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: 173b7a0

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/README
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_444444_256x240.png
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_777620_256x240.png
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/index.html
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.css
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.js

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	d5e4458	Donghe-Zhu	2021-07-30	Build site.
html	10a97ef	Donghe-Zhu	2021-07-30	Build site.
html	1c501fd	Donghe-Zhu	2021-07-30	Build site.
html	68bce3f	Donghe-Zhu	2021-07-30	Build site.
html	400c457	Donghe-Zhu	2021-07-29	Build site.
html	3ba7852	Donghe-Zhu	2021-07-29	Build site.
html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
Rmd	0f6c901	Donghe-Zhu	2021-07-29	local rebuild
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.
Rmd	9627e07	Donghe-Zhu	2021-07-28	local rebuild
html	a4ddd84	Donghe-Zhu	2021-07-27	Build site.
html	7ef49ab	Donghe-Zhu	2021-07-27	Build site.
html	da818c0	Donghe-Zhu	2021-07-27	Build site.
html	8623898	Donghe-Zhu	2021-07-27	Build site.
html	f84b77c	Donghe-Zhu	2021-07-27	Build site.
html	70ad9a5	Donghe-Zhu	2021-07-27	Build site.
html	0d0b48d	Donghe-Zhu	2021-07-27	Build site.
Rmd	376ec48	Donghe-Zhu	2021-07-27	local rebuild
html	d0d97c6	Donghe-Zhu	2021-07-27	Build site.
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html	780627d	Donghe-Zhu	2021-07-27	Build site.
html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
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.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
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.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
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.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
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.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
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.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
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html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
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.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
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	94a833e	Donghe-Zhu	2021-05-27	Build site.
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html	951e188	Donghe-Zhu	2021-05-27	Build site.
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	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
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html	b883157	Donghe-Zhu	2021-03-27	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	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
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html	134ace1	Donghe-Zhu	2021-03-22	Build site.
html	f6d70a4	Donghe-Zhu	2021-03-22	Build site.
html	183443b	Donghe-Zhu	2021-03-21	Build site.
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html	2e6976b	Donghe-Zhu	2021-03-21	Build site.
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html	51a42bd	Donghe-Zhu	2021-03-16	Build site.
html	f745381	Donghe-Zhu	2021-03-16	Build site.
html	aecbf75	Donghe-Zhu	2021-03-14	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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html	9b7bc66	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, temp, oxygen, aou, nitrate, silicate

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	139	2.1546879	621.8705	183.624785	6.264695	1982-1999 –> 2000-2009	3.6891553	1.5344674	1049.626	367.641527	1	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	139	2.3601720	647.1931	146.370717	6.144052	1982-1999 –> 2000-2009	3.7933599	1.4331879	1059.653	320.213833	3	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	139	2.5827845	672.2502	365.544005	5.366071	1982-1999 –> 2000-2009	3.9836913	1.4009068	1079.607	525.333368	5	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	139	2.6787894	680.3964	96.955837	6.370330	1982-1999 –> 2000-2009	4.2798130	1.6010236	1115.663	103.318207	7	15
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	139	2.6556969	677.9895	80.778339	8.110323	1982-1999 –> 2000-2009	4.3081729	1.6524761	1120.341	98.425902	6	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	139	2.8548723	698.0945	76.222802	6.602905	1982-1999 –> 2000-2009	4.3282908	1.4734185	1114.756	80.212460	11	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	139	2.8443912	697.0720	65.244884	6.817392	1982-1999 –> 2000-2009	4.3379270	1.4935357	1116.771	69.248923	8	12
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	139	2.8541668	698.0257	38.724336	8.008092	1982-1999 –> 2000-2009	4.4475762	1.5934094	1132.224	48.522969	10	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	139	2.8481502	697.4391	95.481082	6.530270	1982-1999 –> 2000-2009	4.4918995	1.6437493	1138.605	103.031340	9	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	139	3.2980435	738.2105	91.353935	9.809338	1982-1999 –> 2000-2009	4.8710572	1.5730137	1169.523	101.193630	16	22
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	95	2.9399513	488.4930	226.279247	8.207312	2000-2009 –> 2010-2019	5.0946392	2.1546879	1110.363	409.904032	1	2
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	95	2.9892936	489.6554	4.013865	8.420814	2000-2009 –> 2010-2019	5.6680829	2.6787894	1170.052	100.969702	2	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	95	3.1378399	498.8699	11.957572	8.089568	2000-2009 –> 2010-2019	5.7935368	2.6556969	1176.859	92.735912	3	9
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	95	3.8372592	537.1024	13.242267	11.436382	2000-2009 –> 2010-2019	5.9971420	2.1598828	1157.642	40.539789	11	13
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	95	3.6636536	530.3059	227.083174	9.767577	2000-2009 –> 2010-2019	6.0238256	2.3601720	1177.499	373.453891	4	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	95	3.6842471	531.3709	236.823831	10.087144	2000-2009 –> 2010-2019	6.2670317	2.5827845	1203.621	602.367836	5	10
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	95	3.8594470	538.1979	12.696022	11.489256	2000-2009 –> 2010-2019	6.3351956	2.4757486	1196.682	36.097260	13	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	95	3.6979497	530.0762	17.756783	9.959784	2000-2009 –> 2010-2019	6.5528220	2.8548723	1228.171	93.979584	6	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	95	3.7058244	530.4804	17.015108	10.110492	2000-2009 –> 2010-2019	6.5539746	2.8481502	1227.920	112.496191	7	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	95	3.7128111	530.8383	3.799011	10.398742	2000-2009 –> 2010-2019	6.5572023	2.8443912	1227.910	69.043895	8	16
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	423	4.6567116	2515.8319	162.258177	16.019026	1982-1999 –> 2000-2009	9.7109315	5.0542199	6851.520	379.240015	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	423	4.7971942	2540.9764	42.118404	16.605319	1982-1999 –> 2000-2009	9.9456338	5.1484395	6902.929	85.950076	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	423	4.8807549	2555.5857	43.086751	16.367814	1982-1999 –> 2000-2009	10.0594775	5.1787226	6925.878	85.626647	5	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	423	4.6980016	2521.3001	136.953358	20.867370	1982-1999 –> 2000-2009	10.2265386	5.5285370	6982.542	290.285545	2	12
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	423	5.0079769	2575.3551	41.763319	14.345245	1982-1999 –> 2000-2009	10.4840293	5.4760524	7023.032	84.048793	7	14
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	423	5.0090096	2575.5295	39.189001	13.483852	1982-1999 –> 2000-2009	10.4962745	5.4872649	7026.115	82.987146	8	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	423	4.8342581	2545.4876	15.914915	21.312216	1982-1999 –> 2000-2009	10.5220671	5.6878090	7047.117	25.712171	4	16
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	423	5.0428545	2581.2266	38.970085	12.407193	1982-1999 –> 2000-2009	10.5523754	5.5095209	7037.568	122.497730	9	18
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	423	4.9273126	2561.6175	16.277779	21.360154	1982-1999 –> 2000-2009	10.7018068	5.7744942	7084.755	26.616310	6	22
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + silicate	423	5.6368102	2675.4253	142.864961	11.769189	1982-1999 –> 2000-2009	10.9466260	5.3098157	7079.266	281.381802	13	17
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	434	4.2862202	2508.9304	216.244354	16.353885	2000-2009 –> 2010-2019	8.9429318	4.6567116	5024.762	378.502531	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	434	4.3721022	2526.1504	68.419565	17.860226	2000-2009 –> 2010-2019	9.1692965	4.7971942	5067.127	110.537969	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	434	4.3759463	2526.9132	65.679095	18.177014	2000-2009 –> 2010-2019	9.2567012	4.8807549	5082.499	108.765846	4	9
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	434	4.6828311	2583.7463	62.284540	16.755220	2000-2009 –> 2010-2019	9.6908080	5.0079769	5159.101	104.047859	8	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	434	4.6844447	2584.0454	66.180264	16.813708	2000-2009 –> 2010-2019	9.6934543	5.0090096	5159.575	105.369265	9	17
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	434	4.6899766	2585.0698	132.950113	16.991241	2000-2009 –> 2010-2019	9.7328312	5.0428545	5166.296	171.920198	11	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + silicate	434	4.3001922	2509.7553	113.943089	15.084589	2000-2009 –> 2010-2019	9.9370024	5.6368102	5185.181	256.808049	2	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	434	4.4041211	2530.4840	7.846894	16.042600	2000-2009 –> 2010-2019	10.1773962	5.7732751	5226.147	24.328654	6	21
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + silicate	434	4.4195253	2533.5147	7.137179	16.220266	2000-2009 –> 2010-2019	10.2026480	5.7831227	5230.619	23.867217	7	24
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	434	4.3798590	2525.6890	8.577285	18.778816	2000-2009 –> 2010-2019	10.3170932	5.9372342	5245.043	25.686242	5	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	780	3.4849665	4175.1392	58.180266	13.055882	1982-1999 –> 2000-2009	7.1749974	3.6900309	10183.201	99.951988	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	780	3.5583965	4207.6677	61.335908	12.953986	1982-1999 –> 2000-2009	7.2384763	3.6800798	10209.788	103.117583	3	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	780	3.5502422	4202.0888	37.015491	13.537922	1982-1999 –> 2000-2009	7.2613444	3.7111022	10220.677	53.019034	2	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	780	3.6624756	4250.6414	36.582173	12.227521	1982-1999 –> 2000-2009	7.5028011	3.8403255	10344.532	52.699506	4	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	780	3.6763336	4256.5330	45.290926	12.011468	1982-1999 –> 2000-2009	7.5258754	3.8495418	10355.697	61.627769	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	780	3.8011027	4308.5984	37.665513	13.360620	1982-1999 –> 2000-2009	7.6630227	3.8619201	10414.825	96.377019	6	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	780	4.0582952	4410.7344	40.664757	14.808911	1982-1999 –> 2000-2009	7.9841371	3.9258419	10553.077	56.412600	7	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	780	4.7607445	4659.7744	58.973090	15.711059	1982-1999 –> 2000-2009	8.7749320	4.0141876	10851.076	99.798438	14	22
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	780	5.0013898	4736.7008	58.009257	15.598295	1982-1999 –> 2000-2009	9.0465823	4.0451924	10944.930	98.839450	17	26
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + oxygen + nitrate	780	4.8065603	4672.7156	30.071771	15.891252	1982-1999 –> 2000-2009	9.0539882	4.2474279	10986.270	43.717686	16	28
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	701	4.7325202	4182.7018	651.531163	16.063824	2000-2009 –> 2010-2019	8.2100905	3.4775703	8354.527	1036.702541	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	701	4.7447053	4186.3069	38.729372	16.707301	2000-2009 –> 2010-2019	8.2296717	3.4849665	8361.446	96.909639	2	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	701	4.7700326	4193.7709	40.542302	17.267040	2000-2009 –> 2010-2019	8.3284291	3.5583965	8401.439	101.878209	3	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	701	4.8292625	4209.0725	38.434438	16.413687	2000-2009 –> 2010-2019	8.3795047	3.5502422	8411.161	75.449929	6	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	701	4.8252257	4207.9001	36.919312	16.612703	2000-2009 –> 2010-2019	8.4877013	3.6624756	8458.541	73.501485	5	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	701	4.8594077	4217.7968	38.389550	17.128500	2000-2009 –> 2010-2019	8.5357413	3.6763336	8474.330	83.680476	7	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	701	4.7944235	4198.9216	86.620286	15.474807	2000-2009 –> 2010-2019	8.5955262	3.8011027	8507.520	124.285798	4	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	701	5.0716605	4277.7347	40.085084	16.536491	2000-2009 –> 2010-2019	9.1299557	4.0582952	8688.469	80.749841	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + silicate	701	5.4440220	4377.0662	624.701578	18.474022	2000-2009 –> 2010-2019	9.7490010	4.3049790	8879.855	997.958596	9	18
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + silicate	701	5.4450755	4375.3375	26.864443	18.419906	2000-2009 –> 2010-2019	9.9261642	4.4810888	8938.673	40.381125	10	22
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1315	3.9870526	7383.2358	103.014089	30.767506	1982-1999 –> 2000-2009	7.5365510	3.5494984	17844.783	151.722267	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1315	3.9908966	7383.7702	101.116564	30.504582	1982-1999 –> 2000-2009	7.5615635	3.5706668	17866.448	145.804104	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1315	4.0322360	7412.8727	115.064029	30.586328	1982-1999 –> 2000-2009	7.6102479	3.5780119	17905.544	163.962618	3	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1315	4.1171556	7465.6858	97.736443	30.484131	1982-1999 –> 2000-2009	7.9656644	3.8485088	18239.854	138.843710	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1315	4.4359647	7661.8380	98.098366	33.325757	1982-1999 –> 2000-2009	8.3218020	3.8858372	18473.556	141.620528	10	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1315	4.4259921	7655.9187	107.295555	32.508229	1982-1999 –> 2000-2009	8.3499478	3.9239557	18505.610	151.072937	9	19
Atlantic	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1315	4.6466906	7783.8967	101.744069	35.619967	1982-1999 –> 2000-2009	8.5046152	3.8579246	18567.571	194.042144	13	21
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	1315	4.8947535	7920.6794	51.819066	14.891262	1982-1999 –> 2000-2009	8.5473897	3.6526363	18491.648	91.642813	17	21
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	1315	4.9013414	7922.2168	45.669541	14.769722	1982-1999 –> 2000-2009	8.5699652	3.6686238	18508.174	66.850422	18	23
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1315	4.9360019	7942.7498	62.863621	15.036456	1982-1999 –> 2000-2009	8.6432334	3.7072314	18571.431	102.611269	19	25
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1421	5.3144045	8793.9597	69.121275	34.376656	2000-2009 –> 2010-2019	9.3014571	3.9870526	16177.195	172.135364	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1421	5.3192954	8794.5740	65.981572	34.175005	2000-2009 –> 2010-2019	9.3101921	3.9908966	16178.344	167.098137	4	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1421	5.2983398	8785.3557	71.999682	33.884201	2000-2009 –> 2010-2019	9.3305757	4.0322360	16198.228	187.063711	1	4
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1421	5.3153405	8792.4602	62.260602	34.681022	2000-2009 –> 2010-2019	9.4324961	4.1171556	16258.146	159.997046	3	10
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + silicate	1421	5.6271922	8954.4926	30.552148	46.405599	2000-2009 –> 2010-2019	9.6786390	4.0514467	16377.866	77.343753	5	9
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + silicate	1421	5.6631282	8970.5843	3.642380	46.732598	2000-2009 –> 2010-2019	9.7153295	4.0522013	16392.447	7.133036	8	13
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + silicate	1421	5.6328954	8957.3715	30.565410	46.479125	2000-2009 –> 2010-2019	9.7352454	4.1023500	16413.583	77.338054	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + silicate	1421	5.6408545	8959.3844	4.020350	46.655142	2000-2009 –> 2010-2019	9.7846544	4.1437999	16440.035	8.260063	7	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1421	5.8244809	9052.4259	68.658349	32.011888	2000-2009 –> 2010-2019	10.2504730	4.4259921	16708.345	175.953904	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1421	5.8374565	9058.7502	65.839726	32.521627	2000-2009 –> 2010-2019	10.2734213	4.4359647	16720.588	163.938092	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1983	3.3883751	10481.4203	542.833138	17.993558	1982-1999 –> 2000-2009	6.0307642	2.6423891	22869.280	986.472477	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1983	3.4140741	10511.3868	107.718946	18.082257	1982-1999 –> 2000-2009	6.0573039	2.6432298	22900.893	196.044130	3	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1983	3.4235045	10520.3266	499.827562	15.240924	1982-1999 –> 2000-2009	6.0692768	2.6457723	22912.809	914.077633	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1983	3.4433953	10543.3026	63.159356	15.505419	1982-1999 –> 2000-2009	6.0906855	2.6472902	22938.754	89.622343	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1983	3.4969236	10604.4806	102.869345	18.366639	1982-1999 –> 2000-2009	6.1405255	2.6436019	22992.715	187.990391	8	11
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1983	3.5062966	10613.0967	17.738398	16.697786	1982-1999 –> 2000-2009	6.1547206	2.6484241	23008.764	32.821106	9	15
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1983	3.3984529	10493.1985	109.834734	18.220311	1982-1999 –> 2000-2009	6.1665476	2.7680946	23121.617	198.125958	2	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1983	3.4451938	10545.3735	64.080415	14.770974	1982-1999 –> 2000-2009	6.2152411	2.7700473	23175.442	90.543662	6	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1983	3.4759989	10580.6779	81.695989	19.499824	1982-1999 –> 2000-2009	6.7475918	3.2715928	24072.097	150.930440	7	16
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1983	3.6400655	10761.5889	29.192328	17.385690	1982-1999 –> 2000-2009	7.0504665	3.4104010	24466.086	49.494982	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1930	3.2859787	10083.2079	128.528866	24.417268	2000-2009 –> 2010-2019	6.7000529	3.4140741	20594.595	236.247812	1	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1930	3.3243338	10128.0022	596.069247	24.074736	2000-2009 –> 2010-2019	6.7127089	3.3883751	20609.422	1138.902385	2	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1930	3.3301664	10134.7688	137.756542	24.232717	2000-2009 –> 2010-2019	6.7286193	3.3984529	20627.967	247.591276	3	5
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1930	3.3468194	10152.0231	47.055843	19.614284	2000-2009 –> 2010-2019	6.7902147	3.4433953	20695.326	110.215199	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1930	3.3301680	10132.7705	118.666665	24.236145	2000-2009 –> 2010-2019	6.8061669	3.4759989	20713.448	200.362653	4	11
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1930	3.3840573	10194.7337	594.068170	19.308699	2000-2009 –> 2010-2019	6.8075619	3.4235045	20715.060	1093.895732	6	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1930	3.4062096	10219.9192	46.930154	18.739498	2000-2009 –> 2010-2019	6.8514034	3.4451938	20765.293	111.010570	7	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1930	3.5527059	10382.4615	128.487510	27.129848	2000-2009 –> 2010-2019	7.0496295	3.4969236	20986.942	231.356855	9	17
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1930	3.4184063	10231.7161	23.985609	18.190729	2000-2009 –> 2010-2019	7.0584718	3.6400655	20993.305	53.177937	8	18
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1930	3.5967730	10428.0458	15.125226	22.816921	2000-2009 –> 2010-2019	7.1030696	3.5062966	21041.142	32.863624	10	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3406	4.2174189	19483.7985	55.287090	16.628644	1982-1999 –> 2000-2009	6.8445287	2.6271097	39725.866	137.073577	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3406	4.2441379	19524.8191	52.328408	17.815259	1982-1999 –> 2000-2009	6.8719355	2.6277975	39767.106	85.594503	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3406	4.3719361	19728.9123	50.524528	18.173210	1982-1999 –> 2000-2009	7.0237474	2.6518112	40050.359	124.820282	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3406	4.3790906	19738.0507	50.509619	18.259419	1982-1999 –> 2000-2009	7.0321518	2.6530612	40061.495	82.780227	4	8
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3406	4.4542730	19856.0099	367.257447	17.714709	1982-1999 –> 2000-2009	7.2243358	2.7700628	40547.502	845.303706	5	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3406	4.4590645	19861.3337	364.864618	17.822046	1982-1999 –> 2000-2009	7.2361719	2.7771073	40572.369	842.553617	6	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3406	4.4668973	19873.2891	47.224426	17.868714	1982-1999 –> 2000-2009	7.4069897	2.9400925	41068.063	121.313581	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	3406	4.4730491	19880.6642	8.281181	18.475585	1982-1999 –> 2000-2009	7.4180989	2.9450498	41087.727	17.972202	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3406	4.5979381	20070.2507	51.906947	18.816460	1982-1999 –> 2000-2009	7.6220806	3.0241425	41504.103	133.669116	9	20
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	3406	4.6257720	20109.3632	15.070254	19.105089	1982-1999 –> 2000-2009	7.6536691	3.0278971	41551.739	28.722455	10	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2964	4.0675035	16742.6260	43.570541	24.802453	2000-2009 –> 2010-2019	8.2849224	4.2174189	36226.425	98.857630	4	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2964	4.0884689	16771.1027	41.357157	23.748342	2000-2009 –> 2010-2019	8.3326069	4.2441379	36295.922	93.685566	8	10
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2964	4.0571886	16727.5740	41.655615	23.501017	2000-2009 –> 2010-2019	8.4291248	4.3719361	36456.486	92.180143	1	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2964	4.0810324	16760.3104	41.516921	22.308528	2000-2009 –> 2010-2019	8.4601230	4.3790906	36498.361	92.026540	5	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2964	4.0593224	16730.6909	541.682551	23.651350	2000-2009 –> 2010-2019	8.5135954	4.4542730	36586.701	908.939997	2	7
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2964	4.0599354	16729.5860	40.337899	23.873679	2000-2009 –> 2010-2019	8.5268327	4.4668973	36602.875	87.562326	3	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2964	4.0839915	16764.6071	541.418726	22.469755	2000-2009 –> 2010-2019	8.5430560	4.4590645	36625.941	906.283344	6	12
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2964	4.0847839	16763.7573	6.505354	22.718698	2000-2009 –> 2010-2019	8.5578330	4.4730491	36644.421	14.786535	7	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2964	4.3466669	17134.1261	41.551421	29.131762	2000-2009 –> 2010-2019	9.3199439	4.9732770	37738.921	90.246674	9	22
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2964	4.4159226	17225.8326	10.471899	27.602587	2000-2009 –> 2010-2019	9.3911133	4.9751908	37831.249	25.103670	10	24
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6996	2.2365399	31130.3680	30.842757	16.635840	1982-1999 –> 2000-2009	3.8013186	1.5647787	66872.680	82.094292	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6996	2.2834818	31421.0020	30.508469	14.859747	1982-1999 –> 2000-2009	3.8948373	1.6113555	67724.715	81.390366	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6996	2.2895563	31456.1735	19.335568	15.344328	1982-1999 –> 2000-2009	3.9106958	1.6211396	67873.752	35.682588	5	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6996	2.2885211	31451.8460	205.064661	14.874776	1982-1999 –> 2000-2009	3.9816798	1.6931587	68703.374	476.397210	3	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6996	2.3432888	31780.7511	18.911753	13.327455	1982-1999 –> 2000-2009	4.0124918	1.6692030	68757.542	34.285205	6	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6996	2.3525966	31836.2191	203.034576	13.351873	1982-1999 –> 2000-2009	4.1109206	1.7583240	69808.574	466.327677	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6996	2.2885758	31450.1801	29.869458	14.900208	1982-1999 –> 2000-2009	4.2363078	1.9477321	71380.644	78.747880	4	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	6996	2.3536504	31840.4851	3.539977	13.304842	1982-1999 –> 2000-2009	4.4068751	2.0532247	72778.506	9.234785	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6996	2.6073010	33274.5396	27.175542	17.290036	1982-1999 –> 2000-2009	5.4306469	2.8233459	80310.863	69.297922	9	24
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6996	3.5146477	37452.8823	29.599042	17.167096	1982-1999 –> 2000-2009	5.8674037	2.3527561	80999.310	78.121506	11	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5739	2.2759537	25740.0743	25.911486	25.938194	2000-2009 –> 2010-2019	4.5124936	2.2365399	56870.442	56.754242	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5739	2.2826054	25773.5710	247.378752	24.355947	2000-2009 –> 2010-2019	4.5711265	2.2885211	57225.417	452.443412	2	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5739	2.2876831	25799.0753	25.714383	24.050008	2000-2009 –> 2010-2019	4.5711649	2.2834818	57220.077	56.222852	3	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	5739	2.2927161	25822.2998	25.583459	24.121477	2000-2009 –> 2010-2019	4.5812918	2.2885758	57272.480	55.452917	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5739	2.5517432	27050.8999	18.534220	22.369313	2000-2009 –> 2010-2019	4.8412995	2.2895563	58507.073	37.869788	6	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	5739	2.5643789	27107.5964	17.550858	20.188440	2000-2009 –> 2010-2019	4.9076677	2.3432888	58888.347	36.462611	8	14
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5739	2.5605675	27090.5240	246.996752	20.411559	2000-2009 –> 2010-2019	4.9131641	2.3525966	58926.743	450.031327	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	5739	2.5661793	27113.6517	3.157582	20.249184	2000-2009 –> 2010-2019	4.9198297	2.3536504	58954.137	6.697559	9	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	5739	2.4760405	26705.2280	24.497300	25.646436	2000-2009 –> 2010-2019	5.0833415	2.6073010	59979.768	51.672843	5	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	5739	2.8255030	28218.6190	4.590009	21.282457	2000-2009 –> 2010-2019	5.5950553	2.7695523	62335.857	10.159864	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2607	1.1438958	8113.3147	361.829059	13.079631	1982-1999 –> 2000-2009	1.8341921	0.6902963	15383.676	812.839333	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2607	1.1635557	8202.1652	24.981820	13.064795	1982-1999 –> 2000-2009	1.8779362	0.7143805	15709.916	66.597889	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2607	1.2034933	8378.1263	24.746630	13.119743	1982-1999 –> 2000-2009	1.9534976	0.7500043	16222.723	65.302384	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2607	1.1954773	8341.2816	24.274564	12.896014	1982-1999 –> 2000-2009	2.0474227	0.8519455	17066.043	63.790537	3	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2607	1.3832398	9101.9152	361.822683	12.288736	1982-1999 –> 2000-2009	2.1959344	0.8126946	17500.186	809.125504	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2607	1.4067921	9189.9462	21.533250	12.235952	1982-1999 –> 2000-2009	2.2522599	0.8454679	17861.876	40.779823	6	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2607	1.4636133	9396.4009	24.738121	12.250934	1982-1999 –> 2000-2009	2.3575899	0.8939766	18454.506	46.438047	9	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2607	1.4254000	9256.4606	3.750376	12.108310	1982-1999 –> 2000-2009	2.4013717	0.9759717	18919.999	8.985404	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2607	1.4539077	9361.7104	22.654626	12.687633	1982-1999 –> 2000-2009	2.7382666	1.2843589	20927.901	58.239765	8	21
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2607	1.7497436	10327.4181	53.191700	14.017977	1982-1999 –> 2000-2009	2.8889582	1.1392146	21063.518	117.204419	11	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2181	1.1547922	6831.1907	399.242188	5.158570	2000-2009 –> 2010-2019	2.2986880	1.1438958	14944.505	761.071247	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2181	1.1907509	6964.9457	26.416701	5.170830	2000-2009 –> 2010-2019	2.3543066	1.1635557	15167.111	51.398521	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2181	1.2341850	7121.2219	30.774996	5.279651	2000-2009 –> 2010-2019	2.4376782	1.2034933	15499.348	55.521626	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2181	1.2850134	7295.2649	16.469299	5.642954	2000-2009 –> 2010-2019	2.4804906	1.1954773	15636.547	40.743862	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2181	1.5865789	8214.8220	15.050793	7.150940	2000-2009 –> 2010-2019	3.0404865	1.4539077	17576.532	37.705419	5	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2181	1.9595582	9135.8102	378.564297	6.896197	2000-2009 –> 2010-2019	3.3427979	1.3832398	18237.725	740.386980	8	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2181	2.0518223	9336.5028	25.882272	8.208243	2000-2009 –> 2010-2019	3.4586143	1.4067921	18526.449	47.415522	10	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2181	2.1315828	9502.8541	29.859494	8.681511	2000-2009 –> 2010-2019	3.5951960	1.4636133	18899.255	54.597615	11	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2181	1.8462331	8875.9588	76.738783	7.126304	2000-2009 –> 2010-2019	3.5959767	1.7497436	19203.377	129.930484	6	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2181	2.1771970	9593.2128	4.099315	10.626997	2000-2009 –> 2010-2019	3.6025970	1.4254000	18849.673	7.849690	13	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2606	2.0992234	11274.5573	153.935047	25.291035	1982-1999 –> 2000-2009	2.6520021	0.5527787	17172.334	471.340709	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2606	2.1156956	11315.2953	22.066931	25.330132	1982-1999 –> 2000-2009	2.6934882	0.5777925	17528.271	60.946957	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2606	2.1398027	11374.3471	26.280882	25.437371	1982-1999 –> 2000-2009	2.7564320	0.6166293	18050.631	63.654794	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2606	2.1586521	11418.0583	153.879068	25.233502	1982-1999 –> 2000-2009	2.8037950	0.6451429	18414.284	464.029837	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2606	2.1843675	11479.7805	19.211904	25.223049	1982-1999 –> 2000-2009	2.8709673	0.6865997	18919.562	33.051229	5	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2606	2.2225690	11570.1430	26.088091	25.317422	1982-1999 –> 2000-2009	2.9698952	0.7473261	19613.515	43.951903	7	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2606	2.1908975	11495.3380	20.146469	24.736003	1982-1999 –> 2000-2009	3.0236239	0.8327264	20309.335	55.232530	6	13
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	2606	2.2452775	11621.1250	5.476341	24.688108	1982-1999 –> 2000-2009	3.1571138	0.9118363	21079.482	13.876020	8	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2606	2.5514006	12289.2882	71.080564	27.263577	1982-1999 –> 2000-2009	3.6833252	1.1319245	23289.522	183.759740	11	20
Atlantic	(27.85,27.95]	3	cstar_tref ~ oxygen + aou + nitrate	2606	2.5521313	12288.7806	63.155225	27.229463	1982-1999 –> 2000-2009	3.6841232	1.1319919	23287.438	169.852561	12	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2157	1.0368767	6291.5238	193.093529	8.339822	2000-2009 –> 2010-2019	3.1361001	2.0992234	17566.081	347.028575	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2157	1.0677534	6418.1131	22.819805	8.441395	2000-2009 –> 2010-2019	3.1834491	2.1156956	17733.408	44.886736	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2157	1.1056814	6568.6930	29.539657	8.580664	2000-2009 –> 2010-2019	3.2454841	2.1398027	17943.040	55.820539	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	2157	1.3061639	7285.5466	18.073205	7.864741	2000-2009 –> 2010-2019	3.4970614	2.1908975	18780.885	38.219674	4	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2157	1.6276011	8234.6815	192.069417	8.560955	2000-2009 –> 2010-2019	3.7862533	2.1586521	19652.740	345.948485	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	2157	1.6912957	8400.2860	22.819071	8.621617	2000-2009 –> 2010-2019	3.8756633	2.1843675	19880.066	42.030975	6	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2157	1.7526387	8553.9833	29.520761	8.783078	2000-2009 –> 2010-2019	3.9752077	2.2225690	20124.126	55.608852	8	15
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	2157	1.8541080	8794.7805	7.099983	8.332352	2000-2009 –> 2010-2019	4.0993855	2.2452775	20415.905	12.576325	9	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2157	1.7264201	8488.9604	18.122259	12.587619	2000-2009 –> 2010-2019	4.1360399	2.4096198	20480.260	38.092572	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2157	1.9296355	8969.0273	95.795616	13.528059	2000-2009 –> 2010-2019	4.4810361	2.5514006	21258.316	166.876179	10	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2871	3.4132414	15210.7825	171.800940	35.514597	1982-1999 –> 2000-2009	5.6497147	2.2364734	34727.849	500.266387	1	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2871	3.4376418	15249.6846	140.871595	37.629157	1982-1999 –> 2000-2009	5.6938134	2.2561716	34841.656	466.929350	3	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2871	3.4192104	15218.8153	63.553021	39.155788	1982-1999 –> 2000-2009	5.7602359	2.3410255	35134.573	163.598919	2	9
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	2871	3.4532240	15273.6533	55.738946	44.263950	1982-1999 –> 2000-2009	5.8030301	2.3498061	35220.243	142.120745	4	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2871	3.6682068	15624.4393	30.901401	46.209998	1982-1999 –> 2000-2009	5.8997384	2.2315315	35122.105	62.141423	5	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2871	3.7296867	15717.8788	24.524711	51.359105	1982-1999 –> 2000-2009	5.9974617	2.2677750	35354.839	46.100040	7	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2871	3.7904195	15812.6262	50.858429	48.671366	1982-1999 –> 2000-2009	6.0228483	2.2324288	35313.818	84.799965	9	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	2871	3.6683262	15622.6261	24.036403	45.862221	1982-1999 –> 2000-2009	6.0382058	2.3698796	35645.816	48.744030	6	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	2871	3.7344218	15723.1640	14.540137	54.148810	1982-1999 –> 2000-2009	6.1306087	2.3961870	35841.171	30.526627	8	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2871	3.8653085	15922.9673	42.049542	54.806081	1982-1999 –> 2000-2009	6.1503446	2.2850362	35626.427	74.379225	11	17
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2499	2.4640492	11613.0813	174.628087	19.537596	2000-2009 –> 2010-2019	5.8772906	3.4132414	26823.864	346.429028	3	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2499	2.5903937	11861.0006	163.599366	20.228844	2000-2009 –> 2010-2019	6.0280355	3.4376418	27110.685	304.470961	4	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2499	2.4570608	11598.8861	28.552405	19.332794	2000-2009 –> 2010-2019	6.1252677	3.6682068	27223.325	59.453806	1	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2499	2.4584998	11601.8123	48.466899	19.203957	2000-2009 –> 2010-2019	6.2489193	3.7904195	27414.439	99.325328	2	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2499	2.9186579	12457.3320	129.185108	21.587509	2000-2009 –> 2010-2019	6.3378683	3.4192104	27676.147	192.738129	8	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2499	2.6218833	11921.3913	25.564255	20.199331	2000-2009 –> 2010-2019	6.3515700	3.7296867	27639.270	50.088966	5	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	2499	2.9450313	12500.2919	100.794216	21.796901	2000-2009 –> 2010-2019	6.3982554	3.4532240	27773.945	156.533162	11	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2499	2.6521220	11978.7044	42.362124	20.212589	2000-2009 –> 2010-2019	6.5174304	3.8653085	27901.672	84.411666	6	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	2499	2.9362733	12487.4065	28.291412	21.359050	2000-2009 –> 2010-2019	6.6045995	3.6683262	28110.033	52.327816	10	16
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	2499	2.9933469	12581.6226	25.333144	21.761273	2000-2009 –> 2010-2019	6.7277686	3.7344218	28304.787	39.873281	13	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1599	0.5299848	2521.3332	317.521591	4.238975	1982-1999 –> 2000-2009	0.8705239	0.3405391	4217.245	894.975307	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1599	0.5548423	2665.9155	298.298203	4.152253	1982-1999 –> 2000-2009	0.9127101	0.3578678	4604.125	773.858315	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1599	0.5774311	2795.5322	53.691955	4.661020	1982-1999 –> 2000-2009	0.9450746	0.3676435	4868.390	114.836056	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1599	0.5897534	2861.0587	50.993034	4.600397	1982-1999 –> 2000-2009	0.9611705	0.3714172	4982.181	110.560699	4	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1599	0.6103230	2972.6990	78.205598	4.869612	1982-1999 –> 2000-2009	1.0036994	0.3933763	5378.545	172.415048	5	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1599	0.6175306	3008.2441	70.801448	4.833670	1982-1999 –> 2000-2009	1.0110607	0.3935301	5414.014	139.840779	7	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1599	0.6111913	2975.2452	174.518139	3.602285	1982-1999 –> 2000-2009	1.0410098	0.4298185	5815.162	501.237612	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1599	0.6486481	3163.4636	133.062238	3.410233	1982-1999 –> 2000-2009	1.1041527	0.4555046	6287.067	301.122744	8	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1599	0.6699603	3268.8488	53.190309	4.058869	1982-1999 –> 2000-2009	1.1494217	0.4794613	6646.741	110.423293	9	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1599	0.6897471	3359.9313	50.737639	3.938377	1982-1999 –> 2000-2009	1.1762123	0.4864652	6807.204	105.871438	10	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1351	0.5843185	2396.1630	418.479169	2.627095	2000-2009 –> 2010-2019	1.1143034	0.5299848	4917.496	736.000760	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1351	0.5867496	2405.3812	353.849160	2.744061	2000-2009 –> 2010-2019	1.1415919	0.5548423	5071.297	652.147363	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1351	0.6281467	2591.5917	107.684653	2.874788	2000-2009 –> 2010-2019	1.2055778	0.5774311	5387.124	161.376608	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1351	0.6392030	2636.7372	100.135749	3.143582	2000-2009 –> 2010-2019	1.2289564	0.5897534	5497.796	151.128783	4	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1351	0.6576548	2715.6309	107.154847	3.010655	2000-2009 –> 2010-2019	1.2679778	0.6103230	5688.330	185.360445	5	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1351	0.6743495	2781.3657	98.075726	3.337202	2000-2009 –> 2010-2019	1.2918801	0.6175306	5789.610	168.877174	6	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1351	0.7064247	2906.9224	405.603387	2.471794	2000-2009 –> 2010-2019	1.3176160	0.6111913	5882.168	580.121526	7	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1351	0.7282044	2986.9691	272.320675	2.702202	2000-2009 –> 2010-2019	1.3768525	0.6486481	6150.433	405.382913	8	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1351	0.7676571	3131.5303	93.493523	2.762597	2000-2009 –> 2010-2019	1.4376174	0.6699603	6400.379	146.683832	9	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1351	0.7758475	3158.2063	92.426080	2.490511	2000-2009 –> 2010-2019	1.4655946	0.6897471	6518.138	143.163719	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2609	0.5122209	3927.1827	430.129847	3.251890	1982-1999 –> 2000-2009	0.9082329	0.3960120	7144.249	953.322314	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2609	0.5308496	4111.5841	283.851917	3.438780	1982-1999 –> 2000-2009	0.9376932	0.4068436	7502.102	603.000598	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2609	0.5389536	4192.6406	108.439018	3.592768	1982-1999 –> 2000-2009	0.9594616	0.4205081	7799.951	189.164630	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2609	0.5571975	4366.3495	107.626636	3.759685	1982-1999 –> 2000-2009	0.9979572	0.4407597	8279.489	187.216965	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	2609	0.5688847	4472.6651	93.333944	3.662962	1982-1999 –> 2000-2009	1.0106721	0.4417874	8398.948	170.507880	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2609	0.5923883	4683.9136	91.628608	3.788831	1982-1999 –> 2000-2009	1.0609913	0.4686029	8993.339	167.072673	8	14
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2609	0.5890570	4654.4872	324.319564	4.908898	1982-1999 –> 2000-2009	1.1096495	0.5205925	9648.000	676.288568	6	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	2609	0.5921318	4679.6535	232.242471	4.556310	1982-1999 –> 2000-2009	1.1139236	0.5217918	9686.128	435.232410	7	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2609	0.6017196	4765.4669	99.626730	5.212865	1982-1999 –> 2000-2009	1.1210852	0.5193655	9743.637	180.325380	9	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2609	0.6121142	4854.8372	99.317798	5.349918	1982-1999 –> 2000-2009	1.1360884	0.5239741	9890.449	178.845494	11	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2047	0.5885066	3652.6298	586.253794	3.497124	2000-2009 –> 2010-2019	1.1007274	0.5122209	7579.813	1016.383641	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2047	0.6200861	3866.6243	149.567335	3.635449	2000-2009 –> 2010-2019	1.1590397	0.5389536	8059.265	258.006352	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2047	0.6536430	4080.3901	532.718472	4.070992	2000-2009 –> 2010-2019	1.1844925	0.5308496	8191.974	816.570389	7	9
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2047	0.6406692	4000.3135	151.019084	3.707769	2000-2009 –> 2010-2019	1.1978667	0.5571975	8366.663	258.645721	5	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2047	0.6169279	3843.7194	417.758276	3.845418	2000-2009 –> 2010-2019	1.2059849	0.5890570	8498.207	742.077839	2	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	2047	0.6354081	3964.5553	145.252808	3.911188	2000-2009 –> 2010-2019	1.2371277	0.6017196	8730.022	244.879538	4	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2047	0.6506742	4061.7535	145.176899	3.943641	2000-2009 –> 2010-2019	1.2627885	0.6121142	8916.591	244.494697	6	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	2047	0.7075695	4404.9404	126.689039	4.115900	2000-2009 –> 2010-2019	1.2764542	0.5688847	8877.605	220.022983	9	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	2047	0.6849751	4270.0763	350.299945	4.124822	2000-2009 –> 2010-2019	1.2771069	0.5921318	8949.730	582.542416	8	15
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2047	0.7357027	4564.5666	125.513639	4.064761	2000-2009 –> 2010-2019	1.3280911	0.5923883	9248.480	217.142247	11	19
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4360	0.8657530	11130.1066	423.143751	9.813977	1982-1999 –> 2000-2009	1.6631696	0.7974166	25545.468	857.786869	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4360	0.8942279	11412.2954	203.916953	9.589920	1982-1999 –> 2000-2009	1.7280545	0.8338266	26366.828	403.877212	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4360	0.9074061	11539.8631	202.248760	9.470803	1982-1999 –> 2000-2009	1.7585151	0.8511091	26742.132	399.547982	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4360	0.9632304	12058.4693	334.586441	7.213850	1982-1999 –> 2000-2009	1.9094677	0.9462374	28538.229	649.187831	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	4360	0.9789944	12200.0245	125.152430	7.153201	1982-1999 –> 2000-2009	1.9422247	0.9632302	28894.725	232.567829	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4360	0.9897831	12295.5940	122.733243	7.070861	1982-1999 –> 2000-2009	1.9660595	0.9762764	29152.757	226.835695	6	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4360	1.0264943	12613.1664	381.208965	11.373235	1982-1999 –> 2000-2009	1.9687477	0.9422535	29041.976	725.342204	7	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	4360	1.0433708	12755.3657	137.845868	11.192406	1982-1999 –> 2000-2009	2.0080191	0.9646483	29467.832	271.991653	8	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4360	1.0511020	12819.7411	137.869858	11.091296	1982-1999 –> 2000-2009	2.0261057	0.9750037	29661.151	271.016765	9	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	4360	1.2086978	14037.9637	100.771998	21.815776	1982-1999 –> 2000-2009	2.4962308	1.2875331	34237.009	201.618969	10	20
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3862	0.8735984	9930.1025	557.845088	3.983897	2000-2009 –> 2010-2019	1.7393514	0.8657530	21060.209	980.988839	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3862	0.9112359	10255.9088	245.931323	4.086205	2000-2009 –> 2010-2019	1.8054639	0.8942279	21668.204	449.848276	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3862	0.9283385	10399.5334	247.775443	4.069213	2000-2009 –> 2010-2019	1.8357445	0.9074061	21939.396	450.024203	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3862	0.9608856	10663.6944	482.904711	4.430305	2000-2009 –> 2010-2019	1.9241160	0.9632304	22722.164	817.491151	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3862	0.9810540	10824.1385	161.139605	4.757349	2000-2009 –> 2010-2019	1.9600485	0.9789944	23024.163	286.292035	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3862	0.9941372	10926.4640	159.708137	4.883332	2000-2009 –> 2010-2019	1.9839203	0.9897831	23222.058	282.441379	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3862	1.0512577	11357.9831	486.042768	4.106941	2000-2009 –> 2010-2019	2.0777520	1.0264943	23971.150	867.251733	7	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	3862	1.0758461	11536.5628	200.418812	4.245280	2000-2009 –> 2010-2019	2.1192169	1.0433708	24291.929	338.264680	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3862	1.0865503	11613.0339	204.930410	4.256303	2000-2009 –> 2010-2019	2.1376523	1.0511020	24432.775	342.800269	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	3862	1.1520032	12064.8455	82.883463	3.617545	2000-2009 –> 2010-2019	2.3607010	1.2086978	26102.809	183.655462	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7165	1.0530221	21087.7376	47.944430	4.878546	1982-1999 –> 2000-2009	2.0760441	1.0230220	49099.543	145.996390	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7165	1.0536365	21096.0964	43.521319	4.832391	1982-1999 –> 2000-2009	2.0767896	1.0231531	49110.389	93.554447	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	7165	1.0542456	21102.3773	35.481393	4.782768	1982-1999 –> 2000-2009	2.0774000	1.0231544	49114.696	84.868667	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7165	1.0592397	21172.1010	43.226077	4.932338	1982-1999 –> 2000-2009	2.0915585	1.0323188	49359.589	93.329017	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	7165	1.1258024	22043.4369	42.130158	6.428668	1982-1999 –> 2000-2009	2.2397695	1.1139671	51707.178	91.710371	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7165	1.1419073	22246.9789	26.434512	7.038010	1982-1999 –> 2000-2009	2.2707768	1.1288695	52168.793	84.219297	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	7165	1.1498427	22346.2171	14.421907	7.155249	1982-1999 –> 2000-2009	2.2898916	1.1400489	52459.405	40.675718	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7165	1.1568100	22432.7867	13.980075	7.283239	1982-1999 –> 2000-2009	2.3122119	1.1554019	52805.758	39.789407	8	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	7165	1.3535197	24681.2004	7.006889	12.012267	1982-1999 –> 2000-2009	2.6323941	1.2788744	57023.925	13.769669	15	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7165	1.2492613	23534.5658	35.445152	9.298017	1982-1999 –> 2000-2009	2.7799788	1.5307175	59370.156	109.623708	9	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6247	1.1681997	19684.5832	203.931545	7.651947	2000-2009 –> 2010-2019	2.2212218	1.0530221	40772.321	251.875974	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6247	1.1730580	19736.4350	140.325371	7.678309	2000-2009 –> 2010-2019	2.2266945	1.0536365	40832.531	183.846690	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6247	1.1820063	19831.3807	142.840686	7.750846	2000-2009 –> 2010-2019	2.2412461	1.0592397	41003.482	186.066763	3	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	6247	1.2037615	20057.2462	120.817219	7.320655	2000-2009 –> 2010-2019	2.2580071	1.0542456	41159.623	156.298611	4	7
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6247	1.2136052	20158.9997	178.333683	9.202789	2000-2009 –> 2010-2019	2.3555125	1.1419073	42405.979	204.768195	5	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6247	1.2253116	20278.9383	89.749266	9.392473	2000-2009 –> 2010-2019	2.3751542	1.1498427	42625.155	104.171172	6	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6247	1.2389346	20417.0799	89.905250	9.531207	2000-2009 –> 2010-2019	2.3957446	1.1568100	42849.867	103.885324	7	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6247	1.3024057	21041.2963	99.704521	6.763363	2000-2009 –> 2010-2019	2.4282081	1.1258024	43084.733	141.834679	8	13
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	6247	1.3218503	21224.4499	12.025599	9.874640	2000-2009 –> 2010-2019	2.6753700	1.3535197	45905.650	19.032488	9	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6247	1.4556140	22430.8130	197.407987	10.444046	2000-2009 –> 2010-2019	2.7048753	1.2492613	45965.379	232.853139	11	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3097	5.7758886	19665.2742	57.540570	21.289559	1982-1999 –> 2000-2009	11.8456149	6.0697263	33406.068	110.008945	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3097	5.8845001	19778.6664	52.321784	19.891902	1982-1999 –> 2000-2009	12.0181339	6.1336338	33562.079	104.480431	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3097	6.3916094	20292.6892	13.087711	26.769910	1982-1999 –> 2000-2009	12.7880979	6.3964885	34256.859	24.362120	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3097	6.4809205	20376.6399	12.402851	25.504813	1982-1999 –> 2000-2009	12.9605434	6.4796229	34393.820	23.148387	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3097	6.8134891	20688.5988	13.101398	28.736032	1982-1999 –> 2000-2009	13.5780262	6.7645371	34891.093	24.381156	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3097	6.8792530	20746.0966	12.404091	27.416662	1982-1999 –> 2000-2009	13.7201370	6.8408840	34994.401	23.175991	6	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	3097	8.1648246	21809.2848	680.026931	32.617101	1982-1999 –> 2000-2009	16.2936950	8.1288704	36794.461	1433.171595	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3097	8.1840095	21821.8217	13.090313	32.153342	1982-1999 –> 2000-2009	16.3816048	8.1975954	36840.862	24.369215	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	3097	8.1890860	21825.6626	13.079537	33.334654	1982-1999 –> 2000-2009	16.7363830	8.5472971	37022.661	24.290519	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + aou + nitrate	3097	8.6896728	22193.1712	633.905320	30.364299	1982-1999 –> 2000-2009	17.8449090	9.1552362	37682.878	1202.822349	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4002	5.5389302	25072.4423	75.434603	42.118607	2000-2009 –> 2010-2019	11.3148188	5.7758886	44737.716	132.975173	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + nitrate	4002	5.5428190	25078.0598	876.195626	55.315091	2000-2009 –> 2010-2019	11.3818186	5.8389995	44810.646	1853.904136	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4002	5.5847960	25136.4475	66.837879	41.180671	2000-2009 –> 2010-2019	11.4692961	5.8845001	44915.114	119.159663	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4002	6.1257997	25878.5085	15.526922	33.270015	2000-2009 –> 2010-2019	12.5174091	6.3916094	46171.198	28.614634	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4002	6.1408219	25896.1126	13.912245	32.671289	2000-2009 –> 2010-2019	12.6217424	6.4809205	46272.753	26.315097	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4002	6.5944205	26468.5202	15.941361	36.126244	2000-2009 –> 2010-2019	13.4079096	6.8134891	47157.119	29.042759	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4002	6.5963781	26468.8959	14.253959	35.880685	2000-2009 –> 2010-2019	13.4756311	6.8792530	47214.993	26.658049	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	4002	7.1816665	27151.3218	715.606067	39.439780	2000-2009 –> 2010-2019	15.3464911	8.1648246	48960.607	1395.632999	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	4002	7.2073999	27177.9505	14.432693	38.260202	2000-2009 –> 2010-2019	15.3964858	8.1890860	49003.613	27.512230	9	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4002	7.3900950	27378.3093	15.208778	40.102176	2000-2009 –> 2010-2019	15.5741044	8.1840095	49200.131	28.299090	11	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3001	3.7780460	16508.3691	13.905005	20.342682	1982-1999 –> 2000-2009	7.5673259	3.7892799	34030.462	27.161188	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3001	3.8666278	16647.4703	15.730886	20.594966	1982-1999 –> 2000-2009	7.8190942	3.9524664	34437.894	29.720980	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3001	4.1010499	17000.7497	165.407195	19.437267	1982-1999 –> 2000-2009	8.0568169	3.9557670	34796.485	466.900756	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3001	4.3422411	17341.7494	13.758056	18.451716	1982-1999 –> 2000-2009	8.3873226	4.0450816	35277.575	26.839916	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3001	4.4595533	17501.7508	163.912343	18.808403	1982-1999 –> 2000-2009	8.6010559	4.1415026	35587.493	458.511913	7	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3001	4.3958511	17415.3974	12.166436	17.675011	1982-1999 –> 2000-2009	8.7123339	4.3164828	35764.496	17.999877	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3001	4.4995238	17555.3064	15.359912	18.567009	1982-1999 –> 2000-2009	8.7157555	4.2162318	35754.857	28.900304	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3001	4.3673156	17376.3086	12.434576	18.181402	1982-1999 –> 2000-2009	8.7674603	4.4001447	35847.574	18.425376	5	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3001	4.6824391	17794.4716	53.793431	17.191022	1982-1999 –> 2000-2009	9.1295586	4.4471195	36333.317	142.607334	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	3001	4.9891825	18173.3160	9.948487	16.266443	1982-1999 –> 2000-2009	9.6701750	4.6809925	37036.339	15.308332	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3089	3.3640495	16275.0150	13.304054	18.476206	2000-2009 –> 2010-2019	7.1420955	3.7780460	32783.384	27.209060	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3089	3.4606972	16450.0043	13.470077	19.413499	2000-2009 –> 2010-2019	7.3273249	3.8666278	33097.475	29.200963	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3089	3.7253376	16905.2452	165.826753	41.323617	2000-2009 –> 2010-2019	7.8263875	4.1010499	33905.995	331.233948	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3089	4.0589676	17433.1394	10.403543	15.960563	2000-2009 –> 2010-2019	8.4012086	4.3422411	34774.889	24.161599	6	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3089	4.0056030	17351.3765	13.289433	17.764512	2000-2009 –> 2010-2019	8.4014541	4.3958511	34766.774	25.455869	4	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3089	4.0521853	17422.8077	13.450439	19.157718	2000-2009 –> 2010-2019	8.4195009	4.3673156	34799.116	25.885014	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3089	4.2068651	17654.2445	165.391524	39.714939	2000-2009 –> 2010-2019	8.6664184	4.4595533	35155.995	329.303867	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3089	4.2148905	17666.0189	10.692712	17.063732	2000-2009 –> 2010-2019	8.7144142	4.4995238	35221.325	26.052624	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3089	4.2381585	17700.0303	78.728202	32.264658	2000-2009 –> 2010-2019	8.9205976	4.6824391	35494.502	132.521633	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	3089	5.0056037	18726.2297	10.014390	17.069638	2000-2009 –> 2010-2019	9.9947862	4.9891825	36899.546	19.962876	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2685	4.0485316	15142.8623	37.395685	20.382798	1982-1999 –> 2000-2009	7.5895320	3.5410003	30575.379	73.762160	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2685	4.0600721	15158.1479	616.281728	38.768512	1982-1999 –> 2000-2009	7.6896641	3.6295920	30732.654	1447.975599	2	5
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2685	4.1458027	15270.3577	37.722055	20.642695	1982-1999 –> 2000-2009	7.7583316	3.6125289	30817.787	75.676717	3	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2685	4.3590206	15537.6684	611.876026	35.603466	1982-1999 –> 2000-2009	8.0869028	3.7278822	31263.708	1405.978056	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2685	4.4362831	15632.0166	36.963096	20.093924	1982-1999 –> 2000-2009	8.0968460	3.6605630	31253.344	71.971431	7	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2685	4.3556975	15533.5730	109.753393	24.192900	1982-1999 –> 2000-2009	8.1870939	3.8313965	31416.990	238.047989	4	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2685	4.4185681	15610.5302	10.676078	24.852306	1982-1999 –> 2000-2009	8.2417784	3.8232103	31481.657	17.347932	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2685	4.5600105	15779.7348	37.023755	20.324040	1982-1999 –> 2000-2009	8.2914988	3.7314883	31511.330	72.881327	9	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2685	4.5346216	15749.7525	10.718000	25.282078	1982-1999 –> 2000-2009	8.4343688	3.8997472	31734.772	17.579478	8	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2685	4.7449003	15991.1681	73.601049	24.593570	1982-1999 –> 2000-2009	8.6855856	3.9406853	32034.193	140.147892	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2837	3.0032003	14304.6329	25.683484	16.317809	2000-2009 –> 2010-2019	7.0517319	4.0485316	29447.495	63.079169	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2837	3.1185121	14518.4152	349.923901	19.987917	2000-2009 –> 2010-2019	7.1785842	4.0600721	29676.563	966.205629	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2837	3.1482212	14572.2137	25.602635	16.456482	2000-2009 –> 2010-2019	7.2940238	4.1458027	29842.571	63.324690	3	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2837	3.2953748	14829.4151	74.653302	17.282198	2000-2009 –> 2010-2019	7.6510722	4.3556975	30362.988	184.406694	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2837	3.3495015	14921.8539	11.169099	17.879147	2000-2009 –> 2010-2019	7.7680697	4.4185681	30532.384	21.845178	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2837	3.5483741	15249.1186	11.177174	18.168156	2000-2009 –> 2010-2019	8.0829957	4.5346216	30998.871	21.895174	6	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2837	3.7768369	15603.1614	337.607487	21.193972	2000-2009 –> 2010-2019	8.1358575	4.3590206	31140.830	949.483513	7	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2837	3.9204461	15814.9070	23.153632	15.565181	2000-2009 –> 2010-2019	8.3567292	4.4362831	31446.924	60.116728	8	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2837	4.1521199	16140.6715	23.421493	15.767517	2000-2009 –> 2010-2019	8.7121304	4.5600105	31920.406	60.445248	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2837	4.3123798	16353.5510	63.437559	17.735709	2000-2009 –> 2010-2019	9.0572802	4.7449003	32344.719	137.038609	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3955	3.6061820	21383.5621	36.467286	15.980762	1982-1999 –> 2000-2009	6.6971615	3.0909795	40243.424	65.864803	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3955	3.6220218	21416.2300	35.991093	15.878370	1982-1999 –> 2000-2009	6.7697640	3.1477422	40408.716	64.684490	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3955	3.6481963	21475.1859	36.476902	16.615654	1982-1999 –> 2000-2009	6.7945221	3.1463258	40466.342	68.064629	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3955	3.6776922	21536.8816	36.024420	16.464447	1982-1999 –> 2000-2009	6.8976903	3.2199981	40697.268	65.868201	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3955	3.8600029	21921.5871	517.096142	18.078962	1982-1999 –> 2000-2009	7.2954433	3.4354404	41563.100	1009.642913	5	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3955	3.8603143	21920.2252	513.757768	18.044633	1982-1999 –> 2000-2009	7.3122857	3.4519714	41595.251	988.721884	6	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3955	3.8853418	21971.3425	12.693241	19.538661	1982-1999 –> 2000-2009	7.3230244	3.4376825	41615.682	22.662718	7	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3955	3.9182742	22036.1055	10.604212	19.261154	1982-1999 –> 2000-2009	7.4287907	3.5105166	41833.549	18.098159	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3955	3.9509690	22103.8343	12.805222	20.716842	1982-1999 –> 2000-2009	7.4971512	3.5461821	41978.059	22.838268	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3955	3.9925765	22186.6986	101.479134	17.623199	1982-1999 –> 2000-2009	7.5548348	3.5622583	42094.386	215.676067	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3551	2.9278972	17720.8700	24.875248	16.344432	2000-2009 –> 2010-2019	6.5340793	3.6061820	39104.432	61.342534	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3551	3.0267218	17956.6254	24.864415	16.555807	2000-2009 –> 2010-2019	6.6749181	3.6481963	39431.811	61.341317	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3551	3.0698369	18057.0782	402.870946	16.626377	2000-2009 –> 2010-2019	6.9298398	3.8600029	39978.665	919.967088	3	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3551	3.1385820	18212.3639	8.038975	18.997698	2000-2009 –> 2010-2019	7.0239238	3.8853418	40183.706	20.732216	4	11
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3551	3.4202162	18822.6577	23.635609	16.272275	2000-2009 –> 2010-2019	7.0422381	3.6220218	40238.888	59.626702	8	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3551	3.1771686	18299.1455	75.794620	18.252185	2000-2009 –> 2010-2019	7.1697451	3.9925765	40485.844	177.273754	5	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3551	3.2556151	18472.3689	8.101409	19.370142	2000-2009 –> 2010-2019	7.2065841	3.9509690	40576.203	20.906631	6	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3551	3.3947260	18769.5296	401.381550	16.043071	2000-2009 –> 2010-2019	7.2550403	3.8603143	40689.755	915.139318	7	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3551	3.5801327	19147.1914	24.261371	16.463583	2000-2009 –> 2010-2019	7.2578249	3.6776922	40684.073	60.285790	9	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3551	3.6376783	19258.4382	57.005494	19.321310	2000-2009 –> 2010-2019	7.6375126	3.9998343	41457.503	126.284863	10	21
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5025	3.0137174	25361.2344	33.740670	10.494435	1982-1999 –> 2000-2009	5.5242686	2.5105512	45489.747	66.768059	2	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	5025	3.1306083	25741.6670	31.069989	10.199669	1982-1999 –> 2000-2009	5.6573298	2.5267215	45923.381	60.730389	5	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	5025	3.0519573	25485.9528	20.721567	10.779165	1982-1999 –> 2000-2009	5.6962844	2.6443271	46058.824	42.540371	3	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5025	3.2002868	25964.8985	37.599610	11.742126	1982-1999 –> 2000-2009	5.7386464	2.5383596	46188.124	74.502353	8	11
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5025	3.2925540	26248.5509	32.472708	11.515302	1982-1999 –> 2000-2009	5.8388465	2.5462925	46496.605	63.814038	10	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	5025	3.1860839	25916.1974	15.573780	10.526506	1982-1999 –> 2000-2009	5.8516768	2.6655929	46555.938	31.863442	7	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5025	2.9599501	25178.3150	195.940971	8.873065	1982-1999 –> 2000-2009	5.8855725	2.9256224	46620.364	394.758768	1	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5025	3.2178975	26018.0506	20.933755	11.934070	1982-1999 –> 2000-2009	5.8893272	2.6714297	46678.598	42.896297	9	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	5025	3.3207373	26332.2100	15.754346	11.748343	1982-1999 –> 2000-2009	6.0039920	2.6832546	47028.732	32.616177	11	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5025	3.0716040	25550.4413	982.291517	10.886626	1982-1999 –> 2000-2009	6.0290374	2.9574334	47085.474	1679.939466	4	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4714	2.6068653	22423.1761	161.988570	9.260875	2000-2009 –> 2010-2019	5.5668154	2.9599501	47601.491	357.929541	2	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4714	2.5069123	22054.5733	669.290648	9.323242	2000-2009 –> 2010-2019	5.5785164	3.0716040	47605.015	1651.582165	1	5
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4714	2.7628126	22972.9502	19.786262	9.977188	2000-2009 –> 2010-2019	5.7765300	3.0137174	48334.185	53.526933	4	6
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	4714	2.6288607	22500.3912	99.883572	9.711597	2000-2009 –> 2010-2019	5.7985007	3.1696400	48364.585	230.502753	3	9
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	4714	2.8168887	23153.7002	15.024581	9.514639	2000-2009 –> 2010-2019	5.8688460	3.0519573	48639.653	35.746148	6	9
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4714	2.7650708	22978.6531	18.659252	10.208821	2000-2009 –> 2010-2019	5.8956792	3.1306083	48720.320	49.729241	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4714	2.8188653	23158.3136	8.608705	9.721680	2000-2009 –> 2010-2019	6.0049493	3.1860839	49074.511	24.182485	7	14
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4714	2.9836291	23697.8800	21.572890	10.929229	2000-2009 –> 2010-2019	6.1839159	3.2002868	49662.779	59.172500	8	16
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4714	3.0166357	23799.6052	15.191981	10.496810	2000-2009 –> 2010-2019	6.2345332	3.2178975	49817.656	36.125736	10	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4714	2.9836303	23695.8837	19.585246	10.934845	2000-2009 –> 2010-2019	6.2761842	3.2925540	49944.435	52.057954	9	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6501	2.8557047	32104.2796	968.321809	9.596803	1982-1999 –> 2000-2009	5.3086730	2.4529683	60328.051	1746.563882	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6501	2.8939273	32279.1526	50.164881	8.897921	1982-1999 –> 2000-2009	5.3576233	2.4636960	60558.075	88.142202	2	5
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	6501	2.9358875	32462.3203	331.947586	11.497261	1982-1999 –> 2000-2009	5.3903430	2.4544554	60691.474	552.344546	3	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	6501	2.9617501	32578.3550	49.065583	9.922098	1982-1999 –> 2000-2009	5.4306005	2.4688504	60880.733	87.010796	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6501	2.9411722	32489.7031	49.602973	8.842335	1982-1999 –> 2000-2009	5.4613902	2.5202180	61044.901	87.154655	4	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	6501	3.0291467	32870.9080	20.937899	11.102656	1982-1999 –> 2000-2009	5.4930531	2.4639063	61148.870	33.981264	6	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	6501	3.0706681	33045.9196	20.882528	11.744075	1982-1999 –> 2000-2009	5.5397934	2.4691254	61347.654	33.709070	8	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6501	3.0434793	32932.2825	48.690922	10.091951	1982-1999 –> 2000-2009	5.5637020	2.5202227	61485.504	86.230832	7	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6501	3.0999158	33171.1757	20.950645	11.251775	1982-1999 –> 2000-2009	5.6233398	2.5234240	61739.859	33.962279	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	6501	3.1685139	33453.7602	20.912074	12.087946	1982-1999 –> 2000-2009	5.6919393	2.5234254	62020.450	33.731237	10	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6119	2.8831294	30335.4981	827.318220	13.356318	2000-2009 –> 2010-2019	5.7388341	2.8557047	62439.778	1795.640029	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6119	2.9838094	30757.5611	41.293341	13.337815	2000-2009 –> 2010-2019	5.8777367	2.8939273	63036.714	91.458222	3	5
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	6119	2.9595495	30653.6533	230.013275	15.450802	2000-2009 –> 2010-2019	5.8954370	2.9358875	63115.974	561.960860	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	6119	2.9927488	30792.1711	41.227804	13.602462	2000-2009 –> 2010-2019	5.9544989	2.9617501	63370.526	90.293387	4	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6119	3.0517539	31033.1078	40.997749	13.405800	2000-2009 –> 2010-2019	5.9929260	2.9411722	63522.811	90.600723	5	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6119	3.0701531	31104.6701	40.958049	13.780588	2000-2009 –> 2010-2019	6.1136324	3.0434793	64036.953	89.648971	6	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	6119	3.0923000	31192.6334	11.274066	16.004824	2000-2009 –> 2010-2019	6.1214467	3.0291467	64063.541	32.211965	7	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	6119	3.0986937	31215.9108	11.267050	16.206742	2000-2009 –> 2010-2019	6.1693618	3.0706681	64261.830	32.149579	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6119	3.1748004	31514.8553	11.265647	16.289386	2000-2009 –> 2010-2019	6.2747162	3.0999158	64686.031	32.216292	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	6119	3.1897566	31570.3720	11.261300	16.602446	2000-2009 –> 2010-2019	6.3582705	3.1685139	65024.132	32.173374	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7488	3.4036359	39607.2906	74.134469	10.156769	1982-1999 –> 2000-2009	6.0235106	2.6198747	71922.092	141.478803	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7488	3.4280600	39714.3732	73.944701	10.623404	1982-1999 –> 2000-2009	6.0893786	2.6613186	72242.002	144.122000	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7488	3.5071043	40053.7693	37.160368	11.320001	1982-1999 –> 2000-2009	6.1307482	2.6236439	72386.066	80.030883	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7488	3.5312107	40156.3559	37.193973	11.260540	1982-1999 –> 2000-2009	6.1967148	2.6655041	72703.294	81.767691	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	7488	3.8869670	41591.8778	569.550562	14.198006	1982-1999 –> 2000-2009	6.6215531	2.7345861	74483.774	1089.299146	6	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	7488	3.8844425	41584.1481	73.735545	12.359010	1982-1999 –> 2000-2009	6.7021363	2.8176937	74884.013	141.061081	5	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	7488	3.9895744	41982.0836	36.556396	14.333982	1982-1999 –> 2000-2009	6.8073637	2.8177893	75280.408	79.003218	8	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7488	3.9481347	41827.7141	73.654318	12.396477	1982-1999 –> 2000-2009	6.8375409	2.8894063	75468.373	143.781377	7	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	7488	4.0561325	42229.8671	36.656034	14.421914	1982-1999 –> 2000-2009	6.9457528	2.8896203	75869.530	80.855717	10	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	7488	4.0150453	42079.3918	39.892616	13.863342	1982-1999 –> 2000-2009	7.9260751	3.9110298	79825.336	78.461881	9	19
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6787	3.4637083	36138.1916	58.966086	16.831297	2000-2009 –> 2010-2019	6.8673441	3.4036359	75745.482	133.100555	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6787	3.5033600	36292.7010	58.980267	16.750365	2000-2009 –> 2010-2019	6.9314200	3.4280600	76007.074	132.924968	4	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6787	3.4744513	36178.2276	15.417278	17.685462	2000-2009 –> 2010-2019	6.9815556	3.5071043	76231.997	52.577646	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6787	3.5150693	36335.9937	15.417966	17.646335	2000-2009 –> 2010-2019	7.0462800	3.5312107	76492.350	52.611940	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	6787	3.4964440	36261.8778	331.830269	18.837627	2000-2009 –> 2010-2019	7.3834110	3.8869670	77853.756	901.380831	3	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6787	3.5834670	36597.5857	58.876039	18.233778	2000-2009 –> 2010-2019	7.4679096	3.8844425	78181.734	132.611584	6	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6787	3.5913152	36625.2818	15.254819	18.972902	2000-2009 –> 2010-2019	7.5808897	3.9895744	78607.365	51.811214	7	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6787	3.6431968	36821.9743	58.924615	18.248933	2000-2009 –> 2010-2019	7.5913315	3.9481347	78649.688	132.578933	8	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	6787	3.6521860	36853.4254	15.270478	19.084252	2000-2009 –> 2010-2019	7.7083186	4.0561325	79083.292	51.926512	9	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6787	4.2554483	38930.5399	24.793454	16.069175	2000-2009 –> 2010-2019	8.2704936	4.0150453	81009.932	64.686070	10	19
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2872	2.8916862	14263.5907	170.316477	15.230226	1982-1999 –> 2000-2009	5.2394275	2.3477413	26366.717	348.650760	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2872	2.8986851	14275.4765	137.478678	14.870083	1982-1999 –> 2000-2009	5.2661580	2.3674728	26421.128	284.629300	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2872	2.9235847	14326.6065	179.759467	15.257569	1982-1999 –> 2000-2009	5.3003226	2.3767379	26495.037	379.887120	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2872	2.9316586	14340.4474	144.530032	14.866542	1982-1999 –> 2000-2009	5.3366430	2.4049844	26569.731	307.840790	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2872	3.0669028	14599.5011	170.316472	16.924789	1982-1999 –> 2000-2009	5.5668755	2.4999726	27034.863	340.141132	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2872	3.0743087	14611.3549	137.473890	16.547372	1982-1999 –> 2000-2009	5.5888602	2.5145515	27075.650	277.373802	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2872	3.1094990	14678.7305	179.750397	17.000459	1982-1999 –> 2000-2009	5.6303367	2.5208377	27158.309	370.588807	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	2872	3.1177397	14691.9330	144.508649	16.596244	1982-1999 –> 2000-2009	5.6604262	2.5426865	27215.423	300.001304	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2872	3.3641301	15130.8280	133.736268	13.078867	1982-1999 –> 2000-2009	6.2970877	2.9329576	28415.961	284.979766	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2872	3.4000642	15189.8574	119.913935	13.568981	1982-1999 –> 2000-2009	6.3516785	2.9516144	28506.724	255.026703	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2622	2.5049418	12270.2980	147.129148	17.626748	2000-2009 –> 2010-2019	5.3966280	2.8916862	26533.889	317.445625	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2622	2.5436091	12350.6280	155.347114	17.649902	2000-2009 –> 2010-2019	5.4671938	2.9235847	26677.235	335.106581	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2622	2.6560246	12575.4127	110.548842	16.267047	2000-2009 –> 2010-2019	5.5547097	2.8986851	26850.889	248.027520	5	7
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2622	2.7004706	12662.4399	116.006061	16.249561	2000-2009 –> 2010-2019	5.6321292	2.9316586	27002.887	260.536092	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2622	2.5928964	12449.2687	147.126463	18.857513	2000-2009 –> 2010-2019	5.6597992	3.0669028	27048.770	317.442935	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2622	2.6430433	12549.7200	155.344369	18.964393	2000-2009 –> 2010-2019	5.7525423	3.1094990	27228.450	335.094766	4	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2622	2.7557805	12766.7601	110.402607	17.539769	2000-2009 –> 2010-2019	5.8300892	3.0743087	27378.115	247.876497	7	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	2622	2.8110923	12870.9711	115.780636	17.600865	2000-2009 –> 2010-2019	5.9288320	3.1177397	27562.904	260.289285	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2622	3.4680773	13974.3538	106.122640	16.079883	2000-2009 –> 2010-2019	6.8322073	3.3641301	29105.182	239.858909	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2622	3.4932447	14010.2715	93.399495	16.331594	2000-2009 –> 2010-2019	6.8933089	3.4000642	29200.129	213.313430	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3417	2.4263019	15768.4664	284.594846	14.990084	1982-1999 –> 2000-2009	4.3965787	1.9702769	28319.006	600.467987	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3417	2.4299206	15776.6516	264.104432	15.231005	1982-1999 –> 2000-2009	4.4029684	1.9730478	28333.592	558.814920	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3417	2.4288066	15775.5177	317.880645	15.086094	1982-1999 –> 2000-2009	4.4201895	1.9913829	28389.754	685.750307	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3417	2.4300109	15776.9054	292.327188	15.228090	1982-1999 –> 2000-2009	4.4292091	1.9991983	28412.557	631.426668	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3417	2.6256899	16306.1846	283.062767	16.785734	1982-1999 –> 2000-2009	4.7016909	2.0760010	29167.190	548.392194	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3417	2.6274241	16308.6968	262.126343	16.952985	1982-1999 –> 2000-2009	4.7065060	2.0790819	29176.567	505.420226	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3417	2.6314593	16321.1844	316.039765	16.888663	1982-1999 –> 2000-2009	4.7252011	2.0937419	29233.059	625.241913	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	3417	2.6317816	16320.0213	289.973713	16.962603	1982-1999 –> 2000-2009	4.7331963	2.1014147	29251.763	570.046940	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3417	3.0072481	17233.4335	223.010994	11.470673	1982-1999 –> 2000-2009	5.6802776	2.6730295	31605.492	496.605038	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3417	3.0971588	17432.7616	207.513349	12.157747	1982-1999 –> 2000-2009	5.8256004	2.7284416	31925.478	474.724019	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3246	2.1349644	14149.6062	264.484640	17.823176	2000-2009 –> 2010-2019	4.5612663	2.4263019	29918.073	549.079486	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3246	2.1354069	14150.9517	303.077830	17.920507	2000-2009 –> 2010-2019	4.5642135	2.4288066	29926.469	620.958474	2	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3246	2.1499441	14192.9975	257.041395	17.373323	2000-2009 –> 2010-2019	4.5798648	2.4299206	29969.649	521.145827	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3246	2.1613405	14227.3193	292.226769	17.316065	2000-2009 –> 2010-2019	4.5913514	2.4300109	30004.225	584.553957	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3246	2.2349039	14444.6040	259.804666	19.284997	2000-2009 –> 2010-2019	4.8605938	2.6256899	30750.789	542.867433	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3246	2.2386424	14455.4544	297.466256	19.400401	2000-2009 –> 2010-2019	4.8701016	2.6314593	30776.639	613.506021	6	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3246	2.2706178	14545.5262	249.207347	18.747144	2000-2009 –> 2010-2019	4.8980419	2.6274241	30854.223	511.333690	7	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	3246	2.2900076	14600.7289	282.537348	18.731201	2000-2009 –> 2010-2019	4.9217892	2.6317816	30920.750	572.511061	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3246	3.2427677	16861.1142	237.353159	13.670260	2000-2009 –> 2010-2019	6.2500157	3.0072481	34094.548	460.364153	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3246	3.3519358	17074.0698	196.924570	13.987962	2000-2009 –> 2010-2019	6.4490946	3.0971588	34506.831	404.437919	10	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3733	1.7969883	14983.7081	427.236519	11.803271	1982-1999 –> 2000-2009	3.3679979	1.5710096	27699.469	756.429338	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3733	1.8179600	15068.3351	398.690530	12.472969	1982-1999 –> 2000-2009	3.3925143	1.5745543	27797.399	700.636254	3	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3733	1.8139086	15053.6785	494.547916	11.746194	1982-1999 –> 2000-2009	3.4255228	1.6116141	27942.705	883.167033	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3733	1.8317294	15124.6704	458.645788	12.377042	1982-1999 –> 2000-2009	3.4443442	1.6126148	28015.912	810.853352	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	3733	1.9838209	15720.1898	425.653021	13.528716	1982-1999 –> 2000-2009	3.6517738	1.6679529	28840.526	683.121407	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	3733	1.9840635	15719.1029	389.994738	13.588160	1982-1999 –> 2000-2009	3.6524141	1.6683505	28839.058	607.542693	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3733	2.0170555	15844.2301	491.160839	13.472769	1982-1999 –> 2000-2009	3.7258263	1.7087708	29128.730	792.959121	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	3733	2.0170600	15842.2467	444.982475	13.481298	1982-1999 –> 2000-2009	3.7258426	1.7087826	29124.794	696.179581	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	3733	2.3030635	16834.2324	281.915682	9.930897	1982-1999 –> 2000-2009	4.7441099	2.4410463	32540.403	538.997617	10	19
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + aou	3733	2.2917614	16795.5035	941.356210	7.852284	1982-1999 –> 2000-2009	4.9632228	2.6714614	33112.124	1755.859765	9	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4673	2.1708293	20519.5705	564.664483	9.910704	2000-2009 –> 2010-2019	3.9678176	1.7969883	35503.279	991.901001	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4673	2.1800534	20557.1990	543.966197	10.141052	2000-2009 –> 2010-2019	3.9980134	1.8179600	35625.534	942.656727	2	5
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4673	2.1881956	20594.0396	664.112407	9.899753	2000-2009 –> 2010-2019	4.0021042	1.8139086	35647.718	1158.660323	3	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4673	2.1951491	20621.6918	663.344097	10.109248	2000-2009 –> 2010-2019	4.0268785	1.8317294	35746.362	1121.989885	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	4673	2.3067234	21085.0488	513.415970	10.416467	2000-2009 –> 2010-2019	4.2905443	1.9838209	36805.239	939.068991	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	4673	2.3144671	21114.3707	510.467126	10.235375	2000-2009 –> 2010-2019	4.2985306	1.9840635	36833.474	900.461863	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4673	2.3287178	21173.7400	620.629483	10.365348	2000-2009 –> 2010-2019	4.3457733	2.0170555	37017.970	1111.790322	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	4673	2.3393245	21214.2117	614.457701	10.132062	2000-2009 –> 2010-2019	4.3563845	2.0170600	37056.458	1059.440176	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + silicate	4673	2.3804650	21379.1467	108.090783	11.066064	2000-2009 –> 2010-2019	4.6885022	2.3080371	38229.485	188.635590	9	19
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + silicate	4673	2.3906210	21418.9353	129.820110	11.214130	2000-2009 –> 2010-2019	4.7069655	2.3163445	38296.098	221.670250	10	22
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2330	1.2951198	7831.3444	695.955119	6.478848	1982-1999 –> 2000-2009	2.3445288	1.0494090	14611.913	1340.723581	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	2330	1.3248201	7935.0029	606.477990	6.712868	1982-1999 –> 2000-2009	2.3872634	1.0624433	14770.502	1034.427448	3	5
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2330	1.3182410	7913.8036	787.450271	6.393088	1982-1999 –> 2000-2009	2.3951728	1.0769318	14813.771	1527.450865	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2330	1.3488850	8018.8905	679.582104	6.613658	1982-1999 –> 2000-2009	2.4366483	1.0877634	14963.013	1171.510469	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2330	1.3817803	8131.1706	461.755739	8.217415	1982-1999 –> 2000-2009	2.4617392	1.0799588	15042.084	944.064049	5	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2330	1.4146889	8238.8525	385.953191	8.526938	1982-1999 –> 2000-2009	2.5116919	1.0970030	15219.985	685.801241	7	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2330	1.4084567	8220.2783	522.681547	8.187068	1982-1999 –> 2000-2009	2.5144670	1.1060102	15241.124	1072.133719	6	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	2330	1.4432065	8331.8557	432.999278	8.495623	1982-1999 –> 2000-2009	2.5638244	1.1206179	15411.216	775.358810	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	2330	1.7975678	9357.0384	542.330452	13.729486	1982-1999 –> 2000-2009	3.6290451	1.8314773	18704.010	1099.078755	9	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	2330	1.8023451	9369.4067	125.307831	6.552294	1982-1999 –> 2000-2009	3.6308981	1.8285530	18709.008	258.019416	10	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2666	1.6157717	10138.1413	643.750591	7.634839	2000-2009 –> 2010-2019	2.9108914	1.2951198	17969.486	1339.705710	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2666	1.6298302	10184.3334	751.627252	7.893988	2000-2009 –> 2010-2019	2.9480712	1.3182410	18098.137	1539.077523	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	2666	1.6959513	10394.3762	501.113143	7.914251	2000-2009 –> 2010-2019	3.0207714	1.3248201	18329.379	1107.591133	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2666	1.7080391	10432.2451	582.133691	7.849686	2000-2009 –> 2010-2019	3.0569241	1.3488850	18451.136	1261.715794	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2666	1.7572622	10583.7326	550.317314	9.805329	2000-2009 –> 2010-2019	3.1390425	1.3817803	18714.903	1012.073052	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2666	1.7725724	10629.9867	642.046500	9.796807	2000-2009 –> 2010-2019	3.1810291	1.4084567	18850.265	1164.728047	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2666	1.8340740	10809.8502	410.930683	10.208056	2000-2009 –> 2010-2019	3.2487629	1.4146889	19048.703	796.883874	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	2666	1.8480283	10850.2644	477.042679	10.179506	2000-2009 –> 2010-2019	3.2912349	1.4432065	19182.120	910.041957	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	2666	1.9619425	11171.2020	187.168677	10.122875	2000-2009 –> 2010-2019	3.7642876	1.8023451	20540.609	312.476508	9	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + silicate	2666	1.9644086	11177.9000	218.095659	10.191357	2000-2009 –> 2010-2019	3.7688262	1.8044176	20552.662	359.545521	11	22
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5429	1.1817125	17233.7366	407.305781	8.287468	1982-1999 –> 2000-2009	2.1837339	1.0020214	32457.670	808.034563	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5429	1.2037795	17434.6263	478.812524	8.601091	1982-1999 –> 2000-2009	2.2281766	1.0243971	32894.956	961.949252	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	5429	1.4263071	19274.3875	392.744922	7.963740	1982-1999 –> 2000-2009	2.5440110	1.1177038	35665.808	737.107390	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5429	1.4581489	19514.1218	456.712740	8.242541	1982-1999 –> 2000-2009	2.6006878	1.1425389	36140.779	867.593726	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	5429	1.5163295	19938.9400	360.687334	7.936578	1982-1999 –> 2000-2009	2.7557480	1.2394184	37436.789	751.456358	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5429	1.5357671	20077.2425	423.308074	8.247223	1982-1999 –> 2000-2009	2.7847172	1.2489501	37657.095	892.686948	6	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	5429	1.5618991	20258.4437	291.222010	7.928731	1982-1999 –> 2000-2009	2.8052141	1.2433149	37787.891	554.340285	7	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	5429	1.5898031	20450.7137	332.557715	8.411022	1982-1999 –> 2000-2009	2.8454804	1.2556773	38086.066	639.951511	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	5429	1.6177739	20642.0871	147.548833	11.203884	1982-1999 –> 2000-2009	3.1430161	1.5252422	40361.133	345.836245	9	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + silicate	5429	1.6436083	20814.1097	969.179043	8.622186	1982-1999 –> 2000-2009	3.2629658	1.6193575	41174.071	1922.697087	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5861	1.1882427	18668.5552	537.776255	9.386898	2000-2009 –> 2010-2019	2.3699552	1.1817125	35902.292	945.082036	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5861	1.2114128	18894.9277	656.306568	9.696129	2000-2009 –> 2010-2019	2.4151922	1.2037795	36329.554	1135.119092	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	5861	1.3799731	20420.0320	520.663854	10.124825	2000-2009 –> 2010-2019	2.8062803	1.4263071	39694.419	913.408777	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5861	1.4130433	20697.6292	629.372491	10.392485	2000-2009 –> 2010-2019	2.8711922	1.4581489	40211.751	1086.085231	5	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	5861	1.3953931	20550.2887	524.707917	10.466769	2000-2009 –> 2010-2019	2.9117227	1.5163295	40489.229	885.395251	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5861	1.4131390	20698.4234	639.330276	10.805101	2000-2009 –> 2010-2019	2.9489062	1.5357671	40775.666	1062.638350	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	5861	1.4218693	20768.6185	441.273179	10.480118	2000-2009 –> 2010-2019	2.9837685	1.5618991	41027.062	732.495189	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	5861	1.4483718	20985.0955	520.684634	10.771090	2000-2009 –> 2010-2019	3.0381749	1.5898031	41435.809	853.242349	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	5861	1.6419685	22457.6886	279.205573	9.055452	2000-2009 –> 2010-2019	3.2597424	1.6177739	43099.776	426.754406	9	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	5861	1.6599947	22585.6759	74.332568	8.198498	2000-2009 –> 2010-2019	3.3106041	1.6506094	43445.938	125.766990	11	21
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	12018	0.7339040	26683.4189	143.409527	9.548856	1982-1999 –> 2000-2009	1.4929131	0.7590091	53763.752	266.066808	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	12018	0.7413284	26925.3532	172.475427	9.648473	1982-1999 –> 2000-2009	1.5150255	0.7736971	54459.475	327.021061	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	12018	0.7650802	27681.3772	88.135177	9.886043	1982-1999 –> 2000-2009	1.6558324	0.8907521	58549.111	187.282985	3	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	12018	0.8874063	31246.4497	142.681138	9.785677	1982-1999 –> 2000-2009	1.7090904	0.8216842	60203.291	252.886298	5	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	12018	0.8997703	31579.0253	170.980126	9.874355	1982-1999 –> 2000-2009	1.7370739	0.8373037	60981.703	308.919993	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	12018	0.8170105	29259.8501	59.611708	9.930463	1982-1999 –> 2000-2009	1.8637955	1.0467850	63949.190	127.557377	4	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	12018	0.9048156	31713.4260	654.698871	9.240500	1982-1999 –> 2000-2009	2.0469290	1.1421134	68466.292	1152.649555	9	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + silicate	12018	0.9033633	31674.8151	9.906225	9.252795	1982-1999 –> 2000-2009	2.0490801	1.1457168	68502.262	21.649472	7	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	12018	0.9040698	31693.6080	11.386589	9.265802	1982-1999 –> 2000-2009	2.0524031	1.1483333	68575.061	25.886063	8	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + silicate	12018	0.9075279	31783.3708	7.068026	9.058821	1982-1999 –> 2000-2009	2.0594055	1.1518775	68735.786	15.217508	11	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	16048	0.8198431	39180.6271	147.017477	7.117840	2000-2009 –> 2010-2019	1.5537470	0.7339040	65864.046	290.427004	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	16048	0.8277462	39488.5435	180.039325	7.141363	2000-2009 –> 2010-2019	1.5690746	0.7413284	66413.897	352.514752	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	16048	0.8532122	40459.1071	122.429614	7.255937	2000-2009 –> 2010-2019	1.6182924	0.7650802	68140.484	210.564790	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	16048	0.9209071	42909.6643	87.079969	7.040572	2000-2009 –> 2010-2019	1.7379175	0.8170105	72169.514	146.691677	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	16048	0.9487068	43864.2201	137.585800	11.222430	2000-2009 –> 2010-2019	1.8361131	0.8874063	75110.670	280.266937	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	16048	0.9611061	44280.9875	166.208376	11.464832	2000-2009 –> 2010-2019	1.8608764	0.8997703	75860.013	337.188501	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + silicate	16048	1.0048701	45710.1823	10.928586	6.336360	2000-2009 –> 2010-2019	1.9082333	0.9033633	77384.997	20.834810	8	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	16048	1.0041295	45686.5200	824.782056	6.304024	2000-2009 –> 2010-2019	1.9089451	0.9048156	77399.946	1479.480927	7	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	16048	1.0061388	45750.6813	11.436443	6.344547	2000-2009 –> 2010-2019	1.9102087	0.9040698	77444.289	22.823032	10	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + silicate	16048	1.0049579	45710.9879	8.978842	6.350292	2000-2009 –> 2010-2019	1.9124859	0.9075279	77494.359	16.046868	9	20
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6262	1.3418572	21467.5259	78.229784	8.636439	1982-1999 –> 2000-2009	2.3849958	1.0431386	43513.087	151.073542	1	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6262	1.3673427	21703.1601	340.332161	9.070542	1982-1999 –> 2000-2009	2.3934692	1.0261265	43500.793	784.400506	5	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6262	1.3511713	21554.1575	135.172963	8.702808	1982-1999 –> 2000-2009	2.4031869	1.0520156	43727.487	271.985413	2	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6262	1.3604596	21637.9558	20.334305	8.961766	1982-1999 –> 2000-2009	2.4071638	1.0467042	43732.967	35.845504	3	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	6262	1.3633471	21664.5097	28.057326	8.937087	1982-1999 –> 2000-2009	2.4167846	1.0534375	43856.205	57.199631	4	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	6262	1.3852679	21864.2766	332.071996	9.386306	1982-1999 –> 2000-2009	2.4185271	1.0332592	43764.355	512.769664	13	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	6262	1.3989739	21987.5819	323.615062	9.906191	1982-1999 –> 2000-2009	2.4390964	1.0401225	43987.483	592.835149	15	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	6262	1.3780959	21799.2680	30.297058	9.551018	1982-1999 –> 2000-2009	2.4415773	1.0634814	44134.042	68.586421	7	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	6262	1.3753964	21774.7104	26.454368	8.769295	1982-1999 –> 2000-2009	2.4552320	1.0798356	44339.589	34.267629	6	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6262	1.3795991	21812.9210	52.776917	9.477662	1982-1999 –> 2000-2009	2.4579264	1.0783273	44356.723	125.978726	8	17
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6665	1.4246912	23646.6717	79.696023	7.176497	2000-2009 –> 2010-2019	2.7665483	1.3418572	45114.198	157.925807	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6665	1.4247868	23647.5668	135.520175	7.253920	2000-2009 –> 2010-2019	2.7759581	1.3511713	45201.724	270.693139	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6665	1.4276554	23674.3774	516.089532	7.200982	2000-2009 –> 2010-2019	2.7949981	1.3673427	45377.538	856.421692	4	9
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	6665	1.4248411	23646.0745	18.107329	7.226478	2000-2009 –> 2010-2019	2.8002375	1.3753964	45420.785	44.561697	3	9
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6665	1.4276687	23672.5018	42.371710	7.193555	2000-2009 –> 2010-2019	2.8073454	1.3796767	45486.127	112.621538	5	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6665	1.4493607	23873.5141	23.554386	6.404782	2000-2009 –> 2010-2019	2.8098202	1.3604596	45511.470	43.888691	15	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	6665	1.4557824	23932.4451	35.039943	6.442607	2000-2009 –> 2010-2019	2.8191295	1.3633471	45596.955	63.097270	20	24
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	6665	1.4487971	23868.3296	392.891488	6.462361	2000-2009 –> 2010-2019	2.8340649	1.3852679	45732.606	724.963483	14	27
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6665	1.4362967	23752.8179	62.240724	6.504495	2000-2009 –> 2010-2019	2.8411220	1.4048254	45792.674	100.723620	8	26
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6665	1.4384432	23772.7245	105.874509	6.544265	2000-2009 –> 2010-2019	2.8430458	1.4046026	45810.595	171.493589	9	26

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	4.253094	1109.677
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	6.084345	1187.672
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	10.364576	6996.072
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	9.712016	5154.635
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.922616	10506.407
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	8.757179	8547.596
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	8.161098	18297.462
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.681248	16386.478
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	6.272312	23245.846
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.860790	20774.250
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.233371	40593.633
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.635915	36750.730
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.365318	71520.996
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.849643	58618.034
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.254743	17911.034
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	3.020683	17254.052
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.029477	19766.437
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	3.741568	19383.483
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	5.914600	35282.850
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.321701	27597.817
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.017504	5502.067
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.284797	5730.277
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.035575	8708.629
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.222968	8541.835
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.946659	28764.811
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.994397	23243.486
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	2.284682	52221.943
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	2.388203	42660.472
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	14.416714	35384.518
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	13.250571	46844.389
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.542690	35486.649
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.381419	34689.900
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	8.106160	31282.181
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	7.928847	30771.375
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.157067	41249.578
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.073171	40283.088
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.811498	46412.579
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.918447	48776.463
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.486046	61124.557
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.049686	63755.829
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.628077	74506.489
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.382895	77786.267
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	5.623782	27125.954
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.894744	27458.845
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	4.802142	29381.446
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	5.054633	31172.220
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.809357	29304.112
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	4.268151	36676.162
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.687528	15748.663
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.232984	18973.740
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.715375	36966.226
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.891554	40241.150
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.818155	62618.592
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.781589	73328.222
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.421796	43891.273
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.809227	45504.467

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
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
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	oxygen	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	7	6	10	7	7
(26,26.5]	7	9	7	7	7	6
(26.5,26.75]	5	10	6	6	7	7
(26.75,27]	6	10	5	7	7	6
(27,27.25]	6	10	6	10	5	4
(27.25,27.5]	6	10	6	8	5	6
(27.5,27.75]	7	10	6	9	6	4
(27.75,27.85]	7	10	6	9	6	4
(27.85,27.95]	8	10	6	8	5	4
(27.95,28.05]	8	10	6	6	5	6
(28.05,28.1]	8	10	6	6	5	6
(28.1,28.15]	7	10	7	6	6	6
(28.15,28.2]	6	10	6	7	7	7
(28.2, Inf]	7	10	6	6	9	4
total	94.00	136.00	85.00	105.00	87.00	77.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	7	6	8	9	6
(26,26.5]	6	7	6	7	10	7
(26.5,26.75]	7	8	7	6	10	4
(26.75,27]	5	6	5	8	10	6
(27,27.25]	6	10	6	10	5	4
(27.25,27.5]	6	10	6	10	5	4
(27.5,27.75]	6	10	6	10	5	4
(27.75,27.85]	7	10	6	9	6	4
(27.85,27.95]	7	10	6	9	6	4
(27.95,28.05]	8	10	6	6	5	6
(28.05,28.1]	8	10	6	6	5	6
(28.1,28.15]	7	10	7	6	6	6
(28.15,28.2]	6	10	6	7	7	7
(28.2, Inf]	7	10	6	6	9	4
total	93.00	128.00	85.00	108.00	98.00	72.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	7	10	7	6	6	8
(26,26.5]	7	10	6	6	6	7
(26.5,26.75]	7	10	7	6	6	6
(26.75,27]	7	10	6	6	6	7
(27,27.25]	6	10	6	5	5	8
(27.25,27.5]	6	10	6	4	5	8
(27.5,27.75]	6	10	5	5	5	8
(27.75,27.85]	6	10	4	6	5	8
(27.85,27.95]	6	10	4	6	5	8
(27.95,28.05]	6	9	5	6	5	8
(28.05,28.1]	6	9	4	6	6	9
(28.1,28.2]	6	9	5	6	6	8
(28.2,28.3]	6	6	5	8	10	6
(28.3, Inf]	6	7	6	10	7	7
total	88.00	130.00	76.00	86.00	83.00	106.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	10	7	7	6	8
(26,26.5]	7	10	6	6	6	7
(26.5,26.75]	7	10	7	6	6	6
(26.75,27]	7	10	7	6	6	6
(27,27.25]	7	10	6	5	5	7
(27.25,27.5]	6	10	6	4	5	8
(27.5,27.75]	6	10	5	5	5	8
(27.75,27.85]	6	10	4	6	5	8
(27.85,27.95]	6	10	4	6	5	8
(27.95,28.05]	5	8	5	6	6	10
(28.05,28.1]	5	8	5	6	6	10
(28.1,28.2]	6	9	4	6	6	9
(28.2,28.3]	6	6	5	8	10	6
(28.3, Inf]	5	7	6	8	10	7
total	86.00	128.00	77.00	85.00	87.00	108.00

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
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
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