eMLR - model fitting

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Last updated: 2021-08-01

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: a426124

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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	2666bd7	Donghe-Zhu	2021-08-01	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 ~ temp + aou + nitrate + silicate + phosphate_star	312	4.5706625	1847.684	416.941486	15.029800	1982-1999 –> 2000-2009	8.497871	3.9272082	4297.406	663.558595	1	3
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	312	4.7137642	1866.921	425.239793	13.814871	1982-1999 –> 2000-2009	8.629890	3.9161254	4314.173	686.339726	4	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	312	4.6564326	1859.285	334.329289	14.355395	1982-1999 –> 2000-2009	8.706877	4.0504440	4336.012	471.934424	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	312	4.7775152	1875.304	433.816473	12.719290	1982-1999 –> 2000-2009	8.887335	4.1098197	4364.750	572.334703	5	10
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	312	4.6837639	1860.937	334.321328	14.988833	1982-1999 –> 2000-2009	8.984781	4.3010169	4388.126	461.453212	3	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	312	4.9496723	1897.394	168.549030	14.883828	1982-1999 –> 2000-2009	9.093882	4.1442102	4394.123	413.748437	7	13
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	312	4.8394065	1881.336	352.912212	13.075010	1982-1999 –> 2000-2009	9.103759	4.2643521	4401.042	484.580955	6	14
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	312	5.1257878	1919.211	424.203845	14.674527	1982-1999 –> 2000-2009	9.144064	4.0182759	4388.969	692.273643	12	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	312	4.9995280	1903.648	368.148481	14.420583	1982-1999 –> 2000-2009	9.328344	4.3288162	4438.467	508.427982	9	19
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	312	4.9497015	1895.398	145.038206	14.865253	1982-1999 –> 2000-2009	9.459386	4.5096844	4463.993	299.394315	8	20
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	485	4.7875178	2909.402	222.738955	23.755534	2000-2009 –> 2010-2019	9.358180	4.5706625	4757.086	639.680441	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	485	4.8180345	2915.565	230.733966	23.373837	2000-2009 –> 2010-2019	9.531799	4.7137642	4782.487	655.973759	2	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	485	4.9431507	2940.433	280.800043	27.376029	2000-2009 –> 2010-2019	9.892823	4.9496723	4837.827	449.349073	3	10
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	485	4.9454537	2938.885	156.925090	26.991377	2000-2009 –> 2010-2019	9.895155	4.9497015	4834.283	301.963296	4	12
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	485	5.5166479	3046.908	252.397077	39.119346	2000-2009 –> 2010-2019	10.173081	4.6564326	4906.193	586.726366	7	9
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	485	5.0739715	2965.771	233.387387	18.278177	2000-2009 –> 2010-2019	10.199759	5.1257878	4884.982	657.591232	5	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	485	5.5166658	3044.911	182.800849	39.160167	2000-2009 –> 2010-2019	10.200430	4.6837639	4905.848	517.122177	8	11
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	485	5.5300934	3049.269	242.219274	38.878222	2000-2009 –> 2010-2019	10.307609	4.7775152	4924.573	676.035747	9	14
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	485	5.5317398	3047.558	188.992929	38.556815	2000-2009 –> 2010-2019	10.371146	4.8394065	4928.894	541.905141	10	16
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	485	5.6273333	3066.177	221.407747	37.004848	2000-2009 –> 2010-2019	10.626861	4.9995280	4969.825	589.556228	11	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	269	5.7512315	1718.574	279.165223	17.035149	1982-1999 –> 2000-2009	12.574203	6.8229711	3949.825	330.109805	2	8
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	269	5.9332894	1735.340	622.226902	17.309170	1982-1999 –> 2000-2009	12.783946	6.8506564	3969.280	907.392180	5	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	269	6.0420544	1745.113	285.307926	17.119747	1982-1999 –> 2000-2009	12.805664	6.7636094	3970.562	386.429165	9	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	269	6.0013355	1741.475	285.898136	16.996689	1982-1999 –> 2000-2009	12.806154	6.8048185	3970.957	334.238326	7	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	269	6.0883115	1749.216	314.458297	16.900443	1982-1999 –> 2000-2009	12.847066	6.7587542	3974.188	388.527674	10	11
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	269	5.6218027	1706.328	118.088509	14.567048	1982-1999 –> 2000-2009	13.033494	7.4116908	3992.534	143.267947	1	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	269	6.1223433	1752.215	292.770828	16.019428	1982-1999 –> 2000-2009	13.063525	6.9411817	3994.872	395.144534	14	23
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	269	6.5293041	1786.839	272.353638	19.781454	1982-1999 –> 2000-2009	13.290672	6.7613674	4012.067	344.044955	25	27
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	269	6.5059279	1784.909	270.985097	16.513451	1982-1999 –> 2000-2009	13.441964	6.9360359	4027.073	340.108941	24	32
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	269	6.6825480	1797.320	255.809133	19.630864	1982-1999 –> 2000-2009	13.464269	6.7817213	4022.544	326.005944	35	39
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	400	4.9980989	2436.397	29.261469	12.606887	2000-2009 –> 2010-2019	10.749330	5.7512315	4154.971	308.426692	6	8
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	400	4.9698175	2431.857	223.484531	11.827932	2000-2009 –> 2010-2019	10.903107	5.9332894	4167.198	845.711432	4	10
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	400	4.9630197	2430.762	27.377278	12.167085	2000-2009 –> 2010-2019	10.964355	6.0013355	4172.238	313.275413	1	9
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	400	4.9639464	2430.912	70.556686	12.648091	2000-2009 –> 2010-2019	11.006001	6.0420544	4176.025	355.864612	2	12
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	400	4.9646858	2431.031	51.759347	12.738221	2000-2009 –> 2010-2019	11.052997	6.0883115	4180.247	366.217644	3	14
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	400	5.7246305	2544.973	20.530209	15.336120	2000-2009 –> 2010-2019	11.346433	5.6218027	4251.301	138.618718	12	13
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	400	5.2387826	2474.022	72.129797	13.701314	2000-2009 –> 2010-2019	11.361126	6.1223433	4226.237	364.900625	9	24
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	400	4.9708591	2432.025	50.481836	11.949756	2000-2009 –> 2010-2019	11.500163	6.5293041	4218.864	322.835474	5	31
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	400	5.0140389	2436.944	48.204460	13.011530	2000-2009 –> 2010-2019	11.696587	6.6825480	4234.264	304.013593	7	44
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	400	5.2296363	2472.624	46.082090	13.518905	2000-2009 –> 2010-2019	11.735564	6.5059279	4257.533	317.067187	8	33
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	200	5.4546682	1260.164	202.277957	14.557714	1982-1999 –> 2000-2009	9.965218	4.5105499	3509.137	240.596018	1	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	200	5.4869407	1262.524	144.389950	18.926246	1982-1999 –> 2000-2009	10.014725	4.5277839	3514.411	172.624306	2	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	200	5.5018892	1263.612	347.713362	15.506930	1982-1999 –> 2000-2009	10.024794	4.5229047	3514.675	743.984928	3	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	200	5.6234483	1272.353	235.828085	15.981369	1982-1999 –> 2000-2009	10.142105	4.5186572	3522.699	278.916042	5	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	200	5.6037578	1268.950	144.129054	18.741902	1982-1999 –> 2000-2009	10.171432	4.5676744	3525.539	171.011469	4	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	200	5.7361101	1280.288	213.097949	11.756899	1982-1999 –> 2000-2009	10.335434	4.5993234	3544.152	260.216939	6	26
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	200	5.7392963	1280.510	375.706279	11.699869	1982-1999 –> 2000-2009	10.336072	4.5967756	3543.950	760.791955	7	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	200	5.7461498	1280.987	221.751342	11.665901	1982-1999 –> 2000-2009	10.343746	4.5975958	3544.564	276.161484	8	27
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	200	5.9139085	1292.498	226.417385	12.520423	1982-1999 –> 2000-2009	10.411930	4.4980217	3539.346	267.571197	10	11
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	200	5.9314345	1293.682	27.668342	20.378048	1982-1999 –> 2000-2009	10.431215	4.4997801	3540.829	79.584010	12	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	297	5.4444410	1863.439	21.205470	15.509633	2000-2009 –> 2010-2019	10.899109	5.4546682	3123.603	223.483428	7	8
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	297	5.4228907	1861.083	31.224928	15.692268	2000-2009 –> 2010-2019	10.909831	5.4869407	3123.607	175.614878	5	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	297	5.4583762	1864.957	90.150052	15.634292	2000-2009 –> 2010-2019	10.960265	5.5018892	3128.569	437.863414	9	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	297	5.4770226	1864.983	19.337478	15.788241	2000-2009 –> 2010-2019	11.080780	5.6037578	3133.933	163.466532	12	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	297	5.4679293	1865.996	29.353888	15.778289	2000-2009 –> 2010-2019	11.091378	5.6234483	3138.350	265.181973	10	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	297	5.4134845	1860.052	22.759461	15.904998	2000-2009 –> 2010-2019	11.149595	5.7361101	3140.340	235.857410	3	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	297	5.4114928	1859.833	84.348315	15.928158	2000-2009 –> 2010-2019	11.150789	5.7392963	3140.343	460.054594	2	9
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	297	5.4101228	1859.683	34.357843	15.941690	2000-2009 –> 2010-2019	11.156273	5.7461498	3140.670	256.109185	1	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	297	5.4484522	1861.876	21.431277	16.255454	2000-2009 –> 2010-2019	11.243166	5.7947138	3144.230	151.869563	8	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	297	5.4208896	1860.864	30.985434	15.962909	2000-2009 –> 2010-2019	11.334798	5.9139085	3153.362	257.402819	4	14
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	491	5.5930324	3097.932	119.669233	14.853906	1982-1999 –> 2000-2009	10.313643	4.7206109	7306.810	255.304162	2	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	491	5.6335012	3105.012	153.503644	14.733369	1982-1999 –> 2000-2009	10.364812	4.7313113	7317.087	325.502300	4	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	491	5.5316042	3087.087	118.142097	13.251884	1982-1999 –> 2000-2009	10.392886	4.8612822	7337.427	150.326495	1	6
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	491	5.6105860	3099.009	106.306287	13.507275	1982-1999 –> 2000-2009	10.474457	4.8638710	7348.101	136.487606	3	9
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	491	5.6783017	3112.790	128.446524	12.928508	1982-1999 –> 2000-2009	10.730002	5.0517000	7417.383	183.804124	5	28
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	491	5.7175456	3119.554	590.342650	13.305462	1982-1999 –> 2000-2009	10.786720	5.0691741	7429.022	1379.015658	6	30
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	491	5.7214435	3118.223	116.449792	13.448609	1982-1999 –> 2000-2009	10.792851	5.0714080	7426.313	148.365720	7	32
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	491	6.0642209	3177.360	435.700451	20.438921	1982-1999 –> 2000-2009	10.899794	4.8355735	7420.213	1000.202134	19	22
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	491	5.9256976	3154.669	166.849818	15.220951	1982-1999 –> 2000-2009	10.911257	4.9855588	7440.652	209.495184	9	28
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	491	5.9993050	3166.792	691.983804	17.850352	1982-1999 –> 2000-2009	10.922709	4.9234041	7435.061	1490.682215	12	23
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	542	5.1137611	3321.147	433.313474	16.053676	2000-2009 –> 2010-2019	10.692374	5.5786133	6416.544	1209.893871	1	3
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	542	5.1251243	3323.553	57.296429	16.254590	2000-2009 –> 2010-2019	10.718157	5.5930324	6421.485	176.965662	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	542	5.1298572	3324.554	74.274446	16.340616	2000-2009 –> 2010-2019	10.763358	5.6335012	6429.565	227.778090	3	8
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	542	5.2646591	3352.671	22.907937	17.477127	2000-2009 –> 2010-2019	10.796263	5.5316042	6439.758	141.050034	14	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	542	5.2658504	3350.916	21.427168	17.548856	2000-2009 –> 2010-2019	10.876436	5.6105860	6449.925	127.733456	16	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	542	5.2388939	3347.353	348.187499	18.276879	2000-2009 –> 2010-2019	10.956440	5.7175456	6466.907	938.530149	8	15
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	542	5.2815658	3356.147	31.652459	18.641488	2000-2009 –> 2010-2019	10.959867	5.6783017	6468.937	160.098983	19	25
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	542	5.3010290	3358.134	21.526221	18.468739	2000-2009 –> 2010-2019	11.022472	5.7214435	6476.357	137.976013	20	28
Atlantic	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	542	5.3064129	3361.234	37.438161	18.949305	2000-2009 –> 2010-2019	11.150415	5.8440024	6502.270	209.084488	21	30
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	542	5.2571303	3351.120	372.149422	17.404480	2000-2009 –> 2010-2019	11.256435	5.9993050	6517.912	1064.133227	11	24
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	813	4.8977554	4904.545	833.807433	20.628928	1982-1999 –> 2000-2009	8.301153	3.4033972	12209.905	1621.292952	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	813	4.9142523	4910.013	576.616267	17.348681	1982-1999 –> 2000-2009	8.416362	3.5021092	12294.227	1307.986861	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	813	5.0272490	4944.977	342.394980	17.919124	1982-1999 –> 2000-2009	8.547068	3.5198193	12341.104	767.142779	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	813	5.0620594	4958.198	133.107537	16.154467	1982-1999 –> 2000-2009	8.661570	3.5995101	12418.070	262.852833	4	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	813	5.1910360	4999.108	213.642202	19.241373	1982-1999 –> 2000-2009	8.738529	3.5474928	12418.833	360.748296	6	10
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	813	5.1587161	4988.952	163.468109	15.852121	1982-1999 –> 2000-2009	8.790570	3.6318542	12473.497	322.660506	5	12
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	813	5.2979254	5032.249	305.741120	18.813699	1982-1999 –> 2000-2009	8.884746	3.5868206	12482.381	522.494070	8	13
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	813	5.2560318	5017.340	90.094119	16.723722	1982-1999 –> 2000-2009	8.894184	3.6381524	12504.663	168.494955	7	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	813	5.3541842	5047.424	129.708018	16.380572	1982-1999 –> 2000-2009	9.026057	3.6718726	12560.192	248.869689	10	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	813	5.3436068	5046.209	63.096497	13.436295	1982-1999 –> 2000-2009	9.513467	4.1698605	12911.741	105.516682	9	21
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1113	4.6607159	6598.748	795.888272	14.383792	2000-2009 –> 2010-2019	9.574968	4.9142523	11508.761	1372.504539	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1113	4.7085196	6619.463	593.841397	14.686830	2000-2009 –> 2010-2019	9.735769	5.0272490	11564.440	936.236377	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1113	4.7228769	6628.240	128.176223	14.730146	2000-2009 –> 2010-2019	9.784936	5.0620594	11586.438	261.283760	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1113	4.7388584	6635.760	172.143681	14.836754	2000-2009 –> 2010-2019	9.897574	5.1587161	11624.712	335.611790	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1113	4.7859383	6657.766	209.068699	15.137954	2000-2009 –> 2010-2019	9.976974	5.1910360	11656.873	422.710900	6	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1113	4.7981373	6661.432	99.817733	15.225264	2000-2009 –> 2010-2019	10.054169	5.2560318	11678.772	189.911852	8	14
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1113	4.8063330	6667.231	305.532623	15.275172	2000-2009 –> 2010-2019	10.104258	5.2979254	11699.480	611.273743	9	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1113	4.8151536	6669.313	147.347845	15.335524	2000-2009 –> 2010-2019	10.169338	5.3541842	11716.737	277.055862	10	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1113	4.8412691	6683.353	29.466957	15.365712	2000-2009 –> 2010-2019	10.184876	5.3436068	11729.562	92.563454	13	21
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1113	4.8697236	6694.398	12.810226	15.354013	2000-2009 –> 2010-2019	10.256256	5.3865327	11751.616	75.570697	20	30
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1634	4.2422601	9373.665	107.382624	12.156606	1982-1999 –> 2000-2009	7.247382	3.0051216	23505.579	197.000114	1	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1634	4.2867323	9407.746	186.206932	12.053814	1982-1999 –> 2000-2009	7.264628	2.9778958	23488.657	439.600799	3	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1634	4.3420176	9449.623	102.677167	17.230693	1982-1999 –> 2000-2009	7.393313	3.0512951	23666.987	151.464145	5	10
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1634	4.2699380	9394.918	63.502460	12.108251	1982-1999 –> 2000-2009	7.434902	3.1649644	23817.252	100.364220	2	13
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1634	4.4300463	9515.215	123.735876	12.891639	1982-1999 –> 2000-2009	7.458210	3.0281635	23689.934	237.901635	7	11
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1634	4.5238758	9583.709	217.107376	16.316091	1982-1999 –> 2000-2009	7.466000	2.9421244	23596.896	481.217546	8	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	1634	4.3195151	9430.643	58.098402	11.997899	1982-1999 –> 2000-2009	7.485241	3.1657263	23852.326	76.035643	4	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1634	4.4042177	9494.106	102.528878	23.457718	1982-1999 –> 2000-2009	7.553397	3.1491792	23886.420	119.773264	6	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	1634	4.5426372	9595.234	53.757677	15.809905	1982-1999 –> 2000-2009	7.708177	3.1655393	24016.587	66.981256	9	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1634	4.7747363	9760.082	168.234531	14.257225	1982-1999 –> 2000-2009	7.923429	3.1486925	24153.531	524.725615	10	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2410	4.3831746	13976.151	83.178228	15.476522	2000-2009 –> 2010-2019	8.625435	4.2422601	23349.816	190.560852	3	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2410	4.4162129	14012.345	23.927778	13.358552	2000-2009 –> 2010-2019	8.686151	4.2699380	23407.263	87.430239	16	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2410	4.4085071	14003.928	246.596135	14.161172	2000-2009 –> 2010-2019	8.695239	4.2867323	23411.674	432.803067	10	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2410	4.4162155	14010.348	10.049320	13.353739	2000-2009 –> 2010-2019	8.735731	4.3195151	23440.991	68.147722	17	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2410	4.3937446	13987.760	47.255785	14.385754	2000-2009 –> 2010-2019	8.735762	4.3420176	23437.384	149.932952	4	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2410	4.4124342	14006.219	8.422782	13.442863	2000-2009 –> 2010-2019	8.816652	4.4042177	23500.325	110.951660	14	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2410	4.4087749	14004.221	99.206293	16.125596	2000-2009 –> 2010-2019	8.838821	4.4300463	23519.436	222.942169	11	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2410	4.4012583	13995.996	414.544846	14.460899	2000-2009 –> 2010-2019	8.925134	4.5238758	23579.705	631.652222	7	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2410	4.4162955	14010.436	9.409679	13.331814	2000-2009 –> 2010-2019	8.958933	4.5426372	23605.670	63.167356	18	27
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2410	4.3986667	13993.157	49.533521	14.719495	2000-2009 –> 2010-2019	9.227224	4.8285576	23789.870	159.384477	6	19
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3091	5.4248899	19239.625	20.347496	31.484499	1982-1999 –> 2000-2009	8.906333	3.4814430	38030.311	44.063923	1	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3091	5.5086457	19334.341	41.811413	34.639066	1982-1999 –> 2000-2009	8.921120	3.4124744	37984.122	92.595898	5	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3091	5.4314477	19247.094	48.048860	32.311854	1982-1999 –> 2000-2009	9.056340	3.6248920	38322.119	95.317913	2	12
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3091	5.4477012	19265.566	74.579089	32.019426	1982-1999 –> 2000-2009	9.062874	3.6151724	38321.683	202.655937	3	11
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3091	5.6076883	19444.503	81.022476	34.242359	1982-1999 –> 2000-2009	9.109564	3.5018761	38276.398	354.308952	7	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3091	5.4728786	19292.071	15.772002	31.136764	1982-1999 –> 2000-2009	9.117848	3.6449693	38403.992	30.753108	4	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3091	5.5421807	19371.861	49.960942	32.112325	1982-1999 –> 2000-2009	9.191927	3.6497465	38495.006	107.397102	6	24
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	3091	5.6163190	19452.010	17.238801	33.732898	1982-1999 –> 2000-2009	9.212238	3.5959187	38468.523	28.902533	8	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3091	5.7184628	19563.432	37.031346	37.032362	1982-1999 –> 2000-2009	9.360618	3.6421555	38669.915	50.508777	19	32
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3091	5.6257844	19464.420	48.092944	38.240903	1982-1999 –> 2000-2009	9.395221	3.7694363	38814.794	148.673173	9	31
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3609	5.0581495	21956.281	34.683520	43.035913	2000-2009 –> 2010-2019	10.566795	5.5086457	41290.622	76.494933	1	7
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3609	5.2949444	22286.518	242.787758	44.952891	2000-2009 –> 2010-2019	10.902633	5.6076883	41731.020	323.810235	9	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3609	5.5192415	22585.978	17.087774	28.028948	2000-2009 –> 2010-2019	10.944131	5.4248899	41825.603	37.435270	14	16
Atlantic	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3609	5.6224838	22719.750	786.307288	30.628486	2000-2009 –> 2010-2019	10.987244	5.3647598	41890.470	1045.601085	16	17
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3609	5.6248349	22722.767	34.066797	33.150022	2000-2009 –> 2010-2019	11.056283	5.4314477	41969.861	82.115657	17	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3609	5.6464917	22750.505	126.127395	31.886137	2000-2009 –> 2010-2019	11.094193	5.4477012	42016.070	200.706483	19	23
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	3609	5.6663807	22773.885	9.051959	29.464934	2000-2009 –> 2010-2019	11.139259	5.4728786	42065.955	24.823962	25	30
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3609	5.0654129	21966.639	37.111145	44.233407	2000-2009 –> 2010-2019	11.140702	6.0752886	41906.264	86.236862	2	27
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3609	5.6550386	22761.422	44.552514	33.156363	2000-2009 –> 2010-2019	11.197219	5.5421807	42133.283	94.513455	21	28
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3609	5.6298136	22727.153	9.622190	31.896141	2000-2009 –> 2010-2019	11.348276	5.7184628	42290.585	46.653535	18	40
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1443	3.6720424	7863.015	128.928120	34.169747	1982-1999 –> 2000-2009	7.028463	3.3564207	14209.607	900.800255	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1443	3.7348574	7911.967	66.516278	34.814391	1982-1999 –> 2000-2009	7.134022	3.3991649	14289.030	117.764302	2	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1443	3.7710458	7939.796	72.372279	35.523348	1982-1999 –> 2000-2009	7.250446	3.4794007	14373.039	142.861653	3	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1443	3.7710587	7937.805	53.342188	35.516936	1982-1999 –> 2000-2009	7.253440	3.4823816	14371.111	65.010268	4	13
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1443	3.8679677	8013.033	65.527259	34.920931	1982-1999 –> 2000-2009	7.259919	3.3919517	14384.982	210.569336	6	9
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1443	3.9436515	8068.958	61.535299	35.714160	1982-1999 –> 2000-2009	7.372759	3.4291079	14467.140	125.816709	12	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1443	3.8631280	8009.420	147.337344	39.448212	1982-1999 –> 2000-2009	7.440194	3.5770659	14509.323	921.851018	5	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1443	3.8702038	8012.701	117.089010	39.281611	1982-1999 –> 2000-2009	7.453434	3.5832298	14514.750	888.663473	7	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1443	3.8864432	8026.785	71.132765	39.410928	1982-1999 –> 2000-2009	7.471875	3.5854318	14532.314	153.996458	8	25
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1443	3.8922244	8029.075	66.222268	39.287410	1982-1999 –> 2000-2009	7.477948	3.5857234	14532.799	114.449606	9	27
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1517	5.4088256	9440.549	457.480793	23.313746	2000-2009 –> 2010-2019	9.080868	3.6720424	17303.564	586.408912	3	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1517	5.3237496	9392.447	53.329711	20.565764	2000-2009 –> 2010-2019	9.094795	3.7710458	17332.243	125.701989	1	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1517	5.4569154	9467.405	44.750705	23.227611	2000-2009 –> 2010-2019	9.191773	3.7348574	17379.371	111.266983	5	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1517	5.4809368	9478.731	18.498673	23.077617	2000-2009 –> 2010-2019	9.251995	3.7710587	17416.536	71.840860	7	11
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1517	5.4821741	9481.416	119.464333	23.115065	2000-2009 –> 2010-2019	9.350142	3.8679677	17494.449	184.991591	8	14
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	1517	5.3299353	9395.970	33.564796	21.458992	2000-2009 –> 2010-2019	9.413354	4.0834188	17565.440	109.273049	2	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1517	5.4970999	9489.665	53.623498	22.960537	2000-2009 –> 2010-2019	9.440751	3.9436515	17558.623	115.158798	9	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1517	5.4710481	9475.252	34.276953	21.571082	2000-2009 –> 2010-2019	9.642478	4.1714297	17706.264	61.768741	6	25
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1517	5.5115171	9495.612	15.236693	22.796461	2000-2009 –> 2010-2019	9.703974	4.1924564	17739.134	30.379883	11	31
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	1517	5.5019325	9490.331	17.114782	22.812556	2000-2009 –> 2010-2019	9.709835	4.2079029	17744.467	77.186946	10	31
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2938	3.4653574	15654.468	146.150996	17.296877	1982-1999 –> 2000-2009	7.411650	3.9462923	29828.047	507.788592	1	8
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2938	3.5454874	15788.793	111.461154	17.824746	1982-1999 –> 2000-2009	7.477778	3.9322908	29944.344	241.741257	2	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2938	3.5885815	15859.783	143.113204	17.455978	1982-1999 –> 2000-2009	7.530904	3.9423230	30028.257	187.549845	3	9
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2938	3.6996562	16038.900	73.102885	17.722726	1982-1999 –> 2000-2009	7.658166	3.9585102	30228.158	106.301921	6	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2938	3.8235776	16232.495	137.611808	15.242928	1982-1999 –> 2000-2009	7.733468	3.9098902	30359.070	460.870933	9	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2938	3.8846210	16325.564	92.236128	14.921619	1982-1999 –> 2000-2009	7.759290	3.8746689	30406.243	217.647982	13	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2938	3.8841673	16324.878	123.654933	15.112212	1982-1999 –> 2000-2009	7.761335	3.8771679	30408.827	168.473244	12	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2938	3.6205997	15911.978	55.480441	16.231219	1982-1999 –> 2000-2009	7.829621	4.2090216	30412.466	93.731907	4	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2938	3.9533760	16428.656	94.875619	14.988944	1982-1999 –> 2000-2009	7.841071	3.8876946	30526.356	138.309499	21	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2938	3.7615679	16136.418	103.380974	21.821475	1982-1999 –> 2000-2009	7.930098	4.1685304	30587.877	246.861486	7	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3510	5.9418699	22484.756	325.330156	32.981621	2000-2009 –> 2010-2019	9.765448	3.8235776	38717.251	462.941964	4	13
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3510	5.8937883	22427.719	62.057881	35.693842	2000-2009 –> 2010-2019	9.777956	3.8841673	38752.597	185.712814	2	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3510	5.8937152	22427.632	134.558910	35.374980	2000-2009 –> 2010-2019	9.778336	3.8846210	38753.196	226.795038	1	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3510	6.1666700	22745.445	37.649165	30.208927	2000-2009 –> 2010-2019	9.787270	3.6205997	38657.422	93.129606	10	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3510	6.3300519	22929.014	337.752326	76.555295	2000-2009 –> 2010-2019	9.795409	3.4653574	38583.482	483.903322	16	17
Atlantic	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3510	5.9023167	22437.870	56.522058	35.681871	2000-2009 –> 2010-2019	9.855693	3.9533760	38866.526	151.397676	3	24
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3510	6.1167121	22688.342	144.246084	57.718359	2000-2009 –> 2010-2019	9.878280	3.7615679	38824.760	247.627057	9	16
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3510	6.3495772	22950.634	124.960102	75.729651	2000-2009 –> 2010-2019	9.895065	3.5454874	38739.427	236.421256	18	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3510	6.3993572	23005.455	56.595905	73.445217	2000-2009 –> 2010-2019	9.987939	3.5885815	38865.238	199.709110	19	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3510	6.2173655	22800.919	37.522219	29.607531	2000-2009 –> 2010-2019	10.102311	3.8849451	39124.974	81.791808	13	27
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	7.148784	3.5852580	45156.686	179.055841	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	7.160810	3.5962838	45186.572	168.031046	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	7.160902	3.5926637	45185.529	187.047807	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	7.191788	3.6209367	45261.943	1464.914892	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	7.193073	3.6279556	45262.997	87.158276	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	7.209084	3.6341885	45299.667	107.964179	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	7.216976	3.6392559	45318.351	111.273389	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	7.325525	3.7562159	45589.670	888.598595	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	7.347989	3.7544667	45637.741	409.574447	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	7.353538	3.7530646	45649.311	195.102107	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	4045	8.5776847	28879.950	22.273459	28.679243	1982-1999 –> 2000-2009	17.159925	8.5822399	45102.683	46.043465	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4045	8.8181553	29103.628	56.979814	29.745349	1982-1999 –> 2000-2009	17.798285	8.9801300	45532.202	94.596843	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4045	8.8205104	29105.788	59.714542	29.812907	1982-1999 –> 2000-2009	17.807138	8.9866273	45537.647	95.125061	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4045	8.8304091	29114.862	56.639120	30.070821	1982-1999 –> 2000-2009	17.846557	9.0161478	45561.616	97.444182	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4045	8.8366983	29118.621	14.805627	29.802734	1982-1999 –> 2000-2009	17.897708	9.0610094	45585.920	33.769475	8	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4045	8.8715034	29152.423	137.415047	30.295874	1982-1999 –> 2000-2009	17.945127	9.0736232	45628.040	397.112762	10	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4045	8.8213376	29106.546	25.395251	32.007517	1982-1999 –> 2000-2009	18.166209	9.3448714	45715.953	52.998634	4	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4045	8.8279727	29112.629	13.182767	31.509204	1982-1999 –> 2000-2009	18.168710	9.3407372	45720.025	22.009302	5	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4045	8.8313036	29115.681	15.077057	31.342313	1982-1999 –> 2000-2009	18.171486	9.3401822	45722.807	28.655928	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4045	8.8477652	29130.747	142.815966	36.762653	1982-1999 –> 2000-2009	18.425979	9.5782136	45852.174	398.813023	9	19
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5087	8.9339584	36729.912	32.641208	34.740366	2000-2009 –> 2010-2019	17.511643	8.5776847	65609.862	54.914667	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5087	9.2340653	37066.059	59.711053	33.213253	2000-2009 –> 2010-2019	18.052221	8.8181553	66169.687	116.690867	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5087	9.2341203	37066.120	60.204508	33.238103	2000-2009 –> 2010-2019	18.054631	8.8205104	66171.907	119.919050	5	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5087	9.2342968	37064.314	27.102688	33.226400	2000-2009 –> 2010-2019	18.070995	8.8366983	66182.936	41.908315	6	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5087	9.2056496	37034.703	152.066411	46.337564	2000-2009 –> 2010-2019	18.077153	8.8715034	66187.126	289.481458	3	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5087	9.2704540	37106.073	65.280624	33.239499	2000-2009 –> 2010-2019	18.100863	8.8304091	66220.935	121.919744	7	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5087	9.1011073	36918.502	58.653559	36.136346	2000-2009 –> 2010-2019	18.125868	9.0247607	66209.489	114.669715	2	16
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5087	9.3173457	37157.405	159.394428	42.214493	2000-2009 –> 2010-2019	18.165111	8.8477652	66288.152	302.210394	8	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5087	9.3944770	37241.282	41.794609	37.370996	2000-2009 –> 2010-2019	18.215815	8.8213376	66347.828	67.189861	10	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5087	9.4098920	37257.962	15.318368	36.714067	2000-2009 –> 2010-2019	18.237865	8.8279727	66370.591	28.501135	11	16
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2756	6.0317840	17740.489	19.564440	30.370670	1982-1999 –> 2000-2009	10.895501	4.8637165	32038.018	35.516695	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2756	6.5104212	18161.393	84.626930	28.177969	1982-1999 –> 2000-2009	11.839952	5.3295304	32894.273	143.194357	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2756	6.5110156	18161.896	27.510109	28.177313	1982-1999 –> 2000-2009	11.841608	5.3305921	32895.724	42.747351	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2756	6.5301109	18178.038	48.879596	27.697636	1982-1999 –> 2000-2009	11.870162	5.3400506	32920.305	77.087905	5	9
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2756	6.5127239	18161.342	10.010579	28.276090	1982-1999 –> 2000-2009	11.962465	5.4497410	32998.394	15.682593	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2756	6.7862480	18390.108	17.485938	23.901740	1982-1999 –> 2000-2009	12.335789	5.5495409	33315.540	27.738941	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2756	6.7976875	18397.392	16.643441	24.243591	1982-1999 –> 2000-2009	12.359568	5.5618804	33331.396	22.091947	7	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2756	6.9080774	18488.184	65.564257	22.190206	1982-1999 –> 2000-2009	12.494357	5.5862798	33445.024	112.106862	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2756	6.9091205	18487.016	54.203482	22.009039	1982-1999 –> 2000-2009	12.495671	5.5865504	33442.087	71.313929	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2756	7.0347443	18586.337	9.070428	19.755219	1982-1999 –> 2000-2009	12.627080	5.5923357	33546.334	14.387745	11	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2613	7.0837558	17660.858	14.524490	24.406177	2000-2009 –> 2010-2019	13.115540	6.0317840	35401.347	34.088930	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2613	7.5468325	17991.787	23.076753	21.895605	2000-2009 –> 2010-2019	14.057848	6.5110156	36153.683	50.586862	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2613	7.5511590	17994.783	75.971187	21.788005	2000-2009 –> 2010-2019	14.061580	6.5104212	36156.175	160.598117	4	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2613	7.5566770	17996.600	9.415301	21.491671	2000-2009 –> 2010-2019	14.069401	6.5127239	36157.942	19.425880	5	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2613	7.5988508	18027.685	47.711680	21.606785	2000-2009 –> 2010-2019	14.128962	6.5301109	36205.723	96.591276	7	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2613	7.5825547	18016.466	13.868265	21.364127	2000-2009 –> 2010-2019	14.368803	6.7862480	36406.574	31.354204	6	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	2613	7.5125320	17967.981	13.169384	22.958365	2000-2009 –> 2010-2019	14.426088	6.9135558	36460.534	29.911133	2	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2613	7.6562067	18064.983	11.400080	21.009049	2000-2009 –> 2010-2019	14.453894	6.7976875	36462.375	28.043521	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2613	7.7505081	18130.958	56.629894	19.595054	2000-2009 –> 2010-2019	14.658586	6.9080774	36619.142	122.194151	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2613	7.7603273	18135.575	34.416659	19.663263	2000-2009 –> 2010-2019	14.669448	6.9091205	36622.591	88.620140	10	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2487	5.1809986	15254.019	39.741915	20.274259	1982-1999 –> 2000-2009	9.486202	4.3052034	27232.158	79.779180	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2487	5.1999059	15272.138	22.287277	20.427225	1982-1999 –> 2000-2009	9.540123	4.3402171	27283.941	43.793409	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2487	5.2051933	15277.193	68.394128	20.474535	1982-1999 –> 2000-2009	9.553042	4.3478490	27296.297	146.615269	6	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2487	5.2033589	15275.440	51.235006	20.037046	1982-1999 –> 2000-2009	9.560428	4.3570690	27303.348	110.542850	3	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2487	5.2045530	15276.581	14.450765	19.944864	1982-1999 –> 2000-2009	9.562161	4.3576078	27305.003	28.666088	4	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2487	5.2055952	15275.577	32.363718	20.331504	1982-1999 –> 2000-2009	9.564080	4.3584850	27302.835	50.926804	7	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2487	5.2047881	15274.806	12.406475	20.020139	1982-1999 –> 2000-2009	9.565555	4.3607668	27304.239	18.715036	5	12
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2487	5.2208876	15292.168	20.632887	19.408534	1982-1999 –> 2000-2009	9.597627	4.3767397	27338.796	42.876297	8	17
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2487	5.2349767	15305.573	48.115900	20.379733	1982-1999 –> 2000-2009	9.605942	4.3709654	27346.714	94.875363	10	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2487	5.2352591	15303.841	8.420424	20.316076	1982-1999 –> 2000-2009	9.612374	4.3771145	27348.825	12.662537	11	21
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2625	5.7958429	16688.417	34.873847	19.602981	2000-2009 –> 2010-2019	11.030820	5.2349767	31993.990	82.989747	1	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2625	5.8552823	16741.984	28.007094	18.348068	2000-2009 –> 2010-2019	11.036281	5.1809986	31996.004	67.749009	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2625	5.8548622	16741.608	8.991292	18.168113	2000-2009 –> 2010-2019	11.059415	5.2045530	32018.189	23.442056	2	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2625	5.8597602	16745.998	36.590441	18.208982	2000-2009 –> 2010-2019	11.063119	5.2033589	32021.438	87.825447	4	7
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2625	5.8712744	16756.304	13.569003	18.385845	2000-2009 –> 2010-2019	11.071180	5.1999059	32028.442	35.856280	7	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2625	5.8691037	16754.362	48.267717	18.396706	2000-2009 –> 2010-2019	11.074297	5.2051933	32031.556	116.661845	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2625	5.8691973	16752.446	23.240646	18.350158	2000-2009 –> 2010-2019	11.074792	5.2055952	32028.024	55.604364	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2625	5.8713359	16754.359	8.345423	18.412698	2000-2009 –> 2010-2019	11.076124	5.2047881	32029.165	20.751898	8	13
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2625	5.8807807	16764.797	15.153429	18.366681	2000-2009 –> 2010-2019	11.101668	5.2208876	32056.965	35.786317	9	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	2625	5.8808420	16762.852	8.216610	18.356182	2000-2009 –> 2010-2019	11.113677	5.2328355	32064.390	20.557853	10	19
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3350	4.6016807	19747.913	74.910421	18.533015	1982-1999 –> 2000-2009	9.241787	4.6401060	34636.624	123.633225	1	3
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3350	4.6523663	19821.307	32.180138	17.143149	1982-1999 –> 2000-2009	9.292401	4.6400343	34709.940	58.927280	8	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3350	4.6149041	19767.138	41.943390	18.751897	1982-1999 –> 2000-2009	9.293801	4.6788968	34697.775	64.704299	2	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3350	4.6229288	19778.779	105.848185	18.794276	1982-1999 –> 2000-2009	9.294424	4.6714957	34701.443	179.288326	3	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3350	4.6639352	19835.947	9.264951	16.782023	1982-1999 –> 2000-2009	9.304057	4.6401217	34722.675	15.437243	9	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3350	4.6308861	19790.301	65.902722	17.942176	1982-1999 –> 2000-2009	9.315746	4.6848598	34727.352	123.093930	4	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3350	4.6346057	19795.681	19.739653	17.625687	1982-1999 –> 2000-2009	9.326075	4.6914697	34739.832	35.115667	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3350	4.6311065	19788.620	25.376737	17.797699	1982-1999 –> 2000-2009	9.345686	4.7145796	34755.517	41.446961	5	17
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3350	4.6366225	19796.596	9.451090	17.231493	1982-1999 –> 2000-2009	9.345849	4.7092261	34757.771	15.553380	7	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3350	4.7310333	19933.651	45.253854	18.502522	1982-1999 –> 2000-2009	9.425119	4.6940860	34880.609	82.001258	10	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3740	4.7545129	22289.685	57.116827	20.082592	2000-2009 –> 2010-2019	9.356194	4.6016807	42037.598	132.027248	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3740	4.7643193	22305.097	26.740075	20.324414	2000-2009 –> 2010-2019	9.379223	4.6149041	42072.236	68.683465	5	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3740	4.7637667	22304.229	82.962915	20.230485	2000-2009 –> 2010-2019	9.386696	4.6229288	42083.008	188.811100	4	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3740	4.7646728	22305.652	49.876475	20.411641	2000-2009 –> 2010-2019	9.395559	4.6308861	42095.954	115.779197	7	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3740	4.7674101	22307.948	22.988065	20.310931	2000-2009 –> 2010-2019	9.398517	4.6311065	42096.568	48.364802	12	17
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3740	4.7648049	22305.860	11.700351	20.486566	2000-2009 –> 2010-2019	9.399411	4.6346057	42101.540	31.440004	9	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3740	4.7664156	22306.388	7.429724	20.422881	2000-2009 –> 2010-2019	9.403038	4.6366225	42102.983	16.880814	11	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3740	4.7559044	22291.874	23.164217	19.926821	2000-2009 –> 2010-2019	9.408271	4.6523663	42113.181	55.344355	2	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3740	4.7569471	22291.514	7.240516	19.992185	2000-2009 –> 2010-2019	9.420882	4.6639352	42127.461	16.505467	3	12
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3740	4.7645692	22305.489	32.525037	20.499513	2000-2009 –> 2010-2019	9.495603	4.7310333	42239.140	77.778891	6	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5484	3.5035619	29328.378	33.593847	12.337211	1982-1999 –> 2000-2009	7.485262	3.9817005	50347.235	62.890744	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5484	3.5051728	29333.420	28.584541	12.606150	1982-1999 –> 2000-2009	7.497903	3.9927300	50373.023	58.607814	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	5484	3.5055769	29334.685	24.417697	13.189172	1982-1999 –> 2000-2009	7.507258	4.0016812	50391.083	49.786156	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5484	3.5061462	29334.466	11.526472	13.053058	1982-1999 –> 2000-2009	7.512229	4.0060826	50397.109	19.175095	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5484	3.5246847	29394.305	12.878384	12.987204	1982-1999 –> 2000-2009	7.571415	4.0467299	50534.663	24.171268	5	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5484	3.5984414	29621.451	47.263782	13.906802	1982-1999 –> 2000-2009	7.628832	4.0303911	50731.465	79.732432	6	11
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5484	3.6001170	29626.557	51.841893	14.126619	1982-1999 –> 2000-2009	7.641196	4.0410789	50756.433	95.572583	7	13
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5484	3.6103633	29657.728	20.740452	14.091241	1982-1999 –> 2000-2009	7.672833	4.0624694	50827.200	34.029193	9	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	5484	3.6016812	29629.321	12.148012	14.593080	1982-1999 –> 2000-2009	7.682842	4.0811610	50831.221	19.775221	8	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	5484	3.7051377	29939.931	9.631433	20.740511	1982-1999 –> 2000-2009	8.207498	4.5023602	51878.483	21.111187	10	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6142	3.4143108	32528.694	21.093145	14.018515	2000-2009 –> 2010-2019	6.917873	3.5035619	61857.072	54.686992	3	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	6142	3.4132931	32525.032	20.217337	14.516219	2000-2009 –> 2010-2019	6.918870	3.5055769	61859.717	44.635034	1	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6142	3.4140593	32522.495	20.565960	14.029525	2000-2009 –> 2010-2019	6.919232	3.5051728	61855.916	49.150501	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6142	3.4186173	32542.178	7.106238	14.766721	2000-2009 –> 2010-2019	6.924764	3.5061462	61876.644	18.632710	5	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6142	3.4164132	32530.960	8.835953	14.356226	2000-2009 –> 2010-2019	6.941098	3.5246847	61925.266	21.714338	4	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6142	3.5516607	33013.171	26.071835	16.049182	2000-2009 –> 2010-2019	7.150102	3.5984414	62634.621	73.335616	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6142	3.5519942	33008.951	36.803081	16.126634	2000-2009 –> 2010-2019	7.152111	3.6001170	62635.508	88.644975	8	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	6142	3.5519773	33012.265	7.625932	16.252500	2000-2009 –> 2010-2019	7.153658	3.6016812	62641.587	19.773944	7	15
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6142	3.5568010	33025.560	15.657184	16.137605	2000-2009 –> 2010-2019	7.167164	3.6103633	62683.289	36.397636	9	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6142	3.6265870	33262.205	8.233624	19.211119	2000-2009 –> 2010-2019	7.331725	3.7051377	63202.137	17.865057	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7249	3.3726837	38211.117	26.623047	18.685351	1982-1999 –> 2000-2009	6.683838	3.3111547	66129.885	55.308572	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7249	3.3808382	38246.128	38.760995	18.652379	1982-1999 –> 2000-2009	6.686570	3.3057319	66147.413	88.409377	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7249	3.4041305	38345.669	12.894928	18.469407	1982-1999 –> 2000-2009	6.707217	3.3030868	66238.417	27.122329	5	6
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7249	3.4141039	38388.083	11.965595	19.135999	1982-1999 –> 2000-2009	6.732912	3.3188084	66331.477	27.889134	10	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	7249	3.4152110	38390.784	10.976442	19.041726	1982-1999 –> 2000-2009	6.756613	3.3414021	66404.543	25.531555	11	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7249	3.4052521	38350.445	58.974711	20.738686	1982-1999 –> 2000-2009	6.944013	3.5387609	66978.285	122.218712	7	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7249	3.4065203	38355.844	25.084022	20.707205	1982-1999 –> 2000-2009	6.944789	3.5382684	66982.199	50.923737	8	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7249	3.4035636	38343.255	15.356796	20.764200	1982-1999 –> 2000-2009	6.946742	3.5431787	66984.402	28.122508	4	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	7249	3.4449628	38516.537	11.521513	20.457604	1982-1999 –> 2000-2009	6.990269	3.5453059	67162.086	25.726771	12	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7249	3.4072939	38359.136	25.848918	19.433645	1982-1999 –> 2000-2009	7.014335	3.6070411	67190.816	50.187288	9	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7464	3.3709931	39336.530	9.611056	17.599090	2000-2009 –> 2010-2019	6.775124	3.4041305	77682.199	22.505984	1	6
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7464	3.3779544	39367.326	12.263445	17.104388	2000-2009 –> 2010-2019	6.792058	3.4141039	77755.409	24.229040	2	12
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7464	3.4114083	39514.439	35.255953	17.986688	2000-2009 –> 2010-2019	6.792247	3.3808382	77760.567	74.016948	3	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7464	3.4294612	39593.229	18.228558	18.218025	2000-2009 –> 2010-2019	6.802145	3.3726837	77804.346	44.851604	4	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	7464	3.4449285	39658.405	10.581347	18.281218	2000-2009 –> 2010-2019	6.860139	3.4152110	78049.189	21.557789	5	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7464	3.5006960	39900.128	9.723241	18.145012	2000-2009 –> 2010-2019	6.903640	3.4029441	78240.744	20.269343	6	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7464	3.5078956	39930.798	28.411595	18.164712	2000-2009 –> 2010-2019	6.912040	3.4041449	78276.529	62.744736	8	14
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7464	3.5159158	39964.889	15.796466	18.167019	2000-2009 –> 2010-2019	6.923210	3.4072939	78324.025	41.645383	10	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7464	3.5648322	40171.149	11.163849	20.871711	2000-2009 –> 2010-2019	6.968396	3.4035636	78514.404	26.520644	12	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7464	3.5780508	40226.400	54.149646	20.897346	2000-2009 –> 2010-2019	6.983303	3.4052521	78576.846	113.124357	14	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	7026	3.2161375	36368.205	16.609552	13.301342	1982-1999 –> 2000-2009	5.956134	2.7399962	57792.273	30.929678	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7026	3.3896339	37106.509	15.685299	17.207466	1982-1999 –> 2000-2009	6.174402	2.7847684	58673.566	29.927090	6	8
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7026	3.3734568	37039.285	14.940031	15.555702	1982-1999 –> 2000-2009	6.360196	2.9867391	59224.036	28.648139	3	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7026	3.3818432	37074.175	51.609960	15.595079	1982-1999 –> 2000-2009	6.375786	2.9939423	59280.176	95.428889	4	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7026	3.3890030	37103.893	44.210265	15.680167	1982-1999 –> 2000-2009	6.385708	2.9967047	59318.031	84.119956	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	7026	3.4213408	37235.341	4.722188	16.049110	1982-1999 –> 2000-2009	6.438815	3.0174743	59508.411	10.461798	11	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7026	3.5328943	37688.199	55.260068	18.514143	1982-1999 –> 2000-2009	6.470249	2.9373550	59725.863	100.766798	16	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	7026	3.3979886	37141.101	781.633930	16.046040	1982-1999 –> 2000-2009	6.481418	3.0834289	59606.922	1437.019157	7	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7026	3.4078251	37181.720	16.454254	16.047913	1982-1999 –> 2000-2009	6.490217	3.0823922	59644.574	31.314098	8	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7026	3.4100270	37190.797	40.484451	16.040651	1982-1999 –> 2000-2009	6.493615	3.0835883	59657.073	76.027338	9	22
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	8034	3.2383230	41694.298	16.327807	14.954251	2000-2009 –> 2010-2019	6.454460	3.2161375	78062.503	32.937358	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8034	3.1350033	41173.287	12.321521	20.698082	2000-2009 –> 2010-2019	6.494940	3.3599368	78156.141	25.904642	1	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	8034	3.4221253	42581.351	11.956990	16.446268	2000-2009 –> 2010-2019	6.795582	3.3734568	79620.635	26.897021	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	8034	3.4270902	42604.646	38.701377	16.440353	2000-2009 –> 2010-2019	6.808933	3.3818432	79678.820	90.311337	5	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8034	3.4154573	42550.012	541.206525	16.848373	2000-2009 –> 2010-2019	6.813446	3.3979886	79691.113	1322.840455	3	10
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	8034	3.4487116	42705.700	38.635493	16.618183	2000-2009 –> 2010-2019	6.837715	3.3890030	79809.593	82.845758	9	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	8034	3.4409726	42669.602	13.747145	17.530351	2000-2009 –> 2010-2019	6.848798	3.4078251	79851.323	30.201399	6	14
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	8034	3.4416274	42672.660	32.675725	17.514222	2000-2009 –> 2010-2019	6.851655	3.4100270	79863.457	73.160176	7	16
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	8034	3.4609407	42762.576	51.263549	17.900278	2000-2009 –> 2010-2019	6.880763	3.4198220	79993.678	111.756437	11	21
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	8034	3.4442657	42682.973	12.157173	17.485732	2000-2009 –> 2010-2019	6.918584	3.4743185	80134.234	25.455409	8	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3017	1.8021062	12129.636	13.978560	8.809833	1982-1999 –> 2000-2009	3.467037	1.6649310	20163.263	26.575262	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3017	1.9859982	12715.933	27.114782	8.112647	1982-1999 –> 2000-2009	3.729343	1.7433443	20940.918	54.707119	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3017	1.9624601	12643.991	15.985072	9.064689	1982-1999 –> 2000-2009	3.731262	1.7688014	20929.253	30.985850	2	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3017	1.9880188	12722.069	154.895817	8.096315	1982-1999 –> 2000-2009	3.735294	1.7472753	20956.419	304.686534	4	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3017	2.0027505	12766.618	64.240772	8.277207	1982-1999 –> 2000-2009	3.762915	1.7601642	21031.527	127.217043	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3017	1.9934487	12736.528	10.428204	8.624839	1982-1999 –> 2000-2009	3.770459	1.7770103	21039.043	20.482218	5	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3017	2.1313892	13140.249	11.081343	9.131147	1982-1999 –> 2000-2009	4.022943	1.8915535	21702.498	21.446412	7	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3017	2.1329937	13146.790	791.681926	9.680236	1982-1999 –> 2000-2009	4.106473	1.9734792	21887.337	1401.930970	8	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3017	2.1587903	13219.328	21.316966	9.864113	1982-1999 –> 2000-2009	4.130581	1.9717907	21956.316	39.877456	9	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3017	2.1778884	13272.474	56.224289	10.011313	1982-1999 –> 2000-2009	4.166924	1.9890359	22045.669	103.995142	12	22
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3666	1.7125078	14361.972	13.965776	13.693310	2000-2009 –> 2010-2019	3.514614	1.8021062	26491.608	27.944336	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3666	1.9431429	15288.354	120.677645	13.468682	2000-2009 –> 2010-2019	3.931162	1.9880188	28010.423	275.573462	2	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3666	1.9469259	15302.615	21.626459	13.520427	2000-2009 –> 2010-2019	3.932924	1.9859982	28018.548	48.741241	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3666	1.9637401	15365.664	54.051604	13.715155	2000-2009 –> 2010-2019	3.966491	2.0027505	28132.282	118.292376	4	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3666	1.9793869	15421.853	9.669535	13.653508	2000-2009 –> 2010-2019	3.972836	1.9934487	28158.380	20.097739	5	10
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	3666	2.0995482	15855.965	17.672129	14.378691	2000-2009 –> 2010-2019	4.062008	1.9624601	28499.955	33.657201	10	12
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3666	1.9923888	15471.856	743.736475	14.869411	2000-2009 –> 2010-2019	4.125382	2.1329937	28618.646	1535.418401	6	14
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3666	2.0278424	15601.179	88.298752	15.466668	2000-2009 –> 2010-2019	4.197459	2.1696168	28850.692	198.274305	7	17
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3666	2.0342168	15624.190	18.820673	15.578559	2000-2009 –> 2010-2019	4.207951	2.1737339	28885.143	40.653936	8	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3666	2.0541653	15695.741	50.839071	15.840856	2000-2009 –> 2010-2019	4.249644	2.1954785	29016.754	108.578437	9	24
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4057	1.4163608	14351.676	13.119281	5.970158	1982-1999 –> 2000-2009	2.736831	1.3204702	24207.849	24.744940	1	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4057	1.4919090	14773.326	26.956337	5.826162	1982-1999 –> 2000-2009	2.796625	1.3047162	24559.885	57.090327	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4057	1.4905786	14766.087	235.191410	5.811417	1982-1999 –> 2000-2009	2.798189	1.3076108	24565.500	476.443779	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4057	1.5051439	14844.988	53.284258	5.936759	1982-1999 –> 2000-2009	2.821157	1.3160137	24681.554	111.847670	5	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4057	1.4955892	14791.316	11.030542	5.904521	1982-1999 –> 2000-2009	2.834396	1.3388071	24725.478	21.256079	4	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4057	1.6101130	15392.001	15.065762	7.241681	1982-1999 –> 2000-2009	2.969102	1.3589889	25414.942	29.633606	6	12
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4057	1.6847541	15759.689	19.595206	7.939996	1982-1999 –> 2000-2009	3.083252	1.3984984	25948.847	38.509247	11	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4057	1.7003263	15834.342	100.716218	8.024949	1982-1999 –> 2000-2009	3.114216	1.4138902	26086.986	195.692074	15	23
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4057	1.7014331	15839.622	40.377123	8.027381	1982-1999 –> 2000-2009	3.115676	1.4142425	26093.711	80.516245	16	25
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate	4057	1.7025052	15842.733	9.370595	8.017250	1982-1999 –> 2000-2009	3.116843	1.4143374	26095.211	18.491119	17	27
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4308	1.4243598	15287.247	11.156631	10.930917	2000-2009 –> 2010-2019	2.840721	1.4163608	29638.923	24.275912	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4308	1.4628400	15516.926	192.222152	10.562006	2000-2009 –> 2010-2019	2.953419	1.4905786	30283.013	427.413562	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4308	1.4656817	15533.648	22.317621	10.587510	2000-2009 –> 2010-2019	2.957591	1.4919090	30306.973	49.273958	3	6
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4308	1.4762939	15595.806	45.901482	10.650634	2000-2009 –> 2010-2019	2.981438	1.5051439	30440.795	99.185740	4	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4308	1.4980413	15719.804	7.916576	10.790662	2000-2009 –> 2010-2019	2.993631	1.4955892	30511.120	18.947118	5	9
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4308	1.6005348	16292.005	639.842950	10.205567	2000-2009 –> 2010-2019	3.266432	1.6658972	31960.364	1366.978996	6	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4308	1.6026582	16301.428	585.567562	10.161879	2000-2009 –> 2010-2019	3.283596	1.6809383	32040.719	1230.473781	7	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4308	1.6156670	16373.082	119.541787	10.397810	2000-2009 –> 2010-2019	3.296181	1.6805135	32112.322	265.535560	8	16
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + silicate + phosphate	4308	1.6934400	16778.156	12.965911	11.532498	2000-2009 –> 2010-2019	3.303553	1.6101130	32170.156	28.031673	14	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4308	1.6198031	16395.111	17.402995	10.443713	2000-2009 –> 2010-2019	3.303594	1.6837912	32150.161	35.969432	10	20
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	2.698904	1.2841806	37279.070	52.354009	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	2.712578	1.2969388	37382.888	592.516929	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	2.719145	1.2964094	37438.453	72.589877	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	2.761577	1.2730826	37799.888	38.005825	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	2.778741	1.2559861	37939.376	48.271369	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	2.800255	1.2721136	38105.458	602.940554	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	2.800739	1.2686238	38109.669	69.393989	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	2.811686	1.2969501	38184.536	34.708224	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	2.828257	1.2779675	38317.411	30.426085	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	2.862117	1.4450685	38446.171	36.150967	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	42
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	45
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	8.983619	4378.706
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	10.055684	4873.200
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.011095	3988.390
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	11.231566	4203.888
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.217667	3529.930
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.097598	3136.701
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.658913	7387.807
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	10.919222	6458.966
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	8.777370	12461.461
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	9.973912	11651.739
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.493468	23767.417
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.824508	23504.213
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.133408	38378.686
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.037674	41911.973
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.314250	14418.409
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.387996	17524.009
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.693338	30272.964
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.862371	38788.487
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.230847	45354.847
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	17.938712	45595.907
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	18.061216	66175.851
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	12.072215	33082.709
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	14.201015	36264.609
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	9.564753	27306.216
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	11.070137	32026.816
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.318494	34732.954
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.404339	42106.967
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.640727	50706.792
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.057660	62317.175
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.840730	66654.952
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.871230	78098.426
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.362654	59243.093
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.770488	79486.150
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.862323	21265.224
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.016047	28268.243
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.938629	25237.996
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.118015	31161.455
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.777400	37900.292
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
2666bd7	Donghe-Zhu	2021-08-01
e51cfa2	Donghe-Zhu	2021-08-01
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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
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]	10	10	5	8	4	5	5
(26,26.5]	6	10	7	5	5	10	6
(26.5,26.75]	6	9	6	5	7	10	6
(26.75,27]	8	9	5	3	7	9	7
(27,27.25]	7	10	6	6	4	4	10
(27.25,27.5]	9	10	4	4	5	9	6
(27.5,27.75]	9	10	3	5	5	9	6
(27.75,27.85]	9	10	5	9	3	6	5
(27.85,27.95]	8	10	7	6	6	6	7
(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	108.00	73.00	84.00	87.00	110.00	96.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	10	10	5	8	4	5	5
(26,26.5]	6	10	7	5	5	10	6
(26.5,26.75]	7	10	5	4	6	10	6
(26.75,27]	8	9	5	4	6	10	6
(27,27.25]	7	10	5	6	3	5	10
(27.25,27.5]	8	10	4	5	5	10	5
(27.5,27.75]	8	10	5	6	4	10	5
(27.75,27.85]	7	10	5	5	3	10	7
(27.85,27.95]	9	10	6	5	5	7	7
(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	105.00	110.00	79.00	77.00	78.00	115.00	92.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	6	6	6	10	5	8
(26,26.5]	9	10	4	4	4	10	5
(26.5,26.75]	8	10	5	5	5	10	4
(26.75,27]	7	10	6	6	4	10	4
(27,27.25]	4	10	8	5	5	10	5
(27.25,27.5]	5	10	8	4	6	9	6
(27.5,27.75]	7	10	7	5	7	6	7
(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	89.00	110.00	89.00	74.00	110.00	95.00	101.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	7	6	5	10	5	8
(26,26.5]	8	10	5	4	4	10	6
(26.5,26.75]	7	10	6	6	4	10	4
(26.75,27]	7	10	6	6	4	10	4
(27,27.25]	4	10	8	5	5	10	5
(27.25,27.5]	5	10	7	6	8	7	6
(27.5,27.75]	7	10	6	5	5	7	9
(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	96.00	120.00	87.00	79.00	95.00	92.00	101.00

6.4 RMSE alternatives

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

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

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
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
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