eMLR - model fitting

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Last updated: 2021-08-01

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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

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R Markdown file: up-to-date

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Seed: set.seed(20200707)

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Session information: recorded

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Repository version: 9206cad

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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	1e98138	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, aou, nitrate, 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:

• 26

4 Fit all models

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

• cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      # number of observations used for each fitting model
      i_nr_obs = nrow(GLODAP_basin_era_slab)
      
      for (i_predictors in unique(lm_all$predictors)) {
        #i_predictors <- unique(lm_all$predictors)[100]
        
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # extract number of predictors
        i_n_predictors <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(n) %>%
          pull()
        
        if (i_nr_obs > i_n_predictors) {
          # fit model
          if (params_local$MLR_type == "rlm") {
            i_lm_fit <- MASS::rlm(as.formula(i_lm),
                                  data = GLODAP_basin_era_slab)
          }
          
          if (params_local$MLR_type == "lm") {
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
          }
          
          # find max predictor correlation
          i_cor_max <- GLODAP_basin_era_slab %>%
            select(!!!syms(str_split(i_predictors, " ",
                                     simplify = TRUE))) %>%
            correlate(quiet = TRUE) %>%
            select(-term) %>%
            abs() %>%
            max(na.rm = TRUE)
          
          # calculate root mean squared error
          i_rmse <- sqrt(c(crossprod(i_lm_fit$residuals)) /
                           length(i_lm_fit$residuals))
          
          # calculate maximum residual
          i_resid_max <- max(abs(i_lm_fit$residuals))
          
          # calculate Akaike information criterion aic
          i_aic <- AIC(i_lm_fit)
          
          # calculate max VIF
          if (is.na(max(i_lm_fit$coefficients))) {
            i_vif_max <- as.double("NA")
          } else{
            i_vif_max <- max(vif(i_lm_fit))
          }
          
          # collect model coefficients and diagnostics
          coefficients <- tidy(i_lm_fit)
          
          coefficients <- coefficients %>%
            mutate(
              basin = i_basin,
              era = i_era,
              gamma_slab = i_gamma_slab,
              model = i_lm,
              nr_obs = i_nr_obs,
              rmse = i_rmse,
              aic = i_aic,
              vif_max = i_vif_max,
              resid_max = i_resid_max,
              n_predictors = i_n_predictors,
              na_predictor = anyNA(coefficients$estimate),
              cor_max = i_cor_max
            )
          
          if (exists("lm_all_fitted")) {
            lm_all_fitted <- bind_rows(lm_all_fitted, coefficients)
          }
          
          if (!exists("lm_all_fitted")) {
            lm_all_fitted <- coefficients
          }
        }
      }
    }
  }
}

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	174	3.2198609	914.72029	232.924572	11.1389467	1982-1999 –> 2000-2009	8.3565461	5.1366852	2383.06522	519.888650	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	174	3.2198748	912.72179	49.089958	11.1195461	1982-1999 –> 2000-2009	8.9704536	5.7505788	2432.80357	105.436980	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	174	3.9853183	986.94139	51.920428	12.3756035	1982-1999 –> 2000-2009	9.9788910	5.9935728	2526.72347	126.126609	3	8
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	174	4.7653862	1049.15036	191.128494	10.6003216	1982-1999 –> 2000-2009	10.5458593	5.7804731	2571.70021	298.795149	6	9
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	174	4.7878360	1048.78594	43.679726	11.8505439	1982-1999 –> 2000-2009	10.8431513	6.0553153	2591.44643	107.353789	7	13
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	174	5.0372146	1066.45555	37.569326	14.5184018	1982-1999 –> 2000-2009	10.8537063	5.8164917	2589.96220	93.425106	9	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	174	4.4136964	1022.47057	67.202241	15.9902824	1982-1999 –> 2000-2009	11.1172338	6.7035375	2615.53974	148.749517	4	13
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate	174	4.4188687	1020.87814	36.408346	16.4133472	1982-1999 –> 2000-2009	11.1426487	6.7237800	2613.38252	53.430931	5	16
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	174	4.9746894	1062.10891	67.189900	11.9126667	1982-1999 –> 2000-2009	11.6875538	6.7128644	2653.83991	109.432191	8	18
Atlantic	(-Inf,26]	2	cstar_tref ~ nitrate + phosphate	174	5.5416147	1097.66611	7.804610	14.1350600	1982-1999 –> 2000-2009	12.2724565	6.7308418	2688.67015	17.487397	10	22
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	267	4.5103839	1576.12131	196.284030	15.2194906	2000-2009 –> 2010-2019	7.7302448	3.2198609	2490.84160	429.208602	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	267	4.8494638	1612.82877	38.738337	11.6217723	2000-2009 –> 2010-2019	8.0693386	3.2198748	2525.55056	87.828295	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	267	5.1867994	1648.73956	37.225536	11.8715907	2000-2009 –> 2010-2019	9.1721176	3.9853183	2635.68094	89.145964	5	8
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	267	5.1467123	1644.59642	87.073730	13.6622866	2000-2009 –> 2010-2019	9.9120985	4.7653862	2693.74678	278.202224	3	9
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	267	5.2058460	1648.69688	35.311945	12.4584814	2000-2009 –> 2010-2019	9.9936820	4.7878360	2697.48282	78.991671	6	13
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	267	5.1477122	1642.70015	32.322239	13.8255334	2000-2009 –> 2010-2019	10.1849268	5.0372146	2709.15570	69.891565	4	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	267	5.9876460	1725.41210	52.193503	15.0429975	2000-2009 –> 2010-2019	10.4013424	4.4136964	2747.88266	119.395745	8	12
Atlantic	(-Inf,26]	3	cstar_tref ~ sal + nitrate + phosphate	267	6.1964787	1741.71912	14.220990	14.0102069	2000-2009 –> 2010-2019	10.6153474	4.4188687	2762.59727	50.629336	10	15
Atlantic	(-Inf,26]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	267	6.0273664	1726.94280	47.166125	14.0691761	2000-2009 –> 2010-2019	11.0020557	4.9746894	2789.05171	114.356025	9	17
Atlantic	(-Inf,26]	2	cstar_tref ~ nitrate + phosphate	267	6.2331232	1742.86777	3.812772	14.9312517	2000-2009 –> 2010-2019	11.7747379	5.5416147	2840.53388	11.617382	11	21
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	578	3.2924053	3029.80380	540.520891	11.9333588	1982-1999 –> 2000-2009	7.7448375	4.4524322	7072.55025	865.866140	1	2
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	578	3.5243471	3106.50061	88.973001	12.5741322	1982-1999 –> 2000-2009	8.4333043	4.9089572	7282.34070	208.355031	2	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	578	3.9151241	3230.05610	580.144560	13.1976547	1982-1999 –> 2000-2009	9.2379165	5.3227924	7519.91234	963.353085	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	578	4.1293784	3289.64762	145.160066	13.8781027	1982-1999 –> 2000-2009	9.5079132	5.3785349	7591.92231	295.017578	4	8
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	578	4.4066477	3364.77301	54.638070	15.6094136	1982-1999 –> 2000-2009	9.9467277	5.5400800	7708.00432	126.460994	6	11
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	578	4.3605230	3354.60931	491.624764	16.3715752	1982-1999 –> 2000-2009	9.9824328	5.6219098	7720.13349	749.227839	5	11
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	578	4.7497577	3451.44916	277.805479	16.3501909	1982-1999 –> 2000-2009	10.3720801	5.6223224	7815.07491	494.135606	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + phosphate	578	5.2327637	3563.40308	491.152918	15.6643407	1982-1999 –> 2000-2009	10.8753179	5.6425543	7932.00021	748.732983	9	17
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	578	5.2381074	3562.58298	89.728707	15.6100576	1982-1999 –> 2000-2009	10.9331025	5.6949952	7941.98336	164.526610	10	19
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	578	5.3479832	3588.58071	405.530406	22.7268593	1982-1999 –> 2000-2009	11.3287307	5.9807475	8037.73869	1059.997173	11	21
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	800	5.7837930	5090.39716	149.980655	51.2439628	2000-2009 –> 2010-2019	9.0761983	3.2924053	8120.20096	690.501547	1	2
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	800	5.8927812	5118.26659	81.617200	43.4041066	2000-2009 –> 2010-2019	9.4171284	3.5243471	8224.76719	170.590202	2	4
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	800	6.2668438	5218.73820	336.843041	39.2239498	2000-2009 –> 2010-2019	10.1819678	3.9151241	8448.79429	916.987602	3	6
Atlantic	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	800	6.3594802	5240.21629	98.103821	45.7591422	2000-2009 –> 2010-2019	10.4888586	4.1293784	8529.86391	243.263888	4	8
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + nitrate	800	6.3926526	5248.54053	59.118782	28.9998021	2000-2009 –> 2010-2019	10.7993003	4.4066477	8613.31354	113.756852	5	11
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	800	6.5010448	5277.44229	170.175212	39.1782104	2000-2009 –> 2010-2019	10.8615678	4.3605230	8632.05160	661.799976	6	11
Atlantic	(26,26.5]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	800	6.5017243	5275.60953	154.750199	39.6608870	2000-2009 –> 2010-2019	11.2514820	4.7497577	8727.05868	432.555678	7	14
Atlantic	(26,26.5]	3	cstar_tref ~ sal + nitrate + phosphate	800	6.5089664	5277.39072	168.697786	39.4831034	2000-2009 –> 2010-2019	11.7417300	5.2327637	8840.79380	659.850704	8	17
Atlantic	(26,26.5]	2	cstar_tref ~ nitrate + phosphate	800	6.5216205	5278.49828	54.176875	35.7515875	2000-2009 –> 2010-2019	11.7597279	5.2381074	8841.08127	143.905582	10	20
Atlantic	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	800	6.5162127	5279.17098	793.661325	20.6508849	2000-2009 –> 2010-2019	11.8641959	5.3479832	8867.75169	1199.191731	9	20
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	603	2.9469123	3026.63396	754.280683	24.8844636	1982-1999 –> 2000-2009	6.2744033	3.3274910	6802.61556	1248.563752	1	2
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	603	3.1564227	3107.46369	218.132567	34.0176951	1982-1999 –> 2000-2009	6.4956794	3.3392568	6886.51392	393.215201	4	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	603	3.0097403	3050.07557	122.990364	19.4477555	1982-1999 –> 2000-2009	6.5725250	3.5627847	6922.17026	202.530818	2	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	603	3.1529790	3108.14721	726.131014	23.3105832	1982-1999 –> 2000-2009	6.8345891	3.6816101	7029.35381	1192.981503	3	7
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	603	3.8274243	3339.92351	217.057824	12.9270518	1982-1999 –> 2000-2009	8.1086397	4.2812154	7475.80349	336.513465	6	12
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	603	3.8224501	3338.35513	19.277718	15.9408150	1982-1999 –> 2000-2009	8.1838722	4.3614221	7500.88906	30.772501	5	13
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	603	3.8410162	3344.19865	27.963821	16.5000644	1982-1999 –> 2000-2009	8.2320504	4.3910342	7516.44942	44.938679	7	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	603	4.2128894	3455.64724	344.149589	44.7707998	1982-1999 –> 2000-2009	8.2587725	4.0458830	7510.33993	632.359210	10	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	603	4.0552639	3409.65889	30.312076	17.4648633	1982-1999 –> 2000-2009	8.6530336	4.5977697	7647.97507	48.070900	8	20
Atlantic	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	603	4.3337872	3489.76869	479.815584	41.4261441	1982-1999 –> 2000-2009	8.6562567	4.3224695	7639.41982	845.650015	11	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	669	3.6269712	3634.41618	409.971260	30.6908511	2000-2009 –> 2010-2019	6.5738835	2.9469123	6661.05014	1164.251943	1	2
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	669	3.6912905	3655.93581	92.665279	23.6399929	2000-2009 –> 2010-2019	6.7010308	3.0097403	6706.01138	215.655643	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	669	3.7834918	3690.94588	441.249256	31.5295862	2000-2009 –> 2010-2019	6.9364707	3.1529790	6799.09310	1167.380270	3	6
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	669	3.8039480	3696.16059	170.680244	40.7501025	2000-2009 –> 2010-2019	6.9603707	3.1564227	6803.62428	388.812811	4	8
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	669	4.5427225	3933.63822	193.353762	19.2560927	2000-2009 –> 2010-2019	8.3701468	3.8274243	7273.56174	410.411586	9	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	669	4.6275184	3958.38352	22.250389	20.5250691	2000-2009 –> 2010-2019	8.4499685	3.8224501	7296.73865	41.528107	10	15
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	669	4.6486165	3964.46995	33.339664	20.7028138	2000-2009 –> 2010-2019	8.4896327	3.8410162	7308.66860	61.303485	11	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	669	4.3780319	3884.22960	394.929850	40.3107596	2000-2009 –> 2010-2019	8.5548353	4.1768034	7329.50222	1050.172423	5	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	669	4.4673495	3911.25183	249.186146	51.8144372	2000-2009 –> 2010-2019	8.6802389	4.2128894	7366.89907	593.335735	6	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	669	4.4830456	3915.94468	326.228486	48.4544371	2000-2009 –> 2010-2019	8.8168328	4.3337872	7405.71337	806.044071	7	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	897	2.8617125	4443.82364	709.344414	16.4734948	1982-1999 –> 2000-2009	5.7577970	2.8960845	9802.69392	1259.298700	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	897	2.8778790	4451.92981	63.665789	16.0706558	1982-1999 –> 2000-2009	5.8652813	2.9874023	9875.67008	146.104208	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	897	3.1976155	4640.93100	218.486284	17.9147531	1982-1999 –> 2000-2009	6.2623215	3.0647060	10119.70043	500.979550	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	897	3.2355193	4662.07157	107.498548	15.2578817	1982-1999 –> 2000-2009	6.7049846	3.4694654	10408.04226	247.626253	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate	897	3.2357379	4662.19278	498.124599	17.0878884	1982-1999 –> 2000-2009	6.7929042	3.5571663	10461.93539	1020.830178	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	897	3.2805997	4686.89479	595.333248	17.0171944	1982-1999 –> 2000-2009	6.9708189	3.6902193	10565.73578	1159.609820	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	897	3.4481826	4776.27379	14.282032	13.8868768	1982-1999 –> 2000-2009	7.2200496	3.7718670	10702.25339	30.487452	7	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	897	3.4543711	4779.49064	19.457902	13.8891083	1982-1999 –> 2000-2009	7.2546702	3.8002991	10721.64606	40.382174	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	897	3.4651058	4785.05696	21.138367	13.9309806	1982-1999 –> 2000-2009	7.3214926	3.8563869	10758.77048	43.379271	9	18
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate	897	3.4682042	4786.66040	891.160839	17.5252602	1982-1999 –> 2000-2009	7.3664711	3.8982669	10783.64009	1551.842705	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	988	3.1072218	5056.07109	571.672206	18.6143578	2000-2009 –> 2010-2019	5.9689344	2.8617125	9499.89473	1281.016620	1	2
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	988	3.1265342	5066.31455	62.175306	18.4464495	2000-2009 –> 2010-2019	6.0044132	2.8778790	9518.24436	125.841095	2	4
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate_star	988	3.5815416	5334.79015	228.210342	18.8482400	2000-2009 –> 2010-2019	6.7791572	3.1976155	9975.72115	446.696626	3	6
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	988	3.6313304	5362.07031	103.155195	17.7102385	2000-2009 –> 2010-2019	6.8668496	3.2355193	10024.14188	210.653743	4	8
Atlantic	(26.75,27]	3	cstar_tref ~ aou + nitrate + phosphate	988	3.6485905	5371.44023	450.152061	18.2924686	2000-2009 –> 2010-2019	6.8843284	3.2357379	10033.63301	948.276660	5	10
Atlantic	(26.75,27]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	988	3.6642002	5379.87604	516.493960	18.2365865	2000-2009 –> 2010-2019	6.9447998	3.2805997	10066.77084	1111.827208	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate_star	988	3.6763587	5386.42195	19.052035	17.1690044	2000-2009 –> 2010-2019	7.1414645	3.4651058	10171.47891	40.190402	7	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate	988	3.6796321	5388.18057	701.156484	18.0951440	2000-2009 –> 2010-2019	7.1478363	3.4682042	10174.84097	1592.317323	8	18
Atlantic	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	988	3.7119036	5405.43517	17.859397	17.1149170	2000-2009 –> 2010-2019	7.1662747	3.4543711	10184.92581	37.317299	10	18
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	988	3.7198918	5409.68305	13.722987	17.0881421	2000-2009 –> 2010-2019	7.1680744	3.4481826	10185.95684	28.005020	11	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1047	2.5964463	4981.23422	150.992547	19.2513760	1982-1999 –> 2000-2009	4.8537026	2.2572562	13094.87951	456.621144	2	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1047	2.6106318	4992.64350	537.153867	19.2178574	1982-1999 –> 2000-2009	4.8552143	2.2445824	13085.86129	1297.277996	3	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1047	2.5533838	4946.21364	323.543874	15.4475138	1982-1999 –> 2000-2009	4.8790349	2.3256511	13168.15485	846.652345	1	4
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1047	2.9303394	5232.55493	44.551267	19.7464812	1982-1999 –> 2000-2009	5.8756780	2.9453386	14309.51578	140.591254	5	9
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1047	2.8693546	5188.51577	20.345862	13.5682094	1982-1999 –> 2000-2009	5.9067442	3.0373896	14377.12716	47.365031	4	9
Atlantic	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	1047	3.0691410	5329.46414	19.989275	12.7725937	1982-1999 –> 2000-2009	6.2470960	3.1779549	14682.20420	46.818181	6	13
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	1047	3.1547170	5387.05135	18.077405	11.7409681	1982-1999 –> 2000-2009	6.3826083	3.2278913	14796.35627	43.465667	7	15
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1047	3.3194341	5493.62660	116.167835	9.8918871	1982-1999 –> 2000-2009	6.4144908	3.0950567	14750.47257	401.627019	8	14
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1047	3.4057413	5547.37602	266.487455	12.2893326	1982-1999 –> 2000-2009	6.6462198	3.2404785	14970.80083	800.520731	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1047	3.4209763	5556.72226	278.432355	12.4857091	1982-1999 –> 2000-2009	6.7398658	3.3188896	15066.88985	786.923042	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1273	3.0416693	6456.80442	402.870354	11.4383689	2000-2009 –> 2010-2019	5.5950531	2.5533838	11403.01806	726.414228	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1273	3.1273428	6527.52521	595.363929	11.6268978	2000-2009 –> 2010-2019	5.7379746	2.6106318	11520.16871	1132.517796	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1273	3.4041664	6743.46776	234.304211	15.0299162	2000-2009 –> 2010-2019	6.0006127	2.5964463	11724.70198	385.296758	3	5
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1273	3.4892905	6804.34967	38.575169	19.3388653	2000-2009 –> 2010-2019	6.0999223	2.6106318	11794.99317	67.877119	4	8
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	1273	4.1873256	7268.64797	18.870759	25.6552256	2000-2009 –> 2010-2019	7.0566802	2.8693546	12457.16374	39.216620	10	15
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	1273	3.7105356	6960.87222	331.943673	16.7105894	2000-2009 –> 2010-2019	7.1162769	3.4057413	12508.24823	598.431128	5	16
Atlantic	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1273	3.7279051	6972.76254	341.643099	17.2453678	2000-2009 –> 2010-2019	7.1488814	3.4209763	12529.48480	620.075454	6	18
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	1273	3.9248745	7103.85084	180.542729	11.1719736	2000-2009 –> 2010-2019	7.2443086	3.3194341	12597.47744	296.710564	8	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1273	4.4458269	7423.16263	896.040202	28.7495732	2000-2009 –> 2010-2019	7.3746818	2.9288549	12656.65645	1641.688875	11	17
Atlantic	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate	1273	3.8902279	7081.27637	363.401169	17.3852813	2000-2009 –> 2010-2019	7.3838792	3.4936513	12682.01751	659.430536	7	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1573	2.7313468	7637.06518	206.768425	10.4796072	1982-1999 –> 2000-2009	4.9766435	2.2452966	16457.69214	571.641277	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1573	2.7901155	7704.03774	126.629932	11.3319194	1982-1999 –> 2000-2009	5.0641752	2.2740597	16574.99527	421.133552	5	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1573	2.7509646	7659.58043	217.842317	10.8556460	1982-1999 –> 2000-2009	5.1731527	2.4221881	16780.05375	573.165861	2	6
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	1573	2.8151602	7730.15091	16.640861	11.5566166	1982-1999 –> 2000-2009	5.3211390	2.5059788	16983.09221	62.130381	7	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1573	2.7596614	7669.51040	556.624380	10.6684336	1982-1999 –> 2000-2009	5.3553650	2.5957035	17063.54626	1337.825130	3	9
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	1573	2.7607486	7668.74952	19.765318	10.6132957	1982-1999 –> 2000-2009	5.3568924	2.5961438	17061.45594	87.905158	4	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	1573	3.0813101	8014.34702	21.762289	11.1907478	1982-1999 –> 2000-2009	5.4046934	2.3233833	16968.14858	115.982318	11	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	1573	2.7952460	7707.81726	17.531710	10.5853900	1982-1999 –> 2000-2009	5.4859656	2.6907197	17242.00383	59.899559	6	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1573	2.9802746	7909.46126	12.339911	10.6474220	1982-1999 –> 2000-2009	5.7785073	2.7982327	17598.56293	54.786385	8	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1573	3.0633251	7997.93061	453.360236	13.0892820	1982-1999 –> 2000-2009	6.1413161	3.0779910	18065.80528	1370.555464	9	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1698	3.9512623	9496.93843	167.703230	54.4378109	2000-2009 –> 2010-2019	6.7022269	2.7509646	17156.51886	385.545547	1	3
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1698	4.0480474	9579.12011	162.011629	56.6517950	2000-2009 –> 2010-2019	6.7793942	2.7313468	17216.18528	368.780054	2	3
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1698	4.0535097	9583.69946	106.428886	54.0379785	2000-2009 –> 2010-2019	6.8436252	2.7901155	17287.73720	233.058817	3	8
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	1698	4.1163517	9633.94411	25.480205	43.9330740	2000-2009 –> 2010-2019	6.9315119	2.8151602	17364.09503	42.121066	5	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	1698	4.0609700	9587.94391	28.489271	55.6903495	2000-2009 –> 2010-2019	7.1422801	3.0813101	17602.29093	50.251559	4	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1698	4.5365226	9966.01326	379.761960	28.0279745	2000-2009 –> 2010-2019	7.2961841	2.7596614	17635.52366	936.386340	15	18
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	1698	4.5459708	9971.07874	24.988401	31.7927135	2000-2009 –> 2010-2019	7.3412168	2.7952460	17678.89600	42.520112	16	22
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	1698	4.5839287	9999.31689	28.073284	34.3247484	2000-2009 –> 2010-2019	7.3446773	2.7607486	17668.06641	47.838602	18	22
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1698	4.4187810	9876.70892	521.086806	26.4440206	2000-2009 –> 2010-2019	7.4821060	3.0633251	17874.63953	974.447042	6	15
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	1698	4.5562279	9978.73249	25.807787	22.3558221	2000-2009 –> 2010-2019	7.5365025	2.9802746	17888.19375	38.147697	17	25
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2071	3.1965609	10704.56023	542.148429	28.9457908	1982-1999 –> 2000-2009	5.5572776	2.3607167	22340.42529	1046.811833	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2071	3.1988791	10705.56292	238.789909	29.4812652	1982-1999 –> 2000-2009	5.5596003	2.3607212	22339.43778	511.388297	3	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2071	3.2160523	10727.73978	189.779275	29.0328047	1982-1999 –> 2000-2009	5.5787176	2.3626653	22365.81449	437.404883	5	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2071	3.1974428	10703.70281	232.600646	29.4389956	1982-1999 –> 2000-2009	5.5846050	2.3871622	22394.40436	478.465296	2	7
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	2071	3.2337486	10748.46862	30.483762	26.3535124	1982-1999 –> 2000-2009	5.6001391	2.3663905	22392.58135	60.209792	7	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2071	3.2293900	10742.88216	15.901720	26.1760192	1982-1999 –> 2000-2009	5.6685578	2.4391678	22541.54014	31.094944	6	12
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	2071	3.2013447	10706.75429	153.643396	28.5394816	1982-1999 –> 2000-2009	5.8644519	2.6631072	22953.55483	292.456548	4	11
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	2071	3.2337682	10746.49381	2.451746	26.4194047	1982-1999 –> 2000-2009	5.9343640	2.7005958	23062.61439	7.138571	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2071	3.5619127	11150.81635	295.373303	25.4934093	1982-1999 –> 2000-2009	6.4725997	2.9106870	23853.16213	574.209274	9	23
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2071	3.6780103	11283.66793	430.010682	18.8080341	1982-1999 –> 2000-2009	6.4913569	2.8133466	23812.47215	870.440482	11	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2544	4.0424532	14340.74087	438.728329	33.3018206	2000-2009 –> 2010-2019	7.2390141	3.1965609	25045.30109	980.876758	1	2
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2544	4.1858820	14516.13756	150.896534	36.6077053	2000-2009 –> 2010-2019	7.3847611	3.1988791	25221.70048	389.686442	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2544	4.2501603	14593.67497	167.721013	40.6607330	2000-2009 –> 2010-2019	7.4476032	3.1974428	25297.37778	400.321659	3	5
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	2544	4.3018596	14653.19246	114.133521	46.5174120	2000-2009 –> 2010-2019	7.5032044	3.2013447	25359.94675	267.776918	6	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2544	4.3389499	14698.87269	117.884231	32.5502504	2000-2009 –> 2010-2019	7.5550022	3.2160523	25426.61246	307.663505	8	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2544	4.3405756	14698.77867	12.379054	33.6994832	2000-2009 –> 2010-2019	7.5699656	3.2293900	25441.66084	28.280774	9	15
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	2544	4.3659876	14728.47967	16.269303	29.3659493	2000-2009 –> 2010-2019	7.5997362	3.2337486	25476.94828	46.753065	12	19
Atlantic	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	2544	4.5638307	14951.96918	2.706120	41.1229691	2000-2009 –> 2010-2019	7.7975989	3.2337682	25698.46299	5.157866	14	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2544	4.2627183	14608.68639	253.938715	24.9469433	2000-2009 –> 2010-2019	7.8246310	3.5619127	25759.50274	549.312018	4	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2544	4.3157877	14669.63916	139.101578	32.2816948	2000-2009 –> 2010-2019	7.9026744	3.5868867	25847.39541	259.582838	7	17
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1299	3.5419643	6986.04476	723.803362	25.7606878	1982-1999 –> 2000-2009	5.7631500	2.2211857	13012.49365	1636.662663	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1299	3.6166415	7038.25041	87.036521	27.2742444	1982-1999 –> 2000-2009	5.8384109	2.2217694	13063.41191	193.948030	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1299	3.6754972	7080.18879	104.157125	26.9035651	1982-1999 –> 2000-2009	5.8979758	2.2224787	13106.21589	240.628465	3	6
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate	1299	3.7766501	7148.72185	56.658100	25.2754751	1982-1999 –> 2000-2009	6.0004707	2.2238207	13174.38606	103.056285	7	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1299	3.6972495	7095.51897	264.608449	33.0521012	1982-1999 –> 2000-2009	6.0065320	2.3092825	13225.45309	648.275959	4	10
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1299	3.7149032	7105.89440	64.462090	32.3719045	1982-1999 –> 2000-2009	6.0492480	2.3343448	13263.10286	123.663743	6	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	1299	3.7061341	7099.75456	61.821954	33.2400204	1982-1999 –> 2000-2009	6.1079886	2.4018544	13334.28179	115.522312	5	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1299	3.8318765	7188.43765	90.769601	33.7094407	1982-1999 –> 2000-2009	6.1086359	2.2767594	13279.90539	206.626016	8	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1299	3.8357589	7189.06859	88.079644	32.3652601	1982-1999 –> 2000-2009	6.1452265	2.3094676	13317.22006	178.104485	9	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	1299	3.9547850	7268.46069	12.680445	38.2760470	1982-1999 –> 2000-2009	6.4400568	2.4852718	13595.57808	27.118944	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1658	3.0725007	8441.38292	967.241371	15.5502004	2000-2009 –> 2010-2019	6.6144650	3.5419643	15427.42767	1691.044733	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1658	3.1076054	8477.05494	105.030988	16.7266612	2000-2009 –> 2010-2019	6.7242469	3.6166415	15515.30536	192.067509	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1658	3.1672832	8540.13098	133.381051	17.8292753	2000-2009 –> 2010-2019	6.8427804	3.6754972	15620.31977	237.538176	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1658	3.3318800	8708.12787	239.194490	20.0356522	2000-2009 –> 2010-2019	7.0291295	3.6972495	15803.64684	503.802938	4	8
Atlantic	(27.75,27.85]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1658	3.3513779	8725.47630	79.878495	23.2148969	2000-2009 –> 2010-2019	7.0662811	3.7149032	15831.37070	144.340585	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate	1658	3.4668052	8837.76240	54.306930	20.4286090	2000-2009 –> 2010-2019	7.2434553	3.7766501	15986.48424	110.965029	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1658	3.4369121	8811.04560	103.035989	18.6022892	2000-2009 –> 2010-2019	7.2687886	3.8318765	15999.48326	193.805590	6	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	1658	3.4382314	8810.31831	100.936835	18.9353994	2000-2009 –> 2010-2019	7.2739904	3.8357589	15999.38690	189.016479	7	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate	1658	3.5791271	8943.49462	73.667356	33.2543309	2000-2009 –> 2010-2019	7.2852613	3.7061341	16043.24918	135.489310	9	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	1658	3.8704941	9203.01550	7.028627	13.2166555	2000-2009 –> 2010-2019	7.8252792	3.9547850	16471.47619	19.709072	10	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4180	4.7450887	24893.76670	410.418213	24.2431326	1982-1999 –> 2000-2009	8.5696175	3.8245289	43772.16141	1176.135657	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4180	4.7669993	24930.28057	42.426262	24.3946333	1982-1999 –> 2000-2009	8.6426329	3.8756336	43897.38882	99.940259	3	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4180	4.7670609	24930.38848	37.250089	24.8039810	1982-1999 –> 2000-2009	8.6676253	3.9005644	43941.31719	86.566637	4	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4180	4.7673081	24928.82206	27.582163	24.6151606	1982-1999 –> 2000-2009	8.7218379	3.9545297	44031.65281	67.916693	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4180	4.7465655	24894.36817	38.502777	24.3864438	1982-1999 –> 2000-2009	8.7384136	3.9918481	44063.38805	91.079879	2	7
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate	4180	4.9286016	25206.98835	19.650243	24.6814256	1982-1999 –> 2000-2009	9.1937912	4.2651896	44826.63996	46.357930	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4180	4.8774966	25119.85045	6.274333	21.3796495	1982-1999 –> 2000-2009	9.2637598	4.3862632	44930.79276	16.423953	6	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4180	5.2364099	25715.44425	289.215599	26.5522873	1982-1999 –> 2000-2009	9.3038974	4.0674875	45012.74630	853.506422	10	16
Atlantic	(27.85,27.95]	2	cstar_tref ~ sal + nitrate	4180	4.9360693	25217.64569	1.318583	23.6046784	1982-1999 –> 2000-2009	9.3339038	4.3978346	45044.59290	2.945924	8	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4180	5.3114645	25832.41928	39.470453	26.8011513	1982-1999 –> 2000-2009	9.6671468	4.3556822	45595.54811	93.546352	11	19
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4522	5.0696108	27527.68019	588.823465	53.2992636	2000-2009 –> 2010-2019	9.8146995	4.7450887	52421.44689	999.241679	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4522	5.0862853	27555.37801	63.624091	49.5528575	2000-2009 –> 2010-2019	9.8328507	4.7465655	52449.74618	102.126868	3	5
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4522	5.0831723	27549.84115	54.858140	47.8633455	2000-2009 –> 2010-2019	9.8502332	4.7670609	52480.22963	92.108229	2	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4522	5.2117416	27775.74711	63.425495	42.0535019	2000-2009 –> 2010-2019	9.9787410	4.7669993	52706.02768	105.851756	5	8
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate	4522	5.0879884	27556.40575	24.486399	52.9167635	2000-2009 –> 2010-2019	10.0165899	4.9286016	52763.39410	44.136642	4	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4522	5.3010812	27929.46543	343.827074	37.0378679	2000-2009 –> 2010-2019	10.5374912	5.2364099	53644.90968	633.042673	6	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4522	5.6653449	28528.50223	4.611193	44.2022661	2000-2009 –> 2010-2019	10.5428415	4.8774966	53648.35268	10.885526	10	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4522	5.3081621	27939.53788	62.081642	37.0743482	2000-2009 –> 2010-2019	10.6196267	5.3114645	53771.95716	101.552095	7	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4522	5.3334574	27982.53341	54.528478	36.5760313	2000-2009 –> 2010-2019	10.6597542	5.3262968	53838.26540	85.905484	8	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate	4522	5.3931484	28083.18972	47.951235	42.5721356	2000-2009 –> 2010-2019	10.7691782	5.3760299	54016.61920	77.157178	9	24
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2959	2.2058595	13091.11010	149.228537	10.5750810	1982-1999 –> 2000-2009	4.5041379	2.2982784	28176.46798	302.370737	1	2
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	2959	2.2106935	13102.06479	93.293597	11.7560519	1982-1999 –> 2000-2009	4.5212346	2.3105411	28221.05495	239.496252	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2959	2.4496252	13711.42176	79.870992	14.0103324	1982-1999 –> 2000-2009	4.9361076	2.4864824	29323.81323	172.606410	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2959	2.4832791	13792.17206	87.635351	16.2146708	1982-1999 –> 2000-2009	4.9455309	2.4622518	29338.99143	171.213339	4	7
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	2959	2.4870679	13799.19445	78.008597	17.2059951	1982-1999 –> 2000-2009	4.9739085	2.4868406	29410.55042	144.915587	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2959	2.5524826	13952.83751	74.076836	14.8885843	1982-1999 –> 2000-2009	5.0149628	2.4624802	29498.27801	156.233109	6	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	2959	2.5774480	14010.43926	68.081090	15.1169805	1982-1999 –> 2000-2009	5.0752006	2.4977526	29651.11229	156.809817	7	14
Atlantic	(27.95,28.05]	2	cstar_tref ~ nitrate + phosphate	2959	2.5774530	14008.45081	16.036768	15.1224570	1982-1999 –> 2000-2009	5.0970498	2.5195968	29705.42934	28.707166	8	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	2959	2.7230322	14335.61138	15.427890	30.8957014	1982-1999 –> 2000-2009	5.3154187	2.5923865	30225.29187	39.079854	10	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	2959	2.6679391	14214.64900	38.981339	25.7955001	1982-1999 –> 2000-2009	5.3697530	2.7018139	30381.17230	114.439859	9	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3384	2.8810968	16779.07762	920.750679	10.6648654	2000-2009 –> 2010-2019	4.9189302	2.0378334	29403.30428	1560.396652	1	2
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3384	2.9027942	16827.85612	355.286330	12.7193317	2000-2009 –> 2010-2019	5.0178249	2.1150307	29670.12675	742.719021	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3384	2.9220959	16872.70996	115.823228	9.3960488	2000-2009 –> 2010-2019	5.1279554	2.2058595	29963.82006	265.051765	3	6
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	3384	3.2754393	17643.28310	70.312441	19.5652718	2000-2009 –> 2010-2019	5.4861328	2.2106935	30745.34788	163.606038	7	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3384	3.1094679	17293.34457	76.848176	14.9843154	2000-2009 –> 2010-2019	5.5590931	2.4496252	31004.76633	156.719169	4	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3384	3.1191216	17314.32413	76.295455	15.7941062	2000-2009 –> 2010-2019	5.6024007	2.4832791	31106.49619	163.930806	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate	3384	3.1196415	17313.45198	20.214250	15.8652737	2000-2009 –> 2010-2019	5.6067094	2.4870679	31112.64643	98.222847	6	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	3384	3.5805396	18246.05138	25.575355	25.2678686	2000-2009 –> 2010-2019	6.1330222	2.5524826	32198.88889	99.652191	8	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	3384	3.8066670	18660.52716	27.796633	24.4484621	2000-2009 –> 2010-2019	6.3841151	2.5774480	32670.96642	95.877723	9	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	3384	3.8644042	18762.40919	3.546943	30.9034843	2000-2009 –> 2010-2019	6.5874364	2.7230322	33098.02057	18.974833	10	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1429	2.0143511	6068.77541	171.748133	10.2956893	1982-1999 –> 2000-2009	3.6478237	1.6334727	12737.80400	341.708415	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1429	2.1247430	6221.26048	202.779790	11.3072941	1982-1999 –> 2000-2009	3.8091755	1.6844325	12997.38075	377.200369	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1429	2.1392202	6240.66770	145.094944	11.5206317	1982-1999 –> 2000-2009	3.8569540	1.7177339	13085.03399	344.512717	3	7
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate	1429	2.1536857	6257.92867	136.088852	11.5756144	1982-1999 –> 2000-2009	3.9179859	1.7643002	13193.53919	310.009930	4	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	1429	2.1767783	6288.41001	60.496587	11.4232681	1982-1999 –> 2000-2009	3.9297103	1.7529320	13201.48598	161.702868	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1429	2.1828431	6296.36176	87.992895	11.7560620	1982-1999 –> 2000-2009	3.9434156	1.7605725	13224.59922	251.752576	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	1429	2.1953007	6312.62609	48.367857	11.8504089	1982-1999 –> 2000-2009	3.9484795	1.7531789	13226.19300	134.263817	7	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	1429	2.3802979	6543.85718	12.633734	15.7079795	1982-1999 –> 2000-2009	4.0819179	1.7016200	13353.36736	32.410527	8	11
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	1429	2.5433528	6731.22131	2.642206	21.1747868	1982-1999 –> 2000-2009	4.3054689	1.7621161	13660.51375	10.676773	10	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	1429	2.5814999	6775.76945	23.413282	18.9488736	1982-1999 –> 2000-2009	4.3442589	1.7627590	13708.33357	44.596485	11	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2006	2.0322344	8549.83457	228.381035	17.4794536	2000-2009 –> 2010-2019	4.0465855	2.0143511	14618.60998	400.129168	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2006	2.0961299	8674.03342	311.121406	20.4318901	2000-2009 –> 2010-2019	4.2208729	2.1247430	14895.29390	513.901196	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2006	2.1147149	8709.44853	249.265076	21.0433689	2000-2009 –> 2010-2019	4.2539351	2.1392202	14950.11623	394.360020	5	8
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	2006	2.0681809	8618.17919	96.678224	18.7936844	2000-2009 –> 2010-2019	4.2634816	2.1953007	14930.80528	145.046080	2	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	2006	2.0962009	8672.16928	119.572322	20.4182312	2000-2009 –> 2010-2019	4.2729792	2.1767783	14960.57930	180.068909	4	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate	2006	2.1290122	8734.48178	246.177965	21.4655435	2000-2009 –> 2010-2019	4.2826979	2.1536857	14992.41045	382.266817	8	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2006	2.1152897	8708.53874	169.637407	21.0267204	2000-2009 –> 2010-2019	4.2981328	2.1828431	15004.90049	257.630302	6	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	2006	2.1173411	8712.42769	22.177883	22.4116552	2000-2009 –> 2010-2019	4.4976389	2.3802979	15256.28487	34.811617	7	15
Atlantic	(28.05,28.1]	2	cstar_tref ~ nitrate + phosphate	2006	2.1659667	8801.52294	94.853625	22.1271473	2000-2009 –> 2010-2019	4.6472518	2.4812851	15462.13282	140.026947	10	19
Atlantic	(28.05,28.1]	2	cstar_tref ~ aou + nitrate	2006	2.1533341	8778.05521	4.518951	26.4811724	2000-2009 –> 2010-2019	4.6966869	2.5433528	15509.27652	7.161157	9	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1215	1.3594051	4206.14536	249.613788	5.9721066	1982-1999 –> 2000-2009	2.5544105	1.1950054	8910.39349	371.974593	2	3
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1215	1.3536556	4195.84602	256.250713	5.3420053	1982-1999 –> 2000-2009	2.5627716	1.2091160	8934.58273	513.185270	1	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1215	1.3719118	4228.39937	564.988946	6.0308767	1982-1999 –> 2000-2009	2.5672593	1.1953475	8933.48839	854.262077	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	1215	1.3769553	4235.31637	9.829138	5.5050808	1982-1999 –> 2000-2009	2.5751619	1.1982066	8945.42434	28.041492	4	7
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	1215	1.3987517	4273.48055	32.879505	6.9515986	1982-1999 –> 2000-2009	2.6530722	1.2543205	9118.05511	74.299188	5	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	1215	1.4615562	4380.20999	29.425380	5.4717234	1982-1999 –> 2000-2009	2.6634431	1.2018869	9099.32816	78.998839	6	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate	1215	1.4624114	4381.63136	50.858810	5.0069664	1982-1999 –> 2000-2009	2.6654130	1.2030016	9103.47314	134.937847	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1215	1.4739777	4400.77483	82.890842	5.0704647	1982-1999 –> 2000-2009	2.7152597	1.2412819	9214.64925	270.255618	8	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1215	1.5508968	4526.38560	977.550941	9.9012301	1982-1999 –> 2000-2009	2.8951220	1.3442253	9576.33986	1796.171463	9	19
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1215	1.5516706	4525.59775	22.084629	9.9844331	1982-1999 –> 2000-2009	2.8973676	1.3456970	9576.76692	53.342174	10	21
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2366	1.3795978	8249.13696	538.416034	10.5136068	2000-2009 –> 2010-2019	2.7515096	1.3719118	12477.53633	1103.404980	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2366	1.4023544	8326.55490	388.930559	10.6618720	2000-2009 –> 2010-2019	2.7560100	1.3536556	12522.40093	645.181271	4	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2366	1.4318589	8425.07975	261.864396	7.3964582	2000-2009 –> 2010-2019	2.7912640	1.3594051	12631.22510	511.478185	6	8
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + nitrate + phosphate_star	2366	1.4358908	8436.38565	49.510079	6.0301510	2000-2009 –> 2010-2019	2.8346425	1.3987517	12709.86620	82.389584	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + nitrate	2366	1.5160794	8693.53317	25.017868	3.7821522	2000-2009 –> 2010-2019	2.8930347	1.3769553	12928.84953	34.847006	9	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2366	1.3790301	8247.18947	737.676935	10.0613535	2000-2009 –> 2010-2019	2.9299269	1.5508968	12773.57507	1715.227876	1	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	2366	1.3798272	8247.92363	45.983158	10.1019185	2000-2009 –> 2010-2019	2.9314978	1.5516706	12773.52138	68.067787	3	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + phosphate + phosphate_star	2366	1.4023781	8324.63486	47.065703	10.5278894	2000-2009 –> 2010-2019	2.9904019	1.5880239	12906.50715	74.886563	5	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	2366	1.6156583	8994.55847	83.085786	6.8325364	2000-2009 –> 2010-2019	3.0772145	1.4615562	13374.76846	112.511166	11	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate_star	2366	1.4572833	8506.36511	36.261951	11.3241486	2000-2009 –> 2010-2019	3.1135494	1.6562660	13190.48038	54.758013	8	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	699	0.5083939	1049.93092	263.605769	3.1875636	1982-1999 –> 2000-2009	0.8636523	0.3552584	1632.59739	307.714111	1	2
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	699	0.5110933	1055.33412	64.052242	3.1949084	1982-1999 –> 2000-2009	0.9396643	0.4285710	1914.79051	89.926303	2	7
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	699	0.6140996	1312.01386	40.346708	2.9704759	1982-1999 –> 2000-2009	0.9763338	0.3622342	1921.57649	50.162759	5	7
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	699	0.7131663	1521.09530	190.315051	4.2360285	1982-1999 –> 2000-2009	1.0804478	0.3672815	2151.22063	218.509313	7	10
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	699	0.7207652	1533.91240	3.447664	4.3662781	1982-1999 –> 2000-2009	1.0882816	0.3675164	2162.98769	5.588260	8	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	699	0.6003461	1282.34810	571.770829	4.1956484	1982-1999 –> 2000-2009	1.1487015	0.5483553	2510.05477	678.498390	3	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	699	0.6284751	1344.36261	47.628849	4.4260946	1982-1999 –> 2000-2009	1.1777383	0.5492632	2572.52752	61.436450	6	15
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + phosphate_star	699	0.7532822	1595.60119	3.249546	4.8936817	1982-1999 –> 2000-2009	1.2033083	0.4500261	2525.64750	5.288702	9	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	699	0.6131619	1309.87761	63.663499	3.9909585	1982-1999 –> 2000-2009	1.2197625	0.6066006	2685.59151	90.073497	4	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	699	0.7845124	1654.39135	386.602800	4.3267361	1982-1999 –> 2000-2009	1.3585288	0.5740164	2948.05952	471.768051	11	21
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1084	0.5309531	1715.73803	54.784856	2.0064245	2000-2009 –> 2010-2019	1.0393471	0.5083939	2765.66895	318.390625	1	2
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	1084	0.5315272	1716.08069	26.876972	1.9041131	2000-2009 –> 2010-2019	1.0426205	0.5110933	2771.41481	90.929214	2	4
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + nitrate	1084	0.5728606	1878.43799	11.184319	2.5461708	2000-2009 –> 2010-2019	1.1869602	0.6140996	3190.45185	51.531027	3	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1084	0.6250568	2069.48805	116.596887	2.5176435	2000-2009 –> 2010-2019	1.2254030	0.6003461	3351.83614	688.367716	4	7
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	1084	0.6313932	2089.35512	27.735247	2.7126481	2000-2009 –> 2010-2019	1.2445552	0.6131619	3399.23272	91.398746	6	10
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1084	0.6336115	2096.95839	13.373918	2.3354283	2000-2009 –> 2010-2019	1.2620866	0.6284751	3441.32100	61.002767	7	13
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + phosphate_star	1084	0.6432079	2129.54797	40.319074	2.4355850	2000-2009 –> 2010-2019	1.3563742	0.7131663	3650.64328	230.634125	8	15
Atlantic	(28.15,28.2]	2	cstar_tref ~ aou + nitrate	1084	0.6609337	2186.48622	2.432415	2.5912821	2000-2009 –> 2010-2019	1.3816989	0.7207652	3720.39862	5.880079	10	18
Atlantic	(28.15,28.2]	2	cstar_tref ~ nitrate + phosphate_star	1084	0.6536531	2162.47167	2.208425	2.8280302	2000-2009 –> 2010-2019	1.4069353	0.7532822	3758.07286	5.457971	9	18
Atlantic	(28.15,28.2]	2	cstar_tref ~ sal + nitrate	1084	0.6255728	2067.27685	1.181054	3.1435121	2000-2009 –> 2010-2019	1.4711447	0.8455719	3824.44952	2.715791	5	17
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	935	0.4630062	1227.48749	571.045869	2.3313729	1982-1999 –> 2000-2009	0.7736864	0.3106801	1625.40632	1245.969687	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	935	0.5260741	1464.28924	549.764978	4.2786452	1982-1999 –> 2000-2009	0.8369254	0.3108513	1861.05399	1224.661293	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	935	0.7342583	2087.78255	395.205571	4.0509580	1982-1999 –> 2000-2009	1.0723716	0.3381133	2613.67311	581.335092	3	6
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	935	0.7452702	2113.61932	335.670802	3.8383114	1982-1999 –> 2000-2009	1.0834938	0.3382235	2638.01081	482.307431	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	935	0.8337061	2325.31009	209.426688	4.9168143	1982-1999 –> 2000-2009	1.1820395	0.3483334	2896.94148	368.253474	5	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	935	0.8629006	2387.67266	130.045680	5.1468678	1982-1999 –> 2000-2009	1.2114657	0.3485652	2958.32561	258.540537	6	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	935	0.9208208	2509.15911	175.840500	6.6586353	1982-1999 –> 2000-2009	1.2693381	0.3485173	3079.60110	264.067988	8	14
Atlantic	(28.2, Inf]	2	cstar_tref ~ aou + phosphate_star	935	0.9236330	2512.86141	2.608718	6.2526989	1982-1999 –> 2000-2009	1.2723987	0.3487657	3082.39775	7.470235	9	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	935	0.9194370	2508.34676	355.785326	4.0942847	1982-1999 –> 2000-2009	1.5831033	0.6636663	4070.11340	934.919510	7	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	935	0.9556254	2578.53710	155.813514	4.8765935	1982-1999 –> 2000-2009	1.6228128	0.6671874	4146.43162	298.566544	10	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1295	0.2257250	-168.00326	875.932567	2.5307332	2000-2009 –> 2010-2019	0.7517991	0.5260741	1296.28598	1425.697545	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1295	0.2331397	-84.29293	69.639359	2.3666583	2000-2009 –> 2010-2019	0.9673981	0.7342583	2003.48962	464.844930	2	4
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + phosphate + phosphate_star	1295	0.2383573	-28.96872	69.302511	2.4310551	2000-2009 –> 2010-2019	0.9836275	0.7452702	2084.65060	404.973313	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1295	0.2445584	39.55053	30.882708	2.1017553	2000-2009 –> 2010-2019	1.0782645	0.8337061	2364.86062	240.309396	4	8
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	1295	0.2813694	400.70567	25.887824	2.7627071	2000-2009 –> 2010-2019	1.1442699	0.8629006	2788.37832	155.933503	7	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate_star	1295	0.2551089	146.94306	19.387843	2.1062985	2000-2009 –> 2010-2019	1.1759297	0.9208208	2656.10218	195.228343	5	12
Atlantic	(28.2, Inf]	2	cstar_tref ~ aou + phosphate_star	1295	0.2878428	457.61783	1.365748	2.6751938	2000-2009 –> 2010-2019	1.2114758	0.9236330	2970.47923	3.974466	8	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1295	0.3175822	716.27234	237.476147	3.7481738	2000-2009 –> 2010-2019	1.2370192	0.9194370	3224.61910	593.261473	10	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1295	0.2673600	270.42845	187.295448	3.1802776	2000-2009 –> 2010-2019	1.5472916	1.2799316	3397.37188	611.473346	6	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + phosphate	1295	0.3140620	685.40382	91.751112	3.5079862	2000-2009 –> 2010-2019	1.6379919	1.3239299	3873.54925	383.801842	9	22
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3586	7.9551950	25064.10133	120.282100	114.8026614	1982-1999 –> 2000-2009	16.8396936	8.8844985	41011.65760	339.675079	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3586	10.9964837	27384.03910	102.891207	119.5064688	1982-1999 –> 2000-2009	21.2177237	10.2212400	43949.38238	256.319571	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3586	11.4640058	27682.65703	114.544159	40.8970733	1982-1999 –> 2000-2009	22.7500530	11.2860472	44686.21737	329.638320	4	7
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3586	11.3397306	27604.48470	59.280670	166.2240688	1982-1999 –> 2000-2009	24.8398800	13.5001494	45400.17361	127.990518	3	9
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	3586	12.3476387	28213.19703	58.997502	156.7148696	1982-1999 –> 2000-2009	25.8620978	13.5144591	46011.57064	127.527909	5	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	3586	13.8458145	29034.52113	97.556526	46.2019513	1982-1999 –> 2000-2009	26.3128810	12.4670665	46476.17345	247.763917	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3586	14.2272927	29231.45004	55.714388	83.1017199	1982-1999 –> 2000-2009	27.3134932	13.0862005	46889.42694	126.972728	7	12
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	3586	14.2297641	29230.69577	51.225222	83.8847500	1982-1999 –> 2000-2009	27.8037758	13.5740117	47048.51249	118.918492	8	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	3586	14.2728548	29252.38124	25.549080	68.6927758	1982-1999 –> 2000-2009	27.9516191	13.6787643	47104.19217	66.527995	9	18
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	3586	14.2730283	29250.46846	14.958114	69.0590424	1982-1999 –> 2000-2009	28.2326429	13.9596146	47190.15171	39.078011	10	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5162	8.8976098	37229.14174	154.132548	88.5946386	2000-2009 –> 2010-2019	16.8528048	7.9551950	62293.24307	274.414648	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5162	10.8513735	39276.54850	122.721911	105.6250748	2000-2009 –> 2010-2019	21.8478572	10.9964837	66660.58759	225.613119	3	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5162	10.7468265	39176.60022	136.964845	49.1642744	2000-2009 –> 2010-2019	22.2108323	11.4640058	66859.25725	251.509005	2	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5162	12.4538828	40698.58442	63.709187	164.7880670	2000-2009 –> 2010-2019	23.7936134	11.3397306	68303.06913	122.989857	4	7
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	5162	12.7128448	40909.05682	63.343799	161.3388830	2000-2009 –> 2010-2019	25.0604835	12.3476387	69122.25385	122.341300	6	11
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + phosphate + phosphate_star	5162	12.6968839	40896.08698	109.253537	47.5823711	2000-2009 –> 2010-2019	26.5426984	13.8458145	69930.60811	206.810062	5	11
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5162	14.4491866	42232.78938	68.154139	70.7510924	2000-2009 –> 2010-2019	28.6764793	14.2272927	71464.23942	123.868527	7	14
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + aou + nitrate	5162	14.4526682	42233.27672	26.171128	75.4807190	2000-2009 –> 2010-2019	28.7255230	14.2728548	71485.65796	51.720208	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate	5162	14.5103981	42274.43288	68.011391	73.1521952	2000-2009 –> 2010-2019	28.7401622	14.2297641	71505.12865	119.236613	9	17
Indo-Pacific	(-Inf,26]	2	cstar_tref ~ aou + nitrate	5162	14.5126659	42274.04628	17.932987	71.2294336	2000-2009 –> 2010-2019	28.7856943	14.2730283	71524.51474	32.891101	10	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2950	10.2716179	22127.10620	579.775116	46.6966236	1982-1999 –> 2000-2009	18.6749596	8.4033417	39061.00544	1039.265130	1	2
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	2950	11.6324542	22859.15125	545.375877	53.2905390	1982-1999 –> 2000-2009	21.1526081	9.5201539	40386.25861	989.416571	2	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2950	11.9191601	23004.80582	86.336870	57.6737424	1982-1999 –> 2000-2009	21.3834688	9.4643087	40505.84997	157.932331	3	5
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	2950	11.9773275	23031.52873	49.336969	55.9636187	1982-1999 –> 2000-2009	22.1082810	10.1309535	40855.25577	91.599536	4	9
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	2950	12.3685225	23221.15029	82.566415	57.7215849	1982-1999 –> 2000-2009	22.4960809	10.1275584	41043.27857	149.532059	5	9
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	2950	12.3688396	23219.30156	28.062586	57.8611068	1982-1999 –> 2000-2009	22.8557135	10.4868739	41205.73162	59.970149	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2950	12.8848749	23464.45674	23.560603	47.9875419	1982-1999 –> 2000-2009	23.6031745	10.7182996	41559.00707	42.089782	7	14
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	2950	12.8881636	23463.96244	22.692661	47.0245000	1982-1999 –> 2000-2009	24.5327110	11.6445475	41951.87670	41.015098	8	19
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate_star	2950	13.3950823	23691.57445	12.635556	50.0997272	1982-1999 –> 2000-2009	24.6738821	11.2787998	42027.26274	20.116011	12	20
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2950	13.3653016	23680.44263	30.951535	44.8079842	1982-1999 –> 2000-2009	24.7152690	11.3499674	42048.13437	59.634259	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3020	9.2891525	22046.62659	583.239097	39.2029973	2000-2009 –> 2010-2019	17.5817043	8.2925517	42912.97454	1559.707441	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3020	11.1343242	23138.98570	568.479913	55.1799868	2000-2009 –> 2010-2019	20.9137422	9.7794180	44976.37487	1520.244418	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3020	11.4043982	23283.74325	347.150650	53.4375327	2000-2009 –> 2010-2019	21.6760162	10.2716179	45410.84945	926.925766	3	6
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	3020	13.0619414	24101.39346	328.067027	61.9725814	2000-2009 –> 2010-2019	24.6943956	11.6324542	46960.54471	873.442904	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3020	13.4145525	24264.28312	49.037817	73.6853887	2000-2009 –> 2010-2019	25.3337127	11.9191601	47269.08894	135.374687	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate	3020	13.5024145	24301.71459	28.249658	71.6655402	2000-2009 –> 2010-2019	25.4797420	11.9773275	47333.24331	77.586627	6	12
Indo-Pacific	(26,26.5]	3	cstar_tref ~ sal + aou + phosphate	3020	13.9914644	24516.61139	44.991043	72.9486954	2000-2009 –> 2010-2019	26.3599869	12.3685225	47737.76168	127.557458	7	14
Indo-Pacific	(26,26.5]	2	cstar_tref ~ aou + phosphate	3020	13.9919224	24514.80910	16.266412	72.7974052	2000-2009 –> 2010-2019	26.3607620	12.3688396	47734.11066	44.328999	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3020	14.6256262	24786.35101	20.370785	66.7315482	2000-2009 –> 2010-2019	27.5105011	12.8848749	48250.80775	43.931388	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + phosphate_star	3020	14.6443673	24792.08565	19.727777	64.2706786	2000-2009 –> 2010-2019	27.5325309	12.8881636	48256.04809	42.420438	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2722	8.7290479	19531.97831	144.424768	33.9323491	1982-1999 –> 2000-2009	17.0780485	8.3490005	34543.99474	278.334609	4	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2722	8.7271239	19530.77824	20.988169	35.9814933	1982-1999 –> 2000-2009	17.1961193	8.4689954	34603.24266	36.619305	2	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2722	8.7156911	19523.64172	30.026818	36.4245279	1982-1999 –> 2000-2009	17.2240217	8.5083306	34615.73517	54.041152	1	6
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2722	8.7288058	19529.82731	19.166394	35.7525870	1982-1999 –> 2000-2009	17.4510510	8.7222452	34725.10454	29.437060	3	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	2722	9.2561072	19849.14513	19.767050	34.4981268	1982-1999 –> 2000-2009	17.7504773	8.4943701	34932.28241	31.864534	14	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + phosphate	2722	9.4229091	19946.37655	60.935993	35.4967677	1982-1999 –> 2000-2009	17.7735847	8.3506756	34957.24279	100.496045	16	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	2722	9.2436477	19841.81215	18.685219	34.3550043	1982-1999 –> 2000-2009	17.7826619	8.5390141	34947.15437	31.279025	13	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	2722	8.7338360	19532.96363	19.293730	34.7213597	1982-1999 –> 2000-2009	17.7951359	9.0613000	34889.78460	30.530642	5	23
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2722	8.7353690	19533.91910	19.107676	34.8418522	1982-1999 –> 2000-2009	17.7961562	9.0607872	34890.50038	31.374782	6	23
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	2722	8.7355913	19532.05763	1.713873	34.8124362	1982-1999 –> 2000-2009	17.8121956	9.0766043	34894.02708	2.771364	7	26
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	2476	11.3122017	19051.55096	18.812808	35.4374742	2000-2009 –> 2010-2019	20.0278927	8.7156911	38575.19268	48.839626	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2476	11.3135328	19052.13364	13.275005	35.3271987	2000-2009 –> 2010-2019	20.0406567	8.7271239	38582.91187	34.263174	2	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	2476	11.3137544	19052.23065	115.779068	34.8973376	2000-2009 –> 2010-2019	20.0428024	8.7290479	38584.20896	260.203835	3	7
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	2476	11.3144299	19050.52628	9.163910	35.1461582	2000-2009 –> 2010-2019	20.0432357	8.7288058	38580.35359	28.330303	6	9
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + nitrate + phosphate	2476	11.3138777	19050.28462	9.198901	35.0060925	2000-2009 –> 2010-2019	20.0477137	8.7338360	38583.24825	28.492631	4	9
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + nitrate	2476	11.3140852	19050.37544	10.694037	35.0780891	2000-2009 –> 2010-2019	20.0494542	8.7353690	38584.29453	29.801713	5	11
Indo-Pacific	(26.5,26.75]	2	cstar_tref ~ sal + nitrate	2476	11.3145343	19048.57200	1.055756	35.0565701	2000-2009 –> 2010-2019	20.0501256	8.7355913	38580.62963	2.769629	7	14
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + phosphate + phosphate_star	2476	11.5967944	19172.59223	17.521780	36.2393780	2000-2009 –> 2010-2019	20.5496577	8.9528632	38840.39676	47.224951	11	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate	2476	11.5881484	19168.89888	102.385919	36.2669776	2000-2009 –> 2010-2019	20.5747554	8.9866070	38857.18353	241.897698	8	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + aou + phosphate_star	2476	11.5889780	19169.25338	12.004454	36.1826326	2000-2009 –> 2010-2019	20.6051946	9.0162166	38875.44576	32.008429	9	20
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3372	6.3411137	22037.85642	16.023672	23.9173989	1982-1999 –> 2000-2009	11.8698505	5.5287368	38970.93629	29.694433	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3372	6.3618150	22059.83718	62.436654	23.4291938	1982-1999 –> 2000-2009	11.8906582	5.5288432	38993.02107	132.681895	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3372	6.3608530	22058.81726	16.203014	23.6738027	1982-1999 –> 2000-2009	11.8909855	5.5301325	38993.26212	27.216364	2	6
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + nitrate + phosphate	3372	6.4101853	22108.91930	14.842220	22.5807495	1982-1999 –> 2000-2009	11.9394701	5.5292849	39040.53521	22.691283	5	8
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3372	6.3619726	22058.00420	13.970076	23.4853796	1982-1999 –> 2000-2009	11.9487799	5.5868073	39045.59013	23.754452	4	9
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3372	6.4845637	22186.72050	6.096719	23.1050790	1982-1999 –> 2000-2009	12.0897456	5.6051820	39192.06382	14.040971	8	15
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3372	6.4812005	22183.22186	56.991381	23.1422075	1982-1999 –> 2000-2009	12.0997570	5.6185565	39201.45387	112.721152	7	15
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	3372	6.4781001	22179.99496	7.850066	23.4899804	1982-1999 –> 2000-2009	12.1065983	5.6284982	39207.78766	18.929008	6	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3372	6.5593659	22266.07017	352.167645	21.2321469	1982-1999 –> 2000-2009	12.1492792	5.5899133	39258.66185	771.057453	10	16
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	3372	6.4954236	22196.00545	1.068686	23.6757092	1982-1999 –> 2000-2009	12.1568684	5.6614449	39253.36180	2.082140	9	21
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3589	7.2090173	24376.07849	38.837249	24.8048005	2000-2009 –> 2010-2019	13.5708323	6.3618150	46435.91567	101.273902	1	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3589	7.2314239	24391.55932	8.799950	24.3874662	2000-2009 –> 2010-2019	13.5922768	6.3608530	46450.37658	25.002964	2	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3589	7.2615093	24421.35228	9.315573	24.5385903	2000-2009 –> 2010-2019	13.6026230	6.3411137	46459.20870	25.339244	3	4
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	3589	7.4433983	24603.73761	8.169653	21.8773291	2000-2009 –> 2010-2019	13.8053709	6.3619726	46661.74181	22.139729	7	11
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate	3589	7.3477435	24510.89560	36.035666	27.7386381	2000-2009 –> 2010-2019	13.8289440	6.4812005	46694.11746	93.027047	4	11
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + aou + phosphate_star	3589	7.3984798	24553.44910	4.607464	27.2155210	2000-2009 –> 2010-2019	13.8830435	6.4845637	46740.16960	10.704183	5	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ sal + phosphate + phosphate_star	3589	7.5007858	24651.99879	5.910946	27.2769068	2000-2009 –> 2010-2019	13.9788859	6.4781001	46831.99375	13.761012	9	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3589	7.4246216	24580.76003	235.816878	23.6740511	2000-2009 –> 2010-2019	13.9839875	6.5593659	46846.83020	587.984523	6	16
Indo-Pacific	(26.75,27]	2	cstar_tref ~ sal + aou	3589	7.5291309	24683.94084	1.006870	23.4974232	2000-2009 –> 2010-2019	14.0245544	6.4954236	46879.94630	2.075556	10	19
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3589	7.4503030	24603.53868	213.056171	25.0866833	2000-2009 –> 2010-2019	14.0850345	6.6347315	46944.65404	549.734854	8	22
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4489	4.5619938	26377.67731	52.891332	15.8251920	1982-1999 –> 2000-2009	8.1174947	3.5555010	45577.95965	104.198823	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4489	4.5806023	26414.22435	16.965529	15.2825509	1982-1999 –> 2000-2009	8.1367420	3.5561397	45615.78927	24.298798	3	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4489	4.5727953	26398.90952	756.655331	16.8562561	1982-1999 –> 2000-2009	8.1384138	3.5656185	45619.48066	1431.566687	2	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4489	4.5872194	26427.18457	20.218320	15.1662365	1982-1999 –> 2000-2009	8.1454694	3.5582500	45632.98533	28.521726	4	7
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	4489	4.6757359	26596.77678	35.840649	16.5267830	1982-1999 –> 2000-2009	8.2551029	3.5793669	45842.82560	50.881054	6	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4489	4.6377960	26523.63024	2.462800	15.3381924	1982-1999 –> 2000-2009	8.2624326	3.6246366	45859.41519	6.832012	5	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4489	4.7537809	26745.39592	15.163039	16.4583099	1982-1999 –> 2000-2009	8.4083608	3.6545799	46139.92252	20.923785	10	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4489	4.6928998	26629.67320	2.518347	15.1680196	1982-1999 –> 2000-2009	8.4295046	3.7366048	46182.68096	7.127796	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	4489	4.7069442	26656.50141	2.389620	15.4906804	1982-1999 –> 2000-2009	8.4766917	3.7697475	46272.55982	7.143702	8	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4489	4.8016078	26835.27057	19.772562	16.4965318	1982-1999 –> 2000-2009	8.4848482	3.6832404	46285.57304	26.854262	13	21
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4503	5.0131821	27309.27064	38.013887	16.7472342	2000-2009 –> 2010-2019	9.5751759	4.5619938	53686.94794	90.905219	1	2
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4503	5.0150018	27312.53908	526.940258	16.5823219	2000-2009 –> 2010-2019	9.5877971	4.5727953	53711.44860	1283.595589	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4503	5.0164943	27315.21885	9.699342	16.5313343	2000-2009 –> 2010-2019	9.5970966	4.5806023	53729.44320	26.664871	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4503	5.0212008	27323.66447	11.736111	16.3679991	2000-2009 –> 2010-2019	9.6084203	4.5872194	53750.84904	31.954432	6	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate	4503	5.0172706	27314.61238	21.786928	16.6238960	2000-2009 –> 2010-2019	9.6930065	4.6757359	53911.38916	57.627578	5	11
Indo-Pacific	(27,27.25]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	4503	5.0165413	27313.30323	8.724900	16.5490050	2000-2009 –> 2010-2019	9.7703221	4.7537809	54058.69915	23.887939	4	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + nitrate + phosphate_star	4503	5.1581798	27564.05776	2.680624	16.7319916	2000-2009 –> 2010-2019	9.7959758	4.6377960	54087.68800	5.143424	12	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + phosphate_star	4503	5.0244650	27327.51722	11.428806	16.5194024	2000-2009 –> 2010-2019	9.8260728	4.8016078	54162.78779	31.201368	7	20
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate_star	4503	5.1355588	27524.47552	2.722137	16.5319994	2000-2009 –> 2010-2019	9.8284586	4.6928998	54154.14872	5.240484	10	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ sal + phosphate + phosphate_star	4503	5.1727414	27589.44598	2.619061	16.9442713	2000-2009 –> 2010-2019	9.8796855	4.7069442	54245.94739	5.008680	14	22
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5910	3.5280360	31685.81617	63.868286	15.0054697	1982-1999 –> 2000-2009	6.6577990	3.1297630	53999.62848	112.002569	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5910	3.5763009	31844.42210	52.237074	14.8996358	1982-1999 –> 2000-2009	6.7702296	3.1939287	54333.03977	80.313047	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5910	3.6154975	31975.26581	17.510687	15.4065398	1982-1999 –> 2000-2009	6.8155347	3.2000372	54482.52939	22.586965	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5910	3.6178028	31982.79984	26.099973	15.5208641	1982-1999 –> 2000-2009	6.8191283	3.2013255	54493.57014	32.367146	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	5910	3.6178217	31980.86186	2.165703	15.5313867	1982-1999 –> 2000-2009	6.8198496	3.2020278	54491.54328	5.582864	5	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	5910	3.6209078	31990.94016	2.066353	15.3055582	1982-1999 –> 2000-2009	6.8254269	3.2045191	54508.39722	5.159610	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5910	3.6283393	32015.17461	2.392939	15.3827271	1982-1999 –> 2000-2009	6.8352736	3.2069343	54539.19523	5.696875	7	14
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5910	3.8063170	32579.19910	1.755693	17.3359998	1982-1999 –> 2000-2009	7.0577825	3.2514655	55221.36142	4.835961	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	5910	3.9798959	33108.29538	678.501668	11.3815958	1982-1999 –> 2000-2009	7.3461197	3.3662238	56054.64010	974.462899	10	19
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	5910	4.0201408	33227.21956	16.731954	17.8586114	1982-1999 –> 2000-2009	7.8041949	3.7840541	57192.90640	20.550608	11	28
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5781	3.4771390	30826.44549	45.893893	13.5791405	2000-2009 –> 2010-2019	7.0051751	3.5280360	62512.26166	109.762179	1	2
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate	5781	3.4772047	30824.66393	33.447043	13.5361271	2000-2009 –> 2010-2019	7.0535056	3.5763009	62669.08603	85.684117	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5781	3.4862007	30856.53775	9.120154	13.8199483	2000-2009 –> 2010-2019	7.1016982	3.6154975	62831.80356	26.630841	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5781	3.4896096	30867.83784	12.727456	13.8650841	2000-2009 –> 2010-2019	7.1074124	3.6178028	62850.63769	38.827430	4	8
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + phosphate + phosphate_star	5781	3.4972290	30891.05549	2.033268	13.3279143	2000-2009 –> 2010-2019	7.1181368	3.6209078	62881.99566	4.099620	5	11
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + aou + phosphate_star	5781	3.5018135	30906.20189	2.401365	13.3537346	2000-2009 –> 2010-2019	7.1301528	3.6283393	62921.37650	4.794304	6	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate_star	5781	3.5334881	31010.31243	2.215532	13.4947367	2000-2009 –> 2010-2019	7.1513098	3.6178217	62991.17430	4.381235	7	12
Indo-Pacific	(27.25,27.5]	2	cstar_tref ~ sal + phosphate_star	5781	3.6014967	31228.73050	1.778098	15.8454207	2000-2009 –> 2010-2019	7.4078138	3.8063170	63807.92960	3.533791	8	16
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ aou + phosphate + phosphate_star	5781	3.6551657	31401.75466	383.011219	15.5187904	2000-2009 –> 2010-2019	7.6350616	3.9798959	64510.05004	1061.512887	10	20
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	5781	3.6334080	31332.72497	8.105732	15.3040488	2000-2009 –> 2010-2019	7.6535488	4.0201408	64559.94453	24.837685	9	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6531	1.9407228	27209.07087	969.305799	12.3607003	1982-1999 –> 2000-2009	4.0759696	2.1352468	48149.04565	1612.062737	1	2
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	6531	1.9658050	27374.80502	434.555309	12.2226218	1982-1999 –> 2000-2009	4.1179766	2.1521716	48388.65171	744.548505	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6531	2.1007442	28241.98859	950.859730	10.8221427	1982-1999 –> 2000-2009	4.2365777	2.1358335	49182.60334	1494.341314	3	5
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	6531	2.1161074	28335.16664	398.397558	10.7454991	1982-1999 –> 2000-2009	4.2686057	2.1524983	49348.47223	625.200935	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6531	2.7393601	31709.07077	48.327804	12.6080115	1982-1999 –> 2000-2009	5.6060629	2.8667028	55477.96182	65.935118	5	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6531	2.8416825	32188.07977	144.278177	11.2305453	1982-1999 –> 2000-2009	5.6735076	2.8318251	55839.33395	230.786608	6	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	6531	2.8420767	32187.89165	43.493326	11.4180860	1982-1999 –> 2000-2009	5.7172047	2.8751280	55982.98501	57.316063	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	6531	2.9450206	32652.64778	44.921493	14.3930307	1982-1999 –> 2000-2009	5.9115443	2.9665237	56748.47262	60.123543	10	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6531	2.9327949	32600.31070	91.632256	9.8663594	1982-1999 –> 2000-2009	5.9152981	2.9825032	56749.76187	118.796519	8	18
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6531	2.9403979	32632.12858	70.435559	9.2169203	1982-1999 –> 2000-2009	5.9335415	2.9931437	56813.80374	96.534876	9	20
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7011	2.1652909	30741.11805	402.685980	14.3238722	2000-2009 –> 2010-2019	4.1310959	1.9658050	58115.92307	837.241289	1	2
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	7011	2.1972094	30944.30784	352.100105	14.6968472	2000-2009 –> 2010-2019	4.3133169	2.1161074	59279.47448	750.497663	2	4
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7011	2.6842388	33753.63941	31.972558	10.8757266	2000-2009 –> 2010-2019	5.4235989	2.7393601	65462.71017	80.300362	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7011	2.8447092	34567.80800	118.716293	11.2276608	2000-2009 –> 2010-2019	5.6863917	2.8416825	66755.88777	262.994470	6	10
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate	7011	2.8822680	34749.72982	28.808716	9.8694894	2000-2009 –> 2010-2019	5.7243448	2.8420767	66937.62147	72.302042	8	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7011	2.7963226	34325.25143	29.722811	11.7979295	2000-2009 –> 2010-2019	5.7413432	2.9450206	66977.89921	74.644304	4	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7011	2.8286599	34488.47487	59.408432	9.3481118	2000-2009 –> 2010-2019	5.7614549	2.9327949	67088.78557	151.040688	5	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	7011	2.8586065	34634.14323	47.340730	9.9412560	2000-2009 –> 2010-2019	5.7990044	2.9403979	67266.27181	117.776288	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + nitrate + phosphate_star	7011	2.9337554	34998.00049	2.533338	9.4623108	2000-2009 –> 2010-2019	5.9118018	2.9780465	67796.31227	5.004037	9	18
Indo-Pacific	(27.5,27.75]	2	cstar_tref ~ sal + nitrate	7011	3.0558653	35567.81075	1.029510	10.0173416	2000-2009 –> 2010-2019	6.0797878	3.0239225	68563.80506	2.093848	11	21
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3167	1.0629768	9386.39456	803.984306	5.5443734	1982-1999 –> 2000-2009	2.4045042	1.3415275	17314.71306	1291.400515	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3167	1.1271453	9757.66149	861.383711	5.7822454	1982-1999 –> 2000-2009	2.4747317	1.3475864	17706.80802	1637.188362	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3167	1.1350461	9799.90491	430.209968	5.6921335	1982-1999 –> 2000-2009	2.4856494	1.3506033	17757.38742	660.765322	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3167	1.6372667	12122.39726	470.216446	11.4317581	1982-1999 –> 2000-2009	3.4564095	1.8191428	21458.37613	847.315852	4	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3167	1.9426968	13205.82093	789.656562	9.4916921	1982-1999 –> 2000-2009	3.7347921	1.7920954	22472.56274	1311.428598	5	9
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	3167	1.9675658	13284.38974	94.658530	11.4012163	1982-1999 –> 2000-2009	3.7596618	1.7920960	22549.13318	178.215444	8	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3167	1.9488513	13223.85552	100.542451	8.2060924	1982-1999 –> 2000-2009	3.8167944	1.8679431	22680.19011	187.402836	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate_star	3167	2.2410112	14108.63361	1.510172	8.5400783	1982-1999 –> 2000-2009	4.2891348	2.0481235	23990.59034	3.804164	9	17
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3167	2.3132081	14311.47287	778.829828	8.1552015	1982-1999 –> 2000-2009	4.4238994	2.1106914	24334.51267	1292.020194	10	19
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + nitrate + phosphate_star	3167	2.3224876	14334.83116	1.503422	9.3216771	1982-1999 –> 2000-2009	4.4341918	2.1117042	24358.08824	3.811002	12	22
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3695	1.2089921	11900.48206	954.378137	14.6582243	2000-2009 –> 2010-2019	2.2719689	1.0629768	21286.87662	1758.362444	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3695	1.3006914	12440.75674	885.769550	10.2411184	2000-2009 –> 2010-2019	2.4278367	1.1271453	22198.41823	1747.153261	2	4
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	3695	1.3060919	12469.37689	405.999075	9.8033225	2000-2009 –> 2010-2019	2.4411380	1.1350461	22269.28180	836.209042	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3695	1.6374434	14142.23170	671.253976	17.4773754	2000-2009 –> 2010-2019	3.2747101	1.6372667	26264.62896	1141.470422	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3695	1.8997801	15240.40067	952.033272	8.3058401	2000-2009 –> 2010-2019	3.8424769	1.9426968	28446.22160	1741.689834	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	3695	1.9072909	15267.55966	147.349589	8.4423619	2000-2009 –> 2010-2019	3.8748567	1.9675658	28551.94940	242.008119	6	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3695	1.9263221	15340.93225	160.056472	7.2866876	2000-2009 –> 2010-2019	3.8751733	1.9488513	28564.78776	260.598923	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	3695	1.9443296	15409.69399	575.244185	22.4854070	2000-2009 –> 2010-2019	3.8892482	1.9449187	28620.75510	979.383643	8	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate_star	3695	2.1817556	16261.11556	2.116903	6.3467731	2000-2009 –> 2010-2019	4.4227668	2.2410112	30369.74917	3.627075	9	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3695	2.2336046	16436.68322	898.415653	6.5667388	2000-2009 –> 2010-2019	4.5468127	2.3132081	30748.15609	1677.245482	11	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4172	1.0091007	11927.21571	837.605942	11.3703816	1982-1999 –> 2000-2009	2.2869370	1.2778363	21810.69721	1603.937327	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	4172	1.0159127	11981.35328	592.630631	11.7183100	1982-1999 –> 2000-2009	2.3224184	1.3065058	21994.45371	933.059600	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4172	1.9301759	17338.73060	548.808260	10.0036380	1982-1999 –> 2000-2009	3.6760052	1.7458293	29073.36047	973.464924	4	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	4172	1.9301766	17336.73346	63.210611	10.0088083	1982-1999 –> 2000-2009	3.6984240	1.7682474	29145.05080	118.325176	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4172	1.9018206	17215.24336	287.928050	10.5558817	1982-1999 –> 2000-2009	3.9065963	2.0047757	29770.28377	554.247310	3	8
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4172	1.9975509	17623.01931	56.916244	7.4920107	1982-1999 –> 2000-2009	4.0045252	2.0069743	30182.56146	115.059589	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	4172	2.2398868	18578.43607	2.197667	9.5865851	1982-1999 –> 2000-2009	4.3713524	2.1314656	31494.97542	4.373853	8	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	4172	2.3060790	18823.44131	494.936993	9.7247874	1982-1999 –> 2000-2009	4.4922171	2.1861381	31892.21874	926.746696	9	17
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	4172	2.3090837	18832.30614	2.384507	9.8813155	1982-1999 –> 2000-2009	4.5062673	2.1971836	31928.97959	4.829717	11	20
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + phosphate + phosphate_star	4172	2.3061987	18821.87442	2.389231	9.7571001	1982-1999 –> 2000-2009	4.5211198	2.2149211	31966.24385	4.874609	10	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5181	0.8636338	13195.90520	790.271736	4.8676166	2000-2009 –> 2010-2019	1.8727345	1.0091007	25123.12091	1627.877678	1	2
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	5181	0.8637095	13194.81348	538.093078	4.8550195	2000-2009 –> 2010-2019	1.8796222	1.0159127	25176.16676	1130.723709	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5181	1.6843894	20117.81997	942.570275	18.7684880	2000-2009 –> 2010-2019	3.6145653	1.9301759	37456.55057	1491.378536	3	7
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5181	1.7330303	20412.80926	422.394650	12.8671003	2000-2009 –> 2010-2019	3.6348508	1.9018206	37628.05261	710.322700	4	7
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	5181	1.7418676	20463.51454	148.685421	14.3976386	2000-2009 –> 2010-2019	3.6720442	1.9301766	37800.24800	211.896033	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	5181	1.9012331	21370.65374	101.005971	6.2995661	2000-2009 –> 2010-2019	3.8987840	1.9975509	38993.67304	157.922216	6	12
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	5181	1.9302873	21527.80548	375.487902	15.5754868	2000-2009 –> 2010-2019	4.1004619	2.1701747	39842.42379	641.679609	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate_star	5181	2.0699615	22251.70681	2.085443	5.9195436	2000-2009 –> 2010-2019	4.3098483	2.2398868	40830.14289	4.283111	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5181	2.1083857	22444.29090	677.238096	7.9721023	2000-2009 –> 2010-2019	4.4144647	2.3060790	41267.73221	1172.175089	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + nitrate + phosphate_star	5181	2.1200284	22499.35362	2.321132	6.1557747	2000-2009 –> 2010-2019	4.4291122	2.3090837	41331.65976	4.705638	11	22
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7839	1.2789576	26115.61805	625.320174	5.6498425	1982-1999 –> 2000-2009	2.5674314	1.2884738	45396.97562	950.340336	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	7839	1.3215606	26627.35325	72.786106	5.7617720	1982-1999 –> 2000-2009	2.8632662	1.5417056	47974.11427	127.290051	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7839	1.4731542	28331.86693	467.528127	6.6084660	1982-1999 –> 2000-2009	2.9889951	1.5158409	49485.68654	790.500253	6	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7839	1.4478860	28060.61817	335.135450	6.3094692	1982-1999 –> 2000-2009	3.1534090	1.7055230	50572.89866	624.947218	3	8
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	7839	1.4862965	28469.11261	5.219749	6.5287858	1982-1999 –> 2000-2009	3.2051266	1.7188301	51068.94356	9.586743	7	13
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	7839	1.4679809	28274.71265	4.897901	6.3996772	1982-1999 –> 2000-2009	3.2121646	1.7441837	51043.25750	8.742396	5	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	7839	1.6158940	29779.80797	422.673254	7.4799872	1982-1999 –> 2000-2009	3.2484917	1.6325978	51786.58487	726.232538	10	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	7839	1.4987679	28600.11676	5.188804	6.4770307	1982-1999 –> 2000-2009	3.2894515	1.7906836	51671.81421	9.643545	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	7839	1.4554734	28140.56081	54.336789	6.8634054	1982-1999 –> 2000-2009	3.4609515	2.0054781	52517.52863	112.639715	4	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	7839	1.6997290	30572.80865	427.208898	7.9762972	1982-1999 –> 2000-2009	3.5044232	1.8046942	53734.30560	708.979676	14	23
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	9093	0.9889673	25615.06132	761.092648	7.3836787	2000-2009 –> 2010-2019	2.2679250	1.2789576	51730.67937	1386.412822	1	2
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	9093	1.0381003	26494.83473	99.515390	5.3238319	2000-2009 –> 2010-2019	2.3596609	1.3215606	53122.18798	172.301496	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9093	1.1293183	28028.49092	464.972054	7.3411868	2000-2009 –> 2010-2019	2.5772043	1.4478860	56089.10909	800.107505	3	6
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	9093	1.1296271	28031.46324	76.500779	7.1389335	2000-2009 –> 2010-2019	2.5851005	1.4554734	56172.02405	130.837568	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	9093	1.1479037	28325.34632	592.153036	4.9146946	2000-2009 –> 2010-2019	2.6210579	1.4731542	56657.21325	1059.681163	5	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate_star	9093	1.1547576	28431.60859	2.965038	6.2746509	2000-2009 –> 2010-2019	2.6227385	1.4679809	56706.32124	7.862939	6	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + nitrate + phosphate_star	9093	1.1719933	28701.04284	3.312904	6.1677375	2000-2009 –> 2010-2019	2.6582897	1.4862965	57170.15545	8.532653	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + phosphate + phosphate_star	9093	1.1863631	28922.66551	3.282667	6.7437246	2000-2009 –> 2010-2019	2.6851310	1.4987679	57522.78227	8.471470	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	9093	1.3091260	30713.39260	421.513414	7.6522117	2000-2009 –> 2010-2019	2.8840771	1.5749510	60090.83773	701.034163	10	19
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate	9093	1.3638320	31457.90261	696.455765	9.1179392	2000-2009 –> 2010-2019	2.9797260	1.6158940	61237.71059	1119.129019	14	24
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5262	0.6728281	10774.61199	697.328552	6.8625709	1982-1999 –> 2000-2009	1.5075866	0.8347585	20168.16761	1014.306037	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5262	0.6873736	10999.70066	350.026719	7.9275675	1982-1999 –> 2000-2009	1.5348864	0.8475128	20508.13450	574.879596	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5262	0.7109424	11354.50063	578.697347	8.5802944	1982-1999 –> 2000-2009	1.5557557	0.8448133	20838.76491	953.376205	5	7
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	5262	0.6729737	10774.88915	86.053613	6.8847982	1982-1999 –> 2000-2009	1.5582647	0.8852910	20611.71600	147.590863	2	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	5262	0.7070656	11294.95563	9.887300	8.5436836	1982-1999 –> 2000-2009	1.5629088	0.8558432	20875.49263	16.513701	4	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	5262	0.7274390	11593.90824	11.037562	8.7181741	1982-1999 –> 2000-2009	1.5749525	0.8475135	21100.34830	18.463931	7	11
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	5262	0.7176322	11451.06658	11.042967	8.6985096	1982-1999 –> 2000-2009	1.5780486	0.8604164	21071.97776	18.914557	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	5262	0.7841325	12383.71160	71.308845	5.5118859	1982-1999 –> 2000-2009	2.0754385	1.2913060	25080.42552	153.873304	8	20
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	5262	1.1913529	16785.55123	560.674001	6.7689992	1982-1999 –> 2000-2009	2.2474314	1.0560785	27958.79534	796.207219	10	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	5262	1.2450469	17249.48789	575.514480	5.9949508	1982-1999 –> 2000-2009	2.3732472	1.1282003	28923.21142	808.604882	14	23
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7396	0.4637981	9636.15561	678.395577	5.0739750	2000-2009 –> 2010-2019	1.1366262	0.6728281	20410.76759	1375.724129	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7396	0.4700778	9835.09371	337.295571	4.6250195	2000-2009 –> 2010-2019	1.1574515	0.6873736	20834.79438	687.322291	2	5
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	7396	0.4863297	10335.85178	70.298154	6.1612193	2000-2009 –> 2010-2019	1.1593034	0.6729737	21110.74092	156.351767	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7396	0.5121776	11103.85023	601.563033	4.3729981	2000-2009 –> 2010-2019	1.2231200	0.7109424	22458.35086	1180.260380	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate_star	7396	0.5450023	12020.70975	4.882224	6.0595178	2000-2009 –> 2010-2019	1.2520679	0.7070656	23315.66538	14.769524	6	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + phosphate + phosphate_star	7396	0.5595796	12411.15488	5.659877	5.9559501	2000-2009 –> 2010-2019	1.2772118	0.7176322	23862.22146	16.702844	7	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	7396	0.4977472	10679.10799	62.250969	4.8771225	2000-2009 –> 2010-2019	1.2818797	0.7841325	23062.81960	133.559814	4	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + nitrate + phosphate_star	7396	0.5810027	12966.88398	5.638850	6.1462960	2000-2009 –> 2010-2019	1.3084417	0.7274390	24560.79222	16.676412	8	15
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate_star	7396	0.9374938	20044.18759	309.121110	5.6546029	2000-2009 –> 2010-2019	2.0680031	1.1305092	36278.05658	614.416219	9	18
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + nitrate + phosphate	7396	1.0276379	21402.21057	654.285354	9.6185151	2000-2009 –> 2010-2019	2.2189907	1.1913529	38187.76180	1214.959355	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	7920	0.6827947	16446.05982	804.477223	12.6067145	1982-1999 –> 2000-2009	1.2614193	0.5786246	28841.89131	1293.875965	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7920	0.6978825	16790.26766	116.450362	12.8227868	1982-1999 –> 2000-2009	1.2813742	0.5834916	29303.05763	202.128882	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7920	0.7043443	16936.25752	407.110920	12.3819561	1982-1999 –> 2000-2009	1.3101350	0.6057907	29981.68476	571.649889	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7920	0.7405148	17729.49706	212.016561	12.9898086	1982-1999 –> 2000-2009	1.3784653	0.6379506	31509.54138	452.224378	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7920	0.7479556	17887.86461	434.251655	11.6793260	1982-1999 –> 2000-2009	1.3953612	0.6474056	31876.85206	592.475512	5	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	7920	0.7763249	18475.54876	6.109049	12.8324982	1982-1999 –> 2000-2009	1.4434262	0.6671013	32888.15526	11.738276	8	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	7920	0.7749065	18446.58153	36.880085	12.1626019	1982-1999 –> 2000-2009	1.4486020	0.6736955	32998.88288	71.169252	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	7920	0.7528243	17988.63970	33.895180	11.2654212	1982-1999 –> 2000-2009	1.4613409	0.7085166	33256.65333	66.971322	6	15
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	7920	0.7879650	18711.28927	6.136418	12.7344393	1982-1999 –> 2000-2009	1.4735402	0.6855752	33511.84020	11.832165	9	17
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	7920	0.7984927	18921.52008	6.161034	12.6896259	1982-1999 –> 2000-2009	1.5145339	0.7160412	34339.56680	11.771611	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	9857	0.4507552	12278.23012	590.835585	4.7732054	2000-2009 –> 2010-2019	1.1335499	0.6827947	28724.28994	1395.312809	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	9857	0.4524213	12348.96186	298.404766	4.6359381	2000-2009 –> 2010-2019	1.1567656	0.7043443	29285.21938	705.515686	2	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	9857	0.5738586	17036.34423	80.612633	6.6233461	2000-2009 –> 2010-2019	1.2717411	0.6978825	33826.61189	197.062996	3	5
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	9857	0.6551023	19646.64383	147.984232	7.0561453	2000-2009 –> 2010-2019	1.3956171	0.7405148	37376.14089	360.000793	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate	9857	0.6796037	20370.51162	278.306672	4.9405901	2000-2009 –> 2010-2019	1.4275593	0.7479556	38258.37623	712.558327	7	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + nitrate	9857	0.6799437	20378.37151	33.929735	4.7848996	2000-2009 –> 2010-2019	1.4327680	0.7528243	38367.01121	67.824916	8	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	9857	0.6664734	19983.89975	3.297744	6.8005242	2000-2009 –> 2010-2019	1.4427983	0.7763249	38459.44851	9.406792	5	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + phosphate + phosphate_star	9857	0.6776972	20313.12856	3.296341	6.6520035	2000-2009 –> 2010-2019	1.4656622	0.7879650	39024.41783	9.432759	6	15
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + nitrate + phosphate_star	9857	0.7030521	21037.23365	3.266075	6.6955403	2000-2009 –> 2010-2019	1.5015448	0.7984927	39958.75373	9.427109	9	19
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate	9857	0.7457090	22198.47676	34.508912	6.4900261	2000-2009 –> 2010-2019	1.5206155	0.7749065	40645.05829	71.388997	10	17
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1127	0.4861273	1586.51151	438.260884	1.5237512	1982-1999 –> 2000-2009	0.7601872	0.2740599	1895.14977	1410.284352	1	2
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	1127	0.4889956	1597.77205	423.609242	1.5668594	1982-1999 –> 2000-2009	0.7720486	0.2830530	1980.80183	1355.951561	5	7
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1127	0.4864885	1586.18566	390.301938	1.5074854	1982-1999 –> 2000-2009	0.7897780	0.3032895	2132.59680	1354.017423	3	6
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + phosphate + phosphate_star	1127	0.4890027	1595.80451	387.109119	1.5637756	1982-1999 –> 2000-2009	0.7979661	0.3089634	2184.06926	1307.311760	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1127	0.4864041	1585.79487	438.248710	1.5397933	1982-1999 –> 2000-2009	0.7994831	0.3130790	2207.36825	1302.415240	2	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1127	0.4865468	1584.45587	372.080588	1.5203636	1982-1999 –> 2000-2009	0.8110782	0.3245314	2289.03199	1235.984848	4	10
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + nitrate + phosphate	1127	0.4960522	1628.06631	345.963037	1.5182079	1982-1999 –> 2000-2009	0.8242476	0.3281954	2359.20538	493.530089	7	14
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1127	0.5028062	1656.54881	70.417723	1.3404791	1982-1999 –> 2000-2009	0.8357094	0.3329032	2419.38555	117.534972	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1127	0.7670263	2612.44963	248.444627	2.7716280	1982-1999 –> 2000-2009	1.2629300	0.4959037	4322.20827	611.185650	9	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + phosphate + phosphate_star	1127	0.7691079	2616.55839	18.239171	2.7335706	1982-1999 –> 2000-2009	1.2651817	0.4960738	4325.12855	25.501862	11	21
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	1619	0.3228429	943.67391	770.914363	1.3114655	2000-2009 –> 2010-2019	0.8093897	0.4865468	2528.12978	1142.994951	5	6
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ nitrate + phosphate	1619	0.3231806	945.06002	56.384963	1.3366991	2000-2009 –> 2010-2019	0.8259869	0.5028062	2601.60883	126.802686	6	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1619	0.3179144	895.86154	103.167765	1.5955621	2000-2009 –> 2010-2019	1.0849407	0.7670263	3508.31117	351.612392	1	4
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + phosphate + phosphate_star	1619	0.3186124	900.96366	60.878766	1.5465714	2000-2009 –> 2010-2019	1.0877203	0.7691079	3517.52206	79.117937	2	7
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + phosphate	1619	0.3332836	1046.73356	52.509656	1.7867717	2000-2009 –> 2010-2019	1.1004249	0.7671413	3657.52109	83.035572	11	15
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + phosphate + phosphate_star	1619	0.3199394	914.42114	95.809189	1.6193352	2000-2009 –> 2010-2019	1.1096964	0.7897570	3590.69707	326.688790	3	9
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ phosphate + phosphate_star	1619	0.3215192	928.37091	1.055402	1.5483965	2000-2009 –> 2010-2019	1.1113053	0.7897861	3602.72973	2.604071	4	11
Indo-Pacific	(28.2,28.3]	2	cstar_tref ~ sal + phosphate	1619	0.3402938	1112.13378	1.571993	1.9484942	2000-2009 –> 2010-2019	1.1322788	0.7919850	3792.75960	3.724614	12	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	1619	0.3244586	961.83856	103.167027	1.6854924	2000-2009 –> 2010-2019	1.1456525	0.8211939	3728.09696	336.548326	7	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate_star	1619	0.3257313	972.51506	94.393760	1.6991668	2000-2009 –> 2010-2019	1.1492190	0.8234877	3743.06072	296.960711	8	20
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + nitrate	56	0.0008007	-629.64002	7.937995	0.0022086	1982-1999 –> 2000-2009	0.6783650	0.6775643	-316.91183	325.127700	1	2
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + nitrate	56	0.0105251	-343.12604	1.389320	0.0306199	1982-1999 –> 2000-2009	0.7281434	0.7176183	-15.51243	197.396492	10	12
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + nitrate	56	0.0008009	-631.61787	4.436591	0.0021942	1982-1999 –> 2000-2009	0.7665042	0.7657034	-284.93631	7.594849	2	5
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate	56	0.0009764	-607.41840	8.778050	0.0028090	1982-1999 –> 2000-2009	0.8230862	0.8221098	-237.83958	353.250831	4	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ nitrate + phosphate_star	56	0.0008941	-619.28297	34.972526	0.0019446	1982-1999 –> 2000-2009	0.8270189	0.8261248	-250.27180	94.089574	3	8
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + phosphate	56	0.0014004	-569.03023	4.994846	0.0034185	1982-1999 –> 2000-2009	0.8353399	0.8339395	-197.25107	8.243470	6	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate_star	56	0.0015073	-558.79456	17.519845	0.0035266	1982-1999 –> 2000-2009	0.8795515	0.8780442	-169.86378	344.800589	7	14
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ aou + phosphate	56	0.0051500	-423.18032	1.355518	0.0152980	1982-1999 –> 2000-2009	0.9289667	0.9238167	-21.30942	245.782278	9	18
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ phosphate + phosphate_star	56	0.0012416	-582.51422	51.874625	0.0030356	1982-1999 –> 2000-2009	0.9524512	0.9512096	-172.05242	115.678603	5	15
Indo-Pacific	(28.3, Inf]	2	cstar_tref ~ sal + aou	56	0.0723445	-127.22629	1.069579	0.2084173	1982-1999 –> 2000-2009	0.9709413	0.8985968	266.50692	4.659841	12	20

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	10.5768501	2566.7133
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	9.8855892	2689.2524
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.8362363	7662.1661
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	10.7442157	8584.5677
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.6269822	7293.1530
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.8533411	7095.0863
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.7516791	10420.0088
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.8072132	9983.5608
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.8800655	14230.2262
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.6758271	12187.3930
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.4057850	17079.5356
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.1399725	17537.2147
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	5.8311670	22805.6007
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.5824191	25457.4909
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	6.0357695	13237.2049
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	7.1173677	15869.8150
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	9.0102626	44511.6228
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.2622006	53174.0949
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	4.9753305	29393.2162
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	5.6423620	31097.4384
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.9785190	13238.8251
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.3480263	15058.0410
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.6749281	9141.2501
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.9069051	12828.8731
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.1056419	2302.5054
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.2617126	3387.3490
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.1907635	2897.1955
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.1735067	2665.9787
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	24.9123860	45576.7458
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	25.1236148	68914.8560
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.6196149	41064.3661
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	24.3443094	46684.1804
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	17.5659452	34799.9069
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	20.2031489	38664.3866
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	12.0141993	39115.6674
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.8355553	46694.4954
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.2855061	45902.9192
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.7162011	53949.9349
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.9751339	54931.6811
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.2363815	63253.6260
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.1456289	53268.1092
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	5.4572140	65424.4691
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	3.5279769	21462.2362
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	3.4866988	26732.0825
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.7785863	28925.8825
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	3.5826488	36544.9771
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.1493711	50525.2109
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	2.6240911	56649.9021
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.7568520	22713.7034
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.4083096	25408.1971
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.3968198	31850.8126
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.3748622	36392.5328
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.8918610	2611.4946
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.0556614	3427.0437
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.8390368	-139.9442

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
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
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8b75a03	Donghe-Zhu	2021-07-15
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bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
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f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
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ee4cd2d	Donghe-Zhu	2021-07-06
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a482a6b	Donghe-Zhu	2021-07-05
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cb1c8dc	Donghe-Zhu	2021-07-04
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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
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28cbe5e	Donghe-Zhu	2021-05-27
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951e188	Donghe-Zhu	2021-05-27
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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
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1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
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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
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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
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db33928	Donghe-Zhu	2021-03-10
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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
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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
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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
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
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	10	8	6	5
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	7	5	7	7
(26.75,27]	6	7	5	6	7
(27,27.25]	6	7	6	7	7
(27.25,27.5]	7	6	6	7	9
(27.5,27.75]	6	9	6	6	9
(27.75,27.85]	6	10	7	7	6
(27.85,27.95]	6	10	5	6	8
(27.95,28.05]	5	10	6	5	6
(28.05,28.1]	6	10	5	5	6
(28.1,28.15]	7	8	6	6	7
(28.15,28.2]	7	6	4	7	6
(28.2, Inf]	8	6	5	10	6
total	88.00	115.00	81.00	90.00	94.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	10	8	6	5
(26,26.5]	6	9	7	5	5
(26.5,26.75]	6	7	6	6	7
(26.75,27]	6	7	5	6	7
(27,27.25]	6	9	6	6	7
(27.25,27.5]	7	6	6	7	9
(27.5,27.75]	5	10	6	6	8
(27.75,27.85]	6	10	7	7	6
(27.85,27.95]	6	10	7	7	6
(27.95,28.05]	6	10	7	7	6
(28.05,28.1]	6	10	6	4	5
(28.1,28.15]	7	6	5	7	9
(28.15,28.2]	6	7	3	6	7
(28.2, Inf]	9	6	6	8	5
total	88.00	117.00	85.00	88.00	92.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	10	8	6	6	5
(26,26.5]	9	6	7	6	5
(26.5,26.75]	5	10	5	5	7
(26.75,27]	7	6	6	5	9
(27,27.25]	6	8	6	8	6
(27.25,27.5]	5	5	6	7	9
(27.5,27.75]	7	8	8	7	7
(27.75,27.85]	8	6	6	7	8
(27.85,27.95]	7	5	6	7	9
(27.95,28.05]	6	7	6	6	8
(28.05,28.1]	6	7	6	6	8
(28.1,28.2]	7	6	6	7	10
(28.2,28.3]	5	8	10	6	6
(28.3, Inf]	6	4	4	3	6
total	94.00	94.00	88.00	86.00	103.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	10	8	6	6	5
(26,26.5]	10	6	8	6	5
(26.5,26.75]	5	7	5	5	10
(26.75,27]	8	5	6	6	8
(27,27.25]	6	8	6	8	6
(27.25,27.5]	5	5	6	7	9
(27.5,27.75]	5	8	6	6	8
(27.75,27.85]	9	6	6	7	7
(27.85,27.95]	8	6	5	7	8
(27.95,28.05]	7	7	5	6	8
(28.05,28.1]	7	7	5	6	8
(28.1,28.2]	7	6	6	7	10
(28.2,28.3]	6	4	8	6	5
total	93.00	83.00	78.00	83.00	97.00

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
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
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