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: c16a5ce

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    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
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.js
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.css
    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	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.
html	829510d	Donghe-Zhu	2021-07-27	Build site.
html	780627d	Donghe-Zhu	2021-07-27	Build site.
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html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
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.
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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.
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html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
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.
html	d50b039	Donghe-Zhu	2021-05-28	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.
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html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
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html	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.
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html	aecbf75	Donghe-Zhu	2021-03-14	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	114	2.0320536	499.1807	172.834150	6.027255	1982-1999 –> 2000-2009	3.2583677	1.2263141	763.1152	320.582013	1	6
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	114	2.2437199	521.7728	135.143490	5.908305	1982-1999 –> 2000-2009	3.3806566	1.1369368	774.0533	276.736073	3	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	114	2.4709187	543.7645	321.834665	5.700481	1982-1999 –> 2000-2009	3.5859384	1.1150197	793.0473	456.467258	5	6
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	114	2.6147760	554.6667	85.616443	6.264664	1982-1999 –> 2000-2009	3.8938462	1.2790702	823.0877	96.551450	7	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	114	2.7664403	567.5220	65.994021	6.587664	1982-1999 –> 2000-2009	3.9377673	1.1713269	822.3917	71.662045	10	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	114	2.7553319	566.6046	55.913383	6.883882	1982-1999 –> 2000-2009	3.9417165	1.1863846	823.4414	61.606432	8	12
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	114	2.5425242	548.2779	71.492114	7.457114	1982-1999 –> 2000-2009	4.0674692	1.5249451	843.7760	109.950549	6	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	114	2.7654902	567.4437	84.588130	6.669285	1982-1999 –> 2000-2009	4.1282351	1.3627449	845.6233	93.727256	9	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	114	2.7852585	569.0677	35.965320	7.430635	1982-1999 –> 2000-2009	4.2829577	1.4976992	861.7894	52.069657	12	21
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	114	3.3030102	607.9402	76.030003	9.982127	1982-1999 –> 2000-2009	4.7971831	1.4941728	900.2989	92.164197	17	25
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	58	0.7359669	143.0347	217.102768	2.730997	2000-2009 –> 2010-2019	2.7680205	2.0320536	642.2154	389.936918	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	58	0.7375296	143.2808	218.226307	2.707713	2000-2009 –> 2010-2019	2.9812495	2.2437199	665.0536	353.369797	2	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	58	0.7395343	143.5957	219.574418	2.685852	2000-2009 –> 2010-2019	3.2104530	2.4709187	687.3602	541.409083	3	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	58	0.7955584	150.0664	28.806707	2.726182	2000-2009 –> 2010-2019	3.3380825	2.5425242	698.3442	100.298821	4	10
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	58	0.8549325	158.4159	23.918932	3.303743	2000-2009 –> 2010-2019	3.4697085	2.6147760	713.0825	109.535375	7	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	58	0.7968470	150.2541	6.163668	2.715764	2000-2009 –> 2010-2019	3.5821055	2.7852585	719.3218	42.128988	5	17
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	58	0.8567431	158.6613	4.044677	3.291804	2000-2009 –> 2010-2019	3.6120750	2.7553319	725.2659	59.958061	8	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	58	0.8582376	158.8635	3.626769	3.281838	2000-2009 –> 2010-2019	3.6246779	2.7664403	726.3854	69.620790	9	19
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	58	1.1064551	188.3316	14.121315	3.821622	2000-2009 –> 2010-2019	3.8719453	2.7654902	755.7753	98.709445	12	21
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	58	1.9995176	256.9740	66.174899	7.216169	2000-2009 –> 2010-2019	4.0405526	2.0410350	755.1601	90.679757	18	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	324	4.7658289	1945.3057	145.864071	15.038192	1982-1999 –> 2000-2009	8.7460363	3.9802075	4653.1678	341.076284	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	324	4.9004826	1963.3604	50.347656	16.650256	1982-1999 –> 2000-2009	9.0351631	4.1346806	4707.8518	93.819281	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	324	4.9504105	1969.9291	49.239238	17.380053	1982-1999 –> 2000-2009	9.1318460	4.1814356	4725.2377	92.295623	4	7
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	324	4.8531022	1955.0647	106.275784	19.579210	1982-1999 –> 2000-2009	9.4707548	4.6176526	4803.8344	241.269448	2	9
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + silicate	324	5.3789853	2021.7320	109.326153	12.028077	1982-1999 –> 2000-2009	9.6856887	4.3067034	4803.4371	234.413444	13	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	324	5.0128859	1976.0558	8.961997	21.072089	1982-1999 –> 2000-2009	9.8171896	4.8043037	4862.9453	17.536605	5	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	324	5.4564031	2030.9920	9.169629	12.035607	1982-1999 –> 2000-2009	9.8797875	4.4233844	4838.4135	17.591459	14	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + silicate	324	5.4604887	2031.4770	8.889899	12.182816	1982-1999 –> 2000-2009	9.8986702	4.4381815	4842.1113	17.121007	15	21
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	324	5.2123113	2001.3353	48.564559	12.945277	1982-1999 –> 2000-2009	9.9906503	4.7783390	4883.0117	91.237042	8	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	324	5.0918217	1986.1801	8.999210	21.629957	1982-1999 –> 2000-2009	9.9934040	4.9015823	4892.3538	17.899573	6	19
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	396	4.1561376	2266.0716	217.752773	15.038259	2000-2009 –> 2010-2019	8.9219665	4.7658289	4211.3773	363.616844	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	396	4.2314643	2280.2974	69.137731	16.401666	2000-2009 –> 2010-2019	9.1319469	4.9004826	4243.6578	119.485388	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	396	4.2355897	2281.0692	66.189532	16.738164	2000-2009 –> 2010-2019	9.1860002	4.9504105	4250.9982	115.428770	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + silicate	396	4.1745440	2267.5714	117.391839	13.681001	2000-2009 –> 2010-2019	9.5535292	5.3789853	4289.3034	226.717992	2	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	396	4.4540275	2318.8958	66.619109	17.425868	2000-2009 –> 2010-2019	9.6628713	5.2088438	4319.7999	116.732778	9	16
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	396	4.4537742	2318.8508	62.450740	17.388905	2000-2009 –> 2010-2019	9.6660855	5.2123113	4320.1861	111.015298	8	16
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	396	4.4562222	2319.2860	131.160712	17.556815	2000-2009 –> 2010-2019	9.6721519	5.2159298	4321.0710	185.652257	10	19
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	396	4.2691554	2285.3208	8.455404	14.280470	2000-2009 –> 2010-2019	9.7255585	5.4564031	4316.3128	17.625034	6	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + silicate	396	4.2857433	2288.3922	7.710093	14.467279	2000-2009 –> 2010-2019	9.7462320	5.4604887	4319.8691	16.599992	7	22
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + nitrate + silicate	396	4.2407115	2280.0263	9.180306	17.491812	2000-2009 –> 2010-2019	9.8235189	5.5828074	4325.8588	18.446951	5	21
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	539	3.2557735	2816.1191	66.069493	10.626683	1982-1999 –> 2000-2009	6.8695677	3.6137943	6755.8869	112.559364	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	539	3.3093370	2833.7099	71.934078	9.977758	1982-1999 –> 2000-2009	6.9236198	3.6142828	6773.6740	119.173806	3	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	539	3.2755649	2820.6523	29.606790	10.413080	1982-1999 –> 2000-2009	6.9502886	3.6747237	6782.6970	68.349767	2	5
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	539	3.5945118	2920.8178	29.138178	11.863508	1982-1999 –> 2000-2009	7.2804224	3.6859105	6887.2761	68.274377	5	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	539	3.5846675	2917.8614	37.671102	11.103464	1982-1999 –> 2000-2009	7.2877660	3.7030984	6891.0748	78.140837	4	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	539	3.7670222	2971.3508	30.114857	13.254871	1982-1999 –> 2000-2009	7.4667464	3.6997242	6943.2406	97.768458	7	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	539	3.6011044	2922.7931	33.398391	9.614526	1982-1999 –> 2000-2009	7.5466725	3.9455682	6988.0968	70.575861	6	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + silicate	539	3.9138982	3012.5832	63.759548	11.407325	1982-1999 –> 2000-2009	9.2079741	5.2940759	7504.7684	109.857185	8	23
Atlantic	(26.5,26.75]	3	cstar_tref ~ sal + aou + silicate	539	3.9143163	3010.6984	1.778672	11.331912	1982-1999 –> 2000-2009	9.2103212	5.2960049	7501.4125	3.797881	9	25
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	539	5.0824362	3294.2181	70.033339	13.824549	1982-1999 –> 2000-2009	9.2130660	4.1306298	7426.0771	117.251997	17	25
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	589	4.7470770	3520.2788	673.554659	15.347708	2000-2009 –> 2010-2019	7.9986456	3.2515686	6335.0048	1020.246162	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	589	4.7611868	3523.7750	43.100945	15.863662	2000-2009 –> 2010-2019	8.0169603	3.2557735	6339.8942	109.170437	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	589	4.8126428	3534.4378	42.482400	15.568087	2000-2009 –> 2010-2019	8.0882076	3.2755649	6355.0901	72.089191	4	7
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	589	4.7901816	3530.9271	45.251815	16.410655	2000-2009 –> 2010-2019	8.0995186	3.3093370	6364.6370	117.185892	3	7
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	589	4.8648423	3547.1460	40.462829	15.839545	2000-2009 –> 2010-2019	8.4593541	3.5945118	6467.9638	69.601007	6	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	589	4.9017745	3556.0552	42.171152	16.337551	2000-2009 –> 2010-2019	8.4864420	3.5846675	6473.9166	79.842254	7	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	589	4.8277017	3538.1181	93.665360	14.755330	2000-2009 –> 2010-2019	8.5947239	3.7670222	6509.4688	123.780217	5	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	589	5.0225351	3584.7248	44.948677	15.634939	2000-2009 –> 2010-2019	8.6236395	3.6011044	6507.5179	78.347068	8	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + silicate	589	5.3743358	3664.4756	636.208288	18.303752	2000-2009 –> 2010-2019	9.2171214	3.8427856	6657.2923	973.408100	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + silicate	589	5.4637590	3683.9150	23.331317	18.205547	2000-2009 –> 2010-2019	9.3776572	3.9138982	6696.4982	87.090864	11	21
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	896	3.9977103	5039.9513	78.056410	30.203424	1982-1999 –> 2000-2009	7.4095853	3.4118750	12151.0611	142.446494	1	2
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	896	3.9997393	5038.8606	76.763028	30.026910	1982-1999 –> 2000-2009	7.4216509	3.4219116	12155.8484	134.520863	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	896	4.0385709	5058.1743	87.400683	29.905054	1982-1999 –> 2000-2009	7.4870741	3.4485032	12197.9233	151.951670	5	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	896	4.0924325	5079.9159	76.428409	29.751007	1982-1999 –> 2000-2009	7.7420210	3.6495885	12369.6649	128.151127	7	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	896	4.5034165	5251.4046	75.145173	33.036302	1982-1999 –> 2000-2009	8.3120162	3.8085997	12655.5333	131.574692	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	896	4.5532214	5271.1142	77.664134	35.850811	1982-1999 –> 2000-2009	8.3242234	3.7710019	12648.6351	170.623877	11	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	896	4.5148354	5255.9426	83.283961	32.329855	1982-1999 –> 2000-2009	8.3681525	3.8533171	12691.3777	139.970004	10	20
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	896	4.9131724	5407.4582	43.761488	13.870349	1982-1999 –> 2000-2009	8.5617989	3.6486265	12696.5002	90.804331	17	21
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + nitrate	896	4.9246279	5409.6315	38.089666	13.854653	1982-1999 –> 2000-2009	8.5800978	3.6554699	12701.6992	64.876201	19	25
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	896	4.9230271	5411.0489	51.061562	13.766952	1982-1999 –> 2000-2009	8.6450245	3.7219974	12753.4887	98.010405	18	25
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1106	5.4729455	6912.6872	70.712077	31.197678	2000-2009 –> 2010-2019	9.4706558	3.9977103	11952.6384	148.768487	2	3
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	1106	5.4784590	6912.9144	64.805452	30.856001	2000-2009 –> 2010-2019	9.4781984	3.9997393	11951.7750	141.568480	4	6
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1106	5.4585613	6906.8658	72.727310	30.898069	2000-2009 –> 2010-2019	9.4971322	4.0385709	11965.0402	160.127993	1	6
Atlantic	(26.75,27]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1106	5.4744582	6911.2985	59.112538	31.849377	2000-2009 –> 2010-2019	9.5668907	4.0924325	11991.2143	135.540947	3	10
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + silicate	1106	5.8624422	7062.7606	27.101776	44.650517	2000-2009 –> 2010-2019	9.8908618	4.0284197	12114.4250	69.853713	5	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + silicate	1106	5.8656620	7063.9752	27.110835	44.728857	2000-2009 –> 2010-2019	9.9395754	4.0739134	12135.7635	69.873448	6	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + aou + silicate	1106	5.9297701	7086.0198	3.626970	45.078588	2000-2009 –> 2010-2019	9.9586983	4.0289282	12135.9104	6.773910	8	12
Atlantic	(26.75,27]	3	cstar_tref ~ sal + oxygen + silicate	1106	5.8931005	7072.2984	3.908970	45.047143	2000-2009 –> 2010-2019	9.9981702	4.1050697	12155.7394	7.623290	7	15
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	1106	5.9873204	7109.3845	65.241323	28.314988	2000-2009 –> 2010-2019	10.4907369	4.5034165	12360.7891	140.386496	10	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1106	5.9779606	7105.9238	67.229327	28.018852	2000-2009 –> 2010-2019	10.4927961	4.5148354	12361.8665	150.513288	9	19
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1339	3.3632798	7062.1081	452.088914	17.463864	1982-1999 –> 2000-2009	5.7466522	2.3833724	14638.4344	1089.626509	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1339	3.3748940	7071.3399	96.317306	17.369318	1982-1999 –> 2000-2009	5.7509300	2.3760360	14637.4740	211.938845	2	3
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1339	3.3769283	7070.9537	416.161991	15.468364	1982-1999 –> 2000-2009	5.7835960	2.4066677	14677.4361	1026.324351	3	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1339	3.3855039	7077.7458	44.059491	15.605146	1982-1999 –> 2000-2009	5.7884124	2.4029084	14679.0602	64.837394	5	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1339	3.4047804	7092.9506	91.657169	17.465652	1982-1999 –> 2000-2009	5.7887875	2.3840071	14668.1571	202.572677	6	9
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1339	3.4085569	7093.9194	14.888979	16.365527	1982-1999 –> 2000-2009	5.8152684	2.4067115	14698.4620	33.032989	7	13
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1339	3.3844548	7078.9158	95.846448	18.117671	1982-1999 –> 2000-2009	5.9191517	2.5346969	14858.7515	211.217406	4	11
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1339	3.4108351	7097.7087	45.988503	15.401888	1982-1999 –> 2000-2009	6.0059360	2.5951009	14953.4051	69.185293	8	16
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1339	3.5361329	7194.3217	71.444030	20.075128	1982-1999 –> 2000-2009	6.2907193	2.7545864	15247.1942	162.642289	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1339	3.6881730	7305.0588	22.040568	13.915027	1982-1999 –> 2000-2009	6.6391392	2.9509662	15583.6001	43.767784	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1533	3.3207907	8044.2877	123.133310	23.778593	2000-2009 –> 2010-2019	6.6956846	3.3748940	15115.6276	219.450615	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1533	3.3795449	8098.0596	631.822122	23.439031	2000-2009 –> 2010-2019	6.7428247	3.3632798	15160.1677	1083.911036	3	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1533	3.3720839	8089.2833	43.376611	19.403668	2000-2009 –> 2010-2019	6.7575878	3.3855039	15167.0291	87.436102	2	7
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1533	3.3845526	8102.5994	132.968421	23.593326	2000-2009 –> 2010-2019	6.7690074	3.3844548	15181.5151	228.814868	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1533	3.4280211	8139.7259	628.811896	19.170222	2000-2009 –> 2010-2019	6.8049494	3.3769283	15210.6796	1044.973887	6	9
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1533	3.4510267	8160.2333	43.300154	18.459196	2000-2009 –> 2010-2019	6.8618618	3.4108351	15257.9419	89.288657	7	15
Atlantic	(27,27.25]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1533	3.3850233	8101.0257	116.545537	23.541719	2000-2009 –> 2010-2019	6.9211562	3.5361329	15295.3475	187.989567	5	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + nitrate + silicate	1533	3.5871287	8278.8270	123.118683	26.535330	2000-2009 –> 2010-2019	6.9919091	3.4047804	15371.7776	214.775852	9	15
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + nitrate	1533	3.6207977	8305.4704	16.002049	22.778098	2000-2009 –> 2010-2019	7.0293546	3.4085569	15399.3898	30.891028	10	17
Atlantic	(27,27.25]	3	cstar_tref ~ sal + oxygen + nitrate	1533	3.4571227	8163.6443	25.222043	18.044353	2000-2009 –> 2010-2019	7.1452957	3.6881730	15468.7031	47.262610	8	18
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2283	4.3873104	13244.6923	40.936289	16.275016	1982-1999 –> 2000-2009	7.1492763	2.7619660	25511.0148	115.860741	1	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2283	4.5006852	13361.1860	37.332085	16.914506	1982-1999 –> 2000-2009	7.1941342	2.6934489	25501.1035	106.025877	3	4
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2283	4.4378420	13294.9814	38.681857	17.871903	1982-1999 –> 2000-2009	7.2017965	2.7639545	25562.9255	70.886436	2	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2283	4.5311172	13389.9556	37.257787	17.165748	1982-1999 –> 2000-2009	7.2246696	2.6935525	25528.0666	68.274207	4	6
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2283	4.5761396	13437.1007	284.300035	16.675848	1982-1999 –> 2000-2009	7.3251466	2.7490070	25679.7578	794.481839	5	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2283	4.6002992	13459.1434	284.152767	17.573690	1982-1999 –> 2000-2009	7.3506216	2.7503223	25702.2077	794.136386	6	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2283	4.6016307	13460.4647	35.809773	17.671647	1982-1999 –> 2000-2009	7.6275459	3.0259152	26184.0623	104.328435	7	16
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2283	4.6268037	13483.3748	6.654390	18.824313	1982-1999 –> 2000-2009	7.6533165	3.0265128	26205.9659	16.669491	8	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2283	4.8909955	13738.9228	35.815672	19.220554	1982-1999 –> 2000-2009	7.8400155	2.9490200	26332.9932	104.482480	11	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2283	4.7719664	13626.4285	38.107500	17.902614	1982-1999 –> 2000-2009	7.8428420	3.0708756	26424.2436	113.031645	9	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2414	3.9527909	13500.3442	48.073108	26.209969	2000-2009 –> 2010-2019	8.3401013	4.3873104	26745.0364	89.009397	1	2
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2414	4.0044061	13560.9796	45.096228	24.447602	2000-2009 –> 2010-2019	8.4422481	4.4378420	26855.9610	83.778085	5	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2414	3.9673259	13518.0648	45.519501	24.833379	2000-2009 –> 2010-2019	8.4680111	4.5006852	26879.2508	82.851586	2	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2414	3.9681264	13519.0388	588.785925	25.231922	2000-2009 –> 2010-2019	8.5442659	4.5761396	26956.1396	873.085961	3	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2414	4.0231354	13583.5084	45.109749	22.885171	2000-2009 –> 2010-2019	8.5542526	4.5311172	26973.4641	82.367537	6	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2414	3.9684172	13517.3927	41.592971	25.072112	2000-2009 –> 2010-2019	8.5700479	4.6016307	26977.8574	77.402744	4	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2414	4.0262005	13587.1853	586.349391	23.259677	2000-2009 –> 2010-2019	8.6264997	4.6002992	27046.3287	870.502158	7	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2414	4.0262027	13585.1879	6.834031	23.246394	2000-2009 –> 2010-2019	8.6530064	4.6268037	27068.5627	13.488421	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	2414	4.1930853	13783.2682	42.215868	30.240878	2000-2009 –> 2010-2019	9.3379232	5.1448379	27753.2215	77.781090	9	22
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + oxygen + nitrate	2414	4.3156340	13920.3505	11.208750	28.097454	2000-2009 –> 2010-2019	9.4606142	5.1449801	27888.4300	21.778735	10	24
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4346	2.2682625	19466.2845	26.565947	13.295971	1982-1999 –> 2000-2009	3.8981796	1.6299171	38802.9319	69.426216	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4346	2.2727372	19483.4147	26.714315	14.584546	1982-1999 –> 2000-2009	3.9080723	1.6353351	38853.6796	69.693519	3	5
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4346	2.2718266	19479.9314	168.806763	13.135002	1982-1999 –> 2000-2009	3.9423287	1.6705021	39065.7270	474.209576	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4346	2.2987248	19580.2392	15.828609	12.335846	1982-1999 –> 2000-2009	3.9811315	1.6824067	39235.9691	31.571796	5	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4346	2.3016005	19591.1062	15.940514	13.711909	1982-1999 –> 2000-2009	3.9924284	1.6908279	39297.4146	32.630078	6	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4346	2.3036488	19598.8381	166.800202	12.116134	1982-1999 –> 2000-2009	4.0282033	1.7245545	39505.2190	465.859900	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4346	2.2803854	19510.6159	26.155436	13.411941	1982-1999 –> 2000-2009	4.2488031	1.9684177	40756.8033	67.797824	4	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4346	2.3161607	19643.9196	3.158853	12.385065	1982-1999 –> 2000-2009	4.3695367	2.0533761	41316.1530	8.431288	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	4346	2.7249460	21058.6970	24.011364	15.580180	1982-1999 –> 2000-2009	5.5909516	2.8660056	46110.6168	60.995798	9	24
Atlantic	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4346	3.4288527	23055.9196	25.995674	12.896806	1982-1999 –> 2000-2009	5.6565384	2.2276857	45555.5247	67.610013	11	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4600	2.2118231	20371.3518	254.003516	20.328187	2000-2009 –> 2010-2019	4.4836497	2.2718266	39851.2832	422.810279	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4600	2.2161806	20389.4587	24.678747	20.039857	2000-2009 –> 2010-2019	4.4844431	2.2682625	39855.7432	51.244694	3	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4600	2.2128371	20375.5688	24.830285	21.511411	2000-2009 –> 2010-2019	4.4855743	2.2727372	39858.9835	51.544599	2	5
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4600	2.2252752	20425.1360	24.578379	20.103971	2000-2009 –> 2010-2019	4.5056606	2.2803854	39935.7518	50.733815	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4600	2.5129194	21543.5303	18.095744	18.348518	2000-2009 –> 2010-2019	4.8145199	2.3016005	41134.6365	34.036258	7	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4600	2.5164584	21556.4775	17.137369	16.664465	2000-2009 –> 2010-2019	4.8151831	2.2987248	41136.7167	32.965978	8	13
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4600	2.5127668	21542.9715	253.726671	16.899642	2000-2009 –> 2010-2019	4.8164156	2.3036488	41141.8095	420.526874	6	13
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4600	2.5211199	21571.5041	3.114961	16.730824	2000-2009 –> 2010-2019	4.8372806	2.3161607	41215.4237	6.273814	9	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	4600	2.3924988	21091.7471	23.668911	21.333479	2000-2009 –> 2010-2019	5.1174447	2.7249460	42150.4441	47.680275	5	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + oxygen + nitrate	4600	2.7545785	22386.2672	4.430685	17.608152	2000-2009 –> 2010-2019	5.6043041	2.8497256	43832.1408	9.163596	10	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1746	1.1496312	5455.8620	311.447732	12.764505	1982-1999 –> 2000-2009	1.9050931	0.7554619	9586.7237	803.828851	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1746	1.1682299	5511.9033	25.471613	12.746379	1982-1999 –> 2000-2009	1.9531242	0.7848943	9780.9673	65.216020	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1746	1.2058332	5622.5337	25.110433	12.788432	1982-1999 –> 2000-2009	2.0327381	0.8269049	10080.1383	63.846648	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1746	1.1995277	5602.2256	24.620772	12.585357	1982-1999 –> 2000-2009	2.1096170	0.9100893	10404.4347	62.123972	3	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1746	1.3478577	6009.3528	311.134118	11.833064	1982-1999 –> 2000-2009	2.2101788	0.8623211	10616.6052	798.817209	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1746	1.3722588	6072.0052	22.063813	11.772827	1982-1999 –> 2000-2009	2.2719134	0.8996546	10832.5153	43.255071	6	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1746	1.4248277	6203.2790	25.052690	11.763468	1982-1999 –> 2000-2009	2.3779554	0.9531277	11172.5697	48.853184	8	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1746	1.3963725	6130.8346	3.412304	11.626706	1982-1999 –> 2000-2009	2.4195550	1.0231826	11354.5876	8.556268	7	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1746	1.4504415	6265.4963	23.054361	12.369658	1982-1999 –> 2000-2009	2.7714636	1.3210221	12415.0933	56.783070	9	22
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1746	1.7116578	6843.7520	43.782066	13.517493	1982-1999 –> 2000-2009	2.8817180	1.1700602	12554.5453	114.320425	11	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1752	1.1174113	5374.9559	415.839496	5.123507	2000-2009 –> 2010-2019	2.2670425	1.1496312	10830.8180	727.287228	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1752	1.1468062	5465.9415	26.017183	5.116951	2000-2009 –> 2010-2019	2.3150361	1.1682299	10977.8448	51.488796	2	4
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1752	1.1868050	5586.0725	29.903494	5.217021	2000-2009 –> 2010-2019	2.3926381	1.2058332	11208.6061	55.013926	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1752	1.2203474	5681.7316	18.250832	5.859747	2000-2009 –> 2010-2019	2.4198751	1.1995277	11283.9572	42.871604	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1752	1.5085083	6424.5295	16.824567	7.554396	2000-2009 –> 2010-2019	2.9589497	1.4504415	12690.0258	39.878928	5	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1752	1.9285244	7285.2306	402.310255	7.462267	2000-2009 –> 2010-2019	3.2763821	1.3478577	13294.5835	713.444374	7	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1752	2.0002856	7413.2486	25.766676	8.816615	2000-2009 –> 2010-2019	3.3725444	1.3722588	13485.2538	47.830488	10	16
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1752	2.0829144	7553.0839	4.210120	10.921117	2000-2009 –> 2010-2019	3.4792868	1.3963725	13683.9184	7.622424	12	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1752	2.0734054	7539.0507	29.387933	9.366899	2000-2009 –> 2010-2019	3.4982331	1.4248277	13742.3297	54.440623	11	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1752	1.8458943	7131.7860	80.744198	7.195031	2000-2009 –> 2010-2019	3.5575520	1.7116578	13975.5379	124.526264	6	17
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1725	2.4623479	8018.1858	150.309439	24.593950	1982-1999 –> 2000-2009	3.0858589	0.6235110	11839.2089	453.655365	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1725	2.4726093	8032.5332	27.356277	24.592128	1982-1999 –> 2000-2009	3.1163915	0.6437822	11982.2361	64.198681	3	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1725	2.4894400	8055.9373	26.532499	24.667772	1982-1999 –> 2000-2009	3.1671979	0.6777579	12212.4904	62.043655	5	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1725	2.4685560	8024.8731	150.297599	24.552139	1982-1999 –> 2000-2009	3.1715465	0.7029905	12326.4430	448.494182	2	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	1725	2.4805146	8041.5457	15.794657	24.531230	1982-1999 –> 2000-2009	3.2177245	0.7372099	12534.2785	30.945961	4	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1725	2.5009500	8069.8517	20.500876	24.593732	1982-1999 –> 2000-2009	3.2919013	0.7909514	12845.5879	39.925890	6	12
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1725	2.5078126	8079.3055	26.016115	24.130727	1982-1999 –> 2000-2009	3.3769921	0.8691795	13234.3693	59.764023	7	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	1725	2.5130226	8084.4654	5.945238	24.096469	1982-1999 –> 2000-2009	3.4485721	0.9355495	13533.4858	14.120972	8	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1725	2.8013338	8461.1680	63.458849	26.255353	1982-1999 –> 2000-2009	3.9945684	1.1932346	14890.6967	178.421867	11	20
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1725	2.6609110	8283.7445	24.679893	23.685140	1982-1999 –> 2000-2009	4.0009711	1.3400601	15180.0128	53.663431	9	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1795	1.0267319	5202.6966	186.749894	8.286792	2000-2009 –> 2010-2019	3.4890798	2.4623479	13220.8825	337.059332	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1795	1.0568220	5306.3953	22.232325	8.390648	2000-2009 –> 2010-2019	3.5294313	2.4726093	13338.9285	49.588602	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1795	1.0954889	5435.3999	28.904764	8.534331	2000-2009 –> 2010-2019	3.5849288	2.4894400	13491.3371	55.437263	3	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	1795	1.2940931	6031.5277	19.178858	7.829815	2000-2009 –> 2010-2019	3.8019056	2.5078126	14110.8332	45.194973	4	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1795	1.6060854	6806.9306	186.557416	8.355314	2000-2009 –> 2010-2019	4.0746414	2.4685560	14831.8037	336.855016	5	7
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	1795	1.6662127	6938.8754	22.200890	8.401745	2000-2009 –> 2010-2019	4.1467273	2.4805146	14980.4211	37.995548	6	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1795	1.7306890	7075.1747	28.809653	8.564826	2000-2009 –> 2010-2019	4.2316390	2.5009500	15145.0264	49.310529	8	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	1795	1.8068627	7227.8048	7.150497	8.355237	2000-2009 –> 2010-2019	4.3198853	2.5130226	15312.2702	13.095736	9	17
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	1795	1.7218193	7056.7287	19.189370	12.395569	2000-2009 –> 2010-2019	4.3827303	2.6609110	15340.4732	43.869263	7	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1795	1.9805680	7559.3368	96.072000	13.189402	2000-2009 –> 2010-2019	4.7819018	2.8013338	16020.5047	159.530848	10	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1893	3.9333256	10570.9726	195.056903	26.500224	1982-1999 –> 2000-2009	6.7469998	2.8136742	22248.5773	492.923158	1	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1893	3.9542300	10589.0407	148.379807	28.057144	1982-1999 –> 2000-2009	6.7917480	2.8375179	22304.7623	444.317410	2	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1893	3.9985304	10631.2205	56.100917	36.609342	1982-1999 –> 2000-2009	6.8929991	2.8944687	22441.4130	154.268399	3	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	1893	4.0707100	10696.9540	51.057981	44.568433	1982-1999 –> 2000-2009	6.9782801	2.9075701	22526.6163	137.815651	4	13
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1893	4.2558135	10869.3118	30.298295	36.747303	1982-1999 –> 2000-2009	7.0499343	2.7941208	22513.7638	66.124485	5	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	1893	4.2683310	10878.4311	24.245066	39.595320	1982-1999 –> 2000-2009	7.1725866	2.9042556	22704.6709	54.372825	6	14
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	1893	4.3447413	10945.6074	22.497732	42.286898	1982-1999 –> 2000-2009	7.1790990	2.8343577	22656.0313	43.624876	7	11
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1893	4.3949307	10991.0917	47.654133	38.971258	1982-1999 –> 2000-2009	7.1791908	2.7842601	22618.7366	81.492195	8	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1893	4.4009331	10994.2589	23.327760	40.697422	1982-1999 –> 2000-2009	7.3206587	2.9197256	22845.7544	52.436167	9	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	1893	4.4085612	10998.8154	12.875103	51.531644	1982-1999 –> 2000-2009	7.3411844	2.9326233	22869.2651	29.784765	10	21
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2099	2.6105529	9998.9453	175.787355	18.933322	2000-2009 –> 2010-2019	6.5438785	3.9333256	20569.9179	370.844258	3	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2099	2.7466330	10210.2615	168.483174	19.664626	2000-2009 –> 2010-2019	6.7008630	3.9542300	20799.3023	316.862981	4	6
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2099	2.5939797	9972.2092	30.875683	18.705637	2000-2009 –> 2010-2019	6.8497932	4.2558135	20841.5210	61.173977	2	7
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2099	2.5887386	9963.7187	50.066572	18.558638	2000-2009 –> 2010-2019	6.9836693	4.3949307	20954.8103	97.720705	1	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2099	3.0826353	10694.7487	131.952349	21.196983	2000-2009 –> 2010-2019	7.0811657	3.9985304	21325.9692	188.053266	8	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	2099	2.7755598	10254.2425	27.213733	19.634968	2000-2009 –> 2010-2019	7.1203010	4.3447413	21199.8499	49.711465	5	12
Atlantic	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	2099	3.1073192	10726.2299	108.389319	21.381836	2000-2009 –> 2010-2019	7.1780291	4.0707100	21423.1840	159.447300	12	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2099	2.8047900	10298.2217	45.078623	19.653026	2000-2009 –> 2010-2019	7.3111305	4.5063405	21382.0908	83.353581	6	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	2099	3.0853891	10698.4972	30.585953	20.928536	2000-2009 –> 2010-2019	7.3537201	4.2683310	21576.9283	54.831019	9	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2099	3.0950696	10711.6479	38.489811	20.841032	2000-2009 –> 2010-2019	7.4960026	4.4009331	21705.9068	61.817572	10	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1044	0.4945146	1506.4188	374.937060	4.635665	1982-1999 –> 2000-2009	0.8221844	0.3276698	2299.6160	943.911538	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1044	0.5209944	1613.3344	339.312816	4.412449	1982-1999 –> 2000-2009	0.8741749	0.3531805	2597.2120	841.024512	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1044	0.5413749	1695.4565	53.782521	5.188537	1982-1999 –> 2000-2009	0.8971261	0.3557512	2699.9729	122.110321	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1044	0.5551042	1745.7481	53.133767	5.030969	1982-1999 –> 2000-2009	0.9188820	0.3637778	2805.6053	120.789543	4	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1044	0.5741160	1818.0628	65.222394	5.472658	1982-1999 –> 2000-2009	0.9558058	0.3816898	3003.4471	131.579428	6	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1044	0.5823628	1845.8419	56.168464	5.366207	1982-1999 –> 2000-2009	0.9654639	0.3831012	3038.7115	121.464112	7	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1044	0.5720410	1808.5025	230.526685	3.957698	1982-1999 –> 2000-2009	0.9912942	0.4192532	3233.1245	597.193858	5	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1044	0.6161748	1961.6828	155.430823	3.523821	1982-1999 –> 2000-2009	1.0911700	0.4749952	3705.1168	347.095296	8	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1044	0.6359478	2029.6340	53.583176	4.551091	1982-1999 –> 2000-2009	1.1139065	0.4779586	3791.0521	119.779264	9	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1044	0.6618800	2111.0867	53.036869	4.250029	1982-1999 –> 2000-2009	1.1681241	0.5062440	4018.2661	117.663035	10	20
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1181	0.5921716	2127.9422	383.001007	2.217616	2000-2009 –> 2010-2019	1.0866863	0.4945146	3634.3611	757.938067	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1181	0.5935338	2131.3694	336.138533	2.222457	2000-2009 –> 2010-2019	1.1145283	0.5209944	3744.7039	675.451350	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1181	0.6378032	2303.2812	99.364735	2.531099	2000-2009 –> 2010-2019	1.1791781	0.5413749	3998.7377	153.147256	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1181	0.6467930	2334.3411	94.700093	2.638262	2000-2009 –> 2010-2019	1.2018972	0.5551042	4080.0892	147.833860	4	8
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1181	0.6681660	2413.1303	98.491765	2.770242	2000-2009 –> 2010-2019	1.2422820	0.5741160	4231.1932	163.714159	5	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1181	0.6825844	2461.5581	92.650887	2.879003	2000-2009 –> 2010-2019	1.2649472	0.5823628	4307.4001	148.819351	6	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1181	0.7082477	2548.7341	366.485980	2.380574	2000-2009 –> 2010-2019	1.2802887	0.5720410	4357.2366	597.012665	7	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1181	0.7338738	2630.6870	255.270013	2.708366	2000-2009 –> 2010-2019	1.3500486	0.6161748	4592.3698	410.700836	8	16
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1181	0.7723308	2753.3283	89.283875	2.371523	2000-2009 –> 2010-2019	1.4082786	0.6359478	4782.9622	142.867051	9	18
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1181	0.7825800	2782.4669	88.838950	2.508349	2000-2009 –> 2010-2019	1.4444600	0.6618800	4893.5536	141.875819	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1610	0.5323105	2552.6807	535.690097	4.050868	1982-1999 –> 2000-2009	0.9322022	0.3998917	4176.2965	1000.304586	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1610	0.5399321	2596.4581	302.863688	3.914091	1982-1999 –> 2000-2009	0.9416689	0.4017368	4232.8230	518.282527	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1610	0.5643692	2740.9922	83.278564	4.336217	1982-1999 –> 2000-2009	0.9907346	0.4263654	4569.9937	139.838676	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1610	0.5820920	2838.5536	79.290537	4.130670	1982-1999 –> 2000-2009	1.0171613	0.4350693	4730.3039	135.476487	4	8
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1610	0.5859879	2862.0335	82.793490	4.464601	1982-1999 –> 2000-2009	1.0331348	0.4471469	4843.5152	138.378474	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1610	0.6092713	2985.4992	78.198723	4.185550	1982-1999 –> 2000-2009	1.0710025	0.4617312	5067.8157	133.193439	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1610	0.6127980	3004.0841	359.309595	6.439995	1982-1999 –> 2000-2009	1.1707491	0.5579511	5692.8803	692.116475	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1610	0.6130134	3003.2157	230.564559	6.513679	1982-1999 –> 2000-2009	1.1728214	0.5598079	5700.6572	376.999340	8	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1610	0.6326111	3106.5461	81.970627	6.729076	1982-1999 –> 2000-2009	1.1926034	0.5599922	5807.0423	137.978318	9	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1610	0.6341533	3112.3863	79.072703	6.520804	1982-1999 –> 2000-2009	1.1941741	0.5600208	5811.0458	134.871318	10	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1750	0.6009052	3197.6714	529.821897	3.460469	2000-2009 –> 2010-2019	1.1332156	0.5323105	5750.3521	1065.511993	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1750	0.6316895	3372.5345	149.527860	3.598517	2000-2009 –> 2010-2019	1.1960588	0.5643692	6113.5266	232.806424	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1750	0.6707149	3580.3457	487.494237	3.879906	2000-2009 –> 2010-2019	1.2106470	0.5399321	6176.8038	790.357925	7	9
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1750	0.6517536	3481.9746	150.646239	3.670787	2000-2009 –> 2010-2019	1.2377416	0.5859879	6344.0082	233.439728	5	10
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1750	0.6310760	3367.1337	390.006237	3.804600	2000-2009 –> 2010-2019	1.2438741	0.6127980	6371.2178	749.315832	2	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1750	0.6478434	3458.9130	146.889613	3.869483	2000-2009 –> 2010-2019	1.2804545	0.6326111	6565.4591	228.860240	4	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1750	0.7235726	3845.8444	123.082661	3.904864	2000-2009 –> 2010-2019	1.3056645	0.5820920	6684.3980	202.373197	9	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1750	0.6621782	3535.5127	146.773957	3.901155	2000-2009 –> 2010-2019	1.3092461	0.6470679	6714.8158	228.440723	6	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1750	0.7039546	3747.6398	336.199463	3.904666	2000-2009 –> 2010-2019	1.3169680	0.6130134	6750.8556	566.764022	8	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1750	0.7507831	3975.0502	121.568259	3.846522	2000-2009 –> 2010-2019	1.3600544	0.6092713	6960.5494	199.766982	11	17
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2861	0.8145531	6959.4945	409.523497	4.877923	1982-1999 –> 2000-2009	1.5573239	0.7427708	13705.1623	775.421250	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2861	0.8552690	7238.5933	157.355672	4.744130	1982-1999 –> 2000-2009	1.6283355	0.7730665	14224.2062	276.484555	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2861	0.8758638	7374.7457	156.708214	4.971077	1982-1999 –> 2000-2009	1.6688715	0.7930077	14513.2170	275.383737	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2861	0.9409395	7782.8313	330.562313	5.041886	1982-1999 –> 2000-2009	1.8161202	0.8751807	15511.0845	570.898102	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2861	0.9522795	7851.3792	355.181523	7.334347	1982-1999 –> 2000-2009	1.8193483	0.8670688	15523.7412	629.149779	5	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	2861	0.9631933	7916.5849	106.711884	5.308287	1982-1999 –> 2000-2009	1.8483315	0.8851382	15712.7410	178.619823	6	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	2861	0.9789386	8009.3657	118.785529	6.875823	1982-1999 –> 2000-2009	1.8637497	0.8848111	15803.3035	208.768020	7	13
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2861	0.9795378	8012.8671	105.347919	5.417614	1982-1999 –> 2000-2009	1.8763540	0.8968162	15887.6922	175.688704	8	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2861	0.9924379	8087.7315	119.859831	6.897559	1982-1999 –> 2000-2009	1.8885202	0.8960823	15957.6428	210.579062	9	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	2861	1.2793409	9540.7526	148.405506	13.608931	1982-1999 –> 2000-2009	2.4323056	1.1529647	18923.5261	266.887540	11	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3263	0.8874221	8494.5634	523.688901	3.947521	2000-2009 –> 2010-2019	1.7019752	0.8145531	15454.0579	933.212398	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3263	0.9255260	8768.9256	247.260051	4.045677	2000-2009 –> 2010-2019	1.7807950	0.8552690	16007.5190	404.615723	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3263	0.9428463	8889.9244	248.721157	4.026890	2000-2009 –> 2010-2019	1.8187101	0.8758638	16264.6701	405.429371	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3263	0.9767929	9118.7583	460.914739	4.449414	2000-2009 –> 2010-2019	1.9177324	0.9409395	16901.5896	791.477052	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3263	0.9976126	9256.3940	155.852031	4.773660	2000-2009 –> 2010-2019	1.9608059	0.9631933	17172.9789	262.563915	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3263	1.0112480	9344.9873	154.178295	4.899495	2000-2009 –> 2010-2019	1.9907858	0.9795378	17357.8544	259.526213	6	14
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3263	1.0622311	9665.9773	459.614466	4.030455	2000-2009 –> 2010-2019	2.0145106	0.9522795	17517.3565	814.795989	7	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	3263	1.0861413	9811.2451	200.122690	4.162166	2000-2009 –> 2010-2019	2.0650799	0.9789386	17820.6109	318.908219	8	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3263	1.0966289	9873.9567	204.452375	4.172293	2000-2009 –> 2010-2019	2.0890668	0.9924379	17961.6882	324.312206	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + nitrate + silicate	3263	1.1701119	10297.2235	82.602799	3.665478	2000-2009 –> 2010-2019	2.3969919	1.2268800	19598.3921	153.432292	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3547	1.2063722	11410.9097	56.645223	5.508713	1982-1999 –> 2000-2009	2.1908846	0.9845125	22199.6759	163.718977	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3547	1.2087616	11424.9463	54.932543	5.528690	1982-1999 –> 2000-2009	2.1951925	0.9864309	22228.6599	95.512241	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3547	1.2158470	11466.4082	54.634112	5.562175	1982-1999 –> 2000-2009	2.2101796	0.9943326	22331.3803	95.226290	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	3547	1.2161842	11466.3750	37.999616	5.486039	1982-1999 –> 2000-2009	2.2133070	0.9971228	22350.8623	71.686045	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3547	1.2499835	11660.8365	26.192523	6.004922	1982-1999 –> 2000-2009	2.2507228	1.0007393	22573.1207	69.467508	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	3547	1.2587360	11710.3363	15.142121	6.118665	1982-1999 –> 2000-2009	2.2647652	1.0060292	22663.0997	32.213460	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3547	1.2670105	11756.8176	14.660486	6.146297	1982-1999 –> 2000-2009	2.2843740	1.0173635	22795.6001	31.412956	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3547	1.3170063	12031.3623	49.364024	5.766579	1982-1999 –> 2000-2009	2.4973107	1.1803044	24210.7724	87.835420	8	17
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	3547	1.5128093	13012.6419	9.020644	11.517782	1982-1999 –> 2000-2009	2.6516646	1.1388553	24915.5732	20.677248	15	23
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3547	1.3756826	12340.5816	35.972349	9.082984	1982-1999 –> 2000-2009	2.9302102	1.5545276	26634.5080	91.913489	9	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5357	1.1700189	16898.8184	196.550253	7.399417	2000-2009 –> 2010-2019	2.3763911	1.2063722	28309.7280	253.195476	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5357	1.1740107	16935.3094	130.668328	7.419547	2000-2009 –> 2010-2019	2.3827722	1.2087616	28360.2557	185.600871	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5357	1.1829304	17016.4034	133.005179	7.491933	2000-2009 –> 2010-2019	2.3987775	1.2158470	28482.8117	187.639291	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	5357	1.1939317	17113.5831	111.872672	7.158516	2000-2009 –> 2010-2019	2.4101158	1.2161842	28579.9581	149.872287	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5357	1.2327302	17456.2121	170.273220	9.151581	2000-2009 –> 2010-2019	2.4827136	1.2499835	29117.0486	196.465744	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	5357	1.2446157	17559.0183	85.550237	9.334002	2000-2009 –> 2010-2019	2.5033517	1.2587360	29269.3546	100.692358	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5357	1.2589158	17681.4152	85.724664	9.466417	2000-2009 –> 2010-2019	2.5259263	1.2670105	29438.2329	100.385150	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	5357	1.2872577	17919.9443	92.361389	6.634333	2000-2009 –> 2010-2019	2.6042640	1.3170063	29951.3066	141.725412	8	16
Atlantic	(28.2, Inf]	3	cstar_tref ~ aou + nitrate + silicate	5357	1.3316295	18281.0331	11.358513	9.817736	2000-2009 –> 2010-2019	2.8444388	1.5128093	31293.6749	20.379157	9	24
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5357	1.4897448	19485.1593	190.084693	10.719703	2000-2009 –> 2010-2019	2.8654274	1.3756826	31825.7409	226.057042	11	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2482	5.6900802	15688.6385	53.395718	20.994543	1982-1999 –> 2000-2009	11.6918173	6.0017371	24500.7442	103.470109	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2482	5.7887454	15771.9758	49.403438	19.717007	1982-1999 –> 2000-2009	11.8165237	6.0277784	24593.9445	99.475566	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2482	6.2561418	16159.4209	11.841924	28.299194	1982-1999 –> 2000-2009	12.4105931	6.1544513	25040.3737	22.469471	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	2482	6.3422187	16225.2539	11.213615	27.237406	1982-1999 –> 2000-2009	12.5378422	6.1956235	25122.4758	21.252402	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2482	6.6762855	16482.0715	11.945712	30.622286	1982-1999 –> 2000-2009	13.1600537	6.4837683	25505.8502	22.579877	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2482	6.7405754	16527.6441	11.318355	29.482907	1982-1999 –> 2000-2009	13.2634638	6.5228884	25565.9050	21.385295	6	12
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	2482	8.0322327	17399.9189	618.147002	31.534012	1982-1999 –> 2000-2009	16.0838084	8.0515757	27017.0883	1335.092171	7	14
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2482	8.0416329	17403.7249	11.924351	32.619917	1982-1999 –> 2000-2009	16.3067837	8.2651507	27090.6280	22.553584	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	2482	8.0768504	17425.4168	11.840169	31.825788	1982-1999 –> 2000-2009	16.8969139	8.8200635	27290.3680	22.385451	9	18
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + aou + nitrate	2482	8.5512879	17708.7615	575.370119	30.452627	1982-1999 –> 2000-2009	17.5296011	8.9783131	27622.4380	1083.940427	11	21
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3760	5.5856589	23620.3398	74.822607	43.590604	2000-2009 –> 2010-2019	11.2757391	5.6900802	39308.9783	128.218324	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + aou + nitrate	3760	5.5996601	23639.1662	873.053060	54.547088	2000-2009 –> 2010-2019	11.3731751	5.7735150	39400.0643	1775.048762	2	4
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3760	5.6300609	23677.8821	66.308779	42.776651	2000-2009 –> 2010-2019	11.4188062	5.7887454	39449.8579	115.712216	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3760	6.1514472	24345.9068	15.415739	34.434646	2000-2009 –> 2010-2019	12.4075890	6.2561418	40505.3278	27.257662	4	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	3760	6.1652085	24360.7109	13.840991	33.874349	2000-2009 –> 2010-2019	12.5074272	6.3422187	40585.9648	25.054606	5	10
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3760	6.6169574	24894.4779	15.889117	37.577515	2000-2009 –> 2010-2019	13.2932429	6.6762855	41376.5494	27.834829	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3760	6.6183437	24894.0533	14.248277	37.373866	2000-2009 –> 2010-2019	13.3589191	6.7405754	41421.6974	25.566632	7	14
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + oxygen + aou + nitrate + silicate	3760	7.2587110	25590.5788	717.724201	39.269075	2000-2009 –> 2010-2019	15.2909437	8.0322327	42990.4977	1335.871203	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	3760	7.2778228	25608.3525	14.378115	38.251947	2000-2009 –> 2010-2019	15.3546732	8.0768504	43033.7693	26.218284	9	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3760	7.4505438	25784.7362	15.203632	38.399085	2000-2009 –> 2010-2019	15.4921767	8.0416329	43188.4611	27.127983	11	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2511	3.8011109	13845.7526	14.529196	20.396035	1982-1999 –> 2000-2009	7.3714387	3.5703278	26009.6167	28.559162	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2511	3.8687574	13934.3408	16.101407	20.586327	1982-1999 –> 2000-2009	7.5835615	3.7148041	26277.2686	30.883241	2	5
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2511	4.2996840	14462.7049	14.412985	18.804011	1982-1999 –> 2000-2009	8.0045168	3.7048328	26791.5000	28.269699	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2511	4.1961872	14342.3427	173.341241	19.502193	1982-1999 –> 2000-2009	8.0209603	3.8247731	26816.9584	562.169296	3	7
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2511	4.4348527	14618.1502	15.754767	18.872893	1982-1999 –> 2000-2009	8.2836958	3.8488432	27119.0844	30.017203	7	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2511	4.4991718	14690.4616	171.962437	19.075628	1982-1999 –> 2000-2009	8.4183382	3.9191664	27273.1279	549.605848	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2511	4.3666245	14540.2885	11.373392	18.033559	1982-1999 –> 2000-2009	8.4748833	4.1082588	27335.6559	18.165059	5	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2511	4.4204608	14601.8263	11.121948	17.552550	1982-1999 –> 2000-2009	8.4782848	4.0578241	27341.4349	17.786025	6	13
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2511	4.7531697	14966.2617	52.770049	17.217123	1982-1999 –> 2000-2009	9.0103092	4.2571395	27922.3191	155.604439	9	18
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2511	4.9677124	15185.9717	9.260105	16.381829	1982-1999 –> 2000-2009	9.2399139	4.2722014	28155.9717	14.297893	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2929	3.3807201	15461.7058	13.666648	18.568837	2000-2009 –> 2010-2019	7.1818311	3.8011109	29307.4584	28.195844	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2929	3.4787147	15629.0931	13.856752	19.492059	2000-2009 –> 2010-2019	7.3474721	3.8687574	29563.4339	29.958159	2	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2929	3.7509596	16070.4865	165.448588	40.920939	2000-2009 –> 2010-2019	7.9471468	4.1961872	30412.8292	338.789829	3	6
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2929	4.0858062	16569.3885	10.667781	16.500287	2000-2009 –> 2010-2019	8.3854902	4.2996840	31032.0935	25.080766	6	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2929	4.0595570	16531.6325	13.839288	19.204693	2000-2009 –> 2010-2019	8.4261815	4.3666245	31071.9210	25.212680	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2929	4.0092529	16458.5895	13.654045	17.796185	2000-2009 –> 2010-2019	8.4297136	4.4204608	31060.4158	24.775993	4	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2929	4.2421407	16789.3503	10.985612	17.187699	2000-2009 –> 2010-2019	8.6769933	4.4348527	31407.5005	26.740379	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2929	4.2454508	16793.9196	165.269726	39.788828	2000-2009 –> 2010-2019	8.7446226	4.4991718	31484.3812	337.232164	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2929	4.2447786	16792.9920	77.841255	31.989529	2000-2009 –> 2010-2019	8.9979483	4.7531697	31759.2536	130.611305	8	17
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2929	5.0303090	17785.6320	10.265525	17.365981	2000-2009 –> 2010-2019	9.9980214	4.9677124	32971.6037	19.525630	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2243	3.9425887	12533.4214	38.130159	22.358717	1982-1999 –> 2000-2009	6.6097385	2.6671499	22516.8094	68.798356	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2243	4.0288174	12630.4776	38.113942	22.305145	1982-1999 –> 2000-2009	6.7889848	2.7601674	22756.2685	70.311487	2	5
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2243	4.3129808	12934.2271	37.562410	21.420312	1982-1999 –> 2000-2009	7.0677150	2.7547342	23049.8331	66.472504	6	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2243	4.2953838	12915.8867	654.919353	38.279820	1982-1999 –> 2000-2009	7.1507372	2.8553535	23180.5161	1601.376927	4	9
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2243	4.2679179	12887.1099	119.008884	25.302132	1982-1999 –> 2000-2009	7.2534218	2.9855039	23336.8951	290.848504	3	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2243	4.4228115	13047.0335	37.560095	21.736451	1982-1999 –> 2000-2009	7.2537604	2.8309489	23276.0063	67.170291	8	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2243	4.3013619	12922.1258	10.224900	25.214835	1982-1999 –> 2000-2009	7.2589688	2.9576069	23332.9129	17.808583	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2243	4.4082416	13032.2310	10.266338	25.268301	1982-1999 –> 2000-2009	7.4423967	3.0341551	23549.1634	17.829942	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2243	4.6443826	13264.3221	79.579095	24.029552	1982-1999 –> 2000-2009	7.7168725	3.0724899	23831.4090	158.457882	9	19
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2243	4.7323842	13348.5273	9.510687	24.009969	1982-1999 –> 2000-2009	7.7706295	3.0382454	23869.0558	15.155303	10	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2689	3.0069168	13565.7735	25.732520	16.244108	2000-2009 –> 2010-2019	6.9495054	3.9425887	26099.1949	63.862679	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2689	3.1345823	13789.3946	346.854923	19.599134	2000-2009 –> 2010-2019	7.1452108	4.0106285	26399.5734	1005.689117	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2689	3.1519007	13819.0258	25.645812	16.385640	2000-2009 –> 2010-2019	7.1807181	4.0288174	26449.5034	63.759754	3	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2689	3.3035263	14069.7102	74.632972	17.197631	2000-2009 –> 2010-2019	7.5714442	4.2679179	26956.8201	193.641856	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2689	3.3530453	14149.7267	11.144738	17.820666	2000-2009 –> 2010-2019	7.6544071	4.3013619	27071.8525	21.369638	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2689	3.5556985	14465.3216	11.152965	18.122415	2000-2009 –> 2010-2019	7.9639401	4.4082416	27497.5526	21.419302	6	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2689	3.8014921	14824.7985	334.659936	20.747858	2000-2009 –> 2010-2019	8.0968759	4.2953838	27740.6853	989.579288	7	12
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2689	3.9315728	15005.7462	23.157546	15.482365	2000-2009 –> 2010-2019	8.2445536	4.3129808	27939.9733	60.719956	8	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2689	4.1625764	15312.8012	23.322149	15.689268	2000-2009 –> 2010-2019	8.5853879	4.4228115	28359.8347	60.882244	9	18
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2689	4.3292408	15521.9306	63.340015	17.662177	2000-2009 –> 2010-2019	8.9736234	4.6443826	28786.2527	142.919110	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3336	3.6844038	18182.1712	37.910867	15.715508	1982-1999 –> 2000-2009	6.5396593	2.8552555	31015.4819	67.451806	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3336	3.6970611	18203.0529	37.385966	15.415222	1982-1999 –> 2000-2009	6.5736235	2.8765624	31072.9790	65.188584	2	4
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3336	3.7156694	18238.5506	37.918818	16.651427	1982-1999 –> 2000-2009	6.6227390	2.9070696	31165.2714	70.272116	3	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3336	3.7398077	18279.7541	37.420691	16.221629	1982-1999 –> 2000-2009	6.6794979	2.9396902	31262.4329	66.471739	4	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3336	3.9157374	18586.4624	12.539202	20.131175	1982-1999 –> 2000-2009	7.0305406	3.1148031	31869.6751	25.008829	5	10
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3336	3.9432406	18631.1610	10.050516	19.854696	1982-1999 –> 2000-2009	7.0822299	3.1389894	31952.5489	17.106381	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3336	3.9719930	18681.6339	12.644999	21.319185	1982-1999 –> 2000-2009	7.1943160	3.2223230	32141.1131	25.209107	9	16
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3336	3.9657068	18673.0662	546.232636	18.494367	1982-1999 –> 2000-2009	7.2186852	3.2529784	32183.7247	1117.787318	7	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3336	3.9658832	18671.3630	542.680323	18.466644	1982-1999 –> 2000-2009	7.2192923	3.2534091	32180.7091	1072.516259	8	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	3336	4.0154254	18752.1940	10.221731	20.944454	1982-1999 –> 2000-2009	7.2722185	3.2567931	32264.9398	17.343665	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3378	2.9486468	16905.9247	25.118068	16.244791	2000-2009 –> 2010-2019	6.6330506	3.6844038	35088.0960	63.028935	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3378	3.0453259	17123.8838	25.105694	16.449220	2000-2009 –> 2010-2019	6.7609953	3.7156694	35362.4344	63.024512	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3378	3.1010802	17246.4551	400.340026	16.342360	2000-2009 –> 2010-2019	7.0667870	3.9657068	35919.5213	946.572662	3	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3378	3.1619158	17375.7080	8.037228	18.923335	2000-2009 –> 2010-2019	7.0776532	3.9157374	35962.1704	20.576430	4	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3378	3.4415562	17948.2497	23.855781	16.195570	2000-2009 –> 2010-2019	7.1386174	3.6970611	36151.3026	61.241746	8	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3378	3.2793811	17622.1440	8.100357	19.303936	2000-2009 –> 2010-2019	7.2513741	3.9719930	36303.7779	20.745357	6	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3378	3.2052438	17467.6576	75.200751	18.163055	2000-2009 –> 2010-2019	7.2594316	4.0541878	36285.9500	180.317269	5	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3378	3.6010475	18254.3033	24.441596	16.381778	2000-2009 –> 2010-2019	7.3408552	3.7398077	36534.0574	61.862287	9	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3378	3.4246831	17915.0451	398.692644	15.993694	2000-2009 –> 2010-2019	7.3905662	3.9658832	36586.4080	941.372967	7	15
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3378	3.6641723	18369.7071	56.822162	19.262740	2000-2009 –> 2010-2019	7.7231651	4.0589928	37193.9024	127.225263	10	22
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4286	3.0967007	21866.3920	34.687795	8.706663	1982-1999 –> 2000-2009	5.5770079	2.4803072	35574.3484	71.160520	2	3
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	4286	3.1225260	21935.5827	20.719164	9.794178	1982-1999 –> 2000-2009	5.6790229	2.5564970	35819.5627	44.099194	3	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4286	3.2154637	22186.9934	31.904012	9.342038	1982-1999 –> 2000-2009	5.7206853	2.5052216	35951.7591	63.813657	4	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4286	3.2863771	22375.9848	38.507824	9.716492	1982-1999 –> 2000-2009	5.8310485	2.5446714	36234.6840	79.471066	7	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4286	3.2551604	22290.1718	14.917395	9.981338	1982-1999 –> 2000-2009	5.8422439	2.5870834	36242.1314	28.629448	6	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4286	3.0250039	21663.5939	200.997168	8.628086	1982-1999 –> 2000-2009	5.8641751	2.8391712	36164.6540	411.418801	1	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4286	3.2957613	22398.4270	20.921727	10.490268	1982-1999 –> 2000-2009	5.9166559	2.6208946	36428.7878	44.451667	8	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4286	3.3825115	22621.1386	33.369802	9.873410	1982-1999 –> 2000-2009	5.9434182	2.5609067	36515.2593	66.980099	9	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	4286	3.3996405	22662.4378	15.077590	10.685108	1982-1999 –> 2000-2009	6.0415860	2.6419455	36737.8697	29.203655	10	18
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	4286	3.2286036	22219.9512	131.441818	10.954660	1982-1999 –> 2000-2009	6.1428909	2.9142873	36872.6609	223.789271	5	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4475	2.6268608	21355.3160	158.785124	9.345944	2000-2009 –> 2010-2019	5.6518646	3.0250039	43018.9099	359.782292	1	2
Indo-Pacific	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	4475	2.6461183	21418.6893	98.245130	9.777325	2000-2009 –> 2010-2019	5.8747219	3.2286036	43638.6405	229.686948	2	7
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4475	2.7849934	21880.4973	20.189888	10.094226	2000-2009 –> 2010-2019	5.8816941	3.0967007	43746.8893	54.877683	3	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	4475	2.8386728	22049.3627	15.131252	9.629942	2000-2009 –> 2010-2019	5.9611988	3.1225260	43984.9454	35.850416	5	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	4475	2.7860709	21881.9591	19.075967	10.255451	2000-2009 –> 2010-2019	6.0015345	3.2154637	44068.9524	50.979979	4	8
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	4475	2.8395876	22050.2463	8.426920	9.772036	2000-2009 –> 2010-2019	6.0947480	3.2551604	44340.4180	23.344315	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4475	3.0080157	22569.9614	21.987439	11.068044	2000-2009 –> 2010-2019	6.2943928	3.2863771	44945.9462	60.495263	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4475	3.0410251	22665.6421	15.309467	10.632227	2000-2009 –> 2010-2019	6.3367864	3.2957613	45064.0691	36.231195	9	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4475	3.0082575	22568.6807	20.001269	10.986854	2000-2009 –> 2010-2019	6.3907689	3.3825115	45189.8194	53.371072	8	17
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	4475	3.0413436	22664.5794	8.474992	10.537965	2000-2009 –> 2010-2019	6.4409841	3.3996405	45327.0172	23.552581	10	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5523	2.9792771	27744.3000	945.934778	9.562625	1982-1999 –> 2000-2009	5.4894954	2.5102183	48103.6031	1758.499575	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5523	3.0102591	27860.5760	49.711696	8.728618	1982-1999 –> 2000-2009	5.5418509	2.5315918	48295.6255	87.269335	2	5
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	5523	3.0611125	28041.6213	335.118968	11.502742	1982-1999 –> 2000-2009	5.5748314	2.5137189	48411.0459	569.431160	4	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	5523	3.0901732	28147.9921	48.770195	9.875161	1982-1999 –> 2000-2009	5.6219340	2.5317608	48581.6223	86.274299	5	10
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5523	3.0579792	28034.3090	49.158760	8.664497	1982-1999 –> 2000-2009	5.6423405	2.5843614	48648.7996	86.208247	3	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	5523	3.1497674	28358.9870	21.156992	10.952044	1982-1999 –> 2000-2009	5.6813909	2.5316235	48792.1455	36.354644	6	10
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	5523	3.2020235	28538.7414	21.108512	11.715192	1982-1999 –> 2000-2009	5.7338218	2.5317983	48970.5005	35.918873	8	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5523	3.1742340	28444.4580	48.387388	10.039091	1982-1999 –> 2000-2009	5.7624502	2.5882162	49069.9129	85.412900	7	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5523	3.2212111	28606.7352	21.166585	11.088978	1982-1999 –> 2000-2009	5.8084638	2.5872528	49228.9519	36.327477	9	17
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	5523	3.3029198	28881.4315	21.133874	12.056657	1982-1999 –> 2000-2009	5.8938578	2.5909380	49514.0286	35.947475	10	20
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5808	2.8974200	28851.7310	818.059582	13.453198	2000-2009 –> 2010-2019	5.8766971	2.9792771	56596.0310	1763.994361	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5808	2.9994655	29255.8008	41.282922	13.438514	2000-2009 –> 2010-2019	6.0097247	3.0102591	57116.3767	90.994619	3	5
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ oxygen + aou + nitrate	5808	2.9722402	29145.8842	227.599181	15.519239	2000-2009 –> 2010-2019	6.0333527	3.0611125	57187.5055	562.718150	2	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	5808	3.0086662	29289.3775	41.199684	13.713253	2000-2009 –> 2010-2019	6.0988394	3.0901732	57437.3696	89.969879	4	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5808	3.0684989	29520.1155	40.998682	13.511745	2000-2009 –> 2010-2019	6.1264781	3.0579792	57554.4245	90.157442	5	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	5808	3.1053200	29656.6742	10.975522	16.072519	2000-2009 –> 2010-2019	6.2550874	3.1497674	58015.6612	32.132514	7	13
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5808	3.0873145	29589.1256	40.944972	13.899889	2000-2009 –> 2010-2019	6.2615486	3.1742340	58033.5837	89.332359	6	13
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	5808	3.1117037	29678.5293	10.969227	16.276206	2000-2009 –> 2010-2019	6.3137272	3.2020235	58217.2707	32.077739	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5808	3.1883456	29963.1670	10.965400	16.357815	2000-2009 –> 2010-2019	6.4095566	3.2212111	58569.9022	32.131986	9	18
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + oxygen + nitrate	5808	3.2033025	30015.5315	10.961554	16.673870	2000-2009 –> 2010-2019	6.5062222	3.3029198	58896.9630	32.095428	10	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6595	3.4932848	35228.4116	75.197296	10.185614	1982-1999 –> 2000-2009	6.1863718	2.6930871	58206.1539	135.102019	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6595	3.5205027	35330.7832	74.882049	10.542751	1982-1999 –> 2000-2009	6.2598846	2.7393819	58470.9564	138.303860	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6595	3.5952866	35606.0358	40.539094	11.261772	1982-1999 –> 2000-2009	6.2963986	2.7011120	58610.1337	75.844398	3	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6595	3.6226432	35706.0191	40.568844	11.207385	1982-1999 –> 2000-2009	6.3705699	2.7479267	58873.8723	77.856576	4	8
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	6595	3.9973971	37002.4359	589.037501	14.277532	1982-1999 –> 2000-2009	6.8577430	2.8603459	60550.4028	1033.036158	6	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6595	3.9961828	37000.4285	74.930362	12.428011	1982-1999 –> 2000-2009	6.9493793	2.9531965	60854.8368	134.674288	5	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6595	4.1053534	37353.9284	39.989336	14.422340	1982-1999 –> 2000-2009	7.0585631	2.9532097	61206.3792	75.117704	9	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6595	4.0618282	37215.3407	74.702583	12.464623	1982-1999 –> 2000-2009	7.0933583	3.0315301	61319.2379	137.886105	7	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	6595	4.1745435	37574.3755	40.086899	14.515051	1982-1999 –> 2000-2009	7.2060775	3.0315339	61676.2848	77.223498	10	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6595	4.0889002	37302.9600	39.796797	13.893029	1982-1999 –> 2000-2009	8.0378811	3.9489810	63926.4948	76.317911	8	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6438	3.4603627	34268.1767	59.315694	17.009687	2000-2009 –> 2010-2019	6.9536475	3.4932848	69496.5883	134.512990	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6438	3.4979363	34407.2343	59.272978	16.928528	2000-2009 –> 2010-2019	7.0184390	3.5205027	69738.0175	134.155027	4	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	6438	3.4738887	34316.4088	14.869213	17.950349	2000-2009 –> 2010-2019	7.0691753	3.5952866	69922.4446	55.408307	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6438	3.5128915	34460.1675	14.867098	17.921869	2000-2009 –> 2010-2019	7.1355348	3.6226432	70166.1866	55.435942	5	9
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ oxygen + aou + nitrate	6438	3.4931432	34385.5784	327.467838	19.066589	2000-2009 –> 2010-2019	7.4905402	3.9973971	71388.0143	916.505339	3	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6438	3.5728653	34678.1372	59.257101	18.370882	2000-2009 –> 2010-2019	7.5690480	3.9961828	71678.5657	134.187462	6	11
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + aou + nitrate	6438	3.5836982	34715.1182	14.726553	19.213120	2000-2009 –> 2010-2019	7.6890516	4.1053534	72069.0466	54.715890	7	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6438	3.6296655	34881.2257	59.241331	18.385210	2000-2009 –> 2010-2019	7.6914937	4.0618282	72096.5663	133.943915	8	15
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ temp + oxygen + nitrate	6438	3.6421656	34923.4927	14.737799	19.326913	2000-2009 –> 2010-2019	7.8167092	4.1745435	72497.8682	54.824699	9	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	6438	4.2211821	36825.1760	24.624836	16.054222	2000-2009 –> 2010-2019	8.3100823	4.0889002	74128.1360	64.421633	10	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2505	2.9503258	12543.2793	159.614811	15.455126	1982-1999 –> 2000-2009	5.5689907	2.6186648	21373.9740	316.037945	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2505	2.9565454	12551.8297	130.120261	15.129877	1982-1999 –> 2000-2009	5.5879801	2.6314347	21398.5332	256.652922	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2505	2.9837903	12599.7860	168.277988	15.490366	1982-1999 –> 2000-2009	5.6359402	2.6521499	21477.5184	346.735424	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2505	2.9910134	12609.8995	136.668255	15.135879	1982-1999 –> 2000-2009	5.6628443	2.6718309	21513.0021	279.359420	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2505	3.1335800	12843.1844	159.613388	17.140874	1982-1999 –> 2000-2009	5.9223087	2.7887287	21904.8136	304.880359	5	10
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2505	3.1402635	12851.8587	130.109231	16.797421	1982-1999 –> 2000-2009	5.9368535	2.7965900	21921.9090	247.271934	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2505	3.1781150	12913.8862	168.261412	17.224084	1982-1999 –> 2000-2009	5.9899459	2.8118309	22006.0569	334.331876	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	2505	3.1855816	12923.6428	136.635383	16.855340	1982-1999 –> 2000-2009	6.0107598	2.8251782	22031.3448	269.052770	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2505	3.4234236	13286.3939	128.581560	13.526826	1982-1999 –> 2000-2009	6.5863017	3.1628782	22814.0923	265.625469	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2505	3.4606649	13338.6004	113.292744	14.005010	1982-1999 –> 2000-2009	6.6464974	3.1858325	22891.0687	232.710238	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2492	2.5282473	11708.7806	144.081904	17.636923	2000-2009 –> 2010-2019	5.4785731	2.9503258	24252.0599	303.696714	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2492	2.5658821	11782.4245	151.784196	17.667033	2000-2009 –> 2010-2019	5.5496724	2.9837903	24382.2105	320.062184	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	2492	2.6734175	11985.0440	108.765789	16.358972	2000-2009 –> 2010-2019	5.6299629	2.9565454	24536.8737	238.886050	5	7
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2492	2.7162167	12064.2018	113.934159	16.352639	2000-2009 –> 2010-2019	5.7072302	2.9910134	24674.1014	250.602414	6	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2492	2.6177893	11880.2433	144.081802	18.869577	2000-2009 –> 2010-2019	5.7513693	3.1335800	24723.4278	303.695190	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2492	2.6669887	11973.0445	151.771175	18.982671	2000-2009 –> 2010-2019	5.8451037	3.1781150	24886.9306	320.032587	4	11
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + nitrate	2492	2.7746231	12168.2360	108.577285	17.632865	2000-2009 –> 2010-2019	5.9148866	3.1402635	25020.0948	238.686516	7	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	2492	2.8283858	12263.8851	113.657473	17.704421	2000-2009 –> 2010-2019	6.0139674	3.1855816	25187.5279	250.292856	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	2492	3.4779603	13296.2766	105.293809	16.341244	2000-2009 –> 2010-2019	6.9013839	3.4234236	26582.6705	233.875369	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	2492	3.5052538	13333.2361	92.103585	16.583145	2000-2009 –> 2010-2019	6.9659188	3.4606649	26671.8366	205.396329	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3007	2.4009349	13814.9076	272.027843	15.729844	1982-1999 –> 2000-2009	4.6019183	2.2009834	22964.9611	556.050454	1	2
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3007	2.4037816	13820.0339	256.252437	15.930512	1982-1999 –> 2000-2009	4.6062544	2.2024728	22970.8867	520.932185	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3007	2.4072808	13830.7822	303.710265	15.818575	1982-1999 –> 2000-2009	4.6323962	2.2251154	23025.9585	640.313089	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3007	2.4079882	13830.5493	283.735008	15.920955	1982-1999 –> 2000-2009	4.6384879	2.2304997	23033.7265	593.671505	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3007	2.5946968	14279.6628	269.738534	17.453034	1982-1999 –> 2000-2009	4.9057542	2.3110574	23629.6545	501.270250	5	10
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3007	2.5956884	14279.9609	253.370421	17.570477	1982-1999 –> 2000-2009	4.9081214	2.3124330	23630.4148	465.670923	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3007	2.6038327	14300.8011	301.008918	17.547871	1982-1999 –> 2000-2009	4.9361067	2.3322740	23688.6081	575.363707	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	3007	2.6038764	14298.9019	280.348163	17.573196	1982-1999 –> 2000-2009	4.9407795	2.3369031	23692.9140	528.944152	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3007	3.0553164	15262.4317	221.486273	12.170927	1982-1999 –> 2000-2009	5.9251860	2.8698696	25508.5544	474.254477	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3007	3.1467592	15437.7841	202.699438	12.801433	1982-1999 –> 2000-2009	6.0673599	2.9206007	25754.4160	447.952383	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3072	2.1639077	13474.6085	262.384026	17.842938	2000-2009 –> 2010-2019	4.5648426	2.4009349	27289.5162	534.411868	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3072	2.1646148	13476.6158	301.064693	17.935692	2000-2009 –> 2010-2019	4.5718956	2.4072808	27307.3980	604.774958	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3072	2.1787913	13514.7228	256.079013	17.405634	2000-2009 –> 2010-2019	4.5825729	2.4037816	27334.7567	512.331450	3	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3072	2.1905028	13547.6598	291.677369	17.346893	2000-2009 –> 2010-2019	4.5984910	2.4079882	27378.2090	575.412377	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3072	2.2661391	13756.2267	256.344427	19.305486	2000-2009 –> 2010-2019	4.8608358	2.5946968	28035.8895	526.082961	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3072	2.2699669	13766.5961	293.871277	19.414650	2000-2009 –> 2010-2019	4.8737996	2.6038327	28067.3971	594.880195	6	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + aou + nitrate	3072	2.3010635	13848.1923	246.890102	18.784075	2000-2009 –> 2010-2019	4.8967520	2.5956884	28128.1532	500.260523	7	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ temp + oxygen + nitrate	3072	2.3203875	13899.5732	280.405570	18.764809	2000-2009 –> 2010-2019	4.9242639	2.6038764	28198.4750	560.753732	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3072	3.2947588	16055.6520	239.240856	13.745492	2000-2009 –> 2010-2019	6.3500752	3.0553164	31318.0837	460.727129	9	18
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3072	3.3993083	16245.5845	198.544701	14.042043	2000-2009 –> 2010-2019	6.5460675	3.1467592	31683.3686	401.244140	11	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3323	1.7930299	13324.9104	412.225812	12.658100	1982-1999 –> 2000-2009	3.5132678	1.7202379	22977.2355	733.023957	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	3323	1.8055167	13369.0336	384.805672	13.166222	1982-1999 –> 2000-2009	3.5281317	1.7226150	23026.1443	669.682645	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3323	1.8123981	13396.3152	477.722994	12.599184	1982-1999 –> 2000-2009	3.5736641	1.7612660	23164.4647	858.391014	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3323	1.8220656	13429.6714	442.807170	13.057830	1982-1999 –> 2000-2009	3.5838744	1.7618088	23197.3351	776.212348	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	3323	1.9382840	13840.6087	411.093785	14.201142	1982-1999 –> 2000-2009	3.7659900	1.8277060	23788.7174	648.312984	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	3323	1.9383681	13838.8970	376.771013	14.167996	1982-1999 –> 2000-2009	3.7668378	1.8284697	23787.0585	570.901667	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3323	1.9724071	13956.5920	475.163002	14.158789	1982-1999 –> 2000-2009	3.8415057	1.8690986	24014.7481	754.096630	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	3323	1.9730680	13956.8186	430.129372	14.060246	1982-1999 –> 2000-2009	3.8422212	1.8691532	24013.1183	654.923964	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	3323	2.3774147	15197.7922	274.769954	10.121681	1982-1999 –> 2000-2009	4.9115641	2.5341494	26751.7785	525.033020	15	24
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + oxygen + aou	3323	2.3331502	15070.8853	927.043488	7.993349	1982-1999 –> 2000-2009	5.1509757	2.8178256	27144.2838	1730.179778	9	20
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4478	2.2032598	19796.6980	563.271275	9.870513	2000-2009 –> 2010-2019	3.9962896	1.7930299	33121.6085	975.497086	1	2
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	4478	2.2133905	19835.7841	541.923928	10.110950	2000-2009 –> 2010-2019	4.0189073	1.8055167	33204.8177	926.729601	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4478	2.2209334	19868.2527	662.816302	9.858963	2000-2009 –> 2010-2019	4.0333315	1.8123981	33264.5680	1140.539296	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4478	2.2286917	19897.4838	661.973450	10.079264	2000-2009 –> 2010-2019	4.0507573	1.8220656	33327.1552	1104.780619	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	4478	2.3390710	20330.4091	508.717355	10.347354	2000-2009 –> 2010-2019	4.2773551	1.9382840	34171.0177	919.811140	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	4478	2.3452096	20351.8822	505.726061	10.183628	2000-2009 –> 2010-2019	4.2835778	1.9383681	34190.7791	882.497075	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4478	2.3611015	20414.3663	615.820790	10.294928	2000-2009 –> 2010-2019	4.3335086	1.9724071	34370.9582	1090.983792	7	14
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	4478	2.3697337	20445.0496	609.655529	10.082027	2000-2009 –> 2010-2019	4.3428017	1.9730680	34401.8682	1039.784902	8	16
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + silicate	4478	2.4117789	20604.5589	108.494226	11.077215	2000-2009 –> 2010-2019	4.7643534	2.3525745	35732.5456	185.864912	9	18
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + temp + aou	4478	2.4305152	20671.8662	13.695235	12.181382	2000-2009 –> 2010-2019	4.7839043	2.3533891	35800.1537	21.631919	11	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1938	1.3626411	6713.1362	624.360897	6.674011	1982-1999 –> 2000-2009	2.4747986	1.1121575	11495.0376	1229.139288	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1938	1.3868686	6781.4454	703.586398	6.587980	1982-1999 –> 2000-2009	2.5237861	1.1369175	11632.1776	1406.016490	2	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1938	1.3912788	6791.7514	543.377074	6.848167	1982-1999 –> 2000-2009	2.5245014	1.1332225	11630.3076	923.705430	3	5
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1938	1.4168381	6862.3115	605.781208	6.748273	1982-1999 –> 2000-2009	2.5727011	1.1558630	11762.7060	1047.113824	4	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1938	1.4491347	6949.6722	427.530501	8.252865	1982-1999 –> 2000-2009	2.5912896	1.1421550	11812.7720	910.292098	5	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1938	1.4763790	7021.8662	481.498624	8.212606	1982-1999 –> 2000-2009	2.6410965	1.1647175	11946.1161	1038.032669	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	1938	1.4812440	7032.6174	358.895172	8.494202	1982-1999 –> 2000-2009	2.6496003	1.1683563	11964.6183	648.388735	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	1938	1.5108157	7109.2361	400.241711	8.451968	1982-1999 –> 2000-2009	2.6995141	1.1886983	12095.1948	734.023170	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	1938	1.8385856	7872.2765	503.963930	9.274497	1982-1999 –> 2000-2009	3.7333544	1.8947688	14317.6950	1026.206390	9	18
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	1938	1.8896748	7978.5106	114.507386	6.388135	1982-1999 –> 2000-2009	3.8043673	1.9146925	14456.6277	236.172928	11	21
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2534	1.6372795	9703.8871	644.241227	7.694056	2000-2009 –> 2010-2019	2.9999206	1.3626411	16417.0233	1268.602124	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2534	1.6511956	9746.7806	752.740883	7.931508	2000-2009 –> 2010-2019	3.0380642	1.3868686	16528.2260	1456.327280	2	4
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	2534	1.7145982	9935.7386	491.741726	7.753739	2000-2009 –> 2010-2019	3.1058770	1.3912788	16727.4900	1035.118800	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2534	1.7263905	9970.4749	571.680866	7.697365	2000-2009 –> 2010-2019	3.1432286	1.4168381	16832.7864	1177.462074	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	2534	1.7808397	10127.8471	552.706676	9.677626	2000-2009 –> 2010-2019	3.2299743	1.4491347	17077.5194	980.237177	5	10
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2534	1.7962368	10171.4766	645.478016	9.667846	2000-2009 –> 2010-2019	3.2726158	1.4763790	17193.3428	1126.976640	6	12
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + nitrate	2534	1.8579353	10340.6332	406.871444	10.041134	2000-2009 –> 2010-2019	3.3391792	1.4812440	17373.2505	765.766617	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + oxygen + nitrate	2534	1.8717511	10378.1801	472.846725	10.011103	2000-2009 –> 2010-2019	3.3825669	1.5108157	17487.4161	873.088436	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + silicate	2534	1.9734088	10648.2163	189.740948	10.091356	2000-2009 –> 2010-2019	3.8630836	1.8896748	18626.7269	304.248334	9	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	2534	2.0280158	10786.5498	581.589747	13.012231	2000-2009 –> 2010-2019	3.8666014	1.8385856	18658.8262	1085.553677	18	27
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4870	1.0778097	14564.2885	377.706514	4.853969	1982-1999 –> 2000-2009	2.0797987	1.0019890	25209.6538	752.016773	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4870	1.0950264	14718.6436	438.640171	4.888898	1982-1999 –> 2000-2009	2.1142888	1.0192624	25491.8929	893.045383	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	4870	1.3418979	16696.8491	365.384096	7.624674	1982-1999 –> 2000-2009	2.4757474	1.1338494	28265.2243	675.061662	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4870	1.3729000	16919.3134	419.592770	8.045688	1982-1999 –> 2000-2009	2.5288581	1.1559582	28632.1747	790.729959	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	4870	1.4301947	17317.5364	329.137332	7.825701	1982-1999 –> 2000-2009	2.6540932	1.2238985	29457.7072	693.560730	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4870	1.4437916	17409.6972	381.463040	7.796263	1982-1999 –> 2000-2009	2.6715559	1.2277644	29573.4638	822.003860	6	12
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	4870	1.4811719	17656.6608	265.178916	8.586690	1982-1999 –> 2000-2009	2.7183967	1.2372248	29875.8582	496.374011	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	4870	1.5062378	17820.1114	298.462786	9.154557	1982-1999 –> 2000-2009	2.7532346	1.2469968	30098.1722	569.354730	9	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	4870	1.4925768	17733.3707	144.021664	5.990524	1982-1999 –> 2000-2009	3.0552443	1.5626674	31701.7906	334.032100	8	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + aou + silicate	4870	1.5984398	18400.7944	972.796575	5.325310	1982-1999 –> 2000-2009	3.2780391	1.6795993	32909.1228	1857.507085	11	21
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5541	1.1703931	17482.3147	532.213654	9.670896	2000-2009 –> 2010-2019	2.2482028	1.0778097	32046.6033	909.920168	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5541	1.1923391	17688.1892	649.263732	10.000670	2000-2009 –> 2010-2019	2.2873655	1.0950264	32406.8328	1087.903903	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	5541	1.3703418	19228.1743	515.054369	10.362465	2000-2009 –> 2010-2019	2.7122398	1.3418979	35925.0234	880.438465	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5541	1.4030752	19489.7779	622.284733	10.645529	2000-2009 –> 2010-2019	2.7759752	1.3729000	36409.0913	1041.877503	6	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	5541	1.3793189	19300.5352	517.673845	10.737723	2000-2009 –> 2010-2019	2.8095136	1.4301947	36618.0716	846.811177	4	9
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5541	1.3955190	19429.9353	630.377784	11.098885	2000-2009 –> 2010-2019	2.8393106	1.4437916	36839.6325	1011.840824	5	11
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + aou + nitrate	5541	1.4105387	19546.5709	433.252725	10.728123	2000-2009 –> 2010-2019	2.8917106	1.4811719	37203.2317	698.431641	7	14
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ temp + oxygen + nitrate	5541	1.4366343	19749.7196	510.747355	11.032498	2000-2009 –> 2010-2019	2.9428721	1.5062378	37569.8309	809.210140	8	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	5541	1.6354647	21188.2114	276.969449	9.366963	2000-2009 –> 2010-2019	3.1280415	1.4925768	38921.5821	420.991114	9	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	5541	1.6682951	21408.4691	74.299926	8.266711	2000-2009 –> 2010-2019	3.2711801	1.6028850	39836.3124	121.109914	11	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	11082	0.6417217	21631.3900	134.084321	4.957359	1982-1999 –> 2000-2009	1.4304459	0.7887242	41493.9062	246.836737	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	11082	0.6489945	21881.1687	158.574304	4.944973	1982-1999 –> 2000-2009	1.4546534	0.8056589	42100.5382	301.319556	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	11082	0.6734503	22699.0133	84.210323	4.911576	1982-1999 –> 2000-2009	1.6524362	0.9789859	46189.5860	176.015532	3	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	11082	0.8007730	26537.0067	133.772434	9.799257	1982-1999 –> 2000-2009	1.6546624	0.8538893	47731.0299	234.549040	5	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	11082	0.8141529	26904.2772	157.782327	10.017362	1982-1999 –> 2000-2009	1.6856186	0.8714658	48440.5598	284.586159	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	11082	0.7340533	24608.8280	57.466755	4.813170	1982-1999 –> 2000-2009	1.8919514	1.1578981	50918.8519	120.013061	4	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	11082	0.8496597	27850.4092	632.242881	4.771210	1982-1999 –> 2000-2009	2.0829995	1.2333398	55220.7127	1067.566652	9	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + silicate	11082	0.8477327	27800.0843	9.146198	4.746683	1982-1999 –> 2000-2009	2.0869319	1.2391992	55250.0030	21.065709	7	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	11082	0.8483960	27817.4203	10.396415	4.743657	1982-1999 –> 2000-2009	2.0906508	1.2422548	55308.7076	25.266096	8	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + aou + silicate	11082	0.8559544	28012.0067	6.538280	4.981968	1982-1999 –> 2000-2009	2.1107014	1.2547470	55669.3721	14.844232	11	24
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	15069	0.8229657	36905.8591	147.199674	7.261181	2000-2009 –> 2010-2019	1.4646874	0.6417217	58537.2491	281.283995	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	15069	0.8308539	37193.3568	180.333047	7.288305	2000-2009 –> 2010-2019	1.4798484	0.6489945	59074.5255	338.907351	2	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	15069	0.8570495	38126.8922	123.525934	7.414064	2000-2009 –> 2010-2019	1.5304997	0.6734503	60825.9055	207.736257	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	15069	0.9276154	40511.4599	87.825763	7.189851	2000-2009 –> 2010-2019	1.6616687	0.7340533	65120.2879	145.292518	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	15069	0.9550320	41389.3067	136.958837	11.302532	2000-2009 –> 2010-2019	1.7558050	0.8007730	67926.3134	270.731271	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	15069	0.9676366	41784.4700	165.385798	11.547349	2000-2009 –> 2010-2019	1.7817895	0.8141529	68688.7472	323.168125	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + silicate	15069	1.0167209	43275.7358	10.711873	6.307975	2000-2009 –> 2010-2019	1.8644535	0.8477327	71075.8201	19.858071	8	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	15069	1.0159949	43254.2101	819.974861	6.276510	2000-2009 –> 2010-2019	1.8656546	0.8496597	71104.6193	1452.217742	7	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	15069	1.0179702	43312.7473	11.285355	6.315942	2000-2009 –> 2010-2019	1.8663662	0.8483960	71130.1677	21.681769	10	18
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + silicate	15069	1.0193500	43351.5695	8.393615	6.373226	2000-2009 –> 2010-2019	1.8710254	0.8516754	71252.4960	14.313675	11	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5277	1.2877665	17658.6821	378.333859	4.430247	1982-1999 –> 2000-2009	2.3235207	1.0357542	33056.7256	897.688564	4	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5277	1.2718735	17527.6193	79.011747	4.289554	1982-1999 –> 2000-2009	2.3285639	1.0566904	33137.3885	164.058578	1	5
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5277	1.3019968	17772.6679	362.184694	4.269271	1982-1999 –> 2000-2009	2.3442393	1.0422425	33234.7817	677.627286	17	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5277	1.2814281	17606.6075	136.841357	4.258617	1982-1999 –> 2000-2009	2.3494102	1.0679820	33328.8333	299.732457	2	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	5277	1.2864707	17646.0569	23.588410	3.999389	1982-1999 –> 2000-2009	2.3553654	1.0688948	33375.3210	41.775405	3	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	5277	1.3020295	17772.9337	377.821989	4.141310	1982-1999 –> 2000-2009	2.3565469	1.0545174	33358.9234	582.226598	18	21
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	5277	1.2889873	17666.6829	34.933575	4.127751	1982-1999 –> 2000-2009	2.3568694	1.0678821	33385.9186	81.821190	6	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	5277	1.2905557	17679.5167	32.071508	4.007317	1982-1999 –> 2000-2009	2.3661238	1.0755681	33474.6290	66.661316	8	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5277	1.2935995	17704.3795	61.083811	4.103073	1982-1999 –> 2000-2009	2.3773163	1.0837167	33579.3446	152.035425	9	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	5277	1.2884664	17662.4170	74.361851	4.488858	1982-1999 –> 2000-2009	2.4014373	1.1129709	33819.1946	90.209942	5	16
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6434	1.4329095	22901.6106	78.928824	7.232165	2000-2009 –> 2010-2019	2.7047830	1.2718735	40429.2299	157.940571	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6434	1.4330680	22903.0339	134.471944	7.311475	2000-2009 –> 2010-2019	2.7144961	1.2814281	40509.6414	271.313301	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6434	1.4354401	22924.3165	511.552242	7.253680	2000-2009 –> 2010-2019	2.7232066	1.2877665	40582.9986	889.886101	4	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6434	1.4354420	22922.3332	41.820110	7.256392	2000-2009 –> 2010-2019	2.7239084	1.2884664	40584.7501	116.181961	5	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	6434	1.4331014	22901.3336	18.180398	7.289601	2000-2009 –> 2010-2019	2.7424156	1.3093142	40733.1506	48.000605	3	31
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6434	1.4461316	23017.8051	61.954340	6.502236	2000-2009 –> 2010-2019	2.7429268	1.2967951	40748.2242	104.349074	8	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6434	1.4565148	23109.8672	23.445743	6.463194	2000-2009 –> 2010-2019	2.7429855	1.2864707	40755.9241	47.034152	14	17
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	6434	1.4357605	22925.1879	48.958689	7.248075	2000-2009 –> 2010-2019	2.7484087	1.3126482	40783.8451	121.776553	6	40
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6434	1.4484581	23038.4902	105.628930	6.544506	2000-2009 –> 2010-2019	2.7495023	1.3010442	40803.4340	178.437756	9	24
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	6434	1.4628616	23165.8173	34.847726	6.500701	2000-2009 –> 2010-2019	2.7534173	1.2905557	40845.3340	66.919234	19	27

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	3.9274138	825.0624
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	3.4498870	708.7964
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.5649191	4801.2364
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	9.5089861	4291.8434
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	7.7956445	7045.4204
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	8.4962270	6470.7284
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	8.0851645	12502.1732
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	9.8783716	12112.5162
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	5.9528593	14864.1975
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	6.8719631	15262.8179
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	7.4409365	25863.2341
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	8.6996970	27114.4252
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.3616174	40850.0039
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.7964476	41011.2933
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.2933357	10879.8180
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.9537540	12517.2875
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.3871724	13057.8809
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.0342871	14579.2481
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.0652681	22572.9591
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	7.0618553	21177.9481
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	0.9798132	3119.2124
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.2572595	4262.2607
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.0716252	5063.2374
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.2593925	6443.1986
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.8399260	15576.2317
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.9736454	17205.6718
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	2.3688611	23290.3252
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	2.5394178	29462.8112
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	14.1697401	25934.9816
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	13.1772692	41126.1168
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.2885903	27104.2937
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.4135421	31007.0891
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	7.2313225	23269.8870
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	7.8365667	27330.1243
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	6.9432802	31710.8876
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.1642496	36138.7620
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.8558734	36254.1717
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	6.0928694	44332.5607
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.6750437	48761.6236
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.1891234	57762.5088
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.8316227	60369.4752
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.4743721	71318.1434
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	5.9548422	21933.2313
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	5.9758068	25091.7734
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	5.0162365	23790.0095
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	5.0769596	28474.1247
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.9478032	24186.4884
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	4.2884787	34158.5472
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.8215009	12311.3253
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	3.3241112	17292.2608
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.6329257	29121.5061
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.7906412	36377.6212
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.8141051	49832.3267
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.7141798	66473.6132
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.3559393	33375.1060
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.7346050	40677.6532

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
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
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]	6	7	7	9	7	7
(26.5,26.75]	6	8	5	7	9	6
(26.75,27]	6	10	5	7	7	6
(27,27.25]	6	10	6	10	5	4
(27.25,27.5]	7	10	5	8	6	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]	7	10	6	9	6	4
(27.95,28.05]	8	10	6	5	6	6
(28.05,28.1]	8	10	6	6	5	6
(28.1,28.15]	8	10	6	5	6	6
(28.15,28.2]	7	10	6	7	7	6
(28.2, Inf]	7	10	6	6	9	4
total	96.00	132.00	82.00	107.00	92.00	76.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	7	6	9	8	6
(26,26.5]	6	7	6	7	10	7
(26.5,26.75]	7	8	6	7	10	5
(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]	7	10	7	6	6	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	92.00	128.00	85.00	110.00	98.00	73.00
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	6	5	5	7
(26.75,27]	6	10	6	6	5	8
(27,27.25]	6	10	6	4	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	7	10	7	6
total	87.00	130.00	76.00	84.00	81.00	107.00
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]	6	10	6	4	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	8	4	6	5	10
(28.05,28.1]	6	9	4	6	6	9
(28.1,28.2]	6	9	4	6	6	9
(28.2,28.3]	5	6	6	8	10	6
(28.3, Inf]	5	8	5	8	10	7
total	86.00	130.00	75.00	84.00	86.00	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
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
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