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: 8bbcdfc

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The results in this page were generated with repository version 8bbcdfc. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jquery-1.11.3/jquery.min.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/README
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_444444_256x240.png
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/index.html
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Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

These are the previous versions of the repository in which changes were made to the R Markdown (analysis/eMLR_model_fitting.Rmd) and HTML (docs/eMLR_model_fitting.html) files. If you’ve configured a remote Git repository (see ?wflow_git_remote), click on the hyperlinks in the table below to view the files as they were in that past version.

File	Version	Author	Date	Message
html	f945f95	Donghe-Zhu	2021-07-30	Build site.
html	a3006cd	Donghe-Zhu	2021-07-30	Build site.
html	a55ffdc	Donghe-Zhu	2021-07-30	Build site.
html	d5e4458	Donghe-Zhu	2021-07-30	Build site.
html	10a97ef	Donghe-Zhu	2021-07-30	Build site.
html	1c501fd	Donghe-Zhu	2021-07-30	Build site.
html	68bce3f	Donghe-Zhu	2021-07-30	Build site.
html	400c457	Donghe-Zhu	2021-07-29	Build site.
html	3ba7852	Donghe-Zhu	2021-07-29	Build site.
html	422d5fd	Donghe-Zhu	2021-07-29	Build site.
Rmd	0f6c901	Donghe-Zhu	2021-07-29	local rebuild
html	ec68363	Donghe-Zhu	2021-07-28	Build site.
html	d3018f6	Donghe-Zhu	2021-07-28	Build site.
html	b8ba2c4	Donghe-Zhu	2021-07-28	Build site.
Rmd	9627e07	Donghe-Zhu	2021-07-28	local rebuild
html	a4ddd84	Donghe-Zhu	2021-07-27	Build site.
html	7ef49ab	Donghe-Zhu	2021-07-27	Build site.
html	da818c0	Donghe-Zhu	2021-07-27	Build site.
html	8623898	Donghe-Zhu	2021-07-27	Build site.
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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.
html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
Rmd	573cc5d	Donghe-Zhu	2021-07-22	local rebuild
html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
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html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
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html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
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html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
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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.
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html	5e0bd64	Donghe-Zhu	2021-05-27	Build site.
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html	951e188	Donghe-Zhu	2021-05-27	Build site.
html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
html	cd5f759	Donghe-Zhu	2021-03-28	Build site.
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html	75dda4d	Donghe-Zhu	2021-03-27	Build site.
html	0b19f6e	Donghe-Zhu	2021-03-27	Build site.
html	e2704ca	Donghe-Zhu	2021-03-27	Build site.
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html	0c20513	Donghe-Zhu	2021-03-26	Build site.
html	d19654d	Donghe-Zhu	2021-03-26	Build site.
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html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
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html	1914a11	Donghe-Zhu	2021-03-24	Build site.
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html	8be810e	Donghe-Zhu	2021-03-23	Build site.
Rmd	85274db	Donghe-Zhu	2021-03-23	local rebuild
html	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
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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	a49df30	Donghe-Zhu	2021-03-11	Build site.
html	b3348a5	Donghe-Zhu	2021-03-11	Build site.
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html	1c24ff7	Donghe-Zhu	2021-03-10	Build site.
Rmd	dbd8ff8	Donghe-Zhu	2021-03-10	local rebuild
html	94ce5a8	Donghe-Zhu	2021-03-10	Build site.
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html	9d5a62c	Donghe-Zhu	2021-03-10	Build site.
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html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
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html	dba33c8	Donghe-Zhu	2021-03-09	Build site.
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html	13666ca	Donghe-Zhu	2021-03-01	Build site.
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html	c6e60fe	Donghe-Zhu	2021-03-01	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, aou, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	139	1.9027865	587.3077	336.358743	5.398369	1982-1999 –> 2000-2009	3.1934744	1.2906879	976.3092	373.816069	1	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	139	2.2397412	632.6331	397.725036	6.495031	1982-1999 –> 2000-2009	3.4441277	1.2043865	1006.1327	410.527925	3	4
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	139	2.2404932	632.7264	231.936656	6.118878	1982-1999 –> 2000-2009	3.4601712	1.2196780	1009.0521	253.497518	4	8
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	139	2.3509235	646.1016	330.827312	6.844416	1982-1999 –> 2000-2009	3.5632392	1.2123156	1021.0711	344.813704	9	11
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	139	2.3994062	649.7764	65.244884	7.916306	1982-1999 –> 2000-2009	3.6854535	1.2860473	1035.9711	69.248923	11	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	139	2.2502880	631.9391	50.052138	6.314484	1982-1999 –> 2000-2009	3.8395293	1.5892412	1065.5508	56.004964	6	16
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	139	2.8186163	694.5413	78.477245	10.304643	1982-1999 –> 2000-2009	4.1391397	1.3205234	1086.6619	88.748187	13	22
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	139	3.0487012	716.3559	190.992399	11.767665	1982-1999 –> 2000-2009	4.2663582	1.2176570	1090.3101	194.039792	16	19
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	139	3.1514792	725.5733	108.365178	12.280632	1982-1999 –> 2000-2009	4.3774437	1.2259646	1101.0506	112.055669	19	24
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	139	3.3031392	738.6397	54.891467	12.752165	1982-1999 –> 2000-2009	4.5407118	1.2375725	1116.2279	64.498069	20	26
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	95	2.8932505	485.4506	65.004209	7.438532	2000-2009 –> 2010-2019	4.7960370	1.9027865	1072.7583	401.362952	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	95	3.6194428	527.9991	48.470167	9.185810	2000-2009 –> 2010-2019	5.8599360	2.2404932	1160.7255	280.406823	3	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	95	3.9008308	542.2243	266.544853	10.182654	2000-2009 –> 2010-2019	6.1405720	2.2397412	1174.8574	664.269889	4	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate	95	3.9364283	541.9503	2.790229	10.386038	2000-2009 –> 2010-2019	6.1867163	2.2502880	1173.8894	52.842366	8	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	95	3.4148169	514.9419	4.854322	9.518598	2000-2009 –> 2010-2019	6.2334331	2.8186163	1209.4832	83.331568	2	15
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	95	3.9153976	542.9325	342.480893	10.190532	2000-2009 –> 2010-2019	6.2663211	2.3509235	1189.0341	673.308205	5	14
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	95	3.9309704	541.6867	3.799011	10.273498	2000-2009 –> 2010-2019	6.3303766	2.3994062	1191.4632	69.043895	7	18
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	95	4.2181400	555.0832	14.827280	11.221458	2000-2009 –> 2010-2019	6.4714665	2.2533265	1187.3974	71.314049	15	22
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	95	4.2324079	555.7248	23.339589	11.367384	2000-2009 –> 2010-2019	6.5844028	2.3519949	1199.9531	78.933635	16	26
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	95	3.9153986	540.9326	222.749241	10.190095	2000-2009 –> 2010-2019	6.7796680	2.8642693	1239.9406	471.864384	6	20
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	423	4.7023588	2524.0844	188.505437	11.052019	1982-1999 –> 2000-2009	8.7540248	4.0516660	6545.3752	498.797974	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	423	4.8500159	2550.2408	16.780314	11.189397	1982-1999 –> 2000-2009	8.9282898	4.0782739	6580.8395	29.933314	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	423	4.8968699	2558.3744	19.073079	11.295154	1982-1999 –> 2000-2009	8.9794603	4.0825904	6590.4775	29.352330	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	423	4.8997458	2558.8711	18.834062	11.315936	1982-1999 –> 2000-2009	8.9831249	4.0833790	6591.2488	29.221595	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	423	4.9162688	2559.7192	18.832589	11.516545	1982-1999 –> 2000-2009	9.0454086	4.1291398	6605.9441	29.111765	5	10
Atlantic	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	423	4.9999120	2573.9916	7.058622	10.537358	1982-1999 –> 2000-2009	9.7269848	4.7270728	6812.5235	14.777139	8	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	423	4.9985869	2573.7673	4.630562	10.508751	1982-1999 –> 2000-2009	9.7303927	4.7318058	6813.7224	9.085736	7	17
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	423	4.9911199	2572.5026	10.797990	10.651391	1982-1999 –> 2000-2009	9.7446499	4.7535300	6818.9712	23.503029	6	17
Atlantic	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	423	5.0025669	2574.4407	28.272623	11.122494	1982-1999 –> 2000-2009	9.8038189	4.8012520	6835.1140	108.365810	9	21
Atlantic	(26,26.5]	3	cstar_tref ~ temp + silicate + phosphate_star	423	5.0590304	2581.9359	3.910617	10.644619	1982-1999 –> 2000-2009	9.8959868	4.8369565	6851.1448	7.232287	10	23
Atlantic	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	434	3.2499159	2268.6887	275.630391	12.451469	2000-2009 –> 2010-2019	7.9522747	4.7023588	4792.7731	464.135829	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	434	3.2774890	2276.0220	14.204838	12.519469	2000-2009 –> 2010-2019	8.1275049	4.8500159	4826.2628	30.985151	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	434	3.2789796	2276.4167	9.030585	12.528455	2000-2009 –> 2010-2019	8.1758495	4.8968699	4834.7911	28.103663	3	6
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	434	3.2802794	2276.7607	8.327810	12.519088	2000-2009 –> 2010-2019	8.1800252	4.8997458	4835.6318	27.161872	4	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	434	3.3943589	2304.4344	7.647441	10.848301	2000-2009 –> 2010-2019	8.3106276	4.9162688	4864.1536	26.480031	7	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	434	3.3824414	2301.3815	7.984734	12.505318	2000-2009 –> 2010-2019	8.9749419	5.5925005	4970.1303	24.720886	6	17
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + silicate	434	3.3152067	2283.9540	7.846894	12.974474	2000-2009 –> 2010-2019	9.1620172	5.8468105	4990.3243	24.328654	5	19
Atlantic	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	434	4.1623170	2481.4691	6.036047	16.097920	2000-2009 –> 2010-2019	9.1622290	4.9999120	5055.4606	13.094669	12	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	434	4.1699238	2483.0539	5.592003	16.077386	2000-2009 –> 2010-2019	9.1685107	4.9985869	5056.8212	10.222565	13	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	434	4.1883961	2486.8906	12.154941	16.201815	2000-2009 –> 2010-2019	9.1795160	4.9911199	5059.3932	22.952931	14	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	780	3.0065951	3944.8050	56.823721	11.973606	1982-1999 –> 2000-2009	6.2585336	3.2519385	9674.8225	102.747957	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	780	3.0392215	3961.6423	57.603468	12.220255	1982-1999 –> 2000-2009	6.3202115	3.2809899	9711.2265	103.825940	2	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	780	3.0596186	3972.0769	56.598539	12.252291	1982-1999 –> 2000-2009	6.3492593	3.2896407	9727.4541	102.993082	3	8
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	780	3.0714665	3976.1061	14.650408	12.346656	1982-1999 –> 2000-2009	6.4175192	3.3460526	9766.8898	35.922772	4	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	780	3.1633229	4022.0760	14.522086	11.201747	1982-1999 –> 2000-2009	6.4446471	3.2813242	9769.8843	34.265163	6	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	780	3.1630588	4021.9458	3.697024	11.528178	1982-1999 –> 2000-2009	6.4823060	3.3192471	9795.0341	6.504281	5	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	780	3.1739260	4027.2962	5.124112	11.590476	1982-1999 –> 2000-2009	6.5037763	3.3298503	9807.4012	9.835261	7	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	780	3.3374706	4105.6767	35.655348	10.536531	1982-1999 –> 2000-2009	6.5737711	3.2363006	9823.0894	168.251286	8	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	780	3.4244666	4145.8194	3.652369	13.219442	1982-1999 –> 2000-2009	6.9992777	3.5748111	10082.0913	6.741475	9	18
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	780	3.5778055	4214.1535	5.055556	13.216037	1982-1999 –> 2000-2009	7.2333981	3.6555926	10199.5864	10.453578	10	20
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	701	4.2675296	4037.7030	994.637393	12.775561	2000-2009 –> 2010-2019	7.2874686	3.0199391	7989.4163	1346.887197	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	701	4.3013137	4048.7583	29.234485	13.612137	2000-2009 –> 2010-2019	7.3079088	3.0065951	7993.5633	86.058206	3	4
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	701	4.3317513	4058.6445	29.473908	14.023430	2000-2009 –> 2010-2019	7.3709729	3.0392215	8020.2868	87.077376	5	8
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	701	4.3375323	4060.5143	29.545281	14.067623	2000-2009 –> 2010-2019	7.3971509	3.0596186	8032.5912	86.143820	7	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	701	4.3029078	4047.2778	12.992876	13.542271	2000-2009 –> 2010-2019	7.4662307	3.1633229	8069.3539	27.514962	4	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	701	4.3346158	4057.5712	4.231430	13.922395	2000-2009 –> 2010-2019	7.4976746	3.1630588	8079.5170	7.928454	6	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	701	4.3405404	4059.4862	6.586898	13.961061	2000-2009 –> 2010-2019	7.5144664	3.1739260	8086.7825	11.711011	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	701	4.4634790	4098.6436	15.080405	13.532837	2000-2009 –> 2010-2019	7.5349456	3.0714665	8074.7498	29.730813	9	14
Atlantic	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	701	4.2677052	4035.7607	154.736012	12.816097	2000-2009 –> 2010-2019	7.6051758	3.3374706	8141.4374	190.391360	2	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	701	4.7009011	4171.3032	5.089073	13.653514	2000-2009 –> 2010-2019	8.1253677	3.4244666	8317.1227	8.741442	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1315	2.1900406	5807.5181	47.215442	13.105713	1982-1999 –> 2000-2009	3.8535913	1.6635507	13321.0213	83.961044	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1315	2.2204700	5843.8091	47.079456	13.370240	1982-1999 –> 2000-2009	3.9350584	1.7145884	13474.8631	83.879456	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1315	2.2454371	5873.2158	47.073947	13.440275	1982-1999 –> 2000-2009	3.9803073	1.7348702	13550.0146	83.874577	3	7
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1315	2.3307769	5969.3186	26.485079	15.095064	1982-1999 –> 2000-2009	4.1065978	1.7758209	13734.8719	58.504643	4	9
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1315	2.3364415	5975.7027	4.377563	15.183298	1982-1999 –> 2000-2009	4.1660192	1.8295777	13857.2650	10.375978	6	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1315	2.3512221	5992.2881	4.420756	15.192141	1982-1999 –> 2000-2009	4.2022747	1.8510526	13919.2438	10.468693	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1315	2.5199385	6174.5451	92.881425	23.648697	1982-1999 –> 2000-2009	4.2034809	1.6835424	13732.5175	257.622748	8	10
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1315	2.3315950	5970.2416	26.690653	11.326541	1982-1999 –> 2000-2009	4.3148955	1.9833006	14165.6383	59.486897	5	13
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1315	2.6493562	6306.2612	4.668100	11.144019	1982-1999 –> 2000-2009	5.1048897	2.4555335	15332.4904	11.244430	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1315	2.8232444	6473.4504	4.591972	12.858248	1982-1999 –> 2000-2009	5.4629295	2.6396851	15780.9873	11.085295	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1421	2.6816259	6850.0383	31.520999	15.727664	2000-2009 –> 2010-2019	4.8716665	2.1900406	12657.5564	78.736441	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1421	2.7163065	6886.5574	31.587070	15.847376	2000-2009 –> 2010-2019	4.9367766	2.2204700	12730.3664	78.666526	2	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1421	2.7293333	6900.1543	31.603025	15.873017	2000-2009 –> 2010-2019	4.9747704	2.2454371	12773.3702	78.676972	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate	1421	2.7704831	6940.6830	18.837049	15.377760	2000-2009 –> 2010-2019	5.1020780	2.3315950	12910.9246	45.527702	5	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1421	2.8276736	6998.7525	18.328951	16.290196	2000-2009 –> 2010-2019	5.1584505	2.3307769	12968.0711	44.814030	6	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1421	2.8679730	7038.9701	4.076535	16.418734	2000-2009 –> 2010-2019	5.2044145	2.3364415	13014.6729	8.454098	7	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1421	2.8829512	7053.7741	4.543805	16.444328	2000-2009 –> 2010-2019	5.2341733	2.3512221	13046.0621	8.964561	8	15
Atlantic	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	1421	2.7279144	6896.6765	147.918926	15.827519	2000-2009 –> 2010-2019	5.2478529	2.5199385	13071.2215	240.800352	3	11
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1421	2.9555785	7124.4828	4.154098	15.241970	2000-2009 –> 2010-2019	5.6049347	2.6493562	13430.7440	8.822198	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1421	3.0347036	7199.5666	4.580497	15.086492	2000-2009 –> 2010-2019	5.8579480	2.8232444	13673.0170	9.172469	10	20
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1983	2.3925939	9101.3618	68.826566	13.308974	1982-1999 –> 2000-2009	3.8516145	1.4590205	18415.1011	99.118694	2	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1983	2.3910019	9098.7219	68.699518	13.288703	1982-1999 –> 2000-2009	3.8561246	1.4651227	18434.0640	99.005934	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1983	2.4587393	9209.5171	73.111081	13.493600	1982-1999 –> 2000-2009	4.0064383	1.5476991	18828.6611	174.438026	4	7
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1983	2.4355164	9171.8801	516.675081	13.806537	1982-1999 –> 2000-2009	4.0529343	1.6174179	19019.0870	1082.259411	3	7
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1983	2.4632836	9214.8404	72.351242	13.201659	1982-1999 –> 2000-2009	4.1065311	1.6432475	19142.0533	169.501239	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1983	2.5649777	9375.2831	16.575254	15.322132	1982-1999 –> 2000-2009	4.8065381	2.2415604	20909.6324	33.470135	6	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1983	2.6469131	9499.9912	16.596356	15.685104	1982-1999 –> 2000-2009	5.1478188	2.5009057	21601.0126	34.488578	7	22
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1983	3.0118616	10012.2567	436.806911	12.625366	1982-1999 –> 2000-2009	5.1581294	2.1462677	21321.7511	918.333574	8	18
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1983	3.0186408	10021.1735	67.349069	12.559336	1982-1999 –> 2000-2009	5.1595051	2.1408643	21317.6202	95.580504	9	18
Atlantic	(27,27.25]	3	cstar_tref ~ sal + aou + phosphate	1983	3.0251190	10027.6756	11.738910	12.170029	1982-1999 –> 2000-2009	5.1897454	2.1646264	21379.2561	24.068650	10	21
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1930	2.3260377	8749.5845	59.656733	15.967554	2000-2009 –> 2010-2019	4.7186316	2.3925939	17850.9463	128.483298	1	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1930	2.3290450	8754.5719	59.730959	15.972297	2000-2009 –> 2010-2019	4.7200469	2.3910019	17853.2938	128.430477	2	3
Atlantic	(27,27.25]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	1930	2.3305870	8757.1266	562.026579	15.950517	2000-2009 –> 2010-2019	4.7661034	2.4355164	17929.0067	1078.701660	3	6
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1930	2.3394806	8771.8284	80.418673	15.912062	2000-2009 –> 2010-2019	4.7982199	2.4587393	17981.3455	153.529754	4	8
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate	1930	2.3474956	8783.0301	70.119662	15.830215	2000-2009 –> 2010-2019	4.8107792	2.4632836	17997.8705	142.470904	5	10
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	1930	2.4545956	8955.2362	18.074401	17.097524	2000-2009 –> 2010-2019	5.0195734	2.5649777	18330.5193	34.649656	6	12
Atlantic	(27,27.25]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	1930	2.5093745	9040.4322	18.364341	17.297600	2000-2009 –> 2010-2019	5.1562876	2.6469131	18540.4234	34.960697	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1930	2.7128567	9341.3913	58.506498	13.758524	2000-2009 –> 2010-2019	5.7527510	3.0398943	19390.3905	127.204560	8	19
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	1930	2.9404013	9652.2905	50.254813	14.653193	2000-2009 –> 2010-2019	5.9590421	3.0186408	19673.4640	117.603882	10	19
Atlantic	(27,27.25]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	1930	2.9652426	9684.7640	551.984815	14.146782	2000-2009 –> 2010-2019	5.9771043	3.0118616	19697.0207	988.791727	11	19
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3406	3.8721874	18902.0281	54.276228	16.355077	1982-1999 –> 2000-2009	6.1989455	2.3267582	38114.3098	88.896060	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3406	3.8740540	18905.3111	54.094649	16.292771	1982-1999 –> 2000-2009	6.2035827	2.3295287	38127.6867	88.581353	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3406	3.9743133	19079.3609	55.757774	14.904914	1982-1999 –> 2000-2009	6.3520358	2.3777225	38475.4234	149.970809	6	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3406	3.9623944	19056.9011	50.771891	15.782081	1982-1999 –> 2000-2009	6.3938095	2.4314152	38640.3697	83.633932	4	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3406	3.9663984	19063.7813	52.041317	15.647878	1982-1999 –> 2000-2009	6.3993086	2.4329102	38652.4636	85.029128	5	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3406	3.9303231	19001.5410	53.986854	17.393124	1982-1999 –> 2000-2009	6.4306406	2.5003175	38822.0328	88.460935	3	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3406	4.1010121	19291.1340	50.747812	16.024388	1982-1999 –> 2000-2009	6.5955821	2.4945699	39092.1053	83.488749	8	14
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3406	4.0711622	19243.3703	428.391237	15.663486	1982-1999 –> 2000-2009	6.6290375	2.5578754	39258.9060	1216.355272	7	19
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3406	4.1133044	19311.5216	23.395878	14.871493	1982-1999 –> 2000-2009	6.6614948	2.5481904	39292.8806	51.969651	10	20
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3406	4.1144075	19313.3481	19.887998	14.909764	1982-1999 –> 2000-2009	6.6690474	2.5546399	39316.1483	45.488313	11	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2964	3.7878704	16320.4015	43.992698	22.438562	2000-2009 –> 2010-2019	7.6619244	3.8740540	35225.7126	98.087347	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2964	3.7908733	16325.0992	44.027032	22.578822	2000-2009 –> 2010-2019	7.6630607	3.8721874	35227.1273	98.303261	3	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2964	3.7864018	16318.1027	43.627094	20.815905	2000-2009 –> 2010-2019	7.7607151	3.9743133	35397.4636	99.384868	1	7
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	2964	3.7973368	16335.1979	680.225739	20.848528	2000-2009 –> 2010-2019	7.8684990	4.0711622	35578.5682	1108.616976	4	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2964	3.9622180	16585.1615	43.902615	24.724220	2000-2009 –> 2010-2019	7.8925411	3.9303231	35586.7026	97.889469	8	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	2964	3.8069548	16348.1935	43.065007	21.762024	2000-2009 –> 2010-2019	7.9150501	4.1080953	35651.0828	98.581100	5	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2964	3.9570535	16577.4298	42.984798	21.387124	2000-2009 –> 2010-2019	7.9234519	3.9663984	35641.2111	95.026114	7	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2964	3.9626769	16585.8481	42.951032	21.597030	2000-2009 –> 2010-2019	7.9250712	3.9623944	35642.7492	93.722923	9	13
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	2964	3.9540928	16572.9927	42.757801	19.524329	2000-2009 –> 2010-2019	8.0551050	4.1010121	35864.1267	93.505613	6	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	2964	3.9632488	16586.7036	656.918849	19.642165	2000-2009 –> 2010-2019	8.1617548	4.1985059	36037.8850	1061.448846	10	24
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6996	2.2514275	31223.1980	20.979333	15.485039	1982-1999 –> 2000-2009	3.8223257	1.5708981	67040.2151	42.523481	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6996	2.2553187	31247.3600	20.492226	15.328492	1982-1999 –> 2000-2009	3.8261870	1.5708682	67064.0128	42.107341	2	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6996	2.3255118	31674.1985	18.907081	14.418198	1982-1999 –> 2000-2009	3.9799043	1.6543925	68480.4061	34.481157	3	8
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6996	2.3302325	31704.5727	31.815076	14.061885	1982-1999 –> 2000-2009	3.9806731	1.6504407	68467.0062	84.178912	5	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6996	2.3297813	31699.8634	19.148741	14.187725	1982-1999 –> 2000-2009	3.9844954	1.6547141	68509.7911	35.291101	4	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	6996	2.4291747	32284.4098	20.472858	17.974911	1982-1999 –> 2000-2009	4.0001074	1.5709326	68099.8469	38.599442	11	14
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6996	2.3418165	31773.9571	461.146583	14.218115	1982-1999 –> 2000-2009	4.1022637	1.7604473	69771.4104	1156.108611	6	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	6996	2.4046864	32142.6418	18.897973	14.724512	1982-1999 –> 2000-2009	4.1310387	1.7263522	69763.7691	34.231814	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	6996	2.4200429	32231.7112	409.830901	15.044012	1982-1999 –> 2000-2009	4.2560559	1.8360130	71031.5895	994.626407	9	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	6996	2.3423345	31775.0520	31.481793	14.089067	1982-1999 –> 2000-2009	4.3789397	2.0366052	72559.5168	82.699764	7	18
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5739	2.3907622	26304.9415	18.489587	24.048495	2000-2009 –> 2010-2019	4.6421897	2.2514275	57528.1395	39.468921	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5739	2.3922888	26312.2682	18.752101	23.881305	2000-2009 –> 2010-2019	4.6476075	2.2553187	57559.6282	39.244328	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5739	2.4381469	26530.2095	27.328503	21.822434	2000-2009 –> 2010-2019	4.7683794	2.3302325	58234.7821	59.143578	4	9
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	5739	2.4335567	26508.5799	577.945082	21.982022	2000-2009 –> 2010-2019	4.7753732	2.3418165	58282.5370	1039.091665	3	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	5739	2.4381864	26528.3956	27.314067	21.831390	2000-2009 –> 2010-2019	4.7805209	2.3423345	58303.4476	58.795860	5	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5739	2.5599978	27087.9700	18.488752	27.297307	2000-2009 –> 2010-2019	4.9891726	2.4291747	59372.3798	38.961611	6	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5739	2.6777309	27604.0595	17.720205	21.232358	2000-2009 –> 2010-2019	5.0032428	2.3255118	59278.2581	36.627286	9	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5739	2.6776593	27603.7524	18.394248	20.926526	2000-2009 –> 2010-2019	5.0074406	2.3297813	59303.6158	37.542988	8	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	5739	2.7116724	27748.6340	17.511104	18.632951	2000-2009 –> 2010-2019	5.1163588	2.4046864	59891.2758	36.409077	12	20
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	5739	2.7086283	27735.7415	548.395100	18.761791	2000-2009 –> 2010-2019	5.1286711	2.4200429	59967.4527	958.226001	10	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2607	1.1529054	8154.2207	28.502648	13.419580	1982-1999 –> 2000-2009	1.8800674	0.7271619	15784.7218	75.432827	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2607	1.1960959	8345.9793	26.756835	13.485433	1982-1999 –> 2000-2009	1.9626238	0.7665279	16341.4213	59.313939	3	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2607	1.1994767	8360.6961	23.517929	13.499773	1982-1999 –> 2000-2009	1.9667453	0.7672686	16362.8238	50.029377	4	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2607	1.1690813	8224.8672	27.315827	13.315972	1982-1999 –> 2000-2009	1.9991419	0.8300607	16769.4924	70.932204	2	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2607	1.2830644	8709.9415	21.310671	13.998467	1982-1999 –> 2000-2009	2.0642007	0.7811363	16834.0612	47.742436	5	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2607	1.4766670	9442.6978	21.904268	12.295013	1982-1999 –> 2000-2009	2.3868726	0.9102055	18625.3350	41.384376	8	14
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2607	1.5389312	9658.0392	25.033994	12.311140	1982-1999 –> 2000-2009	2.5030293	0.9640981	19238.8477	46.869925	10	17
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	2607	1.4890689	9484.3051	3.486114	12.192997	1982-1999 –> 2000-2009	2.5101003	1.0210313	19460.2667	8.199012	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2607	1.5474783	9686.9171	23.192384	12.321765	1982-1999 –> 2000-2009	2.5136449	0.9661666	19282.5612	43.709394	11	19
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2607	1.4089230	9197.8380	20.288563	13.154580	1982-1999 –> 2000-2009	2.6541533	1.2452303	20549.8671	44.226499	6	19
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2181	1.2548516	7193.6596	26.711129	5.376610	2000-2009 –> 2010-2019	2.4077571	1.1529054	15347.8803	55.213776	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2181	1.3310711	7448.8718	18.867078	5.688339	2000-2009 –> 2010-2019	2.5001524	1.1690813	15673.7391	46.182905	4	6
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2181	1.3045303	7363.0171	30.967237	5.512252	2000-2009 –> 2010-2019	2.5006262	1.1960959	15708.9964	57.724072	2	5
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2181	1.3075924	7373.2442	29.560934	5.513765	2000-2009 –> 2010-2019	2.5070692	1.1994767	15733.9403	53.078862	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2181	1.3581190	7536.6208	28.372935	5.622233	2000-2009 –> 2010-2019	2.6411833	1.2830644	16246.5623	49.683606	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2181	1.6331022	8340.8899	17.861295	7.308196	2000-2009 –> 2010-2019	3.0420252	1.4089230	17538.7278	38.149858	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2181	1.6731701	8446.6190	16.065169	7.458609	2000-2009 –> 2010-2019	3.1250523	1.4518821	17801.0604	36.057164	7	14
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + silicate + phosphate_star	2181	1.7735523	8698.7682	13.297162	7.266091	2000-2009 –> 2010-2019	3.4039682	1.6304160	18655.9002	30.208422	8	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2181	1.8912875	8981.1286	305.567297	7.420527	2000-2009 –> 2010-2019	3.6648047	1.7735171	19378.9117	518.118722	9	23
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2181	2.2218232	9683.7171	25.841717	8.677465	2000-2009 –> 2010-2019	3.6984902	1.4766670	19126.4149	47.745985	14	22
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2606	2.1564785	11414.8075	26.096393	25.539208	1982-1999 –> 2000-2009	2.7637303	0.6072518	17981.9503	71.086141	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2606	2.1835488	11479.8265	58.160765	25.659873	1982-1999 –> 2000-2009	2.8354806	0.6519318	18552.6061	107.601739	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2606	2.1868715	11487.7516	22.919384	25.683927	1982-1999 –> 2000-2009	2.8394072	0.6525357	18567.1254	48.181209	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2606	2.2252125	11576.3385	22.599585	25.916498	1982-1999 –> 2000-2009	2.8809364	0.6557239	18688.4242	46.820007	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2606	2.2473773	11627.9970	19.971376	25.334290	1982-1999 –> 2000-2009	3.0095127	0.7621354	19811.1211	34.186503	6	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2606	2.2112417	11543.5123	23.390414	25.066786	1982-1999 –> 2000-2009	3.0203316	0.8090899	20152.4307	62.686331	4	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2606	2.2916076	11729.5774	57.902926	25.434614	1982-1999 –> 2000-2009	3.1227395	0.8311319	20529.9239	96.870474	7	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2606	2.3016978	11752.4759	22.340928	25.469163	1982-1999 –> 2000-2009	3.1353839	0.8336862	20574.6767	38.084537	9	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	2606	2.2969727	11739.7653	5.363685	24.879105	1982-1999 –> 2000-2009	3.2495797	0.9526070	21509.6525	13.032463	8	18
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + temp + phosphate_star	2606	2.4855013	12150.9001	14.635968	25.919282	1982-1999 –> 2000-2009	3.3443846	0.8588833	21183.1658	25.356548	11	20
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2157	1.1345550	6679.9024	23.161223	8.955491	2000-2009 –> 2010-2019	3.2910335	2.1564785	18094.7099	49.257616	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2157	1.1774300	6839.9240	57.074700	9.113917	2000-2009 –> 2010-2019	3.3609787	2.1835488	18319.7505	115.235464	2	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2157	1.1800296	6849.4384	25.999039	9.112031	2000-2009 –> 2010-2019	3.3669011	2.1868715	18337.1900	48.918423	3	6
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2157	1.2026034	6929.1850	22.940151	8.929330	2000-2009 –> 2010-2019	3.4278159	2.2252125	18505.5235	45.539736	4	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	2157	1.3326554	7372.1673	20.910709	8.481540	2000-2009 –> 2010-2019	3.5438971	2.2112417	18915.6795	44.301123	5	9
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	2157	1.8772753	8850.3505	23.086685	8.849695	2000-2009 –> 2010-2019	4.1246526	2.2473773	20478.3475	43.058060	8	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	2157	1.7493154	8545.7955	31.723030	13.277658	2000-2009 –> 2010-2019	4.1675322	2.4182168	20555.6576	60.456745	6	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2157	1.9456752	9004.7383	56.806309	9.028264	2000-2009 –> 2010-2019	4.2372828	2.2916076	20734.3157	114.709235	9	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2157	1.9662403	9050.0966	25.463384	9.040856	2000-2009 –> 2010-2019	4.2679381	2.3016978	20802.5725	47.804312	10	19
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + phosphate	2157	2.0348799	9196.1252	7.191107	8.858940	2000-2009 –> 2010-2019	4.3318526	2.2969727	20935.8905	12.554792	13	21
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2871	3.4632310	15292.2687	454.609451	40.458112	1982-1999 –> 2000-2009	5.8326000	2.3693691	35313.5695	901.730539	1	10
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	2871	3.5129297	15372.0830	439.204258	46.649271	1982-1999 –> 2000-2009	5.8857354	2.3728057	35404.0949	852.099383	2	12
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2871	3.7406262	15736.6959	31.103019	46.946881	1982-1999 –> 2000-2009	6.0375060	2.2968799	35487.4945	67.371216	3	4
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2871	3.8166578	15850.2370	26.280682	53.042838	1982-1999 –> 2000-2009	6.1453518	2.3286940	35719.6755	48.248742	5	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	2871	3.7411270	15735.4646	26.907438	47.687652	1982-1999 –> 2000-2009	6.1542925	2.4131655	35917.3938	54.322787	4	15
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2871	3.8858070	15955.3379	131.009056	50.080957	1982-1999 –> 2000-2009	6.1932502	2.3074432	35746.3772	222.940877	7	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2871	3.9230694	16010.1376	35.524713	52.429228	1982-1999 –> 2000-2009	6.2293163	2.3062469	35796.6288	61.810944	9	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	2871	3.8262006	15862.5758	14.459073	57.022260	1982-1999 –> 2000-2009	6.2555724	2.4293718	36101.2055	29.866009	6	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2871	3.9686418	16074.4552	22.201587	55.742800	1982-1999 –> 2000-2009	6.3083773	2.3397356	35985.3786	39.015837	11	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2871	3.9747103	16083.2286	125.554071	57.111575	1982-1999 –> 2000-2009	6.3315344	2.3568242	36057.9724	216.868170	12	19
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2499	2.5276990	11740.5472	31.940454	19.615194	2000-2009 –> 2010-2019	6.2683252	3.7406262	27477.2431	63.043474	1	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2499	2.5349729	11754.9092	144.304990	19.518941	2000-2009 –> 2010-2019	6.4207799	3.8858070	27710.2470	275.314046	3	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2499	2.9796607	12560.7183	844.757644	21.601005	2000-2009 –> 2010-2019	6.4428916	3.4632310	27852.9870	1299.367095	9	10
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2499	2.5337243	11752.4468	33.355926	19.521335	2000-2009 –> 2010-2019	6.4567937	3.9230694	27762.5844	68.880639	2	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ aou + phosphate + phosphate_star	2499	3.0051598	12601.3078	757.538736	21.635847	2000-2009 –> 2010-2019	6.5180895	3.5129297	27973.3908	1196.742994	11	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	2499	2.7049709	12077.3205	26.633453	20.120554	2000-2009 –> 2010-2019	6.5216287	3.8166578	27927.5574	52.914134	5	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2499	2.5857634	11852.0586	24.393538	20.448011	2000-2009 –> 2010-2019	6.5544051	3.9686418	27926.5137	46.595125	4	15
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2499	2.7449228	12150.6000	132.207776	20.152070	2000-2009 –> 2010-2019	6.7196330	3.9747103	28233.8286	257.761847	6	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2499	2.7465867	12153.6288	32.563849	20.103192	2000-2009 –> 2010-2019	6.7352157	3.9886290	28256.9298	65.065264	7	21
Atlantic	(27.95,28.05]	3	cstar_tref ~ sal + temp + phosphate_star	2499	2.7516175	12160.7750	14.113407	19.796449	2000-2009 –> 2010-2019	6.7468335	3.9952160	28271.5507	26.055940	8	23
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1599	0.5990772	2913.2229	59.974191	4.690456	1982-1999 –> 2000-2009	0.9761289	0.3770517	5110.4522	126.997956	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1599	0.5992995	2912.4091	52.767988	4.704781	1982-1999 –> 2000-2009	0.9817366	0.3824371	5177.4420	119.791451	2	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1599	0.6352258	3100.5937	244.388229	4.909529	1982-1999 –> 2000-2009	1.0408259	0.4056001	5657.0580	557.005453	3	6
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1599	0.6401217	3125.1475	54.960798	4.966596	1982-1999 –> 2000-2009	1.0463128	0.4061911	5688.7774	118.291628	5	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1599	0.6368102	3106.5606	220.267329	4.943931	1982-1999 –> 2000-2009	1.0571205	0.4203103	5836.3728	470.896289	4	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1599	0.6425899	3135.4547	54.422008	5.015961	1982-1999 –> 2000-2009	1.0652874	0.4226975	5893.1433	111.145374	6	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1599	0.7012784	3414.9542	38.146283	5.630587	1982-1999 –> 2000-2009	1.1089883	0.4077099	5994.9541	66.656996	7	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ sal + temp + phosphate_star	1599	0.7587781	3664.9706	30.216899	6.352732	1982-1999 –> 2000-2009	1.2025636	0.4437855	6660.2843	53.054186	14	22
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1599	0.7055356	3434.3094	58.948140	4.071083	1982-1999 –> 2000-2009	1.2095746	0.5040389	7058.2538	120.153175	8	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1599	0.7065714	3437.0007	52.371693	4.027819	1982-1999 –> 2000-2009	1.2109573	0.5043859	7062.3322	113.478702	9	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	1351	0.6402186	2643.0267	116.185379	2.767040	2000-2009 –> 2010-2019	1.2392958	0.5990772	5556.2497	176.159570	1	2
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	1351	0.6890675	2839.7038	115.422209	3.353955	2000-2009 –> 2010-2019	1.2883670	0.5992995	5752.1129	168.190197	5	7
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	1351	0.6717224	2772.8187	470.934886	2.906207	2000-2009 –> 2010-2019	1.3069482	0.6352258	5873.4124	715.323115	2	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	1351	0.6731207	2778.4376	86.688925	2.897075	2000-2009 –> 2010-2019	1.3132424	0.6401217	5903.5850	141.649723	3	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	1351	0.7317518	3002.0998	350.551296	3.557892	2000-2009 –> 2010-2019	1.3685620	0.6368102	6108.6604	570.818625	6	10
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	1351	0.6777809	2795.0796	52.794872	2.846660	2000-2009 –> 2010-2019	1.3790593	0.7012784	6210.0339	90.941155	4	11
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	1351	0.7390402	3028.8791	85.867225	3.597551	2000-2009 –> 2010-2019	1.3816301	0.6425899	6164.3338	140.289233	7	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	1351	0.8075262	3268.3390	104.793338	2.610698	2000-2009 –> 2010-2019	1.5130618	0.7055356	6702.6484	163.741477	8	16
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1351	0.8086319	3270.0362	104.325911	2.725753	2000-2009 –> 2010-2019	1.5152033	0.7065714	6707.0369	156.697604	9	18
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1351	0.8405330	3376.5829	427.885195	2.738655	2000-2009 –> 2010-2019	1.5838566	0.7433237	6977.7456	656.765431	11	21
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2609	0.5332075	4136.7096	115.977278	4.065442	1982-1999 –> 2000-2009	0.9505663	0.4173589	7695.1432	204.984711	1	2
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2609	0.5546333	4342.2814	267.709857	4.268082	1982-1999 –> 2000-2009	0.9956256	0.4409923	8258.8513	555.388139	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2609	0.5473553	4271.3565	92.939544	4.564201	1982-1999 –> 2000-2009	0.9988889	0.4515336	8339.5187	179.419044	2	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2609	0.5577005	4371.0578	73.989555	4.369827	1982-1999 –> 2000-2009	1.0016373	0.4439368	8330.8975	130.256819	4	7
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2609	0.5653700	4440.3268	240.471855	4.731864	1982-1999 –> 2000-2009	1.0311231	0.4657531	8710.0891	466.073320	5	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2609	0.5671756	4456.9644	59.621555	4.788678	1982-1999 –> 2000-2009	1.0338111	0.4666355	8739.0343	114.452719	6	13
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	2609	0.5805845	4578.8911	104.345498	3.683545	1982-1999 –> 2000-2009	1.0371582	0.4565736	8719.2273	191.559510	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2609	0.5830823	4599.2920	88.947206	3.685560	1982-1999 –> 2000-2009	1.0594278	0.4763454	9013.2687	174.381591	8	16
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2609	0.6103705	4839.9518	71.936582	6.526201	1982-1999 –> 2000-2009	1.0968618	0.4864913	9392.9632	118.431363	11	20
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2609	0.6092371	4830.2534	263.717171	3.820093	1982-1999 –> 2000-2009	1.0985497	0.4893126	9420.8625	537.234831	9	20
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2047	0.6113690	3808.6627	159.411194	3.515677	2000-2009 –> 2010-2019	1.1445764	0.5332075	7945.3723	275.388473	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate	2047	0.6117736	3809.3714	158.113323	3.551812	2000-2009 –> 2010-2019	1.1591289	0.5473553	8080.7279	251.052867	2	4
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2047	0.6340038	3957.4969	432.958430	3.592492	2000-2009 –> 2010-2019	1.1886371	0.5546333	8299.7783	700.668287	3	6
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2047	0.6363655	3972.7192	99.278901	3.623178	2000-2009 –> 2010-2019	1.1940660	0.5577005	8343.7770	173.268456	5	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2047	0.6340112	3955.5449	361.904625	3.587250	2000-2009 –> 2010-2019	1.1993812	0.5653700	8395.8717	602.376479	4	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2047	0.6364834	3971.4777	98.698820	3.603027	2000-2009 –> 2010-2019	1.2036590	0.5671756	8428.4421	158.320375	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2047	0.6572098	4102.6696	66.756186	3.983828	2000-2009 –> 2010-2019	1.2675803	0.6103705	8942.6214	138.692768	7	18
Atlantic	(28.1,28.15]	3	cstar_tref ~ sal + temp + phosphate_star	2047	0.6770770	4222.5958	40.866384	3.988804	2000-2009 –> 2010-2019	1.2961520	0.6190751	9134.4362	76.798853	8	22
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate	2047	0.7197329	4474.7195	142.437366	3.988122	2000-2009 –> 2010-2019	1.3003174	0.5805845	9053.6107	246.782863	9	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2047	0.7197807	4472.9915	141.460189	3.981192	2000-2009 –> 2010-2019	1.3028630	0.5830823	9072.2835	230.407395	10	18
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4360	0.7630096	10028.5173	203.289079	8.536349	1982-1999 –> 2000-2009	1.4434856	0.6804761	22528.8107	406.447736	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	4360	0.7761323	10175.2140	90.671688	9.558761	1982-1999 –> 2000-2009	1.4694997	0.6933675	22900.1426	185.244126	2	4
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4360	0.7779046	10197.1042	221.483016	8.621166	1982-1999 –> 2000-2009	1.4751371	0.6972325	22991.1616	421.877325	3	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4360	0.7810992	10232.8412	114.372626	8.570082	1982-1999 –> 2000-2009	1.4803154	0.6992162	23061.2072	226.927831	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4360	0.7894180	10323.2188	201.148379	9.569571	1982-1999 –> 2000-2009	1.4972900	0.7078720	23298.1594	397.626955	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4360	0.7911518	10342.3498	51.534822	9.473034	1982-1999 –> 2000-2009	1.4997362	0.7085844	23329.4373	104.608578	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4360	0.8161625	10613.7470	111.521336	8.554342	1982-1999 –> 2000-2009	1.5294299	0.7132675	23680.3826	222.427331	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	4360	0.8191852	10643.9826	24.029775	9.111551	1982-1999 –> 2000-2009	1.5326956	0.7135105	23712.7316	45.737707	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	4360	0.8470551	10937.7154	159.025530	6.154594	1982-1999 –> 2000-2009	1.6707566	0.8237015	25742.7117	321.651212	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4360	0.8572717	11042.2611	197.847747	6.255244	1982-1999 –> 2000-2009	1.6891217	0.8318500	25966.1330	388.327100	10	20
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3862	0.8035487	9284.5076	255.099786	3.385284	2000-2009 –> 2010-2019	1.5665583	0.7630096	19313.0249	458.388865	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3862	0.8195991	9437.2692	310.703025	3.374780	2000-2009 –> 2010-2019	1.5975037	0.7779046	19634.3734	532.186041	2	5
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	3862	0.8256902	9492.4598	132.827150	3.203983	2000-2009 –> 2010-2019	1.6018224	0.7761323	19667.6738	223.498837	4	6
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3862	0.8228507	9467.8517	134.641528	3.412317	2000-2009 –> 2010-2019	1.6039499	0.7810992	19700.6928	249.014155	3	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3862	0.8394130	9619.7761	307.042847	3.205258	2000-2009 –> 2010-2019	1.6288310	0.7894180	19942.9949	508.191225	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3862	0.8409334	9633.7540	70.776097	3.242625	2000-2009 –> 2010-2019	1.6320852	0.7911518	19976.1037	122.310919	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3862	0.8453823	9674.5093	129.483913	3.813311	2000-2009 –> 2010-2019	1.6615448	0.8161625	20288.2563	241.005249	7	14
Atlantic	(28.15,28.2]	3	cstar_tref ~ sal + temp + phosphate_star	3862	0.8494097	9709.2188	16.201912	3.609612	2000-2009 –> 2010-2019	1.6685948	0.8191852	20353.2014	40.231687	8	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	3862	0.8812875	9995.7889	223.303744	3.916336	2000-2009 –> 2010-2019	1.7283426	0.8470551	20933.5043	382.329274	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3862	0.8915391	10085.1200	302.576651	3.984808	2000-2009 –> 2010-2019	1.7488109	0.8572717	21127.3811	500.424398	10	20
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	7165	0.9106209	19005.6919	262.256939	4.854402	1982-1999 –> 2000-2009	1.7741607	0.8635397	43726.2653	788.564645	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7165	0.9117062	19022.7600	49.918310	4.838286	1982-1999 –> 2000-2009	1.7759003	0.8641941	43758.0431	116.291286	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	7165	0.9160881	19089.4685	41.046574	4.544589	1982-1999 –> 2000-2009	1.7807719	0.8646838	43833.7547	106.394491	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7165	0.9162335	19093.7431	40.163131	4.925174	1982-1999 –> 2000-2009	1.7889765	0.8727430	44020.1919	91.726073	4	8
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7165	0.9197308	19148.3364	40.725773	4.985498	1982-1999 –> 2000-2009	1.7963549	0.8766242	44160.9573	91.625196	5	10
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	7165	0.9266374	19253.5448	238.110828	5.849743	1982-1999 –> 2000-2009	1.8930345	0.9663971	46157.5460	747.680593	6	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	7165	0.9284628	19281.7454	7.365445	5.876409	1982-1999 –> 2000-2009	1.8992013	0.9707385	46272.7927	23.669532	7	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	7165	0.9317779	19332.8194	33.383852	5.921507	1982-1999 –> 2000-2009	1.9100858	0.9783079	46474.7100	81.792770	8	23
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7165	0.9341740	19369.6232	8.580309	5.942185	1982-1999 –> 2000-2009	1.9144587	0.9802847	46550.7140	26.781772	9	26
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	7165	0.9874590	20164.5399	179.056574	8.141458	1982-1999 –> 2000-2009	1.9215587	0.9340997	46408.4244	563.385490	11	17
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6247	1.0176477	17960.7851	175.606260	7.213143	2000-2009 –> 2010-2019	1.9293539	0.9117062	36983.5451	225.524571	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	6247	1.0225064	18018.2948	148.160885	6.997083	2000-2009 –> 2010-2019	1.9385944	0.9160881	37107.7633	189.207460	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6247	1.0256465	18058.6056	154.275323	7.247225	2000-2009 –> 2010-2019	1.9418800	0.9162335	37152.3487	194.438454	3	6
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6247	1.0282780	18090.6203	133.030912	7.319186	2000-2009 –> 2010-2019	1.9480088	0.9197308	37238.9567	173.756685	5	9
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	6247	1.0289986	18097.3722	42.048520	7.377984	2000-2009 –> 2010-2019	1.9574614	0.9284628	37379.1176	49.413965	6	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6247	1.0365801	18189.0889	125.648885	7.398781	2000-2009 –> 2010-2019	1.9683580	0.9317779	37521.9084	159.032737	10	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6247	1.0386249	18213.7114	44.420725	7.462384	2000-2009 –> 2010-2019	1.9727990	0.9341740	37583.3346	53.001034	11	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + aou + phosphate	6247	1.0344096	18160.9004	9.560128	7.153016	2000-2009 –> 2010-2019	2.0006400	0.9662304	38012.0122	14.199416	9	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	6247	1.0314725	18127.3743	124.083776	7.854070	2000-2009 –> 2010-2019	2.0257398	0.9942673	38390.3779	141.829705	7	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6247	1.0411235	18243.7316	154.166522	7.919097	2000-2009 –> 2010-2019	2.0416433	1.0005198	38596.5675	191.622224	12	22
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3097	5.6626877	19542.6735	113.504152	17.682113	1982-1999 –> 2000-2009	11.2283704	5.5656827	32914.1514	214.164030	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3097	5.9137092	19809.3358	113.061721	20.511058	1982-1999 –> 2000-2009	11.6781155	5.7644063	33328.2652	210.890058	2	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3097	6.0619139	19964.6517	19.416041	17.107150	1982-1999 –> 2000-2009	11.7853218	5.7234079	33455.1743	42.925137	3	5
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3097	6.2163964	20120.5225	7.190752	19.054397	1982-1999 –> 2000-2009	12.0784905	5.8620941	33713.0401	12.684041	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3097	6.2531702	20157.0559	10.483559	19.363344	1982-1999 –> 2000-2009	12.1529311	5.8997609	33776.8584	18.684747	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	3097	6.3432809	20243.6769	18.080379	20.863812	1982-1999 –> 2000-2009	12.3286576	5.9853767	33922.8552	40.359544	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3097	6.5226405	20416.3851	6.732308	21.220604	1982-1999 –> 2000-2009	12.6736747	6.1510342	34211.8655	11.970073	8	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3097	6.5247999	20418.4354	10.144124	21.173342	1982-1999 –> 2000-2009	12.6916242	6.1668243	34224.8374	18.133053	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3097	6.4304983	20328.2616	7.149277	19.288284	1982-1999 –> 2000-2009	12.7406587	6.3101604	34232.5460	12.436754	7	16
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	3097	6.5254424	20417.0453	6.607882	21.128260	1982-1999 –> 2000-2009	12.8368239	6.3113814	34320.1540	10.155970	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	4002	5.3422625	24783.0807	144.257536	35.313189	2000-2009 –> 2010-2019	11.0049503	5.6626877	44325.7541	257.761689	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	4002	5.5675478	25111.6895	144.108327	29.198384	2000-2009 –> 2010-2019	11.4812570	5.9137092	44921.0253	257.170048	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4002	5.7586679	25383.8363	24.348685	21.461219	2000-2009 –> 2010-2019	11.8205819	6.0619139	45348.4881	43.764726	3	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4002	5.9121921	25594.4255	10.008463	21.465459	2000-2009 –> 2010-2019	12.1285885	6.2163964	45714.9480	17.199215	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4002	5.9746031	25678.4754	10.801567	21.385794	2000-2009 –> 2010-2019	12.2277733	6.2531702	45835.5313	21.285125	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate	4002	5.9891924	25695.9964	21.212015	22.109434	2000-2009 –> 2010-2019	12.3324733	6.3432809	45939.6734	39.292394	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4002	6.2222209	26001.5117	7.398771	22.148694	2000-2009 –> 2010-2019	12.6527192	6.4304983	46329.7733	14.548048	9	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4002	6.1749155	25940.4276	7.368046	23.059115	2000-2009 –> 2010-2019	12.6975561	6.5226405	46356.8128	14.100354	7	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4002	6.1884842	25957.9962	8.753926	22.952669	2000-2009 –> 2010-2019	12.7132841	6.5247999	46376.4316	18.898050	8	17
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + phosphate_star	4002	6.2275025	26006.3029	7.307168	22.607902	2000-2009 –> 2010-2019	12.7529449	6.5254424	46423.3481	13.915050	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3001	4.0530485	16930.0839	536.024394	16.448601	1982-1999 –> 2000-2009	7.7198789	3.6668304	34243.1299	1123.151396	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3001	3.9963967	16845.5987	59.094607	19.890971	1982-1999 –> 2000-2009	7.8209239	3.8245272	34426.6149	104.920473	1	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3001	4.1296389	17042.4453	29.627145	20.274488	1982-1999 –> 2000-2009	8.1086688	3.9790299	34875.4962	48.498601	3	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3001	4.1594676	17085.6424	32.123284	20.263599	1982-1999 –> 2000-2009	8.1716198	4.0121522	34971.4494	51.609852	4	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	3001	4.6091680	17699.8093	58.796866	16.638898	1982-1999 –> 2000-2009	9.0452076	4.4360396	36222.7795	104.608358	5	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3001	4.6951211	17810.7056	296.280885	14.340988	1982-1999 –> 2000-2009	9.0717723	4.3766512	36247.9009	560.475646	8	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3001	4.7690523	17904.4790	532.228939	19.302585	1982-1999 –> 2000-2009	9.0837152	4.3146629	36250.8940	1114.538028	10	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3001	4.6577335	17762.7199	19.803148	17.467887	1982-1999 –> 2000-2009	9.1922265	4.5344930	36425.3879	30.233554	6	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3001	4.6742245	17783.9328	26.891222	17.540897	1982-1999 –> 2000-2009	9.2352663	4.5610418	36483.7526	39.543774	7	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + phosphate	3001	5.0300121	18224.2343	57.898602	20.879614	1982-1999 –> 2000-2009	9.5374876	4.5074755	36848.8709	99.414523	11	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3089	3.4887534	16499.8880	63.850000	16.657473	2000-2009 –> 2010-2019	7.4851501	3.9963967	33345.4867	122.944608	1	2
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	3089	3.6545228	16786.6773	553.234668	34.533471	2000-2009 –> 2010-2019	7.7075713	4.0530485	33716.7612	1089.259063	4	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3089	3.5815269	16662.0280	21.072653	17.760089	2000-2009 –> 2010-2019	7.7111658	4.1296389	33704.4733	50.699799	2	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3089	3.6081046	16707.7044	21.627282	17.929822	2000-2009 –> 2010-2019	7.7675722	4.1594676	33793.3467	53.750566	3	7
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	3089	4.0426377	17408.2343	61.953759	16.877146	2000-2009 –> 2010-2019	8.6518057	4.6091680	35108.0436	120.750625	5	10
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3089	4.0971614	17491.0011	14.916158	16.991913	2000-2009 –> 2010-2019	8.7548949	4.6577335	35253.7209	34.719306	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3089	4.1200877	17525.4746	17.422274	17.114482	2000-2009 –> 2010-2019	8.7943121	4.6742245	35309.4073	44.313496	7	14
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3089	4.1261249	17534.5207	320.312452	24.745454	2000-2009 –> 2010-2019	8.8212460	4.6951211	35345.2262	616.593337	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3089	4.4496492	18000.8767	20.960492	16.191031	2000-2009 –> 2010-2019	9.1993278	4.7496786	35880.9237	47.619522	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	3089	4.6889493	18324.5006	516.332879	28.440525	2000-2009 –> 2010-2019	9.4580016	4.7690523	36228.9795	1048.561818	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2685	4.2271557	15374.7126	119.398449	15.791380	1982-1999 –> 2000-2009	7.5233530	3.2961973	30395.5868	189.406253	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2685	4.3338509	15508.5713	55.629280	16.158878	1982-1999 –> 2000-2009	7.7614287	3.4275777	30754.0242	100.612497	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2685	4.3433762	15520.3610	59.308321	16.181992	1982-1999 –> 2000-2009	7.7808399	3.4374638	30782.3629	106.402600	3	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2685	4.5011992	15710.0264	615.337095	19.392226	1982-1999 –> 2000-2009	8.0226832	3.5214840	31108.7861	1050.378433	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2685	4.5309161	15745.3626	47.658427	15.137465	1982-1999 –> 2000-2009	8.1036262	3.5727101	31227.1056	88.128558	5	10
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2685	4.6286869	15860.0071	119.373401	20.348794	1982-1999 –> 2000-2009	8.2903490	3.6616621	31483.0600	189.126454	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2685	4.8207195	16078.2975	118.945472	14.773831	1982-1999 –> 2000-2009	8.4511299	3.6304104	31652.0987	187.451485	9	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2685	4.7480641	15996.7475	27.545415	20.784084	1982-1999 –> 2000-2009	8.5349226	3.7868584	31812.9786	42.388120	7	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2685	4.7585031	16008.5410	36.553135	20.812772	1982-1999 –> 2000-2009	8.5551434	3.7966403	31839.5954	55.896916	8	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2685	4.9553694	16226.2331	58.439818	15.018878	1982-1999 –> 2000-2009	8.7094585	3.7540891	31992.5251	104.198562	11	19
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2837	3.1206288	14522.2652	95.184827	14.930233	2000-2009 –> 2010-2019	7.3477846	4.2271557	29896.9778	214.583276	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2837	3.2320781	14721.3703	47.881923	16.068727	2000-2009 –> 2010-2019	7.5659290	4.3338509	30229.9416	103.511203	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2837	3.2485919	14750.2868	48.958861	16.138475	2000-2009 –> 2010-2019	7.5919680	4.3433762	30270.6477	108.267182	3	6
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2837	3.3264070	14882.5966	506.139889	15.971603	2000-2009 –> 2010-2019	7.8276062	4.5011992	30592.6230	1121.476984	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	2837	3.4109884	15025.0672	93.338918	16.056036	2000-2009 –> 2010-2019	8.0396753	4.6286869	30885.0743	212.712319	5	11
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2837	3.7581269	15574.9831	47.159223	12.853030	2000-2009 –> 2010-2019	8.2890430	4.5309161	31320.3457	94.817650	8	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2837	3.5517624	15254.5341	21.594606	16.627235	2000-2009 –> 2010-2019	8.2998265	4.7480641	31251.2816	49.140021	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2837	3.5752262	15291.8947	25.990967	16.686868	2000-2009 –> 2010-2019	8.3337294	4.7585031	31300.4356	62.544102	7	15
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + silicate + phosphate_star	2837	4.2341772	16249.7118	19.610729	13.273077	2000-2009 –> 2010-2019	9.1652739	4.9310966	32447.5765	41.284367	9	19
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + phosphate	2837	4.6551626	16789.5378	91.559838	17.684419	2000-2009 –> 2010-2019	9.4758821	4.8207195	32867.8353	210.505310	10	19
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3955	4.1764597	22544.8634	137.931965	13.482221	1982-1999 –> 2000-2009	7.5236520	3.3471923	41993.8564	225.673002	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3955	4.2890432	22753.2675	679.478620	13.885621	1982-1999 –> 2000-2009	7.7034744	3.4144312	42347.3995	1167.623959	3	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	3955	4.2847328	22745.3141	135.538996	13.965870	1982-1999 –> 2000-2009	7.7782055	3.4934728	42508.7522	222.847152	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3955	4.2979575	22771.6906	79.551746	13.667305	1982-1999 –> 2000-2009	7.8360192	3.5380617	42630.9554	134.414743	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3955	4.3075978	22789.4127	71.532821	13.800191	1982-1999 –> 2000-2009	7.8489954	3.5413977	42655.6498	121.407615	5	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3955	4.3824528	22923.6877	52.074710	15.261878	1982-1999 –> 2000-2009	7.9280112	3.5455583	42796.6113	91.148888	6	12
Indo-Pacific	(26.75,27]	3	cstar_tref ~ aou + phosphate + phosphate_star	3955	4.3882868	22932.2104	597.876399	13.226897	1982-1999 –> 2000-2009	7.9666184	3.5783317	42871.2033	1016.290643	7	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	3955	4.4104721	22974.0993	132.755748	13.390077	1982-1999 –> 2000-2009	8.0509694	3.6404973	43042.5125	219.880920	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3955	4.4253136	23000.6722	74.195793	14.187768	1982-1999 –> 2000-2009	8.1122691	3.6869555	43162.8977	124.780715	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3955	4.4496925	23044.1286	68.960554	14.191795	1982-1999 –> 2000-2009	8.1558726	3.7061801	43244.8286	116.601491	10	20
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3551	3.5906255	19169.9756	100.419105	12.738335	2000-2009 –> 2010-2019	7.7670851	4.1764597	41714.8390	238.351070	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3551	3.6254604	19236.5445	507.648157	13.129697	2000-2009 –> 2010-2019	7.9145036	4.2890432	41989.8120	1187.126777	2	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3551	3.6996390	19382.3881	56.694812	13.537297	2000-2009 –> 2010-2019	7.9975965	4.2979575	42154.0787	136.246558	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3551	3.6966127	19376.5763	53.016168	13.545860	2000-2009 –> 2010-2019	8.0042104	4.3075978	42165.9890	124.548989	3	8
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3551	3.7181198	19415.7766	44.968547	13.093904	2000-2009 –> 2010-2019	8.1005727	4.3824528	42339.4642	97.043257	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	3551	3.7168219	19413.2969	95.490492	13.432039	2000-2009 –> 2010-2019	8.1272940	4.4104721	42387.3962	228.246241	5	13
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3551	3.8427256	19649.8853	28.511560	13.880339	2000-2009 –> 2010-2019	8.3858605	4.5431350	42858.4019	72.102925	8	19
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3551	3.8395828	19644.0745	20.987496	13.889061	2000-2009 –> 2010-2019	8.3973797	4.5577969	42878.0777	50.737624	7	20
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + silicate + phosphate_star	3551	3.8566935	19673.6535	16.199497	13.655151	2000-2009 –> 2010-2019	8.5447929	4.6880994	43128.6229	38.130860	9	23
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + phosphate	3551	4.6108448	20944.0771	100.094188	18.592928	2000-2009 –> 2010-2019	8.8955776	4.2847328	43689.3912	235.633184	10	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5025	3.8699509	27872.4124	630.770104	12.079466	1982-1999 –> 2000-2009	7.0730438	3.2030929	50093.5229	1246.980043	1	2
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	5025	3.8893199	27920.5869	548.595756	12.145071	1982-1999 –> 2000-2009	7.0925255	3.2032057	50140.0001	1024.968870	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5025	4.0833429	28413.8379	132.230922	13.394369	1982-1999 –> 2000-2009	7.3562764	3.2729335	50822.4055	240.747628	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	5025	4.0869565	28420.7278	130.467182	13.298373	1982-1999 –> 2000-2009	7.3719354	3.2849790	50858.8807	235.931857	4	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	5025	4.1036317	28461.6496	122.600120	12.982065	1982-1999 –> 2000-2009	7.4945216	3.3908899	51172.6355	228.821939	5	10
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	5025	4.1104157	28476.2502	121.844052	13.090476	1982-1999 –> 2000-2009	7.5085442	3.3981285	51203.5709	225.348470	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5025	4.2680879	28858.5498	69.895485	13.861257	1982-1999 –> 2000-2009	7.7632607	3.4951729	51831.9729	136.557525	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5025	4.2693566	28859.5369	57.098265	13.823935	1982-1999 –> 2000-2009	7.7904666	3.5211099	51894.5286	108.559583	8	18
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5025	4.2921907	28915.1447	62.702569	13.976965	1982-1999 –> 2000-2009	7.7921821	3.4999914	51900.4131	121.762005	11	19
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5025	4.2922698	28913.3298	54.653240	13.965694	1982-1999 –> 2000-2009	7.8274974	3.5352276	51982.7259	104.276873	12	23
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4714	3.8059352	25990.8565	618.708209	14.137380	2000-2009 –> 2010-2019	7.6758860	3.8699509	53863.2690	1249.478314	1	2
Indo-Pacific	(27,27.25]	3	cstar_tref ~ aou + phosphate + phosphate_star	4714	3.8601643	26122.2441	509.144058	13.605312	2000-2009 –> 2010-2019	7.7494842	3.8893199	54042.8310	1057.739814	2	4
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4714	4.0319978	26536.8544	118.821783	13.595163	2000-2009 –> 2010-2019	8.1153407	4.0833429	54950.6923	251.052705	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate	4714	4.0468079	26569.4214	108.202624	14.210460	2000-2009 –> 2010-2019	8.1504396	4.1036317	55031.0710	230.802745	4	9
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + phosphate	4714	4.1115842	26719.1382	115.931672	13.057351	2000-2009 –> 2010-2019	8.1985407	4.0869565	55139.8660	246.398854	5	9
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + phosphate	4714	4.1235805	26744.6060	105.730200	13.625203	2000-2009 –> 2010-2019	8.2339962	4.1104157	55220.8562	227.574251	6	12
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4714	4.1968221	26914.5930	49.637914	13.948718	2000-2009 –> 2010-2019	8.4649100	4.2680879	55773.1428	119.533399	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4714	4.2060157	26933.2236	22.837173	14.442136	2000-2009 –> 2010-2019	8.4857293	4.2797136	55817.1110	51.278704	8	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4714	4.2123105	26949.3231	45.068187	13.970239	2000-2009 –> 2010-2019	8.5045012	4.2921907	55864.4678	107.770756	9	20
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4714	4.2221806	26969.3886	16.733331	14.482280	2000-2009 –> 2010-2019	8.5271584	4.3049777	55912.4291	36.376769	10	23
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6501	3.3788980	34293.6188	297.413481	11.779936	1982-1999 –> 2000-2009	6.1391445	2.7602466	63956.8878	574.904860	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	6501	3.3797042	34294.7208	81.933696	11.814146	1982-1999 –> 2000-2009	6.1400733	2.7603691	63956.5305	148.774772	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6501	3.4184401	34444.8935	61.777811	12.113211	1982-1999 –> 2000-2009	6.2225809	2.8041408	64300.3284	118.468904	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6501	3.4246092	34466.3366	27.835743	12.028498	1982-1999 –> 2000-2009	6.2476923	2.8230831	64401.7723	47.811436	4	9
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6501	3.4391589	34523.4594	62.022779	12.339078	1982-1999 –> 2000-2009	6.2555597	2.8164008	64432.0307	116.890243	5	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6501	3.4662368	34623.4287	31.643504	12.259318	1982-1999 –> 2000-2009	6.3241483	2.8579115	64708.2096	54.671768	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6501	3.6351957	35242.2384	170.441772	14.765717	1982-1999 –> 2000-2009	6.5438437	2.9086481	65541.3543	284.504088	7	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	6501	3.6899442	35436.5973	216.037127	11.910369	1982-1999 –> 2000-2009	6.6215040	2.9315598	65831.2806	453.254166	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6501	3.7012699	35476.4440	23.734038	15.489246	1982-1999 –> 2000-2009	6.6754821	2.9742121	66047.0617	44.463038	10	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate_star	6501	3.7076965	35498.9998	23.571772	15.532455	1982-1999 –> 2000-2009	6.6835422	2.9758457	66076.3055	44.080157	11	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6119	3.5803506	32988.0582	248.247062	12.329688	2000-2009 –> 2010-2019	6.9592486	3.3788980	67281.6770	545.660543	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate	6119	3.5803720	32986.1313	69.275973	12.297338	2000-2009 –> 2010-2019	6.9600762	3.3797042	67280.8521	151.209669	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6119	3.6183616	33117.2988	49.942732	12.190150	2000-2009 –> 2010-2019	7.0368017	3.4184401	67562.1923	111.720544	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6119	3.6250468	33137.8884	21.817727	11.617322	2000-2009 –> 2010-2019	7.0496560	3.4246092	67604.2250	49.653470	4	8
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6119	3.6382651	33184.4317	49.962553	12.375850	2000-2009 –> 2010-2019	7.0774240	3.4391589	67707.8911	111.985332	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6119	3.6638752	33268.2744	24.675322	11.495975	2000-2009 –> 2010-2019	7.1301120	3.4662368	67891.7031	56.318826	6	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + phosphate	6119	3.7270727	33477.5657	147.116339	15.852180	2000-2009 –> 2010-2019	7.3622684	3.6351957	68719.8041	317.558111	7	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate	6119	3.7460557	33539.7389	188.156287	14.258199	2000-2009 –> 2010-2019	7.4359999	3.6899442	68976.3362	404.193414	8	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	6119	3.7860921	33669.8400	20.975562	15.982322	2000-2009 –> 2010-2019	7.4873621	3.7012699	69146.2840	44.709600	9	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + silicate + phosphate	6119	3.8021878	33721.7565	25.305290	14.738691	2000-2009 –> 2010-2019	7.5005196	3.6983318	69187.8752	55.533749	11	20
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	7488	2.8549300	36974.5563	441.599823	10.127116	1982-1999 –> 2000-2009	5.2000495	2.3451195	67787.0440	991.581634	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	7488	2.8621487	37012.3754	64.009612	10.255519	1982-1999 –> 2000-2009	5.2338760	2.3717273	67977.8489	123.442502	2	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	7488	2.8693213	37049.8584	63.845918	10.356422	1982-1999 –> 2000-2009	5.2437033	2.3743820	68030.5011	121.970176	3	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	7488	2.8940392	37176.3173	34.877916	10.389183	1982-1999 –> 2000-2009	5.2800430	2.3860038	68221.1698	59.882144	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	7488	2.8845057	37126.9022	40.258603	10.489914	1982-1999 –> 2000-2009	5.2820369	2.3975312	68237.1090	68.947965	4	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	7488	2.9508661	37467.5340	137.234680	10.245643	1982-1999 –> 2000-2009	5.2960910	2.3452249	68278.6310	260.066530	7	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	7488	2.8996397	37205.2707	39.436341	10.253019	1982-1999 –> 2000-2009	5.4655504	2.5659107	69235.8480	64.632580	6	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	7488	3.1166918	38286.3229	280.033050	10.204885	1982-1999 –> 2000-2009	5.5281255	2.4114337	69474.9322	535.542296	9	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	7488	3.1437539	38415.7975	10.972918	10.510473	1982-1999 –> 2000-2009	5.5359633	2.3922094	69495.8713	27.587180	13	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate_star	7488	3.1321915	38360.6158	11.059935	10.359569	1982-1999 –> 2000-2009	5.5744336	2.4422421	69721.3702	28.610191	12	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6787	3.3167610	35549.7444	428.553183	11.634779	2000-2009 –> 2010-2019	6.1716910	2.8549300	72524.3007	870.153006	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6787	3.3226440	35573.7994	71.110935	11.418803	2000-2009 –> 2010-2019	6.1847927	2.8621487	72586.1748	135.120547	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6787	3.3310299	35608.0152	70.902176	11.495584	2000-2009 –> 2010-2019	6.2003512	2.8693213	72657.8737	134.748093	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6787	3.3396351	35641.0365	29.989692	12.549207	2000-2009 –> 2010-2019	6.2241408	2.8845057	72767.9387	70.248295	5	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + silicate + phosphate	6787	3.3317641	35609.0069	33.631700	10.728609	2000-2009 –> 2010-2019	6.2314038	2.8996397	72814.2777	73.068041	4	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6787	3.3411178	35647.0612	25.398742	12.950834	2000-2009 –> 2010-2019	6.2351569	2.8940392	72823.3786	60.276657	6	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + silicate + phosphate	6787	3.3549186	35703.0147	104.390292	13.943492	2000-2009 –> 2010-2019	6.3057847	2.9508661	73170.5488	241.624972	7	14
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + silicate	6787	3.4413895	36048.4430	56.272128	11.079591	2000-2009 –> 2010-2019	6.5350817	3.0936923	74223.8411	113.977719	9	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + phosphate	6787	3.4403188	36044.2191	210.560815	15.477932	2000-2009 –> 2010-2019	6.5570106	3.1166918	74330.5420	490.593865	8	17
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + phosphate	6787	3.4630566	36131.6377	80.556901	14.686081	2000-2009 –> 2010-2019	6.5819990	3.1189424	74426.7709	197.532051	12	22
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2872	2.1790350	12638.2818	639.712822	8.803892	1982-1999 –> 2000-2009	4.1326267	1.9535917	23763.6770	1378.229342	1	2
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2872	2.1790461	12636.3110	474.540783	8.820266	1982-1999 –> 2000-2009	4.1326463	1.9536002	23759.7293	972.412669	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2872	2.1851658	12654.4202	83.951688	8.903067	1982-1999 –> 2000-2009	4.1545360	1.9693701	23822.6104	162.385055	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2872	2.1851814	12652.4610	10.817809	8.922272	1982-1999 –> 2000-2009	4.1545650	1.9693836	23818.6877	35.336828	4	8
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2872	2.1866268	12658.2592	84.789667	8.942126	1982-1999 –> 2000-2009	4.1593919	1.9727651	23835.6126	162.110938	5	10
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2872	2.1866271	12656.2599	10.990573	8.944724	1982-1999 –> 2000-2009	4.1593931	1.9727660	23831.6157	36.104217	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2872	2.2199190	12743.0547	10.186353	9.741308	1982-1999 –> 2000-2009	4.2494427	2.0295237	24069.3097	32.454841	7	19
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate	2872	2.2305138	12770.4033	407.186037	9.290363	1982-1999 –> 2000-2009	4.2574680	2.0269543	24089.9187	838.163696	8	17
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + phosphate	2872	2.2454307	12806.6894	368.756996	8.740203	1982-1999 –> 2000-2009	4.2955496	2.0501188	24184.6586	735.831733	9	24
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	2872	2.2615572	12849.7948	62.293457	9.424161	1982-1999 –> 2000-2009	4.3542475	2.0926903	24339.1042	116.244017	10	27
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2622	2.4688097	12194.1060	795.990533	15.036113	2000-2009 –> 2010-2019	4.6478447	2.1790350	24832.3878	1435.703355	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2622	2.4853323	12229.0848	84.206042	14.946469	2000-2009 –> 2010-2019	4.6704982	2.1851658	24883.5050	168.157730	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2622	2.4913501	12241.7669	85.616423	14.911875	2000-2009 –> 2010-2019	4.6779769	2.1866268	24900.0260	170.406090	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate	2622	2.5773349	12417.7016	516.154315	13.274920	2000-2009 –> 2010-2019	4.7563810	2.1790461	25054.0126	990.695098	7	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2622	2.5927031	12448.8778	13.028311	13.161889	2000-2009 –> 2010-2019	4.7778845	2.1851814	25101.3388	23.846120	8	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2622	2.5946051	12452.7232	13.261076	13.153040	2000-2009 –> 2010-2019	4.7812321	2.1866271	25108.9832	24.251648	9	15
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2622	2.6767405	12616.1551	11.881166	12.153389	2000-2009 –> 2010-2019	4.8966595	2.2199190	25359.2098	22.067519	11	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2622	2.5461330	12353.8289	795.708462	16.168224	2000-2009 –> 2010-2019	4.9029428	2.3568098	25440.5943	1433.097894	4	29
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2622	2.5663673	12395.3385	83.992560	16.078214	2000-2009 –> 2010-2019	4.9310427	2.3646755	25501.2421	167.901182	5	32
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2622	2.5739942	12410.8999	85.450707	16.045339	2000-2009 –> 2010-2019	4.9405959	2.3666017	25521.4807	170.176963	6	35
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3417	1.9295451	14202.9067	698.881899	8.156288	1982-1999 –> 2000-2009	3.5908147	1.6612695	25733.6470	1556.400948	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3417	1.9289167	14200.6807	74.802367	8.177718	1982-1999 –> 2000-2009	3.5987066	1.6697899	25762.0027	154.682483	2	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3417	1.9289129	14200.6673	78.036057	8.179089	1982-1999 –> 2000-2009	3.6008712	1.6719583	25769.7474	160.074795	1	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3417	1.9453857	14256.7815	600.595830	8.781290	1982-1999 –> 2000-2009	3.6103080	1.6649223	25798.6516	1263.167874	6	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3417	1.9422327	14245.6962	16.203309	8.777149	1982-1999 –> 2000-2009	3.6138991	1.6716664	25811.7325	42.297166	5	9
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3417	1.9415475	14243.2848	16.760182	8.765191	1982-1999 –> 2000-2009	3.6152939	1.6737464	25816.7546	43.928169	4	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3417	1.9723942	14351.0076	14.804574	7.951483	1982-1999 –> 2000-2009	3.7430285	1.7706343	26260.8798	37.465131	7	20
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + silicate + phosphate	3417	2.0421699	14588.5902	380.923067	8.007766	1982-1999 –> 2000-2009	3.8898042	1.8476343	26752.9351	849.567229	8	23
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	3417	2.1586613	14967.7086	697.702181	9.842736	1982-1999 –> 2000-2009	3.9040802	1.7454190	26791.8370	1533.209791	22	29
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3417	2.1591800	14969.3506	74.595555	9.853360	1982-1999 –> 2000-2009	3.9095776	1.7503976	26810.5063	152.556691	23	31
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3246	1.9391470	13525.0642	791.438307	13.447735	2000-2009 –> 2010-2019	3.8686921	1.9295451	27727.9709	1490.320206	1	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3246	1.9417284	13533.7005	65.787632	13.459010	2000-2009 –> 2010-2019	3.8706451	1.9289167	27734.3813	140.589999	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3246	1.9428362	13537.4033	66.793492	13.460864	2000-2009 –> 2010-2019	3.8717491	1.9289129	27738.0706	144.829549	3	4
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate	3246	1.9702726	13626.4410	712.077375	12.657824	2000-2009 –> 2010-2019	3.9156583	1.9453857	27883.2225	1312.673205	4	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3246	1.9791206	13655.5297	23.104505	12.524871	2000-2009 –> 2010-2019	3.9213533	1.9422327	27901.2259	39.307815	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3246	1.9810298	13661.7893	23.954994	12.507922	2000-2009 –> 2010-2019	3.9225773	1.9415475	27905.0741	40.715176	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3246	2.1364948	14152.2580	20.415106	10.551153	2000-2009 –> 2010-2019	4.1088889	1.9723942	28503.2657	35.219680	14	21
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	3246	2.0408851	13855.0353	787.378849	15.082684	2000-2009 –> 2010-2019	4.1995464	2.1586613	28822.7439	1485.081030	7	29
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3246	2.0439941	13864.9172	64.725221	15.094602	2000-2009 –> 2010-2019	4.2031740	2.1591800	28834.2678	139.320775	8	31
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3246	2.0453603	13869.2551	65.726813	15.098564	2000-2009 –> 2010-2019	4.2047229	2.1593626	28839.1838	143.537635	9	33
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	3733	1.6440749	14319.7250	625.640331	8.746226	1982-1999 –> 2000-2009	3.0502044	1.4061295	26282.6274	1266.404102	3	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	3733	1.6429947	14314.8180	82.444174	8.644749	1982-1999 –> 2000-2009	3.0629544	1.4199597	26344.1782	159.625073	1	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	3733	1.6430008	14314.8459	86.655865	8.623528	1982-1999 –> 2000-2009	3.0661377	1.4231369	26359.3818	169.762998	2	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	3733	1.6738954	14451.9309	575.141196	9.583744	1982-1999 –> 2000-2009	3.0925695	1.4186741	26473.1406	1105.257515	6	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	3733	1.6695594	14432.5663	21.997759	9.461170	1982-1999 –> 2000-2009	3.0982518	1.4286924	26501.5567	44.498377	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	3733	1.6686969	14428.7084	23.189563	9.416906	1982-1999 –> 2000-2009	3.1004114	1.4317145	26512.0463	47.219953	4	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	3733	1.7214772	14661.1976	19.302451	6.701763	1982-1999 –> 2000-2009	3.2880420	1.5665648	27355.7206	37.835502	7	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	3733	1.8741706	15295.6842	625.196301	10.867960	1982-1999 –> 2000-2009	3.4251210	1.5509503	27922.1896	1264.480207	8	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	3733	1.8754849	15298.9179	573.355646	11.015072	1982-1999 –> 2000-2009	3.4349750	1.5594901	27960.7074	1100.828743	9	17
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3733	1.8850134	15338.7534	80.230278	10.722955	1982-1999 –> 2000-2009	3.4496363	1.5646229	28024.8545	157.284498	10	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	4673	1.6642531	18036.0315	109.528078	5.886546	2000-2009 –> 2010-2019	3.3072478	1.6429947	32350.8495	191.972252	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	4673	1.6642630	18036.0872	106.335116	5.880936	2000-2009 –> 2010-2019	3.3072638	1.6430008	32350.9331	192.990981	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	4673	1.6643980	18036.8454	685.553797	5.898717	2000-2009 –> 2010-2019	3.3084729	1.6440749	32356.5704	1311.194129	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	4673	1.6687607	18059.3112	34.449606	6.092644	2000-2009 –> 2010-2019	3.3374577	1.6686969	32488.0195	57.639169	4	8
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate_star	4673	1.6692002	18061.7720	32.756106	6.109301	2000-2009 –> 2010-2019	3.3387596	1.6695594	32494.3384	54.753865	5	10
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + phosphate	4673	1.6702549	18067.6753	679.565819	6.130952	2000-2009 –> 2010-2019	3.3441502	1.6738954	32519.6062	1254.707015	6	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	4673	1.7246500	18367.1953	29.987878	6.949987	2000-2009 –> 2010-2019	3.4461272	1.7214772	33028.3929	49.290329	7	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	4673	1.8511685	19028.8256	679.779983	8.100262	2000-2009 –> 2010-2019	3.7253391	1.8741706	34324.5097	1304.976284	13	21
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	4673	1.8610696	19076.6804	666.263619	7.795396	2000-2009 –> 2010-2019	3.7365545	1.8754849	34375.5983	1239.619266	16	25
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4673	1.8526161	19036.1312	100.833811	8.041919	2000-2009 –> 2010-2019	3.7376295	1.8850134	34374.8846	181.064089	14	24
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2330	1.2372064	7618.1622	638.484545	5.662211	1982-1999 –> 2000-2009	2.2459289	1.0087225	14216.3605	1320.787407	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2330	1.2470380	7655.0469	131.738820	5.696718	1982-1999 –> 2000-2009	2.2694520	1.0224141	14315.4237	280.727074	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2330	1.2484642	7660.3736	143.447068	5.689336	1982-1999 –> 2000-2009	2.2732108	1.0247465	14331.2598	311.185393	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2330	1.3012615	7851.3908	517.440104	6.652653	1982-1999 –> 2000-2009	2.3512743	1.0500129	14632.6120	983.926083	5	9
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2330	1.3106897	7885.0329	22.323861	6.687578	1982-1999 –> 2000-2009	2.3725924	1.0619027	14718.1847	47.828941	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2330	1.3018376	7853.4536	626.517097	6.437585	1982-1999 –> 2000-2009	2.3762407	1.0744031	14740.5795	1308.089798	6	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2330	1.3137223	7895.8023	23.342503	6.702541	1982-1999 –> 2000-2009	2.3790102	1.0652880	14743.6334	50.327494	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2330	1.2894106	7808.7565	20.881482	4.948135	1982-1999 –> 2000-2009	2.3920591	1.1026485	14815.5627	44.065529	4	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2330	1.3145802	7898.8446	129.587713	6.480698	1982-1999 –> 2000-2009	2.4015568	1.0869766	14839.6303	276.905462	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2330	1.3161406	7904.3726	140.919186	6.467047	1982-1999 –> 2000-2009	2.4050166	1.0888760	14853.2105	306.800946	10	19
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	2666	1.3887534	9330.8437	641.869992	5.696132	2000-2009 –> 2010-2019	2.6259598	1.2372064	16949.0059	1280.354537	1	2
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	2666	1.3892776	9332.8562	188.834042	5.862095	2000-2009 –> 2010-2019	2.6363156	1.2470380	16987.9030	320.572862	2	4
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	2666	1.3893037	9332.9562	197.616794	5.866054	2000-2009 –> 2010-2019	2.6377679	1.2484642	16993.3299	341.063862	3	6
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	2666	1.3900757	9333.9184	24.023590	5.780016	2000-2009 –> 2010-2019	2.6794863	1.2894106	17142.6749	44.905072	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate	2666	1.4727447	9641.9456	592.139703	6.233097	2000-2009 –> 2010-2019	2.7740062	1.3012615	17493.3364	1109.579808	7	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + phosphate_star	2666	1.4717611	9638.3833	24.432025	6.378415	2000-2009 –> 2010-2019	2.7824508	1.3106897	17523.4162	46.755886	6	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	2666	1.4714653	9637.3118	25.724154	6.436366	2000-2009 –> 2010-2019	2.7851876	1.3137223	17533.1141	49.066657	5	13
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate	2666	1.5506403	9916.7576	603.936184	6.180950	2000-2009 –> 2010-2019	2.8524779	1.3018376	17770.2111	1230.453282	8	14
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2666	1.5518583	9920.9442	181.930517	6.145291	2000-2009 –> 2010-2019	2.8664385	1.3145802	17819.7888	311.518230	10	19
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2666	1.5517642	9920.6208	190.294551	6.141583	2000-2009 –> 2010-2019	2.8679047	1.3161406	17824.9934	331.213737	9	19
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5429	1.1242167	16692.1601	385.754253	7.068916	1982-1999 –> 2000-2009	2.0778931	0.9536764	31386.7782	757.322106	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5429	1.1321884	16768.8818	55.151339	7.287651	1982-1999 –> 2000-2009	2.0933060	0.9611175	31546.6945	123.079707	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5429	1.1329430	16776.1158	61.862366	7.309013	1982-1999 –> 2000-2009	2.0946749	0.9617319	31560.7685	141.014612	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5429	1.1608807	17038.6198	13.042354	7.391802	1982-1999 –> 2000-2009	2.1465965	0.9857158	32084.9375	25.954867	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5429	1.4054206	19114.2095	19.049011	6.697283	1982-1999 –> 2000-2009	2.6784839	1.2730633	36898.7521	38.090274	6	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	5429	1.4204290	19229.5467	383.065128	6.270869	1982-1999 –> 2000-2009	2.6787559	1.2583269	36889.4617	734.932148	8	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5429	1.4066441	19123.6583	21.582801	6.776717	1982-1999 –> 2000-2009	2.6789668	1.2723226	36901.9713	42.949845	7	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	5429	1.4027174	19093.3047	368.809304	6.490919	1982-1999 –> 2000-2009	2.6793171	1.2765998	36907.5409	661.534560	5	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	5429	1.4381842	19364.4290	49.943606	6.413668	1982-1999 –> 2000-2009	2.7142660	1.2760818	37174.3212	105.584478	9	17
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5429	1.4421525	19394.3481	56.309731	6.451577	1982-1999 –> 2000-2009	2.7217139	1.2795613	37233.3876	121.473234	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	5861	1.0309974	17004.6309	636.320039	6.823947	2000-2009 –> 2010-2019	2.1552141	1.1242167	33696.7910	1022.074292	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	5861	1.0336219	17034.4328	82.174912	6.941035	2000-2009 –> 2010-2019	2.1658103	1.1321884	33803.3146	137.326251	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	5861	1.0337994	17036.4453	90.475542	6.944642	2000-2009 –> 2010-2019	2.1667424	1.1329430	33812.5611	152.337908	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	5861	1.0417363	17124.0966	18.767019	6.610603	2000-2009 –> 2010-2019	2.2026170	1.1608807	34162.7164	31.809373	4	8
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate	5861	1.2880377	19611.8694	588.490749	7.967807	2000-2009 –> 2010-2019	2.6907551	1.4027174	38705.1741	957.300054	7	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + phosphate_star	5861	1.2859624	19592.9675	29.525041	8.094159	2000-2009 –> 2010-2019	2.6913830	1.4054206	38707.1771	48.574052	6	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + phosphate + phosphate_star	5861	1.2853544	19587.4233	33.159730	8.137559	2000-2009 –> 2010-2019	2.6919985	1.4066441	38711.0816	54.742531	5	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate	5861	1.3457629	20125.7749	621.994909	8.060199	2000-2009 –> 2010-2019	2.7661919	1.4204290	39355.3215	1005.060036	10	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	5861	1.3598621	20247.9449	60.816204	8.117049	2000-2009 –> 2010-2019	2.7980463	1.4381842	39612.3739	110.759809	11	20
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	5861	1.3637961	20281.8067	67.562304	8.138857	2000-2009 –> 2010-2019	2.8059486	1.4421525	39676.1548	123.872035	12	22
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	12018	0.7784468	28099.6784	146.655139	7.598044	1982-1999 –> 2000-2009	1.6007741	0.8223273	57077.0435	266.296230	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	12018	0.7800593	28149.4170	16.910152	7.694717	1982-1999 –> 2000-2009	1.6057888	0.8257294	57224.5331	35.441916	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	12018	0.7800921	28150.4271	16.620810	7.696667	1982-1999 –> 2000-2009	1.6059450	0.8258529	57229.0823	32.670989	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	12018	0.7815992	28194.8176	12.585568	7.698231	1982-1999 –> 2000-2009	1.6145450	0.8329458	57473.9493	23.481774	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	12018	0.8966181	31494.6713	124.375487	8.017241	1982-1999 –> 2000-2009	1.8587452	0.9621271	64187.3595	222.514792	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	12018	0.9231409	32195.3659	867.407849	7.316971	1982-1999 –> 2000-2009	1.9845426	1.0614017	67213.0170	1471.572039	6	12
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate	12018	0.9449760	32757.2714	140.304587	7.894884	1982-1999 –> 2000-2009	2.0189332	1.0739572	68053.3465	259.910151	7	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	12018	0.9526046	32950.5289	12.028080	8.084883	1982-1999 –> 2000-2009	2.0346134	1.0820088	68423.4447	22.159917	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	12018	0.9536448	32976.7617	12.536643	8.113550	1982-1999 –> 2000-2009	2.0363565	1.0827117	68465.0529	23.700708	9	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	12018	0.9727563	33453.6904	16.605833	8.468665	1982-1999 –> 2000-2009	2.1033126	1.1305563	69965.7576	31.071458	10	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	16048	0.7152994	34802.3548	188.026248	5.057343	2000-2009 –> 2010-2019	1.4937462	0.7784468	62902.0333	334.681387	3	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	16048	0.7152104	34798.3623	16.765828	5.068554	2000-2009 –> 2010-2019	1.4952697	0.7800593	62947.7793	33.675980	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	16048	0.7152082	34798.2618	16.765541	5.069358	2000-2009 –> 2010-2019	1.4953003	0.7800921	62948.6889	33.386351	1	4
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	16048	0.7345467	35652.5787	12.534732	5.025779	2000-2009 –> 2010-2019	1.5161458	0.7815992	63847.3962	25.120300	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate	16048	0.8001080	38396.5693	180.555433	6.137962	2000-2009 –> 2010-2019	1.6967261	0.8966181	69891.2406	304.930920	5	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	16048	0.8597880	40705.5276	16.753573	7.050817	2000-2009 –> 2010-2019	1.8325443	0.9727563	74159.2180	33.359406	6	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	16048	0.9291257	43194.8357	767.985506	7.297753	2000-2009 –> 2010-2019	1.8522666	0.9231409	75390.2016	1635.393355	13	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	16048	0.8788105	41407.8982	16.611483	7.113866	2000-2009 –> 2010-2019	1.8706472	0.9918366	75328.4850	33.004669	8	19
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate	16048	0.9556792	44099.2421	181.257416	8.241128	2000-2009 –> 2010-2019	1.9006552	0.9449760	76856.5135	321.562003	14	21
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	16048	0.9621059	44314.3590	10.364631	8.359431	2000-2009 –> 2010-2019	1.9147105	0.9526046	77264.8880	22.392711	15	23
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6262	1.3322113	21377.1729	279.694432	8.701024	1982-1999 –> 2000-2009	2.3054450	0.9732337	42376.8465	615.366080	7	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6262	1.3137446	21202.3543	75.391332	8.310572	1982-1999 –> 2000-2009	2.3071246	0.9933800	42510.9617	139.546420	1	3
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6262	1.3213635	21274.7764	56.265216	8.384367	1982-1999 –> 2000-2009	2.3171442	0.9957807	42619.7783	104.121187	3	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6262	1.3252739	21311.7845	56.768225	8.357062	1982-1999 –> 2000-2009	2.3298870	1.0046131	42789.9361	104.605993	5	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6262	1.3348563	21400.0134	20.334305	8.488919	1982-1999 –> 2000-2009	2.3325098	0.9976536	42771.3474	35.845504	10	14
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6262	1.3408335	21455.9685	50.903456	9.282297	1982-1999 –> 2000-2009	2.3900023	1.0491688	43586.4410	75.285102	12	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + phosphate + phosphate_star	6262	1.3331230	21383.7405	277.922945	8.618042	1982-1999 –> 2000-2009	2.4358934	1.1027704	44265.5098	483.224023	8	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6262	1.3342785	21394.5913	56.556566	8.968515	1982-1999 –> 2000-2009	2.4429471	1.1086686	44356.7904	76.451395	9	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + phosphate	6262	1.3139361	21202.1802	18.705437	8.269500	1982-1999 –> 2000-2009	2.4502614	1.1363253	44535.8985	41.740055	2	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + silicate + phosphate_star	6262	1.3419500	21466.3927	26.993284	7.899583	1982-1999 –> 2000-2009	2.4651977	1.1232476	44625.5758	73.962586	13	25
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate	6665	1.4354466	23746.9258	83.999139	6.698544	2000-2009 –> 2010-2019	2.7491912	1.3137446	44949.2801	159.390470	7	8
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + silicate + phosphate_star	6665	1.4306598	23702.3997	43.244996	6.728786	2000-2009 –> 2010-2019	2.7520233	1.3213635	44977.1761	99.510211	1	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star	6665	1.4325168	23719.6909	428.359166	6.694481	2000-2009 –> 2010-2019	2.7647281	1.3322113	45096.8639	708.053597	3	10
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star	6665	1.4400262	23789.3854	43.878282	6.790019	2000-2009 –> 2010-2019	2.7653001	1.3252739	45101.1699	100.646507	11	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate_star	6665	1.4325320	23717.8324	32.212842	6.687602	2000-2009 –> 2010-2019	2.7733655	1.3408335	45173.8009	83.116298	4	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + silicate + phosphate + phosphate_star	6665	1.4450719	23834.0111	40.267642	6.792267	2000-2009 –> 2010-2019	2.7793504	1.3342785	45228.6024	96.824208	13	22
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	6665	1.4475586	23856.9299	23.554386	6.234940	2000-2009 –> 2010-2019	2.7824149	1.3348563	45256.9433	43.888691	15	25
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + silicate + phosphate	6665	1.4364992	23754.6973	81.241787	6.660865	2000-2009 –> 2010-2019	2.8090892	1.3725900	45503.8277	154.601331	9	26
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	6665	1.4310344	23703.8900	40.089847	6.623251	2000-2009 –> 2010-2019	2.8175417	1.3865073	45579.3670	66.484594	2	22
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	6665	1.4355296	23745.6963	61.679893	6.646874	2000-2009 –> 2010-2019	2.8265739	1.3910444	45662.0892	92.876901	8	29

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	3.850965	1050.834
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	6.164893	1179.950
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.359214	6704.536
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.639350	4928.574
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.558270	9835.748
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.510736	8080.482
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.333004	14086.891
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.219307	13027.601
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	4.533538	20036.824
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	5.167854	18524.428
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	6.453348	38779.233
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.882717	35585.263
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	4.046199	69078.756
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	4.885896	58772.152
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	2.244058	17924.940
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	2.949113	17121.213
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.020149	19755.108
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	3.811989	19567.964
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.137354	35752.979
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.538460	27939.283
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.089950	6013.907
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.388923	6195.582
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.030365	8661.986
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.225636	8569.692
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.528747	23721.088
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.643804	20093.721
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.845450	45136.340
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.972448	37596.593
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	12.219467	33809.975
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	12.181213	45757.179
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.698677	35699.628
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.435105	34768.637
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	8.173293	31304.812
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.193672	31106.274
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.890409	42725.467
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	8.213487	42530.607
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	7.507025	51190.066
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	8.210599	55161.574
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	6.385357	64925.176
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	7.199947	68135.884
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	5.363987	68646.033
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	6.322741	73232.565
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.204987	23951.492
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.798306	25170.278
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.707638	26130.869
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.008701	28188.941
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.206830	26973.640
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.458900	33066.370
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.346634	14620.646
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.750799	17403.777
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.456397	34858.461
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.513471	37024.267
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.846356	63531.259
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.706801	70153.644
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.377641	43443.909
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.781958	45252.912

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

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	7	6	10	6	8
(26,26.5]	6	6	8	5	10	8
(26.5,26.75]	7	7	7	6	10	6
(26.75,27]	7	7	7	6	10	6
(27,27.25]	8	8	6	10	7	4
(27.25,27.5]	6	6	8	8	7	9
(27.5,27.75]	7	7	7	10	6	7
(27.75,27.85]	6	7	6	10	6	7
(27.85,27.95]	6	6	6	10	5	8
(27.95,28.05]	7	8	6	6	6	8
(28.05,28.1]	6	6	6	8	5	10
(28.1,28.15]	6	7	6	7	6	10
(28.15,28.2]	5	6	7	8	6	10
(28.2, Inf]	8	8	7	9	6	6
total	92.00	96.00	93.00	113.00	96.00	107.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	6	6	7	8	9	8
(26,26.5]	6	6	6	7	10	9
(26.5,26.75]	8	7	7	6	10	6
(26.75,27]	7	7	7	6	10	6
(27,27.25]	7	7	7	10	8	5
(27.25,27.5]	7	7	7	10	6	7
(27.5,27.75]	7	7	7	10	6	7
(27.75,27.85]	6	6	7	9	9	5
(27.85,27.95]	6	7	6	10	6	7
(27.95,28.05]	6	6	8	8	5	8
(28.05,28.1]	6	7	6	7	6	10
(28.1,28.15]	6	6	6	8	5	10
(28.15,28.2]	5	6	7	8	6	10
(28.2, Inf]	7	8	5	8	6	8
total	90.00	93.00	93.00	115.00	102.00	106.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	6	8	10	5	8
(26,26.5]	8	8	7	6	8	7
(26.5,26.75]	6	7	7	6	8	9
(26.75,27]	7	7	7	7	6	8
(27,27.25]	8	8	6	6	5	8
(27.25,27.5]	7	7	6	9	7	7
(27.5,27.75]	6	6	6	10	8	7
(27.75,27.85]	7	6	6	10	6	7
(27.85,27.95]	7	6	6	8	7	9
(27.95,28.05]	7	6	6	7	6	10
(28.05,28.1]	6	6	7	7	7	10
(28.1,28.2]	6	6	7	7	7	10
(28.2,28.3]	6	7	7	6	10	7
(28.3, Inf]	7	6	7	10	8	6
total	94.00	92.00	93.00	109.00	98.00	113.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	6	6	8	10	5	8
(26,26.5]	7	7	8	6	9	7
(26.5,26.75]	6	6	7	5	9	9
(26.75,27]	6	6	7	5	9	9
(27,27.25]	8	8	6	4	7	8
(27.25,27.5]	6	8	5	9	8	7
(27.5,27.75]	7	7	4	10	8	6
(27.75,27.85]	6	6	7	7	7	10
(27.85,27.95]	6	6	7	7	7	10
(27.95,28.05]	7	6	6	7	6	10
(28.05,28.1]	6	6	7	7	7	10
(28.1,28.2]	6	6	7	7	7	10
(28.2,28.3]	7	6	7	7	10	6
(28.3, Inf]	8	6	6	8	10	6
total	92.00	90.00	92.00	99.00	109.00	116.00

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
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

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

Session information

sessionInfo()

R version 4.0.3 (2020-10-10)
Platform: x86_64-pc-linux-gnu (64-bit)
Running under: openSUSE Leap 15.2

Matrix products: default
BLAS:   /usr/local/R-4.0.3/lib64/R/lib/libRblas.so
LAPACK: /usr/local/R-4.0.3/lib64/R/lib/libRlapack.so

locale:
 [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              
 [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    
 [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   
 [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 
 [9] LC_ADDRESS=C               LC_TELEPHONE=C            
[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
 [1] car_3.0-10       carData_3.0-4    gt_0.2.2         corrr_0.4.3     
 [5] broom_0.7.5      kableExtra_1.3.1 knitr_1.30       olsrr_0.5.3     
 [9] GGally_2.0.0     lubridate_1.7.9  ggforce_0.3.3    metR_0.9.0      
[13] scico_1.2.0      patchwork_1.1.1  collapse_1.5.0   forcats_0.5.0   
[17] stringr_1.4.0    dplyr_1.0.5      purrr_0.3.4      readr_1.4.0     
[21] tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3    tidyverse_1.3.0 
[25] workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                magrittr_2.0.1           Matrix_1.2-18           
[43] Rcpp_1.0.5               munsell_0.5.0            fansi_0.4.1             
[46] abind_1.4-5              lifecycle_1.0.0          stringi_1.5.3           
[49] whisker_0.4              yaml_2.2.1               MASS_7.3-53             
[52] plyr_1.8.6               grid_4.0.3               blob_1.2.1              
[55] parallel_4.0.3           promises_1.1.1           crayon_1.3.4            
[58] lattice_0.20-41          haven_2.3.1              hms_0.5.3               
[61] pillar_1.4.7             reprex_0.3.0             glue_1.4.2              
[64] evaluate_0.14            RcppArmadillo_0.10.1.2.2 data.table_1.13.6       
[67] modelr_0.1.8             vctrs_0.3.6              tweenr_1.0.2            
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] polyclip_1.10-0          reshape_0.8.8            assertthat_0.2.1        
[76] openxlsx_4.2.3           xfun_0.20                RcppEigen_0.3.3.9.1     
[79] later_1.1.0.1            viridisLite_0.3.0        ellipsis_0.3.1          
[82] here_1.0.1