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: b9822fc

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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/README
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_444444_256x240.png
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/images/ui-icons_777620_256x240.png
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/index.html
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.js
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/jqueryui-1.11.4/jquery-ui.min.js
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/navigation-1.1/sourceembed.js
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    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.css
    Deleted:    docs_RV_2021_2R_mon_standard/site_libs/tocify-1.9.1/jquery.tocify.js

Note that any generated files, e.g. HTML, png, CSS, etc., are not included in this status report because it is ok for generated content to have uncommitted changes.

---

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

File	Version	Author	Date	Message
html	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.
html	f84b77c	Donghe-Zhu	2021-07-27	Build site.
html	70ad9a5	Donghe-Zhu	2021-07-27	Build site.
html	0d0b48d	Donghe-Zhu	2021-07-27	Build site.
Rmd	376ec48	Donghe-Zhu	2021-07-27	local rebuild
html	d0d97c6	Donghe-Zhu	2021-07-27	Build site.
html	829510d	Donghe-Zhu	2021-07-27	Build site.
html	780627d	Donghe-Zhu	2021-07-27	Build site.
html	e9838c9	Donghe-Zhu	2021-07-27	Build site.
html	2777f33	Donghe-Zhu	2021-07-27	Build site.
html	d19760f	Donghe-Zhu	2021-07-27	Build site.
html	cac5680	Donghe-Zhu	2021-07-23	Build site.
html	7bb279a	Donghe-Zhu	2021-07-23	Build site.
html	d52eac4	Donghe-Zhu	2021-07-23	Build site.
html	dcf34b1	Donghe-Zhu	2021-07-23	Build site.
html	419cb72	Donghe-Zhu	2021-07-22	Build site.
html	9447d10	Donghe-Zhu	2021-07-22	Build site.
html	639c9a0	Donghe-Zhu	2021-07-22	Build site.
html	25bb96f	Donghe-Zhu	2021-07-22	Build site.
html	cdc98a3	Donghe-Zhu	2021-07-22	Build site.
html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
html	b94be4e	Donghe-Zhu	2021-07-21	Build site.
html	9950e70	Donghe-Zhu	2021-07-21	Build site.
html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
Rmd	ec15bf2	Donghe-Zhu	2021-07-20	local rebuild
html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
Rmd	38a8d51	Donghe-Zhu	2021-07-19	local rebuild
html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
html	5d60eac	Donghe-Zhu	2021-07-19	Build site.
html	57d0420	Donghe-Zhu	2021-07-16	Build site.
html	c1be8f6	Donghe-Zhu	2021-07-16	1
html	26a7c15	Donghe-Zhu	2021-07-16	Build site.
html	046902b	Donghe-Zhu	2021-07-16	Build site.
html	3d4ac14	Donghe-Zhu	2021-07-15	Build site.
html	be6fff9	Donghe-Zhu	2021-07-15	Build site.
Rmd	b8bd687	Donghe-Zhu	2021-07-15	local rebuild
html	b473472	Donghe-Zhu	2021-07-15	Build site.
html	363270a	Donghe-Zhu	2021-07-15	Build site.
Rmd	bb00951	Donghe-Zhu	2021-07-15	local rebuild
html	8b75a03	Donghe-Zhu	2021-07-15	Build site.
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html	294f8ca	Donghe-Zhu	2021-07-15	Build site.
html	a01e135	Donghe-Zhu	2021-07-07	Build site.
html	bc83ef2	Donghe-Zhu	2021-07-07	Build site.
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html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
html	697aa6d	Donghe-Zhu	2021-07-06	Build site.
html	d52e2de	Donghe-Zhu	2021-07-06	Build site.
html	f2bde6b	Donghe-Zhu	2021-07-06	Build site.
html	1133f28	Donghe-Zhu	2021-07-06	Build site.
html	fe3a1cd	Donghe-Zhu	2021-07-06	Build site.
html	d9cdf15	Donghe-Zhu	2021-07-06	Build site.
html	ee4cd2d	Donghe-Zhu	2021-07-06	Build site.
html	93821c1	Donghe-Zhu	2021-07-05	Build site.
html	d44db8e	Donghe-Zhu	2021-07-05	Build site.
html	20b3436	Donghe-Zhu	2021-07-05	Build site.
html	d982ea5	Donghe-Zhu	2021-07-05	Build site.
html	7397e53	Donghe-Zhu	2021-07-05	Build site.
html	f2e4805	Donghe-Zhu	2021-07-05	Build site.
html	e2d011a	Donghe-Zhu	2021-07-05	Build site.
html	85e0349	Donghe-Zhu	2021-07-05	Build site.
html	6ee0146	Donghe-Zhu	2021-07-05	Build site.
html	a482a6b	Donghe-Zhu	2021-07-05	Build site.
html	f59f1b3	Donghe-Zhu	2021-07-05	Build site.
html	116bcab	Donghe-Zhu	2021-07-04	Build site.
html	cb1c8dc	Donghe-Zhu	2021-07-04	Build site.
html	c9bdd83	Donghe-Zhu	2021-07-04	Build site.
html	1920ad9	Donghe-Zhu	2021-07-04	Build site.
html	0b02791	Donghe-Zhu	2021-06-25	change random subset files
html	caf62d8	Donghe-Zhu	2021-06-25	Build site.
html	90a9da5	Donghe-Zhu	2021-06-25	Build site.
html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
html	e7a5266	Donghe-Zhu	2021-06-24	Build site.
html	7c57720	Donghe-Zhu	2021-06-24	Build site.
html	b5b95a9	Donghe-Zhu	2021-06-24	Build site.
html	472aad4	Donghe-Zhu	2021-06-24	Build site.
Rmd	76ce72b	Donghe-Zhu	2021-06-24	local rebuild
html	d517836	Donghe-Zhu	2021-06-24	0
html	9221bfe	Donghe-Zhu	2021-06-24	Build site.
html	bff5fbf	Donghe-Zhu	2021-06-23	Build site.
html	256a616	Donghe-Zhu	2021-06-23	Build site.
html	00072e2	Donghe-Zhu	2021-06-23	Build site.
Rmd	71d2509	Donghe-Zhu	2021-06-23	local rebuild
html	61cae2b	Donghe-Zhu	2021-06-20	1
html	d20c383	Donghe-Zhu	2021-06-18	Build site.
html	b0874a2	Donghe-Zhu	2021-06-17	Build site.
html	72c2f2e	Donghe-Zhu	2021-06-15	Build site.
html	d97dcb6	Donghe-Zhu	2021-06-08	1
html	25dda1d	Donghe-Zhu	2021-06-08	Build site.
html	bd2bcc3	Donghe-Zhu	2021-06-08	Build site.
html	e9b27d7	Donghe-Zhu	2021-06-07	Build site.
html	7ae0d4b	Donghe-Zhu	2021-06-07	Build site.
html	325391f	Donghe-Zhu	2021-06-07	Build site.
html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
html	812bf63	Donghe-Zhu	2021-06-06	Build site.
html	65c89c8	Donghe-Zhu	2021-06-06	Build site.
html	9baa3b2	Donghe-Zhu	2021-06-06	debug
html	b7d99cf	Donghe-Zhu	2021-06-06	Build site.
html	5d8fa90	Donghe-Zhu	2021-06-06	Build site.
html	dbe2a95	Donghe-Zhu	2021-05-28	Build site.
html	d50b039	Donghe-Zhu	2021-05-28	Build site.
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html	b8dbce4	Donghe-Zhu	2021-05-28	Build site.
html	94a833e	Donghe-Zhu	2021-05-27	Build site.
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html	4623e38	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	3061a0b	Donghe-Zhu	2021-03-27	Build site.
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html	6c53dbf	Donghe-Zhu	2021-03-25	Build site.
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html	1914a11	Donghe-Zhu	2021-03-24	Build site.
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html	8be810e	Donghe-Zhu	2021-03-23	Build site.
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html	bf19764	Donghe-Zhu	2021-03-22	Build site.
html	3ec9d3d	Donghe-Zhu	2021-03-22	Build site.
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html	134ace1	Donghe-Zhu	2021-03-22	Build site.
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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	b3348a5	Donghe-Zhu	2021-03-11	Build site.
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html	1c24ff7	Donghe-Zhu	2021-03-10	Build site.
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html	db33928	Donghe-Zhu	2021-03-10	Build site.
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Rmd	6125b2d	Donghe-Zhu	2021-03-10	local rebuild
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html	cc2a956	Donghe-Zhu	2021-03-10	Build site.
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Rmd	2be54f9	Donghe-Zhu	2021-03-05	local rebuild
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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:

• temp, aou, nitrate, silicate, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	139	1.9823672	598.6980	75.753980	5.655261	1982-1999 –> 2000-2009	5.629501	3.6471334	1220.383	225.549461	1	6
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	139	2.3411319	644.9413	182.257929	7.349946	1982-1999 –> 2000-2009	5.641483	3.3003506	1244.246	335.686500	9	10
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	139	2.1688484	623.6915	809.760410	7.404321	1982-1999 –> 2000-2009	5.706492	3.5376435	1238.549	968.026172	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	139	2.2440518	633.1676	103.431268	6.137199	1982-1999 –> 2000-2009	5.706625	3.4625729	1243.221	258.707209	4	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	139	2.2454846	631.3450	5.601026	6.359580	1982-1999 –> 2000-2009	5.791768	3.5462838	1244.749	82.399709	6	10
Atlantic	(-Inf,26]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	139	2.3700908	646.3590	11.829130	9.158705	1982-1999 –> 2000-2009	6.017407	3.6473163	1266.055	60.703272	11	18
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	139	2.3913905	648.8462	23.401238	8.790536	1982-1999 –> 2000-2009	6.038629	3.6472388	1268.538	164.742246	12	18
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	139	2.2533265	632.3142	56.486769	6.323439	1982-1999 –> 2000-2009	6.115073	3.8617460	1264.807	66.638596	7	16
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	139	2.2442412	631.1911	6.701106	6.216389	1982-1999 –> 2000-2009	6.207776	3.9635353	1269.512	28.209047	5	19
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	139	2.3519949	644.2283	55.594046	6.740226	1982-1999 –> 2000-2009	6.227093	3.8750976	1277.494	69.257842	10	20
Atlantic	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	95	3.7192311	533.1665	101.737443	10.768434	2000-2009 –> 2010-2019	5.701598	1.9823672	1131.865	177.491423	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	95	3.7724228	535.8646	489.549767	10.997088	2000-2009 –> 2010-2019	5.941271	2.1688484	1159.556	1299.310177	3	6
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	95	3.7587950	535.1770	87.587795	10.875884	2000-2009 –> 2010-2019	6.002847	2.2440518	1168.345	191.019062	2	6
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	95	3.7877043	534.6327	4.662170	10.976361	2000-2009 –> 2010-2019	6.033189	2.2454846	1165.978	10.263195	4	10
Atlantic	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	95	4.0016990	547.0749	238.456639	11.511596	2000-2009 –> 2010-2019	6.342831	2.3411319	1192.016	420.714567	5	14
Atlantic	(-Inf,26]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	95	4.0382006	546.8002	6.580328	11.406109	2000-2009 –> 2010-2019	6.408291	2.3700908	1193.159	18.409458	6	17
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	95	4.2181400	555.0832	14.827280	11.221458	2000-2009 –> 2010-2019	6.471467	2.2533265	1187.397	71.314049	8	15
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	95	4.1364951	551.3696	12.696022	12.085489	2000-2009 –> 2010-2019	6.527886	2.3913905	1200.216	36.097260	7	19
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	95	4.2324079	555.7248	23.339589	11.367384	2000-2009 –> 2010-2019	6.584403	2.3519949	1199.953	78.933635	9	19
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	95	4.2990216	558.6919	103.414741	12.286062	2000-2009 –> 2010-2019	6.736865	2.4378430	1212.886	178.540353	10	23
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	423	4.5460383	2495.4827	88.363911	11.912117	1982-1999 –> 2000-2009	9.051619	4.5055810	6667.774	160.305755	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	423	4.5898223	2503.5917	77.135242	10.877196	1982-1999 –> 2000-2009	9.132610	4.5427875	6687.577	148.243402	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	423	4.6034949	2506.1081	82.269770	10.596452	1982-1999 –> 2000-2009	9.158452	4.5549575	6693.898	153.487186	3	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	423	4.6691567	2516.0898	9.435502	10.295381	1982-1999 –> 2000-2009	9.221625	4.5524680	6701.102	20.758881	4	7
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	423	4.6756379	2517.2633	5.035314	10.024996	1982-1999 –> 2000-2009	9.251667	4.5760293	6709.616	10.793523	5	10
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	423	4.6862968	2519.1897	14.279073	9.821995	1982-1999 –> 2000-2009	9.279518	4.5932214	6716.875	30.237238	8	14
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	423	4.6769867	2519.5073	83.764324	10.066029	1982-1999 –> 2000-2009	9.296402	4.6194153	6727.279	167.993053	6	13
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	423	4.6792004	2517.9076	39.189001	10.676604	1982-1999 –> 2000-2009	9.318492	4.6392913	6729.785	82.987146	7	15
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	423	4.7346159	2527.8679	27.837212	10.186948	1982-1999 –> 2000-2009	9.386140	4.6515240	6743.490	107.808167	9	18
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	9.726985	4.7270728	6812.524	14.777139	12	22
Atlantic	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	434	4.1564664	2482.2481	155.680334	15.662383	2000-2009 –> 2010-2019	8.702505	4.5460383	4977.731	244.044245	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	434	4.1690389	2484.8697	151.887968	15.916747	2000-2009 –> 2010-2019	8.758861	4.5898223	4988.461	229.023210	3	5
Atlantic	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	434	4.1863013	2488.4563	153.623773	15.949130	2000-2009 –> 2010-2019	8.789796	4.6034949	4994.564	235.893542	6	9
Atlantic	(26,26.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	434	4.1863066	2486.4574	8.041034	14.694094	2000-2009 –> 2010-2019	8.855463	4.6691567	5002.547	17.476536	7	11
Atlantic	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	434	4.2133464	2494.0459	151.598375	16.436052	2000-2009 –> 2010-2019	8.890333	4.6769867	5013.553	235.362698	9	15
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	434	4.2189852	2493.2068	5.610470	14.725707	2000-2009 –> 2010-2019	8.894623	4.6756379	5010.470	10.645785	11	16
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	434	4.2284746	2495.1569	10.704732	14.832189	2000-2009 –> 2010-2019	8.914771	4.6862968	5014.347	24.983805	12	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	434	4.2942510	2508.5552	66.180264	15.555608	2000-2009 –> 2010-2019	8.973451	4.6792004	5026.463	105.369265	16	23
Atlantic	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	434	4.2677695	2503.1859	150.473642	15.227623	2000-2009 –> 2010-2019	9.002385	4.7346159	5031.054	178.310854	13	22
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	9.162229	4.9999120	5055.461	13.094669	2	14
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	780	2.9733214	3927.4444	104.172609	9.896869	1982-1999 –> 2000-2009	6.190012	3.2166908	9633.486	124.487669	1	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	780	3.0061970	3944.5984	82.724274	10.039242	1982-1999 –> 2000-2009	6.209611	3.2034143	9641.541	102.558123	2	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	780	3.0749228	3979.8606	92.948565	10.073526	1982-1999 –> 2000-2009	6.249195	3.1742727	9656.698	115.282848	4	6
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	6.444647	3.2813242	9769.884	34.265163	7	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	780	3.0322359	3956.0525	31.238339	9.133355	1982-1999 –> 2000-2009	6.449965	3.4177289	9793.465	50.354706	3	15
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	780	3.3182875	4098.6843	101.534625	9.971449	1982-1999 –> 2000-2009	6.460435	3.1421472	9753.143	242.321194	10	11
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	6.482306	3.3192471	9795.034	6.504281	6	13
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	6.503776	3.3298503	9807.401	9.835261	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	780	3.1331864	4007.1429	25.122322	9.152109	1982-1999 –> 2000-2009	6.539171	3.4059847	9836.983	39.056725	5	16
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	6.573771	3.2363006	9823.089	168.251286	11	16
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	701	4.2120521	4019.3577	102.994513	12.476547	2000-2009 –> 2010-2019	7.185373	2.9733214	7946.802	207.167123	4	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	701	4.1968092	4014.2748	97.550836	12.220974	2000-2009 –> 2010-2019	7.203006	3.0061970	7958.873	180.275110	3	5
Atlantic	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	701	4.1839508	4009.9727	100.441017	12.025487	2000-2009 –> 2010-2019	7.258874	3.0749228	7989.833	193.389582	2	6
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	701	4.2430648	4027.6426	26.565111	12.396746	2000-2009 –> 2010-2019	7.275301	3.0322359	7983.695	57.803450	8	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	701	4.2301510	4023.3691	18.412598	12.036922	2000-2009 –> 2010-2019	7.363337	3.1331864	8030.512	43.534920	6	11
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	701	4.2252966	4021.7592	18.415745	11.795079	2000-2009 –> 2010-2019	7.462372	3.2370756	8079.789	44.048310	5	14
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	7.466231	3.1633229	8069.354	27.514962	10	17
Atlantic	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	701	4.1741003	4006.6680	222.070348	11.535780	2000-2009 –> 2010-2019	7.492388	3.3182875	8105.352	323.604973	1	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	7.497675	3.1630588	8079.517	7.928454	11	17
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	7.514466	3.1739260	8086.782	11.711011	12	20
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1315	2.2340379	5859.8304	200.702908	10.314694	1982-1999 –> 2000-2009	3.917796	1.6837582	13420.301	251.059181	3	6
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1315	2.2120111	5833.7709	191.152917	10.245124	1982-1999 –> 2000-2009	3.945190	1.7331792	13506.776	241.391905	1	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1315	2.2186581	5841.6620	211.848896	10.168117	1982-1999 –> 2000-2009	3.980331	1.7616733	13578.100	262.385055	2	7
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1315	2.4656243	6119.2388	242.009915	22.634667	1982-1999 –> 2000-2009	4.064828	1.5992040	13479.288	434.124760	7	8
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1315	2.3307769	5969.3186	26.485079	15.095064	1982-1999 –> 2000-2009	4.106598	1.7758209	13734.872	58.504643	4	10
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	4.166019	1.8295777	13857.265	10.375978	5	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	4.202275	1.8510526	13919.244	10.468693	6	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	4.203481	1.6835424	13732.518	257.622748	8	10
Atlantic	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1315	2.6465288	6303.4529	5.288978	20.109621	1982-1999 –> 2000-2009	5.347679	2.7011499	15700.530	12.684282	9	19
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1315	3.2640867	6855.0457	121.861954	21.546833	1982-1999 –> 2000-2009	6.051145	2.7870587	16373.915	161.320825	12	23
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1421	2.3357797	6457.6220	108.087407	9.873060	2000-2009 –> 2010-2019	4.547791	2.2120111	12291.393	299.240324	3	4
Atlantic	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1421	2.3176804	6435.5143	109.373439	9.713191	2000-2009 –> 2010-2019	4.551718	2.2340379	12295.345	310.076347	2	5
Atlantic	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1421	2.3710808	6500.2523	111.531915	10.043112	2000-2009 –> 2010-2019	4.589739	2.2186581	12341.914	323.380811	4	6
Atlantic	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1421	2.2724006	6379.4415	203.401740	10.021866	2000-2009 –> 2010-2019	4.738025	2.4656243	12498.680	445.411655	1	8
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + silicate + phosphate	1421	2.8276736	6998.7525	18.328951	16.290196	2000-2009 –> 2010-2019	5.158450	2.3307769	12968.071	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	5.204415	2.3364415	13014.673	8.454098	7	12
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	5.234173	2.3512221	13046.062	8.964561	8	14
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	5.247853	2.5199385	13071.222	240.800352	5	13
Atlantic	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1421	3.2921319	7430.9667	5.071146	20.793492	2000-2009 –> 2010-2019	5.938661	2.6465288	13734.420	10.360124	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1421	3.3884327	7512.9077	70.696669	17.186510	2000-2009 –> 2010-2019	6.619600	3.2311677	14341.295	186.264078	12	23
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1983	2.1228726	8626.9967	189.080212	12.468805	1982-1999 –> 2000-2009	3.828168	1.7052950	18748.051	286.521110	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1983	2.3322368	9000.0293	183.555851	12.555312	1982-1999 –> 2000-2009	4.095658	1.7634208	19294.570	279.015235	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1983	2.3629492	9051.9152	189.459657	13.004555	1982-1999 –> 2000-2009	4.265395	1.9024458	19739.235	290.012756	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1983	2.7339257	9628.2694	180.579156	14.557633	1982-1999 –> 2000-2009	5.116015	2.3820896	21477.350	269.082896	5	13
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1983	2.8066505	9732.3896	169.796870	14.725445	1982-1999 –> 2000-2009	5.146891	2.3402410	21489.730	245.302295	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1983	2.3721200	9065.2778	100.947336	13.363626	1982-1999 –> 2000-2009	5.176952	2.8048320	21759.938	185.344520	4	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1983	3.2572831	10322.9336	17.003372	14.479196	1982-1999 –> 2000-2009	5.247344	1.9900611	21241.303	33.914690	11	15
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1983	2.8697205	9820.5254	179.686891	15.224786	1982-1999 –> 2000-2009	5.265016	2.3952953	21698.221	260.344650	8	17
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1983	2.8038401	9730.4164	340.879891	14.409058	1982-1999 –> 2000-2009	5.269720	2.4658799	21760.434	601.673184	6	16
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1983	3.2724745	10341.3874	16.670971	14.470688	1982-1999 –> 2000-2009	5.281336	2.0088615	21308.426	33.075411	12	17
Atlantic	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	1930	2.2141728	8559.3353	240.639088	8.075055	2000-2009 –> 2010-2019	4.337045	2.1228726	17186.332	429.719300	1	2
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	1930	2.3889954	8852.6723	212.748359	7.993341	2000-2009 –> 2010-2019	4.721232	2.3322368	17852.702	396.304210	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	1930	2.3999168	8870.2783	228.196471	8.137567	2000-2009 –> 2010-2019	4.762866	2.3629492	17922.194	417.656129	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1930	2.4015552	8870.9126	127.240197	8.164388	2000-2009 –> 2010-2019	4.773675	2.3721200	17936.190	228.187533	4	8
Atlantic	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	1930	2.7304037	9368.2778	309.300056	10.016099	2000-2009 –> 2010-2019	5.534244	2.8038401	19098.694	650.179946	5	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	1930	2.8400905	9518.3094	196.490282	16.433576	2000-2009 –> 2010-2019	5.574016	2.7339257	19146.579	377.069437	6	11
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	1930	2.9507020	9665.7892	166.992347	13.281969	2000-2009 –> 2010-2019	5.757352	2.8066505	19398.179	336.789217	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	1930	2.9850501	9710.4626	188.417925	14.047299	2000-2009 –> 2010-2019	5.854771	2.8697205	19530.988	368.104815	8	16
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1930	3.0833118	9833.4793	15.217151	21.813171	2000-2009 –> 2010-2019	6.191079	3.1077676	19968.055	33.026931	9	18
Atlantic	(27,27.25]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1930	3.1847672	9960.4464	15.545665	18.080146	2000-2009 –> 2010-2019	6.442050	3.2572831	20283.380	32.549037	10	21
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3406	3.0019217	17167.9183	274.198886	12.519342	1982-1999 –> 2000-2009	4.985810	1.9838879	35028.021	690.184823	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3406	3.3317864	17878.1100	189.993031	9.171623	1982-1999 –> 2000-2009	5.446082	2.1142955	36278.204	449.659991	3	5
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3406	3.3108723	17835.2154	277.073298	9.703902	1982-1999 –> 2000-2009	5.532817	2.2219447	36656.535	714.345891	2	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3406	3.3996130	18013.3921	253.475451	15.432617	1982-1999 –> 2000-2009	5.676789	2.2771761	37040.973	653.841327	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3406	3.3345040	17881.6639	47.191564	9.135842	1982-1999 –> 2000-2009	5.712351	2.3778468	37276.170	121.369552	4	10
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3406	3.6378382	18474.7552	185.979128	12.048344	1982-1999 –> 2000-2009	5.991453	2.3536146	37782.379	444.722321	6	11
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3406	3.7586015	18697.2171	236.696728	12.358362	1982-1999 –> 2000-2009	6.250766	2.4921647	38490.006	588.837939	7	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3406	4.0305799	19173.1261	18.940891	14.353136	1982-1999 –> 2000-2009	6.660313	2.6297326	39421.657	43.899230	10	21
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	6.661495	2.5481904	39292.881	51.969651	11	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	6.669047	2.5546399	39316.148	45.488313	12	22
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2964	3.3878258	15658.7442	409.871249	10.282605	2000-2009 –> 2010-2019	6.389748	3.0019217	32826.663	684.070135	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2964	3.5283535	15899.6758	372.148709	11.172893	2000-2009 –> 2010-2019	6.839226	3.3108723	33734.891	649.222007	2	4
Atlantic	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2964	3.5541917	15942.9284	265.914461	11.286379	2000-2009 –> 2010-2019	6.885978	3.3317864	33821.038	455.907492	3	6
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2964	3.5600333	15950.6636	40.341707	11.219288	2000-2009 –> 2010-2019	6.894537	3.3345040	33832.328	87.533270	4	8
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2964	3.9967379	16636.5843	370.124135	13.382025	2000-2009 –> 2010-2019	7.396351	3.3996130	34649.976	623.599586	7	12
Atlantic	(27.25,27.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2964	3.7610736	16278.3156	877.612523	12.933276	2000-2009 –> 2010-2019	7.481428	3.7203548	34907.860	1492.833870	5	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2964	4.0495648	16714.4243	257.699964	13.856771	2000-2009 –> 2010-2019	7.687403	3.6378382	35189.180	443.679091	8	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	2964	3.9541400	16573.0635	48.461797	13.034089	2000-2009 –> 2010-2019	7.785425	3.8312852	35400.753	102.966315	6	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2964	4.0805857	16759.6615	334.734766	14.271589	2000-2009 –> 2010-2019	7.839187	3.7586015	35456.879	571.431495	9	17
Atlantic	(27.25,27.5]	3	cstar_tref ~ temp + aou + nitrate	2964	4.1615640	16874.1492	6.377245	15.012064	2000-2009 –> 2010-2019	8.007312	3.8457476	35725.505	14.609946	10	20
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6996	3.3018245	36580.8847	346.295449	18.063162	1982-1999 –> 2000-2009	5.455387	2.1535628	78436.114	892.840049	1	2
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6996	3.3021607	36582.3095	608.415145	18.254170	1982-1999 –> 2000-2009	5.460642	2.1584816	78481.205	1554.960816	2	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	6996	3.3036595	36586.6586	29.495312	18.955776	1982-1999 –> 2000-2009	5.517677	2.2140180	78969.786	77.957928	3	6
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6996	3.4061630	37014.1936	496.046031	17.011015	1982-1999 –> 2000-2009	5.654320	2.2481570	79690.197	1264.889649	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6996	3.4155433	37052.6733	328.973419	16.766053	1982-1999 –> 2000-2009	5.676616	2.2610726	79838.321	847.364687	5	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6996	3.4288848	37107.2212	69.643858	18.235557	1982-1999 –> 2000-2009	5.710161	2.2812766	80063.137	193.396051	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6996	3.4489807	37188.9857	592.436376	14.598426	1982-1999 –> 2000-2009	5.743083	2.2941022	80252.207	1501.581067	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	6996	3.4609612	37235.5045	32.926767	18.830208	1982-1999 –> 2000-2009	5.773951	2.3129901	80453.665	89.350000	8	17
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	6996	3.5026701	37405.1177	31.743869	13.959681	1982-1999 –> 2000-2009	5.799480	2.2968101	80490.918	83.889566	10	18
Atlantic	(27.5,27.75]	3	cstar_tref ~ temp + aou + phosphate	6996	3.5321221	37520.2766	3.193475	13.380536	1982-1999 –> 2000-2009	5.859236	2.3271141	80854.957	8.283111	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5739	3.7886562	31589.4032	676.061125	16.521489	2000-2009 –> 2010-2019	7.090817	3.3021607	68171.713	1284.476269	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5739	3.7917769	31598.8538	396.078220	16.804017	2000-2009 –> 2010-2019	7.093601	3.3018245	68179.739	742.373670	2	3
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	5739	3.7928525	31600.1090	25.197874	17.553175	2000-2009 –> 2010-2019	7.096512	3.3036595	68186.768	54.693186	3	6
Atlantic	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5739	3.8358937	31731.6276	764.950789	17.758754	2000-2009 –> 2010-2019	7.150424	3.3145306	68366.253	1456.706195	5	9
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	5739	3.8120203	31657.9690	68.483267	17.070096	2000-2009 –> 2010-2019	7.240905	3.4288848	68765.190	138.127125	4	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5739	3.9597852	32094.4829	988.153695	18.104742	2000-2009 –> 2010-2019	7.387070	3.4272845	69195.172	1846.130195	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ aou + phosphate + phosphate_star	5739	3.9605330	32094.6502	47.789285	17.728021	2000-2009 –> 2010-2019	7.421494	3.4609612	69330.155	80.716052	8	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	5739	3.9439057	32048.3612	27.319222	19.956966	2000-2009 –> 2010-2019	7.446576	3.5026701	69453.479	59.063091	6	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5739	4.0498904	32352.7382	535.228903	14.668682	2000-2009 –> 2010-2019	7.456053	3.4061630	69366.932	1031.274934	10	15
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5739	4.1001193	32494.2189	370.657113	14.398520	2000-2009 –> 2010-2019	7.515663	3.4155433	69546.892	699.630532	14	20
Atlantic	(27.75,27.85]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2607	1.7735171	10397.7831	212.551425	14.285414	1982-1999 –> 2000-2009	2.938712	1.1651953	21289.971	464.883544	1	2
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	2607	1.9067990	10773.5963	211.203305	13.369620	1982-1999 –> 2000-2009	3.109921	1.2031218	21885.503	458.557272	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2607	1.9114266	10788.2347	27.037110	14.530145	1982-1999 –> 2000-2009	3.191467	1.2800407	22331.113	69.985850	3	6
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2607	1.9747652	10958.2093	25.137872	14.645510	1982-1999 –> 2000-2009	3.320471	1.3457061	22847.374	54.997256	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2607	1.9780758	10966.9430	20.506010	14.670682	1982-1999 –> 2000-2009	3.324301	1.3462252	22858.778	44.916904	5	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2607	1.9793099	10970.1950	24.349382	14.715757	1982-1999 –> 2000-2009	3.326000	1.3466901	22864.419	53.605159	6	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + silicate + phosphate_star	2607	2.0057248	11037.3182	19.373235	15.015513	1982-1999 –> 2000-2009	3.353461	1.3477364	22934.919	43.630454	7	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2607	2.0560951	11166.6417	4.337234	13.539147	1982-1999 –> 2000-2009	3.377632	1.3215368	22928.355	9.885329	9	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2607	2.0296011	11101.0195	23.935071	15.543265	1982-1999 –> 2000-2009	3.480618	1.4510171	23511.728	62.575477	8	21
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	2607	2.1337077	11359.8336	18.519009	13.597236	1982-1999 –> 2000-2009	3.527810	1.3941026	23491.567	34.854953	10	19
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	3.664805	1.7735171	19378.912	518.118722	1	2
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2181	2.0118890	9250.7711	19.254340	7.920440	2000-2009 –> 2010-2019	3.923316	1.9114266	20039.006	46.291449	2	5
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2181	2.0603788	9354.6553	26.114772	8.110304	2000-2009 –> 2010-2019	4.035144	1.9747652	20312.865	51.252644	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2181	2.0640821	9362.4886	17.174205	8.116261	2000-2009 –> 2010-2019	4.042158	1.9780758	20329.432	37.680215	4	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2181	2.0696001	9374.1341	24.751242	8.145821	2000-2009 –> 2010-2019	4.048910	1.9793099	20344.329	49.100624	5	11
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + silicate + phosphate_star	2181	2.1230333	9483.3235	16.582286	7.894811	2000-2009 –> 2010-2019	4.128758	2.0057248	20520.642	35.955521	6	13
Atlantic	(27.75,27.85]	3	cstar_tref ~ aou + phosphate + phosphate_star	2181	2.2766435	9788.0370	305.561347	6.626735	2000-2009 –> 2010-2019	4.183442	1.9067990	20561.633	516.764652	8	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	2181	2.1651228	9570.9549	16.750888	8.804978	2000-2009 –> 2010-2019	4.194724	2.0296011	20671.974	40.685958	7	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2181	2.4554063	10117.7607	4.853584	7.355022	2000-2009 –> 2010-2019	4.511501	2.0560951	21284.402	9.190818	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + phosphate + phosphate_star	2181	2.5367171	10259.8682	23.705729	7.606229	2000-2009 –> 2010-2019	4.670425	2.1337077	21619.702	42.224738	11	21
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2606	2.6013182	12390.2750	416.629980	27.378150	1982-1999 –> 2000-2009	3.764502	1.1631838	23584.523	893.272169	1	2
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	2606	2.6024698	12390.5819	401.356639	27.320625	1982-1999 –> 2000-2009	3.766018	1.1635488	23585.064	869.086402	2	4
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	2606	2.6723954	12530.7745	23.240658	27.766861	1982-1999 –> 2000-2009	3.948149	1.2757533	24382.924	61.302708	3	6
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	2606	2.6786528	12540.9640	8.428923	27.626710	1982-1999 –> 2000-2009	3.956306	1.2776534	24401.713	19.439156	4	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2606	2.7122430	12607.9161	56.482834	27.943589	1982-1999 –> 2000-2009	4.061197	1.3489542	24857.422	101.807060	5	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2606	2.7172446	12617.5186	21.058386	27.982219	1982-1999 –> 2000-2009	4.066548	1.3493034	24868.868	42.625078	6	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	2606	2.7232454	12627.0161	56.462529	27.757057	1982-1999 –> 2000-2009	4.077171	1.3539251	24900.718	94.481310	7	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	2606	2.7305797	12641.0343	7.587476	27.783918	1982-1999 –> 2000-2009	4.085321	1.3547413	24919.028	13.897782	8	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2606	2.7364003	12654.1325	53.052242	28.126917	1982-1999 –> 2000-2009	4.085754	1.3493534	24905.745	97.086023	9	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + silicate + phosphate_star	2606	2.7573314	12691.8480	20.205756	28.270839	1982-1999 –> 2000-2009	4.106774	1.3494421	24941.930	40.874612	10	18
Atlantic	(27.85,27.95]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	2157	1.9965772	9116.1484	540.065345	13.483780	2000-2009 –> 2010-2019	4.597895	2.6013182	21506.423	956.695324	1	2
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate	2157	2.0551806	9240.9500	20.312613	11.696855	2000-2009 –> 2010-2019	4.727576	2.6723954	21771.725	43.553271	2	5
Atlantic	(27.85,27.95]	3	cstar_tref ~ aou + phosphate + phosphate_star	2157	2.1492176	9431.9590	518.272928	10.902328	2000-2009 –> 2010-2019	4.751687	2.6024698	21822.541	919.629568	6	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2157	2.0858694	9304.8922	57.066859	11.873656	2000-2009 –> 2010-2019	4.798113	2.7122430	21912.808	113.549693	3	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2157	2.0901919	9313.8226	18.757236	11.886553	2000-2009 –> 2010-2019	4.807436	2.7172446	21931.341	39.815621	4	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2157	2.1092291	9352.9363	53.560852	11.963987	2000-2009 –> 2010-2019	4.845630	2.7364003	22007.069	106.613095	5	14
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + silicate + phosphate_star	2157	2.1640908	9461.7102	18.741087	11.606799	2000-2009 –> 2010-2019	4.921422	2.7573314	22153.558	38.946843	7	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate	2157	2.2515400	9632.6054	9.875817	11.030838	2000-2009 –> 2010-2019	4.930193	2.6786528	22173.569	18.304740	8	12
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + phosphate + phosphate_star	2157	2.3022581	9728.7040	56.713240	11.183761	2000-2009 –> 2010-2019	5.025504	2.7232454	22355.720	113.175769	9	16
Atlantic	(27.85,27.95]	3	cstar_tref ~ temp + aou + phosphate_star	2157	2.3168177	9755.9003	9.776061	11.188593	2000-2009 –> 2010-2019	5.047397	2.7305797	22396.935	17.363538	11	19
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	5.832600	2.3693691	35313.569	901.730539	1	3
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	5.885735	2.3728057	35404.095	852.099383	2	5
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	6.154293	2.4131655	35917.394	54.322787	3	8
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	2871	3.8262006	15862.5758	14.459073	57.022260	1982-1999 –> 2000-2009	6.255572	2.4293718	36101.206	29.866009	4	10
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2871	3.8858079	15953.3392	81.662400	50.108668	1982-1999 –> 2000-2009	6.336063	2.4502548	36269.034	146.149818	5	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2871	3.9866660	16100.4744	74.054986	59.867539	1982-1999 –> 2000-2009	6.338423	2.3517573	36056.344	132.087288	8	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2871	3.9259456	16012.3458	21.961280	54.202295	1982-1999 –> 2000-2009	6.369621	2.4436758	36304.461	38.894167	6	13
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	2871	4.0256912	16154.4091	73.604873	65.045409	1982-1999 –> 2000-2009	6.403503	2.3778120	36204.905	129.896624	11	15
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	2871	3.9811918	16090.5845	81.378329	60.092289	1982-1999 –> 2000-2009	6.460764	2.4795723	36508.591	145.847738	7	17
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	2871	4.0031544	16122.1736	11.668136	62.700249	1982-1999 –> 2000-2009	6.475410	2.4722552	36514.262	21.353824	9	18
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	6.442892	3.4632310	27852.987	1299.367095	2	3
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	6.518090	3.5129297	27973.391	1196.742994	3	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate	2499	3.0117506	12614.2572	31.293183	21.452831	2000-2009 –> 2010-2019	6.752878	3.7411270	28349.722	58.200621	4	7
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate	2499	3.0693774	12706.9855	25.609556	21.610524	2000-2009 –> 2010-2019	6.895578	3.8262006	28569.561	40.068629	8	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2499	3.0358071	12654.0204	143.104766	21.426219	2000-2009 –> 2010-2019	6.921615	3.8858079	28607.360	224.767166	6	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2499	2.9478520	12507.0765	119.658705	20.100546	2000-2009 –> 2010-2019	6.934518	3.9866660	28607.551	193.713691	1	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2499	3.0321516	12647.9985	27.413490	21.401688	2000-2009 –> 2010-2019	6.958097	3.9259456	28660.344	49.374770	5	11
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	2499	3.0621576	12695.2153	117.484574	20.420128	2000-2009 –> 2010-2019	7.087849	4.0256912	28849.624	191.089447	7	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	2499	3.1110082	12774.3192	128.340196	21.659404	2000-2009 –> 2010-2019	7.092200	3.9811918	28864.904	209.718525	11	18
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + silicate + phosphate_star	2499	3.0908039	12741.7540	23.987299	22.512414	2000-2009 –> 2010-2019	7.108122	4.0173181	28884.208	45.481375	9	19
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	1.209575	0.5040389	7058.254	120.153175	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1599	0.7065714	3437.0007	52.371693	4.027819	1982-1999 –> 2000-2009	1.210957	0.5043859	7062.332	113.478702	2	4
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	1599	0.7433237	3601.1627	228.880236	4.276154	1982-1999 –> 2000-2009	1.287579	0.5442554	7602.946	508.402963	3	9
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1599	0.7464476	3614.5748	45.097028	4.328868	1982-1999 –> 2000-2009	1.289166	0.5427180	7602.434	86.340135	5	9
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	1599	0.7433875	3599.4373	198.376088	4.266333	1982-1999 –> 2000-2009	1.291376	0.5479886	7632.866	402.388580	4	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1599	0.7543513	3648.2585	196.604113	4.393570	1982-1999 –> 2000-2009	1.292150	0.5377982	7591.296	422.930886	7	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	1599	0.7464484	3612.5780	40.291141	4.330055	1982-1999 –> 2000-2009	1.293680	0.5472321	7639.207	81.417111	6	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	1599	0.7566308	3655.9078	189.890459	4.493773	1982-1999 –> 2000-2009	1.299438	0.5428076	7642.580	394.039394	8	13
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	1599	0.7702218	3712.8421	38.130565	4.831178	1982-1999 –> 2000-2009	1.320013	0.5497908	7762.432	59.105074	9	18
Atlantic	(28.05,28.1]	2	cstar_tref ~ temp + phosphate_star	1599	0.7902025	3792.7449	8.789400	5.532940	1982-1999 –> 2000-2009	1.340124	0.5499216	7841.505	14.233126	10	20
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	1.513062	0.7055356	6702.648	163.741477	1	2
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	1351	0.8086319	3270.0362	104.325911	2.725753	2000-2009 –> 2010-2019	1.515203	0.7065714	6707.037	156.697604	2	4
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	1.583857	0.7433237	6977.746	656.765431	3	6
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	1351	0.8435130	3384.1458	347.212386	2.928493	2000-2009 –> 2010-2019	1.586901	0.7433875	6983.583	545.588474	4	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	1351	0.8445617	3389.5029	77.853839	2.728603	2000-2009 –> 2010-2019	1.591009	0.7464476	7004.078	122.950868	5	10
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	1351	0.8490614	3401.8605	77.638255	2.966709	2000-2009 –> 2010-2019	1.595510	0.7464484	7014.438	117.929396	6	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	1351	0.8543911	3420.7684	369.284154	2.770824	2000-2009 –> 2010-2019	1.608742	0.7543513	7069.027	565.888268	7	14
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + nitrate + phosphate_star	1351	0.8727912	3476.3407	352.502682	3.081878	2000-2009 –> 2010-2019	1.629422	0.7566308	7132.248	542.393140	9	17
Atlantic	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	1351	0.8696283	3466.5312	43.133794	3.217883	2000-2009 –> 2010-2019	1.639850	0.7702218	7179.373	81.264359	8	17
Atlantic	(28.05,28.1]	2	cstar_tref ~ temp + phosphate_star	1351	0.9207458	3618.8643	8.404796	3.736381	2000-2009 –> 2010-2019	1.710948	0.7902025	7411.609	17.194196	10	20
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	1.037158	0.4565736	8719.227	191.559510	1	2
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2609	0.5830823	4599.2920	88.947206	3.685560	1982-1999 –> 2000-2009	1.059428	0.4763454	9013.269	174.381591	2	4
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	1.098550	0.4893126	9420.863	537.234831	3	6
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2609	0.6116752	4851.0934	66.235079	3.836638	1982-1999 –> 2000-2009	1.103237	0.4915618	9471.522	121.231060	5	9
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2609	0.6153237	4882.1251	211.342374	3.838668	1982-1999 –> 2000-2009	1.110794	0.4954702	9554.047	431.135992	7	12
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	2609	0.6101133	4835.7521	240.319485	3.822717	1982-1999 –> 2000-2009	1.111185	0.5010715	9578.766	461.236292	4	11
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate_star	2609	0.6121800	4853.3980	56.836560	3.837274	1982-1999 –> 2000-2009	1.113983	0.5018033	9605.902	110.873230	6	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	2609	0.6156927	4883.2533	210.895440	3.840260	1982-1999 –> 2000-2009	1.116634	0.5009413	9624.578	422.822083	8	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + silicate + phosphate_star	2609	0.6328634	5026.7829	58.684019	5.329977	1982-1999 –> 2000-2009	1.139635	0.5067718	9843.347	98.193860	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ temp + phosphate_star	2609	0.6429607	5107.3785	14.810472	5.620350	1982-1999 –> 2000-2009	1.150090	0.5071293	9926.528	25.652605	10	20
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	1.300317	0.5805845	9053.611	246.782863	1	2
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate	2047	0.7197807	4472.9915	141.460189	3.981192	2000-2009 –> 2010-2019	1.302863	0.5830823	9072.284	230.407395	2	4
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	2047	0.7518346	4653.3663	428.603252	3.948318	2000-2009 –> 2010-2019	1.361072	0.6092371	9483.620	692.320424	3	6
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + phosphate + phosphate_star	2047	0.7519436	4651.9595	356.658248	3.956631	2000-2009 –> 2010-2019	1.362057	0.6101133	9487.712	596.977733	4	8
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2047	0.7543666	4667.1308	88.013994	4.014793	2000-2009 –> 2010-2019	1.366042	0.6116752	9518.224	154.249073	5	10
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + phosphate_star	2047	0.7548024	4667.4951	87.590028	4.034397	2000-2009 –> 2010-2019	1.366982	0.6121800	9520.893	144.426588	6	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2047	0.7567842	4680.2301	342.657935	4.049358	2000-2009 –> 2010-2019	1.372108	0.6153237	9562.355	554.000309	7	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + nitrate + phosphate_star	2047	0.7607609	4699.6866	337.860890	4.212174	2000-2009 –> 2010-2019	1.376454	0.6156927	9582.940	548.756330	8	16
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + silicate + phosphate_star	2047	0.7634544	4714.1560	50.320597	4.479773	2000-2009 –> 2010-2019	1.396318	0.6328634	9740.939	109.004616	9	18
Atlantic	(28.1,28.15]	2	cstar_tref ~ temp + phosphate_star	2047	0.7760810	4779.3120	9.826593	5.116358	2000-2009 –> 2010-2019	1.419042	0.6429607	9886.691	24.637064	10	20
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	4360	0.6396971	8489.3918	125.152430	3.908683	1982-1999 –> 2000-2009	1.197034	0.5573373	18577.050	232.567829	1	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4360	0.6618333	8786.0379	462.810466	4.347096	1982-1999 –> 2000-2009	1.213240	0.5514064	18744.500	724.647849	2	3
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4360	0.6698586	8891.1390	477.100354	4.360210	1982-1999 –> 2000-2009	1.230423	0.5605645	19048.520	747.126398	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4360	0.6850801	9087.0703	656.177853	4.286674	1982-1999 –> 2000-2009	1.261870	0.5767903	19589.032	1073.713378	4	8
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4360	0.7725125	10134.4504	158.491635	6.416096	1982-1999 –> 2000-2009	1.473968	0.7014553	22999.426	316.309133	6	11
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	4360	0.7615797	10008.1611	116.946021	5.415119	1982-1999 –> 2000-2009	1.486913	0.7253328	23275.361	222.685969	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	4360	0.8663200	11133.8162	919.395938	9.925477	1982-1999 –> 2000-2009	1.636276	0.7699558	25123.983	1413.734494	11	18
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	1.670757	0.8237015	25742.712	321.651212	7	15
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	4360	0.8507445	10973.6136	122.173695	9.298768	1982-1999 –> 2000-2009	1.681428	0.8306833	25878.536	226.868388	8	17
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	1.689122	0.8318500	25966.133	388.327100	9	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	3862	0.6592283	7753.4033	161.139605	3.030740	2000-2009 –> 2010-2019	1.298925	0.6396971	16242.795	286.292035	1	2
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3862	0.6796866	7989.4635	292.738977	3.270957	2000-2009 –> 2010-2019	1.341520	0.6618333	16775.501	755.549443	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3862	0.6867743	8069.5916	299.124646	3.297092	2000-2009 –> 2010-2019	1.356633	0.6698586	16960.731	776.225000	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3862	0.7026580	8246.1974	612.901469	3.393337	2000-2009 –> 2010-2019	1.387738	0.6850801	17333.268	1269.079322	4	8
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + aou + nitrate	3862	0.7828677	9079.1113	161.072125	3.093810	2000-2009 –> 2010-2019	1.544447	0.7615797	19087.272	278.018146	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3862	0.7971125	9220.3908	237.848150	3.527916	2000-2009 –> 2010-2019	1.569625	0.7725125	19354.841	396.339785	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	3862	0.8208099	9446.6713	776.469573	2.732897	2000-2009 –> 2010-2019	1.687130	0.8663200	20580.488	1695.865511	7	18
Atlantic	(28.15,28.2]	3	cstar_tref ~ temp + nitrate + phosphate_star	3862	0.8652730	9852.1397	113.158169	3.215791	2000-2009 –> 2010-2019	1.716017	0.8507445	20825.753	235.331864	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	1.728343	0.8470551	20933.504	382.329274	9	16
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	1.748811	0.8572717	21127.381	500.424398	10	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7165	0.8834011	18570.8146	863.173993	11.313963	1982-1999 –> 2000-2009	1.564476	0.6810746	38681.701	1723.737442	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	7165	0.8888089	18656.2681	144.839696	12.260879	1982-1999 –> 2000-2009	1.570232	0.6814229	38775.084	389.266812	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	7165	0.8984615	18811.0560	14.421907	10.134355	1982-1999 –> 2000-2009	1.632276	0.7338146	40368.373	40.675718	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	7165	0.9614204	19781.5962	34.309979	9.103809	1982-1999 –> 2000-2009	1.868117	0.9066965	45447.241	84.007501	4	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	7165	1.0355232	20845.6043	142.889426	6.547434	1982-1999 –> 2000-2009	1.889214	0.8536905	45341.407	375.666111	9	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7165	1.0471154	21005.1298	97.765256	6.718779	1982-1999 –> 2000-2009	1.915261	0.8681461	45827.021	199.909671	10	15
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	1.921559	0.9340997	46408.424	563.385490	5	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	7165	0.9942673	20263.0036	17.745929	8.328812	1982-1999 –> 2000-2009	1.937133	0.9428655	46688.279	52.647349	6	18
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7165	1.0577938	21150.5259	166.072284	6.810501	1982-1999 –> 2000-2009	1.945444	0.8876504	46403.888	318.628282	12	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7165	1.0672945	21278.6582	102.539070	6.771584	1982-1999 –> 2000-2009	1.950808	0.8835137	46441.307	207.224746	13	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6247	0.7576358	14274.4775	647.650237	5.491797	2000-2009 –> 2010-2019	1.641037	0.8834011	32845.292	1510.824230	1	2
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6247	0.7578628	14276.2196	449.451312	5.439801	2000-2009 –> 2010-2019	1.646672	0.8888089	32932.488	594.291008	2	4
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6247	0.8054434	15036.9874	89.749266	6.644567	2000-2009 –> 2010-2019	1.703905	0.8984615	33848.043	104.171172	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6247	0.9964570	17695.8726	145.127570	7.178181	2000-2009 –> 2010-2019	1.957877	0.9614204	37477.469	179.437548	9	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6247	0.9412957	16984.3572	546.611180	8.030246	2000-2009 –> 2010-2019	1.976819	1.0355232	37829.961	689.500606	5	13
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6247	0.9557107	17174.2397	181.002634	8.249168	2000-2009 –> 2010-2019	2.002826	1.0471154	38179.369	278.767891	6	15
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + silicate + phosphate	6247	1.0314725	18127.3743	124.083776	7.854070	2000-2009 –> 2010-2019	2.025740	0.9942673	38390.378	141.829705	12	17
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6247	0.9725837	17392.8955	321.661453	8.418664	2000-2009 –> 2010-2019	2.030378	1.0577938	38543.421	487.733737	8	19
Atlantic	(28.2, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6247	0.9666255	17316.1200	181.997497	8.396683	2000-2009 –> 2010-2019	2.033920	1.0672945	38594.778	284.536567	7	19
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	2.041643	1.0005198	38596.567	191.622224	14	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3097	7.3846973	21187.2504	21.697720	35.366359	1982-1999 –> 2000-2009	15.137388	7.7526911	35970.579	39.091709	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3097	7.4779605	21264.9861	17.537021	30.336602	1982-1999 –> 2000-2009	15.399631	7.9216708	36140.169	31.697201	2	5
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3097	7.8357855	21552.5001	9.650826	26.768281	1982-1999 –> 2000-2009	15.712218	7.8764321	36401.286	16.035243	4	6
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3097	7.5607250	21333.1634	27.121373	30.741801	1982-1999 –> 2000-2009	15.774320	8.2135950	36362.510	57.451699	3	8
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	3097	7.8570307	21569.2711	7.152611	27.228549	1982-1999 –> 2000-2009	15.846446	7.9894150	36478.730	12.387889	5	9
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	3097	7.9265080	21623.8020	19.415644	28.096257	1982-1999 –> 2000-2009	16.205087	8.2785792	36684.720	42.547584	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	3097	7.9696841	21657.4495	13.079537	56.430147	1982-1999 –> 2000-2009	17.514545	9.5448613	37324.700	24.290519	7	17
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3097	8.1405646	21790.8533	89.910818	28.532262	1982-1999 –> 2000-2009	17.521421	9.3808560	37386.270	186.632572	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3097	8.5442494	22088.6363	8.026784	28.556280	1982-1999 –> 2000-2009	17.661596	9.1173465	37560.676	13.735885	13	20
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	3097	8.3320926	21932.8953	89.080250	30.528312	1982-1999 –> 2000-2009	17.713798	9.3817053	37526.698	185.617604	11	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4002	6.3521456	26168.9203	23.915682	39.207294	2000-2009 –> 2010-2019	13.736843	7.3846973	47356.171	45.613402	1	2
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4002	6.3686499	26189.6896	16.679217	35.323454	2000-2009 –> 2010-2019	13.846610	7.4779605	47454.676	34.216237	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4002	6.3937770	26221.2067	28.936446	33.822707	2000-2009 –> 2010-2019	13.954502	7.5607250	47554.370	56.057819	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	4002	6.5929459	26464.7303	9.154620	32.021031	2000-2009 –> 2010-2019	14.449977	7.8570307	48034.001	16.307232	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4002	6.6190816	26496.3969	9.011251	31.337684	2000-2009 –> 2010-2019	14.454867	7.8357855	48048.897	18.662077	6	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + silicate + phosphate	4002	6.5791447	26447.9576	23.694234	32.895638	2000-2009 –> 2010-2019	14.505653	7.9265080	48071.760	43.109879	4	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	4002	6.6947218	26587.3447	14.432693	52.275153	2000-2009 –> 2010-2019	14.664406	7.9696841	48244.794	27.512230	8	15
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4002	6.6590761	26546.6140	94.256324	34.103415	2000-2009 –> 2010-2019	14.799641	8.1405646	48337.467	184.167142	7	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4002	6.8099631	26723.9511	20.428041	46.189378	2000-2009 –> 2010-2019	15.031292	8.2213294	48573.954	40.290291	10	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	4002	6.7152960	26611.9048	93.048900	35.362632	2000-2009 –> 2010-2019	15.047389	8.3320926	48544.800	182.129149	9	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3001	4.3084780	17296.8985	59.398627	13.693158	1982-1999 –> 2000-2009	8.305272	3.9967936	35158.297	107.773827	3	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3001	4.2927554	17274.9558	19.891025	14.473833	1982-1999 –> 2000-2009	8.361309	4.0685534	35249.602	31.000952	1	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3001	4.3022291	17288.1870	28.213216	14.632723	1982-1999 –> 2000-2009	8.404321	4.1020922	35315.080	44.218096	2	6
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3001	4.5051887	17564.8581	296.731627	13.904560	1982-1999 –> 2000-2009	8.526412	4.0212235	35465.038	603.323325	4	6
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	9.045208	4.4360396	36222.779	104.608358	5	11
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	9.071772	4.3766512	36247.901	560.475646	8	13
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	9.192227	4.5344930	36425.388	30.233554	6	13
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	9.235266	4.5610418	36483.753	39.543774	7	15
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3001	4.9423624	18118.7254	59.023935	15.976467	1982-1999 –> 2000-2009	9.538825	4.5964621	36867.776	104.303379	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3001	5.0207061	18213.1197	295.659940	16.052605	1982-1999 –> 2000-2009	9.630951	4.6102452	36981.225	602.095029	12	22
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3089	3.8707409	17141.7912	62.960235	15.367288	2000-2009 –> 2010-2019	8.179219	4.3084780	34438.690	122.358862	1	4
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3089	3.8988159	17186.4394	15.253295	15.919569	2000-2009 –> 2010-2019	8.191571	4.2927554	34461.395	35.144320	2	3
Indo-Pacific	(26,26.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3089	3.9229666	17224.5901	20.723908	16.254620	2000-2009 –> 2010-2019	8.225196	4.3022291	34512.777	48.937124	3	5
Indo-Pacific	(26,26.5]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3089	4.0243423	17382.2116	334.809188	29.216987	2000-2009 –> 2010-2019	8.529531	4.5051887	34947.070	631.540816	4	8
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	8.651806	4.6091680	35108.044	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	8.754895	4.6577335	35253.721	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	8.794312	4.6742245	35309.407	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	8.821246	4.6951211	35345.226	616.593337	8	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3089	5.0055423	18728.1539	56.016112	16.967740	2000-2009 –> 2010-2019	9.947905	4.9423624	36846.879	115.040048	9	18
Indo-Pacific	(26,26.5]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3089	5.0402412	18770.8327	331.977940	25.006717	2000-2009 –> 2010-2019	10.060947	5.0207061	36983.952	627.637880	10	22
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2685	4.3071517	15475.3865	672.689479	22.358959	1982-1999 –> 2000-2009	7.661019	3.3538674	30595.923	1195.355440	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2685	4.4078947	15599.5428	123.656498	23.866044	1982-1999 –> 2000-2009	7.888411	3.4805162	30933.063	206.039628	2	4
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	8.022683	3.5214840	31108.786	1050.378433	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2685	4.5128014	15725.8502	28.739406	24.600451	1982-1999 –> 2000-2009	8.110412	3.5976108	31249.502	46.538283	4	8
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2685	4.5310003	15747.4624	42.404451	24.651258	1982-1999 –> 2000-2009	8.146840	3.6158397	31300.156	68.209122	5	11
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	8.290349	3.6616621	31483.060	189.126454	6	13
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2685	4.7331947	15979.9040	665.894613	23.675753	1982-1999 –> 2000-2009	8.341159	3.6079646	31518.069	1180.180597	7	12
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	8.534923	3.7868584	31812.979	42.388120	8	17
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	8.555143	3.7966403	31839.595	55.896916	9	19
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2685	4.8562100	16117.6870	121.973321	24.863747	1982-1999 –> 2000-2009	8.562144	3.7059341	31809.796	204.158981	10	18
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	2837	3.2521710	14756.5346	599.386338	15.558910	2000-2009 –> 2010-2019	7.559323	4.3071517	30231.921	1272.075817	1	2
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2837	3.3250520	14882.2849	104.918174	16.009151	2000-2009 –> 2010-2019	7.732947	4.4078947	30481.828	228.574672	2	4
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	7.827606	4.5011992	30592.623	1121.476984	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2837	3.4746656	15132.0143	24.341435	15.757983	2000-2009 –> 2010-2019	7.987467	4.5128014	30857.864	53.080841	5	9
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2837	3.5068258	15184.2891	34.237576	15.877490	2000-2009 –> 2010-2019	8.037826	4.5310003	30931.752	76.642028	6	11
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	8.039675	4.6286869	30885.074	212.712319	4	10
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	8.299826	4.7480641	31251.282	49.140021	7	15
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	8.333729	4.7585031	31300.436	62.544102	8	17
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2837	4.0610916	16014.8948	19.618013	15.839464	2000-2009 –> 2010-2019	8.988098	4.9270061	32210.303	41.958180	9	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	2837	4.2798032	16312.5258	573.729279	19.852287	2000-2009 –> 2010-2019	9.012998	4.7331947	32292.430	1239.623892	11	18
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3955	3.8461745	21893.1988	754.801532	17.094512	1982-1999 –> 2000-2009	6.905458	3.0592836	40676.807	1335.368366	2	3
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3955	3.8532186	21905.6725	723.731923	16.876332	1982-1999 –> 2000-2009	6.975036	3.1218171	40836.976	1274.632326	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3955	3.8422363	21885.0953	142.415605	18.366311	1982-1999 –> 2000-2009	7.038848	3.1966112	40993.554	244.094692	1	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3955	3.8701576	21940.3690	141.676475	18.045039	1982-1999 –> 2000-2009	7.146323	3.2761649	41228.687	241.089098	4	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3955	3.9251567	22053.9874	33.016020	19.752740	1982-1999 –> 2000-2009	7.296256	3.3710991	41555.632	58.393613	5	10
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3955	3.9300071	22063.7560	53.603406	19.730973	1982-1999 –> 2000-2009	7.319581	3.3895744	41605.834	93.043365	6	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3955	3.9713750	22144.5828	32.290697	19.279447	1982-1999 –> 2000-2009	7.436531	3.4651561	41847.811	55.776979	8	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3955	3.9735821	22148.9776	50.381245	19.224211	1982-1999 –> 2000-2009	7.450868	3.4772859	41878.058	88.624846	9	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3955	3.9572219	22116.3430	22.026471	18.749952	1982-1999 –> 2000-2009	7.478057	3.5208351	41937.500	37.040167	7	17
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + nitrate + phosphate_star	3955	3.9784599	22156.6815	20.678370	18.840946	1982-1999 –> 2000-2009	7.518108	3.5396477	42015.262	33.588112	10	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3551	3.1167768	18164.8507	120.148415	20.506668	2000-2009 –> 2010-2019	6.959013	3.8422363	40049.946	262.564019	1	2
Indo-Pacific	(26.75,27]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	3551	3.1717295	18288.9770	658.830760	17.592212	2000-2009 –> 2010-2019	7.017904	3.8461745	40182.176	1413.632291	2	4
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3551	3.1928349	18336.0786	29.049513	21.801900	2000-2009 –> 2010-2019	7.117992	3.9251567	40390.066	62.065534	3	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3551	3.2063654	18366.1117	41.974849	21.874181	2000-2009 –> 2010-2019	7.136373	3.9300071	40429.868	95.578255	4	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	3551	3.6359621	19257.0869	658.778967	19.701340	2000-2009 –> 2010-2019	7.489181	3.8532186	41162.759	1382.510890	7	10
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	3551	3.6000505	19186.5932	16.417982	16.972684	2000-2009 –> 2010-2019	7.557272	3.9572219	41302.936	38.444453	5	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3551	3.7162447	19412.1938	118.892199	22.350009	2000-2009 –> 2010-2019	7.586402	3.8701576	41352.563	260.568674	8	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3551	3.8732600	19706.0950	28.838000	23.570416	2000-2009 –> 2010-2019	7.844635	3.9713750	41850.678	61.128697	13	21
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3551	3.8861946	19729.7723	41.939528	23.513307	2000-2009 –> 2010-2019	7.859777	3.9735821	41878.750	92.320773	14	23
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	7.914504	4.2890432	41989.812	1187.126777	6	17
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	5025	2.9314164	25082.9636	732.654465	9.770102	1982-1999 –> 2000-2009	5.629183	2.6977670	45829.862	1363.747845	1	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5025	3.0414386	25453.2550	133.716172	10.284523	1982-1999 –> 2000-2009	5.664495	2.6230567	45958.687	250.066745	2	3
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5025	3.1605678	25839.3868	23.110771	10.774964	1982-1999 –> 2000-2009	5.819652	2.6590841	46462.107	47.407396	4	7
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5025	3.1753615	25884.3181	131.523711	10.016883	1982-1999 –> 2000-2009	5.824914	2.6495527	46474.164	237.744726	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5025	3.1636450	25849.1669	35.739035	10.821536	1982-1999 –> 2000-2009	5.830682	2.6670375	46497.566	69.679459	5	9
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	5025	3.1338195	25751.9704	699.873847	10.180186	1982-1999 –> 2000-2009	5.902427	2.7686071	46719.729	1235.670769	3	11
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5025	3.2546171	26132.0822	21.535980	10.516327	1982-1999 –> 2000-2009	5.923431	2.6688143	46784.207	41.110932	8	13
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5025	3.2603759	26149.8495	33.482236	10.565678	1982-1999 –> 2000-2009	5.936711	2.6763353	46826.171	63.308097	9	15
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5025	3.1757098	25885.4205	17.653004	11.129146	1982-1999 –> 2000-2009	6.076002	2.9002920	47252.703	34.189220	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	5025	3.3842889	26522.7276	16.195080	11.597000	1982-1999 –> 2000-2009	6.474670	3.0903807	48433.835	32.539470	10	20
Indo-Pacific	(27,27.25]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	4714	2.6024191	22409.0824	785.227696	9.531113	2000-2009 –> 2010-2019	5.533836	2.9314164	47492.046	1517.882161	1	2
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	4714	2.7134469	22802.9681	137.501494	10.245361	2000-2009 –> 2010-2019	5.754886	3.0414386	48256.223	271.217666	3	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	4714	2.6258296	22491.5144	756.177790	9.947679	2000-2009 –> 2010-2019	5.759649	3.1338195	48243.485	1456.051637	2	5
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate	4714	2.7153133	22807.4510	133.224007	10.374633	2000-2009 –> 2010-2019	5.890675	3.1753615	48691.769	264.747718	4	10
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	4714	2.8270353	23189.5995	23.248275	10.768372	2000-2009 –> 2010-2019	5.987603	3.1605678	49028.986	46.359046	5	9
Indo-Pacific	(27,27.25]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	4714	2.8341743	23213.3777	32.772720	10.787744	2000-2009 –> 2010-2019	5.997819	3.1636450	49062.545	68.511754	7	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	4714	2.8278275	23190.2409	21.651805	10.636237	2000-2009 –> 2010-2019	6.082445	3.2546171	49322.323	43.187785	6	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	4714	2.8348420	23213.5984	31.306847	10.663226	2000-2009 –> 2010-2019	6.095218	3.2603759	49363.448	64.789083	8	17
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4714	2.9394083	23555.1005	14.219763	9.462227	2000-2009 –> 2010-2019	6.115118	3.1757098	49440.521	31.872767	9	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + nitrate + phosphate_star	4714	2.9741530	23663.8887	12.107572	10.113653	2000-2009 –> 2010-2019	6.358442	3.3842889	50186.616	28.302652	10	20
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6501	2.9535206	32544.1772	301.378838	9.683294	1982-1999 –> 2000-2009	5.307153	2.3536322	60266.438	680.136049	1	2
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6501	3.0701088	33045.5512	199.491825	11.760587	1982-1999 –> 2000-2009	5.461530	2.3914216	60959.818	392.821080	5	7
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6501	3.0397949	32918.5332	55.639595	10.016966	1982-1999 –> 2000-2009	5.471842	2.4320475	61039.978	117.676177	2	5
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6501	3.0412160	32924.6101	69.642374	9.948320	1982-1999 –> 2000-2009	5.479051	2.4378346	61075.004	145.364705	3	7
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6501	3.0431180	32930.7392	19.262379	9.712794	1982-1999 –> 2000-2009	5.517588	2.4744701	61260.811	33.073358	4	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6501	3.1539819	33395.9909	25.387491	12.125828	1982-1999 –> 2000-2009	5.623248	2.4692662	61700.420	44.225414	6	11
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6501	3.1625500	33431.2644	25.685437	12.159114	1982-1999 –> 2000-2009	5.641995	2.4794447	61785.797	46.171136	7	14
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	6501	3.4460470	34545.4744	11.090067	12.145367	1982-1999 –> 2000-2009	6.393380	2.9473332	65003.517	19.730232	8	17
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	6.621504	2.9315598	65831.281	453.254166	9	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6501	3.7675860	35707.3399	55.205163	12.024207	1982-1999 –> 2000-2009	6.770297	3.0027109	66394.110	106.737462	10	21
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6119	2.9924740	30793.0472	294.722522	13.652764	2000-2009 –> 2010-2019	5.945995	2.9535206	63337.224	596.101360	1	2
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6119	3.0677968	31097.2739	46.749083	14.038201	2000-2009 –> 2010-2019	6.107592	3.0397949	64015.807	102.388678	2	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6119	3.0679438	31095.8605	14.885723	13.944885	2000-2009 –> 2010-2019	6.111062	3.0431180	64026.600	34.148102	3	6
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6119	3.0829987	31155.7672	203.675184	16.226432	2000-2009 –> 2010-2019	6.153107	3.0701088	64201.318	403.167009	4	8
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6119	3.1567742	31445.1710	17.587076	16.649917	2000-2009 –> 2010-2019	6.310756	3.1539819	64841.162	42.974566	5	10
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6119	3.1624487	31467.1499	20.028899	16.675853	2000-2009 –> 2010-2019	6.324999	3.1625500	64898.414	45.714337	6	12
Indo-Pacific	(27.25,27.5]	3	cstar_tref ~ temp + nitrate + phosphate_star	6119	3.3570078	32195.8002	10.360682	16.226280	2000-2009 –> 2010-2019	6.803055	3.4460470	66741.275	21.450749	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	7.436000	3.6899442	68976.336	404.193414	9	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	6119	3.8070627	33737.4374	46.829129	14.194537	2000-2009 –> 2010-2019	7.574649	3.7675860	69444.777	102.034293	10	19
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	6119	3.8245887	33793.6464	46.720078	14.439119	2000-2009 –> 2010-2019	7.610637	3.7860481	69564.544	101.817022	11	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	7488	3.4907888	39985.9364	617.246499	9.844463	1982-1999 –> 2000-2009	5.964908	2.4741191	71524.535	1327.289247	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	7488	3.5306089	40155.8035	95.374375	9.782525	1982-1999 –> 2000-2009	6.053347	2.5227385	71958.288	201.565594	3	5
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	7488	3.5264779	40138.2706	99.872121	9.682479	1982-1999 –> 2000-2009	6.055115	2.5286373	71972.425	209.121160	2	5
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	7488	3.5437874	40209.5993	29.636078	10.423910	1982-1999 –> 2000-2009	6.097357	2.5535695	72174.800	55.455196	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	7488	3.5723684	40329.8980	115.513449	9.546815	1982-1999 –> 2000-2009	6.219984	2.6476153	72785.525	198.323147	5	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	7488	3.7257026	40959.2889	478.881381	13.057354	1982-1999 –> 2000-2009	6.296171	2.5704686	73013.932	898.425748	14	19
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	7488	3.6170409	40516.0116	43.531876	9.707099	1982-1999 –> 2000-2009	6.344553	2.7275120	73374.784	81.234385	6	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	7488	3.6680032	40725.5434	439.150660	10.435288	1982-1999 –> 2000-2009	6.358496	2.6904926	73399.011	989.106082	8	17
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	7488	3.7680594	41128.5878	45.311460	13.047201	1982-1999 –> 2000-2009	6.391008	2.6229489	73457.292	95.827280	17	23
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	7488	3.7754154	41157.7956	45.959972	13.045080	1982-1999 –> 2000-2009	6.411238	2.6358226	73552.890	97.696911	18	25
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6787	3.5135010	36331.9363	693.761425	16.725044	2000-2009 –> 2010-2019	7.004290	3.4907888	76317.873	1311.007924	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6787	3.5643891	36527.1262	98.558389	16.565236	2000-2009 –> 2010-2019	7.090867	3.5264779	76665.397	198.430511	4	6
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6787	3.5618589	36517.4874	91.700285	16.718069	2000-2009 –> 2010-2019	7.092468	3.5306089	76673.291	187.074659	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6787	3.5691218	36543.1375	18.837835	16.150226	2000-2009 –> 2010-2019	7.112909	3.5437874	76752.737	48.473913	5	9
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6787	3.5469373	36458.5026	457.622458	18.587007	2000-2009 –> 2010-2019	7.272640	3.7257026	77417.792	936.503839	2	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	6787	3.7079432	37061.0909	111.981733	14.694276	2000-2009 –> 2010-2019	7.280312	3.5723684	77390.989	227.495182	8	13
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6787	3.5964237	36646.5764	26.444255	18.644138	2000-2009 –> 2010-2019	7.364483	3.7680594	77775.164	71.755714	6	23
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	6787	3.6038647	36674.6321	26.631295	18.645041	2000-2009 –> 2010-2019	7.379280	3.7754154	77832.428	72.591267	7	25
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6787	3.7674897	37277.3462	35.198118	14.467209	2000-2009 –> 2010-2019	7.384531	3.6170409	77793.358	78.729994	9	15
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ temp + aou + silicate + phosphate	6787	3.7706509	37288.7312	389.096617	16.541143	2000-2009 –> 2010-2019	7.438654	3.6680032	78014.275	828.247277	10	18
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2872	2.3013072	12951.8765	731.813438	9.538357	1982-1999 –> 2000-2009	4.198673	1.8973663	23921.913	1507.855708	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2872	2.3094249	12972.1025	175.878818	9.466649	1982-1999 –> 2000-2009	4.215236	1.9058115	23965.766	352.068756	3	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2872	2.3051297	12959.4096	638.572714	9.828537	1982-1999 –> 2000-2009	4.217185	1.9120554	23968.474	1253.663243	2	6
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2872	2.3142615	12984.1196	177.539834	9.441170	1982-1999 –> 2000-2009	4.225606	1.9113443	23993.205	353.411285	5	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2872	2.3132708	12979.6600	139.206976	9.760674	1982-1999 –> 2000-2009	4.232148	1.9188771	24007.671	279.488388	4	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2872	2.3184324	12992.4625	140.015552	9.748612	1982-1999 –> 2000-2009	4.242197	1.9237642	24034.005	278.439927	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate	2872	2.3568098	13086.7654	637.389432	9.618932	1982-1999 –> 2000-2009	4.372139	2.0153287	24375.680	1354.680597	7	14
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2872	2.3568256	13084.8039	472.142986	9.599664	1982-1999 –> 2000-2009	4.373420	2.0165940	24375.058	963.300636	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + silicate + phosphate_star	2872	2.3646755	13105.9036	83.908622	9.547394	1982-1999 –> 2000-2009	4.392573	2.0278973	24427.894	160.981184	9	18
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate_star	2872	2.3646881	13103.9343	7.127152	9.530020	1982-1999 –> 2000-2009	4.393387	2.0286986	24426.026	24.373447	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	2622	2.4207796	12091.0798	915.700110	16.083905	2000-2009 –> 2010-2019	4.722087	2.3013072	25042.956	1647.513547	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	2622	2.4424534	12137.8215	166.345739	16.003062	2000-2009 –> 2010-2019	4.751878	2.3094249	25109.924	342.224556	2	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	2622	2.4560546	12166.9426	169.512169	15.988390	2000-2009 –> 2010-2019	4.770316	2.3142615	25151.062	347.052003	3	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2622	2.4953804	12248.2432	713.304016	14.718189	2000-2009 –> 2010-2019	4.800510	2.3051297	25207.653	1351.876730	4	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2622	2.5160076	12291.4127	115.402015	14.612746	2000-2009 –> 2010-2019	4.829278	2.3132708	25271.073	254.608992	5	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2622	2.5273565	12315.0136	116.662598	14.604495	2000-2009 –> 2010-2019	4.845789	2.3184324	25307.476	256.678149	6	12
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	4.902943	2.3568098	25440.594	1433.097894	7	14
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	4.931043	2.3646755	25501.242	167.901182	8	17
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	4.940596	2.3666017	25521.481	170.176963	9	20
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ temp + aou + phosphate	2622	2.6620934	12585.3812	515.967570	14.397054	2000-2009 –> 2010-2019	5.018919	2.3568256	25670.185	988.110555	10	18
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3417	2.0760681	14703.0974	321.780205	9.538343	1982-1999 –> 2000-2009	3.769831	1.6937632	26349.636	618.050814	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3417	2.0771532	14706.6684	308.972155	9.530542	1982-1999 –> 2000-2009	3.770780	1.6936269	26352.726	595.942597	2	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3417	2.0784911	14711.0687	715.232764	9.493435	1982-1999 –> 2000-2009	3.772729	1.6942379	26359.282	1550.816097	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3417	2.1072024	14802.8244	306.401539	10.498590	1982-1999 –> 2000-2009	3.822913	1.7157101	26524.325	591.570207	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3417	2.1104616	14813.3862	290.950067	10.519957	1982-1999 –> 2000-2009	3.827812	1.7173505	26540.600	561.703854	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3417	2.1141104	14825.1913	657.523059	10.479563	1982-1999 –> 2000-2009	3.835425	1.7213146	26566.188	1374.222660	6	12
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	3.904080	1.7454190	26791.837	1533.209791	8	15
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	3.909578	1.7503976	26810.506	152.556691	9	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3417	2.1593626	14969.9287	77.810822	9.851455	1982-1999 –> 2000-2009	3.911013	1.7516499	26815.360	157.965339	10	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3417	2.1222861	14851.5691	283.062767	7.543918	1982-1999 –> 2000-2009	3.916665	1.7943787	26841.074	548.392194	7	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3246	1.9554784	13579.5105	281.433128	14.862262	2000-2009 –> 2010-2019	4.031547	2.0760681	28282.608	603.213333	3	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3246	1.9548480	13577.4173	277.651747	14.840693	2000-2009 –> 2010-2019	4.032001	2.0771532	28284.086	586.623902	1	3
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	3246	1.9548522	13577.4313	808.617096	14.812554	2000-2009 –> 2010-2019	4.033343	2.0784911	28288.500	1523.849859	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3246	1.9715876	13630.7723	265.097064	14.303565	2000-2009 –> 2010-2019	4.082049	2.1104616	28444.158	556.047130	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3246	1.9751248	13642.4093	270.808811	14.274342	2000-2009 –> 2010-2019	4.082327	2.1072024	28445.234	577.210350	6	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + phosphate	3246	1.9688716	13621.8232	763.404358	14.356720	2000-2009 –> 2010-2019	4.082982	2.1141104	28447.015	1420.927417	4	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3246	2.0506337	13885.9713	259.804666	12.255148	2000-2009 –> 2010-2019	4.172920	2.1222861	28737.540	542.867433	10	17
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	4.199546	2.1586613	28822.744	1485.081030	7	15
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	4.203174	2.1591800	28834.268	139.320775	8	17
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	4.204723	2.1593626	28839.184	143.537635	9	19
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	3.425121	1.5509503	27922.190	1264.480207	1	2
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	3.434975	1.5594901	27960.707	1100.828743	2	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	3733	1.8817659	15327.8798	805.424944	10.641104	1982-1999 –> 2000-2009	3.446326	1.5645599	28015.707	1082.508295	3	6
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	3.449636	1.5646229	28024.855	157.284498	5	9
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	3733	1.8827904	15329.9433	782.468171	10.784687	1982-1999 –> 2000-2009	3.453007	1.5702169	28040.277	1032.365402	4	11
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	3733	1.8853890	15342.2409	894.875850	10.604060	1982-1999 –> 2000-2009	3.453035	1.5676458	28043.448	1201.223572	6	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	3733	1.8878732	15350.0716	84.565356	10.680787	1982-1999 –> 2000-2009	3.455535	1.5676618	28049.348	167.529062	9	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	3733	1.8855283	15338.7925	18.635905	10.820726	1982-1999 –> 2000-2009	3.455815	1.5702868	28047.429	37.419426	7	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	3733	1.8862919	15343.8152	870.615069	10.738130	1982-1999 –> 2000-2009	3.459485	1.5731930	28067.007	1144.273568	8	17
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	3733	1.8884229	15350.2453	20.145115	10.781479	1982-1999 –> 2000-2009	3.461727	1.5733042	28071.916	40.693914	10	20
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	3.725339	1.8741706	34324.510	1304.976284	3	4
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	3.736555	1.8754849	34375.598	1239.619266	6	8
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	3.737630	1.8850134	34374.885	181.064089	4	7
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	4673	1.8539978	19043.0991	98.144845	8.001613	2000-2009 –> 2010-2019	3.741871	1.8878732	34393.171	182.710201	5	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + phosphate_star	4673	1.8639463	19091.1155	28.227173	7.688786	2000-2009 –> 2010-2019	3.749475	1.8855283	34429.908	46.863078	7	11
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + phosphate + phosphate_star	4673	1.8656505	19099.6565	30.385739	7.649571	2000-2009 –> 2010-2019	3.754073	1.8884229	34449.902	50.530854	8	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	4673	1.8962476	19253.6896	101.381788	7.447702	2000-2009 –> 2010-2019	3.804881	1.9086338	34685.415	182.673066	10	17
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + nitrate + phosphate_star	4673	1.8994168	19267.2968	29.248742	7.340729	2000-2009 –> 2010-2019	3.811145	1.9117287	34709.119	48.826640	11	19
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	4673	1.8292896	18917.7080	513.415970	8.394944	2000-2009 –> 2010-2019	3.823504	1.9942147	34676.912	939.068991	1	10
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + aou + nitrate	4673	1.8321298	18930.2071	510.467126	8.278017	2000-2009 –> 2010-2019	3.830493	1.9983635	34702.928	900.461863	2	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2330	1.3083000	7876.5288	93.555009	6.392203	1982-1999 –> 2000-2009	2.376007	1.0677072	14734.822	194.750367	2	3
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	2.376241	1.0744031	14740.579	1308.089798	1	3
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	2.401557	1.0869766	14839.630	276.905462	3	6
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	2.405017	1.0888760	14853.210	306.800946	4	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate	2330	1.3598644	8056.6676	966.900806	7.376978	1982-1999 –> 2000-2009	2.450426	1.0905620	15012.641	1507.275199	6	11
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2330	1.3729062	8101.1463	699.854263	7.433859	1982-1999 –> 2000-2009	2.479500	1.1065942	15124.426	1029.935295	8	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2330	1.3608456	8058.0289	504.134385	7.398379	1982-1999 –> 2000-2009	2.480681	1.1198356	15134.168	967.405471	7	15
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2330	1.3762872	8112.6084	781.175245	7.442729	1982-1999 –> 2000-2009	2.484800	1.1085131	15143.879	1158.758891	10	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	2330	1.3434376	7998.0332	12.953361	5.682529	1982-1999 –> 2000-2009	2.493595	1.1501574	15197.391	24.327160	5	17
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2330	1.3730589	8099.6647	15.807041	7.441645	1982-1999 –> 2000-2009	2.503588	1.1305290	15219.636	30.480619	9	19
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	2.852478	1.3018376	17770.211	1230.453282	1	2
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	2666	1.5537019	9927.2749	140.752697	6.310727	2000-2009 –> 2010-2019	2.862002	1.3083000	17803.804	234.307706	4	6
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	2.866439	1.3145802	17819.789	311.518230	3	6
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	2.867905	1.3161406	17824.993	331.213737	2	6
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + silicate + phosphate_star	2666	1.5542794	9927.2562	18.059074	6.429188	2000-2009 –> 2010-2019	2.897717	1.3434376	17925.289	31.012434	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate	2666	1.6375905	10205.6611	558.463171	7.424626	2000-2009 –> 2010-2019	2.998436	1.3608456	18263.690	1062.597556	10	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	2666	1.6358841	10202.1020	769.692126	7.378627	2000-2009 –> 2010-2019	3.008790	1.3729062	18303.248	1469.546388	6	13
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + aou + phosphate_star	2666	1.6374131	10205.0835	19.221593	7.399496	2000-2009 –> 2010-2019	3.010472	1.3730589	18304.748	35.028634	9	17
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	2666	1.6359968	10202.4693	832.275004	7.370669	2000-2009 –> 2010-2019	3.012284	1.3762872	18315.078	1613.450249	7	16
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ temp + phosphate + phosphate_star	2666	1.6374113	10205.0777	21.277274	7.387848	2000-2009 –> 2010-2019	3.014112	1.3767008	18317.086	38.760440	8	18
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5429	1.3644149	18794.6939	523.745191	7.051980	1982-1999 –> 2000-2009	2.471727	1.1073123	35088.132	1019.934820	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5429	1.3857144	18962.8856	661.609221	7.208644	1982-1999 –> 2000-2009	2.512903	1.1271890	35446.761	1077.161319	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5429	1.3914935	19008.0747	574.872360	7.174846	1982-1999 –> 2000-2009	2.523751	1.1322574	35539.973	928.023265	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5429	1.4035376	19099.6519	37.661450	6.801827	1982-1999 –> 2000-2009	2.571759	1.1682209	35964.249	74.441326	4	8
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	2.678756	1.2583269	36889.462	734.932148	5	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5429	1.4648093	19563.6054	499.801032	6.647416	1982-1999 –> 2000-2009	2.699713	1.2349039	37022.394	911.606039	8	13
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	2.714266	1.2760818	37174.321	105.584478	6	16
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	2.721714	1.2795613	37233.388	121.473234	7	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5429	1.4792007	19669.7617	419.673496	6.784771	1982-1999 –> 2000-2009	2.722704	1.2435039	37202.836	693.344384	9	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5429	1.4803666	19678.3166	469.260380	6.839455	1982-1999 –> 2000-2009	2.723560	1.2431936	37208.719	784.770497	10	16
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	5861	1.3029481	19748.7842	758.445926	8.239849	2000-2009 –> 2010-2019	2.667363	1.3644149	38543.478	1282.191117	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	5861	1.3206714	19907.1573	662.230682	8.274999	2000-2009 –> 2010-2019	2.706386	1.3857144	38870.043	1323.839903	2	4
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	5861	1.3227094	19925.2323	584.724075	8.298878	2000-2009 –> 2010-2019	2.714203	1.3914935	38933.307	1159.596434	3	6
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	5861	1.3252052	19945.3296	45.351803	8.311480	2000-2009 –> 2010-2019	2.728743	1.4035376	39044.982	83.013253	4	8
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	2.766192	1.4204290	39355.322	1005.060036	6	11
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	2.798046	1.4381842	39612.374	110.759809	10	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate	5861	1.3362643	20042.7456	704.280577	8.425650	2000-2009 –> 2010-2019	2.801074	1.4648093	39606.351	1204.081608	5	13
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	2.805949	1.4421525	39676.155	123.872035	11	18
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	5861	1.3485367	20149.9112	496.191721	8.497247	2000-2009 –> 2010-2019	2.827737	1.4792007	39819.673	915.865217	7	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + nitrate + phosphate + phosphate_star	5861	1.3487178	20151.4852	546.802890	8.500605	2000-2009 –> 2010-2019	2.829084	1.4803666	39829.802	1016.063271	8	18
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	12018	0.8129966	29143.4743	283.209492	8.555110	1982-1999 –> 2000-2009	1.589482	0.7764850	56762.758	453.105216	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	12018	0.8208895	29375.6985	324.360505	8.586567	1982-1999 –> 2000-2009	1.607684	0.7867940	57307.248	471.336791	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	12018	0.8318142	29693.4700	274.621557	8.625588	1982-1999 –> 2000-2009	1.627816	0.7960021	57900.497	390.626227	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	12018	0.9098624	31847.1203	254.728434	7.850374	1982-1999 –> 2000-2009	1.889902	0.9800394	64976.541	339.184764	4	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	12018	0.9248892	32240.8430	11.952551	8.200535	1982-1999 –> 2000-2009	1.929560	1.0046704	65957.951	21.656631	6	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	12018	0.9859412	33777.2921	209.352434	8.976910	1982-1999 –> 2000-2009	1.984046	0.9981049	67339.170	273.478075	10	16
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	1.984543	1.0614017	67213.017	1471.572039	5	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ aou + nitrate + silicate + phosphate	12018	1.0165900	34513.0927	283.202415	9.924392	1982-1999 –> 2000-2009	1.999665	0.9830749	67715.734	404.863264	11	16
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	2.018933	1.0739572	68053.347	259.910151	7	17
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ nitrate + silicate + phosphate	12018	1.0303243	34833.6475	191.825256	10.984395	1982-1999 –> 2000-2009	2.028786	0.9984622	68402.000	252.899558	13	20
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	16048	0.7933482	38126.2499	233.677336	8.503931	2000-2009 –> 2010-2019	1.606345	0.8129966	67269.724	516.886829	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	16048	0.7970448	38275.4537	203.310295	8.503091	2000-2009 –> 2010-2019	1.617934	0.8208895	67651.152	527.670800	2	4
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	16048	0.8071949	38681.6043	177.530335	8.758356	2000-2009 –> 2010-2019	1.639009	0.8318142	68375.074	452.151892	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	16048	0.8119593	38868.4919	159.985900	7.624107	2000-2009 –> 2010-2019	1.721822	0.9098624	70715.612	414.714334	4	8
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	1.852267	0.9231409	75390.202	1635.393355	6	11
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	16048	0.9315949	43280.0188	10.309316	8.542439	2000-2009 –> 2010-2019	1.856484	0.9248892	75520.862	22.261867	7	13
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	1.900655	0.9449760	76856.514	321.562003	8	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	16048	0.9147788	42695.3644	115.800040	7.742235	2000-2009 –> 2010-2019	1.900720	0.9859412	76472.657	325.152473	5	15
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	1.914710	0.9526046	77264.888	22.392711	9	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + silicate + phosphate + phosphate_star	16048	0.9629666	44343.0585	10.579665	8.382176	2000-2009 –> 2010-2019	1.916611	0.9536448	77319.820	23.116309	10	19
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6262	1.3902188	21910.9577	407.157410	10.281403	1982-1999 –> 2000-2009	2.853766	1.4635476	49062.371	830.119448	8	9
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6262	1.3850190	21864.0268	618.646512	9.960862	1982-1999 –> 2000-2009	2.859223	1.4742038	49124.826	1126.073199	4	6
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6262	1.3903148	21909.8220	385.345563	10.322330	1982-1999 –> 2000-2009	2.868952	1.4786372	49213.897	684.207773	9	12
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6262	1.3802670	21820.9827	376.170562	10.085757	1982-1999 –> 2000-2009	2.880617	1.5003499	49346.857	765.321437	1	5
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6262	1.3822392	21838.8654	487.223542	9.991606	1982-1999 –> 2000-2009	2.912379	1.5301400	49661.187	940.544391	2	8
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6262	1.3850191	21862.0278	38.482896	9.959985	1982-1999 –> 2000-2009	2.927913	1.5428940	49807.507	85.517180	5	12
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + phosphate + phosphate_star	6262	1.4286805	22250.7390	382.850676	10.904045	1982-1999 –> 2000-2009	2.946312	1.5176317	49947.298	734.477382	26	31
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate	6262	1.4124128	22107.3168	54.134465	10.601643	1982-1999 –> 2000-2009	2.972768	1.5603555	50222.480	114.222544	24	32
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + phosphate_star	6262	1.4502946	22438.7926	133.211533	10.925191	1982-1999 –> 2000-2009	3.014026	1.5637312	50586.541	272.721798	28	37
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + silicate + phosphate + phosphate_star	6262	1.3961368	21962.1578	262.316504	10.279226	1982-1999 –> 2000-2009	3.026642	1.6305052	50740.395	564.882613	15	26
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate	6665	1.4191941	23595.1389	518.534993	6.607462	2000-2009 –> 2010-2019	2.799461	1.3802670	45416.122	894.705555	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + nitrate + silicate + phosphate + phosphate_star	6665	1.4220417	23621.8586	635.997112	6.651550	2000-2009 –> 2010-2019	2.804281	1.3822392	45460.724	1123.220654	4	6
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star	6665	1.4244936	23644.8226	745.765760	6.674834	2000-2009 –> 2010-2019	2.809513	1.3850190	45508.849	1364.412272	6	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate_star	6665	1.4245362	23643.2214	40.196530	6.678462	2000-2009 –> 2010-2019	2.810009	1.3854728	45509.351	67.045586	7	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + aou + nitrate + silicate	6665	1.4251987	23649.4196	62.240724	6.669576	2000-2009 –> 2010-2019	2.810218	1.3850191	45511.447	100.723620	10	15
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ aou + nitrate + silicate + phosphate + phosphate_star	6665	1.4208364	23610.5563	561.801090	6.576699	2000-2009 –> 2010-2019	2.811055	1.3902188	45521.514	968.958500	2	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ temp + nitrate + silicate + phosphate	6665	1.4280759	23676.3026	500.473619	6.715713	2000-2009 –> 2010-2019	2.811713	1.3836372	45525.828	832.873886	12	15
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ nitrate + silicate + phosphate + phosphate_star	6665	1.4221890	23621.2399	444.743599	6.641172	2000-2009 –> 2010-2019	2.813374	1.3911852	45538.901	743.034236	5	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ aou + nitrate + silicate + phosphate_star	6665	1.4246141	23643.9501	490.884216	6.682981	2000-2009 –> 2010-2019	2.814929	1.3903148	45553.772	876.229779	8	17
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ nitrate + silicate + phosphate_star	6665	1.4248686	23644.3319	8.275118	6.702444	2000-2009 –> 2010-2019	2.816061	1.3911923	45560.057	12.643160	9	21

5.4.2 per fitting unit

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

basin	gamma_slab	eras	rmse_sum_mean	ais_sum_mean
Atlantic	(-Inf,26]	1982-1999 –> 2000-2009	5.908185	1253.755
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	6.275065	1181.137
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	9.282351	6718.992
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	8.894442	5011.465
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	6.410289	9751.073
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	7.371902	8033.051
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	4.398534	14130.281
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	5.183042	12960.307
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	4.869249	20851.726
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	5.394833	18832.329
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	5.958692	37658.297
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	7.320659	34554.507
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	5.665056	79753.051
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	7.289911	68856.229
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	3.295039	22694.373
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	4.140318	20506.290
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	3.991774	24534.794
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	4.845285	22003.169
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	6.251199	36059.386
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	6.871184	28521.965
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	1.283406	7543.585
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	1.597450	7018.179
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	1.104069	9475.805
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	1.362325	9490.927
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	1.454103	22494.525
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	1.537919	18922.153
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	1.819452	44038.273
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	1.906082	36723.777
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	16.448645	36783.634
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	14.449118	48022.089
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	8.931156	36041.684
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	8.815663	35320.716
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	8.211308	31365.093
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	8.181949	31103.551
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	7.256507	41457.612
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	7.448305	41058.955
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	5.908217	46723.903
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	5.957569	48908.796
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	5.828759	62531.717
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	6.637785	66004.746
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	6.219218	72721.348
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	7.242043	77263.330
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	4.286256	24149.569
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	4.851336	25322.365
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	3.844082	26595.153
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	4.112461	28542.534
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	3.449466	28024.288
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	3.771497	34512.235
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	2.445141	15000.038
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	2.939063	18064.794
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	2.634085	36477.023
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	2.764478	39329.149
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	1.866042	64162.826
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	1.792656	73283.650
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	2.926260	49771.336
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	2.810061	45510.656

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
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
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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
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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
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b8dbce4	Donghe-Zhu	2021-05-28
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5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
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b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

# find max rmse to scale axis
max_rmse <-
  max(c(lm_best$rmse,
        lm_best$rmse_sum - lm_best$rmse))

lm_best %>%
  ggplot(aes(rmse, rmse_sum - rmse, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  coord_equal(xlim = c(0,max_rmse),
              ylim = c(0,max_rmse)) +
  facet_grid(eras ~ basin)

Past versions of rmse_correlation_across_eras_best_models-1.png

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

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	phosphate	phosphate_star	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	6	7	7	6	10	8
(26,26.5]	7	9	7	7	6	8
(26.5,26.75]	7	6	7	8	8	8
(26.75,27]	7	6	7	7	9	8
(27,27.25]	7	8	6	7	7	9
(27.25,27.5]	6	8	5	7	7	10
(27.5,27.75]	9	6	7	5	5	8
(27.75,27.85]	6	2	6	7	7	8
(27.85,27.95]	6	1	6	8	6	8
(27.95,28.05]	6	2	6	8	5	8
(28.05,28.1]	4	2	4	8	5	10
(28.1,28.15]	4	2	4	8	5	10
(28.15,28.2]	6	8	4	6	5	9
(28.2, Inf]	8	8	5	7	6	7
total	89.00	75.00	81.00	99.00	91.00	119.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	5	8	6	7	10	8
(26,26.5]	7	9	7	7	6	8
(26.5,26.75]	7	7	7	7	7	9
(26.75,27]	7	6	6	8	9	8
(27,27.25]	7	9	6	6	6	9
(27.25,27.5]	8	10	5	6	6	8
(27.5,27.75]	9	7	7	6	6	7
(27.75,27.85]	6	2	6	7	7	8
(27.85,27.95]	6	1	6	8	6	8
(27.95,28.05]	5	2	6	8	6	8
(28.05,28.1]	4	2	4	8	5	10
(28.1,28.15]	4	2	4	8	5	10
(28.15,28.2]	6	8	4	6	5	9
(28.2, Inf]	7	8	5	7	6	8
total	88.00	81.00	79.00	99.00	90.00	118.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	7	6	6	7	10	8
(26,26.5]	8	6	8	7	8	7
(26.5,26.75]	8	6	8	7	8	7
(26.75,27]	6	10	6	8	5	8
(27,27.25]	6	10	6	8	5	8
(27.25,27.5]	5	8	6	7	6	10
(27.5,27.75]	6	9	7	6	7	8
(27.75,27.85]	8	6	6	6	5	10
(27.85,27.95]	7	7	6	6	7	10
(27.95,28.05]	6	4	6	8	5	10
(28.05,28.1]	6	4	5	7	5	10
(28.1,28.2]	6	7	6	7	7	10
(28.2,28.3]	5	8	8	5	10	6
(28.3, Inf]	9	9	6	7	7	6
total	93.00	100.00	90.00	96.00	95.00	118.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	7	7	9	8
(26,26.5]	8	6	8	7	8	7
(26.5,26.75]	7	6	7	8	9	7
(26.75,27]	7	9	7	8	6	7
(27,27.25]	6	10	6	8	5	8
(27.25,27.5]	6	7	5	7	6	10
(27.5,27.75]	6	9	7	6	7	8
(27.75,27.85]	7	6	7	6	6	10
(27.85,27.95]	7	7	6	6	7	10
(27.95,28.05]	6	4	4	6	5	10
(28.05,28.1]	5	3	5	8	5	10
(28.1,28.2]	6	7	6	7	7	10
(28.2,28.3]	5	6	7	7	10	8
(28.3, Inf]	5	10	5	7	10	6
total	88.00	96.00	87.00	98.00	100.00	119.00

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
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
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