eMLR - model fitting

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Last updated: 2021-07-31

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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Environment: empty

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Seed: set.seed(20200707)

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Session information: recorded

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Cache: none

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File paths: relative

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Repository version: 88ae231

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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	6528618	Donghe-Zhu	2021-07-31	Build site.
html	f50925e	Donghe-Zhu	2021-07-31	Build site.
html	f4de2f3	Donghe-Zhu	2021-07-30	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
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html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
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html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	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
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
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html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
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html	00072e2	Donghe-Zhu	2021-06-23	Build site.
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html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
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html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, nitrate, 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:

• 56

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	2	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	174	3.2084126	913.48076	50.859699	10.3578883	1982-1999 –> 2000-2009	8.5261319	5.3177193	2398.31269	113.350201	1	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	174	3.3616221	929.71403	55.178541	11.8822942	1982-1999 –> 2000-2009	8.7347213	5.3730992	2419.47749	129.547745	4	7
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	3	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	174	3.5331930	947.03690	92.462056	12.7542165	1982-1999 –> 2000-2009	9.1159657	5.5827727	2455.02196	262.639022	5	9
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	6	19
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + phosphate	174	4.2287184	1007.57145	39.837177	16.6921763	1982-1999 –> 2000-2009	10.4663924	6.2376740	2566.35529	61.102474	7	23
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	11	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	174	4.7756070	1049.89595	54.908994	10.8456467	1982-1999 –> 2000-2009	10.5770937	5.8014867	2574.17306	128.709972	12	20
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	174	4.6921624	1043.76156	88.865247	11.8948116	1982-1999 –> 2000-2009	10.6101106	5.9179482	2577.49945	258.546932	10	21
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	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	267	4.6221396	1589.19120	39.464908	14.8561287	2000-2009 –> 2010-2019	7.8305522	3.2084126	2502.67195	90.324607	2	3
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	267	4.6557422	1593.05929	40.859214	15.1309870	2000-2009 –> 2010-2019	8.0173643	3.3616221	2522.77333	96.037756	3	7
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	4	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	267	4.8585854	1615.83225	93.136389	15.4029812	2000-2009 –> 2010-2019	8.3917784	3.5331930	2562.86915	185.598444	5	10
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	12	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	267	4.9204978	1620.59396	37.517669	17.8785181	2000-2009 –> 2010-2019	9.7338034	4.8133055	2673.22623	79.294969	6	20
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	267	5.1406759	1643.96974	87.787109	14.6309609	2000-2009 –> 2010-2019	9.8328384	4.6921624	2687.73131	176.652355	7	17
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	9	20
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	267	5.1426631	1644.17612	37.712766	13.7822013	2000-2009 –> 2010-2019	9.9182701	4.7756070	2694.07207	92.621760	8	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	578	3.2306824	3009.92650	554.753702	13.2415059	1982-1999 –> 2000-2009	7.1477761	3.9170937	6877.38179	880.834772	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	578	3.3384299	3047.85164	581.579274	13.9125726	1982-1999 –> 2000-2009	7.3104609	3.9720310	6934.58271	974.872824	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	578	3.4964574	3101.31628	604.747840	14.1914347	1982-1999 –> 2000-2009	7.5647336	4.0682762	7021.18282	1004.653101	4	7
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	2	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	578	3.8503632	3210.77457	135.559345	18.2281348	1982-1999 –> 2000-2009	8.3358697	4.4855065	7263.76385	257.913367	9	14
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	578	3.5234821	3108.21683	281.599349	12.3056294	1982-1999 –> 2000-2009	8.3579509	4.8344688	7264.89518	439.352873	5	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	578	3.5568972	3119.12816	501.021640	13.1458190	1982-1999 –> 2000-2009	8.3894319	4.8325347	7275.25270	771.215168	7	13
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	6	16
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	578	3.6313684	3143.08159	307.650223	14.0197160	1982-1999 –> 2000-2009	8.4680863	4.8367179	7300.40364	542.091394	8	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	578	3.8898886	3220.58083	63.419891	17.5947097	1982-1999 –> 2000-2009	8.7667878	4.8768992	7387.35305	153.701512	10	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	800	5.3323707	4962.37512	158.755560	46.1147557	2000-2009 –> 2010-2019	8.5630531	3.2306824	7972.30162	713.509262	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	800	5.3391813	4964.41736	372.783023	45.0138330	2000-2009 –> 2010-2019	8.6776112	3.3384299	8012.26901	954.362297	2	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	800	5.4349031	4992.84837	194.422358	44.0451187	2000-2009 –> 2010-2019	8.9313606	3.4964574	8094.16465	799.170198	4	8
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	9	11
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	800	5.6442466	5051.32041	114.175275	35.5997061	2000-2009 –> 2010-2019	9.1677287	3.5234821	8159.53725	395.774625	6	11
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	800	5.3422421	4963.33435	81.092763	43.7204321	2000-2009 –> 2010-2019	9.1926054	3.8503632	8174.10892	216.652107	3	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	800	5.6433316	5051.06102	334.825631	35.4646637	2000-2009 –> 2010-2019	9.2002288	3.5568972	8170.18918	835.847271	5	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	800	5.6655357	5057.34399	160.944706	35.7710595	2000-2009 –> 2010-2019	9.2969041	3.6313684	8200.42557	468.594929	8	16
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	10	16
Atlantic	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	800	5.6592806	5053.57651	68.227714	37.9223442	2000-2009 –> 2010-2019	9.5491692	3.8898886	8274.15734	131.647605	7	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	603	2.9376764	3024.84832	771.077175	23.8323858	1982-1999 –> 2000-2009	6.2108201	3.2731436	6779.18232	1285.769911	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	603	2.9452631	3027.95885	788.866403	24.5368338	1982-1999 –> 2000-2009	6.2169956	3.2717325	6781.67362	1292.933603	2	3
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	3	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	603	2.9830216	3041.32157	185.866702	20.0743254	1982-1999 –> 2000-2009	6.3586517	3.3756302	6837.92909	313.608992	4	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	603	3.0860362	3082.26619	503.491127	29.2715191	1982-1999 –> 2000-2009	6.3629439	3.2769077	6836.25062	875.621213	6	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	603	3.1581080	3110.10746	517.054778	28.9846578	1982-1999 –> 2000-2009	6.4317476	3.2736396	6862.65902	896.763035	9	12
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	8	14
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	5	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	603	3.2433295	3140.21997	143.773797	21.3194048	1982-1999 –> 2000-2009	6.6201573	3.3768278	6935.33689	241.271339	10	18
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	7	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	669	3.6267839	3636.34706	435.779971	30.8786496	2000-2009 –> 2010-2019	6.5720470	2.9452631	6664.30591	1224.646374	1	3
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	2	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	669	3.6747211	3653.91629	442.556879	30.4749166	2000-2009 –> 2010-2019	6.6123975	2.9376764	6678.76461	1213.634053	4	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	669	3.6712814	3650.66331	137.209245	24.4551405	2000-2009 –> 2010-2019	6.6543030	2.9830216	6691.98488	323.075947	3	7
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	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	669	3.7560455	3681.20439	333.749731	35.2814253	2000-2009 –> 2010-2019	6.8420818	3.0860362	6763.47057	837.240858	6	12
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	7	14
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	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	669	3.8379880	3710.08054	347.551103	35.1902233	2000-2009 –> 2010-2019	6.9960960	3.1581080	6820.18799	864.605881	9	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	669	3.8664891	3717.97991	112.258231	25.7511812	2000-2009 –> 2010-2019	7.1098186	3.2433295	6858.19987	256.032028	10	20
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]	4	cstar_tref ~ sal + temp + aou + nitrate	897	2.8757718	4452.61577	74.809277	15.9158906	1982-1999 –> 2000-2009	5.7908237	2.9150519	9825.54729	168.259873	2	4
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	3	6
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	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	897	3.2348422	4663.69613	132.124906	15.3493916	1982-1999 –> 2000-2009	6.6512565	3.4164143	10378.47591	293.262034	5	13
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	897	3.2712018	4683.74815	29.305272	15.4032533	1982-1999 –> 2000-2009	6.6843263	3.4131246	10396.45284	53.706476	9	15
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	897	3.2731437	4684.81286	32.418732	15.4040696	1982-1999 –> 2000-2009	6.6863922	3.4132485	10397.59573	66.368800	10	17
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	6	15
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	7	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	897	3.3021664	4700.64999	36.430160	15.3399320	1982-1999 –> 2000-2009	6.8206543	3.5184879	10478.84307	73.135766	12	22
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]	4	cstar_tref ~ sal + temp + aou + nitrate	988	3.1161404	5061.73460	82.539381	18.2909254	2000-2009 –> 2010-2019	5.9919122	2.8757718	9514.35037	157.348658	2	4
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	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate	988	3.3842912	5224.85208	746.985778	17.5848943	2000-2009 –> 2010-2019	6.6466592	3.2623680	9903.74903	1666.905899	4	12
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	5	9
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	988	3.6235139	5359.81240	144.592183	17.5648959	2000-2009 –> 2010-2019	6.8583562	3.2348422	10023.50853	276.717089	6	11
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	8	14
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	12	19
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	988	3.6393519	5368.43042	35.519874	17.6931704	2000-2009 –> 2010-2019	6.9105536	3.2712018	10052.17857	64.825146	10	19
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	988	3.6390988	5368.29301	37.797501	17.6898795	2000-2009 –> 2010-2019	6.9122425	3.2731437	10053.10587	70.216233	9	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1047	2.5653052	4957.96752	389.002955	17.2479175	1982-1999 –> 2000-2009	4.7849974	2.2196922	13012.72951	957.010974	4	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1047	2.5613963	4954.77432	692.032439	16.7146865	1982-1999 –> 2000-2009	4.7905190	2.2291227	13024.91752	1567.909310	3	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1047	2.5522605	4947.29220	419.728496	15.9712936	1982-1999 –> 2000-2009	4.8131485	2.2608881	13068.77011	989.670890	1	7
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1047	2.5725017	4961.83357	30.346384	18.0711615	1982-1999 –> 2000-2009	4.8278135	2.2553118	13072.35234	106.996779	5	9
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	6	11
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	7	10
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	2	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1047	2.7855831	5128.47074	29.629848	18.2266928	1982-1999 –> 2000-2009	5.6352500	2.8496669	14087.62901	78.423582	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1047	2.9289889	5233.58960	49.339942	20.1339417	1982-1999 –> 2000-2009	5.8692534	2.9402645	14306.29496	167.331295	10	19
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	11	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1273	2.9676944	6396.11905	379.251162	12.3120583	2000-2009 –> 2010-2019	5.5329997	2.5653052	11354.08657	768.254117	1	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1273	3.0127305	6434.46547	615.006434	11.7281652	2000-2009 –> 2010-2019	5.5741268	2.5613963	11389.23980	1307.038873	2	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1273	3.0341251	6452.48174	409.342586	11.4881887	2000-2009 –> 2010-2019	5.5863855	2.5522605	11399.77394	829.071082	3	4
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	4	6
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	5	12
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	6	12
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1273	3.4458602	6774.46138	43.948329	19.4724818	2000-2009 –> 2010-2019	6.0183618	2.5725017	11736.29495	74.294714	7	12
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	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1273	3.5063379	6818.75821	367.197528	18.8870166	2000-2009 –> 2010-2019	6.6469911	3.1406533	12198.45364	677.321019	9	26
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1273	4.1846570	7269.02488	30.855894	25.9587930	2000-2009 –> 2010-2019	6.9702401	2.7855831	12397.49562	60.485742	19	28
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1573	2.6783994	7577.48073	187.257384	10.4045081	1982-1999 –> 2000-2009	4.9069063	2.2285070	16370.42980	527.184335	1	3
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1573	2.7023788	7605.52127	219.397551	10.4503943	1982-1999 –> 2000-2009	4.9156155	2.2132367	16371.28325	594.617852	2	3
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1573	2.7284830	7635.76479	215.518561	10.3365313	1982-1999 –> 2000-2009	4.9696863	2.2412033	16451.17688	582.306806	4	7
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	5	9
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	12	17
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1573	2.7768948	7689.09527	25.544616	11.2936893	1982-1999 –> 2000-2009	5.1455659	2.3686711	16721.22739	86.817567	11	19
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	7	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1573	2.7106153	7613.09529	24.089689	10.8047477	1982-1999 –> 2000-2009	5.3172617	2.6066463	17023.76511	95.160594	3	18
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	14	24
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1573	2.7355808	7641.93815	25.297497	10.7393417	1982-1999 –> 2000-2009	5.3368839	2.6013031	17044.49454	84.236550	6	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1698	3.9451404	9493.67274	167.880289	52.4959765	2000-2009 –> 2010-2019	6.6475192	2.7023788	17099.19401	387.277841	1	3
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1698	3.9923982	9534.11080	184.492420	52.7615185	2000-2009 –> 2010-2019	6.6707975	2.6783994	17111.59153	371.749803	4	5
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	2	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1698	3.9741236	9518.53048	168.253977	52.4740242	2000-2009 –> 2010-2019	6.7026066	2.7284830	17154.29527	383.772538	3	7
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	6	11
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	7	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1698	4.1083068	9629.30052	38.162388	41.7384870	2000-2009 –> 2010-2019	6.8852016	2.7768948	17318.39580	63.707003	9	20
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	10	24
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	1698	4.0041571	9542.09849	31.440482	51.6585045	2000-2009 –> 2010-2019	7.0747376	3.0705804	17547.47145	56.475361	5	28
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	8	33
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2071	3.1899189	10695.94480	267.607746	30.5740787	1982-1999 –> 2000-2009	5.5061569	2.3162380	22234.76505	605.606715	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2071	3.1965021	10704.48395	242.438499	29.8858978	1982-1999 –> 2000-2009	5.5504790	2.3539769	22325.76224	536.497189	2	4
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	3	7
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	5	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2071	3.2155161	10729.04923	219.684143	29.0928801	1982-1999 –> 2000-2009	5.5758226	2.3603065	22364.02776	487.302985	8	11
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	9	16
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	4	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2071	3.2310324	10746.98808	35.285766	26.8053827	1982-1999 –> 2000-2009	5.5925207	2.3614883	22382.52057	70.232262	12	18
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	14	22
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2071	3.2291362	10744.55652	23.685735	26.2660255	1982-1999 –> 2000-2009	5.6573381	2.4282020	22522.22560	52.680353	10	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	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2544	4.1227813	14440.85375	155.276298	35.2335302	2000-2009 –> 2010-2019	7.3192834	3.1965021	25145.33770	397.714797	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2544	4.1615527	14488.47868	201.051648	37.0745306	2000-2009 –> 2010-2019	7.3514717	3.1899189	25184.42347	468.659394	3	4
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	5	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2544	4.1833494	14515.05819	131.701304	34.5475953	2000-2009 –> 2010-2019	7.3988655	3.2155161	25244.10742	351.385447	4	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2544	4.1861838	14516.50438	21.433432	33.0363325	2000-2009 –> 2010-2019	7.4153199	3.2291362	25261.06090	45.119168	6	16
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	7	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2544	4.2987689	14651.53554	114.940845	47.0223428	2000-2009 –> 2010-2019	7.4993051	3.2005362	25359.24363	270.590163	12	18
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	13	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2544	4.2975412	14650.08228	19.013841	28.0738573	2000-2009 –> 2010-2019	7.5285736	3.2310324	25397.07037	54.299607	11	23
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	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1299	3.5934835	7023.56147	93.330759	25.8491914	1982-1999 –> 2000-2009	5.8088896	2.2154060	13042.94440	215.268757	2	4
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	3	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1299	3.6275693	7048.08851	132.849567	25.7032671	1982-1999 –> 2000-2009	5.8408864	2.2133171	13064.91300	351.992066	4	5
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	6	12
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1299	3.6689999	7077.59215	90.894607	26.9816746	1982-1999 –> 2000-2009	5.9302503	2.2612505	13152.52298	210.845722	5	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1299	3.6768459	7081.14196	93.006918	31.9792351	1982-1999 –> 2000-2009	5.9378499	2.2610040	13153.77715	212.192258	7	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1299	3.7147719	7107.80260	132.476835	32.5247718	1982-1999 –> 2000-2009	5.9751757	2.2604038	13179.71779	348.508094	10	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1299	3.7754167	7149.87325	56.724147	25.4003562	1982-1999 –> 2000-2009	5.9908313	2.2154146	13167.26671	103.685332	14	17
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	15	22
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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1658	3.0933045	8463.75976	106.559129	16.4005833	2000-2009 –> 2010-2019	6.6867880	3.5934835	15487.32123	199.889888	2	4
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	3	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1658	3.1173010	8489.38461	149.577263	17.1186033	2000-2009 –> 2010-2019	6.7448703	3.6275693	15537.47312	282.426829	4	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1658	3.1729457	8548.05409	104.105069	18.0537930	2000-2009 –> 2010-2019	6.8419456	3.6689999	15625.64624	194.999676	6	11
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	5	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1658	3.2616528	8637.48832	104.870507	15.4452943	2000-2009 –> 2010-2019	6.9384987	3.6768459	15718.63028	197.877424	7	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1658	3.2944605	8670.67604	149.221403	16.1365132	2000-2009 –> 2010-2019	7.0092324	3.7147719	15778.47864	281.698238	8	18
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	9	17
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	10	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4180	4.7359095	24877.57906	50.752212	24.1642667	1982-1999 –> 2000-2009	8.5676041	3.8316945	43768.76601	136.704859	1	3
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	5	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4180	4.7360518	24877.83013	50.693770	24.0906678	1982-1999 –> 2000-2009	8.5696440	3.8335922	43772.40081	136.221633	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4180	4.7410131	24886.58330	77.696765	24.0833469	1982-1999 –> 2000-2009	8.5864770	3.8454639	43802.28451	229.921071	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4180	4.7361241	24875.95788	40.082411	23.9875116	1982-1999 –> 2000-2009	8.6344804	3.8983562	43883.01659	113.513267	3	9
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	7	12
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	8	15
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	9	17
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	6	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4180	4.7872452	24965.71096	20.022559	23.4989553	1982-1999 –> 2000-2009	8.9979366	4.2106914	44499.47893	48.055761	11	25
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4522	5.0281398	27453.39316	72.752776	49.0301938	2000-2009 –> 2010-2019	9.7640493	4.7359095	52330.97222	123.504988	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4522	5.0484192	27489.79584	116.076100	51.9400535	2000-2009 –> 2010-2019	9.7894323	4.7410131	52376.37914	193.772865	2	6
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4522	5.0546260	27500.90822	72.887570	53.4794765	2000-2009 –> 2010-2019	9.7906777	4.7360518	52378.73834	123.581339	3	5
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	4	9
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	7	13
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	6	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4522	5.0800117	27544.21606	24.609503	59.2815233	2000-2009 –> 2010-2019	9.8672569	4.7872452	52509.92702	44.632063	5	16
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	9	16
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	8	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4522	5.2472791	27837.20647	9.900289	53.3749282	2000-2009 –> 2010-2019	10.0295994	4.7823203	52794.31270	18.650055	10	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2959	1.9064353	12229.78005	321.532736	10.5890649	1982-1999 –> 2000-2009	3.7404530	1.8340177	25806.17673	736.809986	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2959	1.9345030	12316.27306	220.518960	11.4370420	1982-1999 –> 2000-2009	3.8136289	1.8791259	26055.36731	538.649002	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2959	1.9792876	12449.71576	167.201905	13.8646623	1982-1999 –> 2000-2009	3.8744329	1.8951453	26243.65095	545.479771	3	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2959	1.9865117	12473.27604	235.281958	13.0085375	1982-1999 –> 2000-2009	3.9139785	1.9274669	26382.44811	570.246017	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2959	2.0167248	12560.60624	115.285702	15.1007777	1982-1999 –> 2000-2009	3.9766114	1.9598865	26579.46725	405.370898	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2959	2.0678178	12708.66871	115.861815	16.4443060	1982-1999 –> 2000-2009	4.0762053	2.0083876	26891.21753	413.004098	6	12
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	7	15
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	8	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2959	2.3064241	13354.94079	135.590533	20.1478017	1982-1999 –> 2000-2009	4.5221469	2.2157228	28195.34809	234.421672	9	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate	2959	2.3354085	13426.84782	20.130195	22.1163289	1982-1999 –> 2000-2009	4.6516782	2.3162697	28562.41915	39.734239	10	20
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3384	2.7330636	16422.08011	370.214794	9.0086502	2000-2009 –> 2010-2019	4.6394990	1.9064353	28651.86016	691.747530	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3384	2.7730505	16520.38390	260.141666	9.0957228	2000-2009 –> 2010-2019	4.7075535	1.9345030	28836.65697	480.660626	2	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3384	2.7890545	16557.33149	222.925330	8.8759202	2000-2009 –> 2010-2019	4.7683421	1.9792876	29007.04726	390.127235	3	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3384	2.7974671	16577.71503	171.554864	8.7686319	2000-2009 –> 2010-2019	4.8141919	2.0167248	29138.32127	286.840565	4	9
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3384	2.8330914	16665.35778	262.871369	10.0044196	2000-2009 –> 2010-2019	4.8196030	1.9865117	29138.63382	498.153327	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3384	2.8352947	16668.61933	186.610974	9.6296870	2000-2009 –> 2010-2019	4.9031125	2.0678178	29377.28804	302.472789	6	13
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	7	13
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	8	16
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	9	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3384	3.0728284	17213.12223	20.966580	16.2207705	2000-2009 –> 2010-2019	5.3792525	2.3064241	30568.06302	156.557113	10	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1429	1.9790391	6020.22980	202.997585	10.7891085	1982-1999 –> 2000-2009	3.5105442	1.5315051	12466.56032	383.683798	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1429	1.9821927	6024.78039	190.434416	10.8760866	1982-1999 –> 2000-2009	3.5107598	1.5285671	12464.41709	362.970390	3	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1429	1.9776475	6018.21939	209.227475	10.7578009	1982-1999 –> 2000-2009	3.5142056	1.5365581	12476.03278	511.303598	1	4
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	4	9
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	5	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1429	2.2630978	6401.55374	67.564900	15.7430290	1982-1999 –> 2000-2009	3.8381051	1.5750073	12943.52350	99.752603	16	20
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	6	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1429	2.1439100	6246.92652	180.810124	11.1578365	1982-1999 –> 2000-2009	3.9009306	1.7570206	13170.12394	360.112403	7	22
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	8	28
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1429	2.1701038	6281.63326	88.003723	11.2425875	1982-1999 –> 2000-2009	3.9188793	1.7487755	13188.43356	255.828224	9	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2006	1.9370029	8359.28252	313.562110	16.1698509	2000-2009 –> 2010-2019	3.9160420	1.9790391	14379.51232	516.559695	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2006	1.9387622	8362.92491	345.265071	16.1726662	2000-2009 –> 2010-2019	3.9164097	1.9776475	14381.14429	554.492546	3	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2006	1.9358596	8356.91390	252.419802	16.1413910	2000-2009 –> 2010-2019	3.9180523	1.9821927	14381.69429	442.854218	1	4
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	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2006	2.0350249	8555.33964	170.507688	18.5032420	2000-2009 –> 2010-2019	4.2051287	2.1701038	14836.97290	258.511411	6	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2006	2.0390408	8563.24915	209.572038	18.6395643	2000-2009 –> 2010-2019	4.2149237	2.1758829	14852.48328	356.318054	8	18
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	11	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2006	2.0389985	8563.16586	161.132990	18.7318034	2000-2009 –> 2010-2019	4.2245844	2.1855859	14865.11652	294.118424	7	20
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2006	1.9717371	8428.58804	59.872798	18.8472876	2000-2009 –> 2010-2019	4.2348348	2.2630978	14830.14178	127.437698	4	20
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	14	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1215	1.3484656	4188.51126	623.433367	5.2601433	1982-1999 –> 2000-2009	2.5415405	1.1930749	8890.00945	930.355726	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1215	1.3488732	4189.24562	609.576884	5.1339742	1982-1999 –> 2000-2009	2.5430848	1.1942116	8893.54163	836.116596	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1215	1.3489136	4187.31854	50.015190	5.0798743	1982-1999 –> 2000-2009	2.5436321	1.1947185	8890.86116	81.374724	3	6
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	6	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1215	1.3532245	4197.07197	280.948642	5.2203968	1982-1999 –> 2000-2009	2.5547579	1.2015334	8919.32597	538.164867	4	11
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	5	19
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	7	12
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	8	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1215	1.3971529	4272.70136	71.993523	7.0935138	1982-1999 –> 2000-2009	2.6429276	1.2457747	9099.19066	134.432153	9	26
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	10	28
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2366	1.3766044	8240.85844	539.897054	10.4564505	2000-2009 –> 2010-2019	2.7250700	1.3484656	12429.36970	1163.330420	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2366	1.3872538	8277.32414	388.937543	10.5860919	2000-2009 –> 2010-2019	2.7404783	1.3532245	12474.39611	669.886185	6	10
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2366	1.3946749	8302.57061	524.703451	10.1012913	2000-2009 –> 2010-2019	2.7435481	1.3488732	12491.81623	1134.280335	8	10
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	4	11
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	10	15
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	13	19
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2366	1.4209574	8388.91469	75.813625	5.9670299	2000-2009 –> 2010-2019	2.8181102	1.3971529	12661.61605	147.807148	12	21
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	14	24
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2366	1.5110300	8679.74654	46.797200	3.8199071	2000-2009 –> 2010-2019	2.8599436	1.3489136	12867.06507	96.812389	16	19
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	17	25
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	699	0.4648215	924.66578	52.523659	2.4282261	1982-1999 –> 2000-2009	0.8117550	0.3469335	1472.09575	66.546011	1	2
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	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	699	0.5103330	1055.25297	72.503992	3.1378360	1982-1999 –> 2000-2009	0.9169267	0.4065937	1838.48340	107.084441	3	10
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	4	13
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	10	13
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	12	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	699	0.7149786	1524.64336	14.446721	4.2181651	1982-1999 –> 2000-2009	1.0823370	0.3673584	2155.07968	19.594763	13	18
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	14	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	699	0.5944516	1268.55401	37.357422	4.1642627	1982-1999 –> 2000-2009	1.1361988	0.5417472	2478.24428	53.193850	5	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	699	0.5985731	1278.21326	68.861659	4.1967186	1982-1999 –> 2000-2009	1.1429898	0.5444166	2495.20783	101.335731	6	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1084	0.5070906	1616.04457	15.393769	1.6921650	2000-2009 –> 2010-2019	0.9719121	0.4648215	2540.71035	67.917428	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1084	0.5288266	1707.03746	35.536156	1.6504304	2000-2009 –> 2010-2019	1.0391596	0.5103330	2762.29043	108.040148	2	5
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	3	5
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	4	8
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	5	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1084	0.6215917	2057.43573	15.737278	2.4876397	2000-2009 –> 2010-2019	1.2160433	0.5944516	3325.98974	53.094700	7	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1084	0.6242805	2066.79368	33.830393	2.5027145	2000-2009 –> 2010-2019	1.2228536	0.5985731	3345.00694	102.692051	8	14
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	9	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	1084	0.6258428	2072.21230	15.685784	2.5123768	2000-2009 –> 2010-2019	1.2286610	0.6028183	3360.30535	72.360825	11	19
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	12	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	935	0.4614792	1221.30983	304.789984	2.3417601	1982-1999 –> 2000-2009	0.7726624	0.3111832	1621.71384	719.555836	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	935	0.4607656	1218.41591	499.744610	2.3514902	1982-1999 –> 2000-2009	0.7731361	0.3123705	1624.66916	1139.335567	1	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	935	0.4610274	1219.47813	517.391593	2.3475406	1982-1999 –> 2000-2009	0.7733606	0.3123332	1625.54793	1236.689202	2	7
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	4	5
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	935	0.4723044	1262.66895	290.377497	2.7620814	1982-1999 –> 2000-2009	0.7847729	0.3124686	1667.40434	726.970139	5	14
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	7	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	935	0.5286493	1473.42098	289.432053	4.4596935	1982-1999 –> 2000-2009	0.8399421	0.3112927	1872.36554	704.197710	8	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	935	0.5293560	1475.91905	297.305983	4.5101042	1982-1999 –> 2000-2009	0.8417581	0.3124021	1880.32779	704.881299	9	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	935	0.5300688	1478.43528	297.601271	4.5503066	1982-1999 –> 2000-2009	0.8424202	0.3123514	1882.59479	865.012655	10	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	935	0.5145814	1422.98421	239.522947	2.6373399	1982-1999 –> 2000-2009	0.9616819	0.4471005	2378.03685	520.157598	6	31
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1295	0.2233787	-193.06541	443.377937	2.4937265	2000-2009 –> 2010-2019	0.6844061	0.4610274	1026.41272	960.769529	1	3
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1295	0.2239152	-186.85253	350.071602	2.4946826	2000-2009 –> 2010-2019	0.6846808	0.4607656	1031.56338	849.816212	3	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	1295	0.2273716	-147.17892	349.377268	2.4920473	2000-2009 –> 2010-2019	0.6888508	0.4614792	1074.13091	654.167252	6	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1295	0.2353929	-59.38223	330.348932	2.5035699	2000-2009 –> 2010-2019	0.7076973	0.4723044	1203.28672	620.726429	12	16
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	5	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1295	0.2242137	-185.40253	325.467836	2.5227950	2000-2009 –> 2010-2019	0.7535697	0.5293560	1290.51652	622.773819	4	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1295	0.2236154	-192.32307	243.802523	2.5186908	2000-2009 –> 2010-2019	0.7536841	0.5300688	1286.11221	541.403794	2	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1295	0.2276328	-146.20463	242.522315	2.5186728	2000-2009 –> 2010-2019	0.7562821	0.5286493	1327.21635	531.954368	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	1295	0.4091018	1372.13115	66.153999	1.5885582	2000-2009 –> 2010-2019	0.9236832	0.5145814	2795.11536	305.676946	30	35
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	10	23
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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3586	8.5265722	25561.56743	62.052122	114.2080119	1982-1999 –> 2000-2009	17.8151297	9.2885575	41705.79323	133.465071	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3586	8.4699515	25513.78289	62.235017	119.6939535	1982-1999 –> 2000-2009	17.8772090	9.4072575	41714.16011	131.974714	2	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3586	8.5690494	25595.20773	32.598598	103.4948456	1982-1999 –> 2000-2009	18.5126077	9.9435583	42038.75599	77.217967	4	9
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3586	9.1708323	26083.98029	82.813120	110.8009115	1982-1999 –> 2000-2009	19.0370623	9.8662300	42495.00547	185.695765	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3586	10.8447035	27284.35718	61.870041	120.0574108	1982-1999 –> 2000-2009	21.0687813	10.2240778	43850.92802	132.226659	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3586	10.8440455	27283.92202	62.233507	118.5174750	1982-1999 –> 2000-2009	21.1000180	10.2559725	43864.26608	131.960353	6	14
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	10	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3586	10.8592859	27293.99459	79.701095	118.5081127	1982-1999 –> 2000-2009	21.3136610	10.4543751	43959.06570	177.888862	9	18
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	3586	10.8447036	27282.35727	31.333849	120.0360958	1982-1999 –> 2000-2009	21.9848571	11.1401535	44226.38214	74.055141	8	18
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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5162	9.2434704	37622.84466	66.478641	111.8645180	2000-2009 –> 2010-2019	17.7134219	8.4699515	63136.62755	128.713658	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5162	9.2070419	37582.07739	74.937478	103.9281030	2000-2009 –> 2010-2019	17.7336141	8.5265722	63143.64482	136.989600	2	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5162	9.2536156	37632.16957	35.256181	117.5808966	2000-2009 –> 2010-2019	17.8226650	8.5690494	63227.37730	67.854779	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5162	10.0714653	38508.52831	106.518255	111.0047981	2000-2009 –> 2010-2019	19.2422976	9.1708323	64592.50861	189.331375	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5162	10.6859454	39117.94822	66.477811	117.2227574	2000-2009 –> 2010-2019	21.5299909	10.8440455	66401.87024	128.711318	7	13
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5162	10.6853612	39117.38377	74.654835	115.8141522	2000-2009 –> 2010-2019	21.5300647	10.8447035	66401.74095	136.524877	6	13
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ temp + aou + nitrate	5162	10.7279334	39156.43453	34.938508	129.8832433	2000-2009 –> 2010-2019	21.5726370	10.8447036	66438.79180	66.272357	8	16
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	10	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5162	11.0298094	39444.93189	102.199857	124.7411357	2000-2009 –> 2010-2019	21.8890953	10.8592859	66738.92648	181.900953	11	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2950	8.3844379	20931.36374	105.853970	42.0958072	1982-1999 –> 2000-2009	16.3025570	7.9181191	37583.56367	191.979185	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2950	8.5311944	21033.74066	24.827116	50.3421880	1982-1999 –> 2000-2009	16.5868800	8.0556856	37768.10114	45.521424	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2950	8.6585553	21121.16990	50.531102	55.5936611	1982-1999 –> 2000-2009	16.8175403	8.1589850	37916.30801	88.998388	3	6
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	9	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2950	10.2359531	22106.58473	105.725330	55.8471760	1982-1999 –> 2000-2009	18.7010466	8.4650934	39075.40807	191.517449	7	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2950	10.2622299	22121.71126	24.753919	64.3725771	1982-1999 –> 2000-2009	18.8439506	8.5817207	39155.80433	45.411796	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2950	10.3111730	22149.78293	50.253554	69.7810897	1982-1999 –> 2000-2009	18.9824963	8.6713233	39233.42187	88.659750	10	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	2950	9.9185100	21920.71330	105.234444	44.5834218	1982-1999 –> 2000-2009	19.0500517	9.1315418	39251.02390	184.386798	4	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2950	10.0754327	22013.32765	24.702219	53.1441405	1982-1999 –> 2000-2009	19.2924953	9.2170626	39388.10348	41.799655	5	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2950	10.1304171	22045.43807	44.236202	55.3041565	1982-1999 –> 2000-2009	19.3848817	9.2544645	39439.53090	64.997370	6	16
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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3020	9.8031454	22371.91665	65.640346	46.1711498	2000-2009 –> 2010-2019	18.1875833	8.3844379	43303.28039	171.494316	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3020	10.1754430	22597.05143	21.373594	55.6545370	2000-2009 –> 2010-2019	18.7066374	8.5311944	43630.79209	46.200710	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3020	10.5031359	22788.49891	40.748692	62.6555275	2000-2009 –> 2010-2019	19.1616912	8.6585553	43909.66880	91.279794	4	8
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	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3020	11.6967743	23436.63988	57.716250	53.7394256	2000-2009 –> 2010-2019	21.6152842	9.9185100	45357.35318	162.950694	8	14
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	6	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3020	11.6954728	23435.96779	65.606823	66.5089869	2000-2009 –> 2010-2019	21.9314259	10.2359531	45542.55253	171.332153	7	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3020	12.1115682	23647.12147	16.949024	62.7415101	2000-2009 –> 2010-2019	22.1870009	10.0754327	45660.44912	41.651243	10	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3020	12.0364533	23609.54525	21.369175	76.1209511	2000-2009 –> 2010-2019	22.2986832	10.2622299	45731.25652	46.123095	9	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2722	8.2571880	19231.44320	65.777252	37.1755956	1982-1999 –> 2000-2009	16.1665735	7.9093855	34016.32701	125.910490	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2722	8.2531934	19228.80888	54.764300	37.2097482	1982-1999 –> 2000-2009	16.2088545	7.9556611	34038.40411	106.831719	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2722	8.2456227	19223.81279	183.225396	37.2780317	1982-1999 –> 2000-2009	16.3219765	8.0763538	34097.18843	380.940835	1	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2722	8.3694608	19302.96643	38.743926	38.4463256	1982-1999 –> 2000-2009	17.0421127	8.6726519	34476.08971	69.973588	4	17
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	14	21
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	12	21
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	11	22
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2722	9.2270249	19834.01337	64.115685	33.7428094	1982-1999 –> 2000-2009	17.4197271	8.1927022	34765.97768	111.330033	28	32
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2722	8.6998346	19513.72842	60.924577	37.4843978	1982-1999 –> 2000-2009	17.4327254	8.7328908	34716.17260	111.497575	9	24
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2722	8.7043835	19516.57417	52.756897	37.4111122	1982-1999 –> 2000-2009	17.4467406	8.7423572	34723.60765	98.699756	10	26
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	2476	11.2756629	19037.52997	193.052509	35.7010570	2000-2009 –> 2010-2019	19.5212856	8.2456227	38261.34275	376.277905	3	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	2476	11.2747178	19037.11488	55.456807	35.6833478	2000-2009 –> 2010-2019	19.5279112	8.2531934	38265.92376	110.221107	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	2476	11.2743941	19036.97269	67.423710	35.6815928	2000-2009 –> 2010-2019	19.5315821	8.2571880	38268.41589	133.200962	1	4
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	2476	11.2878074	19040.86068	29.019079	36.0401563	2000-2009 –> 2010-2019	19.6572683	8.3694608	38343.82711	67.763005	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2476	11.2929068	19043.09729	23.288742	36.4228197	2000-2009 –> 2010-2019	19.6948567	8.4019499	38367.15565	54.497999	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate	2476	11.2931254	19043.19316	21.731599	36.3578681	2000-2009 –> 2010-2019	19.7187753	8.4256499	38382.58619	51.093445	6	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ sal + temp + nitrate	2476	11.2932810	19041.26136	21.552865	36.3929214	2000-2009 –> 2010-2019	19.7195248	8.4262438	38379.03810	50.678235	7	14
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	8	19
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	9	21
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	10	24
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3372	6.3390237	22037.63327	46.944738	23.7040926	1982-1999 –> 2000-2009	11.8631399	5.5241162	38968.19151	106.128407	1	2
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	2	6
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3372	6.3595586	22059.44473	83.816771	23.7016552	1982-1999 –> 2000-2009	11.8844640	5.5249055	38990.77558	179.345876	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3372	6.3604563	22060.39667	40.671338	23.7661112	1982-1999 –> 2000-2009	11.8901081	5.5296519	38996.37149	91.505600	4	11
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	7	12
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	6	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + nitrate + phosphate	3372	6.3812517	22080.41010	19.771628	23.7572831	1982-1999 –> 2000-2009	11.9063605	5.5251088	39009.93999	49.370754	9	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3372	6.3606374	22058.58867	24.547723	23.7465126	1982-1999 –> 2000-2009	11.9224558	5.5618185	39023.93130	57.635205	5	18
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	10	16
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	8	28
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3589	7.0719957	24233.58304	38.946099	26.2002300	2000-2009 –> 2010-2019	13.4110194	6.3390237	46271.21631	85.890837	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3589	7.1103181	24272.36407	33.339554	25.8846550	2000-2009 –> 2010-2019	13.4707744	6.3604563	46332.76074	74.010892	3	7
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3589	7.1597952	24328.90014	59.907036	25.3348274	2000-2009 –> 2010-2019	13.5193538	6.3595586	46388.34488	143.723806	7	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3589	7.0951721	24255.06188	25.813198	27.4478898	2000-2009 –> 2010-2019	13.5209101	6.4257380	46382.32397	60.307427	2	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3589	7.1354006	24295.63367	13.602817	26.0183777	2000-2009 –> 2010-2019	13.5639505	6.4285499	46425.84636	35.354512	4	16
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	11	18
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	12	18
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	15	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + phosphate + phosphate_star	3589	7.1384854	24296.73539	10.271611	26.5347951	2000-2009 –> 2010-2019	13.6061970	6.4677116	46465.90681	24.462130	5	24
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3589	7.1441497	24304.42721	24.997272	27.3670625	2000-2009 –> 2010-2019	13.6111708	6.4670211	46474.87863	58.182633	6	23
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4489	4.5566783	26369.21035	153.178507	15.3616933	1982-1999 –> 2000-2009	8.0798782	3.5231998	45506.33060	281.595003	1	2
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	2	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4489	4.5804750	26415.97493	33.760468	15.2136571	1982-1999 –> 2000-2009	8.1278489	3.5473738	45601.91809	90.013118	4	6
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	5	10
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	3	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4489	4.5868212	26428.40520	33.560906	15.2870515	1982-1999 –> 2000-2009	8.1401550	3.5533338	45626.33418	83.828044	6	9
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	7	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4489	4.6053849	26462.66743	108.832967	16.8204629	1982-1999 –> 2000-2009	8.1804999	3.5751150	45702.22964	207.533940	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	4489	4.6308132	26512.10236	77.403325	14.3121942	1982-1999 –> 2000-2009	8.2167722	3.5859591	45773.28888	121.086766	10	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4489	4.6175096	26486.27299	18.142976	15.9939184	1982-1999 –> 2000-2009	8.2266938	3.6091841	45793.55380	45.018861	9	23
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4503	4.9967314	27281.66886	104.756760	15.9792517	2000-2009 –> 2010-2019	9.5534097	4.5566783	53650.87921	257.935267	1	2
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	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4503	5.0004684	27288.40186	33.245478	15.8011615	2000-2009 –> 2010-2019	9.5809434	4.5804750	53704.37679	67.005946	2	6
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	8	11
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	9	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4503	5.0141726	27313.04976	29.010964	15.8900270	2000-2009 –> 2010-2019	9.6009938	4.5868212	53741.45496	62.571871	7	13
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	13	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4503	5.0041930	27293.10754	75.492866	16.5162430	2000-2009 –> 2010-2019	9.6095779	4.6053849	53755.77498	184.325833	4	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4503	5.0126181	27308.25734	16.792489	16.4893441	2000-2009 –> 2010-2019	9.6511160	4.6384979	53835.24615	43.410064	5	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + nitrate + phosphate	4503	5.0008176	27287.03072	9.821048	15.7264220	2000-2009 –> 2010-2019	9.6624469	4.6616294	53858.68016	26.210841	3	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5910	3.3720805	31153.41703	367.965082	15.6675736	1982-1999 –> 2000-2009	6.4906211	3.1185406	53437.93468	580.501740	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5910	3.4049760	31268.16520	66.096713	16.4021330	1982-1999 –> 2000-2009	6.5747894	3.1698135	53694.75465	112.732530	2	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5910	3.4127140	31294.99646	66.561360	16.5259768	1982-1999 –> 2000-2009	6.5864214	3.1737074	53732.28151	119.698309	3	8
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	6	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5910	3.5110592	31628.80143	12.545437	15.4217746	1982-1999 –> 2000-2009	6.6962677	3.1852085	54095.60052	30.085891	4	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5910	3.5171575	31649.31362	258.452198	13.9312735	1982-1999 –> 2000-2009	6.7103750	3.1932175	54137.99104	403.320661	5	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	5910	3.5752689	31843.01099	98.527566	14.9170268	1982-1999 –> 2000-2009	6.7455998	3.1703309	54269.02242	137.391217	8	12
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	10	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5910	3.5937722	31904.02571	7.858574	15.3245142	1982-1999 –> 2000-2009	6.7979293	3.2041572	54422.49865	20.117520	11	23
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5910	3.5964458	31912.81618	8.366300	15.3864871	1982-1999 –> 2000-2009	6.8026254	3.2061796	54436.78633	20.848672	12	26
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5781	3.4732834	30815.61780	279.807614	13.8308323	2000-2009 –> 2010-2019	6.8453639	3.3720805	61969.03483	647.772696	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5781	3.4880538	30864.68197	44.581021	14.0416656	2000-2009 –> 2010-2019	6.8930298	3.4049760	62132.84717	110.677734	8	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5781	3.4817636	30843.81250	44.479077	14.1252827	2000-2009 –> 2010-2019	6.8944776	3.4127140	62138.80896	111.040438	5	8
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	3	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5781	3.5157614	30954.16261	13.418222	13.8412771	2000-2009 –> 2010-2019	7.0268206	3.5110592	62582.96404	25.963659	15	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	5781	3.4766361	30824.77319	54.117078	13.4744378	2000-2009 –> 2010-2019	7.0519051	3.5752689	62667.78418	152.644643	2	10
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	4	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5781	3.4932005	30879.72921	7.563046	13.4612411	2000-2009 –> 2010-2019	7.0869726	3.5937722	62783.75492	15.421620	10	21
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5781	3.4961042	30889.33625	8.027758	13.4854319	2000-2009 –> 2010-2019	7.0925501	3.5964458	62802.15242	16.394058	11	23
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	7	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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	6531	1.9828905	27489.84057	210.387182	13.0951294	1982-1999 –> 2000-2009	4.1932162	2.2103257	48761.91425	334.320292	3	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	6531	2.0052285	27634.16606	94.141191	12.8869718	1982-1999 –> 2000-2009	4.2254425	2.2202140	48947.13605	143.796398	6	13
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	6531	1.9946538	27567.10073	115.947774	13.3570473	1982-1999 –> 2000-2009	4.2349136	2.2402598	48968.44784	153.925988	4	13
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	10	12
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	6531	2.0004400	27604.93713	108.948803	13.4401661	1982-1999 –> 2000-2009	4.2488850	2.2484450	49041.33190	144.852353	5	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6531	2.0171983	27711.90540	4.736851	13.1477440	1982-1999 –> 2000-2009	4.2654371	2.2482388	49145.41884	9.832699	7	18
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	11	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6531	2.0197986	27728.73274	3.830519	13.1872497	1982-1999 –> 2000-2009	4.2734631	2.2536645	49185.41016	8.773891	8	23
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]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7011	2.2125873	31046.10346	240.271909	13.3135264	2000-2009 –> 2010-2019	4.1954778	1.9828905	58535.94403	450.659091	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7011	2.2304520	31158.86429	89.658647	13.2792456	2000-2009 –> 2010-2019	4.2251058	1.9946538	58725.96502	205.606421	5	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7011	2.2199955	31090.97354	84.879012	12.6413602	2000-2009 –> 2010-2019	4.2252239	2.0052285	58725.13960	179.020203	4	9
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7011	2.2361576	31194.68761	88.858472	13.3012793	2000-2009 –> 2010-2019	4.2365977	2.0004400	58799.62473	197.807275	6	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7011	2.2372295	31199.40733	6.201410	12.9524374	2000-2009 –> 2010-2019	4.2544278	2.0171983	58911.31273	10.938261	7	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7011	2.2405193	31220.01129	4.941100	12.9999034	2000-2009 –> 2010-2019	4.2603180	2.0197986	58948.74403	8.771619	8	15
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	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7011	2.2620927	31354.37958	6.590319	12.4901392	2000-2009 –> 2010-2019	4.3246366	2.0625439	59356.66066	11.287596	9	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7011	2.2659668	31378.37351	239.399279	13.5379882	2000-2009 –> 2010-2019	4.4584180	2.1924512	60178.48237	440.451411	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	3167	1.0447782	9279.01539	805.196890	5.4852430	1982-1999 –> 2000-2009	2.3833543	1.3385761	17199.15411	1347.356375	1	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3167	1.0447853	9277.05811	777.983700	5.4880823	1982-1999 –> 2000-2009	2.3835199	1.3387346	17195.74438	1284.628600	2	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	3167	1.0480679	9298.92766	734.455678	5.5142420	1982-1999 –> 2000-2009	2.3861807	1.3381128	17217.46649	1244.050992	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3167	1.0481525	9297.43889	715.129053	5.5046023	1982-1999 –> 2000-2009	2.3865079	1.3383554	17214.81570	1193.239468	4	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	3167	1.0485924	9302.09658	795.067765	5.5054939	1982-1999 –> 2000-2009	2.3865202	1.3379278	17219.99638	1327.219049	5	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3167	1.0486954	9300.71854	767.704476	5.4940557	1982-1999 –> 2000-2009	2.3869953	1.3383000	17217.90379	1263.411207	6	9
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	9	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3167	1.0517457	9319.11569	102.419455	5.3488103	1982-1999 –> 2000-2009	2.4393218	1.3875761	17403.42456	189.841944	7	25
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3167	1.0517497	9317.13940	100.835398	5.3473618	1982-1999 –> 2000-2009	2.4399294	1.3881798	17401.45862	185.150496	8	27
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	10	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3695	1.2017263	11855.93538	983.075312	12.9230601	2000-2009 –> 2010-2019	2.2465116	1.0447853	21132.99349	1761.059012	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3695	1.2027670	11862.33273	977.312407	13.4689615	2000-2009 –> 2010-2019	2.2509195	1.0481525	21159.77162	1692.441461	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3695	1.2025878	11861.23158	969.277188	13.4406245	2000-2009 –> 2010-2019	2.2512832	1.0486954	21161.95012	1736.981664	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3695	1.2044810	11872.85631	160.266770	12.6222622	2000-2009 –> 2010-2019	2.2562267	1.0517457	21191.97200	262.686225	4	8
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	3695	1.2047026	11872.21557	151.035911	12.6657327	2000-2009 –> 2010-2019	2.2564522	1.0517497	21189.35497	251.871309	5	10
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	6	12
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	7	14
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	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	3695	1.3086031	12485.57170	148.515044	8.6572070	2000-2009 –> 2010-2019	2.4479844	1.1393814	22311.62329	244.396240	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	3695	1.3107309	12495.57855	143.353885	8.4595599	2000-2009 –> 2010-2019	2.4544139	1.1436829	22343.49806	238.858085	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	4172	1.0014420	11865.64659	567.778492	10.0921787	1982-1999 –> 2000-2009	2.2044363	1.2029943	21393.10497	994.142214	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	4172	1.0046468	11892.30620	458.058014	9.8742700	1982-1999 –> 2000-2009	2.2060190	1.2013722	21411.76056	854.899455	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	4172	1.0051969	11896.87356	495.452444	9.8309196	1982-1999 –> 2000-2009	2.2066444	1.2014475	21416.69981	928.824825	4	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4172	1.0117317	11948.94262	565.903305	10.3753022	1982-1999 –> 2000-2009	2.2172852	1.2055536	21487.00722	909.861027	8	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	4172	1.0131154	11960.34649	4.558058	9.3841186	1982-1999 –> 2000-2009	2.2195849	1.2064696	21502.91659	11.176038	9	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4172	1.0182223	12002.30094	454.054061	10.1922170	1982-1999 –> 2000-2009	2.2244215	1.2061992	21543.54180	779.726243	12	18
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4172	1.0191644	12010.01780	489.323682	10.1408824	1982-1999 –> 2000-2009	2.2251320	1.2059677	21550.11968	844.119588	13	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + nitrate + phosphate_star	4172	1.0250814	12056.32101	4.174846	9.7295735	1982-1999 –> 2000-2009	2.2430598	1.2179784	21653.20987	7.929224	16	24
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4172	1.0061359	11902.66460	4.553396	9.9934212	1982-1999 –> 2000-2009	2.2490089	1.2428730	21621.57688	11.192505	6	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4172	1.0056983	11899.03477	4.316007	10.0564326	1982-1999 –> 2000-2009	2.2508878	1.2451895	21628.99317	10.589494	5	15
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	5181	0.8675764	13243.10164	148.687975	4.2861720	2000-2009 –> 2010-2019	1.8722995	1.0047231	25134.04115	222.429638	3	5
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	7
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5181	0.8698578	13272.31349	659.134996	4.3641946	2000-2009 –> 2010-2019	1.8745046	1.0046468	25164.61969	1117.193010	5	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5181	0.8698932	13270.73568	2.591316	4.3833111	2000-2009 –> 2010-2019	1.8755915	1.0056983	25169.77046	6.907323	6	10
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5181	0.8704505	13279.37118	693.515233	4.3930565	2000-2009 –> 2010-2019	1.8756473	1.0051969	25176.24474	1188.967677	7	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5181	0.8704817	13277.74272	2.983618	4.4098990	2000-2009 –> 2010-2019	1.8766176	1.0061359	25180.40732	7.537014	8	13
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	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	5181	0.8696701	13266.07803	143.347564	4.3615665	2000-2009 –> 2010-2019	1.8861827	1.0165126	25252.35713	215.963634	4	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5181	0.8733613	13311.96421	658.376502	4.3443656	2000-2009 –> 2010-2019	1.8915835	1.0182223	25314.26515	1112.430563	9	19
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	5181	0.8733768	13310.14819	2.463585	4.3538576	2000-2009 –> 2010-2019	1.8934692	1.0200924	25325.76020	5.934724	10	22
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7839	1.0096532	22410.73536	662.043260	7.0191090	1982-1999 –> 2000-2009	2.1246640	1.1150108	40028.07729	994.250669	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7839	1.0166454	22518.93614	469.682294	7.0592081	1982-1999 –> 2000-2009	2.1335875	1.1169422	40156.21859	829.291882	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7839	1.0176664	22534.67344	439.648675	7.0526893	1982-1999 –> 2000-2009	2.1358397	1.1181734	40184.64947	753.477781	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7839	1.0242477	22633.73739	15.834962	6.8631213	1982-1999 –> 2000-2009	2.2250318	1.2007841	41102.98247	26.997324	4	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7839	1.1283094	24150.77286	567.438674	8.5425699	1982-1999 –> 2000-2009	2.3065587	1.1782493	42401.73313	887.009067	8	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7839	1.1472014	24411.10576	428.309234	8.6124280	1982-1999 –> 2000-2009	2.3396285	1.1924271	42799.88148	778.197442	11	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7839	1.1460845	24395.83493	396.967612	8.5366001	1982-1999 –> 2000-2009	2.3461019	1.2000174	42857.72113	701.809299	10	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7839	1.0584690	23148.99820	15.609832	6.4233802	1982-1999 –> 2000-2009	2.3772280	1.3187590	42698.04302	27.703419	6	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7839	1.0584025	23148.01303	11.798426	6.4168539	1982-1999 –> 2000-2009	2.3814506	1.3230481	42734.47104	22.122384	5	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	7839	1.0587524	23153.19522	114.797957	6.5921848	1982-1999 –> 2000-2009	2.3983046	1.3395522	42882.49317	198.848937	7	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	9093	0.6936937	19167.74459	764.194384	7.0424930	2000-2009 –> 2010-2019	1.7033469	1.0096532	41578.47994	1426.237644	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	9093	0.6963573	19237.44016	616.087424	7.2469722	2000-2009 –> 2010-2019	1.7130026	1.0166454	41756.37631	1085.769718	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9093	0.6964785	19240.60740	573.290891	7.2381798	2000-2009 –> 2010-2019	1.7141449	1.0176664	41775.28084	1012.939566	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	9093	0.6969388	19250.62133	8.689577	7.0880384	2000-2009 –> 2010-2019	1.7211865	1.0242477	41884.35872	24.524539	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	9093	0.7165113	19754.30912	8.733984	6.1533447	2000-2009 –> 2010-2019	1.7749804	1.0584690	42903.30733	24.343815	5	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9093	0.7167666	19760.78610	6.471216	6.0787217	2000-2009 –> 2010-2019	1.7751691	1.0584025	42908.79913	18.269642	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	9093	0.7178903	19789.27502	140.123744	5.8226115	2000-2009 –> 2010-2019	1.7766427	1.0587524	42942.47024	254.921702	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate	9093	0.8201517	22211.15216	728.657515	7.6235523	2000-2009 –> 2010-2019	1.9484611	1.1283094	46361.92502	1296.096189	8	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	9093	0.8292897	22410.65658	138.139639	6.7807099	2000-2009 –> 2010-2019	1.9724605	1.1431708	46764.58204	246.838403	9	18
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	9093	0.8321233	22474.69005	555.664730	7.6305336	2000-2009 –> 2010-2019	1.9782078	1.1460845	46870.52499	952.632342	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	5262	0.6729286	10778.18409	566.905661	7.3449750	1982-1999 –> 2000-2009	1.4975624	0.8246338	20081.28941	922.475363	4	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	5262	0.6735740	10788.27273	607.025237	7.3948013	1982-1999 –> 2000-2009	1.4986200	0.8250459	20095.16350	988.728722	6	8
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	5262	0.6711055	10749.63362	781.616694	7.1888448	1982-1999 –> 2000-2009	1.4995817	0.8284762	20087.95719	1159.904400	1	4
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	3	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	5262	0.6850629	10964.26213	23.225979	7.4258056	1982-1999 –> 2000-2009	1.5147434	0.8296806	20311.59133	48.323324	9	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5262	0.6749441	10807.65748	22.341186	7.3940104	1982-1999 –> 2000-2009	1.5251669	0.8502228	20340.27808	45.979732	8	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5262	0.6743335	10798.13298	19.864863	7.3602419	1982-1999 –> 2000-2009	1.5261119	0.8517783	20344.60137	40.286304	7	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	5262	0.6715610	10754.77481	104.937953	7.1883238	1982-1999 –> 2000-2009	1.5310294	0.8594683	20369.33393	209.633243	2	14
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	10	17
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	12	18
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7396	0.4637467	9636.51685	765.340707	5.0561732	2000-2009 –> 2010-2019	1.1348522	0.6711055	20386.15047	1546.957401	3	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7396	0.4636969	9634.93006	625.693435	5.1219988	2000-2009 –> 2010-2019	1.1366255	0.6729286	20413.11415	1192.599096	2	6
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	4	7
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7396	0.4636950	9634.86815	657.667832	5.2009316	2000-2009 –> 2010-2019	1.1372690	0.6735740	20423.14089	1264.693069	1	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	7396	0.4849109	10294.63479	72.644796	6.1701678	2000-2009 –> 2010-2019	1.1564719	0.6715610	21049.40959	177.582749	6	8
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	5	15
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	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7396	0.4873785	10369.71829	7.173718	6.3511594	2000-2009 –> 2010-2019	1.1617121	0.6743335	21167.85127	27.038581	8	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7396	0.4879838	10388.07755	8.625091	6.3911475	2000-2009 –> 2010-2019	1.1629279	0.6749441	21195.73503	30.966277	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + nitrate + phosphate_star	7396	0.5166857	11233.47797	9.104201	6.8125542	2000-2009 –> 2010-2019	1.2017486	0.6850629	22197.74009	32.330180	13	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	7920	0.6788995	16355.43673	476.559067	12.4582061	1982-1999 –> 2000-2009	1.2566631	0.5777636	28730.11944	658.972290	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	7920	0.6784997	16346.10681	417.088135	12.3781591	1982-1999 –> 2000-2009	1.2566961	0.5781963	28731.42286	577.546625	1	3
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	4	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	7920	0.6855604	16510.09063	440.791188	12.7050828	1982-1999 –> 2000-2009	1.2651446	0.5795842	28929.45464	610.521301	5	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	7920	0.6790043	16355.88189	35.682230	12.5045274	1982-1999 –> 2000-2009	1.2789752	0.5999709	29264.21190	71.675985	3	9
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	6	11
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	7	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	7920	0.7365656	17644.79554	40.112652	12.9020151	1982-1999 –> 2000-2009	1.3715543	0.6349887	31358.74954	80.926334	8	16
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	9	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7920	0.7448907	17822.82454	7.683677	13.1148849	1982-1999 –> 2000-2009	1.3860786	0.6411879	31674.75696	15.804395	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate_star	9857	0.4471915	12121.75246	306.642945	4.3171947	2000-2009 –> 2010-2019	1.1256913	0.6784997	28467.85928	723.731080	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	9857	0.4482444	12168.11201	316.186822	4.4740392	2000-2009 –> 2010-2019	1.1271439	0.6788995	28523.54875	792.745889	2	4
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	3	7
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	9857	0.4509925	12288.60759	316.492124	4.7887897	2000-2009 –> 2010-2019	1.1365529	0.6855604	28798.69822	757.283311	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	9857	0.4729234	13222.68033	34.116000	5.5489864	2000-2009 –> 2010-2019	1.1519277	0.6790043	29578.56223	69.798230	6	9
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	5	12
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	7	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	9857	0.6514898	19537.63184	35.733370	6.8527497	2000-2009 –> 2010-2019	1.3880554	0.7365656	37182.42738	75.846021	8	16
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	9	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	9857	0.6564400	19686.85941	4.634602	7.1156660	2000-2009 –> 2010-2019	1.4013307	0.7448907	37509.68396	12.318279	10	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + nitrate + phosphate + phosphate_star	1127	0.4855448	1583.80933	433.689085	1.5130851	1982-1999 –> 2000-2009	0.7601082	0.2745634	1896.78981	1402.161055	1	3
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	4	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + phosphate	1127	0.4859750	1585.80520	438.405292	1.5180327	1982-1999 –> 2000-2009	0.7608250	0.2748501	1901.25479	1414.325155	3	6
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	9	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + nitrate + phosphate	1127	0.4958485	1629.14075	359.413198	1.5335098	1982-1999 –> 2000-2009	0.7778049	0.2819563	2002.98609	770.203335	11	15
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	7	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1127	0.4859614	1583.74230	388.524079	1.4962313	1982-1999 –> 2000-2009	0.7905355	0.3045741	2140.15369	1349.908329	2	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1127	0.4864229	1585.88185	393.971457	1.5008060	1982-1999 –> 2000-2009	0.7914692	0.3050463	2145.95813	1359.633660	6	14
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	10	20
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	5	16
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	12	13
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + nitrate + phosphate	1619	0.3172157	886.73742	257.942704	1.4202336	2000-2009 –> 2010-2019	0.8155135	0.4982978	2524.98467	528.591859	1	3
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	13	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate	1619	0.3178522	895.22855	92.959534	1.5909499	2000-2009 –> 2010-2019	1.0843409	0.7664887	3506.09784	128.889895	2	6
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	4	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1619	0.3179043	895.75894	65.306945	1.5951202	2000-2009 –> 2010-2019	1.0862957	0.7683915	3512.21665	90.092616	3	10
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	6	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1619	0.3179923	896.65518	64.884124	1.6019846	2000-2009 –> 2010-2019	1.0942737	0.7762814	3536.13917	92.223355	5	14
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	20	26
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ temp + aou + phosphate	1619	0.3200020	915.05493	12.528353	1.6134117	2000-2009 –> 2010-2019	1.1066719	0.7866699	3582.50287	40.433238	10	21
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + aou + nitrate	56	0.0013694	-569.53494	36.351364	0.0033795	1982-1999 –> 2000-2009	0.6501038	0.6487343	-269.59022	559.681207	12	13
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	3
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate_star	56	0.0015096	-558.61891	12.336862	0.0035473	1982-1999 –> 2000-2009	0.6945544	0.6930448	-239.24922	282.484979	15	18
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	20	24
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + nitrate	56	0.0008008	-629.62571	5.582700	0.0022026	1982-1999 –> 2000-2009	0.7663105	0.7655097	-281.01853	213.863885	2	7
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	3	9
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ temp + nitrate + phosphate_star	56	0.0008934	-617.37129	41.515703	0.0019575	1982-1999 –> 2000-2009	0.7829323	0.7820389	-262.48349	727.882269	7	15
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + aou	56	0.0035132	-464.01711	16.627819	0.0078569	1982-1999 –> 2000-2009	0.7831498	0.7796366	-110.03382	391.574302	17	24
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + temp + phosphate	56	0.0009699	-608.17550	6.220332	0.0027957	1982-1999 –> 2000-2009	0.8080737	0.8071039	-244.01263	188.389952	9	18
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	10	21

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	9.5882166	2490.5132
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	8.8608406	2598.9164
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	8.0519239	7167.9707
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	9.1071988	8140.2122
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.4378513	6867.3685
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	6.7958500	6744.6693
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	6.4016742	10214.4957
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	6.5823406	9859.8527
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.1184612	13423.1105
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	5.9762668	11691.8226
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.1127030	16677.8210
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	6.8379901	17285.7775
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	5.5762657	22366.1964
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.4087402	25251.5570
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	5.8983891	13111.7650
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	6.8498238	15634.5620
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	8.6696269	43943.1855
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.8734130	52521.1174
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	4.1594508	27111.3618
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	4.9096265	29375.5122
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	3.7425364	12872.2849
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	4.1151369	14699.1085
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	2.5738618	8953.4873
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	2.7913611	12619.4141
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.0038587	2022.2284
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.1417516	3081.2907
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	0.8200346	1803.9121
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	0.7672051	1433.4130
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	19.6766743	42881.5397
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	19.7734449	64903.5318
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	18.2636859	38787.2271
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	20.4259769	44643.5551
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	16.9536900	34459.6740
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	19.7482556	38401.0603
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	11.9006273	39003.2555
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	13.5469108	46408.6779
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	8.1509968	45644.9870
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	9.6026977	53742.5101
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.6832658	54055.9538
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.0051499	62509.0498
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	4.2140487	48911.8432
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	4.2624618	58957.7271
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	2.4071566	17309.1485
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	2.3304735	21624.5740
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	2.2246480	21520.8931
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	1.8798253	25201.6754
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	2.2768395	41784.6271
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	1.8077602	43574.6105
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	1.5191044	20314.5282
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	1.1544988	20918.9444
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	1.3046506	29832.4890
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	1.2288376	31927.3042
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	0.7800206	2048.7128
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.0095558	3247.5034
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	0.7481223	-226.1588

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
6528618	Donghe-Zhu	2021-07-31
f50925e	Donghe-Zhu	2021-07-31
f4de2f3	Donghe-Zhu	2021-07-30
43bc7b4	Donghe-Zhu	2021-07-30
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ec68363	Donghe-Zhu	2021-07-28
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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
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a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
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0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
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c6e60fe	Donghe-Zhu	2021-03-01
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799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
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efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
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adbc9bc	Donghe-Zhu	2021-02-27
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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
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	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	8	6	7	6
(26,26.5]	8	10	4	6	5	8
(26.5,26.75]	7	10	3	7	6	6
(26.75,27]	8	6	4	5	8	5
(27,27.25]	7	8	6	5	10	6
(27.25,27.5]	5	8	5	8	10	6
(27.5,27.75]	7	10	5	6	10	5
(27.75,27.85]	5	10	9	5	8	6
(27.85,27.95]	7	10	6	5	10	5
(27.95,28.05]	6	10	6	6	5	8
(28.05,28.1]	5	10	7	5	9	6
(28.1,28.15]	6	10	4	6	10	5
(28.15,28.2]	7	8	1	6	7	5
(28.2, Inf]	6	10	7	7	6	8
total	91.00	130.00	75.00	83.00	111.00	85.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	8	10	7	6	7	6
(26,26.5]	8	10	4	6	5	8
(26.5,26.75]	7	10	3	7	6	6
(26.75,27]	8	6	5	4	8	5
(27,27.25]	6	10	5	5	10	6
(27.25,27.5]	6	10	4	6	10	5
(27.5,27.75]	5	10	7	5	10	6
(27.75,27.85]	6	10	9	7	6	5
(27.85,27.95]	5	10	7	6	10	5
(27.95,28.05]	7	10	7	7	6	7
(28.05,28.1]	7	10	6	6	7	7
(28.1,28.15]	6	10	4	6	10	5
(28.15,28.2]	6	5	4	7	10	5
(28.2, Inf]	6	9	7	7	6	8
total	91.00	130.00	79.00	85.00	111.00	84.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	10	6	6	5	8
(26,26.5]	7	7	7	7	6	9
(26.5,26.75]	5	8	6	8	9	7
(26.75,27]	6	10	6	4	10	5
(27,27.25]	7	9	7	6	8	6
(27.25,27.5]	7	6	7	5	9	8
(27.5,27.75]	8	5	8	8	8	6
(27.75,27.85]	8	9	6	6	5	8
(27.85,27.95]	5	8	5	8	6	10
(27.95,28.05]	6	7	6	7	7	10
(28.05,28.1]	6	7	6	7	10	7
(28.1,28.2]	8	7	6	7	10	6
(28.2,28.3]	5	10	10	6	6	5
(28.3, Inf]	5	6	2	2	7	6
total	91.00	109.00	88.00	87.00	106.00	101.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	8	10	6	6	5	8
(26,26.5]	9	7	7	7	7	7
(26.5,26.75]	5	10	5	5	10	7
(26.75,27]	5	7	7	8	8	7
(27,27.25]	6	10	8	6	7	6
(27.25,27.5]	6	6	7	6	10	7
(27.5,27.75]	7	5	7	7	8	8
(27.75,27.85]	9	6	7	5	3	7
(27.85,27.95]	8	3	6	8	6	8
(27.95,28.05]	7	6	6	6	7	10
(28.05,28.1]	7	6	6	6	10	7
(28.1,28.2]	8	7	6	7	10	6
(28.2,28.3]	6	3	9	4	6	5
total	91.00	86.00	87.00	81.00	97.00	93.00

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
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
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