eMLR - model fitting

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Last updated: 2021-07-30

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: bdd376e

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/README
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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	0f6e960	Donghe-Zhu	2021-07-30	Build site.
html	fe067ea	Donghe-Zhu	2021-07-30	Build site.
html	fbca39a	Donghe-Zhu	2021-07-30	Build site.
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html	68bce3f	Donghe-Zhu	2021-07-30	Build site.
html	400c457	Donghe-Zhu	2021-07-29	Build site.
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html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
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html	ec68363	Donghe-Zhu	2021-07-28	Build site.
html	d3018f6	Donghe-Zhu	2021-07-28	Build site.
html	b8ba2c4	Donghe-Zhu	2021-07-28	Build site.
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html	a4ddd84	Donghe-Zhu	2021-07-27	Build site.
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html	8623898	Donghe-Zhu	2021-07-27	Build site.
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html	0d0b48d	Donghe-Zhu	2021-07-27	Build site.
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html	d0d97c6	Donghe-Zhu	2021-07-27	Build site.
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html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
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html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
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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.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
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html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
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html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
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html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
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html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
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html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
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html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
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html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
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html	7397e53	Donghe-Zhu	2021-07-05	Build site.
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html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
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.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
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html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
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.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
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.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
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html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
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html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
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html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
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html	1914a11	Donghe-Zhu	2021-03-24	Build site.
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html	8be810e	Donghe-Zhu	2021-03-23	Build site.
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html	b3348a5	Donghe-Zhu	2021-03-11	Build site.
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html	1c24ff7	Donghe-Zhu	2021-03-10	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, aou, nitrate, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
lm_rm_si <- lm_all %>%
  filter(str_detect(lm_coeff, "silicate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "silicate_star")) %>%
  filter(str_detect(lm_coeff_filter, "silicate") &
           str_detect(lm_coeff_filter, "nitrate")) %>%
  select(-lm_coeff_filter)

lm_rm_ph <- lm_all %>%
  filter(str_detect(lm_coeff, "phosphate_star")) %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(str_detect(lm_coeff_filter, "phosphate") &
           str_detect(lm_coeff_filter, "oxygen")) %>%
  select(-lm_coeff_filter)

lm_rm <- bind_rows(lm_rm_ph, lm_rm_si) %>%
  unique()

lm_all <- anti_join(lm_all, lm_rm)

# remove temp sal predictor combination
# lm_all <- lm_all %>%
# # filter(!(
# #   str_detect(lm_coeff, "temp") &
# #     str_detect(lm_coeff, "phosphate_star")
# # )) %>%
# mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
# filter(!(str_detect(lm_coeff_filter, "nitrate") &
#            str_detect(lm_coeff_filter, "phosphate")
# )) %>%
# filter(!(
#   str_detect(lm_coeff_filter, "temp") &
#     str_detect(lm_coeff_filter, "sal")
# )) %>%
# # filter(!(
# #   str_detect(lm_coeff_filter, "oxygen") &
# #     str_detect(lm_coeff_filter, "aou")
# # )) %>%
# select(-lm_coeff_filter)

# remove helper objects
rm(
  i_gamma_slab,
  i_era,
  i_basin,
  GLODAP_basin_era,
  GLODAP_basin_era_slab,
  lm_full,
  lm_rm_ph,
  lm_rm_si,
  lm_rm_o2,
  lm_rm
)

# lm_full <- lm(paste(
#   params_local$MLR_target,
#   paste(params_local$MLR_predictors, collapse = " + "),
#   sep = " ~ "
# ),
# data = GLODAP_basin_era_slab)
# 
# lm_full <-
#   loess(
#     cstar_tref ~ sal + temp + aou + phosphate,
#     span = 0.1,
#     degree = 1,
#     data = GLODAP_basin_era_slab
#   )

3 Apply predictor threshold

Select combinations with a total number of predictors in the range:

• Minimum: 2
  
• Maximum: 5

lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

• 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 ~ aou + nitrate + silicate + phosphate + phosphate_star	477	5.0145913	2905.851	373.422189	16.947335	1982-1999 –> 2000-2009	9.209513	4.1949219	7079.253	608.695850	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	477	5.0494179	2912.454	233.050053	19.441929	1982-1999 –> 2000-2009	9.565555	4.5161373	7193.430	363.480981	2	4
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	477	5.1037370	2920.662	201.817646	18.960116	1982-1999 –> 2000-2009	9.637290	4.5335532	7205.250	331.630034	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	477	5.7618537	3038.369	196.375885	19.459024	1982-1999 –> 2000-2009	10.511800	4.7499467	7392.940	351.420586	4	8
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	477	5.8151311	3045.149	136.604666	18.690218	1982-1999 –> 2000-2009	10.751582	4.9364508	7453.873	253.505348	5	10
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	477	6.0591746	3084.369	98.789090	19.343155	1982-1999 –> 2000-2009	11.576583	5.5174088	7655.311	199.485768	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	477	6.2547629	3112.677	78.369715	17.681696	1982-1999 –> 2000-2009	12.239684	5.9849208	7800.206	162.178985	7	14
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	477	7.7503237	3321.206	351.465184	28.916082	1982-1999 –> 2000-2009	15.870145	8.1198216	8457.520	547.455243	8	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	477	8.2518819	3379.028	207.021005	31.618321	1982-1999 –> 2000-2009	16.935725	8.6838428	8611.255	316.414769	9	21
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	477	8.8944643	3452.567	130.366097	23.566048	1982-1999 –> 2000-2009	17.133967	8.2395031	8610.214	212.528831	10	19
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	589	5.0249301	3587.286	235.825161	25.049117	2000-2009 –> 2010-2019	10.039521	5.0145913	6493.137	609.247349	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	589	5.4470619	3682.310	211.382529	38.396342	2000-2009 –> 2010-2019	10.496480	5.0494179	6594.763	444.432582	4	6
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	589	5.4601459	3683.136	194.424362	36.898190	2000-2009 –> 2010-2019	10.563883	5.1037370	6603.797	396.242008	5	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	589	5.1792566	3622.921	214.164312	30.217499	2000-2009 –> 2010-2019	10.941110	5.7618537	6661.290	410.540197	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	589	5.1848436	3622.191	148.000924	29.239812	2000-2009 –> 2010-2019	10.999975	5.8151311	6667.340	284.605591	3	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	589	5.6129124	3715.642	157.945569	40.806464	2000-2009 –> 2010-2019	11.672087	6.0591746	6800.010	256.734659	6	12
Atlantic	(-Inf,26]	3	cstar_tref ~ aou + nitrate + phosphate_star	589	5.6136958	3713.806	108.056040	41.263689	2000-2009 –> 2010-2019	11.868459	6.2547629	6826.483	186.425755	7	14
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	589	6.6260596	3913.120	167.502446	20.747923	2000-2009 –> 2010-2019	14.376383	7.7503237	7234.326	518.967630	8	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + nitrate + phosphate	589	7.5779950	4069.253	147.188155	31.053783	2000-2009 –> 2010-2019	15.829877	8.2518819	7448.281	354.209160	22	31
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	589	7.0747528	3990.305	94.163071	17.202097	2000-2009 –> 2010-2019	15.969217	8.8944643	7442.872	224.529169	9	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	493	5.9611025	3173.335	177.971408	16.457804	1982-1999 –> 2000-2009	13.011143	7.0500407	8285.757	250.703685	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	493	6.2162926	3214.667	379.352750	16.179258	1982-1999 –> 2000-2009	13.289925	7.0736321	8332.139	499.901563	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	493	6.3363056	3233.521	200.832735	18.458894	1982-1999 –> 2000-2009	13.412188	7.0758821	8351.475	293.543332	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	493	6.3661410	3236.153	197.947897	19.968155	1982-1999 –> 2000-2009	13.442076	7.0759351	8352.118	289.008451	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	493	6.4290884	3245.854	154.206745	20.523804	1982-1999 –> 2000-2009	13.854328	7.4252391	8434.676	219.458528	6	11
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	493	6.4900148	3255.155	26.224084	16.898852	1982-1999 –> 2000-2009	13.996057	7.5060419	8460.340	39.525229	7	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	493	6.5148980	3258.928	162.160602	15.905864	1982-1999 –> 2000-2009	14.016551	7.5016527	8463.229	210.419556	9	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	493	6.3816876	3238.558	81.139288	16.693935	1982-1999 –> 2000-2009	14.041740	7.6600528	8474.454	108.692931	5	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	493	6.6400116	3277.684	24.371698	17.583973	1982-1999 –> 2000-2009	14.141611	7.5015994	8481.974	37.634433	11	17
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + silicate	493	6.5150799	3256.955	6.630218	15.798394	1982-1999 –> 2000-2009	14.183126	7.6680458	8492.428	13.786721	10	21
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	668	5.6708730	4228.120	38.678500	17.577791	2000-2009 –> 2010-2019	11.631976	5.9611025	7401.456	216.649907	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	668	5.8716834	4274.611	94.517685	18.690140	2000-2009 –> 2010-2019	12.087976	6.2162926	7489.277	473.870435	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	668	5.9685188	4296.464	56.527304	18.870530	2000-2009 –> 2010-2019	12.304824	6.3363056	7529.985	257.360039	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	668	6.0186341	4305.635	56.472934	18.615399	2000-2009 –> 2010-2019	12.384775	6.3661410	7541.788	254.420831	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	668	6.0343740	4309.125	18.845780	19.402050	2000-2009 –> 2010-2019	12.416062	6.3816876	7547.683	99.985068	5	10
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	668	6.1570094	4336.004	35.726394	17.486255	2000-2009 –> 2010-2019	12.586098	6.4290884	7581.858	189.933138	6	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	668	6.5177072	4412.064	15.830655	20.814781	2000-2009 –> 2010-2019	13.007722	6.4900148	7667.219	42.054739	10	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	668	6.4964207	4407.694	52.285428	19.933286	2000-2009 –> 2010-2019	13.011319	6.5148980	7666.621	214.446031	8	17
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	668	6.5072278	4409.914	300.073714	21.957984	2000-2009 –> 2010-2019	13.012732	6.5055045	7667.419	1125.995782	9	17
Atlantic	(26,26.5]	3	cstar_tref ~ sal + aou + silicate	668	6.5266059	4411.887	7.118154	21.975054	2000-2009 –> 2010-2019	13.041686	6.5150799	7668.842	13.748372	11	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	462	5.3739935	2878.871	75.907292	19.781445	1982-1999 –> 2000-2009	9.960936	4.5869421	7441.438	113.222002	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	462	5.3916225	2881.897	429.652018	19.578081	1982-1999 –> 2000-2009	9.987315	4.5956925	7447.411	790.168926	2	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	462	5.3916565	2879.903	73.551930	19.591683	1982-1999 –> 2000-2009	10.025031	4.6333743	7456.041	96.859358	3	12
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	462	5.5158599	2902.947	95.152373	19.903727	1982-1999 –> 2000-2009	10.111021	4.5951612	7468.282	136.633903	4	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	462	5.6048753	2915.740	91.379666	19.826794	1982-1999 –> 2000-2009	10.200609	4.5957333	7479.267	126.579970	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	462	5.6501235	2923.169	407.765011	20.590958	1982-1999 –> 2000-2009	10.252711	4.6025871	7489.000	763.767001	6	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	462	5.6637230	2925.390	39.387802	21.017235	1982-1999 –> 2000-2009	10.257487	4.5937639	7488.255	76.343867	7	9
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + silicate	462	5.6650581	2923.608	10.875186	20.947660	1982-1999 –> 2000-2009	10.302205	4.6371468	7499.005	25.435351	8	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	462	5.7400222	2937.755	37.375318	20.764960	1982-1999 –> 2000-2009	10.343976	4.6039533	7504.045	74.446957	9	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + silicate + phosphate	462	5.7744526	2941.281	15.412710	20.629740	1982-1999 –> 2000-2009	10.378455	4.6040029	7505.588	35.629565	10	18
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	460	5.4242836	2875.038	18.760896	15.747977	2000-2009 –> 2010-2019	10.798277	5.3739935	5753.909	94.668188	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	460	5.4296204	2875.943	96.902874	15.882045	2000-2009 –> 2010-2019	10.821243	5.3916225	5757.840	526.554892	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	460	5.4296627	2873.950	17.978763	15.884815	2000-2009 –> 2010-2019	10.821319	5.3916565	5753.853	91.530693	3	6
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	460	5.4645143	2881.837	26.488493	16.276112	2000-2009 –> 2010-2019	10.980374	5.5158599	5784.784	121.640867	4	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	460	5.5002980	2885.842	24.267987	16.244781	2000-2009 –> 2010-2019	11.105173	5.6048753	5801.581	115.647653	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	460	5.5197382	2889.087	95.575387	16.393529	2000-2009 –> 2010-2019	11.169862	5.6501235	5812.257	503.340398	6	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	460	5.5199277	2889.119	17.623873	16.346544	2000-2009 –> 2010-2019	11.183651	5.6637230	5814.509	57.011676	7	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + silicate	460	5.5205642	2887.225	5.261307	16.386895	2000-2009 –> 2010-2019	11.185622	5.6650581	5810.833	16.136493	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	460	5.5363350	2891.850	17.218488	16.601896	2000-2009 –> 2010-2019	11.276357	5.7400222	5829.605	54.593805	9	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + silicate + phosphate	460	5.5496560	2892.061	7.499014	16.538949	2000-2009 –> 2010-2019	11.324109	5.7744526	5833.341	22.911723	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1125	4.6513459	6665.214	773.854603	15.456718	1982-1999 –> 2000-2009	9.638991	4.9876448	14685.752	1427.182954	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1125	4.6961978	6686.806	84.603873	16.203578	1982-1999 –> 2000-2009	9.665140	4.9689417	14697.403	134.320011	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1125	4.7020596	6687.613	84.434708	16.469497	1982-1999 –> 2000-2009	9.689746	4.9876864	14706.173	107.810104	3	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1125	4.7754483	6724.459	118.491605	16.950936	1982-1999 –> 2000-2009	9.781197	5.0057488	14754.584	177.125700	4	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1125	4.8147558	6740.904	772.997628	17.547010	1982-1999 –> 2000-2009	9.827089	5.0123327	14772.506	1260.819571	5	15
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1125	4.8611487	6762.480	60.916165	18.310664	1982-1999 –> 2000-2009	9.844093	4.9829440	14778.523	103.148227	6	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	1125	4.8612674	6762.535	108.731471	18.661599	1982-1999 –> 2000-2009	9.867176	5.0059083	14790.744	139.887508	7	15
Atlantic	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1125	4.8920285	6776.728	72.705411	19.199877	1982-1999 –> 2000-2009	9.888052	4.9960235	14799.706	106.642670	9	14
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + silicate	1125	4.8698597	6764.508	23.682700	18.662721	1982-1999 –> 2000-2009	9.891956	5.0220962	14799.260	45.469698	8	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1125	4.8934209	6777.368	60.389878	18.574440	1982-1999 –> 2000-2009	9.904210	5.0107895	14808.156	102.436248	10	19
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	823	5.0468229	5014.050	297.162632	17.992332	2000-2009 –> 2010-2019	9.698169	4.6513459	11679.264	1071.017235	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	823	5.1135188	5035.660	28.742375	18.575372	2000-2009 –> 2010-2019	9.809717	4.6961978	11722.467	113.346248	2	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	823	5.1571269	5047.638	18.874399	18.416524	2000-2009 –> 2010-2019	9.859186	4.7020596	11735.251	103.309107	4	7
Atlantic	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	823	5.1498266	5047.306	34.331699	18.940330	2000-2009 –> 2010-2019	9.925275	4.7754483	11771.765	152.823304	3	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	823	5.1784405	5054.426	269.373309	18.580928	2000-2009 –> 2010-2019	9.993196	4.8147558	11795.330	1042.370937	5	10
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	823	5.2115107	5064.904	27.285054	18.918010	2000-2009 –> 2010-2019	10.072659	4.8611487	11827.384	88.201219	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	823	5.2380177	5073.255	23.323937	18.849709	2000-2009 –> 2010-2019	10.099285	4.8612674	11835.790	132.055408	9	16
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + silicate	823	5.2312845	5069.138	10.775341	18.771535	2000-2009 –> 2010-2019	10.101144	4.8698597	11833.646	34.458041	8	16
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	823	5.2229956	5068.528	27.570267	19.074723	2000-2009 –> 2010-2019	10.116416	4.8934209	11845.896	87.960145	7	17
Atlantic	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	823	5.2588527	5079.789	15.893417	18.796664	2000-2009 –> 2010-2019	10.150881	4.8920285	11856.517	88.598828	11	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1782	4.7737768	10642.120	706.628644	18.406019	1982-1999 –> 2000-2009	9.095008	4.3212311	25224.168	1523.444852	1	2
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1782	5.0157689	10816.356	599.133461	19.971327	1982-1999 –> 2000-2009	9.414416	4.3986476	25486.147	1204.141305	9	11
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1782	4.9166263	10747.204	73.867231	19.279237	1982-1999 –> 2000-2009	9.453205	4.5365791	25575.043	149.879307	2	5
Atlantic	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	1782	4.9406896	10762.604	119.594264	19.592330	1982-1999 –> 2000-2009	9.488544	4.5478541	25600.989	269.829548	5	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1782	4.9265728	10752.407	21.457591	19.062244	1982-1999 –> 2000-2009	9.493232	4.5666594	25611.646	46.261977	3	8
Atlantic	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1782	4.9371255	10760.033	22.436581	19.194331	1982-1999 –> 2000-2009	9.507797	4.5706717	25623.710	51.963497	4	10
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + silicate	1782	4.9426200	10761.997	14.159889	19.488205	1982-1999 –> 2000-2009	9.513429	4.5708087	25623.826	20.675828	6	13
Atlantic	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1782	4.9939701	10802.833	81.617836	19.954101	1982-1999 –> 2000-2009	9.612280	4.6183102	25720.914	170.128147	7	15
Atlantic	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	1782	5.0051820	10808.825	26.239031	19.846120	1982-1999 –> 2000-2009	9.644263	4.6390812	25747.586	56.667973	8	17
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	1782	5.0319151	10827.810	29.396631	19.615772	1982-1999 –> 2000-2009	9.706797	4.6748823	25805.425	57.532896	10	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1660	4.4415117	9674.979	456.900614	15.547755	2000-2009 –> 2010-2019	9.215288	4.7737768	20317.099	1163.529258	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1660	4.5418208	9749.125	43.817954	19.383678	2000-2009 –> 2010-2019	9.458447	4.9166263	20496.329	117.685185	3	5
Atlantic	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	1660	4.5390411	9745.092	63.319086	21.681389	2000-2009 –> 2010-2019	9.479731	4.9406896	20507.697	182.913351	2	7
Atlantic	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1660	4.5696640	9767.416	11.169069	22.818865	2000-2009 –> 2010-2019	9.506790	4.9371255	20527.448	33.605650	5	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1660	4.6019387	9790.782	11.710134	24.186549	2000-2009 –> 2010-2019	9.528512	4.9265728	20543.188	33.167725	7	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	1660	4.5677174	9768.001	49.803839	20.651689	2000-2009 –> 2010-2019	9.561687	4.9939701	20570.834	131.421675	4	11
Atlantic	(27,27.25]	3	cstar_tref ~ aou + nitrate + silicate	1660	4.6278482	9807.421	7.312442	23.123583	2000-2009 –> 2010-2019	9.570468	4.9426200	20569.418	21.472332	8	14
Atlantic	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	1660	4.5877842	9780.554	11.409398	23.373998	2000-2009 –> 2010-2019	9.592966	5.0051820	20589.380	37.648428	6	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	1660	4.6429627	9820.247	13.089849	25.914668	2000-2009 –> 2010-2019	9.674878	5.0319151	20648.057	42.486481	9	19
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1660	4.6701688	9839.644	416.051117	16.174106	2000-2009 –> 2010-2019	9.685938	5.0157689	20656.000	1015.184578	12	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3394	4.1302688	19273.464	173.825538	22.234252	1982-1999 –> 2000-2009	7.203900	3.0736310	46418.617	475.220447	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3394	4.2277670	19431.838	51.991455	29.205869	1982-1999 –> 2000-2009	7.380548	3.1527810	46848.381	102.859250	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3394	4.2618712	19484.375	19.005044	33.520121	1982-1999 –> 2000-2009	7.499970	3.2380983	47183.928	31.875992	3	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3394	4.3111159	19562.359	54.000188	36.920108	1982-1999 –> 2000-2009	7.505469	3.1943530	47116.727	109.970759	5	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3394	4.3029892	19549.551	18.214695	36.924200	1982-1999 –> 2000-2009	7.517292	3.2143026	47170.374	34.832814	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3394	4.3301254	19594.224	48.552358	32.591246	1982-1999 –> 2000-2009	7.542851	3.2127252	47211.808	103.978398	7	11
Atlantic	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + silicate	3394	4.3113507	19560.728	11.935625	37.002488	1982-1999 –> 2000-2009	7.551488	3.2401371	47265.000	16.623353	6	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3394	4.3935501	19690.929	21.893760	39.541227	1982-1999 –> 2000-2009	7.661123	3.2675728	47487.201	38.332643	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3394	4.3978926	19697.634	139.468314	18.985301	1982-1999 –> 2000-2009	7.678418	3.2805249	47536.133	385.242225	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3394	4.5570748	19938.985	42.512768	26.962536	1982-1999 –> 2000-2009	7.918258	3.3611836	48036.752	85.416261	12	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3827	4.1412128	21750.803	317.670705	39.249647	2000-2009 –> 2010-2019	8.271482	4.1302688	41024.266	491.496243	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3827	4.1440408	21756.028	40.532856	41.560836	2000-2009 –> 2010-2019	8.371808	4.2277670	41187.866	92.524310	2	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3827	4.1442441	21754.404	9.671429	42.004265	2000-2009 –> 2010-2019	8.406115	4.2618712	41238.778	28.676472	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3827	4.1457882	21757.255	7.973865	42.915293	2000-2009 –> 2010-2019	8.448777	4.3029892	41306.805	26.188560	4	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3827	4.1472695	21759.989	29.332714	43.172202	2000-2009 –> 2010-2019	8.458385	4.3111159	41322.348	83.332902	5	10
Atlantic	(27.25,27.5]	3	cstar_tref ~ aou + nitrate + silicate	3827	4.1506253	21764.180	6.617912	42.754776	2000-2009 –> 2010-2019	8.461976	4.3113507	41324.908	18.553537	6	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3827	4.1587606	21783.167	43.094466	44.735941	2000-2009 –> 2010-2019	8.488886	4.3301254	41377.391	91.646824	7	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3827	4.1588609	21781.352	8.062568	45.042574	2000-2009 –> 2010-2019	8.552411	4.3935501	41472.281	29.956328	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	3827	4.1761858	21813.171	8.633094	48.849765	2000-2009 –> 2010-2019	8.682599	4.5064129	41676.269	31.260536	9	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	3827	4.4110701	22231.989	203.330208	58.604528	2000-2009 –> 2010-2019	8.954316	4.5432464	42150.345	377.155715	11	22
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6000	5.7003390	37927.570	53.938491	45.348788	1982-1999 –> 2000-2009	9.149465	3.4491261	79699.916	296.598465	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6000	5.8549880	38248.790	23.705230	53.825561	1982-1999 –> 2000-2009	9.165798	3.3108103	79377.912	62.900400	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6000	6.1401709	38819.493	19.318834	45.531140	1982-1999 –> 2000-2009	9.491224	3.3510528	80138.491	60.585858	5	7
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6000	5.9352891	38410.251	12.411289	64.368370	1982-1999 –> 2000-2009	9.581002	3.6457125	81051.750	25.033033	3	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6000	6.0858532	38710.866	51.309077	45.107210	1982-1999 –> 2000-2009	9.868020	3.7821665	81929.851	288.802412	4	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6000	6.1925834	38919.491	20.447467	50.384769	1982-1999 –> 2000-2009	9.970934	3.7783508	82122.613	59.642636	6	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6000	6.3123598	39149.377	13.721934	60.118264	1982-1999 –> 2000-2009	9.974284	3.6619243	81860.607	27.891387	7	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6000	6.3415906	39204.818	18.789976	45.013184	1982-1999 –> 2000-2009	10.114131	3.7725410	82383.755	57.967039	8	21
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6000	6.4597639	39426.376	30.672637	46.376066	1982-1999 –> 2000-2009	10.125736	3.6659723	82154.969	76.890456	9	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + silicate	6000	6.4757019	39453.947	9.336897	39.583463	1982-1999 –> 2000-2009	10.144552	3.6688495	82192.869	13.604785	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5322	5.3369459	32942.194	209.306373	66.389407	2000-2009 –> 2010-2019	11.037285	5.7003390	70869.764	263.244863	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5322	5.2038221	32673.325	37.102360	65.190926	2000-2009 –> 2010-2019	11.058810	5.8549880	70922.115	60.807591	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5322	5.4934652	33249.866	660.470407	40.261835	2000-2009 –> 2010-2019	11.195599	5.7021334	71181.213	933.461321	8	10
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5322	5.2132031	32692.496	39.963740	67.790250	2000-2009 –> 2010-2019	11.353374	6.1401709	71511.989	59.282574	2	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	5322	5.5767059	33407.942	6.629482	40.786797	2000-2009 –> 2010-2019	11.511995	5.9352891	71818.193	19.040772	14	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	5322	5.5038038	33267.879	8.028773	43.130767	2000-2009 –> 2010-2019	11.816164	6.3123598	72417.257	21.750706	9	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	5322	5.5189414	33297.114	30.843345	44.441939	2000-2009 –> 2010-2019	11.978705	6.4597639	72723.490	61.515982	11	23
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + silicate	5322	5.5814232	33414.942	2.921714	41.347252	2000-2009 –> 2010-2019	12.057125	6.4757019	72868.888	12.258611	15	29
Atlantic	(27.5,27.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	5322	5.5318076	33321.900	7.971205	45.756891	2000-2009 –> 2010-2019	12.200899	6.6690913	73130.965	23.669602	12	30
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	5322	5.4521968	33167.604	7.041636	48.460786	2000-2009 –> 2010-2019	12.326393	6.8741963	73340.163	23.103983	7	27
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2856	4.0333410	16084.904	190.753219	27.999367	1982-1999 –> 2000-2009	7.386893	3.3535517	31593.985	805.905958	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2856	4.2335987	16361.692	23.869129	29.489650	1982-1999 –> 2000-2009	7.651423	3.4178248	31982.667	67.479621	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2856	4.3848513	16560.202	16.285641	31.194049	1982-1999 –> 2000-2009	7.839572	3.4547206	32242.463	30.894169	7	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2856	4.2931794	16441.518	50.671152	27.710017	1982-1999 –> 2000-2009	7.860578	3.5673986	32314.947	274.886229	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2856	4.2933512	16439.747	13.637363	27.596719	1982-1999 –> 2000-2009	7.872571	3.5792199	32330.675	27.105188	4	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2856	4.3333966	16494.778	217.617153	34.011948	1982-1999 –> 2000-2009	8.035904	3.7025078	32587.308	864.321296	5	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2856	4.3516576	16516.798	160.614247	34.329111	1982-1999 –> 2000-2009	8.063907	3.7122495	32622.816	774.394507	6	18
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2856	4.5321150	16750.887	20.902294	30.004184	1982-1999 –> 2000-2009	8.100077	3.5679614	32625.246	70.005867	12	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2856	4.4063891	16588.190	23.852416	33.923529	1982-1999 –> 2000-2009	8.227200	3.8208108	32864.101	64.459797	8	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2856	4.6259233	16865.910	16.617774	32.220376	1982-1999 –> 2000-2009	8.228035	3.6021119	32794.415	30.609929	14	23
Atlantic	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2326	5.1801430	14266.664	383.422645	25.855203	2000-2009 –> 2010-2019	9.213484	4.0333410	30351.568	574.175864	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2326	5.3281130	14397.685	40.999603	37.372516	2000-2009 –> 2010-2019	9.561712	4.2335987	30759.377	64.868732	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2326	5.3310577	14398.255	15.177044	35.074290	2000-2009 –> 2010-2019	9.715909	4.3848513	30958.458	31.462685	3	10
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2326	5.4840323	14531.865	141.902241	25.580101	2000-2009 –> 2010-2019	9.777212	4.2931794	30973.383	192.573393	6	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2326	5.4912940	14536.021	13.923906	25.370853	2000-2009 –> 2010-2019	9.784645	4.2933512	30975.768	27.561269	7	11
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2326	5.4561758	14508.174	45.901900	41.035904	2000-2009 –> 2010-2019	9.988291	4.5321150	31259.061	66.804193	4	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2326	5.5088132	14550.839	14.708761	31.047971	2000-2009 –> 2010-2019	10.134737	4.6259233	31416.749	31.326535	8	22
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	2326	5.8665836	14845.558	406.079589	35.752494	2000-2009 –> 2010-2019	10.199980	4.3333966	31340.335	623.696741	10	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2326	5.8797497	14853.986	370.694831	36.001344	2000-2009 –> 2010-2019	10.231407	4.3516576	31370.784	531.309078	11	17
Atlantic	(27.75,27.85]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	2326	5.4584979	14508.154	15.407769	39.038193	2000-2009 –> 2010-2019	10.234417	4.7759189	31556.336	32.519448	5	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6304	3.7790126	34665.844	149.213983	16.693008	1982-1999 –> 2000-2009	7.606872	3.8278594	74126.979	549.435678	2	3
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	6304	3.7346469	34516.949	159.635319	36.933017	1982-1999 –> 2000-2009	8.084965	4.3503187	75805.884	579.374618	1	7
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6304	4.1182522	35749.704	106.074075	37.193748	1982-1999 –> 2000-2009	8.272334	4.1540816	76379.229	291.187040	6	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6304	3.8759386	34983.142	148.844730	22.807950	1982-1999 –> 2000-2009	8.303967	4.4280285	76523.015	473.609088	3	10
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6304	4.3484622	36435.496	145.662859	34.774048	1982-1999 –> 2000-2009	8.331141	3.9826786	76463.055	618.783734	12	14
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6304	3.9861390	35338.611	94.716376	19.968737	1982-1999 –> 2000-2009	8.421944	4.4358054	76905.552	135.545831	4	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6304	4.5027532	36873.096	130.581708	29.411600	1982-1999 –> 2000-2009	8.517098	4.0143451	77011.796	529.707963	13	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	6304	4.1581020	35869.117	57.267496	31.048585	1982-1999 –> 2000-2009	8.596901	4.4387993	77443.698	92.348703	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	6304	4.5154799	36908.682	63.985673	45.106707	1982-1999 –> 2000-2009	8.764778	4.2492984	77859.964	243.057952	16	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6304	4.1619063	35880.647	105.470536	43.024689	1982-1999 –> 2000-2009	8.882107	4.7202010	78333.352	250.780281	8	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4923	6.0397248	31691.506	270.037280	32.672021	2000-2009 –> 2010-2019	9.818737	3.7790126	66357.350	419.251263	1	3
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4923	6.4273394	32303.949	303.747302	71.245704	2000-2009 –> 2010-2019	10.161986	3.7346469	66820.899	463.382621	4	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4923	6.1997865	31949.042	121.387547	52.930414	2000-2009 –> 2010-2019	10.318039	4.1182522	67698.746	227.461623	3	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4923	6.5807026	32534.126	231.320659	55.384303	2000-2009 –> 2010-2019	10.456641	3.8759386	67517.268	380.165389	9	12
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4923	6.4848882	32391.715	41.242334	30.446564	2000-2009 –> 2010-2019	10.471027	3.9861390	67730.326	135.958710	7	11
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4923	6.1931661	31938.522	350.537658	42.202873	2000-2009 –> 2010-2019	10.541628	4.3484622	68374.018	496.200516	2	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4923	6.4916650	32399.999	34.379467	26.959823	2000-2009 –> 2010-2019	10.649767	4.1581020	68269.117	91.646963	8	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4923	6.4449990	32328.965	266.980750	22.844099	2000-2009 –> 2010-2019	10.947752	4.5027532	69202.061	397.562458	6	19
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	4923	6.4415016	32323.620	104.694704	46.025380	2000-2009 –> 2010-2019	10.956982	4.5154799	69232.302	168.680377	5	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4923	7.0369293	33194.107	109.290512	80.829844	2000-2009 –> 2010-2019	11.198836	4.1619063	69074.755	214.761048	13	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7932	4.1592056	45135.382	549.291501	54.816372	1982-1999 –> 2000-2009	8.595588	4.4363825	123610.756	1078.267539	2	3
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7932	4.1624934	45145.918	316.509116	56.983208	1982-1999 –> 2000-2009	8.598941	4.4364474	123619.686	606.993075	4	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7932	4.1570623	45127.205	272.317013	54.262256	1982-1999 –> 2000-2009	8.618291	4.4612281	123753.223	493.161164	1	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7932	4.1609840	45140.164	185.849901	56.640987	1982-1999 –> 2000-2009	8.632176	4.4711923	123824.361	365.974287	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	7932	4.1627979	45147.078	39.463429	56.473582	1982-1999 –> 2000-2009	8.632751	4.4699533	123823.799	89.172785	5	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	7932	4.1633802	45147.297	23.650055	57.102828	1982-1999 –> 2000-2009	8.657255	4.4938751	123965.990	50.492835	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	7932	4.4485081	46202.152	582.456596	67.311297	1982-1999 –> 2000-2009	9.241142	4.7926341	126761.020	1012.539093	7	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7932	4.5351436	46506.136	622.708140	48.096472	1982-1999 –> 2000-2009	9.267281	4.7321377	126720.351	1038.056777	9	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	7932	4.4628114	46251.078	432.968938	72.343344	1982-1999 –> 2000-2009	9.311676	4.8488645	127122.581	753.938939	8	19
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	7932	4.6230580	46810.720	71.195402	31.816523	1982-1999 –> 2000-2009	9.337274	4.7142163	126922.585	171.330423	10	17
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6361	3.8962806	35367.941	363.423495	36.611826	2000-2009 –> 2010-2019	8.055486	4.1592056	80503.324	912.714996	1	3
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6361	3.9277071	35470.142	168.649946	37.755449	2000-2009 –> 2010-2019	8.084770	4.1570623	80597.348	440.966960	2	3
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + silicate + phosphate	6361	3.9297489	35474.754	39.906715	38.442396	2000-2009 –> 2010-2019	8.092547	4.1627979	80621.832	79.370144	3	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6361	3.9678914	35597.639	225.496611	33.503027	2000-2009 –> 2010-2019	8.130385	4.1624934	80743.557	542.005728	4	8
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	6361	4.0951010	35999.102	135.933536	32.426030	2000-2009 –> 2010-2019	8.256085	4.1609840	81139.266	321.783438	5	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + aou + phosphate	6361	4.1561282	36185.293	22.451389	35.111793	2000-2009 –> 2010-2019	8.319508	4.1633802	81332.589	46.101444	6	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6361	4.7091230	37778.496	330.297499	53.364350	2000-2009 –> 2010-2019	9.157631	4.4485081	83980.648	912.754095	7	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6361	4.7098635	37778.497	269.557619	53.314216	2000-2009 –> 2010-2019	9.172675	4.4628114	84029.575	702.526557	8	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6361	4.9548847	38423.693	339.004676	18.018766	2000-2009 –> 2010-2019	9.490028	4.5351436	84929.829	961.712816	9	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6361	5.0551218	38678.490	84.333090	17.614463	2000-2009 –> 2010-2019	9.678180	4.6230580	85489.209	155.528492	10	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1830	4.0269371	10305.717	461.158851	12.210720	1982-1999 –> 2000-2009	6.995050	2.9681127	24413.311	867.408489	2	3
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1830	4.0285882	10305.218	167.031885	12.922889	1982-1999 –> 2000-2009	7.101400	3.0728121	24605.709	327.683159	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1830	4.0563645	10330.366	668.914632	16.845823	1982-1999 –> 2000-2009	7.294315	3.2379503	24925.154	1299.158171	6	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	1830	4.3149852	10556.579	81.971584	18.350262	1982-1999 –> 2000-2009	7.322665	3.0076793	24736.622	159.869474	8	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1830	4.0224030	10299.594	777.321247	12.536776	1982-1999 –> 2000-2009	7.336417	3.3140137	25024.922	1515.801407	1	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1830	4.0300461	10306.542	362.592249	11.754193	1982-1999 –> 2000-2009	7.465370	3.4353241	25233.988	713.664880	4	11
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + phosphate + phosphate_star	1830	4.0438053	10317.016	75.531511	12.165824	1982-1999 –> 2000-2009	7.504444	3.4606389	25283.739	162.049967	5	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1830	4.4725261	10687.824	402.289995	12.260661	1982-1999 –> 2000-2009	7.825967	3.3534414	25479.644	781.244184	10	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	1830	4.3120265	10554.068	673.999397	13.434361	1982-1999 –> 2000-2009	8.023270	3.7112438	25915.846	1302.142375	7	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	1830	4.4263600	10647.849	29.605410	13.872071	1982-1999 –> 2000-2009	8.068147	3.6417873	25901.413	71.349737	9	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1794	3.9481510	10030.363	521.382157	14.719768	2000-2009 –> 2010-2019	8.004516	4.0563645	20360.729	1190.296790	1	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	1794	3.9885447	10066.886	519.770322	15.134590	2000-2009 –> 2010-2019	8.010948	4.0224030	20366.479	1297.091569	2	3
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1794	4.0054553	10084.066	441.156630	14.271204	2000-2009 –> 2010-2019	8.032392	4.0269371	20389.783	902.315481	3	5
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1794	4.0063491	10082.866	126.718196	14.494583	2000-2009 –> 2010-2019	8.034937	4.0285882	20388.084	293.750081	4	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1794	4.1002547	10165.996	316.710107	16.025646	2000-2009 –> 2010-2019	8.130301	4.0300461	20472.537	679.302355	5	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ aou + phosphate + phosphate_star	1794	4.1817815	10234.637	72.733730	14.609013	2000-2009 –> 2010-2019	8.225587	4.0438053	20551.653	148.265241	6	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	1794	4.2755263	10316.183	58.543808	16.317148	2000-2009 –> 2010-2019	8.590511	4.3149852	20872.761	140.515392	7	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	1794	4.4759724	10480.572	602.889919	15.438021	2000-2009 –> 2010-2019	8.787999	4.3120265	21034.640	1276.889316	8	15
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + aou + phosphate	1794	4.7083922	10660.207	31.117305	18.404569	2000-2009 –> 2010-2019	9.134752	4.4263600	21308.056	60.722716	9	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1794	4.7449236	10689.938	271.887385	16.813418	2000-2009 –> 2010-2019	9.217450	4.4725261	21377.762	674.177380	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1773	4.9213933	10696.432	729.955325	18.158226	1982-1999 –> 2000-2009	8.209231	3.2878380	23667.564	1413.288067	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1773	5.0112269	10758.576	664.237835	16.653418	1982-1999 –> 2000-2009	8.359019	3.3477922	23817.448	1333.171875	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1773	5.1357195	10845.592	235.627297	12.675416	1982-1999 –> 2000-2009	8.449486	3.3137665	23853.733	384.145658	3	5
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	1773	5.1363533	10844.030	64.399630	12.662298	1982-1999 –> 2000-2009	8.556208	3.4198548	24006.663	160.766762	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	1773	5.2736383	10939.563	90.678805	13.325046	1982-1999 –> 2000-2009	8.649156	3.3755176	24039.392	158.477714	5	9
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1773	5.2883483	10947.440	27.258748	13.358658	1982-1999 –> 2000-2009	8.746104	3.4577552	24164.806	84.206311	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1773	5.3608792	10997.744	400.733019	13.230333	1982-1999 –> 2000-2009	8.830051	3.4691714	24233.478	617.221588	8	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + silicate + phosphate	1773	5.3342806	10978.106	16.881692	14.602991	1982-1999 –> 2000-2009	8.898910	3.5646298	24346.640	58.309195	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	1773	5.3641003	10997.874	62.795251	12.863847	1982-1999 –> 2000-2009	9.047116	3.6830156	24528.655	170.931999	9	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1773	5.4758626	11072.996	103.697378	12.946573	1982-1999 –> 2000-2009	9.055488	3.5796256	24464.377	179.008413	10	19
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1715	4.8874830	10323.263	611.621822	17.963793	2000-2009 –> 2010-2019	9.808876	4.9213933	21019.695	1341.577147	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1715	4.8887227	10322.133	544.400192	18.018457	2000-2009 –> 2010-2019	9.899950	5.0112269	21080.709	1208.638028	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1715	5.0576485	10438.652	127.625901	18.966526	2000-2009 –> 2010-2019	10.193368	5.1357195	21284.244	363.253198	3	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + phosphate + phosphate_star	1715	5.1494138	10498.327	67.416946	20.017893	2000-2009 –> 2010-2019	10.285767	5.1363533	21342.357	131.816576	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + silicate + phosphate	1715	5.3007015	10599.647	46.708057	20.438662	2000-2009 –> 2010-2019	10.574340	5.2736383	21539.210	137.386862	5	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + aou + phosphate	1715	5.3664835	10639.952	32.314847	21.234607	2000-2009 –> 2010-2019	10.654832	5.2883483	21587.392	59.573594	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1715	5.5768498	10773.840	173.603388	20.042062	2000-2009 –> 2010-2019	10.937729	5.3608792	21771.584	574.336407	7	15
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + nitrate + phosphate_star	1715	5.7740435	10891.027	62.518192	21.021351	2000-2009 –> 2010-2019	11.138144	5.3641003	21888.901	125.313443	9	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ aou + silicate + phosphate	1715	5.8178701	10916.964	23.080927	23.766914	2000-2009 –> 2010-2019	11.152151	5.3342806	21895.070	39.962619	10	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + aou + nitrate + silicate	1715	5.7521614	10880.004	48.956367	20.738585	2000-2009 –> 2010-2019	11.228024	5.4758626	21953.000	152.653745	8	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1349	5.0113970	8188.702	375.456807	18.501452	1982-1999 –> 2000-2009	9.297604	4.2862072	18830.015	617.011619	2	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1349	5.0012522	8183.235	298.334999	18.532797	1982-1999 –> 2000-2009	9.423709	4.4224564	18940.269	487.742275	1	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1349	5.2109874	8294.072	90.482425	19.024559	1982-1999 –> 2000-2009	9.560323	4.3493353	18989.452	153.310271	4	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	1349	5.1572406	8266.100	87.157426	18.866998	1982-1999 –> 2000-2009	9.593000	4.4357596	19034.241	146.798060	3	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + silicate + phosphate	1349	5.5365360	8455.570	18.894979	20.825377	1982-1999 –> 2000-2009	9.976159	4.4396225	19224.930	67.894291	11	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + nitrate + silicate	1349	5.6055631	8488.999	17.493195	21.110181	1982-1999 –> 2000-2009	9.997567	4.3920043	19218.481	65.398396	16	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1349	5.5414476	8459.962	119.472326	20.136499	1982-1999 –> 2000-2009	10.268142	4.7266940	19463.027	183.857208	12	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + aou + phosphate	1349	5.3867413	8381.568	29.012310	19.638774	1982-1999 –> 2000-2009	10.295812	4.9090704	19522.633	81.486613	7	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1349	5.4118262	8396.103	177.822904	20.211838	1982-1999 –> 2000-2009	10.298459	4.8866328	19522.227	523.627787	8	16
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	1349	5.3081750	8341.927	92.573890	19.365831	1982-1999 –> 2000-2009	10.299613	4.9914382	19544.526	193.554713	5	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1271	4.1867336	7258.885	205.101937	20.901379	2000-2009 –> 2010-2019	9.187986	5.0012522	15442.120	503.436936	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	1271	4.2866889	7318.860	266.351541	22.070503	2000-2009 –> 2010-2019	9.298086	5.0113970	15507.562	641.808348	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	1271	4.3030754	7328.559	64.343868	20.746752	2000-2009 –> 2010-2019	9.460316	5.1572406	15594.658	151.501294	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1271	4.4072828	7389.384	69.199053	21.643909	2000-2009 –> 2010-2019	9.618270	5.2109874	15683.456	159.681478	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1271	4.6265643	7512.814	238.064514	23.412331	2000-2009 –> 2010-2019	10.038390	5.4118262	15908.917	415.887419	5	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	1271	4.6414299	7520.969	257.440091	23.131094	2000-2009 –> 2010-2019	10.070023	5.4285930	15925.418	447.155509	6	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1271	4.6603779	7531.325	80.351079	22.174555	2000-2009 –> 2010-2019	10.201825	5.5414476	15991.287	199.823405	7	19
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + silicate + phosphate_star	1271	4.6608607	7529.588	71.040421	21.969364	2000-2009 –> 2010-2019	10.313506	5.6526456	16041.154	190.490609	8	28
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + phosphate + phosphate_star	1271	5.1653814	7790.852	97.137028	23.127592	2000-2009 –> 2010-2019	10.473556	5.3081750	16132.780	189.710918	12	17
Atlantic	(28.15,28.2]	3	cstar_tref ~ aou + silicate + phosphate	1271	5.0350836	7725.907	33.607304	23.575333	2000-2009 –> 2010-2019	10.571620	5.5365360	16181.477	52.502283	9	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3424	2.4951301	15992.297	103.549396	19.352897	1982-1999 –> 2000-2009	4.508159	2.0130286	31738.864	187.551432	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3424	2.5060386	16020.171	98.564527	19.596065	1982-1999 –> 2000-2009	4.545027	2.0389881	31859.889	181.923392	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3424	2.5791475	16219.090	89.195059	19.559617	1982-1999 –> 2000-2009	4.631280	2.0521325	32108.526	161.466614	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3424	2.5832643	16228.012	78.102322	19.720249	1982-1999 –> 2000-2009	4.653088	2.0698241	32179.194	150.161337	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	3424	2.8215389	16832.201	56.192725	16.701725	1982-1999 –> 2000-2009	5.092539	2.2709999	33472.194	80.533063	5	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	3424	2.8240518	16836.298	31.665143	16.941575	1982-1999 –> 2000-2009	5.105372	2.2813202	33507.960	47.519798	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	3424	2.8340131	16862.410	53.478168	16.668420	1982-1999 –> 2000-2009	5.117705	2.2836921	33543.790	76.304783	7	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + phosphate + phosphate_star	3424	2.8352639	16863.432	27.747518	16.772235	1982-1999 –> 2000-2009	5.127490	2.2922260	33570.510	41.852126	8	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	3424	3.0201929	17298.127	30.147273	15.408699	1982-1999 –> 2000-2009	5.547110	2.5269176	34731.068	43.413595	9	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	3424	3.0310944	17322.801	33.043488	15.095503	1982-1999 –> 2000-2009	5.561441	2.5303463	34765.811	46.641598	11	21
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2130	2.0734820	9165.195	158.169024	26.823785	2000-2009 –> 2010-2019	4.568612	2.4951301	25157.492	261.718420	2	3
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2130	2.1232118	9264.160	156.570989	27.556803	2000-2009 –> 2010-2019	4.629250	2.5060386	25284.331	255.135517	4	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2130	2.0613343	9140.164	127.114662	26.260282	2000-2009 –> 2010-2019	4.640482	2.5791475	25359.254	216.309721	1	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2130	2.0882226	9193.373	126.938694	26.783567	2000-2009 –> 2010-2019	4.671487	2.5832643	25421.384	205.041016	3	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	2130	2.6859220	10265.661	42.481240	29.776634	2000-2009 –> 2010-2019	5.507461	2.8215389	27097.862	98.673965	7	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2130	2.6752926	10248.768	39.669427	29.624697	2000-2009 –> 2010-2019	5.509306	2.8340131	27111.178	93.147595	5	12
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + phosphate + phosphate_star	2130	2.6820307	10257.484	24.942477	29.895102	2000-2009 –> 2010-2019	5.517295	2.8352639	27120.916	52.689994	6	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + nitrate + phosphate_star	2130	2.6946732	10277.518	28.408146	30.087650	2000-2009 –> 2010-2019	5.518725	2.8240518	27113.815	60.073289	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	2130	2.7233074	10324.547	18.547992	27.477607	2000-2009 –> 2010-2019	5.743500	3.0201929	27622.674	48.695265	9	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	2130	2.7432576	10355.641	19.447323	27.781569	2000-2009 –> 2010-2019	5.774352	3.0310944	27678.441	52.490811	10	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4992	8.7870144	35878.660	127.843431	30.016066	1982-1999 –> 2000-2009	18.037268	9.2502540	63161.284	363.045030	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4992	8.7956591	35888.477	133.449134	37.075744	1982-1999 –> 2000-2009	18.563935	9.7682758	63578.897	366.894326	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4992	9.0979748	36223.872	127.815420	33.776413	1982-1999 –> 2000-2009	19.448912	10.3509372	64345.893	356.377439	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4992	12.4345084	39345.110	123.663025	43.266180	1982-1999 –> 2000-2009	25.018124	12.5836160	68930.895	321.525283	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4992	12.6792126	39537.681	123.659963	45.266502	1982-1999 –> 2000-2009	25.825309	13.1460968	69448.736	314.566109	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4992	12.9959372	39786.016	67.130174	73.718745	1982-1999 –> 2000-2009	26.654498	13.6585606	69985.271	99.612966	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4992	12.9243446	39730.864	47.685474	65.792237	1982-1999 –> 2000-2009	26.931466	14.0071215	70118.711	76.193549	6	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4992	13.6631939	40283.903	121.581766	38.318569	1982-1999 –> 2000-2009	27.052422	13.3892285	70332.107	317.568988	18	24
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	4992	13.2207014	39955.213	12.224754	60.837144	1982-1999 –> 2000-2009	27.067171	13.8464692	70254.727	20.155953	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	4992	13.3363469	40042.166	11.043101	59.373281	1982-1999 –> 2000-2009	27.356612	14.0202649	70435.032	19.302203	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	5523	9.1114375	40094.069	143.095449	46.174220	2000-2009 –> 2010-2019	17.898452	8.7870144	75972.729	270.938880	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5523	9.2333853	40240.928	148.636614	42.447930	2000-2009 –> 2010-2019	18.029044	8.7956591	76129.406	282.085747	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5523	9.6762977	40756.473	141.340954	41.459516	2000-2009 –> 2010-2019	18.774273	9.0979748	76980.345	269.156374	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5523	12.1071984	43234.112	148.211558	48.609890	2000-2009 –> 2010-2019	24.541707	12.4345084	82579.222	271.874583	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5523	12.5853362	43659.947	146.756494	56.686659	2000-2009 –> 2010-2019	25.264549	12.6792126	83197.629	270.416457	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	5523	13.1344744	44133.701	42.937351	54.645592	2000-2009 –> 2010-2019	26.058819	12.9243446	83864.564	90.622824	7	13
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5523	13.5307981	44462.076	57.765639	59.729316	2000-2009 –> 2010-2019	26.526735	12.9959372	84248.092	124.895813	11	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	5523	13.4507956	44394.572	40.206548	57.946883	2000-2009 –> 2010-2019	26.583544	13.1327483	84283.142	87.773933	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	5523	13.3822528	44338.139	12.895510	55.794521	2000-2009 –> 2010-2019	26.725171	13.3429184	84385.224	25.655333	8	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5523	13.0729161	44079.809	142.398835	52.870462	2000-2009 –> 2010-2019	26.736110	13.6631939	84363.712	263.980600	6	24
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3323	6.6811529	22066.951	18.316265	24.429689	1982-1999 –> 2000-2009	12.622094	5.9409413	44518.602	29.073121	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3323	6.6968657	22080.562	18.132979	24.860709	1982-1999 –> 2000-2009	12.664118	5.9672524	44561.190	23.987339	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3323	6.8143218	22198.116	65.069657	22.415363	1982-1999 –> 2000-2009	12.812565	5.9982433	44717.056	110.081556	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3323	6.8144292	22196.221	57.248868	22.353268	1982-1999 –> 2000-2009	12.813318	5.9988892	44713.916	75.936005	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3323	6.9505278	22327.647	9.196793	19.445792	1982-1999 –> 2000-2009	12.969139	6.0186116	44868.351	14.561752	5	10
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	3323	6.9720078	22346.154	4.442951	19.203525	1982-1999 –> 2000-2009	13.007462	6.0354540	44904.448	8.052406	8	14
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3323	6.9514651	22330.543	22.240083	22.228976	1982-1999 –> 2000-2009	13.209095	6.2576300	45146.251	39.599159	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3323	6.9531195	22330.125	18.056548	22.068908	1982-1999 –> 2000-2009	13.210975	6.2578553	45144.085	24.791200	7	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	3323	7.0393776	22412.066	16.445338	24.425691	1982-1999 –> 2000-2009	13.643457	6.6040794	45603.515	22.882509	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ nitrate + silicate + phosphate	3323	7.1865232	22547.557	11.403822	28.007009	1982-1999 –> 2000-2009	15.312691	8.1261676	47190.892	17.716668	10	21
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2796	7.5560268	19257.660	13.366948	21.122298	2000-2009 –> 2010-2019	14.237180	6.6811529	41324.611	31.683212	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2796	7.6199164	19302.744	11.125333	20.830666	2000-2009 –> 2010-2019	14.316782	6.6968657	41383.307	29.258312	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2796	7.7202454	19377.892	54.139196	19.336584	2000-2009 –> 2010-2019	14.534567	6.8143218	41576.008	119.208853	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2796	7.7270863	19380.845	34.235425	19.408897	2000-2009 –> 2010-2019	14.541515	6.8144292	41577.065	91.484292	4	8
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2796	7.7794163	19420.588	21.768692	21.198142	2000-2009 –> 2010-2019	14.730881	6.9514651	41751.131	44.008775	5	11
Indo-Pacific	(26,26.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	2796	7.8148072	19443.970	11.180888	19.364608	2000-2009 –> 2010-2019	14.767927	6.9531195	41774.095	29.237436	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2796	7.7830467	19421.197	11.612778	21.920509	2000-2009 –> 2010-2019	14.822424	7.0393776	41833.263	28.058116	6	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2796	7.9814239	19561.942	8.278343	20.738263	2000-2009 –> 2010-2019	14.931952	6.9505278	41889.589	17.475136	8	13
Indo-Pacific	(26,26.5]	3	cstar_tref ~ aou + nitrate + silicate	2796	8.0617629	19615.948	4.316522	19.899272	2000-2009 –> 2010-2019	15.033771	6.9720078	41962.102	8.759473	10	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ nitrate + silicate + phosphate	2796	8.0001557	19573.050	10.064156	22.031174	2000-2009 –> 2010-2019	15.186679	7.1865232	42120.607	21.467978	9	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2979	5.1668664	18252.659	47.830261	19.668578	1982-1999 –> 2000-2009	9.735399	4.5685331	36336.163	92.705668	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2979	5.1698784	18256.131	13.839948	19.605025	1982-1999 –> 2000-2009	9.738009	4.5681303	36339.093	25.009525	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2979	5.1937740	18281.606	8.642673	20.007960	1982-1999 –> 2000-2009	9.765220	4.5714461	36367.030	12.966373	5	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2979	5.1729524	18257.673	12.549906	19.889018	1982-1999 –> 2000-2009	9.771942	4.5989900	36380.040	19.035168	3	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2979	5.1740300	18258.914	32.922379	20.216288	1982-1999 –> 2000-2009	9.779679	4.6056492	36390.180	53.688305	4	11
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2979	5.1965873	18286.832	19.690406	19.047738	1982-1999 –> 2000-2009	9.785059	4.5884716	36397.118	38.074967	6	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	2979	5.2014682	18290.426	12.433001	18.665648	1982-1999 –> 2000-2009	9.791416	4.5899476	36400.690	18.976848	7	12
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + silicate	2979	5.2385363	18330.735	2.941337	21.961058	1982-1999 –> 2000-2009	9.860575	4.6220386	36481.847	5.467988	8	16
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2979	5.8565125	18997.124	12.107861	24.731700	1982-1999 –> 2000-2009	11.046026	5.1895134	37862.432	17.984049	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	2979	6.0141873	19155.410	11.757808	19.699131	1982-1999 –> 2000-2009	12.846042	6.8318549	39711.699	18.944470	11	23
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	2811	5.8263396	17899.423	8.814811	18.357372	2000-2009 –> 2010-2019	10.996218	5.1698784	36155.554	22.654759	1	3
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	2811	5.8305428	17903.477	35.752863	18.410376	2000-2009 –> 2010-2019	10.997409	5.1668664	36156.136	83.583125	2	3
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2811	5.8370945	17907.791	8.233970	18.474498	2000-2009 –> 2010-2019	11.010047	5.1729524	36165.464	20.783875	4	7
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	2811	5.8364126	17907.134	23.274991	18.484355	2000-2009 –> 2010-2019	11.010443	5.1740300	36166.048	56.197369	3	7
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	2811	5.8536916	17923.754	6.086332	18.473674	2000-2009 –> 2010-2019	11.047466	5.1937740	36205.360	14.729005	5	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	2811	5.8545697	17926.597	14.817598	18.585433	2000-2009 –> 2010-2019	11.051157	5.1965873	36213.430	34.508003	7	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	2811	5.8555623	17925.550	8.103450	18.544709	2000-2009 –> 2010-2019	11.057030	5.2014682	36215.976	20.536452	8	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ aou + nitrate + silicate	2811	5.8539638	17922.016	2.719203	18.458926	2000-2009 –> 2010-2019	11.092500	5.2385363	36252.750	5.660540	6	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	2811	6.1244390	18177.951	8.017691	25.617806	2000-2009 –> 2010-2019	11.980951	5.8565125	37175.075	20.125551	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ nitrate + silicate + phosphate	2811	6.7411873	18715.376	5.608325	31.087847	2000-2009 –> 2010-2019	13.731561	6.9903732	38764.945	12.266733	10	29
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3976	4.5604741	23363.975	30.074222	17.029159	1982-1999 –> 2000-2009	9.232345	4.6718708	45830.393	55.263312	5	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	3976	4.5636019	23367.427	9.360014	17.321869	1982-1999 –> 2000-2009	9.235479	4.6718767	45831.855	16.091269	6	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3976	4.5322810	23314.663	59.843030	17.299195	1982-1999 –> 2000-2009	9.248146	4.7158646	45852.163	112.372334	1	4
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3976	4.5377540	23324.260	19.412015	16.991858	1982-1999 –> 2000-2009	9.257166	4.7194116	45867.462	33.799819	3	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3976	4.5378066	23322.352	9.570088	17.055684	1982-1999 –> 2000-2009	9.278751	4.7409441	45898.078	16.340903	4	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3976	4.5335937	23314.966	26.112132	17.652745	1982-1999 –> 2000-2009	9.285324	4.7517300	45907.926	44.278042	2	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	3976	4.6262129	23475.784	9.392546	19.077822	1982-1999 –> 2000-2009	9.346987	4.7207739	46019.176	14.321761	7	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + nitrate + silicate	3976	4.7842022	23740.818	2.762945	20.310064	1982-1999 –> 2000-2009	9.555842	4.7716402	46363.490	5.399097	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	3976	5.0777471	24216.347	10.037025	24.003766	1982-1999 –> 2000-2009	10.152900	5.0751529	47308.698	16.308728	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3976	5.5260839	24889.180	229.163163	25.291653	1982-1999 –> 2000-2009	11.153264	5.6271802	48764.592	412.494830	16	26
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4030	4.7511740	24011.282	49.168521	20.371315	2000-2009 –> 2010-2019	9.283455	4.5322810	47325.945	109.011552	3	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4030	4.7539621	24014.010	23.376950	20.261652	2000-2009 –> 2010-2019	9.287556	4.5335937	47328.976	49.489081	7	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4030	4.7511997	24011.326	11.630747	20.445088	2000-2009 –> 2010-2019	9.288954	4.5377540	47335.586	31.042762	4	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4030	4.7528155	24012.066	7.384794	20.376765	2000-2009 –> 2010-2019	9.290622	4.5378066	47334.418	16.954882	6	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	4030	4.7422002	23996.044	23.128400	19.881276	2000-2009 –> 2010-2019	9.302674	4.5604741	47360.020	53.202622	1	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	4030	4.7431858	23995.719	7.199981	19.948644	2000-2009 –> 2010-2019	9.306788	4.5636019	47363.147	16.559995	2	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	4030	4.7512175	24009.356	7.274424	20.418650	2000-2009 –> 2010-2019	9.377430	4.6262129	47485.140	16.666970	5	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + nitrate + silicate	4030	4.7560678	24015.580	2.797762	19.683611	2000-2009 –> 2010-2019	9.540270	4.7842022	47756.398	5.560706	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	4030	4.9135610	24280.156	7.721436	20.361749	2000-2009 –> 2010-2019	9.991308	5.0777471	48496.503	17.758461	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4030	5.5080110	25200.645	198.652814	25.047718	2000-2009 –> 2010-2019	11.034095	5.5260839	50089.825	427.815976	11	27
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6516	3.3618131	34306.652	32.522177	12.179746	1982-1999 –> 2000-2009	7.157397	3.7955839	65757.363	63.746586	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6516	3.3628288	34310.589	29.061913	12.349062	1982-1999 –> 2000-2009	7.167277	3.8044483	65787.940	59.611727	2	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6516	3.3645727	34315.345	11.553008	12.835912	1982-1999 –> 2000-2009	7.183648	3.8190752	65834.518	19.454097	3	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6516	3.3762505	34362.498	13.126361	12.633240	1982-1999 –> 2000-2009	7.225801	3.8495504	65974.438	25.053291	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6516	3.5900407	35160.634	9.421894	20.042093	1982-1999 –> 2000-2009	7.914241	4.3241999	68098.386	20.104886	5	11
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6516	3.6579210	35404.742	20.453264	21.200249	1982-1999 –> 2000-2009	8.208987	4.5510660	68926.448	35.697351	6	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6516	4.0511592	36735.415	331.845767	15.245656	1982-1999 –> 2000-2009	8.281587	4.2304276	69422.794	565.814303	16	21
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6516	3.7069245	35578.167	10.063629	23.302230	1982-1999 –> 2000-2009	8.379331	4.6724063	69400.364	17.820320	7	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6516	3.8495297	36070.104	7.182793	13.637294	1982-1999 –> 2000-2009	8.610256	4.7607261	70106.153	16.861247	8	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6516	3.8697620	36138.418	31.385687	13.695931	1982-1999 –> 2000-2009	8.733736	4.8639741	70419.490	57.870869	9	22
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6632	3.4065349	35092.427	21.742543	13.672942	2000-2009 –> 2010-2019	6.768348	3.3618131	69399.079	54.264719	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6632	3.4059167	35090.020	21.113912	13.683084	2000-2009 –> 2010-2019	6.768745	3.3628288	69400.609	50.175825	1	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	6632	3.4118004	35110.914	7.070282	14.527660	2000-2009 –> 2010-2019	6.776373	3.3645727	69426.259	18.623290	4	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6632	3.4076211	35096.656	9.022000	14.024899	2000-2009 –> 2010-2019	6.783872	3.3762505	69459.154	22.148362	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6632	3.6153880	35879.683	8.232974	18.940045	2000-2009 –> 2010-2019	7.205429	3.5900407	71040.317	17.654868	5	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6632	3.6623195	36050.755	13.521277	19.679779	2000-2009 –> 2010-2019	7.320240	3.6579210	71455.497	33.974542	6	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6632	3.7117830	36228.700	6.783837	21.114939	2000-2009 –> 2010-2019	7.418708	3.7069245	71806.867	16.847466	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + nitrate + silicate + phosphate_star	6632	3.8759813	36802.853	6.200440	16.047950	2000-2009 –> 2010-2019	7.725511	3.8495297	72872.957	13.383233	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	6632	4.0260523	37306.718	7.608633	31.125071	2000-2009 –> 2010-2019	7.932976	3.9069237	73569.687	20.216310	10	21
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + nitrate + silicate	6632	4.0261786	37305.135	3.003792	31.137524	2000-2009 –> 2010-2019	7.944975	3.9187962	73605.645	6.776167	11	23
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8624	3.2281143	44700.751	25.908225	19.368894	1982-1999 –> 2000-2009	6.438294	3.2101793	86606.391	58.482320	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8624	3.2339414	44731.858	37.994278	19.319503	1982-1999 –> 2000-2009	6.439037	3.2050956	86611.816	87.040448	2	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8624	3.2528973	44832.662	12.945462	19.134101	1982-1999 –> 2000-2009	6.459073	3.2061752	86718.078	28.414872	3	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8624	3.2702890	44922.634	10.678417	19.736374	1982-1999 –> 2000-2009	6.519588	3.2492992	87022.545	26.446498	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8624	3.3158872	45161.464	24.215861	19.271927	1982-1999 –> 2000-2009	6.785947	3.4700599	88326.505	50.457924	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8624	3.3446033	45310.192	27.445485	19.103140	1982-1999 –> 2000-2009	6.831544	3.4869409	88553.870	71.883028	7	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8624	3.3682493	45431.704	8.496750	18.948240	1982-1999 –> 2000-2009	6.883476	3.5152263	88806.296	20.524933	8	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	8624	3.3298161	45233.765	799.528471	21.698708	1982-1999 –> 2000-2009	6.899995	3.5701789	88859.710	1624.213577	6	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	8624	3.4325746	45755.993	2.168177	19.706189	1982-1999 –> 2000-2009	7.012871	3.5802965	89425.794	4.222872	11	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	8624	3.3828415	45506.266	17.452703	22.386244	1982-1999 –> 2000-2009	7.104099	3.7212575	89803.801	45.009534	9	19
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8100	3.3520444	42595.845	9.053691	17.861640	2000-2009 –> 2010-2019	6.604942	3.2528973	87428.508	21.999153	1	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8100	3.3855923	42757.172	33.765346	18.243167	2000-2009 –> 2010-2019	6.619534	3.2339414	87489.030	71.759624	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8100	3.4040978	42845.479	19.063882	18.485498	2000-2009 –> 2010-2019	6.632212	3.2281143	87546.231	44.972107	3	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8100	3.4256337	42945.645	10.377667	18.572246	2000-2009 –> 2010-2019	6.695923	3.2702890	87868.279	21.056084	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8100	3.4855614	43226.596	16.424803	18.796458	2000-2009 –> 2010-2019	6.801449	3.3158872	88388.060	40.640664	7	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8100	3.4732988	43169.502	25.806831	18.458807	2000-2009 –> 2010-2019	6.817902	3.3446033	88479.694	53.252316	6	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8100	3.4689861	43149.374	7.361733	18.200539	2000-2009 –> 2010-2019	6.837235	3.3682493	88581.079	15.858483	5	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	8100	3.5771695	43646.868	17.930746	21.379741	2000-2009 –> 2010-2019	6.960011	3.3828415	89153.134	35.383449	9	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	8100	3.6567961	44003.520	502.176988	21.935288	2000-2009 –> 2010-2019	6.986612	3.3298161	89237.285	1301.705460	12	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ sal + nitrate + phosphate	8100	3.5595494	43564.875	2.443478	18.973922	2000-2009 –> 2010-2019	6.992124	3.4325746	89320.868	4.611655	8	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8212	3.3889574	43364.505	15.437211	23.184710	1982-1999 –> 2000-2009	6.241982	2.8530243	77610.077	30.581793	2	3
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8212	3.3244172	43048.706	717.654006	16.931115	1982-1999 –> 2000-2009	6.479404	3.1549862	78690.065	1406.953469	1	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8212	3.4962757	43874.540	13.372128	23.534446	1982-1999 –> 2000-2009	6.543492	3.0472167	79031.701	26.872464	4	7
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8212	3.5430920	44095.003	55.765965	24.264636	1982-1999 –> 2000-2009	6.564402	3.0213096	79135.704	107.494816	6	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	8212	3.4499410	43655.424	12.443346	21.557451	1982-1999 –> 2000-2009	6.604927	3.1549862	79294.783	22.741635	3	11
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8212	3.5848234	44287.319	36.522189	25.418234	1982-1999 –> 2000-2009	6.654384	3.0695603	79547.839	72.476373	9	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + silicate + phosphate	8212	3.5868738	44294.710	13.512561	25.409225	1982-1999 –> 2000-2009	6.656534	3.0696605	79553.683	25.920693	10	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	8212	3.5462476	44107.624	30.776037	23.730025	1982-1999 –> 2000-2009	6.711277	3.1650297	79791.079	56.071663	7	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8212	3.5977352	44344.368	51.412778	24.358043	1982-1999 –> 2000-2009	6.743668	3.1459328	79943.858	99.641497	11	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	8212	3.6217210	44453.502	34.696588	25.275789	1982-1999 –> 2000-2009	6.787835	3.1661142	80141.710	70.136183	13	23
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	8664	3.2960549	45268.927	819.530705	15.945879	2000-2009 –> 2010-2019	6.576810	3.2807553	88100.496	1786.243580	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8664	3.3684463	45645.384	555.764275	16.720185	2000-2009 –> 2010-2019	6.692864	3.3244172	88694.090	1273.418281	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8664	3.6254541	46919.476	14.100062	22.863613	2000-2009 –> 2010-2019	7.014411	3.3889574	90283.981	29.537273	4	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	8664	3.6094273	46840.706	535.898627	19.348029	2000-2009 –> 2010-2019	7.105768	3.4963409	90715.552	1193.868707	3	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	8664	3.6690170	47124.446	9.480219	22.626145	2000-2009 –> 2010-2019	7.118958	3.4499410	90779.870	21.923565	5	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	8664	3.7852435	47664.845	11.186233	23.095582	2000-2009 –> 2010-2019	7.281519	3.4962757	91539.384	24.558361	6	11
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8664	3.7859693	47670.167	46.157613	23.906314	2000-2009 –> 2010-2019	7.329061	3.5430920	91765.170	101.923579	7	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	8664	3.7860815	47668.681	25.081492	23.944431	2000-2009 –> 2010-2019	7.332329	3.5462476	91776.305	55.857528	8	16
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ aou + nitrate + phosphate_star	8664	3.8137118	47792.679	3.516324	22.889602	2000-2009 –> 2010-2019	7.367591	3.5538790	91933.609	7.936652	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + phosphate	8664	3.8690721	48044.406	39.331780	23.723586	2000-2009 –> 2010-2019	7.466807	3.5977352	92388.774	90.744557	11	23
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3473	2.1777368	15275.923	684.510868	10.635193	1982-1999 –> 2000-2009	4.144298	1.9665610	28288.698	1330.529634	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3473	2.3413818	15777.196	674.760188	12.483198	1982-1999 –> 2000-2009	4.367995	2.0266128	28974.584	1307.676107	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3473	2.9162445	17304.228	27.774773	16.405842	1982-1999 –> 2000-2009	5.296901	2.3806568	31502.526	56.859842	3	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3473	2.9371229	17353.779	151.154483	15.559219	1982-1999 –> 2000-2009	5.332665	2.3955420	31590.747	295.698245	4	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3473	2.9662325	17420.282	14.904421	17.438952	1982-1999 –> 2000-2009	5.348584	2.3823513	31620.994	27.971763	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	3473	2.9539022	17391.348	14.282272	16.109263	1982-1999 –> 2000-2009	5.363158	2.4092562	31661.732	26.563764	5	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3473	3.0594195	17635.139	142.671191	15.582473	1982-1999 –> 2000-2009	5.508048	2.4486283	32006.090	279.814274	7	14
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3473	3.0964610	17718.732	26.285201	16.714091	1982-1999 –> 2000-2009	5.565089	2.4686279	32140.149	53.630421	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3473	3.1054036	17736.763	1.323589	16.544786	1982-1999 –> 2000-2009	5.583547	2.4781438	32180.049	2.383125	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	3473	3.1665046	17872.104	4.778096	18.005825	1982-1999 –> 2000-2009	5.646270	2.4797654	32319.448	8.322096	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4002	2.1245931	17402.841	627.964473	12.807873	2000-2009 –> 2010-2019	4.302330	2.1777368	32678.764	1312.475341	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4002	2.2614779	17900.596	611.836350	12.474958	2000-2009 –> 2010-2019	4.602860	2.3413818	33677.792	1286.596538	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4002	3.0850126	20388.136	127.855481	18.139029	2000-2009 –> 2010-2019	6.022136	2.9371229	37741.916	279.009964	3	7
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4002	3.1748759	20617.953	24.282782	19.286509	2000-2009 –> 2010-2019	6.091120	2.9162445	37922.181	52.057555	5	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	4002	3.1775258	20622.631	13.460891	19.219749	2000-2009 –> 2010-2019	6.131428	2.9539022	38013.979	27.743163	6	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4002	3.1629350	20585.793	112.846547	17.757196	2000-2009 –> 2010-2019	6.222354	3.0594195	38220.932	255.517738	4	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4002	3.2595263	20826.565	13.866805	20.315256	2000-2009 –> 2010-2019	6.225759	2.9662325	38246.847	28.771226	7	13
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4002	3.3285279	20994.235	21.204608	19.042952	2000-2009 –> 2010-2019	6.424989	3.0964610	38712.967	47.489809	8	16
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	4002	3.3373152	21013.338	1.264798	19.153752	2000-2009 –> 2010-2019	6.442719	3.1054036	38750.101	2.588386	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ aou + nitrate + phosphate_star	4002	3.4687037	21322.407	3.990695	20.383831	2000-2009 –> 2010-2019	6.635208	3.1665046	39194.510	8.768791	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4668	1.7378758	18420.877	666.737851	7.967306	1982-1999 –> 2000-2009	3.339063	1.6011873	34788.202	1342.126088	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4668	1.7540841	18505.546	592.313267	7.632603	1982-1999 –> 2000-2009	3.355938	1.6018542	34874.475	1207.749126	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4668	2.4478245	21618.794	220.655574	11.354698	1982-1999 –> 2000-2009	4.524421	2.0765961	40236.026	444.196250	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4668	2.4581040	21655.918	189.327734	11.234776	1982-1999 –> 2000-2009	4.536102	2.0779983	40276.992	386.751052	4	8
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4668	2.6030449	22192.792	30.977710	11.382609	1982-1999 –> 2000-2009	4.737842	2.1347974	41049.235	67.565913	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4668	2.6034324	22192.182	13.307387	11.417063	1982-1999 –> 2000-2009	4.744457	2.1410242	41071.830	24.465643	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4668	2.6588955	22388.985	25.948272	11.479758	1982-1999 –> 2000-2009	4.800091	2.1411957	41269.327	56.476936	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4668	2.6744199	22441.337	1.224278	11.403976	1982-1999 –> 2000-2009	4.818186	2.1437658	41330.060	2.324343	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4668	2.7581436	22731.122	13.490740	13.277922	1982-1999 –> 2000-2009	4.932663	2.1745193	41745.110	27.557168	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4668	2.9378054	23318.271	3.644916	13.700759	1982-1999 –> 2000-2009	5.150787	2.2129816	42481.989	7.732404	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4844	1.8210833	19567.969	572.387049	8.501178	2000-2009 –> 2010-2019	3.558959	1.7378758	37988.847	1239.124900	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4844	1.8241665	19582.358	522.231460	8.480165	2000-2009 –> 2010-2019	3.578251	1.7540841	38087.904	1114.544727	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4844	2.7747207	23647.766	198.850584	10.252446	2000-2009 –> 2010-2019	5.222545	2.4478245	45266.560	419.506158	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4844	2.7749026	23646.401	177.256448	10.272310	2000-2009 –> 2010-2019	5.233007	2.4581040	45302.319	366.584183	4	8
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	4844	3.0332018	24510.663	26.372342	11.433775	2000-2009 –> 2010-2019	5.636247	2.6030449	46703.455	57.350053	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4844	3.0343968	24512.479	11.774124	11.444719	2000-2009 –> 2010-2019	5.637829	2.6034324	46704.661	25.081511	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	4844	3.0569051	24584.077	21.907596	11.314597	2000-2009 –> 2010-2019	5.715801	2.6588955	46973.062	47.855868	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4844	3.0683652	24618.328	1.134378	11.314443	2000-2009 –> 2010-2019	5.742785	2.6744199	47059.665	2.358657	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4844	3.2069175	25048.202	12.045959	12.440556	2000-2009 –> 2010-2019	5.965061	2.7581436	47779.324	25.536700	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ aou + nitrate + phosphate_star	4844	3.3387777	25436.576	3.049608	13.670856	2000-2009 –> 2010-2019	6.276583	2.9378054	48754.846	6.694524	10	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6705	1.7333837	26418.477	774.281170	7.390790	1982-1999 –> 2000-2009	3.506409	1.7730249	55247.316	1443.804915	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6705	1.7785353	26761.311	654.990627	7.618076	1982-1999 –> 2000-2009	3.578793	1.8002580	55808.685	1255.628519	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6705	2.1117487	29066.160	305.681770	8.582926	1982-1999 –> 2000-2009	4.059738	1.9479893	59256.593	591.425561	3	11
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6705	2.2206893	29740.700	29.512719	9.693783	1982-1999 –> 2000-2009	4.067131	1.8464421	59156.557	58.143004	6	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6705	2.2225201	29749.752	23.588040	9.809471	1982-1999 –> 2000-2009	4.069667	1.8471465	59169.127	48.751682	8	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	6705	2.1439364	29267.016	260.243274	8.911585	1982-1999 –> 2000-2009	4.099173	1.9552365	59509.174	525.593228	4	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6705	2.2653300	30005.597	11.956874	11.272733	1982-1999 –> 2000-2009	4.139647	1.8743169	59636.237	19.351513	10	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ aou + nitrate + phosphate_star	6705	2.2732390	30050.334	3.601814	11.386068	1982-1999 –> 2000-2009	4.151621	1.8783818	59710.318	7.019436	11	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	6705	2.2208400	29739.610	13.788648	9.644414	1982-1999 –> 2000-2009	4.168836	1.9479965	59928.095	22.366070	7	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	6705	2.2237563	29755.208	3.349001	9.698857	1982-1999 –> 2000-2009	4.179687	1.9559307	60000.502	6.542506	9	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	7539	2.0260616	32055.237	626.697164	9.287682	2000-2009 –> 2010-2019	3.759445	1.7333837	58473.714	1400.978334	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7539	2.0957700	32563.285	550.710899	9.795977	2000-2009 –> 2010-2019	3.874305	1.7785353	59324.596	1205.701526	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	7539	2.2737128	33794.037	245.884582	9.747685	2000-2009 –> 2010-2019	4.385461	2.1117487	62860.197	551.566352	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate	7539	2.3770747	34462.352	224.031152	10.681291	2000-2009 –> 2010-2019	4.521011	2.1439364	63729.368	484.274426	4	8
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	7539	2.3939145	34570.792	21.461406	10.190896	2000-2009 –> 2010-2019	4.614604	2.2206893	64311.493	50.974125	5	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	7539	2.4172804	34715.248	11.287199	11.943505	2000-2009 –> 2010-2019	4.638120	2.2208400	64454.858	25.075847	6	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	7539	2.4590491	34973.558	18.360048	10.953125	2000-2009 –> 2010-2019	4.681569	2.2225201	64723.310	41.948088	7	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	7539	2.4625588	34993.064	2.403560	10.981987	2000-2009 –> 2010-2019	4.686315	2.2237563	64748.271	5.752561	8	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	7539	2.6264165	35966.379	615.208256	17.565877	2000-2009 –> 2010-2019	4.843088	2.2166712	65680.793	1321.309502	10	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	7539	2.6694342	36211.339	9.501149	14.647049	2000-2009 –> 2010-2019	4.934764	2.2653300	66216.936	21.458022	13	23
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3580	1.3649629	12401.271	513.016739	9.643991	1982-1999 –> 2000-2009	2.883685	1.5187215	27410.967	947.818836	1	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3580	1.3765091	12459.583	423.676002	9.820567	1982-1999 –> 2000-2009	2.895236	1.5187270	27467.308	789.948119	2	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3580	1.3877684	12517.910	503.815266	9.899015	1982-1999 –> 2000-2009	2.908668	1.5209000	27537.308	936.664846	3	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + phosphate + phosphate_star	3580	1.3879341	12516.765	407.657443	9.908452	1982-1999 –> 2000-2009	2.910661	1.5227265	27543.962	746.802905	4	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	3580	1.4300669	12734.884	35.744902	10.104959	1982-1999 –> 2000-2009	2.913510	1.4834432	27552.701	78.336918	9	10
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3580	1.4083591	12625.365	159.090376	9.986152	1982-1999 –> 2000-2009	2.924409	1.5160497	27620.686	328.612621	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	3580	1.4361258	12763.155	19.908510	10.264131	1982-1999 –> 2000-2009	2.926515	1.4903893	27617.110	43.986070	10	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3580	1.4147529	12655.797	157.281009	10.143615	1982-1999 –> 2000-2009	2.935449	1.5206959	27674.099	326.011343	6	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	3580	1.4532090	12847.823	13.186300	10.425774	1982-1999 –> 2000-2009	2.937146	1.4839365	27666.355	21.763741	13	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	3580	1.4249550	12707.244	148.491540	10.241431	1982-1999 –> 2000-2009	2.941005	1.5160498	27700.565	305.057043	7	13
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5001	1.6416881	19164.465	429.689461	14.987627	2000-2009 –> 2010-2019	3.006651	1.3649629	31565.736	942.706200	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5001	1.6642433	19298.947	371.928559	15.740550	2000-2009 –> 2010-2019	3.040752	1.3765091	31758.530	795.604561	5	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5001	1.6735170	19354.527	429.660757	15.765627	2000-2009 –> 2010-2019	3.061285	1.3877684	31872.437	933.476023	6	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ aou + phosphate + phosphate_star	5001	1.6763063	19369.184	336.383912	15.924687	2000-2009 –> 2010-2019	3.064240	1.3879341	31885.949	744.041354	7	11
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	5001	1.6575257	19260.493	123.589685	14.817563	2000-2009 –> 2010-2019	3.065885	1.4083591	31885.858	282.680061	3	8
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	5001	1.6568870	19256.638	27.807904	14.861875	2000-2009 –> 2010-2019	3.086954	1.4300669	31991.522	63.552805	2	11
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate	5001	1.6778924	19380.643	121.838064	15.784187	2000-2009 –> 2010-2019	3.092645	1.4147529	32036.440	279.119074	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	5001	1.6575259	19258.495	20.483145	14.817284	2000-2009 –> 2010-2019	3.104864	1.4473379	32077.333	54.575226	4	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + silicate + phosphate	5001	1.6881000	19441.307	87.549382	15.812181	2000-2009 –> 2010-2019	3.113055	1.4249550	32148.551	236.040922	13	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	5001	1.6779733	19381.125	17.316405	15.838543	2000-2009 –> 2010-2019	3.114099	1.4361258	32144.281	37.224915	9	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	6734	1.2882534	22535.538	252.889831	9.023438	1982-1999 –> 2000-2009	2.756490	1.4682363	48090.842	443.848020	1	2
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6734	1.2951832	22605.792	5.496977	8.926958	1982-1999 –> 2000-2009	2.847317	1.5521336	48946.281	10.707085	2	5
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	6734	1.3032180	22691.083	258.118936	8.626457	1982-1999 –> 2000-2009	2.860458	1.5572398	49080.099	464.706392	3	7
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	6734	1.3321547	22984.856	165.024323	9.083591	1982-1999 –> 2000-2009	2.867175	1.5350206	49168.291	294.878452	15	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6734	1.3051551	22709.088	6.470376	8.671736	1982-1999 –> 2000-2009	2.889888	1.5847332	49344.025	12.525254	4	10
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + aou + phosphate_star	6734	1.3346672	23008.233	2.888461	9.167250	1982-1999 –> 2000-2009	2.899351	1.5646842	49460.808	5.812665	17	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6734	1.3080713	22741.146	339.097226	8.256446	1982-1999 –> 2000-2009	2.935164	1.6270928	49751.766	612.854335	5	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	6734	1.3421227	23085.257	138.642244	8.913305	1982-1999 –> 2000-2009	2.948183	1.6060598	49909.562	253.751658	19	26
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	6734	1.3151267	22813.594	308.230579	8.260822	1982-1999 –> 2000-2009	2.948236	1.6331096	49876.501	570.330055	9	19
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6734	1.3208861	22870.446	295.597623	8.679993	1982-1999 –> 2000-2009	2.954744	1.6338577	49937.840	548.022354	11	23
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	8313	1.4521935	29808.019	242.264150	12.368123	2000-2009 –> 2010-2019	2.740447	1.2882534	52343.558	495.153981	3	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	8313	1.4493625	29775.577	240.680538	11.833239	2000-2009 –> 2010-2019	2.752581	1.3032180	52466.659	498.799474	1	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	8313	1.4612414	29909.287	4.814143	12.261797	2000-2009 –> 2010-2019	2.756425	1.2951832	52515.079	10.311120	8	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	8313	1.4527557	29814.455	313.108762	11.425263	2000-2009 –> 2010-2019	2.760827	1.3080713	52555.602	652.205988	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	8313	1.4598349	29893.276	6.627186	12.005140	2000-2009 –> 2010-2019	2.764990	1.3051551	52602.364	13.097561	6	10
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	8313	1.4517498	29802.939	276.525699	11.440433	2000-2009 –> 2010-2019	2.766876	1.3151267	52616.533	584.756278	2	11
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	8313	1.4618030	29915.675	195.480706	11.544382	2000-2009 –> 2010-2019	2.772126	1.3103229	52677.984	382.236771	9	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	8313	1.4539296	29825.884	257.297247	11.295290	2000-2009 –> 2010-2019	2.774816	1.3208861	52696.330	552.894870	5	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + silicate + phosphate	8313	1.4603838	29899.526	34.795485	11.523480	2000-2009 –> 2010-2019	2.776601	1.3162175	52722.287	84.939940	7	17
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + silicate + phosphate	8313	1.4678239	29982.015	32.885761	11.264658	2000-2009 –> 2010-2019	2.788753	1.3209292	52850.901	77.848738	10	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	3695	0.9296751	9961.076	213.948234	6.067592	1982-1999 –> 2000-2009	2.628479	1.6988043	24486.312	404.277760	1	3
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	3695	0.9643633	10231.794	158.114370	6.870382	1982-1999 –> 2000-2009	2.856365	1.8920018	25559.043	320.212839	4	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	3695	0.9657647	10240.525	149.113562	6.980509	1982-1999 –> 2000-2009	2.880950	1.9151853	25656.459	309.112302	6	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + nitrate + silicate + phosphate + phosphate_star	3695	1.3989727	12981.061	157.690710	7.874036	1982-1999 –> 2000-2009	3.080129	1.6811564	27428.540	305.530523	8	9
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + nitrate + phosphate + phosphate_star	3695	1.4184909	13081.452	150.576485	8.258734	1982-1999 –> 2000-2009	3.130265	1.7117744	27661.320	292.645429	9	12
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3695	0.9508696	10127.660	168.788832	6.369012	1982-1999 –> 2000-2009	3.130552	2.1796827	26508.845	353.240577	2	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3695	0.9518394	10133.193	159.510784	6.442250	1982-1999 –> 2000-2009	3.133712	2.1818723	26519.855	341.069030	3	23
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	3695	0.9644449	10230.418	155.141702	6.853601	1982-1999 –> 2000-2009	3.160051	2.1956065	26663.803	317.217120	5	27
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	3695	0.9659974	10240.305	144.109617	6.959094	1982-1999 –> 2000-2009	3.164323	2.1983260	26680.907	303.945116	7	30
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3695	1.4265248	13125.189	39.260646	7.607549	1982-1999 –> 2000-2009	3.274369	1.8478436	28276.593	74.310916	10	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	4446	1.0769059	13290.028	354.789944	17.620345	2000-2009 –> 2010-2019	2.006581	0.9296751	23251.104	568.738178	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4446	1.1195000	13634.949	316.801683	18.406768	2000-2009 –> 2010-2019	2.070370	0.9508696	23762.609	485.590514	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4446	1.1196955	13634.503	308.675175	18.458487	2000-2009 –> 2010-2019	2.071535	0.9518394	23767.696	468.185959	3	6
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	4446	1.1248220	13677.121	265.066627	18.164470	2000-2009 –> 2010-2019	2.089185	0.9643633	23908.915	423.180997	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + phosphate	4446	1.1256506	13681.669	249.498662	18.270253	2000-2009 –> 2010-2019	2.091415	0.9657647	23922.194	398.612224	5	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	4446	1.1355313	13759.380	262.965451	18.455452	2000-2009 –> 2010-2019	2.099976	0.9644449	23989.799	418.107153	6	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + phosphate	4446	1.1366559	13766.183	246.819446	18.583876	2000-2009 –> 2010-2019	2.102653	0.9659974	24006.487	390.929063	7	14
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4446	1.4368834	15854.342	30.413242	21.581855	2000-2009 –> 2010-2019	2.863408	1.4265248	28979.531	69.673888	8	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4446	1.4370594	15853.431	26.778181	21.534728	2000-2009 –> 2010-2019	2.863639	1.4265797	28976.904	64.575766	9	20
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	4446	1.4373229	15855.062	11.905783	21.591000	2000-2009 –> 2010-2019	2.865591	1.4282685	28987.278	23.104867	10	24
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	825	0.6981484	1762.365	183.452143	4.821538	1982-1999 –> 2000-2009	1.390100	0.6919516	3989.137	289.032762	2	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	825	0.6612570	1672.788	719.962620	1.712568	1982-1999 –> 2000-2009	1.481483	0.8202261	4257.715	1178.790440	1	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	825	0.7440697	1867.475	309.993761	4.082503	1982-1999 –> 2000-2009	1.492845	0.7487749	4260.458	634.436747	3	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	825	0.7748698	1934.399	88.536013	5.618778	1982-1999 –> 2000-2009	1.520739	0.7458695	4319.195	163.484246	6	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	825	0.7675742	1916.790	6.486472	5.261599	1982-1999 –> 2000-2009	1.523478	0.7559034	4327.728	10.665064	4	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	825	0.7794752	1942.177	6.887116	5.444000	1982-1999 –> 2000-2009	1.545238	0.7657630	4380.407	11.196661	8	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	825	0.7918434	1968.152	6.521456	5.159120	1982-1999 –> 2000-2009	1.590955	0.7991118	4496.157	10.337670	9	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	825	0.7687588	1919.335	176.476260	2.578317	1982-1999 –> 2000-2009	1.612784	0.8440249	4562.498	281.190543	5	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	825	0.7773610	1937.695	286.616632	2.825815	1982-1999 –> 2000-2009	1.662779	0.8854179	4681.689	605.273643	7	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate_star	825	0.8275571	2040.941	80.889785	3.319992	1982-1999 –> 2000-2009	1.717613	0.8900559	4795.938	154.272870	11	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + phosphate + phosphate_star	1167	0.5279260	1834.846	876.884725	4.870073	2000-2009 –> 2010-2019	1.189183	0.6612570	3507.633	1596.847346	2	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1167	0.5039694	1726.453	962.068283	5.962483	2000-2009 –> 2010-2019	1.248039	0.7440697	3593.928	1272.062044	1	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1167	0.6168343	2198.119	97.405483	4.035150	2000-2009 –> 2010-2019	1.314983	0.6981484	3960.484	280.857626	4	6
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + phosphate	1167	0.5461407	1912.016	874.387883	6.047029	2000-2009 –> 2010-2019	1.323502	0.7773610	3849.711	1161.004515	3	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	1167	0.6455480	2302.314	8.319892	4.307547	2000-2009 –> 2010-2019	1.413122	0.7675742	4219.105	14.806363	5	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star	1167	0.6683843	2385.453	93.082155	4.343796	2000-2009 –> 2010-2019	1.443254	0.7748698	4319.852	181.618168	6	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1167	0.6748035	2405.762	92.116692	3.390689	2000-2009 –> 2010-2019	1.443562	0.7687588	4325.097	268.592952	8	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	1167	0.6717170	2395.062	8.333494	4.397461	2000-2009 –> 2010-2019	1.451192	0.7794752	4337.238	15.220610	7	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1167	0.6931480	2468.364	4.399364	4.487293	2000-2009 –> 2010-2019	1.484991	0.7918434	4436.516	10.920820	9	18
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + phosphate	1167	0.7453892	2635.959	6.213534	3.576781	2000-2009 –> 2010-2019	1.565429	0.8200400	4659.844	11.060088	11	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	12.343184	7745.925
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	12.275699	6877.230
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	13.738874	8412.859
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	12.548517	7576.215
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	10.181975	7477.833
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	11.066599	5795.251
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	9.799765	14759.281
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.982593	11790.331
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	9.492897	25601.945
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	9.527470	20542.545
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.545932	47227.492
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.509676	41408.126
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	9.758515	81291.273
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	11.653635	72078.404
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	7.926616	32395.862
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	9.884179	31096.182
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	8.378211	76685.252
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	10.552139	68027.684
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	8.889238	125012.435
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	8.643729	82336.718
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.493705	25152.035
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.416939	20712.248
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.680077	24112.276
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.587318	21536.216
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	9.901039	19228.980
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.923358	15840.883
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	4.988921	33147.781
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	5.208047	26496.735
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	24.195572	68059.155
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	23.713840	81600.406
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	13.226491	45136.831
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	14.710368	41719.178
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	10.211937	36866.629
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	11.397478	36547.074
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	9.574620	46364.383
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	9.570315	47787.596
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.886226	67972.789
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	7.264518	71203.607
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.737392	88073.481
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.794794	88349.217
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.598790	79274.050
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.128612	90797.723
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	5.215656	31228.501
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.910090	37315.999
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	4.493955	39912.325
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	5.256707	45062.064
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	4.002070	58742.260
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	4.493868	63452.354
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.917628	27579.106
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.075043	31936.664
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.890701	49356.602
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.765444	52604.730
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	3.043920	26544.168
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	2.312435	25355.252
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.553801	4407.092
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.387726	4120.941

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
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

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
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

The number of models where a particular predictor was included were counted for each basin, density slab and compared eras

# calculate cases of predictor used
lm_all_stats <- lm_best_long %>% 
  filter(term != "(Intercept)",
         delta_coeff != 0) %>% 
  group_by(basin, eras, gamma_slab) %>% 
  count(term) %>% 
  ungroup() %>% 
  pivot_wider(values_from = n,
              names_from = term,
              values_fill = 0)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )

	aou	nitrate	phosphate	phosphate_star	sal	silicate
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	10	9	6	8	6	5
(26,26.5]	7	6	5	5	9	10
(26.5,26.75]	6	5	6	4	10	10
(26.75,27]	7	6	5	5	9	10
(27,27.25]	7	10	6	4	6	9
(27.25,27.5]	8	10	5	5	6	8
(27.5,27.75]	8	10	5	5	7	7
(27.75,27.85]	8	10	6	7	7	7
(27.85,27.95]	10	7	8	6	7	7
(27.95,28.05]	8	5	10	6	8	5
(28.05,28.1]	10	4	9	6	5	5
(28.1,28.15]	10	3	7	6	5	6
(28.15,28.2]	9	3	6	5	5	8
(28.2, Inf]	6	5	5	8	10	6
total	114.00	93.00	89.00	80.00	100.00	103.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	10	9	6	8	6	5
(26,26.5]	8	6	5	5	8	10
(26.5,26.75]	6	5	6	4	10	10
(26.75,27]	7	6	5	5	9	10
(27,27.25]	7	10	6	4	6	9
(27.25,27.5]	7	9	6	4	6	10
(27.5,27.75]	7	10	6	5	5	10
(27.75,27.85]	7	10	7	7	6	8
(27.85,27.95]	10	7	8	6	7	7
(27.95,28.05]	8	5	10	6	8	5
(28.05,28.1]	10	4	9	6	5	5
(28.1,28.15]	10	3	7	6	5	6
(28.15,28.2]	7	3	5	7	6	9
(28.2, Inf]	6	5	5	8	10	6
total	110.00	92.00	91.00	81.00	97.00	110.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	8	6	7	10	7	7
(26,26.5]	6	10	6	4	5	10
(26.5,26.75]	7	10	5	5	6	9
(26.75,27]	7	9	6	5	5	10
(27,27.25]	6	9	7	6	6	9
(27.25,27.5]	5	10	8	6	8	5
(27.5,27.75]	7	10	7	6	7	7
(27.75,27.85]	10	10	4	6	6	5
(27.85,27.95]	10	10	4	6	6	5
(27.95,28.05]	10	10	4	6	6	5
(28.05,28.1]	10	6	7	7	6	6
(28.1,28.2]	7	7	6	8	8	7
(28.2,28.3]	8	9	10	6	6	5
(28.3, Inf]	10	6	6	6	10	6
total	111.00	122.00	87.00	87.00	92.00	96.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	9	10	7	6
(26,26.5]	6	10	6	4	5	10
(26.5,26.75]	6	10	6	4	5	10
(26.75,27]	7	9	6	5	5	10
(27,27.25]	6	10	5	5	6	10
(27.25,27.5]	5	10	8	6	8	5
(27.5,27.75]	10	10	6	7	5	5
(27.75,27.85]	10	10	4	6	6	5
(27.85,27.95]	10	10	4	6	6	5
(27.95,28.05]	10	9	5	6	6	6
(28.05,28.1]	10	7	7	6	6	6
(28.1,28.2]	8	5	8	6	6	10
(28.2,28.3]	10	7	10	5	6	5
(28.3, Inf]	10	5	7	5	10	6
total	115.00	118.00	91.00	81.00	87.00	99.00

6.4 RMSE alternatives

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

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

Past versions of aic_vs_rmse_all_models-1.png

Version	Author	Date
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
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