13
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	589	5.4601459	3683.136	194.424362	36.898190	2000-2009 –> 2010-2019	10.563883	5.1037370	6603.797	396.242008	9	15
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	589	5.3021513	3650.546	235.664454	18.938210	2000-2009 –> 2010-2019	10.648955	5.3468041	6617.594	609.129756	5	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	589	5.5452089	3703.346	201.552401	36.599801	2000-2009 –> 2010-2019	10.730360	5.1851515	6641.106	410.870590	10	17
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	589	5.1792566	3622.921	214.164312	30.217499	2000-2009 –> 2010-2019	10.941110	5.7618537	6661.290	410.540197	3	15
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	589	5.1848436	3622.191	148.000924	29.239812	2000-2009 –> 2010-2019	10.999975	5.8151311	6667.340	284.605591	4	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	493	5.9611025	3173.335	177.971408	16.457804	1982-1999 –> 2000-2009	13.011143	7.0500407	8285.757	250.703685	1	3
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	493	6.1748606	3208.073	202.558146	20.668794	1982-1999 –> 2000-2009	13.220017	7.0451563	8319.447	298.484265	6	7
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	493	6.2162926	3214.667	379.352750	16.179258	1982-1999 –> 2000-2009	13.289925	7.0736321	8332.139	499.901563	7	10
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	493	6.0807202	3192.925	183.050526	16.356802	1982-1999 –> 2000-2009	13.295388	7.2146678	8340.247	253.628069	3	9
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	493	6.1055608	3196.945	358.811574	16.564606	1982-1999 –> 2000-2009	13.334741	7.2291808	8347.306	478.655916	4	11
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	493	6.1219999	3199.596	199.338513	16.956925	1982-1999 –> 2000-2009	13.352847	7.2308469	8350.305	301.272658	5	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	493	6.3363056	3233.521	200.832735	18.458894	1982-1999 –> 2000-2009	13.412188	7.0758821	8351.475	293.543332	13	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	493	6.3661410	3236.153	197.947897	19.968155	1982-1999 –> 2000-2009	13.442076	7.0759351	8352.118	289.008451	15	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	493	6.3003813	3225.915	199.336122	20.795778	1982-1999 –> 2000-2009	13.542336	7.2419544	8376.945	293.873458	11	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	493	6.0069270	3180.886	89.843885	15.244842	1982-1999 –> 2000-2009	13.645707	7.6387804	8414.577	120.616783	2	21
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	668	5.3807279	4157.954	36.279648	15.539019	2000-2009 –> 2010-2019	11.461448	6.0807202	7350.879	219.330174	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	668	5.3699794	4155.283	90.762698	15.440119	2000-2009 –> 2010-2019	11.475540	6.1055608	7352.227	449.574271	2	6
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	668	5.3610669	4153.064	62.844858	15.377278	2000-2009 –> 2010-2019	11.483067	6.1219999	7352.659	262.183371	1	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	668	5.5866404	4208.127	23.313049	17.410989	2000-2009 –> 2010-2019	11.593567	6.0069270	7389.013	113.156933	4	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	668	5.6708730	4228.120	38.678500	17.577791	2000-2009 –> 2010-2019	11.631976	5.9611025	7401.456	216.649907	6	7
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	668	5.7154399	4238.579	62.339520	16.809590	2000-2009 –> 2010-2019	11.890301	6.1748606	7446.652	264.897665	7	13
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	668	5.6052343	4210.566	22.461324	17.434326	2000-2009 –> 2010-2019	11.947970	6.3427354	7443.087	112.133387	5	19
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	668	5.7154510	4236.581	59.594046	16.779179	2000-2009 –> 2010-2019	12.015832	6.3003813	7462.496	258.930168	8	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	668	5.8716834	4274.611	94.517685	18.690140	2000-2009 –> 2010-2019	12.087976	6.2162926	7489.277	473.870435	9	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	668	5.9685188	4296.464	56.527304	18.870530	2000-2009 –> 2010-2019	12.304824	6.3363056	7529.985	257.360039	10	23
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	462	5.2313291	2854.010	73.655286	19.108746	1982-1999 –> 2000-2009	9.838097	4.6067682	7423.245	98.278417	1	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	462	5.3739935	2878.871	75.907292	19.781445	1982-1999 –> 2000-2009	9.960936	4.5869421	7441.438	113.222002	6	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	462	5.3916225	2881.897	429.652018	19.578081	1982-1999 –> 2000-2009	9.987315	4.5956925	7447.411	790.168926	7	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	462	5.4370882	2889.656	439.687129	19.581057	1982-1999 –> 2000-2009	10.023388	4.5862993	7452.007	815.276172	9	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	462	5.4384051	2889.880	56.035746	19.647444	1982-1999 –> 2000-2009	10.023924	4.5855191	7451.968	105.933472	11	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	462	5.3916565	2879.903	73.551930	19.591683	1982-1999 –> 2000-2009	10.025031	4.6333743	7456.041	96.859358	8	24
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	462	5.4375993	2889.743	58.610485	19.619879	1982-1999 –> 2000-2009	10.025547	4.5879480	7452.649	106.537588	10	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	462	5.3540573	2875.437	73.899672	17.357671	1982-1999 –> 2000-2009	10.025938	4.6718804	7466.370	120.392445	3	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	462	5.3535300	2875.346	444.702694	17.331191	1982-1999 –> 2000-2009	10.027092	4.6735622	7466.836	811.819650	2	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	462	5.3596150	2876.396	89.304112	17.372561	1982-1999 –> 2000-2009	10.032888	4.6732729	7467.790	143.295445	5	24
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	460	5.3188138	2856.974	26.170679	15.239308	2000-2009 –> 2010-2019	10.550143	5.2313291	5710.984	99.825964	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	460	5.3335775	2859.524	29.545056	15.853775	2000-2009 –> 2010-2019	10.693193	5.3596150	5735.919	118.849168	2	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	460	5.3407109	2860.754	91.831049	15.819227	2000-2009 –> 2010-2019	10.694241	5.3535300	5736.099	536.533743	3	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	460	5.3412446	2860.845	19.549661	15.817484	2000-2009 –> 2010-2019	10.695302	5.3540573	5736.282	93.449333	4	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	460	5.3415609	2858.900	19.077989	15.823370	2000-2009 –> 2010-2019	10.697025	5.3554644	5732.580	85.613131	5	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	460	5.4242836	2875.038	18.760896	15.747977	2000-2009 –> 2010-2019	10.798277	5.3739935	5753.909	94.668188	7	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	460	5.4296204	2875.943	96.902874	15.882045	2000-2009 –> 2010-2019	10.821243	5.3916225	5757.840	526.554892	9	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	460	5.4296627	2873.950	17.978763	15.884815	2000-2009 –> 2010-2019	10.821319	5.3916565	5753.853	91.530693	10	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	460	5.4446655	2878.489	28.113104	16.320505	2000-2009 –> 2010-2019	10.883071	5.4384051	5768.369	84.148850	11	22
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	460	5.4480086	2879.054	27.578793	16.304241	2000-2009 –> 2010-2019	10.885608	5.4375993	5768.797	86.189278	12	22
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1125	4.5139077	6597.729	139.353787	16.074277	1982-1999 –> 2000-2009	9.315725	4.8018176	14517.800	256.830256	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1125	4.5284166	6604.949	152.057767	16.266843	1982-1999 –> 2000-2009	9.338223	4.8098060	14529.419	308.452636	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1125	4.6327660	6656.208	85.174363	16.645493	1982-1999 –> 2000-2009	9.488254	4.8554875	14605.690	112.384817	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1125	4.6624123	6668.561	76.315146	17.406395	1982-1999 –> 2000-2009	9.518099	4.8556864	14616.150	100.101381	8	12
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1125	4.6546240	6666.799	146.163326	17.128676	1982-1999 –> 2000-2009	9.557272	4.9026483	14641.857	224.838174	6	11
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1125	4.6611079	6669.931	150.813701	17.207932	1982-1999 –> 2000-2009	9.568709	4.9076011	14647.660	234.274454	7	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1125	4.6694077	6671.934	139.208069	17.588698	1982-1999 –> 2000-2009	9.574172	4.9047640	14646.133	216.497089	9	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1125	4.6765250	6675.361	142.683373	17.679847	1982-1999 –> 2000-2009	9.585993	4.9094684	14652.097	224.358170	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1125	4.6513459	6665.214	773.854603	15.456718	1982-1999 –> 2000-2009	9.638991	4.9876448	14685.752	1427.182954	5	22
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1125	4.6307265	6655.218	603.648648	21.278759	1982-1999 –> 2000-2009	9.664340	5.0336132	14700.030	1169.792697	3	32
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	823	4.9155658	4970.675	58.740405	15.819279	2000-2009 –> 2010-2019	9.429474	4.5139077	11568.403	198.094193	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	823	4.9221179	4972.867	77.717408	15.916930	2000-2009 –> 2010-2019	9.450534	4.5284166	11577.817	229.775174	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	823	5.0396848	5011.720	273.816673	17.118581	2000-2009 –> 2010-2019	9.670411	4.6307265	11666.938	877.465321	3	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	823	5.0468229	5014.050	297.162632	17.992332	2000-2009 –> 2010-2019	9.698169	4.6513459	11679.264	1071.017235	4	9
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	823	5.0617418	5016.909	254.751924	16.791836	2000-2009 –> 2010-2019	9.739819	4.6780767	11693.016	793.556937	5	16
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	823	5.0755203	5023.383	42.484388	16.865205	2000-2009 –> 2010-2019	9.756925	4.6814049	11703.091	127.505152	6	18
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	823	5.1291395	5040.681	21.331087	17.531456	2000-2009 –> 2010-2019	9.761905	4.6327660	11696.889	106.505451	15	19
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	823	5.1081903	5033.944	51.318377	17.012796	2000-2009 –> 2010-2019	9.762814	4.6546240	11700.743	197.481703	9	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	823	5.1101956	5034.590	54.855010	17.040694	2000-2009 –> 2010-2019	9.771303	4.6611079	11704.521	205.668711	11	18
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	823	5.1105033	5032.689	50.456960	17.004617	2000-2009 –> 2010-2019	9.779911	4.6694077	11704.623	189.665030	12	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1782	4.2969696	10267.088	923.789106	18.443795	1982-1999 –> 2000-2009	7.978907	3.6819375	24039.985	1732.133921	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1782	4.3125830	10280.015	646.436787	15.812142	1982-1999 –> 2000-2009	8.059952	3.7473693	24141.938	1418.438023	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1782	4.4286212	10372.644	439.193261	15.835442	1982-1999 –> 2000-2009	8.185669	3.7570479	24245.603	902.408352	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1782	4.4299103	10375.681	125.533823	15.023687	1982-1999 –> 2000-2009	8.287179	3.8572686	24383.691	256.957065	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1782	4.5282594	10453.940	191.760581	17.037174	1982-1999 –> 2000-2009	8.350238	3.8219788	24415.498	337.031125	6	10
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1782	4.4774136	10413.695	166.192995	15.218995	1982-1999 –> 2000-2009	8.369369	3.8919552	24466.950	334.155342	5	13
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1782	4.5877708	10500.474	279.194784	16.686201	1982-1999 –> 2000-2009	8.448808	3.8610372	24513.419	495.454746	7	13
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1782	4.6067445	10513.183	93.596286	16.497387	1982-1999 –> 2000-2009	8.488952	3.8822071	24551.764	174.802542	8	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1782	4.6572360	10552.033	139.914990	16.693596	1982-1999 –> 2000-2009	8.575235	3.9179988	24636.995	264.114920	9	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1782	4.7737768	10642.120	706.628644	18.406019	1982-1999 –> 2000-2009	9.095008	4.3212311	25224.168	1523.444852	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1660	4.3350139	9594.402	617.849643	14.781956	2000-2009 –> 2010-2019	8.647597	4.3125830	19874.417	1264.286430	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1660	4.3800344	9628.704	781.347382	14.842282	2000-2009 –> 2010-2019	8.677004	4.2969696	19895.792	1705.136488	2	3
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1660	4.3903655	9636.525	112.322314	15.116678	2000-2009 –> 2010-2019	8.820276	4.4299103	20012.206	237.856137	3	7
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1660	4.4484787	9678.182	450.113549	15.129353	2000-2009 –> 2010-2019	8.877100	4.4286212	20050.826	889.306809	6	9
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1660	4.4052471	9647.760	150.290001	15.214438	2000-2009 –> 2010-2019	8.882661	4.4774136	20061.455	316.482996	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1660	4.5022920	9720.103	147.300807	15.545861	2000-2009 –> 2010-2019	9.030551	4.5282594	20174.044	339.061388	7	13
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1660	4.5253583	9737.069	214.616043	15.678508	2000-2009 –> 2010-2019	9.113129	4.5877708	20237.543	493.810827	8	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1660	4.5433245	9748.224	90.117936	15.665621	2000-2009 –> 2010-2019	9.150069	4.6067445	20261.407	183.714222	11	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1660	4.4415117	9674.979	456.900614	15.547755	2000-2009 –> 2010-2019	9.215288	4.7737768	20317.099	1163.529258	5	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1660	4.5611680	9761.237	126.328986	15.770188	2000-2009 –> 2010-2019	9.218404	4.6572360	20313.271	266.243976	12	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3394	4.1302688	19273.464	173.825538	22.234252	1982-1999 –> 2000-2009	7.203900	3.0736310	46418.617	475.220447	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3394	4.1332706	19278.395	139.920102	23.681118	1982-1999 –> 2000-2009	7.242085	3.1088146	46545.039	421.056263	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3394	4.1563100	19316.127	76.846921	24.080835	1982-1999 –> 2000-2009	7.291471	3.1351607	46672.848	166.401671	3	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3394	4.1849885	19362.804	93.229944	23.860453	1982-1999 –> 2000-2009	7.343270	3.1582813	46797.952	208.629168	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3394	4.2277670	19431.838	51.991455	29.205869	1982-1999 –> 2000-2009	7.380548	3.1527810	46848.381	102.859250	5	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3394	4.2475738	19463.565	36.503053	32.898929	1982-1999 –> 2000-2009	7.483572	3.2359985	47158.193	72.855540	6	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3394	4.2497746	19465.081	20.700980	33.171508	1982-1999 –> 2000-2009	7.486052	3.2362769	47158.628	37.819377	7	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3394	4.2618712	19484.375	19.005044	33.520121	1982-1999 –> 2000-2009	7.499970	3.2380983	47183.928	31.875992	8	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3394	4.3111159	19562.359	54.000188	36.920108	1982-1999 –> 2000-2009	7.505469	3.1943530	47116.727	109.970759	10	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3394	4.3029892	19549.551	18.214695	36.924200	1982-1999 –> 2000-2009	7.517292	3.2143026	47170.374	34.832814	9	17
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3827	4.1412128	21750.803	317.670705	39.249647	2000-2009 –> 2010-2019	8.271482	4.1302688	41024.266	491.496243	3	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3827	4.1457714	21759.224	228.145685	44.765854	2000-2009 –> 2010-2019	8.279042	4.1332706	41037.619	368.065787	6	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3827	4.1334062	21736.361	85.514714	47.876411	2000-2009 –> 2010-2019	8.289716	4.1563100	41052.488	162.361635	1	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3827	4.1543854	21775.111	99.510373	48.069084	2000-2009 –> 2010-2019	8.339374	4.1849885	41137.914	192.740317	12	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3827	4.1440408	21756.028	40.532856	41.560836	2000-2009 –> 2010-2019	8.371808	4.2277670	41187.866	92.524310	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3827	4.1403454	21749.200	23.292154	42.151195	2000-2009 –> 2010-2019	8.387919	4.2475738	41212.764	59.795207	2	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3827	4.1491516	21763.462	10.415484	42.396664	2000-2009 –> 2010-2019	8.398926	4.2497746	41228.543	31.116464	9	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3827	4.1442441	21754.404	9.671429	42.004265	2000-2009 –> 2010-2019	8.406115	4.2618712	41238.778	28.676472	5	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3827	4.1457882	21757.255	7.973865	42.915293	2000-2009 –> 2010-2019	8.448777	4.3029892	41306.805	26.188560	7	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3827	4.1472695	21759.989	29.332714	43.172202	2000-2009 –> 2010-2019	8.458385	4.3111159	41322.348	83.332902	8	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6000	5.7003390	37927.570	53.938491	45.348788	1982-1999 –> 2000-2009	9.149465	3.4491261	79699.916	296.598465	4	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6000	5.8549880	38248.790	23.705230	53.825561	1982-1999 –> 2000-2009	9.165798	3.3108103	79377.912	62.900400	7	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6000	5.7833567	38101.074	22.878398	64.312417	1982-1999 –> 2000-2009	9.246303	3.4629458	79936.264	43.180491	5	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6000	5.5999837	37714.427	25.204815	43.284097	1982-1999 –> 2000-2009	9.256071	3.6560870	80402.584	59.482658	2	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6000	5.6092113	37734.184	45.206447	44.368018	1982-1999 –> 2000-2009	9.263204	3.6539924	80413.335	177.759567	3	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6000	5.5984041	37711.041	22.929464	42.342604	1982-1999 –> 2000-2009	9.274010	3.6756062	80482.880	66.502650	1	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6000	5.7917623	38116.502	11.068708	62.658013	1982-1999 –> 2000-2009	9.448965	3.6572030	80807.456	26.324660	6	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6000	6.1401709	38819.493	19.318834	45.531140	1982-1999 –> 2000-2009	9.491224	3.3510528	80138.491	60.585858	14	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6000	5.9352891	38410.251	12.411289	64.368370	1982-1999 –> 2000-2009	9.581002	3.6457125	81051.750	25.033033	8	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6000	6.0460092	38634.043	26.656007	42.657703	1982-1999 –> 2000-2009	9.815855	3.7698453	81803.747	109.007137	9	32
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5322	5.3369459	32942.194	209.306373	66.389407	2000-2009 –> 2010-2019	11.037285	5.7003390	70869.764	263.244863	5	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5322	5.2038221	32673.325	37.102360	65.190926	2000-2009 –> 2010-2019	11.058810	5.8549880	70922.115	60.807591	1	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5322	5.4989625	33260.512	36.097311	45.481535	2000-2009 –> 2010-2019	11.098946	5.5999837	70974.939	61.302126	14	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5322	5.5168136	33295.010	102.912424	43.039500	2000-2009 –> 2010-2019	11.126025	5.6092113	71029.194	148.118871	17	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5322	5.5317754	33323.838	46.654171	45.564480	2000-2009 –> 2010-2019	11.130180	5.5984041	71034.879	69.583635	20	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5322	5.4934652	33249.866	660.470407	40.261835	2000-2009 –> 2010-2019	11.195599	5.7021334	71181.213	933.461321	13	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5322	5.4583554	33181.620	18.195803	41.482358	2000-2009 –> 2010-2019	11.241712	5.7833567	71282.694	41.074201	11	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	5322	5.5265372	33311.754	7.626114	39.863146	2000-2009 –> 2010-2019	11.318300	5.7917623	71428.255	18.694822	19	26
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5322	5.2132031	32692.496	39.963740	67.790250	2000-2009 –> 2010-2019	11.353374	6.1401709	71511.989	59.282574	2	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	5322	5.5767059	33407.942	6.629482	40.786797	2000-2009 –> 2010-2019	11.511995	5.9352891	71818.193	19.040772	26	35
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2856	4.0333410	16084.904	190.753219	27.999367	1982-1999 –> 2000-2009	7.386893	3.3535517	31593.985	805.905958	1	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2856	4.0936295	16169.652	26.996126	27.314667	1982-1999 –> 2000-2009	7.439855	3.3462253	31665.844	57.973945	4	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2856	4.0830709	16154.901	22.205177	28.283436	1982-1999 –> 2000-2009	7.478867	3.3957965	31737.765	55.393422	2	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2856	4.0905516	16165.356	39.716933	28.042590	1982-1999 –> 2000-2009	7.486848	3.3962963	31749.088	165.809187	3	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2856	4.1031938	16180.982	12.760011	27.082013	1982-1999 –> 2000-2009	7.499642	3.3964478	31762.977	26.485151	5	11
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2856	4.1351272	16227.264	22.441125	28.339342	1982-1999 –> 2000-2009	7.569257	3.4341296	31876.290	63.685093	6	14
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2856	4.2335987	16361.692	23.869129	29.489650	1982-1999 –> 2000-2009	7.651423	3.4178248	31982.667	67.479621	7	14
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2856	4.4473882	16643.092	28.177491	32.521705	1982-1999 –> 2000-2009	7.775347	3.3279583	32107.019	58.937469	22	23
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2856	4.3848513	16560.202	16.285641	31.194049	1982-1999 –> 2000-2009	7.839572	3.4547206	32242.463	30.894169	19	28
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2856	4.2931794	16441.518	50.671152	27.710017	1982-1999 –> 2000-2009	7.860578	3.5673986	32314.947	274.886229	8	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2326	5.1801430	14266.664	383.422645	25.855203	2000-2009 –> 2010-2019	9.213484	4.0333410	30351.568	574.175864	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2326	5.2386364	14318.899	33.990269	25.841704	2000-2009 –> 2010-2019	9.321707	4.0830709	30473.800	56.195446	3	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2326	5.2399609	14320.075	33.321206	24.654408	2000-2009 –> 2010-2019	9.333590	4.0936295	30489.727	60.317332	4	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2326	5.2464608	14325.842	88.305561	25.581109	2000-2009 –> 2010-2019	9.337012	4.0905516	30491.198	128.022495	5	8
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2326	5.2504495	14327.377	13.132659	25.244246	2000-2009 –> 2010-2019	9.353643	4.1031938	30508.360	25.892671	6	11
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2326	5.2724240	14348.807	41.130599	25.517141	2000-2009 –> 2010-2019	9.407551	4.1351272	30576.071	63.571724	7	13
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2326	5.3281130	14397.685	40.999603	37.372516	2000-2009 –> 2010-2019	9.561712	4.2335987	30759.377	64.868732	9	16
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2326	5.2224450	14304.498	32.710498	33.186671	2000-2009 –> 2010-2019	9.669833	4.4473882	30947.590	60.887988	2	24
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2326	5.3310577	14398.255	15.177044	35.074290	2000-2009 –> 2010-2019	9.715909	4.3848513	30958.458	31.462685	10	29
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2326	5.4840323	14531.865	141.902241	25.580101	2000-2009 –> 2010-2019	9.777212	4.2931794	30973.383	192.573393	13	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6304	3.7790126	34665.844	149.213983	16.693008	1982-1999 –> 2000-2009	7.606872	3.8278594	74126.979	549.435678	3	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6304	3.8588028	34929.278	138.759689	17.639675	1982-1999 –> 2000-2009	7.634902	3.7760996	74195.922	198.307327	7	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6304	3.8672245	34956.764	99.182743	18.537407	1982-1999 –> 2000-2009	7.649669	3.7824442	74247.392	258.978577	8	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6304	3.9315972	35164.906	102.740373	18.615272	1982-1999 –> 2000-2009	7.711263	3.7796656	74445.035	160.257797	11	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6304	3.7772260	34659.882	58.041764	27.442047	1982-1999 –> 2000-2009	7.864256	4.0870298	75056.932	94.382550	2	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	6304	3.8686105	34959.282	53.056898	18.917078	1982-1999 –> 2000-2009	7.966379	4.0977683	75391.820	89.165221	9	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6304	3.7346469	34516.949	159.635319	36.933017	1982-1999 –> 2000-2009	8.084965	4.3503187	75805.884	579.374618	1	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6304	3.8434260	34878.936	152.655973	34.198403	1982-1999 –> 2000-2009	8.100570	4.2571438	75858.570	203.639853	5	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6304	3.8389814	34864.348	109.835405	37.447566	1982-1999 –> 2000-2009	8.128816	4.2898347	75953.265	255.442398	4	25
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6304	3.9496248	35222.585	86.157177	33.502956	1982-1999 –> 2000-2009	8.202653	4.2530283	76188.402	130.759365	12	29
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4923	6.0397248	31691.506	270.037280	32.672021	2000-2009 –> 2010-2019	9.818737	3.7790126	66357.350	419.251263	4	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4923	6.0054319	31635.442	51.966168	34.880066	2000-2009 –> 2010-2019	9.864235	3.8588028	66564.720	190.725857	2	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4923	6.0024191	31630.501	115.882049	34.719345	2000-2009 –> 2010-2019	9.869644	3.8672245	66587.266	215.064793	1	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4923	6.0159639	31652.695	44.738073	34.871861	2000-2009 –> 2010-2019	9.947561	3.9315972	66817.600	147.478446	3	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4923	6.2054787	31958.078	35.718026	34.066889	2000-2009 –> 2010-2019	9.982705	3.7772260	66617.959	93.759790	10	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	4923	6.2769292	32068.798	35.652668	33.795089	2000-2009 –> 2010-2019	10.145540	3.8686105	67028.080	88.709565	11	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4923	6.4273394	32303.949	303.747302	71.245704	2000-2009 –> 2010-2019	10.161986	3.7346469	66820.899	463.382621	15	16
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4923	6.4560230	32347.792	109.336821	70.653917	2000-2009 –> 2010-2019	10.295004	3.8389814	67212.139	219.172226	18	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4923	6.1997865	31949.042	121.387547	52.930414	2000-2009 –> 2010-2019	10.318039	4.1182522	67698.746	227.461623	9	28
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4923	6.5046198	32421.628	48.307034	68.690875	2000-2009 –> 2010-2019	10.348046	3.8434260	67300.565	200.963007	21	26
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7932	4.0600950	44752.779	133.201332	48.830306	1982-1999 –> 2000-2009	8.307152	4.2470571	122051.735	230.522413	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7932	4.0723614	44800.635	139.341969	48.591318	1982-1999 –> 2000-2009	8.324753	4.2523920	122133.453	237.822736	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	7932	4.0853068	44850.984	123.336682	47.519042	1982-1999 –> 2000-2009	8.341976	4.2566695	122210.922	218.877910	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7932	4.1054738	44927.104	72.492835	57.328294	1982-1999 –> 2000-2009	8.353058	4.2475838	122227.404	137.049120	4	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7932	4.1085180	44938.862	86.999273	56.806585	1982-1999 –> 2000-2009	8.361724	4.2532057	122274.842	151.599876	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7932	4.1167360	44970.563	90.290535	55.468191	1982-1999 –> 2000-2009	8.374141	4.2574048	122333.160	154.298703	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7932	4.1453672	45082.512	146.276512	52.102552	1982-1999 –> 2000-2009	8.572570	4.4272033	123502.016	250.148269	7	22
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	7932	4.1559733	45121.049	73.258695	56.343153	1982-1999 –> 2000-2009	8.583954	4.4279807	123543.289	138.411913	8	24
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7932	4.1592056	45135.382	549.291501	54.816372	1982-1999 –> 2000-2009	8.595588	4.4363825	123610.756	1078.267539	10	30
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	7932	4.3110453	45702.207	95.167434	34.306046	1982-1999 –> 2000-2009	8.596008	4.2849628	123238.842	174.081482	18	25
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6361	3.9537965	35554.368	67.125384	37.522696	2000-2009 –> 2010-2019	8.013892	4.0600950	80307.146	200.326717	6	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6361	3.9512711	35546.239	67.968821	37.558595	2000-2009 –> 2010-2019	8.023632	4.0723614	80346.874	207.310789	5	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6361	3.9689883	35603.156	64.651963	37.282661	2000-2009 –> 2010-2019	8.054295	4.0853068	80454.140	187.988646	8	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6361	3.8962806	35367.941	363.423495	36.611826	2000-2009 –> 2010-2019	8.055486	4.1592056	80503.324	912.714996	1	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6361	3.9267658	35467.093	71.370326	37.610248	2000-2009 –> 2010-2019	8.072133	4.1453672	80549.605	217.646837	2	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6361	3.9277071	35470.142	168.649946	37.755449	2000-2009 –> 2010-2019	8.084770	4.1570623	80597.348	440.966960	3	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	6361	3.9297489	35474.754	39.906715	38.442396	2000-2009 –> 2010-2019	8.092547	4.1627979	80621.832	79.370144	4	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6361	3.9874009	35660.038	43.579162	35.078451	2000-2009 –> 2010-2019	8.092875	4.1054738	80587.142	116.071997	10	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6361	3.9873888	35660.000	43.576131	35.025819	2000-2009 –> 2010-2019	8.095907	4.1085180	80598.862	130.575404	9	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	6361	4.0000563	35700.352	42.668053	34.955198	2000-2009 –> 2010-2019	8.116792	4.1167360	80670.914	132.958588	11	17
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1830	4.0269371	10305.717	461.158851	12.210720	1982-1999 –> 2000-2009	6.995050	2.9681127	24413.311	867.408489	2	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1830	4.0554851	10331.572	313.254443	12.550395	1982-1999 –> 2000-2009	7.018636	2.9631509	24429.760	561.038002	7	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1830	4.0910846	10363.560	310.698370	12.212040	1982-1999 –> 2000-2009	7.049284	2.9581999	24452.347	552.584526	13	16
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1830	4.0971767	10369.006	282.393170	12.420230	1982-1999 –> 2000-2009	7.055309	2.9581318	24457.663	509.608097	15	17
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1830	4.0988206	10370.474	237.382574	12.529778	1982-1999 –> 2000-2009	7.056107	2.9572868	24457.525	435.969286	17	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1830	4.1103133	10378.722	142.679619	13.659853	1982-1999 –> 2000-2009	7.068640	2.9583265	24465.749	303.072566	20	24
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1830	4.0605701	10334.159	43.203563	13.760016	1982-1999 –> 2000-2009	7.093497	3.0329274	24561.199	86.776692	10	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1830	4.1066920	10375.496	190.498987	14.211627	1982-1999 –> 2000-2009	7.099229	2.9925368	24527.164	387.934118	19	26
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1830	4.0285882	10305.218	167.031885	12.922889	1982-1999 –> 2000-2009	7.101400	3.0728121	24605.709	327.683159	3	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1830	4.1218749	10389.003	62.367923	14.644964	1982-1999 –> 2000-2009	7.116235	2.9943603	24544.095	115.775532	21	29
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1794	3.9481510	10030.363	521.382157	14.719768	2000-2009 –> 2010-2019	8.004516	4.0563645	20360.729	1190.296790	1	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1794	3.9885447	10066.886	519.770322	15.134590	2000-2009 –> 2010-2019	8.010948	4.0224030	20366.479	1297.091569	3	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1794	3.9811575	10060.234	518.359850	15.617472	2000-2009 –> 2010-2019	8.021473	4.0403158	20376.091	1277.854133	2	7
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1794	4.0054553	10084.066	441.156630	14.271204	2000-2009 –> 2010-2019	8.032392	4.0269371	20389.783	902.315481	5	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1794	4.0063491	10082.866	126.718196	14.494583	2000-2009 –> 2010-2019	8.034937	4.0285882	20388.084	293.750081	6	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1794	3.9981255	10075.494	531.276347	16.369072	2000-2009 –> 2010-2019	8.068750	4.0706248	20418.704	1303.610562	4	15
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1794	4.0315423	10107.358	271.376126	15.096767	2000-2009 –> 2010-2019	8.087027	4.0554851	20438.930	584.630569	7	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1794	4.0316399	10105.445	33.614963	15.000474	2000-2009 –> 2010-2019	8.092210	4.0605701	20439.604	76.818527	8	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1794	4.1002547	10165.996	316.710107	16.025646	2000-2009 –> 2010-2019	8.130301	4.0300461	20472.537	679.302355	14	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1794	4.1013665	10166.968	114.359105	17.066523	2000-2009 –> 2010-2019	8.157928	4.0565614	20497.512	256.666447	16	25
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1773	4.9213933	10696.432	729.955325	18.158226	1982-1999 –> 2000-2009	8.209231	3.2878380	23667.564	1413.288067	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1773	5.0268185	10771.592	410.736471	18.357229	1982-1999 –> 2000-2009	8.345572	3.3187532	23789.200	719.298858	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1773	5.0112269	10758.576	664.237835	16.653418	1982-1999 –> 2000-2009	8.359019	3.3477922	23817.448	1333.171875	2	8
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1773	5.0459038	10785.029	320.863288	18.937285	1982-1999 –> 2000-2009	8.376536	3.3306323	23820.381	572.483588	4	8
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1773	5.0635204	10797.388	367.077693	19.094369	1982-1999 –> 2000-2009	8.444779	3.3812591	23907.657	657.609656	5	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1773	5.1357195	10845.592	235.627297	12.675416	1982-1999 –> 2000-2009	8.449486	3.3137665	23853.733	384.145658	10	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1773	5.1185360	10833.708	252.758824	16.070150	1982-1999 –> 2000-2009	8.490940	3.3724043	23928.955	509.146740	8	15
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1773	5.0841387	10811.798	331.324071	18.547891	1982-1999 –> 2000-2009	8.516224	3.4320852	23996.159	798.713965	6	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1773	5.1840619	10878.814	54.032103	12.903987	1982-1999 –> 2000-2009	8.517741	3.3336788	23916.707	107.548905	12	17
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1773	5.0973256	10820.983	400.242507	18.531445	1982-1999 –> 2000-2009	8.529462	3.4321363	24005.418	835.263586	7	23
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1715	4.8874830	10323.263	611.621822	17.963793	2000-2009 –> 2010-2019	9.808876	4.9213933	21019.695	1341.577147	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1715	4.8887227	10322.133	544.400192	18.018457	2000-2009 –> 2010-2019	9.899950	5.0112269	21080.709	1208.638028	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1715	5.0545688	10438.563	272.752187	19.266608	2000-2009 –> 2010-2019	10.081387	5.0268185	21210.154	683.488659	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1715	5.0560131	10437.543	181.468039	19.335768	2000-2009 –> 2010-2019	10.174549	5.1185360	21271.250	434.226863	4	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1715	5.0576485	10438.652	127.625901	18.966526	2000-2009 –> 2010-2019	10.193368	5.1357195	21284.244	363.253198	5	15
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1715	5.1882319	10528.087	257.879557	19.546755	2000-2009 –> 2010-2019	10.251752	5.0635204	21325.475	624.957250	9	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1715	5.2104364	10542.735	234.170825	19.397875	2000-2009 –> 2010-2019	10.256340	5.0459038	21327.765	555.034113	12	16
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1715	5.1849004	10525.884	274.544496	19.573046	2000-2009 –> 2010-2019	10.269039	5.0841387	21337.681	605.868568	8	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	1715	5.1494138	10498.327	67.416946	20.017893	2000-2009 –> 2010-2019	10.285767	5.1363533	21342.357	131.816576	7	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1715	5.1472502	10498.886	36.296209	19.634643	2000-2009 –> 2010-2019	10.331312	5.1840619	21377.700	90.328312	6	18
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1349	4.8480168	8101.277	382.034951	18.568924	1982-1999 –> 2000-2009	8.922389	4.0743726	18557.155	806.153793	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1349	4.8794500	8118.714	428.428790	18.811204	1982-1999 –> 2000-2009	9.010700	4.1312500	18625.858	873.338178	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1349	4.8805302	8119.311	426.936433	18.792636	1982-1999 –> 2000-2009	9.047386	4.1668559	18658.190	873.676891	3	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1349	4.8864734	8122.595	429.248580	18.709737	1982-1999 –> 2000-2009	9.088130	4.2016565	18692.230	872.866738	4	8
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1349	4.8875188	8123.172	397.818423	18.874829	1982-1999 –> 2000-2009	9.161000	4.2734808	18755.488	831.057080	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1349	4.9906078	8177.487	57.035505	18.280426	1982-1999 –> 2000-2009	9.290414	4.2998065	18830.514	111.024204	11	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1349	5.0113970	8188.702	375.456807	18.501452	1982-1999 –> 2000-2009	9.297604	4.2862072	18830.015	617.011619	15	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1349	4.9889921	8176.613	173.266946	18.242537	1982-1999 –> 2000-2009	9.324888	4.3358963	18860.549	526.141606	9	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1349	4.9888259	8176.523	55.138915	18.254838	1982-1999 –> 2000-2009	9.356757	4.3679307	18887.680	99.124984	8	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	1349	4.9949870	8179.853	55.047284	18.354841	1982-1999 –> 2000-2009	9.412437	4.4174501	18932.699	107.453042	12	24
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1271	4.1376096	7230.882	407.488483	22.107805	2000-2009 –> 2010-2019	8.985626	4.8480168	15332.160	789.523434	5	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1271	4.1307620	7226.672	453.716525	21.727654	2000-2009 –> 2010-2019	9.010212	4.8794500	15345.386	882.145315	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1271	4.1307907	7226.690	454.046495	21.680088	2000-2009 –> 2010-2019	9.011321	4.8805302	15346.001	880.982928	3	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1271	4.1297421	7226.044	428.691445	21.597207	2000-2009 –> 2010-2019	9.017261	4.8875188	15349.216	826.509869	1	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1271	4.1320626	7227.472	453.264680	21.567955	2000-2009 –> 2010-2019	9.018536	4.8864734	15350.067	882.513261	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1271	4.2284493	7284.087	370.993117	23.669928	2000-2009 –> 2010-2019	9.132131	4.9036813	15414.166	660.999680	12	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1271	4.1736307	7250.917	236.852694	20.455579	2000-2009 –> 2010-2019	9.162175	4.9885441	15427.288	421.278150	6	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1271	4.1814964	7255.703	41.444108	20.573871	2000-2009 –> 2010-2019	9.170322	4.9888259	15432.226	96.583024	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1271	4.1813941	7255.641	224.107499	20.602543	2000-2009 –> 2010-2019	9.170386	4.9889921	15432.254	397.374445	7	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	1271	4.1835163	7256.930	47.512249	20.757673	2000-2009 –> 2010-2019	9.178503	4.9949870	15436.784	102.559533	9	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3424	2.4951301	15992.297	103.549396	19.352897	1982-1999 –> 2000-2009	4.508159	2.0130286	31738.864	187.551432	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3424	2.5060386	16020.171	98.564527	19.596065	1982-1999 –> 2000-2009	4.545027	2.0389881	31859.889	181.923392	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3424	2.5620811	16173.625	81.528839	19.371893	1982-1999 –> 2000-2009	4.606444	2.0443624	32034.891	117.820998	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3424	2.5726062	16201.700	41.722537	19.446246	1982-1999 –> 2000-2009	4.627809	2.0552030	32102.239	56.212595	5	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3424	2.5669118	16184.525	55.383066	19.554709	1982-1999 –> 2000-2009	4.629472	2.0625599	32109.599	82.019346	4	14
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3424	2.5791475	16219.090	89.195059	19.559617	1982-1999 –> 2000-2009	4.631280	2.0521325	32108.526	161.466614	7	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3424	2.5805484	16222.808	79.672405	19.576556	1982-1999 –> 2000-2009	4.635063	2.0545141	32120.858	113.783782	8	13
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3424	2.5808037	16223.486	40.852681	19.580584	1982-1999 –> 2000-2009	4.635893	2.0550889	32123.613	55.291848	9	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3424	2.5809870	16223.972	34.735333	19.585550	1982-1999 –> 2000-2009	4.636050	2.0550630	32124.006	46.064696	10	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	3424	2.5894759	16244.458	3.304303	19.839510	1982-1999 –> 2000-2009	4.644711	2.0552354	32143.115	6.658913	17	26
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2130	2.0734820	9165.195	158.169024	26.823785	2000-2009 –> 2010-2019	4.568612	2.4951301	25157.492	261.718420	8	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	2130	2.0646319	9146.973	54.466664	26.354414	2000-2009 –> 2010-2019	4.626713	2.5620811	25320.599	135.995503	4	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2130	2.1232118	9264.160	156.570989	27.556803	2000-2009 –> 2010-2019	4.629250	2.5060386	25284.331	255.135517	24	26
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2130	2.0609833	9139.439	20.226664	26.310876	2000-2009 –> 2010-2019	4.633590	2.5726062	25341.138	61.949201	1	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2130	2.0613343	9140.164	127.114662	26.260282	2000-2009 –> 2010-2019	4.640482	2.5791475	25359.254	216.309721	2	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2130	2.0645562	9146.817	19.689120	26.310625	2000-2009 –> 2010-2019	4.645360	2.5808037	25370.303	60.541800	3	12
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2130	2.0649483	9147.626	51.935994	26.322930	2000-2009 –> 2010-2019	4.645497	2.5805484	25370.435	131.608399	5	13
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2130	2.0649661	9147.663	16.687241	26.320259	2000-2009 –> 2010-2019	4.645953	2.5809870	25371.635	51.422574	6	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	2130	2.0742690	9164.812	12.003329	26.801424	2000-2009 –> 2010-2019	4.651248	2.5769787	25376.141	32.514885	9	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2130	2.0897629	9196.514	38.793902	26.850955	2000-2009 –> 2010-2019	4.656675	2.5669118	25381.039	94.176968	13	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4992	8.5387800	35592.550	22.950117	28.865416	1982-1999 –> 2000-2009	17.434221	8.8954413	62582.459	43.854065	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4992	8.7302089	35813.907	63.816897	29.943179	1982-1999 –> 2000-2009	17.935926	9.2057166	63060.410	98.602158	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4992	8.7318105	35815.738	66.988348	29.992982	1982-1999 –> 2000-2009	17.943519	9.2117083	63067.111	99.351728	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4992	8.7417355	35827.080	63.564685	30.268449	1982-1999 –> 2000-2009	17.981189	9.2394536	63100.961	98.140569	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4992	8.7396886	35822.742	13.862064	29.969182	1982-1999 –> 2000-2009	18.008771	9.2690821	63118.584	29.588632	4	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4992	8.7870144	35878.660	127.843431	30.016066	1982-1999 –> 2000-2009	18.037268	9.2502540	63161.284	363.045030	9	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4992	8.7668933	35855.772	25.617643	32.338398	1982-1999 –> 2000-2009	18.347225	9.5803313	63400.794	51.927092	6	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4992	8.7732243	35862.979	14.297543	31.837618	1982-1999 –> 2000-2009	18.350693	9.5774689	63405.764	24.891711	7	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4992	8.7762790	35866.455	15.435407	31.668446	1982-1999 –> 2000-2009	18.353503	9.5772242	63409.049	29.970853	8	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4992	8.7956591	35888.477	133.449134	37.075744	1982-1999 –> 2000-2009	18.563935	9.7682758	63578.897	366.894326	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5523	8.8502715	39772.825	30.980868	34.774404	2000-2009 –> 2010-2019	17.389052	8.5387800	75365.375	53.930985	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5523	9.1457424	40135.579	56.945385	33.237741	2000-2009 –> 2010-2019	17.875951	8.7302089	75949.486	120.762282	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5523	9.1458847	40135.751	58.007493	33.263383	2000-2009 –> 2010-2019	17.877695	8.7318105	75951.489	124.995841	5	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5523	9.1460177	40133.912	25.467610	33.252728	2000-2009 –> 2010-2019	17.885706	8.7396886	75956.654	39.329673	6	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5523	9.1114375	40094.069	143.095449	46.174220	2000-2009 –> 2010-2019	17.898452	8.7870144	75972.729	270.938880	3	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5523	9.1819162	40179.183	62.380293	33.263326	2000-2009 –> 2010-2019	17.923652	8.7417355	76006.263	125.944978	7	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5523	9.2333853	40240.928	148.636614	42.447930	2000-2009 –> 2010-2019	18.029044	8.7956591	76129.406	282.085747	8	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5523	9.0424948	40010.170	55.565334	36.187936	2000-2009 –> 2010-2019	18.030050	8.9875550	76114.128	118.784779	2	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5523	9.3082557	40330.135	38.760029	37.535428	2000-2009 –> 2010-2019	18.075149	8.7668933	76185.907	64.377672	9	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5523	9.3239170	40348.705	14.308191	36.912493	2000-2009 –> 2010-2019	18.097141	8.7732243	76211.684	28.605735	11	18
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3323	5.8930847	21232.805	20.232789	31.181917	1982-1999 –> 2000-2009	11.148701	5.2556161	42825.237	37.205766	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3323	6.4146408	21796.408	82.193353	28.865800	1982-1999 –> 2000-2009	12.197507	5.7828658	44059.012	138.336830	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3323	6.4147441	21796.515	27.613336	28.892468	1982-1999 –> 2000-2009	12.202527	5.7877831	44065.077	43.495756	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3323	6.4391680	21821.772	46.919564	28.355895	1982-1999 –> 2000-2009	12.255538	5.8163700	44124.872	76.617456	5	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3323	6.4147465	21794.518	10.488326	28.897850	1982-1999 –> 2000-2009	12.270394	5.8556478	44142.797	16.217762	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3323	6.6811529	22066.951	18.316265	24.429689	1982-1999 –> 2000-2009	12.622094	5.9409413	44518.602	29.073121	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3323	6.6968657	22080.562	18.132979	24.860709	1982-1999 –> 2000-2009	12.664118	5.9672524	44561.190	23.987339	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3323	6.8143218	22198.116	65.069657	22.415363	1982-1999 –> 2000-2009	12.812565	5.9982433	44717.056	110.081556	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3323	6.8144292	22196.221	57.248868	22.353268	1982-1999 –> 2000-2009	12.813318	5.9988892	44713.916	75.936005	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3323	6.9505278	22327.647	9.196793	19.445792	1982-1999 –> 2000-2009	12.969139	6.0186116	44868.351	14.561752	14	24
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2796	7.0242305	18849.557	14.506216	24.465958	2000-2009 –> 2010-2019	12.917315	5.8930847	40082.362	34.739005	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2796	7.4958524	19212.949	22.191447	21.835959	2000-2009 –> 2010-2019	13.910597	6.4147441	41009.464	49.804782	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2796	7.4994108	19215.603	72.624017	21.727146	2000-2009 –> 2010-2019	13.914052	6.4146408	41012.011	154.817370	3	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2796	7.5027732	19216.109	9.202048	21.492959	2000-2009 –> 2010-2019	13.917520	6.4147465	41010.627	19.690374	4	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2796	7.5495298	19252.850	45.647549	21.538167	2000-2009 –> 2010-2019	13.988698	6.4391680	41074.622	92.567113	6	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2796	7.5560268	19257.660	13.366948	21.122298	2000-2009 –> 2010-2019	14.237180	6.6811529	41324.611	31.683212	7	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2796	7.6199164	19302.744	11.125333	20.830666	2000-2009 –> 2010-2019	14.316782	6.6968657	41383.307	29.258312	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2796	7.5070236	19221.276	13.034782	26.209126	2000-2009 –> 2010-2019	14.341310	6.8342861	41438.835	29.977920	5	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2796	7.7202454	19377.892	54.139196	19.336584	2000-2009 –> 2010-2019	14.534567	6.8143218	41576.008	119.208853	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2796	7.7270863	19380.845	34.235425	19.408897	2000-2009 –> 2010-2019	14.541515	6.8144292	41577.065	91.484292	10	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2979	5.1555399	18239.584	38.730978	20.046542	1982-1999 –> 2000-2009	9.720946	4.5654057	36318.876	69.481570	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2979	5.1907912	18280.183	46.649530	20.224456	1982-1999 –> 2000-2009	9.729385	4.5385934	36323.251	91.666288	8	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2979	5.1668664	18252.659	47.830261	19.668578	1982-1999 –> 2000-2009	9.735399	4.5685331	36336.163	92.705668	2	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2979	5.1698784	18256.131	13.839948	19.605025	1982-1999 –> 2000-2009	9.738009	4.5681303	36339.093	25.009525	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2979	5.1700466	18256.325	21.539669	20.208435	1982-1999 –> 2000-2009	9.760815	4.5907686	36369.689	37.381313	4	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2979	5.1739993	18260.878	64.073606	20.256709	1982-1999 –> 2000-2009	9.764407	4.5904079	36373.759	120.341364	6	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2979	5.1937740	18281.606	8.642673	20.007960	1982-1999 –> 2000-2009	9.765220	4.5714461	36367.030	12.966373	9	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2979	5.1729524	18257.673	12.549906	19.889018	1982-1999 –> 2000-2009	9.771942	4.5989900	36380.040	19.035168	5	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2979	5.1740300	18258.914	32.922379	20.216288	1982-1999 –> 2000-2009	9.779679	4.6056492	36390.180	53.688305	7	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2979	5.1965873	18286.832	19.690406	19.047738	1982-1999 –> 2000-2009	9.785059	4.5884716	36397.118	38.074967	10	16
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2811	5.7651488	17840.066	34.328546	19.376427	2000-2009 –> 2010-2019	10.955940	5.1907912	36120.249	80.978076	1	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2811	5.8214036	17894.658	27.460807	18.451504	2000-2009 –> 2010-2019	10.976944	5.1555399	36134.242	66.191785	2	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2811	5.8263396	17899.423	8.814811	18.357372	2000-2009 –> 2010-2019	10.996218	5.1698784	36155.554	22.654759	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2811	5.8305428	17903.477	35.752863	18.410376	2000-2009 –> 2010-2019	10.997409	5.1668664	36156.136	83.583125	4	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2811	5.8367801	17909.488	13.312044	18.464869	2000-2009 –> 2010-2019	11.006827	5.1700466	36165.813	34.851713	7	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2811	5.8354673	17908.224	47.191777	18.468791	2000-2009 –> 2010-2019	11.009467	5.1739993	36169.102	111.265383	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2811	5.8370945	17907.791	8.233970	18.474498	2000-2009 –> 2010-2019	11.010047	5.1729524	36165.464	20.783875	8	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2811	5.8364126	17907.134	23.274991	18.484355	2000-2009 –> 2010-2019	11.010443	5.1740300	36166.048	56.197369	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2811	5.8536916	17923.754	6.086332	18.473674	2000-2009 –> 2010-2019	11.047466	5.1937740	36205.360	14.729005	10	19
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2811	5.8405385	17911.107	6.936662	18.433529	2000-2009 –> 2010-2019	11.049198	5.2086594	36209.765	16.514959	9	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3976	4.5145899	23283.563	72.010704	18.056864	1982-1999 –> 2000-2009	9.186231	4.6716409	45749.608	122.061790	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3976	4.5604741	23363.975	30.074222	17.029159	1982-1999 –> 2000-2009	9.232345	4.6718708	45830.393	55.263312	8	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3976	4.5636019	23367.427	9.360014	17.321869	1982-1999 –> 2000-2009	9.235479	4.6718767	45831.855	16.091269	9	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3976	4.5242607	23300.579	42.142366	18.271765	1982-1999 –> 2000-2009	9.237343	4.7130821	45833.603	64.952713	2	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3976	4.5300223	23310.699	95.843804	18.318800	1982-1999 –> 2000-2009	9.237700	4.7076779	45835.022	167.146619	3	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3976	4.5322810	23314.663	59.843030	17.299195	1982-1999 –> 2000-2009	9.248146	4.7158646	45852.163	112.372334	4	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3976	4.5377540	23324.260	19.412015	16.991858	1982-1999 –> 2000-2009	9.257166	4.7194116	45867.462	33.799819	6	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3976	4.5378066	23322.352	9.570088	17.055684	1982-1999 –> 2000-2009	9.278751	4.7409441	45898.078	16.340903	7	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3976	4.5335937	23314.966	26.112132	17.652745	1982-1999 –> 2000-2009	9.285324	4.7517300	45907.926	44.278042	5	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3976	4.6196924	23466.568	45.614315	19.090962	1982-1999 –> 2000-2009	9.338892	4.7191993	46009.430	85.377253	10	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4030	4.7405098	23993.171	57.914170	20.042351	2000-2009 –> 2010-2019	9.255100	4.5145899	47276.734	129.924873	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4030	4.7509855	24010.962	26.893244	20.285355	2000-2009 –> 2010-2019	9.275246	4.5242607	47311.541	69.035610	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4030	4.7505294	24010.188	82.844412	20.186682	2000-2009 –> 2010-2019	9.280552	4.5300223	47320.888	178.688215	4	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4030	4.7511740	24011.282	49.168521	20.371315	2000-2009 –> 2010-2019	9.283455	4.5322810	47325.945	109.011552	8	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4030	4.7539621	24014.010	23.376950	20.261652	2000-2009 –> 2010-2019	9.287556	4.5335937	47328.976	49.489081	12	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4030	4.7511997	24011.326	11.630747	20.445088	2000-2009 –> 2010-2019	9.288954	4.5377540	47335.586	31.042762	9	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4030	4.7528155	24012.066	7.384794	20.376765	2000-2009 –> 2010-2019	9.290622	4.5378066	47334.418	16.954882	11	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4030	4.7422002	23996.044	23.128400	19.881276	2000-2009 –> 2010-2019	9.302674	4.5604741	47360.020	53.202622	2	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	4030	4.7431858	23995.719	7.199981	19.948644	2000-2009 –> 2010-2019	9.306788	4.5636019	47363.147	16.559995	3	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4030	4.7509768	24010.948	31.881982	20.431290	2000-2009 –> 2010-2019	9.370669	4.6196924	47477.516	77.496297	5	15
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6516	3.3618131	34306.652	32.522177	12.179746	1982-1999 –> 2000-2009	7.157397	3.7955839	65757.363	63.746586	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6516	3.3628288	34310.589	29.061913	12.349062	1982-1999 –> 2000-2009	7.167277	3.8044483	65787.940	59.611727	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6516	3.3638644	34314.601	24.863529	12.728995	1982-1999 –> 2000-2009	7.182924	3.8190593	65835.727	51.996216	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6516	3.3645727	34315.345	11.553008	12.835912	1982-1999 –> 2000-2009	7.183648	3.8190752	65834.518	19.454097	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6516	3.3762505	34362.498	13.126361	12.633240	1982-1999 –> 2000-2009	7.225801	3.8495504	65974.438	25.053291	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6516	3.5043493	34847.798	47.927231	14.278097	1982-1999 –> 2000-2009	7.419697	3.9153478	66653.282	82.457832	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6516	3.5048571	34849.687	54.426893	14.512624	1982-1999 –> 2000-2009	7.429197	3.9243403	66681.369	100.400917	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	6516	3.5048739	34847.749	12.148772	14.562270	1982-1999 –> 2000-2009	7.456332	3.9514578	66756.073	20.114410	8	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6516	3.5170811	34895.060	22.118537	14.474725	1982-1999 –> 2000-2009	7.463079	3.9459981	66789.594	36.202397	9	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6516	3.5900407	35160.634	9.421894	20.042093	1982-1999 –> 2000-2009	7.914241	4.3241999	68098.386	20.104886	10	22
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6632	3.4065349	35092.427	21.742543	13.672942	2000-2009 –> 2010-2019	6.768348	3.3618131	69399.079	54.264719	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6632	3.4048485	35085.859	20.209335	14.233336	2000-2009 –> 2010-2019	6.768713	3.3638644	69400.461	45.072865	1	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6632	3.4059167	35090.020	21.113912	13.683084	2000-2009 –> 2010-2019	6.768745	3.3628288	69400.609	50.175825	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6632	3.4118004	35110.914	7.070282	14.527660	2000-2009 –> 2010-2019	6.776373	3.3645727	69426.259	18.623290	5	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6632	3.4076211	35096.656	9.022000	14.024899	2000-2009 –> 2010-2019	6.783872	3.3762505	69459.154	22.148362	4	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6632	3.5465513	35626.702	26.902147	15.790984	2000-2009 –> 2010-2019	7.050901	3.5043493	70474.500	74.829378	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6632	3.5467783	35627.551	38.896379	15.881376	2000-2009 –> 2010-2019	7.051635	3.5048571	70477.238	93.323272	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	6632	3.5469098	35626.043	7.621287	16.015967	2000-2009 –> 2010-2019	7.051784	3.5048739	70473.792	19.770059	8	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6632	3.5519885	35647.021	16.249068	15.883665	2000-2009 –> 2010-2019	7.069070	3.5170811	70542.081	38.367605	9	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6632	3.6153880	35879.683	8.232974	18.940045	2000-2009 –> 2010-2019	7.205429	3.5900407	71040.317	17.654868	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8624	3.2281143	44700.751	25.908225	19.368894	1982-1999 –> 2000-2009	6.438294	3.2101793	86606.391	58.482320	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8624	3.2339414	44731.858	37.994278	19.319503	1982-1999 –> 2000-2009	6.439037	3.2050956	86611.816	87.040448	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8624	3.2528973	44832.662	12.945462	19.134101	1982-1999 –> 2000-2009	6.459073	3.2061752	86718.078	28.414872	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8624	3.2702889	44924.633	11.784093	19.735927	1982-1999 –> 2000-2009	6.501694	3.2314055	86937.063	28.912321	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8624	3.2702890	44922.634	10.678417	19.736374	1982-1999 –> 2000-2009	6.519588	3.2492992	87022.545	26.446498	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8624	3.2731918	44939.937	57.821043	21.398414	1982-1999 –> 2000-2009	6.705750	3.4325584	87930.905	118.600636	8	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8624	3.2741364	44944.914	25.519646	21.372131	1982-1999 –> 2000-2009	6.706099	3.4319620	87933.067	54.548410	10	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8624	3.2717342	44932.254	15.384731	21.424430	1982-1999 –> 2000-2009	6.708914	3.4371800	87945.025	29.094153	6	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8624	3.2761191	44955.355	25.229299	20.045484	1982-1999 –> 2000-2009	6.740434	3.4643146	88095.545	51.674743	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8624	3.2733955	44941.010	32.708433	20.051747	1982-1999 –> 2000-2009	6.742543	3.4691471	88103.788	80.799116	9	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8100	3.3520444	42595.845	9.053691	17.861640	2000-2009 –> 2010-2019	6.604942	3.2528973	87428.508	21.999153	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8100	3.3855923	42757.172	33.765346	18.243167	2000-2009 –> 2010-2019	6.619534	3.2339414	87489.030	71.759624	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8100	3.4040978	42845.479	19.063882	18.485498	2000-2009 –> 2010-2019	6.632212	3.2281143	87546.231	44.972107	4	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8100	3.3655394	42660.934	12.019646	17.461150	2000-2009 –> 2010-2019	6.635828	3.2702889	87585.567	23.803739	2	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8100	3.4256337	42945.645	10.377667	18.572246	2000-2009 –> 2010-2019	6.695923	3.2702890	87868.279	21.056084	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8100	3.4668428	43141.362	9.723479	18.421559	2000-2009 –> 2010-2019	6.739156	3.2723133	88076.669	20.230560	6	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8100	3.4732837	43171.432	29.112552	18.440060	2000-2009 –> 2010-2019	6.746679	3.2733955	88112.442	61.820985	8	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8100	3.4808089	43206.492	16.511152	18.444491	2000-2009 –> 2010-2019	6.756928	3.2761191	88161.848	41.740450	10	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8100	3.4855614	43226.596	16.424803	18.796458	2000-2009 –> 2010-2019	6.801449	3.3158872	88388.060	40.640664	11	24
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8100	3.5359416	43461.074	10.424969	21.143545	2000-2009 –> 2010-2019	6.807676	3.2717342	88393.329	25.809700	12	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8212	3.1699218	42267.129	16.650587	18.125676	1982-1999 –> 2000-2009	5.906752	2.7368301	75935.830	31.272178	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8212	3.3889574	43364.505	15.437211	23.184710	1982-1999 –> 2000-2009	6.241982	2.8530243	77610.077	30.581793	11	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8212	3.3222927	43038.206	14.607685	18.466756	1982-1999 –> 2000-2009	6.277745	2.9554521	77773.142	29.045428	3	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8212	3.3301804	43077.154	51.618420	18.541834	1982-1999 –> 2000-2009	6.293629	2.9634485	77849.577	99.972684	5	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8212	3.3381909	43116.613	43.572695	18.805689	1982-1999 –> 2000-2009	6.306108	2.9679172	77909.942	86.109585	7	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	8212	3.3766957	43302.973	4.675230	19.901161	1982-1999 –> 2000-2009	6.373274	2.9965783	78227.640	10.266988	10	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8212	3.2850420	42853.015	13.721740	21.743881	1982-1999 –> 2000-2009	6.383484	3.0984424	78243.468	25.899894	2	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8212	3.3244172	43048.706	717.654006	16.931115	1982-1999 –> 2000-2009	6.479404	3.1549862	78690.065	1406.953469	4	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8212	3.3370568	43111.032	16.539157	16.957434	1982-1999 –> 2000-2009	6.491942	3.1548856	78751.948	31.558836	6	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8212	3.3392507	43121.826	40.619624	16.950647	1982-1999 –> 2000-2009	6.495889	3.1566388	78770.450	79.749196	8	24
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8664	3.1842410	44670.898	15.041932	14.998492	2000-2009 –> 2010-2019	6.354163	3.1699218	86938.027	31.692519	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8664	3.0930026	44167.145	11.420915	20.585999	2000-2009 –> 2010-2019	6.378045	3.2850420	87020.160	25.142655	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8664	3.2960549	45268.927	819.530705	15.945879	2000-2009 –> 2010-2019	6.576810	3.2807553	88100.496	1786.243580	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8664	3.3684463	45645.384	555.764275	16.720185	2000-2009 –> 2010-2019	6.692864	3.3244172	88694.090	1273.418281	4	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8664	3.3865006	45738.011	12.148618	16.514594	2000-2009 –> 2010-2019	6.708793	3.3222927	88776.218	26.756303	5	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8664	3.3913978	45763.051	39.500127	16.509316	2000-2009 –> 2010-2019	6.721578	3.3301804	88840.205	91.118547	6	12
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8664	3.3921945	45767.121	13.136938	17.398254	2000-2009 –> 2010-2019	6.729251	3.3370568	88878.153	29.676095	7	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8664	3.3928142	45770.286	33.077679	17.383638	2000-2009 –> 2010-2019	6.732065	3.3392507	88892.112	73.697302	8	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8664	3.4120953	45868.482	39.361612	16.686240	2000-2009 –> 2010-2019	6.750286	3.3381909	88985.094	82.934308	11	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8664	3.4106397	45861.088	49.183856	17.766218	2000-2009 –> 2010-2019	6.760527	3.3498869	89035.144	108.811650	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3473	1.8343457	14084.001	14.307871	9.712693	1982-1999 –> 2000-2009	3.485132	1.6507858	26010.859	26.790291	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3473	2.0207748	14756.326	26.328208	10.183580	1982-1999 –> 2000-2009	3.749613	1.7288380	26969.797	53.711849	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3473	2.0225656	14762.479	154.061183	10.135633	1982-1999 –> 2000-2009	3.754540	1.7319740	26987.194	311.318602	4	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3473	1.9975136	14675.907	16.212732	11.893532	1982-1999 –> 2000-2009	3.755677	1.7581632	26993.730	30.552930	2	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3473	2.0256521	14771.071	10.495585	9.881100	1982-1999 –> 2000-2009	3.777470	1.7518181	27064.464	20.437662	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3473	2.0396372	14820.861	63.023031	10.379526	1982-1999 –> 2000-2009	3.784062	1.7444251	27090.016	126.407136	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3473	2.1722625	15256.440	11.171707	11.897751	1982-1999 –> 2000-2009	4.044646	1.8723835	27962.760	21.438617	7	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3473	2.1817648	15288.758	21.806814	12.616114	1982-1999 –> 2000-2009	4.141744	1.9599793	28280.735	41.146087	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3473	2.1777368	15275.923	684.510868	10.635193	1982-1999 –> 2000-2009	4.144298	1.9665610	28288.698	1330.529634	8	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3473	2.2031460	15356.497	56.919081	12.818033	1982-1999 –> 2000-2009	4.179740	1.9765943	28400.844	105.199115	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4002	1.7423350	15815.214	13.826350	12.326154	2000-2009 –> 2010-2019	3.576681	1.8343457	29899.215	28.134221	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4002	1.9926576	16889.696	122.860077	12.068072	2000-2009 –> 2010-2019	4.015223	2.0225656	31652.175	276.921260	2	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4002	1.9966321	16905.644	21.212460	12.109336	2000-2009 –> 2010-2019	4.017407	2.0207748	31661.970	47.540667	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	4002	2.0180474	16989.036	8.697356	12.258233	2000-2009 –> 2010-2019	4.043699	2.0256521	31760.106	19.192941	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4002	2.0170632	16987.131	53.215841	12.254630	2000-2009 –> 2010-2019	4.056700	2.0396372	31807.992	116.238872	4	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4002	2.0942533	17287.717	16.756329	13.082474	2000-2009 –> 2010-2019	4.091767	1.9975136	31963.624	32.969061	6	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4002	2.1245931	17402.841	627.964473	12.807873	2000-2009 –> 2010-2019	4.302330	2.1777368	32678.764	1312.475341	7	15
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4002	2.1822093	17617.008	85.245817	13.367972	2000-2009 –> 2010-2019	4.407038	2.2248286	33041.531	194.768243	8	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4002	2.1927437	17655.554	18.920302	13.475942	2000-2009 –> 2010-2019	4.423060	2.2303158	33097.187	41.031966	9	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4002	2.2432766	17837.916	19.356382	13.401620	2000-2009 –> 2010-2019	4.425041	2.1817648	33126.675	41.163196	11	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4668	1.5059443	17083.557	13.360662	8.028301	1982-1999 –> 2000-2009	2.863680	1.3577358	32023.604	24.576196	1	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4668	1.5776305	17517.717	26.193893	7.817219	1982-1999 –> 2000-2009	2.919070	1.3414396	32353.266	57.060001	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4668	1.5764445	17510.696	235.006925	7.801341	1982-1999 –> 2000-2009	2.920344	1.3438991	32362.097	486.297105	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4668	1.5922664	17603.929	51.996232	7.938956	1982-1999 –> 2000-2009	2.943511	1.3512446	32502.503	112.720602	5	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4668	1.5796141	17527.448	11.436567	7.835452	1982-1999 –> 2000-2009	2.949733	1.3701188	32544.065	21.690734	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4668	1.6759321	18082.036	15.258331	9.319279	1982-1999 –> 2000-2009	3.068243	1.3923105	33239.698	29.106572	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4668	1.7507215	18489.631	19.853865	9.945753	1982-1999 –> 2000-2009	3.198449	1.4477273	33985.062	39.012429	8	15
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4668	1.7672452	18577.334	102.953174	10.038652	1982-1999 –> 2000-2009	3.228866	1.4616211	34155.420	201.245604	12	22
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4668	1.7680582	18581.628	40.557127	10.042233	1982-1999 –> 2000-2009	3.229102	1.4610440	34156.297	81.035805	13	22
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate	4668	1.7684235	18581.556	9.515336	10.039558	1982-1999 –> 2000-2009	3.230523	1.4621000	34160.477	18.334843	14	25
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4844	1.6659697	18705.503	11.777567	9.082457	2000-2009 –> 2010-2019	3.171914	1.5059443	35789.060	25.138228	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4844	1.7030544	18918.794	202.357054	8.720199	2000-2009 –> 2010-2019	3.279499	1.5764445	36429.490	437.363979	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4844	1.7085147	18949.806	21.919555	8.743789	2000-2009 –> 2010-2019	3.286145	1.5776305	36467.523	48.113447	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4844	1.7389801	19119.035	9.108892	8.936438	2000-2009 –> 2010-2019	3.318594	1.5796141	36646.483	20.545458	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4844	1.7270230	19054.191	45.209451	8.772529	2000-2009 –> 2010-2019	3.319289	1.5922664	36658.120	97.205683	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4844	1.8210833	19567.969	572.387049	8.501178	2000-2009 –> 2010-2019	3.558959	1.7378758	37988.847	1239.124900	6	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4844	1.8241665	19582.358	522.231460	8.480165	2000-2009 –> 2010-2019	3.578251	1.7540841	38087.904	1114.544727	7	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4844	1.9040970	19999.825	13.532985	9.586583	2000-2009 –> 2010-2019	3.580029	1.6759321	38081.860	28.791316	14	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4844	1.8634002	19790.516	124.766056	8.570269	2000-2009 –> 2010-2019	3.621511	1.7581113	38319.472	269.551841	8	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4844	1.8737951	19844.410	18.382632	8.435407	2000-2009 –> 2010-2019	3.636178	1.7623832	38396.023	37.143241	10	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6705	1.5202249	24658.855	23.896630	10.108731	1982-1999 –> 2000-2009	2.840079	1.3198546	49217.240	52.374633	1	6
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6705	1.5207155	24663.182	304.697779	10.071761	1982-1999 –> 2000-2009	2.852094	1.3313787	49347.344	617.404743	2	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6705	1.5294194	24739.717	36.305177	10.274869	1982-1999 –> 2000-2009	2.860543	1.3311238	49421.108	75.257252	5	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6705	1.6152285	25471.745	17.413995	11.792712	1982-1999 –> 2000-2009	2.929320	1.3140915	49966.817	39.442685	6	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6705	1.6294551	25587.340	15.938090	11.596387	1982-1999 –> 2000-2009	2.960843	1.3313875	50269.597	35.639284	7	16
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6705	1.6606961	25844.012	24.949001	12.099130	1982-1999 –> 2000-2009	2.963982	1.3032859	50219.625	50.272127	8	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6705	1.5210396	24666.040	16.511103	9.995424	1982-1999 –> 2000-2009	2.983526	1.4624864	50709.079	37.409897	3	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6705	1.5210431	24664.071	15.814675	9.997642	1982-1999 –> 2000-2009	2.983535	1.4624915	50705.161	35.165441	4	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6705	1.6656903	25884.279	324.036969	12.125059	1982-1999 –> 2000-2009	2.983558	1.3178677	50420.868	640.482534	9	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6705	1.6714391	25930.482	36.138272	12.277007	1982-1999 –> 2000-2009	2.986490	1.3150506	50436.110	73.746297	10	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7539	2.0765775	32426.568	14.511903	10.251199	2000-2009 –> 2010-2019	3.597617	1.5210396	57092.608	31.023006	4	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7539	2.0938599	32551.536	261.919896	10.548197	2000-2009 –> 2010-2019	3.614575	1.5207155	57214.719	566.617675	6	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7539	2.0965677	32571.022	19.600398	10.584718	2000-2009 –> 2010-2019	3.616793	1.5202249	57229.878	43.497027	8	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7539	2.1004996	32597.274	13.396814	10.612843	2000-2009 –> 2010-2019	3.621543	1.5210431	57261.345	29.211489	9	13
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7539	2.1112237	32676.058	28.873816	10.722186	2000-2009 –> 2010-2019	3.640643	1.5294194	57415.775	65.178993	10	15
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	7539	2.0260616	32055.237	626.697164	9.287682	2000-2009 –> 2010-2019	3.759445	1.7333837	58473.714	1400.978334	1	14
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7539	2.0588260	32297.120	186.788571	9.776627	2000-2009 –> 2010-2019	3.797676	1.7388500	58757.819	404.425853	2	16
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7539	2.0652552	32344.132	12.832071	9.851629	2000-2009 –> 2010-2019	3.806318	1.7410623	58821.882	29.378090	3	18
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7539	2.0775013	32433.274	19.886323	9.991108	2000-2009 –> 2010-2019	3.822147	1.7446460	58938.598	44.275132	5	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7539	2.2244726	33463.915	15.558711	10.920029	2000-2009 –> 2010-2019	3.839701	1.6152285	58935.660	32.972706	16	22
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3580	1.2397274	11712.223	59.181537	10.798764	1982-1999 –> 2000-2009	2.433629	1.1939020	24757.318	112.381380	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3580	1.2408311	11718.594	270.589136	10.802768	1982-1999 –> 2000-2009	2.439481	1.1986503	24796.094	531.764818	2	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3580	1.2434478	11733.678	59.181243	10.854555	1982-1999 –> 2000-2009	2.441061	1.1976130	24804.110	112.375817	5	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3580	1.2410695	11719.970	57.165728	10.648251	1982-1999 –> 2000-2009	2.462831	1.2217611	24953.379	108.285109	3	9
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3580	1.2420569	11725.665	251.908578	10.654149	1982-1999 –> 2000-2009	2.467967	1.2259104	24986.753	510.111144	4	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3580	1.2457024	11744.648	56.361514	10.719236	1982-1999 –> 2000-2009	2.469949	1.2242461	24992.646	107.396940	7	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3580	1.2447669	11741.269	57.158052	10.706391	1982-1999 –> 2000-2009	2.470030	1.2252636	24998.049	108.246920	6	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	3580	1.2465106	11749.293	230.576541	10.720868	1982-1999 –> 2000-2009	2.474740	1.2282299	25023.813	460.872034	8	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3580	1.2492545	11765.036	56.356400	10.773809	1982-1999 –> 2000-2009	2.476857	1.2276022	25035.383	107.368977	9	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3580	1.3006807	12055.876	38.574349	11.439911	1982-1999 –> 2000-2009	2.501631	1.2009501	25149.025	82.121194	14	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5001	1.6437829	19177.220	43.237373	17.434395	2000-2009 –> 2010-2019	2.884852	1.2410695	30897.190	100.403101	2	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5001	1.6452675	19186.249	235.054939	17.434588	2000-2009 –> 2010-2019	2.887324	1.2420569	30911.913	486.963517	5	9
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5001	1.6474228	19199.343	43.290999	17.553004	2000-2009 –> 2010-2019	2.892190	1.2447669	30940.612	100.449052	9	15
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5001	1.6543076	19241.055	46.280704	17.640504	2000-2009 –> 2010-2019	2.894035	1.2397274	30953.279	105.462240	10	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5001	1.6552446	19246.719	223.963692	17.604411	2000-2009 –> 2010-2019	2.896076	1.2408311	30965.313	494.552828	12	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5001	1.6460456	19190.978	28.527449	15.648174	2000-2009 –> 2010-2019	2.898402	1.2523569	30975.773	67.810586	6	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5001	1.6543905	19239.556	43.066822	17.691607	2000-2009 –> 2010-2019	2.900093	1.2457024	30984.205	99.428336	11	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5001	1.6576466	19261.223	46.302192	17.737035	2000-2009 –> 2010-2019	2.901094	1.2434478	30994.901	105.483435	17	22
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	5001	1.6553755	19245.510	198.602512	17.669767	2000-2009 –> 2010-2019	2.901886	1.2465106	30994.802	429.179052	13	21
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5001	1.6577632	19259.927	43.110790	17.798327	2000-2009 –> 2010-2019	2.907018	1.2492545	31024.963	99.467190	18	27
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6734	1.2715261	22359.518	177.697436	11.090040	1982-1999 –> 2000-2009	2.614797	1.3432708	46654.695	307.914805	4	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6734	1.2725838	22370.717	177.769538	11.087005	1982-1999 –> 2000-2009	2.616751	1.3441670	46675.342	307.975656	6	8
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6734	1.2738975	22384.612	352.654454	11.080679	1982-1999 –> 2000-2009	2.619316	1.3454182	46702.418	622.660684	8	11
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6734	1.2684433	22326.825	47.309809	10.606351	1982-1999 –> 2000-2009	2.646886	1.3784430	46988.151	79.293334	1	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6734	1.2693383	22336.325	47.252321	10.608237	1982-1999 –> 2000-2009	2.648225	1.3788868	47002.211	79.227211	2	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6734	1.2705036	22348.683	88.797572	10.597923	1982-1999 –> 2000-2009	2.650467	1.3799632	47025.624	163.855697	3	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6734	1.2718175	22360.604	26.052281	11.026517	1982-1999 –> 2000-2009	2.657952	1.3861351	47098.760	47.217900	5	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6734	1.2727864	22370.860	26.053583	11.033489	1982-1999 –> 2000-2009	2.659319	1.3865323	47113.075	47.221549	7	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	6734	1.2740705	22384.441	50.573724	11.031024	1982-1999 –> 2000-2009	2.661576	1.3875060	47136.601	102.967643	9	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6734	1.2882534	22535.538	252.889831	9.023438	1982-1999 –> 2000-2009	2.756490	1.4682363	48090.842	443.848020	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	8313	1.4590989	29886.892	25.117909	11.710565	2000-2009 –> 2010-2019	2.727542	1.2684433	52213.717	72.427718	9	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	8313	1.4592380	29888.476	25.098233	11.715769	2000-2009 –> 2010-2019	2.728576	1.2693383	52224.801	72.350554	10	12
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	8313	1.4596115	29892.731	84.697689	11.725493	2000-2009 –> 2010-2019	2.730115	1.2705036	52241.414	173.495261	11	14
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8313	1.4521935	29808.019	242.264150	12.368123	2000-2009 –> 2010-2019	2.740447	1.2882534	52343.558	495.153981	3	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8313	1.4697053	30007.312	169.945256	12.756075	2000-2009 –> 2010-2019	2.741232	1.2715261	52366.830	347.642692	20	24
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	8313	1.4703171	30012.231	13.867830	12.637693	2000-2009 –> 2010-2019	2.742135	1.2718175	52372.835	39.920111	22	27
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8313	1.4699413	30009.980	170.158807	12.762949	2000-2009 –> 2010-2019	2.742525	1.2725838	52380.697	347.928345	21	27
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	8313	1.4705141	30014.459	13.872273	12.646528	2000-2009 –> 2010-2019	2.743301	1.2727864	52385.319	39.925857	24	31
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8313	1.4704602	30015.849	360.439172	12.779573	2000-2009 –> 2010-2019	2.744358	1.2738975	52400.461	713.093626	23	31
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	8313	1.4710222	30020.202	48.190202	12.663359	2000-2009 –> 2010-2019	2.745093	1.2740705	52404.643	98.763926	27	36
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3695	0.9296751	9961.076	213.948234	6.067592	1982-1999 –> 2000-2009	2.628479	1.6988043	24486.312	404.277760	1	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3695	0.9370134	10019.179	147.785395	6.042743	1982-1999 –> 2000-2009	2.630052	1.6930390	24519.101	296.937845	4	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3695	0.9323932	9982.651	152.889171	6.058275	1982-1999 –> 2000-2009	2.630511	1.6981175	24504.875	302.442730	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3695	0.9303801	9966.678	150.364845	6.072711	1982-1999 –> 2000-2009	2.632177	1.7017965	24505.017	310.371414	2	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3695	0.9643633	10231.794	158.114370	6.870382	1982-1999 –> 2000-2009	2.856365	1.8920018	25559.043	320.212839	13	34
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3695	0.9657647	10240.525	149.113562	6.980509	1982-1999 –> 2000-2009	2.880950	1.9151853	25656.459	309.112302	15	42
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3695	1.3989727	12981.061	157.690710	7.874036	1982-1999 –> 2000-2009	3.080129	1.6811564	27428.540	305.530523	21	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3695	1.2946730	12408.484	10.480006	7.672808	1982-1999 –> 2000-2009	3.113621	1.8189476	27442.530	24.221446	17	25
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3695	0.9507492	10126.724	156.305257	6.362687	1982-1999 –> 2000-2009	3.128881	2.1781317	26502.609	318.422611	8	42
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3695	1.4184909	13081.452	150.576485	8.258734	1982-1999 –> 2000-2009	3.130265	1.7117744	27661.320	292.645429	22	28
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4446	1.0769059	13290.028	354.789944	17.620345	2000-2009 –> 2010-2019	2.006581	0.9296751	23251.104	568.738178	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4446	1.0775390	13295.254	263.794508	17.623972	2000-2009 –> 2010-2019	2.007919	0.9303801	23261.932	414.159353	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4446	1.0792132	13309.059	259.860013	17.621193	2000-2009 –> 2010-2019	2.011606	0.9323932	23291.709	412.749184	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4446	1.0833197	13342.830	259.521326	17.641466	2000-2009 –> 2010-2019	2.020333	0.9370134	23362.009	407.306721	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4446	1.1137655	13589.285	252.906021	18.278279	2000-2009 –> 2010-2019	2.063170	0.9494048	23705.551	396.066086	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4446	1.1138550	13587.999	252.788570	18.313045	2000-2009 –> 2010-2019	2.063634	0.9497791	23705.179	395.852384	6	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4446	1.1171839	13616.535	249.950585	18.366882	2000-2009 –> 2010-2019	2.067251	0.9500673	23737.957	403.088664	7	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4446	1.1173276	13615.678	249.774810	18.411080	2000-2009 –> 2010-2019	2.068119	0.9507911	23740.728	392.322730	8	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4446	1.1191235	13631.959	266.197659	18.400004	2000-2009 –> 2010-2019	2.069873	0.9507492	23758.683	422.502916	9	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4446	1.1195000	13634.949	316.801683	18.406768	2000-2009 –> 2010-2019	2.070370	0.9508696	23762.609	485.590514	11	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	825	0.6984550	1763.089	48.508295	4.835070	1982-1999 –> 2000-2009	1.389550	0.6910951	3987.253	78.132397	10	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	825	0.6982586	1762.625	6.534572	4.826691	1982-1999 –> 2000-2009	1.389948	0.6916895	3988.600	10.398889	9	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	825	0.6982364	1762.573	7.014495	4.825779	1982-1999 –> 2000-2009	1.389995	0.6917590	3988.759	11.832741	8	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	825	0.6981484	1762.365	183.452143	4.821538	1982-1999 –> 2000-2009	1.390100	0.6919516	3989.137	289.032762	7	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	825	0.6334889	1602.002	41.015734	1.850976	1982-1999 –> 2000-2009	1.393156	0.7596673	4025.401	65.302032	1	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	825	0.7237418	1821.770	7.094619	5.084487	1982-1999 –> 2000-2009	1.429736	0.7059944	4090.855	12.034278	11	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	825	0.6621272	1674.957	376.545208	1.716542	1982-1999 –> 2000-2009	1.480651	0.8185233	4255.508	769.591304	5	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	825	0.6620631	1674.798	329.982804	1.716276	1982-1999 –> 2000-2009	1.481299	0.8192363	4257.182	652.771525	4	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	825	0.6615900	1673.618	339.422088	1.714346	1982-1999 –> 2000-2009	1.481373	0.8197834	4257.409	661.028902	3	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	825	0.6612570	1672.788	719.962620	1.712568	1982-1999 –> 2000-2009	1.481483	0.8202261	4257.715	1178.790440	2	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1167	0.5346129	1864.223	7.428995	3.809052	2000-2009 –> 2010-2019	1.168102	0.6334889	3466.225	48.444729	4	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1167	0.5279260	1834.846	876.884725	4.870073	2000-2009 –> 2010-2019	1.189183	0.6612570	3507.633	1596.847346	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1167	0.5287540	1838.503	869.662327	4.873553	2000-2009 –> 2010-2019	1.190817	0.6620631	3513.301	1199.645131	3	6
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1167	0.5835981	2066.844	7.428459	3.279310	2000-2009 –> 2010-2019	1.247903	0.6643045	3745.219	43.858380	6	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1167	0.5039694	1726.453	962.068283	5.962483	2000-2009 –> 2010-2019	1.248039	0.7440697	3593.928	1272.062044	1	11
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1167	0.6168343	2198.119	97.405483	4.035150	2000-2009 –> 2010-2019	1.314983	0.6981484	3960.484	280.857626	10	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1167	0.6168199	2198.065	8.325456	4.037321	2000-2009 –> 2010-2019	1.315056	0.6982364	3960.637	15.339950	9	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1167	0.6168129	2198.038	4.502943	4.038439	2000-2009 –> 2010-2019	1.315071	0.6982586	3960.663	11.037515	8	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1167	0.6167773	2197.903	8.696117	4.044362	2000-2009 –> 2010-2019	1.315232	0.6984550	3960.992	57.204412	7	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1167	0.5461407	1912.016	874.387883	6.047029	2000-2009 –> 2010-2019	1.323502	0.7773610	3849.711	1161.004515	5	22

5.4.2 per fitting unit

lm_best %>%
  select(-n_predictors) %>%
  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 –> 2000-2009	9.644090	7203.870
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.509435	6588.623
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.354637	8347.032
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	11.789250	7421.773
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	9.997015	7452.575
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	10.753942	5745.463
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	9.524978	14624.259
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.682127	11669.531
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	8.383932	24462.001
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	8.963208	20119.806
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.395363	46907.069
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.365154	41174.939
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.369190	80411.433
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.207223	71205.324
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.598828	31903.305
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.469165	30652.953
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.895035	75127.020
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.075150	66900.532
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	8.441092	122712.642
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	8.070233	80523.719
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.065339	24491.452
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.064048	20414.845
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.423899	23870.322
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.155234	21257.703
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	9.191171	18763.038
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.085647	15386.555
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.609991	32046.560
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.634338	25333.237
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	18.095625	63188.531
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	17.908189	75984.312
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	12.395590	44259.611
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	14.061953	41148.891
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.755086	36359.520
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	11.005996	36164.773
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.253737	45861.554
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.294161	47343.477
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.359959	66416.869
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	6.929487	70009.349
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.596143	87390.422
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.704033	87904.996
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.325021	77976.214
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.640438	88415.970
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.881692	27404.910
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.135895	32068.924
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.055152	33148.249
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.435037	37286.478
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.934397	50071.295
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.711646	58014.200
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.463818	24949.657
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.896297	30964.295
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.653178	47048.772
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.738532	52333.428
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	2.871143	25826.581
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.044886	23557.746
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.430729	4109.782
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.262789	3751.879

5.5 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)

5.6 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/

5.7 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)

5.8 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

if (params_local$MLR_criterion != "rank") {
lm_all_fitted_wide %>%
  ggplot(aes(as.factor(n_predictors),
             !!sym(params_local$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")
}

6.1.2 Best models

if (params_local$MLR_criterion != "rank") {
lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$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")
}

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
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	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
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
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
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	nitrate	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	9	10	7	7	4	3	7
(26,26.5]	5	10	7	4	6	10	6
(26.5,26.75]	8	7	5	5	7	10	7
(26.75,27]	7	6	5	6	5	9	9
(27,27.25]	7	10	7	6	4	4	9
(27.25,27.5]	9	10	4	4	4	10	5
(27.5,27.75]	7	10	5	5	6	9	6
(27.75,27.85]	8	10	5	5	4	10	6
(27.85,27.95]	8	10	6	6	5	6	8
(27.95,28.05]	5	3	5	7	10	6	9
(28.05,28.1]	6	1	6	8	6	10	8
(28.1,28.15]	8	2	7	6	8	8	7
(28.15,28.2]	7	4	4	6	5	10	9
(28.2, Inf]	7	5	3	7	10	8	7
total	101.00	98.00	76.00	82.00	84.00	113.00	103.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	10	10	5	8	4	5	5
(26,26.5]	6	10	6	4	5	10	7
(26.5,26.75]	8	8	4	5	6	10	7
(26.75,27]	8	7	5	6	6	7	9
(27,27.25]	7	10	7	6	4	4	9
(27.25,27.5]	9	10	4	4	4	10	5
(27.5,27.75]	8	10	5	5	5	10	5
(27.75,27.85]	8	10	5	5	4	10	6
(27.85,27.95]	9	10	6	5	5	7	7
(27.95,28.05]	6	3	6	7	10	7	7
(28.05,28.1]	9	4	10	5	5	4	5
(28.1,28.15]	9	2	7	6	7	7	6
(28.15,28.2]	5	3	4	7	6	10	10
(28.2, Inf]	6	6	3	7	10	8	7
total	108.00	103.00	77.00	80.00	81.00	109.00	95.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	6	6	6	10	5	8
(26,26.5]	9	10	4	4	4	10	5
(26.5,26.75]	8	10	5	5	5	10	4
(26.75,27]	7	10	6	6	4	10	4
(27,27.25]	4	10	8	5	5	10	5
(27.25,27.5]	5	10	8	5	7	8	6
(27.5,27.75]	7	10	6	5	7	6	8
(27.75,27.85]	6	8	6	5	9	5	9
(27.85,27.95]	6	6	6	4	10	6	10
(27.95,28.05]	6	7	6	4	10	5	10
(28.05,28.1]	6	4	7	6	10	4	10
(28.1,28.2]	7	4	6	7	10	4	9
(28.2,28.3]	6	10	8	6	9	4	5
(28.3, Inf]	7	6	6	7	10	6	8
total	92.00	111.00	88.00	75.00	110.00	93.00	101.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	7	6	5	10	5	8
(26,26.5]	8	10	5	4	4	10	6
(26.5,26.75]	9	10	4	4	4	10	5
(26.75,27]	7	10	6	6	4	10	4
(27,27.25]	4	10	8	5	5	10	5
(27.25,27.5]	6	10	7	5	9	6	5
(27.5,27.75]	7	10	7	6	6	6	8
(27.75,27.85]	8	9	5	5	7	6	9
(27.85,27.95]	8	10	6	5	6	5	8
(27.95,28.05]	7	10	6	5	6	6	9
(28.05,28.1]	7	4	6	6	10	4	10
(28.1,28.2]	7	4	6	7	10	4	9
(28.2,28.3]	7	10	7	8	4	4	8
(28.3, Inf]	7	6	6	7	10	6	6
total	100.00	120.00	85.00	78.00	95.00	92.00	100.00

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
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	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
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
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
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] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] 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                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1