eMLR - model fitting

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Last updated: 2021-08-05

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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R Markdown file: up-to-date

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Seed: set.seed(20200707)

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Session information: recorded

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Repository version: f138ee9

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Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_model_fitting.Rmd) and HTML (docs/eMLR_model_fitting.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
html	3253031	Donghe-Zhu	2021-08-05	Build site.
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html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
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html	9baa3b2	Donghe-Zhu	2021-06-06	debug
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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_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

# 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 ~ sal + aou + nitrate + silicate + phosphate_star	2586	9.3192119	18897.058	28.820707	45.545513	1982-1999 –> 2000-2009	18.513170	9.1939584	40146.696	89.307397	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2586	9.3454053	18911.574	237.235867	45.149757	1982-1999 –> 2000-2009	19.184621	9.8392157	40557.201	309.557916	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2586	9.3308959	18903.538	181.627612	46.149952	1982-1999 –> 2000-2009	19.247654	9.9167584	40594.993	253.877720	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2586	9.3495665	18911.877	28.178839	43.112322	1982-1999 –> 2000-2009	19.946086	10.5965196	40988.388	88.652012	4	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2586	10.1508201	19339.142	249.007678	60.509954	1982-1999 –> 2000-2009	20.205259	10.0544389	41111.092	321.043179	5	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2586	11.1007573	19801.823	409.886853	56.385368	1982-1999 –> 2000-2009	21.183802	10.0830445	41590.359	503.387686	6	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2586	13.0252031	20628.685	69.506735	31.360090	1982-1999 –> 2000-2009	22.380667	9.3554639	41979.986	117.330265	14	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2586	12.1063460	20250.321	13.324806	42.089488	1982-1999 –> 2000-2009	22.522821	10.4164750	42228.787	48.588982	7	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2586	13.0274680	20627.585	61.350762	30.911557	1982-1999 –> 2000-2009	23.159147	10.1316793	42442.212	106.364942	15	22
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2586	12.3624225	20356.579	13.245363	33.616019	1982-1999 –> 2000-2009	23.443050	11.0806270	42693.890	46.046679	8	25
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3330	8.9810918	24083.640	98.441552	68.991915	2000-2009 –> 2010-2019	18.311988	9.3308959	42987.178	280.069164	2	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3330	8.9719466	24076.854	92.941928	73.796293	2000-2009 –> 2010-2019	18.317352	9.3454053	42988.429	330.177795	1	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3330	9.0457322	24131.402	88.256599	61.962116	2000-2009 –> 2010-2019	19.196552	10.1508201	43470.544	337.264277	3	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3330	10.1572996	24903.293	58.838770	110.899883	2000-2009 –> 2010-2019	19.476511	9.3192119	43800.351	87.659477	25	26
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3330	10.4806587	25110.011	53.245830	135.574607	2000-2009 –> 2010-2019	19.830225	9.3495665	44021.887	81.424669	35	39
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3330	9.1119435	24179.974	120.238499	55.496186	2000-2009 –> 2010-2019	20.212701	11.1007573	43981.797	530.125352	4	10
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3330	9.2240467	24261.411	23.728448	40.228206	2000-2009 –> 2010-2019	21.330393	12.1063460	44511.731	37.053254	5	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3330	9.3371896	24342.606	12.274826	30.258712	2000-2009 –> 2010-2019	21.948637	12.6114478	44804.333	23.204730	6	17
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3330	9.7492168	24630.196	117.677401	64.449242	2000-2009 –> 2010-2019	22.219190	12.4699729	45033.575	532.299876	18	27
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + phosphate + phosphate_star	3330	9.8508333	24699.254	499.542976	50.705443	2000-2009 –> 2010-2019	22.379067	12.5282332	45126.741	1014.630774	20	30
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1108	8.0843871	7789.663	348.226359	26.464495	1982-1999 –> 2000-2009	14.759046	6.6746593	13283.771	413.146597	4	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1108	7.9513502	7752.893	610.584349	22.865232	1982-1999 –> 2000-2009	14.915548	6.9641973	13317.152	703.954885	1	10
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1108	8.0618387	7783.474	555.255534	23.153150	1982-1999 –> 2000-2009	15.013863	6.9520244	13344.843	663.422291	3	11
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1108	8.1401964	7804.908	532.831216	23.409808	1982-1999 –> 2000-2009	15.053480	6.9132842	13357.046	597.735357	5	12
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1108	8.3939011	7872.920	538.805798	26.210033	1982-1999 –> 2000-2009	15.112081	6.7181795	13377.764	647.026810	11	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1108	7.9898976	7763.610	27.536525	24.640204	1982-1999 –> 2000-2009	15.181938	7.1920406	13381.051	55.329097	2	22
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1108	8.3423655	7859.272	555.454092	24.625992	1982-1999 –> 2000-2009	15.216900	6.8745348	13402.124	823.460841	10	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1108	8.1655027	7811.787	26.819963	31.234259	1982-1999 –> 2000-2009	15.249048	7.0835454	13404.117	46.637401	6	22
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1108	8.2132377	7824.704	26.655196	31.109336	1982-1999 –> 2000-2009	15.292082	7.0788443	13415.937	46.458092	8	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1108	8.2980573	7847.471	26.987292	30.500301	1982-1999 –> 2000-2009	15.379644	7.0815866	13439.344	73.683386	9	23
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	832	5.3359728	5161.434	61.976222	15.043795	2000-2009 –> 2010-2019	13.287323	7.9513502	12914.327	672.560571	4	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	832	5.3126966	5154.159	61.277380	15.038966	2000-2009 –> 2010-2019	13.374535	8.0618387	12937.633	616.532914	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	832	5.2833794	5144.951	45.193373	15.366491	2000-2009 –> 2010-2019	13.423576	8.1401964	12949.860	578.024588	2	7
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	832	5.4405110	5193.718	45.601343	15.025156	2000-2009 –> 2010-2019	13.524898	8.0843871	12983.381	393.827702	5	9
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	832	5.2547041	5135.896	129.659446	15.361408	2000-2009 –> 2010-2019	13.597070	8.3423655	12995.168	685.113537	1	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	832	5.8785271	5322.567	23.260646	15.895488	2000-2009 –> 2010-2019	13.868425	7.9898976	13086.177	50.797171	9	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	832	5.9201827	5334.317	18.468177	25.622539	2000-2009 –> 2010-2019	14.085685	8.1655027	13146.104	45.288139	13	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	832	5.9006661	5328.822	18.125354	25.843172	2000-2009 –> 2010-2019	14.113904	8.2132377	13153.526	44.780550	10	18
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	832	5.9524625	5341.365	23.158145	15.094164	2000-2009 –> 2010-2019	14.158922	8.2064595	13162.239	39.091468	16	23
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	832	5.7677549	5290.912	60.020914	17.243999	2000-2009 –> 2010-2019	14.161656	8.3939011	13163.832	598.826711	6	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	760	6.5524913	5028.151	46.904755	17.047495	1982-1999 –> 2000-2009	11.597736	5.0452443	11985.613	106.413752	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	760	6.6795234	5057.337	616.867169	19.515857	1982-1999 –> 2000-2009	11.725067	5.0455438	12014.934	694.097195	5	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	760	6.7039919	5062.895	612.765689	21.426714	1982-1999 –> 2000-2009	11.753149	5.0491575	12022.129	684.310042	6	10
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	760	6.7086596	5063.953	691.776031	21.875661	1982-1999 –> 2000-2009	11.756786	5.0481262	12022.720	1086.154049	7	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	760	6.7123688	5062.793	29.674141	22.013755	1982-1999 –> 2000-2009	11.771432	5.0590635	12024.508	88.569371	9	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	760	6.6364062	5047.494	425.132004	17.768939	1982-1999 –> 2000-2009	11.783926	5.1475203	12050.833	486.784221	2	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	760	6.7111208	5064.511	47.445822	28.029268	1982-1999 –> 2000-2009	11.840135	5.1290145	12059.617	111.362348	8	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	760	6.7204038	5066.612	47.273935	28.012419	1982-1999 –> 2000-2009	11.855173	5.1347692	12064.281	116.666458	10	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	760	6.6606416	5053.035	705.803508	18.005312	1982-1999 –> 2000-2009	11.859138	5.1984965	12078.901	1038.042021	3	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	760	6.7543445	5074.269	47.351899	27.997715	1982-1999 –> 2000-2009	11.888447	5.1341025	12071.642	429.146199	11	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	602	5.4793776	3770.396	48.448489	12.805879	2000-2009 –> 2010-2019	12.031869	6.5524913	8798.547	95.353244	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	602	5.4946251	3773.742	67.244989	12.691948	2000-2009 –> 2010-2019	12.174148	6.6795234	8831.079	684.112158	2	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	602	5.5765757	3791.566	47.225987	13.787995	2000-2009 –> 2010-2019	12.212982	6.6364062	8839.060	472.357991	7	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	602	5.5098601	3777.075	47.148749	12.599028	2000-2009 –> 2010-2019	12.213852	6.7039919	8839.971	659.914437	3	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	602	5.5100347	3777.113	136.563544	12.536444	2000-2009 –> 2010-2019	12.218694	6.7086596	8841.067	828.339575	4	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	602	5.5100363	3775.114	29.772996	12.541633	2000-2009 –> 2010-2019	12.222405	6.7123688	8837.907	59.447137	5	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	602	5.5767917	3791.613	138.739399	14.007592	2000-2009 –> 2010-2019	12.237433	6.6606416	8844.647	844.542907	8	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	602	5.5778593	3789.843	30.584307	13.926215	2000-2009 –> 2010-2019	12.239740	6.6618813	8841.161	60.697677	9	13
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	602	5.5741139	3791.035	610.676660	12.819337	2000-2009 –> 2010-2019	12.377322	6.8032082	8876.260	1254.149478	6	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	602	5.7309121	3824.435	52.849741	13.879954	2000-2009 –> 2010-2019	12.442033	6.7111208	8888.946	100.295563	11	19
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1009	6.2415118	6572.825	175.238791	25.036603	1982-1999 –> 2000-2009	10.788347	4.5468355	17141.090	226.923447	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1009	6.2524247	6576.350	307.928134	26.883362	1982-1999 –> 2000-2009	10.793266	4.5408410	17139.869	513.022748	3	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1009	6.2352366	6570.795	206.346581	23.013450	1982-1999 –> 2000-2009	10.803581	4.5683441	17156.040	282.277902	1	5
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1009	6.3478965	6606.931	326.922257	33.900110	1982-1999 –> 2000-2009	10.887161	4.5392642	17169.200	1026.719991	5	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1009	6.3251939	6599.701	48.011145	22.454139	1982-1999 –> 2000-2009	10.912203	4.5870094	17199.617	91.964862	4	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1009	6.3595293	6610.626	54.998350	21.637088	1982-1999 –> 2000-2009	11.000221	4.6406916	17252.405	108.192081	7	17
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1009	6.3783901	6616.602	62.012664	24.942911	1982-1999 –> 2000-2009	11.004667	4.6262773	17247.188	245.124411	8	16
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1009	6.3570895	6609.852	54.865314	20.794228	1982-1999 –> 2000-2009	11.018868	4.6617786	17267.943	108.148985	6	18
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1009	6.4320106	6631.495	30.886161	27.137050	1982-1999 –> 2000-2009	11.025127	4.5931164	17234.199	73.203094	13	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1009	6.3846243	6616.573	26.503899	23.827476	1982-1999 –> 2000-2009	11.031507	4.6468825	17261.149	78.162440	10	21
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	949	5.1467128	5816.749	48.397254	17.543130	2000-2009 –> 2010-2019	11.381949	6.2352366	12387.544	254.743836	4	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	949	5.1420049	5815.012	35.196435	18.209069	2000-2009 –> 2010-2019	11.383517	6.2415118	12387.837	210.435226	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	949	5.1359552	5812.778	154.420112	19.524494	2000-2009 –> 2010-2019	11.388380	6.2524247	12389.128	462.348246	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	949	5.1430422	5815.395	937.807231	22.646708	2000-2009 –> 2010-2019	11.490939	6.3478965	12422.326	1264.729488	3	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	949	5.2564790	5856.803	145.754510	16.927631	2000-2009 –> 2010-2019	11.643526	6.3870470	12476.142	468.098566	5	16
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	949	5.3168779	5878.487	58.936767	15.641872	2000-2009 –> 2010-2019	11.673967	6.3570895	12488.339	113.802081	9	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	949	5.3150518	5877.836	57.610347	15.618642	2000-2009 –> 2010-2019	11.674581	6.3595293	12488.461	112.608697	8	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	949	5.3101901	5876.099	134.978864	16.729106	2000-2009 –> 2010-2019	11.688580	6.3783901	12492.700	196.991528	7	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	949	5.3246979	5879.277	30.647457	15.580382	2000-2009 –> 2010-2019	11.709322	6.3846243	12495.850	57.151356	11	21
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	949	5.3265252	5879.928	30.401031	15.526241	2000-2009 –> 2010-2019	11.709646	6.3831204	12496.026	57.213638	12	21
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1366	5.5881165	8591.335	174.536755	27.505531	1982-1999 –> 2000-2009	9.368876	3.7807592	18539.727	379.772607	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1366	5.6204473	8607.096	83.419277	26.592217	1982-1999 –> 2000-2009	9.410105	3.7896577	18563.984	140.863626	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1366	5.6617227	8627.086	101.934544	25.891467	1982-1999 –> 2000-2009	9.466631	3.8049080	18598.488	163.927559	5	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1366	5.6541024	8623.406	126.733074	26.263920	1982-1999 –> 2000-2009	9.615916	3.9618136	18740.851	308.442293	3	7
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1366	5.6546669	8621.679	120.434563	26.382856	1982-1999 –> 2000-2009	9.617895	3.9632277	18738.413	260.730273	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1366	5.6890656	8640.248	83.930772	24.819155	1982-1999 –> 2000-2009	9.652305	3.9632391	18758.992	132.069362	6	12
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1366	5.6964551	8641.794	78.495414	25.214485	1982-1999 –> 2000-2009	9.659800	3.9633445	18758.635	117.187792	7	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1366	5.7197357	8654.937	83.089903	24.178199	1982-1999 –> 2000-2009	9.690741	3.9710050	18780.756	150.538691	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1366	5.7310318	8658.327	76.094425	24.701183	1982-1999 –> 2000-2009	9.702739	3.9717076	18782.785	132.451280	9	18
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1366	6.0141272	8792.052	43.034210	28.682342	1982-1999 –> 2000-2009	10.184377	4.1702499	19094.801	280.859748	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1797	4.2330272	10299.510	92.523599	14.959890	2000-2009 –> 2010-2019	9.821144	5.5881165	18890.845	267.060354	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1797	4.2523293	10315.861	40.960265	15.169476	2000-2009 –> 2010-2019	9.872777	5.6204473	18922.957	124.379542	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1797	4.2636256	10325.396	38.491768	15.273791	2000-2009 –> 2010-2019	9.925348	5.6617227	18952.481	140.426312	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1797	4.2603896	10322.667	516.572988	16.322536	2000-2009 –> 2010-2019	9.927309	5.6669193	18952.259	847.076375	3	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1797	4.2938220	10350.760	84.980220	15.872156	2000-2009 –> 2010-2019	9.947924	5.6541024	18974.166	211.713294	5	8
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1797	4.2969309	10351.361	75.057519	15.806405	2000-2009 –> 2010-2019	9.951598	5.6546669	18973.040	195.492082	7	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1797	4.2958153	10352.428	605.921242	15.859257	2000-2009 –> 2010-2019	9.987192	5.6913768	18993.786	1476.976693	6	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1797	4.3181622	10371.076	48.430395	15.918334	2000-2009 –> 2010-2019	10.007228	5.6890656	19011.324	132.361166	8	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1797	4.3190973	10369.854	31.510281	15.955939	2000-2009 –> 2010-2019	10.015552	5.6964551	19011.648	110.005695	9	18
Atlantic	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1797	4.3202039	10370.775	506.994945	15.700405	2000-2009 –> 2010-2019	10.037977	5.7177730	19022.774	836.033495	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2758	4.1402351	15677.736	317.556232	24.550982	1982-1999 –> 2000-2009	6.979357	2.8391221	32258.988	696.214864	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2758	4.1944733	15749.528	201.997476	19.546647	1982-1999 –> 2000-2009	7.038578	2.8441045	32342.577	285.039327	4	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2758	4.1911499	15745.156	150.329276	19.382753	1982-1999 –> 2000-2009	7.057677	2.8665272	32391.039	188.670360	3	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2758	4.3545929	15956.176	152.752682	19.201933	1982-1999 –> 2000-2009	7.249205	2.8946118	32667.656	200.901529	6	10
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2758	4.4180511	16035.979	420.564413	20.710716	1982-1999 –> 2000-2009	7.419931	3.0018798	32992.275	794.686106	7	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2758	4.1864670	15738.989	26.191333	19.683529	1982-1999 –> 2000-2009	7.494352	3.3078845	33348.374	49.400448	2	17
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2758	4.4813780	16114.482	174.675174	17.976546	1982-1999 –> 2000-2009	7.502162	3.0207837	33113.014	308.744959	9	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2758	4.1944828	15747.541	22.309599	19.566853	1982-1999 –> 2000-2009	7.583596	3.3891134	33518.143	40.785782	5	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2758	4.5114743	16151.403	147.213527	17.128480	1982-1999 –> 2000-2009	7.607032	3.0955573	33314.446	206.787296	11	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2758	4.4606088	16086.858	316.080833	22.931351	1982-1999 –> 2000-2009	7.611667	3.1510578	33367.460	690.164853	8	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3090	4.6575247	18290.872	335.747312	17.294404	2000-2009 –> 2010-2019	8.797760	4.1402351	33968.608	653.303544	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3090	4.7563628	18420.647	74.371781	17.443344	2000-2009 –> 2010-2019	8.950836	4.1944733	34170.175	276.369257	2	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3090	4.8219311	18505.259	29.883207	18.786902	2000-2009 –> 2010-2019	9.013081	4.1911499	34250.414	180.212483	3	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3090	4.8743513	18572.080	32.725715	19.190452	2000-2009 –> 2010-2019	9.228944	4.3545929	34528.256	185.478398	4	10
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3090	5.0965568	18847.573	21.327140	36.631900	2000-2009 –> 2010-2019	9.283024	4.1864670	34586.562	47.518473	8	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3090	5.1405486	18898.688	11.643215	34.582763	2000-2009 –> 2010-2019	9.335031	4.1944828	34646.228	33.952814	11	16
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3090	5.0194551	18753.366	355.009103	14.503634	2000-2009 –> 2010-2019	9.437506	4.4180511	34789.345	775.573516	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3090	5.0508639	18789.917	335.742988	16.263312	2000-2009 –> 2010-2019	9.511473	4.4606088	34876.775	651.823821	7	15
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3090	5.1018631	18854.004	84.466787	14.889155	2000-2009 –> 2010-2019	9.583241	4.4813780	34968.486	259.141961	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3090	5.1367999	18894.179	63.953028	17.680638	2000-2009 –> 2010-2019	9.629357	4.4925568	35020.404	216.832908	10	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4198	5.0170312	25468.799	166.231485	33.839768	1982-1999 –> 2000-2009	8.679458	3.6624264	47404.075	463.924455	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4198	5.1820778	25740.558	71.218224	34.040185	1982-1999 –> 2000-2009	8.901257	3.7191793	47799.897	134.143343	5	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4198	5.1795995	25736.542	57.069615	34.432853	1982-1999 –> 2000-2009	8.938713	3.7591138	47882.049	81.456036	4	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4198	5.1826062	25741.414	19.732680	34.170676	1982-1999 –> 2000-2009	9.068592	3.8859862	48154.727	36.991937	6	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4198	5.3664800	26034.134	54.637926	34.579308	1982-1999 –> 2000-2009	9.177361	3.8108806	48289.987	85.742309	14	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4198	5.1828662	25739.836	16.073027	34.168229	1982-1999 –> 2000-2009	9.245031	4.0621651	48508.877	29.014339	7	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4198	5.1735197	25726.681	181.042421	39.238902	1982-1999 –> 2000-2009	9.407715	4.2341948	48832.360	485.112411	2	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4198	5.1738192	25725.167	149.435860	39.295462	1982-1999 –> 2000-2009	9.409384	4.2355648	48831.456	442.774398	3	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4198	5.2832883	25902.959	84.806799	38.549230	1982-1999 –> 2000-2009	9.542068	4.2587795	49055.347	174.148419	8	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4198	5.2832886	25900.959	68.362114	38.548002	1982-1999 –> 2000-2009	9.543141	4.2598524	49053.379	124.461402	9	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4595	5.8062411	29218.643	271.045307	21.487593	2000-2009 –> 2010-2019	10.823272	5.0170312	54687.442	437.276792	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4595	5.9461886	29437.522	76.383727	22.338294	2000-2009 –> 2010-2019	11.128266	5.1820778	55178.080	147.601951	2	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4595	5.9488554	29441.642	16.413964	37.559497	2000-2009 –> 2010-2019	11.131462	5.1826062	55183.057	36.146644	3	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4595	5.9930128	29509.606	26.600295	24.269864	2000-2009 –> 2010-2019	11.172612	5.1795995	55246.148	83.669910	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4595	6.0843874	29646.668	9.585556	32.708635	2000-2009 –> 2010-2019	11.267254	5.1828662	55386.503	25.658583	6	13
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4595	6.0581257	29608.915	31.108871	24.831318	2000-2009 –> 2010-2019	11.424606	5.3664800	55643.049	85.746798	5	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4595	6.8228992	30701.459	292.293707	22.664042	2000-2009 –> 2010-2019	11.996419	5.1735197	56428.140	473.336128	13	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4595	6.8261258	30703.804	268.648793	22.636074	2000-2009 –> 2010-2019	11.999945	5.1738192	56428.972	418.084654	14	17
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4595	6.9131106	30822.172	71.228032	22.974931	2000-2009 –> 2010-2019	12.196399	5.2832883	56725.131	156.034831	18	26
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4595	6.9176098	30826.151	58.635491	22.943341	2000-2009 –> 2010-2019	12.200898	5.2832886	56727.110	126.997605	19	28
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1585	3.7426500	8695.782	85.326635	34.453224	1982-1999 –> 2000-2009	7.067944	3.3252939	15538.796	349.658689	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1585	3.8344466	8772.595	84.580104	35.614090	1982-1999 –> 2000-2009	7.203999	3.3695523	15650.065	110.683863	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1585	3.9652975	8878.967	61.392007	35.607631	1982-1999 –> 2000-2009	7.320361	3.3550636	15745.207	129.009149	13	15
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1585	3.8175379	8758.585	107.328976	39.132711	1982-1999 –> 2000-2009	7.330908	3.5133698	15744.975	456.702852	2	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1585	3.8507737	8786.064	105.908012	39.245786	1982-1999 –> 2000-2009	7.380039	3.5292655	15784.218	137.571557	4	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1585	3.8642500	8795.138	75.847716	38.750911	1982-1999 –> 2000-2009	7.405983	3.5417330	15800.482	338.768298	5	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1585	3.9144684	8836.069	82.265109	38.978385	1982-1999 –> 2000-2009	7.446080	3.5316115	15833.955	107.228296	8	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1585	3.9265742	8847.858	93.862950	38.870320	1982-1999 –> 2000-2009	7.447794	3.5212198	15840.064	166.614631	9	17
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1585	4.0479498	8944.363	61.245738	36.719917	1982-1999 –> 2000-2009	7.450405	3.4024551	15847.156	90.778379	17	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1585	3.9524729	8868.697	77.918627	39.126310	1982-1999 –> 2000-2009	7.495969	3.5434957	15877.338	112.138364	11	24
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1769	5.2274433	10885.782	210.141084	24.803268	2000-2009 –> 2010-2019	8.970093	3.7426500	19581.563	295.467719	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1769	5.3270689	10952.575	30.604939	24.826200	2000-2009 –> 2010-2019	9.161516	3.8344466	19725.170	115.185042	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1769	5.3289505	10953.824	67.057462	24.374150	2000-2009 –> 2010-2019	9.294248	3.9652975	19832.791	128.449470	4	17
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1769	5.3743414	10983.833	33.822566	24.402153	2000-2009 –> 2010-2019	9.422291	4.0479498	19928.195	95.068304	6	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1769	5.2874666	10926.175	26.185236	24.317708	2000-2009 –> 2010-2019	9.440440	4.1529738	19951.734	52.339729	2	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1769	5.4337632	11022.736	26.180501	38.953549	2000-2009 –> 2010-2019	9.442828	4.0090652	19936.501	106.060167	7	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1769	5.3289893	10951.850	17.423882	24.428608	2000-2009 –> 2010-2019	9.481972	4.1529825	19975.416	32.356583	5	25
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1769	5.6499253	11160.755	20.866578	31.995408	2000-2009 –> 2010-2019	9.532670	3.8827449	19973.030	122.714390	9	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1769	5.7050380	11193.100	20.859863	41.916376	2000-2009 –> 2010-2019	9.613744	3.9087057	20024.499	74.210374	10	17
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1769	5.8042438	11256.094	283.024272	34.789354	2000-2009 –> 2010-2019	9.621782	3.8175379	20014.679	390.353249	11	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2998	3.9411989	16745.379	133.473938	18.414850	1982-1999 –> 2000-2009	7.891684	3.9504846	31332.089	403.799517	4	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2998	4.0208243	16865.311	93.855354	19.824960	1982-1999 –> 2000-2009	7.950542	3.9297179	31424.518	210.277750	9	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2998	4.0159462	16858.032	134.529123	19.456632	1982-1999 –> 2000-2009	7.951786	3.9358401	31425.362	183.102720	8	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2998	3.8491919	16603.743	144.497582	28.149144	1982-1999 –> 2000-2009	7.994500	4.1453077	31441.641	469.422227	1	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2998	4.0913996	16969.643	97.596516	20.075230	1982-1999 –> 2000-2009	8.040397	3.9489971	31554.387	142.132957	15	18
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2998	3.9406212	16744.500	109.901809	28.995066	1982-1999 –> 2000-2009	8.068748	4.1281272	31560.727	228.210148	3	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2998	3.9543096	16765.292	149.555093	27.904057	1982-1999 –> 2000-2009	8.087052	4.1327426	31587.349	197.063610	5	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2998	3.9245705	16720.028	46.711308	25.395427	1982-1999 –> 2000-2009	8.105013	4.1804428	31601.966	82.461363	2	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2998	4.0539395	16914.491	73.293522	27.986277	1982-1999 –> 2000-2009	8.198460	4.1445206	31751.398	106.980202	11	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	2998	4.0209827	16863.547	41.247414	19.876603	1982-1999 –> 2000-2009	8.201607	4.1806241	31743.712	76.815558	10	23
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3604	6.0576687	23225.660	241.846510	22.570435	2000-2009 –> 2010-2019	9.998868	3.9411989	39971.039	375.320448	3	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3604	6.0491966	23215.572	110.586547	23.301729	2000-2009 –> 2010-2019	10.070021	4.0208243	40080.883	204.441902	1	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3604	6.0571727	23225.069	52.101338	23.191437	2000-2009 –> 2010-2019	10.073119	4.0159462	40083.102	186.630461	2	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3604	6.1906515	23382.184	33.935119	25.195755	2000-2009 –> 2010-2019	10.115222	3.9245705	40102.211	80.646427	5	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3604	6.0719934	23242.685	42.364077	23.223008	2000-2009 –> 2010-2019	10.163393	4.0913996	40212.327	139.960593	4	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3604	6.2048867	23396.739	33.677817	25.636803	2000-2009 –> 2010-2019	10.225869	4.0209827	40260.286	74.925231	6	16
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3604	6.5541151	23793.420	41.313631	20.690167	2000-2009 –> 2010-2019	10.723152	4.1690367	40875.775	128.755790	16	33
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3604	6.8872552	24150.789	332.545997	48.348125	2000-2009 –> 2010-2019	10.736447	3.8491919	40754.533	477.043579	25	26
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3604	6.4953131	23728.460	107.397678	31.941640	2000-2009 –> 2010-2019	10.736577	4.2412635	40913.803	209.806221	15	34
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3604	6.2579812	23460.155	45.512009	23.318601	2000-2009 –> 2010-2019	10.803867	4.5458861	41061.389	108.122947	8	35
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3866	3.5635260	20810.676	110.442531	36.142477	1982-1999 –> 2000-2009	7.148648	3.5851217	45167.126	179.520130	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3866	3.5645265	20812.846	101.883693	35.864293	1982-1999 –> 2000-2009	7.160677	3.5961504	45197.032	168.478859	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3866	3.5682383	20820.893	117.343699	36.144293	1982-1999 –> 2000-2009	7.160779	3.5925406	45196.011	187.519698	4	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3866	3.5708517	20826.554	940.921903	34.420014	1982-1999 –> 2000-2009	7.191946	3.6210941	45273.159	1466.676930	6	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3866	3.5651177	20812.129	46.034646	35.472148	1982-1999 –> 2000-2009	7.193233	3.6281155	45274.225	87.450423	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3866	3.5748954	20833.305	66.831551	34.785845	1982-1999 –> 2000-2009	7.209252	3.6343569	45310.923	108.256408	7	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3866	3.5777203	20839.413	70.918811	34.008754	1982-1999 –> 2000-2009	7.217144	3.6394239	45329.611	111.560082	8	15
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3866	3.5693092	20823.214	522.177952	36.674121	1982-1999 –> 2000-2009	7.325375	3.7560658	45600.278	889.546585	5	17
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3866	3.5935229	20875.489	234.829904	36.395454	1982-1999 –> 2000-2009	7.347772	3.7542487	45648.184	410.468260	9	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3866	3.6004734	20890.430	121.748221	35.847308	1982-1999 –> 2000-2009	7.353494	3.7530207	45660.171	195.600966	10	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4563	4.0141062	25646.682	643.186271	19.142375	2000-2009 –> 2010-2019	7.584958	3.5708517	46473.236	1584.108173	1	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4563	4.0366678	25697.832	401.481511	17.533722	2000-2009 –> 2010-2019	7.605977	3.5693092	46521.045	923.659463	2	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4563	4.0939311	25826.382	182.878814	18.904680	2000-2009 –> 2010-2019	7.687454	3.5935229	46701.871	417.708718	5	14
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4563	4.0762080	25786.788	683.478685	16.242687	2000-2009 –> 2010-2019	7.689446	3.6132376	46704.581	1599.778447	3	15
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4563	4.0944598	25827.560	80.026226	19.011508	2000-2009 –> 2010-2019	7.694933	3.6004734	46717.990	201.774447	6	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	4563	4.1033158	25845.278	44.762475	20.029497	2000-2009 –> 2010-2019	7.712560	3.6092437	46752.519	70.447119	7	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4563	4.0853097	25805.143	247.790319	15.761278	2000-2009 –> 2010-2019	7.717262	3.6319524	46760.880	486.590000	4	18
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4563	4.1616831	25976.175	74.993498	20.291419	2000-2009 –> 2010-2019	7.725209	3.5635260	46786.851	185.436029	9	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4563	4.1578891	25967.852	75.949079	20.267730	2000-2009 –> 2010-2019	7.726127	3.5682383	46788.745	193.292778	8	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	4563	4.1788220	26013.681	72.609008	20.234843	2000-2009 –> 2010-2019	7.743348	3.5645265	46826.527	174.492701	10	12
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	855	4.1977696	4893.471	341.113831	14.572643	1982-1999 –> 2000-2009	7.196027	2.9982573	10419.635	696.646995	1	11
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	855	4.2265833	4905.169	201.556121	15.064100	1982-1999 –> 2000-2009	7.212818	2.9862347	10422.533	411.117609	3	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	855	4.2582421	4917.929	181.063555	15.502977	1982-1999 –> 2000-2009	7.227664	2.9694222	10422.929	374.365788	6	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	855	4.2559830	4917.022	153.138962	15.623510	1982-1999 –> 2000-2009	7.231822	2.9758394	10426.750	310.338703	5	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	855	4.2718850	4923.399	198.275806	15.408584	1982-1999 –> 2000-2009	7.240716	2.9688306	10427.963	406.464955	12	13
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	855	4.2659031	4921.003	159.082655	15.300636	1982-1999 –> 2000-2009	7.244443	2.9785401	10432.717	343.207078	9	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	855	4.2654792	4918.833	131.301547	16.515014	1982-1999 –> 2000-2009	7.298591	3.0331119	10468.309	250.538913	8	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	855	4.3155818	4938.802	32.027929	17.237047	1982-1999 –> 2000-2009	7.316751	3.0011692	10465.092	66.482089	14	25
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	855	4.4098477	4975.752	39.764811	18.099898	1982-1999 –> 2000-2009	7.382665	2.9728176	10481.254	77.823023	26	30
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	855	4.3410637	4950.869	998.504742	16.429079	1982-1999 –> 2000-2009	7.383540	3.0424765	10509.096	1902.935593	19	33
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1299	4.1216250	7379.813	462.600868	14.484720	2000-2009 –> 2010-2019	8.319395	4.1977696	12273.284	803.714699	4	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1299	4.0989577	7363.486	602.405314	15.311411	2000-2009 –> 2010-2019	8.352146	4.2531885	12277.385	1315.303849	2	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1299	4.1216288	7377.816	153.477003	14.469832	2000-2009 –> 2010-2019	8.387108	4.2654792	12296.649	284.778550	5	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1299	4.0996840	7363.946	602.888868	15.731992	2000-2009 –> 2010-2019	8.389164	4.2894800	12292.374	1300.132306	3	16
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1299	4.1714791	7411.050	286.751452	15.178989	2000-2009 –> 2010-2019	8.398062	4.2265833	12316.218	488.307574	7	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1299	4.0516672	7333.338	612.572143	14.917647	2000-2009 –> 2010-2019	8.457690	4.4060229	12307.606	1202.976221	1	25
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1299	4.2705573	7470.034	349.654901	16.457319	2000-2009 –> 2010-2019	8.487479	4.2169213	12369.289	633.714170	14	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1299	4.1724572	7409.659	40.129235	14.871389	2000-2009 –> 2010-2019	8.488039	4.3155818	12348.460	72.157163	8	22
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1299	4.2290365	7446.651	221.935116	16.942747	2000-2009 –> 2010-2019	8.494940	4.2659031	12367.654	381.017771	9	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1299	4.1319235	7384.297	592.118870	16.357104	2000-2009 –> 2010-2019	8.499230	4.3673069	12343.472	1291.269113	6	27
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	820	5.0911007	5010.149	644.544081	21.921347	1982-1999 –> 2000-2009	8.566106	3.4750053	9926.893	1167.451705	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	820	5.2532520	5061.569	318.076932	22.169746	1982-1999 –> 2000-2009	8.774257	3.5210051	10002.509	535.150462	2	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	820	5.3019413	5074.699	620.022458	20.933247	1982-1999 –> 2000-2009	8.780263	3.4783216	9991.198	1116.506760	5	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	820	5.2782324	5069.349	246.979034	22.722601	1982-1999 –> 2000-2009	8.792808	3.5145756	10006.926	426.237505	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	820	5.2986383	5075.677	282.954464	22.793558	1982-1999 –> 2000-2009	8.865662	3.5670241	10040.510	488.646130	4	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	820	5.4748327	5127.324	227.413877	20.059882	1982-1999 –> 2000-2009	8.996899	3.5220668	10066.820	394.498056	11	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	820	5.4730619	5126.794	188.500985	21.275910	1982-1999 –> 2000-2009	8.999005	3.5259428	10068.313	326.259477	10	16
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	820	5.3585481	5094.116	263.543221	22.148173	1982-1999 –> 2000-2009	9.009706	3.6511576	10101.844	620.286482	6	19
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	820	5.4031599	5107.713	302.852335	22.621892	1982-1999 –> 2000-2009	9.035869	3.6327089	10106.120	627.650973	8	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	820	5.4702696	5125.957	214.778483	17.788204	1982-1999 –> 2000-2009	9.099173	3.6289033	10120.436	338.951431	9	18
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1282	4.9735703	7765.168	637.401587	17.328815	2000-2009 –> 2010-2019	10.064671	5.0911007	12775.318	1281.945668	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1282	4.9761528	7764.499	570.291583	17.391271	2000-2009 –> 2010-2019	10.278094	5.3019413	12839.198	1190.314041	2	7
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1282	5.1773443	7868.124	302.209570	18.542809	2000-2009 –> 2010-2019	10.430596	5.2532520	12929.692	620.286502	4	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1282	5.3309661	7943.096	257.546387	18.606993	2000-2009 –> 2010-2019	10.609198	5.2782324	13012.445	504.525421	10	13
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1282	5.3271710	7941.270	283.516146	18.661716	2000-2009 –> 2010-2019	10.625809	5.2986383	13016.947	566.470611	8	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1282	5.1581952	7856.623	140.077893	18.273499	2000-2009 –> 2010-2019	10.628465	5.4702696	12982.580	354.856376	3	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	1282	5.1805339	7867.703	200.334310	18.624441	2000-2009 –> 2010-2019	10.655366	5.4748327	12995.027	427.748188	5	16
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1282	5.3431337	7948.941	288.013015	18.544050	2000-2009 –> 2010-2019	10.701682	5.3585481	13043.057	551.556236	12	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	1282	5.2672556	7908.269	72.964226	19.238565	2000-2009 –> 2010-2019	10.766894	5.4996382	13041.007	135.172895	7	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	1282	5.2659128	7909.615	39.953687	18.878612	2000-2009 –> 2010-2019	10.768428	5.5025149	13045.211	89.307230	6	19
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	602	5.0518815	3672.594	499.741406	17.836133	1982-1999 –> 2000-2009	8.377289	3.3254078	7040.873	797.576066	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	602	5.1048237	3685.146	572.060064	17.927811	1982-1999 –> 2000-2009	8.472243	3.3674189	7069.495	936.493469	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	602	5.1104175	3686.464	571.606783	18.003258	1982-1999 –> 2000-2009	8.510225	3.3998079	7083.066	881.266733	3	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	602	5.1264432	3690.234	572.264020	18.228575	1982-1999 –> 2000-2009	8.560174	3.4337305	7099.544	879.582803	5	9
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	602	5.1344391	3692.111	538.613829	18.041252	1982-1999 –> 2000-2009	8.603522	3.4690824	7114.531	913.417284	7	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	602	5.1185008	3686.367	342.688966	17.384171	1982-1999 –> 2000-2009	8.612129	3.4936286	7115.813	584.761218	4	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	602	5.1272636	3688.427	52.586834	17.486998	1982-1999 –> 2000-2009	8.635671	3.5084076	7123.276	116.042371	6	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	602	5.1573118	3695.462	189.198228	17.608736	1982-1999 –> 2000-2009	8.702272	3.5449602	7143.578	538.472834	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	602	5.1611151	3696.350	47.739920	17.669055	1982-1999 –> 2000-2009	8.735940	3.5748249	7155.204	95.447305	9	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	602	5.1715515	3698.782	200.721502	17.733405	1982-1999 –> 2000-2009	8.789817	3.6182660	7173.097	555.604801	10	22
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1005	4.0763381	5690.517	404.298117	22.077768	2000-2009 –> 2010-2019	9.128220	5.0518815	9363.110	904.039523	5	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1005	4.0740899	5689.408	457.106627	21.878229	2000-2009 –> 2010-2019	9.178914	5.1048237	9374.554	1029.166691	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1005	4.0738383	5689.284	456.744552	21.828986	2000-2009 –> 2010-2019	9.184256	5.1104175	9375.748	1028.351335	1	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1005	4.0742391	5689.481	457.354170	21.677157	2000-2009 –> 2010-2019	9.200682	5.1264432	9379.715	1029.618190	3	8
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1005	4.0743748	5689.548	433.294421	21.767470	2000-2009 –> 2010-2019	9.208814	5.1344391	9381.659	971.908250	4	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1005	4.1260148	5712.864	215.416632	20.599654	2000-2009 –> 2010-2019	9.283326	5.1573118	9408.326	404.614860	9	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1005	4.1257578	5712.738	47.287042	20.565496	2000-2009 –> 2010-2019	9.286873	5.1611151	9409.088	95.026962	7	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1005	4.1197052	5709.787	225.901690	20.485189	2000-2009 –> 2010-2019	9.291257	5.1715515	9408.569	426.623192	6	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1005	4.1733300	5735.782	56.132699	20.732836	2000-2009 –> 2010-2019	9.300594	5.1272636	9424.209	108.719533	13	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	1005	4.1258428	5712.780	52.715177	20.399551	2000-2009 –> 2010-2019	9.306616	5.1807732	9413.707	103.341214	8	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1131	2.6918777	5463.560	107.924294	17.028301	1982-1999 –> 2000-2009	4.755230	2.0633524	10132.743	192.445512	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1131	2.7045716	5474.201	122.297669	17.043785	1982-1999 –> 2000-2009	4.804646	2.1000744	10181.701	178.656061	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1131	2.7071024	5476.317	46.787737	17.049259	1982-1999 –> 2000-2009	4.812086	2.1049837	10188.888	70.174069	3	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1131	2.7116266	5480.094	38.319643	17.085954	1982-1999 –> 2000-2009	4.817695	2.1060681	10193.784	55.419846	4	12
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1131	2.7128660	5481.128	45.463409	17.099647	1982-1999 –> 2000-2009	4.818899	2.1060328	10194.781	69.848433	5	12
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1131	2.7137220	5481.841	130.179012	17.104257	1982-1999 –> 2000-2009	4.819521	2.1057995	10195.254	182.102278	7	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1131	2.7135977	5479.738	31.348978	17.046888	1982-1999 –> 2000-2009	4.820960	2.1073619	10192.761	38.540404	6	16
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1131	2.7189437	5486.190	92.526600	17.109017	1982-1999 –> 2000-2009	4.821244	2.1023002	10195.990	162.062909	8	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1131	2.7216164	5486.412	31.226931	17.106504	1982-1999 –> 2000-2009	4.831422	2.1098059	10201.953	38.091347	9	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1131	2.7460922	5506.664	97.960799	17.560938	1982-1999 –> 2000-2009	4.844197	2.0981052	10210.125	179.591087	15	17
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1656	1.9830986	6981.120	150.994469	26.264991	2000-2009 –> 2010-2019	4.674976	2.6918777	12444.680	258.918764	8	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1656	1.9774778	6971.720	31.003951	25.793493	2000-2009 –> 2010-2019	4.684580	2.7071024	12448.036	77.791688	1	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1656	1.9807983	6977.276	59.714095	25.845031	2000-2009 –> 2010-2019	4.685370	2.7045716	12451.477	182.011763	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1656	1.9809780	6977.577	25.092349	25.818274	2000-2009 –> 2010-2019	4.692604	2.7116266	12457.671	63.411992	5	9
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1656	1.9809276	6977.492	29.762072	25.820481	2000-2009 –> 2010-2019	4.693794	2.7128660	12458.620	75.225481	3	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1656	1.9809775	6977.576	58.309178	25.818681	2000-2009 –> 2010-2019	4.694699	2.7137220	12459.417	188.488190	4	11
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1656	1.9814797	6978.415	117.432635	25.860253	2000-2009 –> 2010-2019	4.700423	2.7189437	12464.605	209.959235	7	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1656	1.9878268	6987.007	13.937722	26.221549	2000-2009 –> 2010-2019	4.701424	2.7135977	12466.745	45.286699	10	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate	1656	1.9898622	6990.397	13.713017	26.234376	2000-2009 –> 2010-2019	4.711479	2.7216164	12476.809	44.939948	16	25
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1656	1.9887219	6988.498	38.005555	26.132142	2000-2009 –> 2010-2019	4.730233	2.7415108	12491.385	137.652213	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	15384	9.4690340	112839.192	15.416241	33.586236	1982-1999 –> 2000-2009	18.113847	8.6448130	196200.223	35.581287	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	15384	9.4830156	112884.590	19.154566	34.019962	1982-1999 –> 2000-2009	18.457995	8.9749795	197119.232	51.705021	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	15384	9.4948544	112922.977	20.211304	33.896473	1982-1999 –> 2000-2009	18.471610	8.9767553	197162.230	56.785830	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	15384	9.5032438	112950.151	18.351334	33.894585	1982-1999 –> 2000-2009	18.483968	8.9807240	197199.707	51.681932	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	15384	9.6037582	113271.870	9.216810	34.512884	1982-1999 –> 2000-2009	18.652773	9.0490147	197695.993	19.133882	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	15384	10.7089717	116625.348	20.459111	38.452849	1982-1999 –> 2000-2009	20.218474	9.5095026	202208.379	30.730686	9	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	15384	10.5920589	116287.598	61.426597	55.130864	1982-1999 –> 2000-2009	20.263004	9.6709449	202263.006	119.394799	6	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	15384	10.7507349	116745.104	20.838342	36.715027	1982-1999 –> 2000-2009	20.301821	9.5510860	202429.835	30.290109	10	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	15384	10.8724508	117091.491	19.050640	36.905501	1982-1999 –> 2000-2009	20.503964	9.6315133	202971.671	33.128797	14	22
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	15384	10.6370619	116418.047	18.000427	36.284684	1982-1999 –> 2000-2009	20.878222	10.2411605	203728.745	27.061744	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	20508	9.8468665	152023.062	19.542738	37.228388	2000-2009 –> 2010-2019	19.315901	9.4690340	264862.254	34.958980	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	20508	9.8748672	152139.530	24.568626	40.224911	2000-2009 –> 2010-2019	19.369722	9.4948544	265062.507	44.779930	2	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	20508	9.8891533	152198.825	29.135072	36.907233	2000-2009 –> 2010-2019	19.372169	9.4830156	265083.415	48.289638	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	20508	9.8772824	152149.561	22.420391	41.151037	2000-2009 –> 2010-2019	19.380526	9.5032438	265099.712	40.771725	3	7
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	20508	9.9477449	152439.122	11.994990	54.488602	2000-2009 –> 2010-2019	19.551503	9.6037582	265710.992	21.211800	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	20508	10.5844923	154985.921	23.386603	38.014836	2000-2009 –> 2010-2019	21.221554	10.6370619	271403.967	41.387029	6	13
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	20508	10.5954329	155026.295	14.825684	38.491047	2000-2009 –> 2010-2019	21.270921	10.6754878	271553.289	26.679186	7	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	20508	11.0210326	156643.605	62.173091	59.994927	2000-2009 –> 2010-2019	21.613091	10.5920589	272931.203	123.599688	13	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	20508	10.9918870	156534.993	26.960391	40.387775	2000-2009 –> 2010-2019	21.700859	10.7089717	273160.341	47.419503	9	18
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	20508	10.9948197	156545.935	26.578126	40.324637	2000-2009 –> 2010-2019	21.745555	10.7507349	273291.039	47.416468	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4498	5.8654929	28693.473	37.297467	31.705084	1982-1999 –> 2000-2009	10.886069	5.0205764	49607.348	65.843963	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4498	6.2067281	29202.173	756.775127	29.179210	1982-1999 –> 2000-2009	11.596976	5.3902475	50605.701	1537.212380	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4498	6.2260028	29230.067	59.791322	28.404157	1982-1999 –> 2000-2009	11.626945	5.4009418	50647.255	110.001746	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4498	6.2274914	29232.217	40.203222	28.485047	1982-1999 –> 2000-2009	11.633765	5.4062736	50656.206	64.556538	4	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4498	6.2682054	29290.840	42.534777	27.841793	1982-1999 –> 2000-2009	11.702831	5.4346253	50750.877	78.078971	6	11
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	4498	6.2311561	29235.510	15.245865	29.066133	1982-1999 –> 2000-2009	11.785627	5.5544707	50843.879	21.125200	5	11
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4498	6.5378606	29669.750	30.718396	25.810521	1982-1999 –> 2000-2009	12.241321	5.7034603	51462.550	46.817425	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4498	6.5380460	29668.006	25.794209	25.825768	1982-1999 –> 2000-2009	12.246067	5.7080212	51464.315	33.234873	8	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4498	6.6129915	29772.540	54.230140	23.275908	1982-1999 –> 2000-2009	12.345019	5.7320275	51599.774	94.279662	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4498	6.6198474	29779.862	51.250568	22.920222	1982-1999 –> 2000-2009	12.355081	5.7352336	51608.950	70.195125	10	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3566	6.9823202	23994.065	23.521506	24.605319	2000-2009 –> 2010-2019	12.847813	5.8654929	52687.538	60.818973	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3566	7.3340991	24344.626	617.337620	22.938504	2000-2009 –> 2010-2019	13.540827	6.2067281	53546.800	1374.112746	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3566	7.3533332	24363.306	21.668538	22.814093	2000-2009 –> 2010-2019	13.580825	6.2274914	53595.523	61.871760	3	7
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3566	7.3567287	24366.598	43.515656	22.689379	2000-2009 –> 2010-2019	13.582731	6.2260028	53596.665	103.306978	4	7
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3566	7.3831451	24390.162	7.864615	21.708971	2000-2009 –> 2010-2019	13.614301	6.2311561	53625.672	23.110480	5	10
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3566	7.3873050	24396.179	27.258222	22.563083	2000-2009 –> 2010-2019	13.655510	6.2682054	53687.019	69.792999	6	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3566	7.4468358	24453.422	16.397088	23.078811	2000-2009 –> 2010-2019	13.984696	6.5378606	54123.173	47.115484	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3566	7.4677395	24471.414	14.231943	22.653516	2000-2009 –> 2010-2019	14.005785	6.5380460	54139.420	40.026152	8	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3566	7.5641445	24564.896	38.503862	21.777168	2000-2009 –> 2010-2019	14.177136	6.6129915	54337.436	92.734002	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3566	7.5641540	24562.905	33.060532	21.744875	2000-2009 –> 2010-2019	14.184001	6.6198474	54342.766	84.311100	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3109	5.1326074	19007.206	34.488835	21.322841	1982-1999 –> 2000-2009	9.441100	4.3084925	32860.211	68.918839	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3109	5.1644179	19045.625	22.003463	21.502654	1982-1999 –> 2000-2009	9.497688	4.3332704	32926.190	41.434237	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3109	5.1791596	19063.349	51.010435	21.647402	1982-1999 –> 2000-2009	9.522729	4.3435696	32955.323	115.807006	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3109	5.1947774	19082.071	40.333305	21.015560	1982-1999 –> 2000-2009	9.575003	4.3802257	33014.433	95.618916	4	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3109	5.1991271	19087.275	14.614480	20.828759	1982-1999 –> 2000-2009	9.591387	4.3922594	33032.823	28.648003	6	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3109	5.1973735	19083.178	29.557811	20.713600	1982-1999 –> 2000-2009	9.594021	4.3966475	33031.524	48.589940	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3109	5.2099527	19098.209	13.577679	20.376118	1982-1999 –> 2000-2009	9.619739	4.4097867	33060.897	20.512781	7	14
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3109	5.2289850	19122.882	18.240673	20.148323	1982-1999 –> 2000-2009	9.724629	4.4956442	33180.243	39.055809	8	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3109	5.3320834	19244.288	62.101543	22.391507	1982-1999 –> 2000-2009	9.751107	4.4190235	33219.032	100.823862	10	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	3109	5.3324107	19242.670	8.568895	22.486373	1982-1999 –> 2000-2009	9.772633	4.4402224	33238.414	13.118277	11	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3016	5.7154040	19087.808	21.112806	18.896919	2000-2009 –> 2010-2019	10.848011	5.1326074	38095.015	55.601641	2	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3016	5.7362038	19109.721	11.346402	18.945946	2000-2009 –> 2010-2019	10.900622	5.1644179	38155.345	33.349865	6	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3016	5.7355945	19109.080	38.769494	18.950006	2000-2009 –> 2010-2019	10.914754	5.1791596	38172.428	89.779929	5	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3016	5.7341217	19107.531	31.425588	18.897140	2000-2009 –> 2010-2019	10.928899	5.1947774	38189.602	71.758893	4	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3016	5.7308535	19104.092	9.214348	18.864898	2000-2009 –> 2010-2019	10.929981	5.1991271	38191.367	23.828828	3	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3016	5.7380856	19109.699	23.869604	18.963947	2000-2009 –> 2010-2019	10.935459	5.1973735	38192.877	53.427415	9	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3016	5.7380440	19109.655	9.041230	18.961985	2000-2009 –> 2010-2019	10.947997	5.2099527	38207.864	22.618909	8	15
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3016	5.6523103	19020.849	38.313836	19.985540	2000-2009 –> 2010-2019	10.984394	5.3320834	38265.137	100.415380	1	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3016	5.7705939	19145.776	12.103845	19.105118	2000-2009 –> 2010-2019	10.999579	5.2289850	38268.658	30.344518	12	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3016	5.7780339	19151.548	8.835552	18.997571	2000-2009 –> 2010-2019	11.067609	5.2895755	38344.067	22.179640	13	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3874	4.3792124	22450.716	33.077128	18.352225	1982-1999 –> 2000-2009	9.164842	4.7856300	41142.069	46.760554	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3874	4.3854970	22461.827	96.856512	18.388465	1982-1999 –> 2000-2009	9.169863	4.7843662	41151.527	139.950156	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3874	4.3707269	22435.688	62.183467	18.176650	1982-1999 –> 2000-2009	9.175118	4.8043917	41151.527	89.464568	1	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3874	4.3895109	22468.915	70.710315	17.751667	1982-1999 –> 2000-2009	9.248574	4.8590634	41255.565	126.997077	4	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3874	4.3895181	22466.928	25.691594	17.776543	1982-1999 –> 2000-2009	9.260683	4.8711650	41267.144	43.266580	5	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3874	4.4978562	22657.835	36.732771	18.015254	1982-1999 –> 2000-2009	9.272906	4.7750502	41335.338	52.206259	10	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3874	4.3955672	22479.598	18.334766	17.424537	1982-1999 –> 2000-2009	9.285417	4.8898495	41305.772	33.463227	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3874	4.3964643	22479.179	9.939861	17.172920	1982-1999 –> 2000-2009	9.287313	4.8908484	41304.632	16.868225	7	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	3874	4.5068505	22671.313	9.333234	18.009333	1982-1999 –> 2000-2009	9.402851	4.8960010	41503.355	14.390431	11	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3874	4.5069857	22671.546	9.706954	18.082473	1982-1999 –> 2000-2009	9.408513	4.9015277	41510.648	14.947396	12	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4054	4.7000505	24066.478	39.789508	20.627054	2000-2009 –> 2010-2019	9.070777	4.3707269	46502.166	101.972974	5	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4054	4.6988486	24064.404	17.470297	20.965436	2000-2009 –> 2010-2019	9.078061	4.3792124	46515.120	50.547425	2	4
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4054	4.6990427	24064.739	63.320684	20.994822	2000-2009 –> 2010-2019	9.084540	4.3854970	46526.566	160.177196	3	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4054	4.6998425	24066.119	55.521828	20.927212	2000-2009 –> 2010-2019	9.089353	4.3895109	46535.034	126.232143	4	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4054	4.7004912	24065.238	24.814523	20.894017	2000-2009 –> 2010-2019	9.090009	4.3895181	46532.166	50.506117	6	11
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4054	4.7008703	24067.892	12.187308	20.772042	2000-2009 –> 2010-2019	9.096437	4.3955672	46547.490	30.522074	7	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4054	4.7017425	24067.396	7.838297	20.733131	2000-2009 –> 2010-2019	9.098207	4.3964643	46546.575	17.778157	9	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4054	4.7416944	24138.001	22.761133	19.741445	2000-2009 –> 2010-2019	9.167669	4.4259742	46671.012	54.013368	12	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	4054	4.7425558	24137.473	7.752450	19.805698	2000-2009 –> 2010-2019	9.176711	4.4341555	46682.793	17.500182	13	22
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4054	4.6975395	24062.145	19.505540	20.783638	2000-2009 –> 2010-2019	9.195396	4.4978562	46719.980	56.238312	1	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6477	3.4315332	34367.305	14.233214	12.700306	1982-1999 –> 2000-2009	7.766016	4.3344831	61765.088	25.420103	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6477	3.4281674	34354.592	13.613350	13.852363	1982-1999 –> 2000-2009	7.792401	4.3642337	61817.290	24.464659	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6477	3.4533196	34449.288	41.920507	14.017020	1982-1999 –> 2000-2009	7.969155	4.5158357	62236.046	72.921109	3	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6477	3.4543727	34453.238	33.146098	12.986208	1982-1999 –> 2000-2009	7.978321	4.5239482	62257.029	62.492300	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6477	3.4548870	34453.166	12.574997	13.258734	1982-1999 –> 2000-2009	7.985034	4.5301470	62267.952	21.238566	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6477	3.6160421	35045.743	11.956810	19.422211	1982-1999 –> 2000-2009	8.402439	4.7863973	63384.703	21.085929	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6477	3.6187398	35055.404	33.984051	19.637822	1982-1999 –> 2000-2009	8.423322	4.8045827	63430.352	57.702581	7	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6477	3.6243338	35075.413	444.454375	20.071719	1982-1999 –> 2000-2009	8.449117	4.8247829	63490.177	698.488977	9	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6477	3.6220646	35067.300	31.687100	19.637691	1982-1999 –> 2000-2009	8.455082	4.8330169	63498.246	61.019781	8	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6477	3.6272996	35084.009	11.008077	21.073801	1982-1999 –> 2000-2009	8.461029	4.8337292	63514.353	20.760524	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6953	3.3864086	36707.880	11.538831	16.529255	2000-2009 –> 2010-2019	6.817942	3.4315332	71075.185	25.772045	1	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6953	3.4229624	36851.882	10.547881	18.359111	2000-2009 –> 2010-2019	6.851130	3.4281674	71206.474	24.161231	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6953	3.5321064	37288.301	25.370598	20.175516	2000-2009 –> 2010-2019	6.986479	3.4543727	71741.539	58.516695	3	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6953	3.5442531	37341.403	28.614975	20.237748	2000-2009 –> 2010-2019	6.997573	3.4533196	71790.691	70.535482	4	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6953	3.5471649	37350.823	8.575831	20.392854	2000-2009 –> 2010-2019	7.002052	3.4548870	71803.989	21.150828	5	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6953	3.6587044	37777.926	8.694003	19.603703	2000-2009 –> 2010-2019	7.274747	3.6160421	72823.670	20.650812	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6953	3.6673343	37816.120	21.872081	19.753942	2000-2009 –> 2010-2019	7.286074	3.6187398	72871.524	55.856131	7	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6953	3.6684733	37815.001	226.987780	19.894279	2000-2009 –> 2010-2019	7.292807	3.6243338	72890.414	671.442155	9	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6953	3.6786082	37853.361	25.028387	19.745420	2000-2009 –> 2010-2019	7.300673	3.6220646	72920.661	56.715488	10	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6953	3.6927810	37904.827	7.857807	20.043477	2000-2009 –> 2010-2019	7.320081	3.6272996	72988.836	18.865884	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8085	3.5179774	43298.256	12.828816	20.513620	1982-1999 –> 2000-2009	7.047261	3.5292833	76351.707	29.774765	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8085	3.5474456	43433.140	14.163967	22.084240	1982-1999 –> 2000-2009	7.195334	3.6478882	76894.076	27.890815	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8085	3.6362848	43833.100	42.320951	22.742986	1982-1999 –> 2000-2009	7.454044	3.8177592	77855.147	93.789904	3	6
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8085	3.6440697	43867.681	698.701152	20.512556	1982-1999 –> 2000-2009	7.469428	3.8253579	77914.242	1676.503011	4	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8085	3.6751285	44004.916	10.490414	21.053916	1982-1999 –> 2000-2009	7.517657	3.8425289	78106.689	21.758993	10	15
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8085	3.6860127	44052.734	31.410226	21.083132	1982-1999 –> 2000-2009	7.537247	3.8512347	78182.407	77.271787	13	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8085	3.6970117	44100.913	24.502849	21.076618	1982-1999 –> 2000-2009	7.554690	3.8576787	78251.196	50.125229	18	25
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8085	3.6772282	44014.151	27.435942	23.191953	1982-1999 –> 2000-2009	7.560535	3.8833070	78246.064	57.298411	11	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8085	3.6797923	44023.423	12.194899	23.174900	1982-1999 –> 2000-2009	7.569413	3.8896205	78273.362	27.115901	12	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8085	3.7061798	44138.963	8.331392	22.345656	1982-1999 –> 2000-2009	7.610128	3.9039483	78434.230	19.565600	19	29
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8633	3.5407448	46343.437	14.497561	19.111889	2000-2009 –> 2010-2019	7.058722	3.5179774	89641.694	27.326377	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8633	3.7323391	47253.322	13.210963	22.870542	2000-2009 –> 2010-2019	7.279785	3.5474456	90686.461	27.374930	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8633	3.6675957	46951.187	644.886104	19.561914	2000-2009 –> 2010-2019	7.311666	3.6440697	90818.868	1343.587256	2	6
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8633	3.7369174	47274.488	10.672676	20.367756	2000-2009 –> 2010-2019	7.412046	3.6751285	91279.404	21.163090	4	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8633	3.7633784	47396.317	271.031644	23.365559	2000-2009 –> 2010-2019	7.419735	3.6563564	91318.427	593.428298	7	13
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8633	3.7762659	47455.343	14.622059	23.513194	2000-2009 –> 2010-2019	7.426227	3.6499613	91349.146	28.823953	9	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8633	3.7508581	47338.780	27.333875	20.424005	2000-2009 –> 2010-2019	7.436871	3.6860127	91391.513	58.744101	5	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	8633	3.7877504	47505.773	12.319686	23.797473	2000-2009 –> 2010-2019	7.446756	3.6590052	91437.593	25.285228	10	17
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8633	3.7591431	47376.875	18.250904	20.413594	2000-2009 –> 2010-2019	7.456155	3.6970117	91477.788	42.753753	6	24
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8633	3.7961384	47545.966	20.229182	23.519295	2000-2009 –> 2010-2019	7.465032	3.6688940	91523.428	44.169052	11	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7300	3.4810462	38941.563	16.971943	15.826847	1982-1999 –> 2000-2009	6.679397	3.1983511	63754.162	31.917488	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	7300	3.5345103	39164.094	761.959337	17.556112	1982-1999 –> 2000-2009	6.835137	3.3006269	64279.061	1405.035836	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7300	3.4618877	38860.987	13.896646	22.654142	1982-1999 –> 2000-2009	6.873574	3.4116858	64293.857	26.971347	1	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7300	3.6321778	39562.056	14.036996	18.381808	1982-1999 –> 2000-2009	7.044337	3.4121590	64996.258	26.989738	9	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	7300	3.5262890	39130.095	473.272080	17.328575	1982-1999 –> 2000-2009	7.062316	3.5360272	64906.833	809.098921	3	11
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7300	3.6413412	39598.843	50.460394	18.388644	1982-1999 –> 2000-2009	7.073113	3.4317719	65088.102	94.930315	10	15
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7300	3.6602077	39674.293	42.429616	18.614923	1982-1999 –> 2000-2009	7.109795	3.4495874	65213.291	80.694886	11	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7300	3.5665884	39296.001	16.351254	17.498375	1982-1999 –> 2000-2009	7.144696	3.5781077	65186.381	31.358933	5	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7300	3.5697277	39308.846	39.974595	17.476885	1982-1999 –> 2000-2009	7.155305	3.5855772	65219.259	73.203903	6	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7300	3.5956443	39414.461	57.826576	17.670636	1982-1999 –> 2000-2009	7.229018	3.6333736	65452.077	110.017060	8	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8684	3.2250341	44995.072	14.769213	20.856576	2000-2009 –> 2010-2019	6.686922	3.4618877	83856.059	28.665859	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8684	3.4541874	46187.275	18.012510	18.680004	2000-2009 –> 2010-2019	6.935234	3.4810462	85128.838	34.984452	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8684	3.4320756	46075.738	628.248930	17.169788	2000-2009 –> 2010-2019	6.966586	3.5345103	85239.832	1390.208267	2	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8684	3.4963450	46397.965	394.471718	18.321570	2000-2009 –> 2010-2019	7.022634	3.5262890	85528.060	867.743798	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8684	3.5564960	46694.223	16.147961	18.240852	2000-2009 –> 2010-2019	7.123085	3.5665884	85990.224	32.499215	6	11
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8684	3.5558437	46691.037	35.033876	18.496607	2000-2009 –> 2010-2019	7.125571	3.5697277	85999.883	75.008471	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	8684	3.5571087	46695.214	14.729742	17.642409	2000-2009 –> 2010-2019	7.151815	3.5947065	86103.867	28.508106	7	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8684	3.5938181	46875.533	53.807096	18.355018	2000-2009 –> 2010-2019	7.189462	3.5956443	86289.995	111.633672	11	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8684	3.5878428	46846.632	11.294078	18.287284	2000-2009 –> 2010-2019	7.220021	3.6321778	86408.688	25.331074	8	17
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8684	3.5900866	46857.491	41.303882	18.233964	2000-2009 –> 2010-2019	7.231428	3.6413412	86456.334	91.764275	9	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3086	1.8347739	12517.607	14.488434	8.727898	1982-1999 –> 2000-2009	3.600805	1.7660307	21138.231	27.707308	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3086	2.0088160	13076.939	26.916026	7.820440	1982-1999 –> 2000-2009	3.838825	1.8300093	21851.653	54.071678	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3086	2.0108470	13083.176	157.868748	7.803303	1982-1999 –> 2000-2009	3.845318	1.8344714	21868.435	309.954686	4	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3086	1.9911314	13022.364	16.310795	8.854299	1982-1999 –> 2000-2009	3.850057	1.8589255	21864.962	31.768339	2	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3086	2.0265195	13131.094	63.842920	7.970673	1982-1999 –> 2000-2009	3.875162	1.8486430	21949.675	125.891498	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3086	2.0155455	13095.581	10.608577	8.639082	1982-1999 –> 2000-2009	3.878604	1.8630588	21945.796	20.812360	5	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3086	2.1535699	13504.396	11.327730	8.723602	1982-1999 –> 2000-2009	4.121713	1.9681435	22592.202	21.921768	7	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3086	2.1852410	13596.502	21.985781	9.928722	1982-1999 –> 2000-2009	4.231057	2.0458155	22853.905	41.403412	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3086	2.1557084	13512.522	696.712697	9.806018	1982-1999 –> 2000-2009	4.265205	2.1094966	22902.651	1192.310686	8	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3086	2.2050400	13652.171	57.187551	10.014845	1982-1999 –> 2000-2009	4.269803	2.0647627	22949.491	106.198252	12	21
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3799	1.7512101	15052.308	15.292353	13.671981	2000-2009 –> 2010-2019	3.585984	1.8347739	27569.915	29.780787	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3799	1.9649173	15927.165	126.288142	13.307992	2000-2009 –> 2010-2019	3.975764	2.0108470	29010.342	284.156890	2	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3799	1.9690199	15943.013	21.262085	13.352488	2000-2009 –> 2010-2019	3.977836	2.0088160	29019.952	48.178110	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3799	1.9866744	16010.834	53.265915	13.497463	2000-2009 –> 2010-2019	4.013194	2.0265195	29141.928	117.108836	4	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3799	2.0032500	16071.964	9.124003	13.542933	2000-2009 –> 2010-2019	4.018796	2.0155455	29167.545	19.732579	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3799	2.1339381	16554.144	18.680619	14.449511	2000-2009 –> 2010-2019	4.125070	1.9911314	29576.508	34.991415	10	12
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3799	2.0384394	16206.273	624.864401	13.795686	2000-2009 –> 2010-2019	4.194148	2.1557084	29718.795	1321.577099	6	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3799	2.0863272	16382.704	88.791556	14.285181	2000-2009 –> 2010-2019	4.283315	2.1969883	30012.296	199.166693	7	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3799	2.0952453	16415.112	20.201884	14.380860	2000-2009 –> 2010-2019	4.296972	2.2017272	30058.004	42.299791	8	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3799	2.1205852	16506.451	52.810926	14.581895	2000-2009 –> 2010-2019	4.346032	2.2254464	30215.478	110.464846	9	24
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4083	1.4153317	14437.626	13.257084	6.012961	1982-1999 –> 2000-2009	2.765816	1.3504843	24599.535	25.045866	1	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4083	1.4896563	14855.574	26.748421	5.859615	1982-1999 –> 2000-2009	2.822566	1.3329092	24940.171	56.663118	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4083	1.4883851	14848.602	234.903771	5.846423	1982-1999 –> 2000-2009	2.824264	1.3358786	24946.333	476.891231	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4083	1.5029285	14928.007	52.909230	5.967960	1982-1999 –> 2000-2009	2.847381	1.3444525	25063.497	111.094484	5	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4083	1.4929685	14871.711	11.189244	5.932318	1982-1999 –> 2000-2009	2.859236	1.3662673	25100.196	21.688786	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4083	1.6063669	15471.532	15.245676	7.248744	1982-1999 –> 2000-2009	2.996562	1.3901955	25804.488	29.940981	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4083	1.6808657	15841.729	19.712890	7.942484	1982-1999 –> 2000-2009	3.110511	1.4296453	26339.835	38.886485	8	15
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4083	1.6964205	15916.950	101.435561	8.025902	1982-1999 –> 2000-2009	3.141461	1.4450408	26478.273	197.747947	13	21
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4083	1.6975183	15922.233	40.536308	8.027794	1982-1999 –> 2000-2009	3.142891	1.4453729	26484.912	81.039572	15	24
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate	4083	1.6985692	15925.287	9.492773	8.016912	1982-1999 –> 2000-2009	3.144014	1.4454445	26486.258	18.946037	16	26
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4403	1.4339764	15683.307	11.756141	10.958353	2000-2009 –> 2010-2019	2.849308	1.4153317	30120.932	25.013225	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4403	1.4697553	15900.328	195.983841	10.582343	2000-2009 –> 2010-2019	2.958140	1.4883851	30748.930	430.887612	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4403	1.4726389	15917.587	22.067724	10.604355	2000-2009 –> 2010-2019	2.962295	1.4896563	30773.161	48.816145	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4403	1.4834460	15981.975	45.424127	10.654770	2000-2009 –> 2010-2019	2.986375	1.5029285	30909.982	98.333357	4	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4403	1.5044336	16103.688	8.128393	10.803497	2000-2009 –> 2010-2019	2.997402	1.4929685	30975.399	19.317637	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4403	1.6039727	16669.862	605.762265	10.145739	2000-2009 –> 2010-2019	3.271214	1.6672416	32445.133	1322.025806	6	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4403	1.6056865	16677.266	552.346257	10.108804	2000-2009 –> 2010-2019	3.287162	1.6814757	32519.958	1184.664648	7	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4403	1.6212516	16764.218	121.632364	10.302633	2000-2009 –> 2010-2019	3.303474	1.6822222	32612.535	268.124725	8	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4403	1.6992068	17177.776	13.680013	11.545439	2000-2009 –> 2010-2019	3.305574	1.6063669	32649.308	28.925689	14	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4403	1.6259389	16789.641	18.031376	10.339964	2000-2009 –> 2010-2019	3.311511	1.6855717	32654.201	36.704985	10	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5953	1.4147229	21038.475	24.302444	8.300536	1982-1999 –> 2000-2009	2.698565	1.2838422	37286.520	52.312648	1	7
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5953	1.4156390	21046.182	307.778591	8.277175	1982-1999 –> 2000-2009	2.712254	1.2966155	37390.536	592.021020	2	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5953	1.4227354	21105.716	37.504078	8.365692	1982-1999 –> 2000-2009	2.718807	1.2960712	37445.986	72.517809	5	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5953	1.4884947	21643.676	16.535891	9.577963	1982-1999 –> 2000-2009	2.761283	1.2727879	37807.598	38.014197	6	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5953	1.5227549	21914.607	24.889876	10.065760	1982-1999 –> 2000-2009	2.778380	1.2556253	37946.462	48.260063	8	9
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5953	1.5281415	21956.649	317.133862	10.078423	1982-1999 –> 2000-2009	2.799901	1.2717596	38112.708	602.631467	9	12
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5953	1.5321149	21987.566	36.185094	10.142158	1982-1999 –> 2000-2009	2.800376	1.2682613	38116.829	69.347829	10	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	5953	1.5147364	21849.746	15.261368	9.381391	1982-1999 –> 2000-2009	2.811366	1.2966295	38192.205	34.711761	7	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate	5953	1.5502892	22125.967	13.291891	10.461381	1982-1999 –> 2000-2009	2.827943	1.2776535	38325.006	30.435762	11	16
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5953	1.4170486	21058.031	15.686897	8.195233	1982-1999 –> 2000-2009	2.862295	1.4452464	38458.091	36.159690	3	17
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6823	1.6794547	26451.865	12.780294	12.244106	2000-2009 –> 2010-2019	3.096503	1.4170486	47509.896	28.467190	1	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6823	1.6880893	26521.844	18.256356	12.462022	2000-2009 –> 2010-2019	3.102812	1.4147229	47560.319	42.558800	3	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6823	1.6880534	26521.554	255.603856	12.440459	2000-2009 –> 2010-2019	3.103692	1.4156390	47567.736	563.382447	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6823	1.6880949	26519.889	11.695506	12.456378	2000-2009 –> 2010-2019	3.105916	1.4178207	47582.406	26.824393	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6823	1.6955577	26582.083	28.756806	12.503415	2000-2009 –> 2010-2019	3.118293	1.4227354	47687.799	66.260885	5	10
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6823	1.8003812	27400.662	13.802936	13.290247	2000-2009 –> 2010-2019	3.288876	1.4884947	49044.338	30.338827	13	19
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	6823	1.8003826	27398.673	11.841127	13.286927	2000-2009 –> 2010-2019	3.315119	1.5147364	49248.419	27.102494	14	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6823	1.8964508	28110.059	19.627942	14.658835	2000-2009 –> 2010-2019	3.419206	1.5227549	50024.666	44.517818	18	26
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6823	1.7298955	26855.676	663.762336	10.553418	2000-2009 –> 2010-2019	3.423515	1.6936194	50036.447	1522.774890	6	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6823	1.8993130	28130.639	275.338767	14.645198	2000-2009 –> 2010-2019	3.427455	1.5281415	50087.287	592.472629	19	28
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3235	1.0926652	9767.902	61.825426	6.972783	1982-1999 –> 2000-2009	2.287853	1.1951881	18828.682	110.861992	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3235	1.0948954	9781.095	61.829230	6.982768	1982-1999 –> 2000-2009	2.293928	1.1990324	18860.063	110.862079	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3235	1.0934537	9772.570	285.188344	6.963364	1982-1999 –> 2000-2009	2.294054	1.2006001	18858.939	565.663934	2	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3235	1.1006544	9815.037	60.235299	6.796019	1982-1999 –> 2000-2009	2.333406	1.2327516	19051.090	107.081293	4	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3235	1.1043950	9834.988	59.251203	6.871776	1982-1999 –> 2000-2009	2.337702	1.2333074	19071.594	105.899502	7	14
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3235	1.1012884	9818.763	264.487819	6.787930	1982-1999 –> 2000-2009	2.338741	1.2374528	19076.374	528.404570	5	15
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3235	1.1028001	9827.638	60.267259	6.806821	1982-1999 –> 2000-2009	2.339173	1.2363730	19080.306	107.078743	6	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	3235	1.1049545	9838.265	246.922073	6.862390	1982-1999 –> 2000-2009	2.342900	1.2379451	19096.130	494.443026	8	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3235	1.1064871	9847.233	59.269835	6.881764	1982-1999 –> 2000-2009	2.343344	1.2368567	19100.115	105.896016	9	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3235	1.1459464	10075.946	37.829445	8.118947	1982-1999 –> 2000-2009	2.353678	1.2077315	19195.859	76.567054	14	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4651	1.5568093	17330.389	48.568833	13.256086	2000-2009 –> 2010-2019	2.649475	1.0926652	27098.291	110.394259	4	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4651	1.5495616	17286.982	45.271185	13.094011	2000-2009 –> 2010-2019	2.650216	1.1006544	27102.019	105.506484	1	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4651	1.5582307	17338.878	238.152971	13.259740	2000-2009 –> 2010-2019	2.651684	1.0934537	27111.448	523.341315	6	8
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4651	1.5512134	17296.893	245.375748	13.110284	2000-2009 –> 2010-2019	2.652502	1.1012884	27115.655	509.863567	2	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4651	1.5595351	17346.661	48.589299	13.299054	2000-2009 –> 2010-2019	2.654431	1.0948954	27127.756	110.418529	8	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4651	1.5524032	17304.025	45.322515	13.144798	2000-2009 –> 2010-2019	2.655203	1.1028001	27131.663	105.589774	3	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4651	1.5573440	17331.583	44.985297	13.191543	2000-2009 –> 2010-2019	2.661739	1.1043950	27166.571	104.236500	5	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	4651	1.5586721	17339.513	209.489149	13.200046	2000-2009 –> 2010-2019	2.663627	1.1049545	27177.778	456.411222	7	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4651	1.5600059	17347.469	45.025724	13.237921	2000-2009 –> 2010-2019	2.666493	1.1064871	27194.702	104.295558	9	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4651	1.5732945	17428.371	29.833419	12.475235	2000-2009 –> 2010-2019	2.685562	1.1122671	27311.313	68.654833	13	23
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6079	1.2005897	19488.093	176.993177	5.323196	1982-1999 –> 2000-2009	2.581989	1.3813994	36044.463	283.411121	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6079	1.2011458	19493.724	177.320546	5.314031	1982-1999 –> 2000-2009	2.583280	1.3821343	36055.144	283.937719	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6079	1.2018417	19500.766	359.411895	5.305231	1982-1999 –> 2000-2009	2.585030	1.3831887	36069.427	578.030212	3	6
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6079	1.2036587	19519.133	42.311076	5.203228	1982-1999 –> 2000-2009	2.622856	1.4191971	36331.840	66.916210	4	8
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6079	1.2040908	19523.496	42.274179	5.196723	1982-1999 –> 2000-2009	2.623695	1.4196042	36338.927	66.879274	6	11
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6079	1.2047445	19530.095	93.763780	5.187725	1982-1999 –> 2000-2009	2.625367	1.4206228	36352.337	158.250702	8	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6079	1.2037454	19518.009	22.404130	5.230465	1982-1999 –> 2000-2009	2.633072	1.4293267	36396.253	39.531030	5	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6079	1.2041827	19522.424	22.405680	5.224706	1982-1999 –> 2000-2009	2.633901	1.4297178	36403.266	39.533052	7	15
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	6079	1.2048458	19529.117	52.745107	5.217009	1982-1999 –> 2000-2009	2.635574	1.4307286	36416.671	100.432933	9	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	6079	1.2487290	19966.065	41.343558	6.715482	1982-1999 –> 2000-2009	2.754107	1.5053779	37338.587	65.860611	11	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7616	1.4918782	27720.618	25.558931	11.582502	2000-2009 –> 2010-2019	2.695537	1.2036587	47239.751	67.870008	9	13
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7616	1.4920269	27722.136	25.538813	11.587658	2000-2009 –> 2010-2019	2.696118	1.2040908	47245.632	67.812992	10	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7616	1.4924181	27726.129	84.373125	11.596694	2000-2009 –> 2010-2019	2.697163	1.2047445	47256.224	178.136904	11	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7616	1.5025387	27829.074	201.079037	12.667748	2000-2009 –> 2010-2019	2.703128	1.2005897	47317.168	378.072214	20	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7616	1.5028004	27831.727	201.330918	12.674007	2000-2009 –> 2010-2019	2.703946	1.2011458	47325.451	378.651464	22	24
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7616	1.5033494	27837.290	410.022341	12.689979	2000-2009 –> 2010-2019	2.705191	1.2018417	47338.056	769.434236	25	28
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7616	1.5032960	27834.749	14.021961	12.524609	2000-2009 –> 2010-2019	2.707041	1.2037454	47352.758	36.426091	23	28
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7616	1.5035060	27836.877	14.026350	12.533543	2000-2009 –> 2010-2019	2.707689	1.2041827	47359.301	36.432031	26	33
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	7616	1.5040392	27842.278	47.546740	12.550040	2000-2009 –> 2010-2019	2.708885	1.2048458	47371.395	100.291847	27	36
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7616	1.4856405	27656.798	290.562986	12.448378	2000-2009 –> 2010-2019	2.732161	1.2465206	47601.343	541.546951	8	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3155	0.9099218	8371.859	280.110243	6.284666	1982-1999 –> 2000-2009	2.670521	1.7605995	17860.306	521.082103	1	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3155	0.9171826	8422.011	192.759482	6.264069	1982-1999 –> 2000-2009	2.671870	1.7546872	17894.399	391.123700	4	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3155	0.9124683	8389.494	193.094916	6.277608	1982-1999 –> 2000-2009	2.673112	1.7606435	17878.060	392.048370	3	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3155	0.9104956	8375.837	198.271854	6.290824	1982-1999 –> 2000-2009	2.675645	1.7651496	17876.606	416.375722	2	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3155	0.9329683	8529.689	201.186309	6.955814	1982-1999 –> 2000-2009	2.989047	2.0560788	18758.804	419.271633	13	41
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3155	0.9363262	8550.359	194.047283	7.112102	1982-1999 –> 2000-2009	3.023452	2.0871263	18849.024	411.499363	15	44
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3155	1.3448725	10837.150	185.731502	8.261513	1982-1999 –> 2000-2009	3.065990	1.7211180	20217.321	382.567622	21	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	3155	1.2798207	10524.306	11.175717	7.814740	1982-1999 –> 2000-2009	3.106026	1.8262052	20187.413	25.678948	17	25
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3155	1.3803153	10999.291	179.447120	8.692983	1982-1999 –> 2000-2009	3.140978	1.7606629	20485.909	364.042077	32	37
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	3155	1.2836015	10540.919	3.725091	7.759561	1982-1999 –> 2000-2009	3.146323	1.8627220	20296.545	7.907514	19	38
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4117	1.0974556	12463.256	351.335929	17.628081	2000-2009 –> 2010-2019	2.007377	0.9099218	20835.115	631.446172	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4117	1.0980840	12467.969	261.194972	17.631601	2000-2009 –> 2010-2019	2.008580	0.9104956	20843.807	459.466826	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4117	1.0997523	12480.470	257.331643	17.628892	2000-2009 –> 2010-2019	2.012221	0.9124683	20869.964	450.426559	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4117	1.1038153	12510.834	256.997645	17.648790	2000-2009 –> 2010-2019	2.020998	0.9171826	20932.845	449.757128	4	8
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4117	1.1346320	12737.563	250.739940	18.297955	2000-2009 –> 2010-2019	2.060285	0.9256526	21217.578	440.004493	5	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4117	1.1346909	12735.990	250.509661	18.326256	2000-2009 –> 2010-2019	2.061549	0.9268585	21222.221	439.546471	6	15
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4117	1.1382025	12763.434	247.860073	18.387766	2000-2009 –> 2010-2019	2.063811	0.9256079	21243.144	435.233225	7	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4117	1.1383063	12762.184	247.550473	18.425450	2000-2009 –> 2010-2019	2.065755	0.9274484	21252.429	434.821528	8	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4117	1.1402400	12778.160	264.970105	18.421498	2000-2009 –> 2010-2019	2.066222	0.9259823	21260.423	465.855037	9	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4117	1.1406449	12781.084	316.181596	18.428526	2000-2009 –> 2010-2019	2.066682	0.9260371	21263.719	546.240467	11	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	616	0.6253863	1183.849	34.295669	1.761189	1982-1999 –> 2000-2009	1.385367	0.7599804	2683.379	54.196602	1	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	616	0.7033788	1328.641	38.047334	4.449517	1982-1999 –> 2000-2009	1.426452	0.7230728	2763.553	61.721972	11	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	616	0.7029188	1327.835	6.172846	4.442290	1982-1999 –> 2000-2009	1.426588	0.7236696	2763.818	10.146811	10	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	616	0.7028674	1327.745	8.112448	4.441565	1982-1999 –> 2000-2009	1.426607	0.7237393	2763.853	13.398637	9	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	616	0.7027218	1327.490	186.560091	4.438888	1982-1999 –> 2000-2009	1.426624	0.7239020	2763.889	280.377302	8	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	616	0.6861848	1298.151	362.248519	2.749033	1982-1999 –> 2000-2009	1.435344	0.7491593	2779.066	713.748196	7	13
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	616	0.7234099	1363.236	8.130248	4.679927	1982-1999 –> 2000-2009	1.461108	0.7376977	2824.139	13.545469	13	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	616	0.6499902	1231.389	380.478683	1.701162	1982-1999 –> 2000-2009	1.489167	0.8391768	2859.588	784.379417	4	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	616	0.6500217	1231.449	368.354498	1.701609	1982-1999 –> 2000-2009	1.489858	0.8398359	2860.667	709.646859	5	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	616	0.6493517	1230.178	378.833211	1.699295	1982-1999 –> 2000-2009	1.490039	0.8406872	2860.711	718.425810	3	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star	1121	0.5351685	1793.621	7.219349	3.777172	2000-2009 –> 2010-2019	1.160555	0.6253863	2977.470	41.515017	5	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1121	0.5323718	1781.874	859.027041	4.834411	2000-2009 –> 2010-2019	1.181420	0.6490480	3011.476	1631.037684	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1121	0.5327580	1783.500	985.546981	4.841931	2000-2009 –> 2010-2019	1.182748	0.6499902	3014.889	1366.025664	3	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1121	0.5331575	1785.180	848.710436	4.838459	2000-2009 –> 2010-2019	1.183179	0.6500217	3016.629	1217.064934	4	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1121	0.5077774	1675.830	944.143876	5.932434	2000-2009 –> 2010-2019	1.193962	0.6861848	2973.980	1306.392395	1	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1121	0.5860735	1995.337	7.218307	3.259561	2000-2009 –> 2010-2019	1.236387	0.6503139	3225.339	36.570323	7	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1121	0.5502622	1853.978	857.560062	5.979781	2000-2009 –> 2010-2019	1.256243	0.7059804	3185.168	1179.516232	6	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1121	0.6154765	2107.086	95.213097	3.996841	2000-2009 –> 2010-2019	1.318198	0.7027218	3434.576	281.773189	11	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1121	0.6154637	2107.040	8.373769	3.998969	2000-2009 –> 2010-2019	1.318331	0.7028674	3434.785	16.486217	10	18
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1121	0.6154572	2107.016	4.378786	4.000121	2000-2009 –> 2010-2019	1.318376	0.7029188	3434.851	10.551631	9	18

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	20.978628	41433.360
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	20.322262	44072.657
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	15.117363	13372.315
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	13.759599	13049.225
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	11.783099	12039.518
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	12.237048	8843.865
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.926495	17206.870
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	11.574441	12452.435
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	9.636938	18735.743
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	9.949405	18970.528
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.354355	32931.397
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	9.277025	34580.525
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.191272	48381.215
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.534113	55763.363
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.354948	15766.226
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.398158	19894.358
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	8.048979	31542.315
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.364653	40431.535
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.230832	45365.672
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.688727	46703.425
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.273504	10447.628
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.427325	12319.239
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.891975	10043.157
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.552920	12968.048
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	8.599928	7111.848
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.236955	9393.869
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.814590	10188.798
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.696958	12461.945
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	19.434568	199897.902
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	20.454180	268815.872
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	11.841970	50924.685
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	13.717363	53768.201
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.609004	33051.909
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	10.945730	38208.236
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.267608	41292.758
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.114716	46577.890
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.168192	62766.124
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.112956	72211.298
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	7.451574	77850.912
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.371299	91092.432
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	7.020669	64838.928
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.065276	85700.178
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.977655	22191.700
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.081711	29349.076
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.965470	25624.350
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.123245	31640.954
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.777117	37908.194
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.240139	48634.931
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.326478	19021.915
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.659093	27153.720
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.627887	36374.692
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.705686	47340.708
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	2.916297	19030.439
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.043348	21094.124
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.445715	2792.266
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.234940	3170.916

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
3253031	Donghe-Zhu	2021-08-05
6c70952	Donghe-Zhu	2021-08-01
2666bd7	Donghe-Zhu	2021-08-01
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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
3253031	Donghe-Zhu	2021-08-05
6c70952	Donghe-Zhu	2021-08-01
2666bd7	Donghe-Zhu	2021-08-01
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
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]	7	8	7	7	10	3	5
(26,26.5]	8	7	6	6	6	10	7
(26.5,26.75]	8	7	5	5	6	10	8
(26.75,27]	8	6	5	6	4	10	9
(27,27.25]	7	9	7	6	4	4	10
(27.25,27.5]	9	10	6	6	4	6	7
(27.5,27.75]	9	10	7	5	3	6	7
(27.75,27.85]	8	10	7	8	4	4	7
(27.85,27.95]	8	10	6	6	5	6	8
(27.95,28.05]	5	4	6	8	10	6	8
(28.05,28.1]	8	3	6	6	7	10	7
(28.1,28.15]	8	3	6	6	9	7	7
(28.15,28.2]	6	5	3	7	5	10	9
(28.2, Inf]	6	5	4	6	10	9	7
total	105.00	97.00	81.00	88.00	87.00	101.00	106.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	8	9	6	8	8	4	6
(26,26.5]	8	8	5	6	5	10	7
(26.5,26.75]	8	9	5	5	5	10	6
(26.75,27]	7	5	7	7	4	10	8
(27,27.25]	9	10	7	7	3	4	7
(27.25,27.5]	9	10	7	5	3	6	7
(27.5,27.75]	9	10	7	5	3	6	7
(27.75,27.85]	8	10	5	6	4	9	6
(27.85,27.95]	9	9	5	6	5	9	6
(27.95,28.05]	7	5	8	5	10	7	6
(28.05,28.1]	8	5	9	6	5	5	5
(28.1,28.15]	9	2	7	6	7	7	6
(28.15,28.2]	6	4	4	6	5	10	10
(28.2, Inf]	5	5	4	6	10	9	8
total	110.00	101.00	86.00	84.00	77.00	106.00	95.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	7	7	5	6	10	5	9
(26,26.5]	9	10	5	5	3	10	5
(26.5,26.75]	8	10	5	5	5	10	4
(26.75,27]	9	10	4	4	4	10	5
(27,27.25]	5	10	8	6	5	10	4
(27.25,27.5]	6	10	7	6	10	5	4
(27.5,27.75]	7	10	7	6	6	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]	5	6	7	4	10	6	10
(28.05,28.1]	6	4	7	6	10	4	10
(28.1,28.2]	6	4	6	7	10	4	10
(28.2,28.3]	5	10	7	7	10	3	5
(28.3, Inf]	7	6	6	6	10	7	8
total	92.00	111.00	86.00	77.00	112.00	91.00	101.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	6	8	4	7	10	4	9
(26,26.5]	9	10	5	5	3	10	5
(26.5,26.75]	7	10	6	6	4	10	4
(26.75,27]	7	10	6	6	4	10	4
(27,27.25]	5	10	8	6	5	10	4
(27.25,27.5]	8	10	6	7	6	6	6
(27.5,27.75]	8	10	6	5	5	7	8
(27.75,27.85]	7	10	6	5	6	6	9
(27.85,27.95]	8	10	6	5	6	5	8
(27.95,28.05]	7	8	6	4	9	5	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	7	6	7	10	5	6
total	100.00	121.00	84.00	84.00	92.00	90.00	99.00

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
3253031	Donghe-Zhu	2021-08-05
6c70952	Donghe-Zhu	2021-08-01
2666bd7	Donghe-Zhu	2021-08-01
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
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
3253031	Donghe-Zhu	2021-08-05
6c70952	Donghe-Zhu	2021-08-01
2666bd7	Donghe-Zhu	2021-08-01
e51cfa2	Donghe-Zhu	2021-08-01
78cbc18	Donghe-Zhu	2021-08-01
c55d4d7	Donghe-Zhu	2021-08-01
26741db	Donghe-Zhu	2021-08-01
ca539b5	Donghe-Zhu	2021-08-01
1e98138	Donghe-Zhu	2021-08-01
777b9e9	Donghe-Zhu	2021-08-01
b110c47	Donghe-Zhu	2021-08-01
3611a48	Donghe-Zhu	2021-08-01
af832ef	Donghe-Zhu	2021-07-31
016f9ed	Donghe-Zhu	2021-07-31
2080ac5	Donghe-Zhu	2021-07-31
50f0a16	Donghe-Zhu	2021-07-31
1682579	Donghe-Zhu	2021-07-31
9fa8832	Donghe-Zhu	2021-07-31
4abf542	Donghe-Zhu	2021-07-31
a2483f0	Donghe-Zhu	2021-07-31
3300527	Donghe-Zhu	2021-07-31
afeb6fd	Donghe-Zhu	2021-07-31
cb3ef32	Donghe-Zhu	2021-07-31
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
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