eMLR - model fitting

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Last updated: 2021-07-30

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

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R Markdown file: up-to-date

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Seed: set.seed(20200707)

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Session information: recorded

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Repository version: 3d96d93

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

---

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

File	Version	Author	Date	Message
html	f8c34a8	Donghe-Zhu	2021-07-30	Build site.
html	4f897c4	Donghe-Zhu	2021-07-30	Build site.
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html	400c457	Donghe-Zhu	2021-07-29	Build site.
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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.
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html	e4805a1	Donghe-Zhu	2021-07-22	Build site.
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html	7957fd1	Donghe-Zhu	2021-07-21	Build site.
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html	698b6f0	Donghe-Zhu	2021-07-20	Build site.
html	d84a1cb	Donghe-Zhu	2021-07-20	Build site.
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html	4dce223	Donghe-Zhu	2021-07-20	Build site.
html	6f28c0c	Donghe-Zhu	2021-07-20	Build site.
html	db1e7b7	Donghe-Zhu	2021-07-19	Build site.
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html	ff0575d	Donghe-Zhu	2021-07-19	Build site.
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html	57d0420	Donghe-Zhu	2021-07-16	Build site.
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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.
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html	b473472	Donghe-Zhu	2021-07-15	Build site.
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html	75e7b07	Donghe-Zhu	2021-07-06	Build site.
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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.
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html	bb413c8	Donghe-Zhu	2021-06-25	Build site.
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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.
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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.
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html	ed89970	Donghe-Zhu	2021-06-07	Build site.
html	df37958	Donghe-Zhu	2021-06-07	1
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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.
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html	e377833	Donghe-Zhu	2021-05-26	Build site.
Rmd	896faa0	Donghe-Zhu	2021-05-18	final
html	2705a04	Donghe-Zhu	2021-03-28	Build site.
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---

1 Required data

Required are:

• cleaned and prepared GLODAP-based synthetic model subsetting file

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

• sal, temp, oxygen, aou, nitrate, silicate

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

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

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

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

lm_all <- anti_join(lm_all, lm_rm)

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

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

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

3 Apply predictor threshold

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

• Minimum: 2
  
• Maximum: 5

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

This results in a total number of MLR models of:

• 56

4 Fit all models

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

• cstar_tref

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

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

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

5 Prepare coeffcients

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

5.1 Formatting

# lm_all_fitted <- lm_all_fitted_1

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

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

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

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

5.2 Predictor selection

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

• 10

The criterion used to select the best models was:

• rmse

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

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

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

5.3 VIF threshold

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

• 1000

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

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

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

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

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

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

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

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

5.4 RMSE tables

5.4.1 per model

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

basin	gamma_slab	n_predictors	model	nr_obs	rmse	aic	vif_max	resid_max	eras	rmse_sum	rmse_lag	aic_sum	vif_max_sum	rank	rank_sum
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	406	9.9153278	3028.973	47.931493	29.382925	1982-1999 –> 2000-2009	18.816112	8.9007839	6792.254	110.307362	1	2
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	406	10.0252248	3037.923	37.992118	30.054931	1982-1999 –> 2000-2009	18.946606	8.9213807	6803.608	69.668479	5	7
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	406	10.0828764	3042.579	36.240621	30.100485	1982-1999 –> 2000-2009	19.023190	8.9403139	6810.469	67.841439	7	10
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	406	9.9443069	3029.342	38.585462	29.527466	1982-1999 –> 2000-2009	19.079042	9.1347355	6817.606	92.153371	3	9
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	406	9.9289675	3028.089	22.419494	28.000291	1982-1999 –> 2000-2009	19.242669	9.3137011	6836.531	48.090960	2	12
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	406	10.0302815	3036.332	4.866874	29.365031	1982-1999 –> 2000-2009	19.373186	9.3429040	6848.030	10.473744	6	18
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	406	10.1486159	3045.856	37.982269	30.047983	1982-1999 –> 2000-2009	19.430892	9.2822758	6850.783	68.965153	9	18
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	406	10.0830867	3040.596	5.033615	29.949677	1982-1999 –> 2000-2009	19.471480	9.3883934	6857.345	10.696177	8	22
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	406	10.4303025	3068.087	8.576278	24.239551	1982-1999 –> 2000-2009	19.527281	9.0969786	6852.043	16.076473	13	17
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + silicate	406	9.9595413	3028.585	10.120734	27.880024	1982-1999 –> 2000-2009	19.555655	9.5961133	6866.094	23.340574	4	19
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	536	8.1907808	3789.528	34.212003	22.692148	2000-2009 –> 2010-2019	18.106109	9.9153278	6818.501	82.143496	4	5
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	536	8.1694154	3786.728	28.881357	23.073035	2000-2009 –> 2010-2019	18.194640	10.0252248	6824.651	66.873475	2	7
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	536	8.2726295	3798.187	17.154786	32.891459	2000-2009 –> 2010-2019	18.201597	9.9289675	6826.276	39.574280	7	9
Atlantic	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	536	8.1626899	3785.845	28.043369	23.293616	2000-2009 –> 2010-2019	18.245566	10.0828764	6828.424	64.283990	1	8
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	536	8.2494748	3795.182	5.978990	32.594611	2000-2009 –> 2010-2019	18.279756	10.0302815	6831.515	10.845864	6	12
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	536	8.2370589	3793.568	6.941995	32.643879	2000-2009 –> 2010-2019	18.320146	10.0830867	6834.164	11.975610	5	13
Atlantic	(-Inf,26]	4	cstar_tref ~ sal + temp + nitrate + silicate	536	8.1888650	3787.277	11.194992	22.282636	2000-2009 –> 2010-2019	18.619167	10.4303025	6855.364	19.771271	3	16
Atlantic	(-Inf,26]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	536	8.8463632	3870.069	29.345775	25.462619	2000-2009 –> 2010-2019	18.790670	9.9443069	6899.411	67.931237	14	17
Atlantic	(-Inf,26]	3	cstar_tref ~ oxygen + aou + silicate	536	8.9673330	3882.629	10.228318	23.903162	2000-2009 –> 2010-2019	18.926874	9.9595413	6911.214	20.349052	17	21
Atlantic	(-Inf,26]	4	cstar_tref ~ temp + aou + nitrate + silicate	536	8.9896608	3887.295	28.091946	26.211059	2000-2009 –> 2010-2019	19.138277	10.1486159	6933.151	66.074215	18	27
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	393	6.7905992	2634.899	447.555401	23.574443	1982-1999 –> 2000-2009	16.144351	9.3537518	5982.001	999.422013	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	393	6.8388182	2640.461	111.316724	23.523100	1982-1999 –> 2000-2009	16.225626	9.3868082	5990.779	147.400249	2	5
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	393	6.8803203	2645.217	104.544099	23.449629	1982-1999 –> 2000-2009	16.293677	9.4133569	5998.111	140.311507	3	8
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	393	7.2080001	2679.786	370.358213	31.321878	1982-1999 –> 2000-2009	16.562307	9.3543073	6024.941	915.876897	10	12
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	393	7.0990360	2667.813	92.675482	24.557954	1982-1999 –> 2000-2009	16.595820	9.4967843	6026.755	125.324437	7	16
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	393	7.2037311	2679.321	278.672581	23.632497	1982-1999 –> 2000-2009	16.631296	9.4275653	6031.590	449.608642	9	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	393	7.2989957	2689.647	34.131231	31.530705	1982-1999 –> 2000-2009	16.686083	9.3870872	6037.992	65.828788	11	15
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	393	7.3931005	2699.716	32.669408	31.910080	1982-1999 –> 2000-2009	16.806617	9.4135168	6050.625	63.981051	14	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	393	7.4044676	2700.923	109.496154	23.490092	1982-1999 –> 2000-2009	16.925164	9.5206961	6062.158	145.505997	15	26
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	393	7.4758141	2708.461	101.872242	22.926886	1982-1999 –> 2000-2009	17.039844	9.5640300	6073.837	137.616452	17	30
Atlantic	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	544	7.7557885	3786.507	439.240301	33.290666	2000-2009 –> 2010-2019	14.546388	6.7905992	6421.407	886.795701	1	2
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	544	7.7611705	3787.262	23.218623	33.796907	2000-2009 –> 2010-2019	14.599989	6.8388182	6427.723	134.535347	2	4
Atlantic	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	544	7.7713054	3788.682	23.109100	34.055412	2000-2009 –> 2010-2019	14.651626	6.8803203	6433.898	127.653199	3	6
Atlantic	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	544	7.7715667	3786.718	420.475352	33.523414	2000-2009 –> 2010-2019	14.979567	7.2080001	6466.505	790.833565	4	14
Atlantic	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	544	7.8318423	3795.124	127.665801	34.180709	2000-2009 –> 2010-2019	15.035573	7.2037311	6474.445	406.338382	7	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	544	7.7788810	3787.742	20.630865	34.052977	2000-2009 –> 2010-2019	15.077877	7.2989957	6477.389	54.762097	5	16
Atlantic	(26,26.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	544	7.9944974	3817.489	18.736818	30.079512	2000-2009 –> 2010-2019	15.093533	7.0990360	6485.302	111.412300	13	20
Atlantic	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	544	7.7906108	3789.381	21.247138	34.322668	2000-2009 –> 2010-2019	15.183711	7.3931005	6489.097	53.916545	6	20
Atlantic	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	544	7.8640816	3799.594	22.200763	35.051484	2000-2009 –> 2010-2019	15.268549	7.4044676	6500.517	131.696918	9	24
Atlantic	(26,26.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	544	7.8885967	3802.980	22.198337	35.326045	2000-2009 –> 2010-2019	15.364411	7.4758141	6511.441	124.070579	11	28
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	321	5.9544175	2070.372	184.325621	37.788124	1982-1999 –> 2000-2009	11.538353	5.5839358	5323.647	218.839137	1	3
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	321	5.9671217	2071.740	181.087284	37.740744	1982-1999 –> 2000-2009	11.548646	5.5815245	5324.570	215.913652	2	3
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	321	6.1736198	2091.582	106.836770	36.696162	1982-1999 –> 2000-2009	11.761416	5.5877960	5343.570	141.307299	6	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	321	6.2137185	2095.738	107.083120	36.509601	1982-1999 –> 2000-2009	11.800271	5.5865528	5347.497	141.877824	7	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	321	6.0643916	2080.121	771.626103	36.648902	1982-1999 –> 2000-2009	11.888615	5.8242233	5374.876	1277.342879	3	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	321	6.0965845	2083.520	169.890365	36.446776	1982-1999 –> 2000-2009	11.979155	5.8825705	5388.563	203.843322	4	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	321	6.1218741	2086.178	165.754496	36.307718	1982-1999 –> 2000-2009	12.041697	5.9198231	5397.735	199.914614	5	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	321	6.2591525	2098.415	719.623638	35.583210	1982-1999 –> 2000-2009	12.083380	5.8242272	5391.171	1025.221033	8	16
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	321	6.4250171	2117.206	181.800099	36.784880	1982-1999 –> 2000-2009	12.195764	5.7707468	5402.442	215.822592	11	16
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	321	6.3441258	2107.072	97.701188	35.104914	1982-1999 –> 2000-2009	12.226731	5.8826056	5410.121	131.573125	9	19
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	366	6.9208177	2468.742	27.487040	27.726493	2000-2009 –> 2010-2019	12.875235	5.9544175	4539.114	211.812661	1	2
Atlantic	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	366	6.9389442	2470.657	30.062779	28.058782	2000-2009 –> 2010-2019	12.906066	5.9671217	4542.397	211.150063	2	4
Atlantic	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	366	7.1087095	2486.350	299.312615	28.453561	2000-2009 –> 2010-2019	13.173101	6.0643916	4566.471	1070.938719	6	9
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	366	7.0261756	2477.801	24.198882	30.999143	2000-2009 –> 2010-2019	13.199795	6.1736198	4569.383	131.035652	4	10
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	366	7.1505902	2490.650	20.081933	29.064002	2000-2009 –> 2010-2019	13.247175	6.0965845	4574.170	189.972297	9	13
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	366	7.0419309	2479.441	25.502385	31.324472	2000-2009 –> 2010-2019	13.255649	6.2137185	4575.179	132.585505	5	12
Atlantic	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	366	7.1804814	2493.703	20.522767	29.402181	2000-2009 –> 2010-2019	13.302355	6.1218741	4579.881	186.277263	10	15
Atlantic	(26.5,26.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	366	6.9465204	2469.455	18.459568	26.478102	2000-2009 –> 2010-2019	13.371538	6.4250171	4586.662	200.259666	3	14
Atlantic	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	366	7.1989939	2493.588	161.707335	31.347599	2000-2009 –> 2010-2019	13.458146	6.2591525	4592.003	881.330973	11	19
Atlantic	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	366	7.2379943	2497.543	17.346386	32.052764	2000-2009 –> 2010-2019	13.582120	6.3441258	4604.615	115.047575	12	21
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	719	5.1721108	4417.472	143.445893	26.227518	1982-1999 –> 2000-2009	10.072892	4.9007810	10039.004	182.997131	1	2
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	719	5.2563266	4440.697	144.691397	26.246258	1982-1999 –> 2000-2009	10.200119	4.9437921	10078.518	183.369407	2	6
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	719	5.2854260	4444.636	994.426386	22.031634	1982-1999 –> 2000-2009	10.205167	4.9197411	10069.367	1371.205203	3	5
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	719	5.2930278	4448.703	128.661486	25.115149	1982-1999 –> 2000-2009	10.221118	4.9280897	10078.594	165.375547	4	7
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	719	5.3985409	4477.087	141.669877	21.767070	1982-1999 –> 2000-2009	10.376727	4.9781860	10125.830	179.710728	6	11
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	719	5.3984456	4477.061	128.318731	24.985345	1982-1999 –> 2000-2009	10.381870	4.9834241	10127.765	164.978089	5	11
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	719	5.4423028	4486.697	128.630269	21.683345	1982-1999 –> 2000-2009	10.426904	4.9846009	10135.841	165.151143	7	14
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	719	5.4954466	4502.670	142.512712	21.595871	1982-1999 –> 2000-2009	10.518223	5.0227762	10168.036	180.773475	8	16
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	719	5.5493125	4514.697	128.264600	21.494262	1982-1999 –> 2000-2009	10.584961	5.0356483	10182.833	164.884997	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	719	5.8410071	4590.364	136.178409	23.011723	1982-1999 –> 2000-2009	11.620695	5.7796879	10517.374	174.260716	10	20
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	643	5.2758425	3977.551	21.866150	22.692838	2000-2009 –> 2010-2019	10.447953	5.1721108	8395.022	165.312044	2	3
Atlantic	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	643	5.2510619	3967.496	206.113519	22.617456	2000-2009 –> 2010-2019	10.536488	5.2854260	8412.133	1200.539904	1	4
Atlantic	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	643	5.3201921	3988.316	23.141363	23.043152	2000-2009 –> 2010-2019	10.576519	5.2563266	8429.013	167.832760	6	8
Atlantic	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	643	5.3149488	3985.048	20.517846	22.943593	2000-2009 –> 2010-2019	10.607977	5.2930278	8433.751	149.179332	4	8
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	643	5.2766936	3975.758	21.025089	22.410211	2000-2009 –> 2010-2019	10.675235	5.3985409	8452.845	162.694967	3	9
Atlantic	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	643	5.3150456	3983.071	17.768970	23.043620	2000-2009 –> 2010-2019	10.757348	5.4423028	8469.768	146.399239	5	12
Atlantic	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	643	5.3679222	3997.802	18.339471	23.308072	2000-2009 –> 2010-2019	10.766368	5.3984456	8474.863	146.658203	8	13
Atlantic	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	643	5.3222287	3986.808	21.043970	22.601301	2000-2009 –> 2010-2019	10.817675	5.4954466	8489.479	163.556682	7	15
Atlantic	(26.75,27]	3	cstar_tref ~ temp + oxygen + nitrate	643	5.3679243	3995.802	17.790627	23.293194	2000-2009 –> 2010-2019	10.917237	5.5493125	8510.499	146.055226	9	18
Atlantic	(26.75,27]	4	cstar_tref ~ sal + aou + nitrate + silicate	643	5.8204838	4101.894	20.450031	17.883946	2000-2009 –> 2010-2019	11.661491	5.8410071	8692.258	156.628439	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1197	4.1978582	6843.310	779.755674	18.496204	1982-1999 –> 2000-2009	7.532496	3.3346383	16089.336	1355.133418	1	2
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1197	4.3036728	6900.907	455.259827	16.272029	1982-1999 –> 2000-2009	7.638751	3.3350782	16145.397	608.751422	2	4
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1197	4.4207620	6969.170	59.221048	17.585467	1982-1999 –> 2000-2009	7.853844	3.4330822	16319.607	101.956908	3	6
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1197	4.6526096	7089.542	57.449770	15.041043	1982-1999 –> 2000-2009	8.103741	3.4511319	16456.438	92.464280	5	9
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1197	4.6330537	7079.458	58.475181	18.616586	1982-1999 –> 2000-2009	8.212295	3.5792413	16574.653	85.296855	4	9
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1197	4.6893587	7110.377	59.490795	17.643868	1982-1999 –> 2000-2009	8.292216	3.6028569	16630.720	102.366398	6	13
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1197	4.7289782	7126.519	57.344439	16.283142	1982-1999 –> 2000-2009	8.309252	3.5802738	16620.728	70.023962	7	13
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1197	4.9345603	7230.394	57.419712	14.932573	1982-1999 –> 2000-2009	8.559822	3.6252617	16770.559	92.396783	9	17
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1197	4.9255166	7226.002	58.549386	18.728505	1982-1999 –> 2000-2009	8.698111	3.7725942	16906.391	85.443946	8	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1197	5.0217371	7270.318	57.273306	16.298306	1982-1999 –> 2000-2009	8.795315	3.7735777	16949.625	69.975903	10	20
Atlantic	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1368	4.3884615	7940.702	325.299682	16.349930	2000-2009 –> 2010-2019	8.586320	4.1978582	14784.012	1105.055357	2	3
Atlantic	(27,27.25]	3	cstar_tref ~ oxygen + aou + nitrate	1368	4.3910224	7940.298	116.014034	16.010370	2000-2009 –> 2010-2019	8.694695	4.3036728	14841.205	571.273861	3	5
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1368	4.3875645	7942.142	31.085392	14.759256	2000-2009 –> 2010-2019	8.808326	4.4207620	14911.312	90.306439	1	4
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	1368	4.4394270	7972.293	26.874158	14.942143	2000-2009 –> 2010-2019	9.092037	4.6526096	15061.835	84.323928	4	9
Atlantic	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	1368	4.5615517	8046.541	12.541390	15.049986	2000-2009 –> 2010-2019	9.194605	4.6330537	15126.000	71.016571	6	10
Atlantic	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1368	4.5247353	8026.369	31.130818	15.184669	2000-2009 –> 2010-2019	9.214094	4.6893587	15136.747	90.621613	5	11
Atlantic	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	1368	4.5675359	8048.128	9.304073	15.030329	2000-2009 –> 2010-2019	9.296514	4.7289782	15174.647	66.648512	7	14
Atlantic	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1368	4.5885145	8062.666	26.873047	15.708096	2000-2009 –> 2010-2019	9.523075	4.9345603	15293.060	84.292759	8	17
Atlantic	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1368	4.7073469	8132.620	12.168423	15.766283	2000-2009 –> 2010-2019	9.632863	4.9255166	15358.623	70.717809	9	17
Atlantic	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	1368	4.7171358	8136.304	9.341566	15.896994	2000-2009 –> 2010-2019	9.738873	5.0217371	15406.622	66.614873	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2361	5.0424575	14353.921	742.355384	21.566837	1982-1999 –> 2000-2009	8.663132	3.6206747	33123.133	1542.819408	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2361	5.1210326	14426.935	73.631764	21.400500	1982-1999 –> 2000-2009	8.755016	3.6339835	33221.581	111.956224	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2361	5.1001570	14405.647	600.350182	19.241716	1982-1999 –> 2000-2009	8.821205	3.7210483	33362.415	1181.293326	2	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2361	5.1799137	14478.919	72.424249	18.456920	1982-1999 –> 2000-2009	8.927163	3.7472489	33484.325	102.328656	4	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2361	5.3072716	14595.614	71.188992	20.158454	1982-1999 –> 2000-2009	9.037928	3.7306562	33572.257	114.082881	5	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2361	5.3712250	14650.174	69.853755	17.105209	1982-1999 –> 2000-2009	9.224499	3.8532742	33848.992	99.758839	6	12
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	2361	5.4387103	14709.133	61.833711	19.597018	1982-1999 –> 2000-2009	9.608541	4.1698303	34455.247	76.000808	7	14
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	2361	5.4393647	14707.701	61.512244	19.612549	1982-1999 –> 2000-2009	9.611765	4.1723999	34456.085	69.859287	8	16
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2361	5.7230523	14949.768	65.198078	15.156550	1982-1999 –> 2000-2009	10.102907	4.3798549	35036.522	84.258592	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2361	5.7418400	14965.244	654.158330	18.536928	1982-1999 –> 2000-2009	10.178674	4.4368335	35141.596	948.325220	10	20
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3122	4.7166388	18558.898	499.237418	20.014885	2000-2009 –> 2010-2019	9.759096	5.0424575	32912.820	1241.592803	1	2
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3122	4.8052530	18675.120	24.409116	19.397735	2000-2009 –> 2010-2019	9.926286	5.1210326	33102.055	98.040880	2	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3122	4.9942733	18914.027	447.990489	20.061750	2000-2009 –> 2010-2019	10.094430	5.1001570	33319.674	1048.340670	3	5
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	3122	5.0851672	19026.644	21.280342	19.824195	2000-2009 –> 2010-2019	10.265081	5.1799137	33505.562	93.704591	5	9
Atlantic	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3122	5.0245579	18953.775	27.234117	18.013511	2000-2009 –> 2010-2019	10.331829	5.3072716	33549.389	98.423109	4	9
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	3122	5.1013649	19046.501	9.312802	21.249975	2000-2009 –> 2010-2019	10.540075	5.4387103	33755.634	71.146513	6	13
Atlantic	(27.25,27.5]	3	cstar_tref ~ sal + aou + nitrate	3122	5.2136099	19180.398	7.620367	21.051121	2000-2009 –> 2010-2019	10.652975	5.4393647	33888.099	69.132610	7	15
Atlantic	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3122	5.3601510	19355.479	21.715638	18.554562	2000-2009 –> 2010-2019	10.731376	5.3712250	34005.653	91.569394	8	14
Atlantic	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	3122	5.9271868	19983.361	10.163562	22.509392	2000-2009 –> 2010-2019	11.650239	5.7230523	34933.128	75.361639	9	18
Atlantic	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3122	6.0137096	20073.849	193.559783	29.518536	2000-2009 –> 2010-2019	11.755550	5.7418400	35039.093	847.718113	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4137	7.4378313	28356.735	22.099060	19.262132	1982-1999 –> 2000-2009	12.798958	5.3611265	56371.477	46.549548	2	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4137	7.4371353	28355.960	26.386329	20.116923	1982-1999 –> 2000-2009	12.817158	5.3800222	56402.502	53.510154	1	3
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4137	7.4768172	28399.990	208.614950	19.319551	1982-1999 –> 2000-2009	12.888696	5.4118787	56499.890	687.139671	3	6
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4137	7.5071094	28431.444	20.759609	23.180485	1982-1999 –> 2000-2009	13.046433	5.5393233	56739.713	42.235283	4	8
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4137	7.5427687	28470.653	21.177046	23.400742	1982-1999 –> 2000-2009	13.112973	5.5702042	56829.168	42.647134	5	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4137	7.5723134	28502.999	147.171406	23.399022	1982-1999 –> 2000-2009	13.184957	5.6126431	56930.112	462.391874	6	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4137	7.5975852	28530.567	18.978418	21.333941	1982-1999 –> 2000-2009	13.303731	5.7061463	57107.007	30.869663	7	14
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4137	7.6206942	28553.695	18.146758	23.155212	1982-1999 –> 2000-2009	13.361133	5.7404389	57182.289	21.440667	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4137	7.8857703	28838.603	15.944838	22.641668	1982-1999 –> 2000-2009	14.125819	6.2400483	58223.438	31.510184	9	18
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4137	8.0344620	28993.163	15.875586	22.706143	1982-1999 –> 2000-2009	14.293834	6.2593716	58405.942	31.626842	11	21
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4300	7.2148757	29211.718	17.974014	20.647167	2000-2009 –> 2010-2019	14.652707	7.4378313	57568.453	40.073073	2	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4300	7.2029703	29197.515	301.856305	19.749918	2000-2009 –> 2010-2019	14.679787	7.4768172	57597.505	510.471254	1	4
Atlantic	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4300	7.3223240	29338.850	19.935290	21.965943	2000-2009 –> 2010-2019	14.759459	7.4371353	57694.811	46.321619	3	4
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	4300	7.5415503	29590.550	17.119224	19.703467	2000-2009 –> 2010-2019	15.084319	7.5427687	58061.204	38.296270	6	11
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4300	7.5207050	29566.746	251.181242	20.036188	2000-2009 –> 2010-2019	15.093018	7.5723134	58069.745	398.352648	4	10
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	4300	7.5334073	29581.259	6.989227	19.849274	2000-2009 –> 2010-2019	15.130992	7.5975852	58111.826	25.967645	5	12
Atlantic	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4300	7.6564342	29720.570	17.132866	20.268743	2000-2009 –> 2010-2019	15.163544	7.5071094	58152.015	37.892475	7	11
Atlantic	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	4300	7.6799958	29744.995	2.759619	20.242379	2000-2009 –> 2010-2019	15.300690	7.6206942	58298.690	20.906377	8	16
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4300	7.7591308	29835.156	8.116858	24.369363	2000-2009 –> 2010-2019	15.644901	7.8857703	58673.759	24.061696	10	19
Atlantic	(27.5,27.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	4300	7.7109093	29781.542	8.086420	23.177502	2000-2009 –> 2010-2019	15.745371	8.0344620	58774.705	23.962006	9	20
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1744	6.6876239	11591.360	143.886875	18.153102	1982-1999 –> 2000-2009	11.105334	4.4177102	20928.997	618.703453	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1744	6.7013010	11598.486	29.281156	18.369151	1982-1999 –> 2000-2009	11.119499	4.4181983	20936.478	67.588561	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1744	6.7236399	11608.094	15.874695	19.748070	1982-1999 –> 2000-2009	11.176563	4.4529228	20969.216	28.413487	3	8
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1744	6.7807721	11639.607	35.345661	19.152426	1982-1999 –> 2000-2009	11.247304	4.4665315	21012.525	73.604456	4	11
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1744	6.8208482	11658.161	27.356333	21.598707	1982-1999 –> 2000-2009	11.248325	4.4274767	21000.888	65.078376	6	9
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1744	6.8197666	11657.608	116.520661	21.648570	1982-1999 –> 2000-2009	11.249292	4.4295259	21001.820	537.489575	5	9
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1744	6.8219340	11656.716	12.394715	21.494160	1982-1999 –> 2000-2009	11.277796	4.4558620	21017.957	20.094428	7	13
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1744	6.8630482	11679.675	30.550310	21.429677	1982-1999 –> 2000-2009	11.330257	4.4672088	21051.079	68.147991	8	16
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1744	7.0794638	11787.965	14.971293	19.910833	1982-1999 –> 2000-2009	12.005490	4.9260260	21473.207	27.279586	9	18
Atlantic	(27.75,27.85]	3	cstar_tref ~ temp + oxygen + nitrate	1744	7.2276017	11858.198	12.078031	21.875080	1982-1999 –> 2000-2009	12.166327	4.9387257	21549.705	19.044661	11	21
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1874	6.4844717	12338.732	215.469933	23.366843	2000-2009 –> 2010-2019	13.172096	6.6876239	23930.091	359.356809	1	2
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1874	6.4978821	12346.475	33.615412	23.119778	2000-2009 –> 2010-2019	13.199183	6.7013010	23944.961	62.896568	2	4
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	1874	6.6060902	12406.376	15.306006	24.137564	2000-2009 –> 2010-2019	13.329730	6.7236399	24014.469	31.180701	4	7
Atlantic	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1874	6.5693166	12387.454	33.420456	22.239540	2000-2009 –> 2010-2019	13.350089	6.7807721	24027.061	68.766117	3	7
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1874	6.6517238	12432.177	214.348793	30.023685	2000-2009 –> 2010-2019	13.471490	6.8197666	24089.785	330.869454	5	10
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	1874	6.6581292	12435.784	31.865027	29.619729	2000-2009 –> 2010-2019	13.478977	6.8208482	24093.946	59.221360	6	12
Atlantic	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1874	6.7092398	12464.446	31.834423	28.403803	2000-2009 –> 2010-2019	13.572288	6.8630482	24144.121	62.384734	7	15
Atlantic	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	1874	6.7681336	12495.202	5.814678	30.483745	2000-2009 –> 2010-2019	13.590068	6.8219340	24151.919	18.209393	8	15
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1874	6.8414697	12537.595	14.534947	21.432462	2000-2009 –> 2010-2019	13.920934	7.0794638	24325.560	29.506240	9	18
Atlantic	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	1874	6.9405707	12591.497	14.513089	21.200955	2000-2009 –> 2010-2019	14.125841	7.1852708	24431.206	29.192215	11	21
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3669	3.4480457	19509.203	75.090213	20.396417	1982-1999 –> 2000-2009	7.149699	3.7016531	40139.296	371.355959	1	3
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3669	3.4732112	19562.565	57.744750	20.108361	1982-1999 –> 2000-2009	7.170508	3.6972967	40183.758	97.434715	3	4
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3669	3.5926128	19810.591	55.863265	19.613448	1982-1999 –> 2000-2009	7.330541	3.7379280	40514.389	95.096074	5	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3669	3.4483609	19507.874	75.078504	20.240205	1982-1999 –> 2000-2009	7.371626	3.9232652	40575.425	369.678537	2	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	3669	3.4733292	19560.814	26.635995	20.030022	1982-1999 –> 2000-2009	7.385056	3.9117272	40606.105	45.559967	4	11
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3669	3.5932369	19809.865	35.626366	19.793610	1982-1999 –> 2000-2009	7.536397	3.9431602	40915.646	56.441859	6	15
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	3669	3.6528912	19930.689	57.709762	23.093280	1982-1999 –> 2000-2009	7.685260	4.0323691	41205.555	97.185684	7	17
Atlantic	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	3669	3.6600427	19943.041	18.681308	22.395410	1982-1999 –> 2000-2009	7.883716	4.2236736	41566.229	33.208458	8	22
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3669	4.0571136	20700.833	46.281270	15.125738	1982-1999 –> 2000-2009	7.885700	3.8285865	41583.753	84.097054	9	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	3669	4.1280364	20828.001	45.998516	14.802752	1982-1999 –> 2000-2009	7.956592	3.8285555	41710.859	84.021785	11	15
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4049	5.6651024	25549.128	155.355673	58.466741	2000-2009 –> 2010-2019	9.113148	3.4480457	45058.331	230.445885	1	2
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4049	5.6823601	25573.759	36.904202	56.562839	2000-2009 –> 2010-2019	9.155571	3.4732112	45136.324	94.648953	2	5
Atlantic	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4049	5.7463360	25664.423	36.335967	53.312133	2000-2009 –> 2010-2019	9.338949	3.5926128	45475.013	92.199232	3	8
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4049	6.0432855	26070.444	35.905688	64.244338	2000-2009 –> 2010-2019	9.696177	3.6528912	46001.133	93.615450	7	14
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4049	6.3029956	26411.185	140.638634	68.356696	2000-2009 –> 2010-2019	9.751356	3.4483609	45919.059	215.717139	8	10
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4049	6.3446400	26464.513	25.962554	66.264083	2000-2009 –> 2010-2019	9.817969	3.4733292	46025.327	52.598549	9	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4049	5.9289636	25915.785	36.182392	41.624009	2000-2009 –> 2010-2019	9.986077	4.0571136	46616.618	82.463661	4	13
Atlantic	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4049	6.4421851	26588.068	25.790076	62.873748	2000-2009 –> 2010-2019	10.035422	3.5932369	46397.933	61.416443	10	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	4049	5.9320415	25919.988	36.650794	42.588412	2000-2009 –> 2010-2019	10.060078	4.1280364	46747.989	82.649310	5	16
Atlantic	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4049	6.0153926	26032.981	59.595114	42.903779	2000-2009 –> 2010-2019	10.349987	4.3345943	47219.268	112.498804	6	19
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5051	3.5841398	27243.507	77.323313	39.333321	1982-1999 –> 2000-2009	7.411132	3.8269924	60925.357	128.974521	3	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5051	3.5672185	27195.701	80.240838	39.728967	1982-1999 –> 2000-2009	7.495235	3.9280163	61195.270	136.219789	2	5
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5051	3.5666519	27194.096	66.030873	39.791781	1982-1999 –> 2000-2009	7.549206	3.9825541	61361.806	137.488477	1	5
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5051	3.6500913	27425.704	33.740645	35.191738	1982-1999 –> 2000-2009	7.560218	3.9101270	61367.611	60.204794	5	7
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	5051	3.6168226	27333.207	39.003453	42.373329	1982-1999 –> 2000-2009	7.749964	4.1331413	61951.490	86.298617	4	12
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	5051	3.6949988	27549.231	33.373950	33.552488	1982-1999 –> 2000-2009	7.768154	4.0731549	61989.239	59.847802	6	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5051	3.7389720	27668.743	32.748643	32.781419	1982-1999 –> 2000-2009	7.952964	4.2139915	62523.254	104.002023	7	18
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5051	4.1025661	28606.228	22.874062	25.705995	1982-1999 –> 2000-2009	8.101204	3.9986375	62821.084	49.678533	9	14
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	5051	4.2860421	29046.201	22.569124	27.307616	1982-1999 –> 2000-2009	8.285318	3.9992760	63261.004	38.492935	11	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	5051	4.1820769	28800.139	18.784304	24.193170	1982-1999 –> 2000-2009	8.328974	4.1468967	63458.937	46.406714	10	19
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5358	4.5446861	31442.926	63.022426	18.087202	2000-2009 –> 2010-2019	8.111338	3.5666519	58637.023	129.053299	1	2
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5358	4.5712566	31505.395	64.866312	18.831551	2000-2009 –> 2010-2019	8.138475	3.5672185	58701.096	145.107150	2	4
Atlantic	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5358	4.6700428	31734.504	60.873231	19.720824	2000-2009 –> 2010-2019	8.254183	3.5841398	58978.011	138.196545	3	6
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5358	4.7090792	31821.706	38.009731	17.808823	2000-2009 –> 2010-2019	8.359170	3.6500913	59247.409	71.750376	4	9
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	5358	4.7157645	31836.908	38.148510	18.210813	2000-2009 –> 2010-2019	8.410763	3.6949988	59386.139	71.522460	5	11
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5358	4.7883710	32000.640	61.964060	18.955191	2000-2009 –> 2010-2019	8.527343	3.7389720	59669.383	94.712703	6	13
Atlantic	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	5358	5.2592759	33005.834	59.529921	28.450429	2000-2009 –> 2010-2019	8.876099	3.6168226	60339.041	98.533373	13	17
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5358	4.8612762	32162.567	34.789630	17.840979	2000-2009 –> 2010-2019	8.963842	4.1025661	60768.795	57.663693	7	16
Atlantic	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	5358	4.8789445	32201.444	35.042802	18.173806	2000-2009 –> 2010-2019	9.061021	4.1820769	61001.583	53.827106	9	19
Atlantic	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	5358	4.8636130	32165.717	20.926275	18.072168	2000-2009 –> 2010-2019	9.149655	4.2860421	61211.918	43.495399	8	19
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1148	3.8819078	6386.009	121.811728	15.001589	1982-1999 –> 2000-2009	6.803581	2.9216729	13584.327	239.638350	1	5
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1148	3.9178036	6407.142	151.082039	15.576534	1982-1999 –> 2000-2009	6.828660	2.9108565	13594.763	292.719650	3	4
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1148	3.9683823	6436.594	150.345156	15.921771	1982-1999 –> 2000-2009	6.879811	2.9114283	13624.781	293.891957	5	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1148	3.9892293	6446.624	41.259277	17.517335	1982-1999 –> 2000-2009	6.943266	2.9540370	13674.713	91.250917	6	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1148	4.0611341	6487.640	41.685439	18.084764	1982-1999 –> 2000-2009	6.982971	2.9218367	13684.120	92.180108	9	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1148	4.1838589	6555.996	47.080680	18.304202	1982-1999 –> 2000-2009	7.095307	2.9114486	13742.204	99.108622	11	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1148	4.0024629	6454.228	89.964893	15.435411	1982-1999 –> 2000-2009	7.151960	3.1494972	13867.095	182.131675	7	14
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1148	3.9303993	6412.512	82.026498	15.140876	1982-1999 –> 2000-2009	7.169982	3.2395825	13906.713	153.051592	4	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1148	3.8836889	6385.062	69.944246	14.872339	1982-1999 –> 2000-2009	7.206296	3.3226067	13952.243	139.120961	2	12
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1148	4.0396515	6473.463	20.220594	15.762251	1982-1999 –> 2000-2009	7.473489	3.4338377	14133.610	60.031647	8	21
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1522	4.1125570	8637.602	174.809351	15.041945	2000-2009 –> 2010-2019	7.994465	3.8819078	15023.611	296.621079	1	2
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1522	4.1687063	8678.881	216.080049	16.248384	2000-2009 –> 2010-2019	8.086510	3.9178036	15086.023	367.162088	3	6
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1522	4.2352348	8725.076	86.392857	16.456786	2000-2009 –> 2010-2019	8.118924	3.8836889	15110.139	156.337103	5	7
Atlantic	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1522	4.1454967	8659.886	46.853956	13.564072	2000-2009 –> 2010-2019	8.134726	3.9892293	15106.510	88.113233	2	8
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	1522	4.2457391	8732.617	100.405062	17.793845	2000-2009 –> 2010-2019	8.176139	3.9303993	15145.129	182.431559	6	10
Atlantic	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1522	4.2525387	8739.488	217.224570	17.307794	2000-2009 –> 2010-2019	8.220921	3.9683823	15176.082	367.569726	7	12
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	1522	4.2248012	8717.568	47.836236	14.433879	2000-2009 –> 2010-2019	8.285935	4.0611341	15205.209	89.521675	4	13
Atlantic	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1522	4.2931460	8766.417	122.902455	18.571491	2000-2009 –> 2010-2019	8.295609	4.0024629	15220.645	212.867347	8	15
Atlantic	(28.05,28.1]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1522	4.3608998	8814.082	60.525797	14.850936	2000-2009 –> 2010-2019	8.544759	4.1838589	15370.078	107.606477	9	20
Atlantic	(28.05,28.1]	3	cstar_tref ~ oxygen + aou + nitrate	1522	4.5885440	8966.974	26.549007	14.829790	2000-2009 –> 2010-2019	8.628195	4.0396515	15440.437	46.769601	10	18
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1113	4.7908593	6660.053	172.769779	21.623169	1982-1999 –> 2000-2009	8.337403	3.5465436	13536.688	302.970331	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1113	4.9259774	6719.965	126.455123	20.897932	1982-1999 –> 2000-2009	8.474555	3.5485775	13596.065	233.778254	3	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1113	4.9213337	6719.865	237.385088	22.043155	1982-1999 –> 2000-2009	8.521240	3.5999061	13634.672	402.348050	2	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1113	5.0828673	6789.756	165.318577	20.393258	1982-1999 –> 2000-2009	8.683098	3.6002307	13702.794	295.787035	7	11
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1113	5.0450007	6775.111	229.375511	22.417395	1982-1999 –> 2000-2009	8.781494	3.7364935	13785.103	395.804206	5	12
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1113	5.1748027	6829.659	55.131746	17.840061	1982-1999 –> 2000-2009	8.863557	3.6887545	13804.784	106.140654	9	14
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1113	5.1771393	6828.664	23.140547	17.805981	1982-1999 –> 2000-2009	8.914475	3.7373359	13835.232	67.514191	10	18
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1113	5.2128420	6845.962	55.219466	18.266440	1982-1999 –> 2000-2009	8.925112	3.7122696	13837.329	106.613330	11	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1113	5.2272985	6850.127	23.229178	18.265696	1982-1999 –> 2000-2009	8.975872	3.7485739	13864.369	66.724245	12	22
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1113	5.2832433	6875.824	165.857444	20.183596	1982-1999 –> 2000-2009	9.021376	3.7381331	13884.937	316.547909	15	24
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1453	4.8994360	8755.418	181.378098	17.212820	2000-2009 –> 2010-2019	9.690295	4.7908593	15415.472	354.147877	1	2
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1453	4.9035589	8755.863	135.255639	17.267215	2000-2009 –> 2010-2019	9.829536	4.9259774	15475.827	261.710763	2	5
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1453	5.1117247	8878.681	243.894614	18.439112	2000-2009 –> 2010-2019	10.033058	4.9213337	15598.547	481.279702	3	5
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + aou + nitrate	1453	5.1133347	8877.597	172.324353	18.480364	2000-2009 –> 2010-2019	10.196202	5.0828673	15667.353	337.642930	4	11
Atlantic	(28.1,28.15]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1453	5.1929581	8922.499	38.852130	18.143987	2000-2009 –> 2010-2019	10.367761	5.1748027	15752.158	93.983876	5	14
Atlantic	(28.1,28.15]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1453	5.3921624	9033.890	255.011413	18.150970	2000-2009 –> 2010-2019	10.437163	5.0450007	15809.001	484.386924	8	13
Atlantic	(28.1,28.15]	3	cstar_tref ~ oxygen + aou + nitrate	1453	5.3384592	9000.802	28.172336	18.922920	2000-2009 –> 2010-2019	10.515598	5.1771393	15829.466	51.312882	7	17
Atlantic	(28.1,28.15]	4	cstar_tref ~ temp + aou + nitrate + silicate	1453	5.3038724	8983.914	38.924717	18.735828	2000-2009 –> 2010-2019	10.516715	5.2128420	15829.876	94.144183	6	17
Atlantic	(28.1,28.15]	3	cstar_tref ~ temp + aou + nitrate	1453	5.4096112	9039.278	28.221568	19.286802	2000-2009 –> 2010-2019	10.636910	5.2272985	15889.405	51.450746	10	22
Atlantic	(28.1,28.15]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1453	5.3923030	9031.966	208.417074	18.130684	2000-2009 –> 2010-2019	10.675546	5.2832433	15907.789	374.274518	9	24
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	813	5.1593347	4989.147	420.403725	19.332797	1982-1999 –> 2000-2009	9.012222	3.8528873	9027.472	721.336368	1	2
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	813	5.1880889	4998.184	421.081285	19.391645	1982-1999 –> 2000-2009	9.144460	3.9563714	9075.047	720.843364	2	4
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	813	5.2533564	5016.512	58.876532	16.439279	1982-1999 –> 2000-2009	9.214572	3.9612155	9093.154	116.041100	4	7
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	813	5.2340208	5012.516	408.334385	18.197888	1982-1999 –> 2000-2009	9.262937	4.0289165	9115.798	726.281415	3	7
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	813	5.2824459	5025.491	59.522769	16.774637	1982-1999 –> 2000-2009	9.358455	4.0760086	9143.669	115.074879	5	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	813	5.2995111	5030.735	59.840818	16.960593	1982-1999 –> 2000-2009	9.383305	4.0837940	9151.688	117.706334	6	12
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	813	5.4255421	5068.952	88.650789	17.191594	1982-1999 –> 2000-2009	9.522297	4.0967553	9194.512	152.634741	8	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	813	5.4135483	5065.353	339.592013	23.914380	1982-1999 –> 2000-2009	9.658861	4.2453127	9242.706	630.182381	7	16
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	813	5.4407910	5073.515	339.508404	23.871024	1982-1999 –> 2000-2009	9.784769	4.3439783	9284.273	628.828902	9	19
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	813	5.5104112	5094.189	335.816596	22.610071	1982-1999 –> 2000-2009	9.928078	4.4176672	9329.406	652.128799	10	21
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1066	4.1900533	6093.722	377.425574	21.495405	2000-2009 –> 2010-2019	9.349388	5.1593347	11082.869	797.829300	2	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1066	4.1882938	6092.827	377.810402	21.276486	2000-2009 –> 2010-2019	9.376383	5.1880889	11091.011	798.891687	1	3
Atlantic	(28.15,28.2]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1066	4.1917562	6094.588	368.631339	20.983935	2000-2009 –> 2010-2019	9.425777	5.2340208	11107.105	776.965724	3	6
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	1066	4.2568638	6125.449	50.033062	20.301239	2000-2009 –> 2010-2019	9.510220	5.2533564	11141.961	108.909593	6	10
Atlantic	(28.15,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	1066	4.2539234	6123.975	49.282038	20.314117	2000-2009 –> 2010-2019	9.536369	5.2824459	11149.466	108.804807	4	9
Atlantic	(28.15,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	1066	4.2540776	6124.053	48.842794	20.453080	2000-2009 –> 2010-2019	9.553589	5.2995111	11154.788	108.683612	5	11
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	1066	4.4224830	6206.824	70.694577	20.561782	2000-2009 –> 2010-2019	9.848025	5.4255421	11275.776	159.345366	7	15
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1066	4.7953792	6379.413	287.625648	24.126455	2000-2009 –> 2010-2019	10.208927	5.4135483	11444.766	627.217661	10	17
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	1066	4.7892602	6376.690	287.996088	23.968466	2000-2009 –> 2010-2019	10.230051	5.4407910	11450.206	627.504492	9	18
Atlantic	(28.15,28.2]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1066	4.7816529	6373.301	276.707344	23.689207	2000-2009 –> 2010-2019	10.292064	5.5104112	11467.491	612.523939	8	18
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1449	2.7421633	7049.433	47.568124	17.603221	1982-1999 –> 2000-2009	5.044209	2.3020461	12271.761	72.804969	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1449	2.7468892	7054.423	47.860837	17.568659	1982-1999 –> 2000-2009	5.060352	2.3134628	12288.189	73.168789	2	5
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1449	2.7482880	7055.899	47.433807	17.572118	1982-1999 –> 2000-2009	5.063245	2.3149571	12291.157	72.649002	3	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	1449	2.7633114	7069.697	7.595156	18.108031	1982-1999 –> 2000-2009	5.066471	2.3031599	12291.143	16.781063	4	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1449	2.7676476	7074.241	2.941485	18.068875	1982-1999 –> 2000-2009	5.082315	2.3146671	12307.210	5.584044	7	11
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	1449	2.7679450	7074.553	2.965965	18.063109	1982-1999 –> 2000-2009	5.083774	2.3158292	12308.682	5.790932	8	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + nitrate + silicate	1449	2.7722531	7079.060	15.756914	17.855574	1982-1999 –> 2000-2009	5.102961	2.3307079	12327.995	22.701675	13	20
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1449	2.7663162	7072.847	8.838749	18.045318	1982-1999 –> 2000-2009	5.120724	2.3544082	12345.174	18.345946	5	14
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + silicate	1449	2.7728108	7077.643	2.075480	17.937992	1982-1999 –> 2000-2009	5.125067	2.3522562	12345.855	4.179104	14	22
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1449	2.7714334	7078.203	8.886024	18.012988	1982-1999 –> 2000-2009	5.138983	2.3675499	12363.399	18.436760	9	19
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1884	2.1445639	8235.304	20.006336	25.573129	2000-2009 –> 2010-2019	4.886727	2.7421633	15284.737	67.574461	1	2
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1884	2.1530160	8250.125	20.073868	25.616902	2000-2009 –> 2010-2019	4.899905	2.7468892	15304.549	67.934705	2	4
Atlantic	(28.2, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1884	2.1543644	8252.484	19.915777	25.639235	2000-2009 –> 2010-2019	4.902652	2.7482880	15308.383	67.349583	3	6
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	1884	2.1597827	8259.949	14.898256	26.141994	2000-2009 –> 2010-2019	4.923094	2.7633114	15329.646	22.493413	4	8
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1884	2.1624362	8264.576	15.830015	25.965038	2000-2009 –> 2010-2019	4.928752	2.7663162	15337.423	24.668764	5	10
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + oxygen + aou	1884	2.1626821	8263.004	13.731260	26.029833	2000-2009 –> 2010-2019	4.929141	2.7664585	15334.000	21.004845	6	12
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1884	2.1670190	8272.553	7.091336	26.164019	2000-2009 –> 2010-2019	4.934667	2.7676476	15346.794	10.032820	7	14
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	1884	2.1675438	8273.465	7.439124	26.166509	2000-2009 –> 2010-2019	4.935489	2.7679450	15348.018	10.405089	8	16
Atlantic	(28.2, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1884	2.1706949	8278.939	7.539213	26.009202	2000-2009 –> 2010-2019	4.942128	2.7714334	15357.142	16.425237	9	18
Atlantic	(28.2, Inf]	3	cstar_tref ~ sal + temp + aou	1884	2.1707413	8277.019	6.904109	26.037319	2000-2009 –> 2010-2019	4.942212	2.7714711	15353.261	9.833720	10	20
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4080	10.3187826	30637.699	66.233396	75.492686	1982-1999 –> 2000-2009	22.843822	12.5250393	49753.574	206.767350	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4080	10.3198502	30636.543	66.233396	76.528119	1982-1999 –> 2000-2009	22.856481	12.5366307	49754.895	206.678420	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4080	10.5702029	30834.137	22.260411	82.590262	1982-1999 –> 2000-2009	23.640173	13.0699702	50156.135	46.451621	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	4080	10.6045558	30858.613	14.578991	88.753719	1982-1999 –> 2000-2009	23.674535	13.0699794	50178.615	33.996130	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4080	10.6601587	30903.287	20.524059	85.520299	1982-1999 –> 2000-2009	24.013400	13.3532416	50329.064	42.782893	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4080	10.7098064	30939.202	12.321663	93.166473	1982-1999 –> 2000-2009	24.065228	13.3554213	50363.769	29.428579	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	4080	10.9175966	31096.005	6.237032	106.137015	1982-1999 –> 2000-2009	25.714552	14.7969551	51016.668	11.696545	7	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	4080	10.9271653	31103.154	5.741908	105.573395	1982-1999 –> 2000-2009	25.721998	14.7948322	51023.122	10.962848	8	16
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	4080	10.9665441	31132.508	26.892604	108.331583	1982-1999 –> 2000-2009	25.888438	14.9218936	51093.865	86.156572	11	25
Indo-Pacific	(-Inf,26]	3	cstar_tref ~ sal + temp + oxygen	4080	10.9452797	31114.670	1.974646	103.832543	1982-1999 –> 2000-2009	26.086581	15.1413010	51144.675	4.567754	9	25
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5187	10.5784472	39204.453	92.573610	70.204058	2000-2009 –> 2010-2019	20.897230	10.3187826	69842.152	158.807006	1	2
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + nitrate	5187	10.5862560	39210.108	92.005661	67.597572	2000-2009 –> 2010-2019	20.906106	10.3198502	69846.652	158.239057	2	4
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5187	11.1683482	39767.399	32.235228	83.177122	2000-2009 –> 2010-2019	21.738551	10.5702029	70601.536	54.495640	3	6
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + nitrate	5187	11.1788066	39775.109	26.732504	86.519124	2000-2009 –> 2010-2019	21.783362	10.6045558	70633.722	41.311495	4	8
Indo-Pacific	(-Inf,26]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5187	11.4159461	39994.874	28.764334	91.615622	2000-2009 –> 2010-2019	22.076105	10.6601587	70898.161	49.288393	5	10
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5187	11.4442518	40018.564	21.955654	97.627418	2000-2009 –> 2010-2019	22.154058	10.7098064	70957.767	34.277316	6	12
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + oxygen + aou + silicate	5187	11.7951457	40331.864	27.720827	133.662849	2000-2009 –> 2010-2019	22.761690	10.9665441	71464.372	54.613432	7	19
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + aou + silicate	5187	11.9095298	40431.982	7.599747	131.735214	2000-2009 –> 2010-2019	22.827126	10.9175966	71527.987	13.836780	8	15
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + silicate	5187	11.9571430	40473.374	6.950942	131.425145	2000-2009 –> 2010-2019	22.884308	10.9271653	71576.528	12.692850	9	17
Indo-Pacific	(-Inf,26]	4	cstar_tref ~ sal + temp + oxygen + aou	5187	11.9698819	40484.420	663.040999	128.536501	2000-2009 –> 2010-2019	22.914358	10.9444762	71600.491	1219.569625	10	19
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2819	10.2636235	21142.656	609.903507	38.437270	1982-1999 –> 2000-2009	20.407182	10.1435588	40545.341	1251.881490	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2819	10.2984177	21159.737	438.205777	38.044233	1982-1999 –> 2000-2009	20.467874	10.1694566	40573.655	959.723274	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2819	11.1682557	21616.895	269.532348	48.721046	1982-1999 –> 2000-2009	21.808608	10.6403526	41265.738	363.593181	4	7
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	2819	11.1962581	21629.013	91.767195	51.112853	1982-1999 –> 2000-2009	21.836628	10.6403696	41275.865	153.198279	5	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2819	10.8989245	21481.264	19.756130	45.177605	1982-1999 –> 2000-2009	21.872172	10.9732478	41291.994	34.814922	3	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2819	11.2037994	21634.810	17.597908	52.007436	1982-1999 –> 2000-2009	22.215278	11.0114789	41461.590	31.672870	6	12
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2819	11.5361176	21799.607	10.077649	52.318281	1982-1999 –> 2000-2009	22.722881	11.1867631	41708.353	15.584459	8	15
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2819	11.2717801	21670.916	22.161205	48.079112	1982-1999 –> 2000-2009	22.745556	11.4737760	41713.139	38.021105	7	16
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2819	11.7250722	21889.206	7.416998	59.502444	1982-1999 –> 2000-2009	22.969057	11.2439852	41822.432	11.424831	9	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2819	11.7673156	21911.482	18.511212	57.020885	1982-1999 –> 2000-2009	23.361210	11.5938943	42005.757	32.948470	10	20
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2672	11.2046465	20509.667	458.873054	63.662003	2000-2009 –> 2010-2019	21.468270	10.2636235	41652.323	1068.776561	1	2
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2672	11.2826373	20544.736	355.820248	61.850962	2000-2009 –> 2010-2019	21.581055	10.2984177	41704.472	794.026025	2	4
Indo-Pacific	(26,26.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2672	11.8675720	20814.846	171.029618	62.113155	2000-2009 –> 2010-2019	23.035828	11.1682557	42431.741	440.561966	3	7
Indo-Pacific	(26,26.5]	3	cstar_tref ~ oxygen + aou + nitrate	2672	11.9391448	20844.979	69.639920	60.330546	2000-2009 –> 2010-2019	23.135403	11.1962581	42473.992	161.407115	4	9
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2672	12.3419147	21026.286	14.486809	62.156912	2000-2009 –> 2010-2019	23.240839	10.8989245	42507.550	34.242939	5	8
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + aou + nitrate	2672	12.3476177	21026.755	13.347986	62.616897	2000-2009 –> 2010-2019	23.551417	11.2037994	42661.564	30.945895	6	12
Indo-Pacific	(26,26.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2672	12.9298949	21275.000	16.130079	61.819630	2000-2009 –> 2010-2019	24.201675	11.2717801	42945.916	38.291283	9	16
Indo-Pacific	(26,26.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	2672	12.6854958	21171.022	9.181388	60.721035	2000-2009 –> 2010-2019	24.221613	11.5361176	42970.629	19.259037	7	15
Indo-Pacific	(26,26.5]	3	cstar_tref ~ temp + aou + nitrate	2672	12.6858330	21169.164	6.147893	60.839357	2000-2009 –> 2010-2019	24.410905	11.7250722	43058.370	13.564891	8	17
Indo-Pacific	(26,26.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2672	12.9839395	21295.291	14.013784	63.250517	2000-2009 –> 2010-2019	24.751255	11.7673156	43206.773	32.524997	10	20
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2526	10.3892644	19006.063	696.479441	56.550573	1982-1999 –> 2000-2009	20.481674	10.0924094	35791.389	1508.449033	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2526	10.8541793	19227.225	210.692942	61.464313	1982-1999 –> 2000-2009	21.139719	10.2855395	36097.775	314.556331	2	4
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2526	10.8896681	19241.716	52.122914	62.780719	1982-1999 –> 2000-2009	21.180555	10.2908871	36112.603	94.022398	3	6
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2526	10.9164700	19258.135	48.261654	58.478481	1982-1999 –> 2000-2009	21.371198	10.4547286	36204.039	92.833396	4	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2526	11.0907129	19336.135	44.465564	61.613934	1982-1999 –> 2000-2009	21.547997	10.4572841	36281.138	81.817345	5	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2526	11.2817181	19424.401	52.094262	59.332983	1982-1999 –> 2000-2009	22.084850	10.8031321	36517.692	99.329107	6	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2526	11.3538651	19454.606	9.407838	62.628879	1982-1999 –> 2000-2009	22.088879	10.7350141	36517.458	14.079379	7	13
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2526	11.5246896	19528.049	3.233620	65.810074	1982-1999 –> 2000-2009	22.299016	10.7743265	36605.336	4.810219	8	15
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2526	11.5698563	19549.810	45.091353	63.506465	1982-1999 –> 2000-2009	22.413603	10.8437465	36657.972	83.145455	9	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	2526	11.7681854	19635.677	9.211164	63.729936	1982-1999 –> 2000-2009	22.907107	11.1389218	36864.587	13.766521	10	20
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2685	11.5816964	20787.117	813.720399	65.789907	2000-2009 –> 2010-2019	21.952008	10.3703120	39785.956	1723.511590	1	2
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	2685	11.9278365	20943.258	581.586747	62.628549	2000-2009 –> 2010-2019	22.317101	10.3892644	39949.321	1278.066187	2	4
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	2685	12.4844245	21190.167	34.985650	65.894926	2000-2009 –> 2010-2019	23.400894	10.9164700	40448.302	83.247304	3	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	2685	12.7313692	21293.350	159.779351	72.137150	2000-2009 –> 2010-2019	23.585549	10.8541793	40520.575	370.472293	5	8
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + aou + nitrate	2685	12.5477013	21215.316	30.227733	64.361430	2000-2009 –> 2010-2019	23.638414	11.0907129	40551.452	74.693297	4	10
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ oxygen + aou + nitrate	2685	12.8722298	21350.438	46.368523	69.561665	2000-2009 –> 2010-2019	23.761898	10.8896681	40592.154	98.491437	6	10
Indo-Pacific	(26.5,26.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	2685	12.9138785	21371.785	37.570840	66.177076	2000-2009 –> 2010-2019	24.195597	11.2817181	40796.186	89.665102	7	14
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	2685	12.9298214	21376.410	30.719283	65.250778	2000-2009 –> 2010-2019	24.499678	11.5698563	40926.220	75.810635	8	18
Indo-Pacific	(26.5,26.75]	4	cstar_tref ~ temp + aou + nitrate + silicate	2685	13.4144177	21573.992	6.966335	71.329284	2000-2009 –> 2010-2019	24.768283	11.3538651	41028.598	16.374173	9	17
Indo-Pacific	(26.5,26.75]	3	cstar_tref ~ temp + aou + nitrate	2685	13.4321549	21579.088	2.293440	70.405397	2000-2009 –> 2010-2019	24.956844	11.5246896	41107.138	5.527060	10	19
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3379	8.8682036	24352.334	927.311389	74.349603	1982-1999 –> 2000-2009	21.865510	12.9973067	45910.079	1810.720920	1	6
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3379	8.9192886	24389.152	206.822193	75.532335	1982-1999 –> 2000-2009	21.919684	13.0003952	45946.182	306.944813	2	8
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3379	9.2054623	24604.575	45.342009	73.524005	1982-1999 –> 2000-2009	22.113856	12.9083933	46125.197	83.358750	3	4
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3379	9.2567422	24640.117	9.921538	75.005825	1982-1999 –> 2000-2009	22.192426	12.9356834	46170.160	15.255909	4	7
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3379	9.4876348	24806.615	41.743468	74.541050	1982-1999 –> 2000-2009	22.396232	12.9085972	46325.323	71.214746	7	9
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3379	9.3869350	24734.503	751.446712	76.078790	1982-1999 –> 2000-2009	22.412457	13.0255221	46301.976	1301.666351	5	13
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3379	9.4297187	24763.235	43.653713	77.183023	1982-1999 –> 2000-2009	22.473251	13.0435326	46336.180	78.505124	6	16
Indo-Pacific	(26.75,27]	3	cstar_tref ~ temp + aou + nitrate	3379	9.5510130	24849.609	2.258456	76.242654	1982-1999 –> 2000-2009	22.488292	12.9372787	46378.319	3.541194	9	13
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3379	9.5447629	24849.185	47.891201	73.278441	1982-1999 –> 2000-2009	22.567845	13.0230823	46417.644	88.690705	8	15
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3379	9.5992819	24885.676	9.740577	74.836823	1982-1999 –> 2000-2009	22.672228	13.0729458	46472.802	14.918050	10	21
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3831	9.9784656	28511.797	810.719881	73.843561	2000-2009 –> 2010-2019	18.846669	8.8682036	52864.131	1738.031271	1	2
Indo-Pacific	(26.75,27]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3831	10.1884732	28669.378	174.252718	76.316512	2000-2009 –> 2010-2019	19.107762	8.9192886	53058.530	381.074911	3	5
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3831	10.0508732	28567.194	32.473490	72.332234	2000-2009 –> 2010-2019	19.256335	9.2054623	53171.769	77.815498	2	5
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + aou + nitrate + silicate	3831	10.2968131	28750.423	8.097835	75.542192	2000-2009 –> 2010-2019	19.553555	9.2567422	53390.539	18.019373	5	9
Indo-Pacific	(26.75,27]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3831	10.2095867	28687.240	34.232680	71.973190	2000-2009 –> 2010-2019	19.754350	9.5447629	53536.424	82.123881	4	12
Indo-Pacific	(26.75,27]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3831	10.4577274	28869.235	7.953201	75.225337	2000-2009 –> 2010-2019	20.057009	9.5992819	53754.911	17.693778	6	16
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + aou + nitrate	3831	10.6023641	28974.479	29.392044	73.514140	2000-2009 –> 2010-2019	20.089999	9.4876348	53781.094	71.135512	7	14
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3831	10.7746227	29097.965	639.158971	75.696814	2000-2009 –> 2010-2019	20.161558	9.3869350	53832.468	1390.605684	9	14
Indo-Pacific	(26.75,27]	3	cstar_tref ~ oxygen + aou + nitrate	3831	10.9227115	29200.556	43.118657	77.801262	2000-2009 –> 2010-2019	20.352430	9.4297187	53963.790	86.772371	12	18
Indo-Pacific	(26.75,27]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3831	10.6387216	29000.709	29.538275	73.018157	2000-2009 –> 2010-2019	20.358310	9.7195884	53970.555	71.869678	8	19
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	5552	16.9233755	47179.732	31.185660	189.000147	1982-1999 –> 2000-2009	41.169003	24.2456278	83700.985	61.452532	5	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	5552	16.9270159	47180.120	15.027284	188.614279	1982-1999 –> 2000-2009	41.173067	24.2460507	83699.512	22.169780	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	5552	16.8545745	47134.497	28.416085	189.623066	1982-1999 –> 2000-2009	41.188261	24.3336870	83684.478	56.675432	3	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	5552	16.8549541	47132.747	15.282127	189.499893	1982-1999 –> 2000-2009	41.188659	24.3337045	83680.734	22.590024	4	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	5552	16.8323366	47119.837	866.923040	190.909049	1982-1999 –> 2000-2009	41.429824	24.5974875	83755.259	1855.506973	1	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	5552	16.8346280	47119.349	289.635482	191.167097	1982-1999 –> 2000-2009	41.449008	24.6143795	83758.211	412.427932	2	12
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	5552	17.0324816	47249.090	22.928649	183.513730	1982-1999 –> 2000-2009	41.523823	24.4913408	83848.244	45.121695	7	14
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	5552	17.0594412	47266.652	22.941105	183.669259	1982-1999 –> 2000-2009	41.525445	24.4660041	83857.604	44.953083	9	14
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	5552	17.0325450	47247.132	2.108494	183.466267	1982-1999 –> 2000-2009	41.535012	24.5024671	83847.884	3.400968	8	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	5552	17.0617110	47266.130	2.107684	183.386582	1982-1999 –> 2000-2009	41.539261	24.4775503	83858.820	3.458082	10	16
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6292	18.5256316	54604.572	24.382835	189.678839	2000-2009 –> 2010-2019	35.380206	16.8545745	101739.070	52.798920	1	4
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + aou + nitrate + silicate	6292	18.5263173	54603.038	10.213166	189.509059	2000-2009 –> 2010-2019	35.381271	16.8549541	101735.785	25.495293	2	6
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	6292	18.5719823	54636.018	539.088016	191.521055	2000-2009 –> 2010-2019	35.404319	16.8323366	101755.855	1406.011057	5	6
Indo-Pacific	(27,27.25]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6292	18.5720446	54634.060	176.851338	191.478524	2000-2009 –> 2010-2019	35.406673	16.8346280	101753.409	466.486821	6	8
Indo-Pacific	(27,27.25]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6292	18.5478874	54619.681	27.097914	188.949151	2000-2009 –> 2010-2019	35.471263	16.9233755	101799.413	58.283574	3	8
Indo-Pacific	(27,27.25]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6292	18.5504289	54619.405	10.082582	188.620388	2000-2009 –> 2010-2019	35.477445	16.9270159	101799.526	25.109866	4	10
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + aou + nitrate	6292	18.7664149	54765.077	18.220998	184.976964	2000-2009 –> 2010-2019	35.798896	17.0324816	102014.167	41.149647	9	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + aou + nitrate	6292	18.7704513	54765.783	1.982136	184.514371	2000-2009 –> 2010-2019	35.802996	17.0325450	102012.915	4.090630	10	18
Indo-Pacific	(27,27.25]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6292	18.7541860	54756.874	18.099783	184.644007	2000-2009 –> 2010-2019	35.813627	17.0594412	102023.526	41.040888	7	16
Indo-Pacific	(27,27.25]	3	cstar_tref ~ temp + oxygen + nitrate	6292	18.7610834	54759.501	1.980509	184.040792	2000-2009 –> 2010-2019	35.822794	17.0617110	102025.631	4.088194	8	18
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7387	23.0789211	67351.797	14.880502	203.690821	1982-1999 –> 2000-2009	54.646433	31.5675120	123821.464	27.554826	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7387	23.0724685	67347.666	595.851844	203.986742	1982-1999 –> 2000-2009	54.650290	31.5778217	123821.118	1173.494850	2	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7387	23.0724572	67347.659	15.010549	203.901876	1982-1999 –> 2000-2009	54.671646	31.5991886	123828.950	26.455648	1	4
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	7387	23.1601509	67401.706	11.849164	201.653215	1982-1999 –> 2000-2009	54.833862	31.6737115	123908.298	20.543590	4	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	7387	23.6860731	67733.442	10.205302	196.413300	1982-1999 –> 2000-2009	55.287146	31.6010725	124213.424	18.788748	8	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7387	23.7830153	67793.786	243.425177	206.754083	1982-1999 –> 2000-2009	56.882627	33.0996112	124810.738	365.905601	9	17
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	7387	23.8706706	67848.137	15.010319	206.383086	1982-1999 –> 2000-2009	56.904092	33.0334215	124841.889	24.680475	11	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7387	23.9339603	67887.256	14.878184	206.127885	1982-1999 –> 2000-2009	56.948742	33.0147817	124874.467	25.453491	12	18
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7387	23.3976176	67552.416	395.519577	215.619547	1982-1999 –> 2000-2009	57.324540	33.9269229	124855.494	881.200492	5	14
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	7387	23.4141680	67562.862	9.636023	215.777175	1982-1999 –> 2000-2009	57.368037	33.9538693	124875.143	19.796834	6	16
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7680	26.0286054	71870.149	292.555865	168.387800	2000-2009 –> 2010-2019	49.101074	23.0724685	139217.815	888.407708	1	3
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7680	26.0301517	71871.061	9.398686	168.319347	2000-2009 –> 2010-2019	49.102609	23.0724572	139218.720	24.409235	3	4
Indo-Pacific	(27.25,27.5]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7680	26.0295739	71870.720	11.296359	168.425165	2000-2009 –> 2010-2019	49.108495	23.0789211	139222.518	26.176861	2	5
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + aou + nitrate + silicate	7680	26.1139505	71918.430	7.561319	170.183453	2000-2009 –> 2010-2019	49.274101	23.1601509	139320.136	19.410484	5	9
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	7680	26.0659249	71890.156	6.528867	166.913956	2000-2009 –> 2010-2019	49.751998	23.6860731	139623.598	16.734169	4	12
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7680	27.7551661	72854.658	227.057704	189.874825	2000-2009 –> 2010-2019	51.152784	23.3976176	140407.073	622.577281	11	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + aou + nitrate	7680	27.7416701	72847.187	8.575216	189.853014	2000-2009 –> 2010-2019	51.155838	23.4141680	140410.049	18.211239	10	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7680	27.7153686	72832.617	8.572878	189.804595	2000-2009 –> 2010-2019	51.159381	23.4440126	140414.299	18.204296	9	16
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7680	27.5288304	72728.888	126.210486	172.551089	2000-2009 –> 2010-2019	51.311846	23.7830153	140522.673	369.635663	6	15
Indo-Pacific	(27.25,27.5]	4	cstar_tref ~ temp + aou + nitrate + silicate	7680	27.5310615	72730.132	9.110744	172.766265	2000-2009 –> 2010-2019	51.401732	23.8706706	140578.269	24.121063	7	18
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	7161	13.9895523	58121.925	408.274154	149.458488	1982-1999 –> 2000-2009	30.861827	16.8722750	98052.240	836.552206	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7161	13.9901521	58122.539	13.827703	149.576117	1982-1999 –> 2000-2009	30.862430	16.8722778	98052.855	26.498520	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7161	14.0001929	58132.814	14.535438	150.285631	1982-1999 –> 2000-2009	30.881458	16.8812654	98068.139	28.748058	3	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	7161	14.0150159	58145.970	10.833876	147.936343	1982-1999 –> 2000-2009	30.887386	16.8723699	98074.338	21.576785	4	7
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	7161	14.1866580	58320.306	4.549924	151.730859	1982-1999 –> 2000-2009	31.183862	16.9972040	98317.996	10.194693	6	11
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7161	14.1828941	58316.506	4.547092	152.429814	1982-1999 –> 2000-2009	31.184466	17.0015720	98316.612	10.329609	5	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	7161	14.1917594	58325.455	281.504791	151.398798	1982-1999 –> 2000-2009	31.189954	16.9981942	98323.693	639.170985	7	13
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	7161	14.3463113	58478.582	1.426295	148.019469	1982-1999 –> 2000-2009	31.359322	17.0130110	98483.013	2.635177	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	7161	14.8268637	58952.461	9.180552	141.059577	1982-1999 –> 2000-2009	32.287930	17.4610665	99203.351	19.400344	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7161	15.4090457	59504.059	178.635938	162.812613	1982-1999 –> 2000-2009	33.740808	18.3317626	100212.563	316.771307	10	21
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	8225	13.6258092	66322.375	301.858142	132.308111	2000-2009 –> 2010-2019	27.615361	13.9895523	124444.300	710.132296	1	2
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	8225	13.6276481	66324.595	11.540579	132.416093	2000-2009 –> 2010-2019	27.617800	13.9901521	124447.134	25.368282	2	4
Indo-Pacific	(27.5,27.75]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	8225	13.6449596	66345.479	13.716892	133.236225	2000-2009 –> 2010-2019	27.645152	14.0001929	124478.293	28.252330	3	6
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + aou + nitrate + silicate	8225	13.6558965	66356.658	8.831867	130.473191	2000-2009 –> 2010-2019	27.670912	14.0150159	124502.628	19.665743	4	8
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + oxygen + nitrate	8225	14.1126385	66897.853	5.182506	139.991329	2000-2009 –> 2010-2019	28.295533	14.1828941	125214.358	9.729598	5	10
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + temp + aou + nitrate	8225	14.1518552	66943.501	4.895829	139.443729	2000-2009 –> 2010-2019	28.338513	14.1866580	125263.807	9.445753	6	12
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + aou + nitrate	8225	14.1756763	66971.167	246.308388	138.978658	2000-2009 –> 2010-2019	28.367436	14.1917594	125296.623	527.813178	7	14
Indo-Pacific	(27.5,27.75]	3	cstar_tref ~ sal + aou + nitrate	8225	14.3982134	67225.402	1.338151	135.188697	2000-2009 –> 2010-2019	28.744525	14.3463113	125703.984	2.764447	8	16
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	8225	14.5126073	67357.581	8.335195	122.078757	2000-2009 –> 2010-2019	29.339471	14.8268637	126310.041	17.515747	9	18
Indo-Pacific	(27.5,27.75]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	8225	15.0024833	67903.688	133.568859	145.680157	2000-2009 –> 2010-2019	30.411529	15.4090457	127407.747	312.204797	10	20
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3055	6.2724641	19902.709	14.499928	48.933931	1982-1999 –> 2000-2009	12.929318	6.6568534	34593.693	29.030562	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3055	6.2826771	19912.649	673.105621	48.593506	1982-1999 –> 2000-2009	12.958722	6.6760445	34616.381	1216.423340	3	5
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3055	6.2802243	19910.263	14.068315	48.670033	1982-1999 –> 2000-2009	12.962532	6.6823076	34618.147	27.195266	2	5
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3055	6.2860494	19913.928	10.403468	50.457846	1982-1999 –> 2000-2009	12.987806	6.7017566	34632.680	21.113459	4	8
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3055	6.2976577	19925.201	668.529350	50.174365	1982-1999 –> 2000-2009	13.019406	6.7217483	34657.143	1211.792086	6	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3055	6.2950644	19922.684	10.399127	50.259719	1982-1999 –> 2000-2009	13.023191	6.7281263	34658.826	20.683826	5	12
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	3055	6.3072718	19934.521	14.051689	48.139080	1982-1999 –> 2000-2009	13.027198	6.7199261	34665.263	27.018491	7	12
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3055	6.3207254	19945.540	1.373662	49.322736	1982-1999 –> 2000-2009	13.086960	6.7662346	34704.691	2.462294	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3055	7.2145520	20755.686	13.939980	46.678962	1982-1999 –> 2000-2009	14.460032	7.2454798	35819.859	27.448393	15	24
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + oxygen + nitrate	3055	7.2570523	20789.574	1.367357	45.588604	1982-1999 –> 2000-2009	14.599821	7.3427689	35910.808	2.524339	16	26
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3770	5.7383315	23886.447	15.445342	43.834406	2000-2009 –> 2010-2019	12.010796	6.2724641	43789.156	29.945270	1	2
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3770	5.7498808	23901.607	13.602077	43.516555	2000-2009 –> 2010-2019	12.030105	6.2802243	43811.870	27.670392	2	4
Indo-Pacific	(27.75,27.85]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3770	5.7534811	23906.327	620.675809	43.403488	2000-2009 –> 2010-2019	12.036158	6.2826771	43818.976	1293.781430	3	6
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + aou + nitrate + silicate	3770	5.7840868	23944.330	13.238730	42.667589	2000-2009 –> 2010-2019	12.091359	6.3072718	43878.851	27.290419	4	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3770	5.8479413	24027.113	9.724356	45.390885	2000-2009 –> 2010-2019	12.133991	6.2860494	43941.041	20.127824	5	9
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + temp + aou + nitrate	3770	5.8661676	24050.576	9.228138	45.103854	2000-2009 –> 2010-2019	12.161232	6.2950644	43973.260	19.627265	6	11
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3770	5.8709715	24056.748	620.612069	44.983655	2000-2009 –> 2010-2019	12.168629	6.2976577	43981.949	1289.141419	7	13
Indo-Pacific	(27.75,27.85]	3	cstar_tref ~ sal + aou + nitrate	3770	5.8997900	24091.669	1.254103	44.254367	2000-2009 –> 2010-2019	12.220515	6.3207254	44037.209	2.627765	8	16
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	3770	6.3718157	24674.005	15.427098	48.319713	2000-2009 –> 2010-2019	13.172637	6.8008216	45068.855	29.920290	9	18
Indo-Pacific	(27.75,27.85]	4	cstar_tref ~ temp + aou + nitrate + silicate	3770	6.4045350	24712.624	13.588481	48.076738	2000-2009 –> 2010-2019	13.224448	6.8199134	45124.603	27.461718	10	20
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4122	4.1613132	23466.278	13.327035	42.640253	1982-1999 –> 2000-2009	8.951041	4.7897280	41780.854	25.608128	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4122	4.1803595	23503.924	784.217317	42.607793	1982-1999 –> 2000-2009	8.992304	4.8119443	41846.868	1582.854339	3	5
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4122	4.1794268	23502.085	13.310597	42.676866	1982-1999 –> 2000-2009	9.004095	4.8246682	41861.216	25.178081	2	5
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4122	4.1814488	23504.072	13.264952	42.412365	1982-1999 –> 2000-2009	9.090179	4.9087305	41967.089	24.668699	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4122	4.3427547	23816.116	11.161361	46.976166	1982-1999 –> 2000-2009	9.402139	5.0593847	42464.441	21.764853	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4122	4.3655377	23859.253	782.053658	46.985810	1982-1999 –> 2000-2009	9.445280	5.0797426	42532.194	1557.242534	7	13
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4122	4.3652002	23858.616	11.168214	47.077849	1982-1999 –> 2000-2009	9.454429	5.0892287	42542.993	21.645570	6	13
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4122	4.3655637	23857.302	1.241650	46.951498	1982-1999 –> 2000-2009	9.520328	5.1547641	42618.113	2.293080	8	17
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	4122	4.9312465	24863.788	13.282590	36.501118	1982-1999 –> 2000-2009	10.063853	5.1326065	43600.193	24.389535	12	20
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + oxygen + nitrate	4122	5.1253918	25180.131	1.244609	41.199134	1982-1999 –> 2000-2009	10.620422	5.4950297	44332.788	2.293352	16	26
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4455	3.8165820	24590.398	10.924067	38.599767	2000-2009 –> 2010-2019	7.977895	4.1613132	48056.675	24.251101	1	2
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4455	3.8180061	24593.722	10.884463	38.539951	2000-2009 –> 2010-2019	7.997433	4.1794268	48095.806	24.195061	2	4
Indo-Pacific	(27.85,27.95]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4455	3.8194016	24596.978	564.435112	38.503628	2000-2009 –> 2010-2019	7.999761	4.1803595	48100.902	1348.652430	3	6
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + aou + nitrate + silicate	4455	3.8678215	24707.223	10.878110	37.125298	2000-2009 –> 2010-2019	8.049270	4.1814488	48211.295	24.143062	4	8
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4455	3.9994592	25005.420	8.145209	41.981060	2000-2009 –> 2010-2019	8.342214	4.3427547	48821.537	19.306570	5	10
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + temp + aou + nitrate	4455	4.0019269	25010.916	8.061773	41.928471	2000-2009 –> 2010-2019	8.367127	4.3652002	48869.532	19.229987	6	12
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4455	4.0036105	25014.664	564.145613	41.890701	2000-2009 –> 2010-2019	8.369148	4.3655377	48873.917	1346.199271	7	14
Indo-Pacific	(27.85,27.95]	3	cstar_tref ~ sal + aou + nitrate	4455	4.0540390	25124.191	1.163923	40.490954	2000-2009 –> 2010-2019	8.419603	4.3655637	48981.493	2.405573	8	16
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4455	4.4569115	25970.346	83.778060	45.353993	2000-2009 –> 2010-2019	9.345135	4.8882238	50761.893	172.490881	9	19
Indo-Pacific	(27.85,27.95]	4	cstar_tref ~ temp + aou + nitrate + silicate	4455	4.4572560	25971.034	10.808969	45.461239	2000-2009 –> 2010-2019	9.345193	4.8879372	50762.099	24.116716	10	19
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6032	3.0377435	30536.566	15.857475	14.971646	1982-1999 –> 2000-2009	6.630285	3.5925412	57965.592	36.775846	1	2
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6032	3.0484614	30579.055	15.868232	15.046458	1982-1999 –> 2000-2009	6.647269	3.5988078	58025.792	36.795822	2	4
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	6032	3.0641189	30638.860	12.973869	14.195379	1982-1999 –> 2000-2009	6.662944	3.5988248	58083.645	20.624727	3	6
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6032	3.2662625	31409.584	129.008676	21.092059	1982-1999 –> 2000-2009	7.024458	3.7581960	59294.706	216.399077	4	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	6032	3.2689914	31419.659	12.547751	21.239113	1982-1999 –> 2000-2009	7.025150	3.7561581	59299.269	19.809288	5	12
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	6032	3.2965214	31520.832	15.299530	26.836971	1982-1999 –> 2000-2009	7.034062	3.7375402	59349.947	34.910722	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6032	3.2769046	31448.827	12.564268	21.418074	1982-1999 –> 2000-2009	7.035612	3.7587076	59335.332	19.832601	6	15
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	6032	3.3112400	31574.576	15.300795	27.034445	1982-1999 –> 2000-2009	7.059723	3.7484828	59433.400	34.915516	8	13
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	6032	3.3330773	31651.876	3.515039	26.177929	1982-1999 –> 2000-2009	7.083780	3.7507032	59514.717	6.966991	9	15
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ temp + oxygen + nitrate	6032	3.4467873	32056.582	3.095752	30.455095	1982-1999 –> 2000-2009	7.285454	3.8386667	60154.996	6.302870	11	21
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7030	3.0896135	35824.602	13.198424	15.752581	2000-2009 –> 2010-2019	6.127357	3.0377435	66361.168	29.055899	3	4
Indo-Pacific	(27.95,28.05]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7030	3.0833966	35796.283	13.218658	16.122860	2000-2009 –> 2010-2019	6.131858	3.0484614	66375.338	29.086890	1	3
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + aou + nitrate + silicate	7030	3.0844823	35799.233	11.014591	16.460389	2000-2009 –> 2010-2019	6.148601	3.0641189	66438.092	23.988460	2	5
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7030	3.3956701	37150.641	12.181624	27.776841	2000-2009 –> 2010-2019	6.692191	3.2965214	68671.473	27.481155	6	13
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ sal + temp + aou + nitrate	7030	3.3822745	37095.066	12.184345	28.000047	2000-2009 –> 2010-2019	6.693515	3.3112400	68669.642	27.485140	4	12
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ sal + aou + nitrate	7030	3.3831716	37096.795	2.445929	27.753348	2000-2009 –> 2010-2019	6.716249	3.3330773	68748.671	5.960969	5	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	7030	3.4533517	37387.470	118.908113	26.318625	2000-2009 –> 2010-2019	6.719614	3.2662625	68797.055	247.916789	7	11
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + aou + nitrate + silicate	7030	3.4791918	37492.284	10.287708	26.465005	2000-2009 –> 2010-2019	6.748183	3.2689914	68911.943	22.835458	9	14
Indo-Pacific	(27.95,28.05]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7030	3.5157466	37639.238	10.288327	26.512753	2000-2009 –> 2010-2019	6.792651	3.2769046	69088.065	22.852594	10	16
Indo-Pacific	(27.95,28.05]	3	cstar_tref ~ oxygen + aou + nitrate	7030	3.5919700	37938.809	104.797396	33.268768	2000-2009 –> 2010-2019	7.039888	3.4479176	69999.346	229.017861	11	23
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3274	2.8365257	16132.023	39.086705	15.712722	1982-1999 –> 2000-2009	6.285376	3.4488504	31960.365	80.579168	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3274	2.8319283	16121.402	39.102728	16.416929	1982-1999 –> 2000-2009	6.296316	3.4643882	31976.498	80.574110	1	3
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	3274	2.8986854	16271.966	32.970027	16.246848	1982-1999 –> 2000-2009	6.373189	3.4745034	32142.416	63.273418	4	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3274	2.8941837	16261.789	32.977871	16.955486	1982-1999 –> 2000-2009	6.383869	3.4896850	32158.190	63.263652	3	8
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3274	2.9498145	16386.458	35.296554	12.686844	1982-1999 –> 2000-2009	6.425341	3.4755267	32258.661	75.443123	5	9
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	3274	2.9889540	16470.768	17.363103	14.582178	1982-1999 –> 2000-2009	6.487705	3.4987513	32380.612	38.870410	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	3274	3.2051234	16929.996	34.401054	15.658782	1982-1999 –> 2000-2009	6.837451	3.6323280	33064.847	73.236086	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	3274	3.2294965	16977.602	16.621994	16.778977	1982-1999 –> 2000-2009	6.876445	3.6469488	33134.362	37.306617	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	3274	3.3546385	17228.542	258.299918	18.452261	1982-1999 –> 2000-2009	7.064006	3.7093679	33488.312	460.599404	11	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	3274	3.3540966	17227.484	30.023597	18.455437	1982-1999 –> 2000-2009	7.064604	3.7105070	33489.081	65.961380	10	20
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4754	2.8487462	23458.993	28.565164	12.214182	2000-2009 –> 2010-2019	5.680675	2.8319283	39580.394	67.667892	2	3
Indo-Pacific	(28.05,28.1]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4754	2.8475413	23454.971	28.513381	12.292747	2000-2009 –> 2010-2019	5.684067	2.8365257	39586.994	67.600086	1	3
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + oxygen + nitrate	4754	2.8793731	23558.668	20.922451	14.583756	2000-2009 –> 2010-2019	5.773557	2.8941837	39820.457	53.900321	4	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + temp + aou + nitrate	4754	2.8764672	23549.067	20.894742	14.588878	2000-2009 –> 2010-2019	5.775153	2.8986854	39821.034	53.864768	3	7
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	4754	3.1119894	24297.341	21.499319	17.327444	2000-2009 –> 2010-2019	6.061804	2.9498145	40683.799	56.795873	5	10
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + oxygen + nitrate	4754	3.1132370	24299.152	11.996045	17.745233	2000-2009 –> 2010-2019	6.102191	2.9889540	40769.920	29.359148	6	12
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ sal + aou + nitrate + silicate	4754	3.4055610	25154.463	20.396149	21.223879	2000-2009 –> 2010-2019	6.610684	3.2051234	42084.459	54.797203	7	14
Indo-Pacific	(28.05,28.1]	3	cstar_tref ~ sal + aou + nitrate	4754	3.4066792	25155.584	11.197238	20.827127	2000-2009 –> 2010-2019	6.636176	3.2294965	42133.186	27.819232	8	16
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4754	3.5096707	25440.773	236.010295	24.634066	2000-2009 –> 2010-2019	6.864309	3.3546385	42669.315	494.310214	9	20
Indo-Pacific	(28.05,28.1]	4	cstar_tref ~ temp + aou + nitrate + silicate	4754	3.5119590	25446.970	16.063041	24.718125	2000-2009 –> 2010-2019	6.866056	3.3540966	42674.454	46.086638	10	20
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	6135	2.0885699	26460.980	64.249260	23.864983	1982-1999 –> 2000-2009	4.720067	2.6314967	50339.893	112.388835	2	3
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	6135	2.0883786	26459.856	64.037516	23.864555	1982-1999 –> 2000-2009	4.720067	2.6316881	50339.497	112.032888	1	3
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + aou + nitrate + silicate	6135	2.1087101	26576.734	42.249477	24.505779	1982-1999 –> 2000-2009	4.766700	2.6579902	50553.822	81.211932	11	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	6135	2.1024419	26540.206	37.501711	24.541394	1982-1999 –> 2000-2009	4.773163	2.6707210	50565.076	73.924569	4	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	6135	2.1028196	26542.411	37.544497	24.550937	1982-1999 –> 2000-2009	4.773268	2.6704481	50566.259	74.077008	6	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	6135	2.1026450	26541.392	161.222206	24.537860	1982-1999 –> 2000-2009	4.773271	2.6706259	50565.906	241.893757	5	10
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + silicate	6135	2.1063412	26562.942	23.595102	21.690660	1982-1999 –> 2000-2009	4.782671	2.6763301	50608.792	43.176788	7	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	6135	2.1063937	26563.248	22.028621	21.677536	1982-1999 –> 2000-2009	4.783427	2.6770329	50611.724	40.868610	8	16
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	6135	2.0972252	26509.724	48.285954	24.087114	1982-1999 –> 2000-2009	4.791352	2.6941266	50621.850	92.933276	3	17
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ aou + nitrate + silicate	6135	2.1209904	26645.982	33.459296	23.755365	1982-1999 –> 2000-2009	4.807367	2.6863764	50727.299	68.304680	15	25
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	7833	2.0858901	33760.666	55.792601	26.219148	2000-2009 –> 2010-2019	4.174269	2.0883786	60220.522	119.830117	1	2
Indo-Pacific	(28.1,28.2]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	7833	2.0862594	33763.440	55.940140	26.226392	2000-2009 –> 2010-2019	4.174829	2.0885699	60224.420	120.189400	2	4
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + nitrate	7833	2.0891616	33783.217	22.968711	25.673952	2000-2009 –> 2010-2019	4.197652	2.1084902	60358.671	48.962371	3	12
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + nitrate	7833	2.0895015	33785.766	23.755618	25.682125	2000-2009 –> 2010-2019	4.198120	2.1086188	60361.968	51.948354	4	14
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + aou + silicate	7833	2.0976630	33846.838	10.607943	24.174610	2000-2009 –> 2010-2019	4.204057	2.1063937	60410.086	32.636564	5	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ sal + temp + oxygen + silicate	7833	2.0979714	33849.141	11.415112	24.185074	2000-2009 –> 2010-2019	4.204313	2.1063412	60412.083	35.010214	6	13
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + aou	7833	2.0993106	33857.138	9.821366	23.863406	2000-2009 –> 2010-2019	4.209318	2.1100074	60439.417	28.247707	7	19
Indo-Pacific	(28.1,28.2]	3	cstar_tref ~ sal + temp + oxygen	7833	2.0996303	33859.523	10.225542	23.873048	2000-2009 –> 2010-2019	4.209678	2.1100481	60442.040	29.221676	8	21
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + aou + nitrate + silicate	7833	2.1892895	34516.609	27.130287	28.496236	2000-2009 –> 2010-2019	4.291731	2.1024419	61056.816	64.631998	9	13
Indo-Pacific	(28.1,28.2]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	7833	2.1898774	34520.816	27.094532	28.525945	2000-2009 –> 2010-2019	4.292697	2.1028196	61063.226	64.639028	10	16
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	3218	1.8725247	13183.511	33.590859	7.799582	1982-1999 –> 2000-2009	4.148360	2.2758350	24583.242	54.032808	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	3218	1.8730462	13185.304	14.730770	7.793852	1982-1999 –> 2000-2009	4.150088	2.2770415	24587.727	35.171336	5	7
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	3218	1.8725759	13183.688	14.735747	7.803621	1982-1999 –> 2000-2009	4.151946	2.2793703	24591.303	35.192335	3	6
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	3218	1.8873354	13232.217	29.421927	7.641595	1982-1999 –> 2000-2009	4.176954	2.2896182	24660.621	47.101369	10	14
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + nitrate	3218	1.8878324	13233.911	5.757329	7.637142	1982-1999 –> 2000-2009	4.178777	2.2909444	24665.257	12.328675	12	17
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	3218	1.8873175	13232.156	4.679617	7.647522	1982-1999 –> 2000-2009	4.180571	2.2932538	24668.620	11.004764	9	15
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + nitrate + silicate	3218	1.9973103	13596.722	12.818153	9.045655	1982-1999 –> 2000-2009	4.306319	2.3090089	25067.968	33.236348	25	32
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ sal + oxygen + nitrate	3218	1.9973177	13594.746	5.749699	9.038389	1982-1999 –> 2000-2009	4.324898	2.3275808	25104.687	12.089257	26	34
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + silicate	3218	1.9402786	13410.272	23.211044	8.071431	1982-1999 –> 2000-2009	4.330733	2.3904546	25057.616	38.958519	17	26
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + oxygen + silicate	3218	1.9407568	13411.858	4.070032	8.072093	1982-1999 –> 2000-2009	4.332560	2.3918030	25062.067	8.497863	19	29
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	4206	1.8136012	16957.896	21.679644	23.826057	2000-2009 –> 2010-2019	3.686126	1.8725247	30141.408	55.270502	1	2
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	4206	1.8136414	16958.083	14.977884	23.826701	2000-2009 –> 2010-2019	3.686217	1.8725759	30141.771	29.713631	2	5
Indo-Pacific	(28.2,28.3]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	4206	1.8141045	16960.231	14.966785	23.822943	2000-2009 –> 2010-2019	3.687151	1.8730462	30145.534	29.697555	3	8
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ oxygen + aou + nitrate + silicate	4206	1.8146738	16960.870	15.890840	23.931591	2000-2009 –> 2010-2019	3.687210	1.8725367	30142.423	30.733615	5	7
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + aou + nitrate + silicate	4206	1.8146776	16960.888	14.728221	23.930671	2000-2009 –> 2010-2019	3.687259	1.8725813	30142.594	27.478158	6	10
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ temp + oxygen + nitrate + silicate	4206	1.8148095	16961.499	14.706369	23.909273	2000-2009 –> 2010-2019	3.687865	1.8730553	30144.834	27.417103	7	13
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + aou + nitrate + silicate	4206	1.8146673	16960.840	10.541892	23.871109	2000-2009 –> 2010-2019	3.688268	1.8736007	30146.049	20.715719	4	11
Indo-Pacific	(28.2,28.3]	3	cstar_tref ~ aou + nitrate + silicate	4206	1.8150111	16960.433	10.113616	23.925469	2000-2009 –> 2010-2019	3.689613	1.8746016	30147.080	20.224793	8	16
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + temp + aou + nitrate	4206	1.8421370	17087.223	5.026128	23.425568	2000-2009 –> 2010-2019	3.729455	1.8873175	30319.379	9.705744	9	18
Indo-Pacific	(28.2,28.3]	4	cstar_tref ~ sal + oxygen + aou + nitrate	4206	1.8421499	17087.282	20.317507	23.424229	2000-2009 –> 2010-2019	3.729485	1.8873354	30319.499	49.739435	11	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	638	0.8995602	1689.502	47.540409	6.709687	1982-1999 –> 2000-2009	1.805612	0.9060515	3575.658	73.267791	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	638	0.8995725	1689.519	7.898110	6.710090	1982-1999 –> 2000-2009	1.805640	0.9060678	3575.701	12.966956	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	638	0.8999444	1690.047	12.610177	6.717524	1982-1999 –> 2000-2009	1.806105	0.9061610	3576.374	20.250678	4	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	638	0.8998252	1687.878	6.646017	6.714997	1982-1999 –> 2000-2009	1.836271	0.9364459	3618.822	10.836375	3	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	638	0.9494289	1756.348	4.322626	5.796450	1982-1999 –> 2000-2009	1.948823	0.9993941	3779.543	7.733332	5	11
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	638	0.9494638	1756.395	38.994812	5.796604	1982-1999 –> 2000-2009	1.948889	0.9994246	3779.634	61.139708	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	638	0.9497491	1756.778	6.896443	5.802677	1982-1999 –> 2000-2009	1.948974	0.9992248	3779.733	12.039638	7	12
Indo-Pacific	(28.3, Inf]	3	cstar_tref ~ sal + aou + silicate	638	0.9514011	1756.996	4.164280	5.731265	1982-1999 –> 2000-2009	1.965192	1.0137907	3798.472	7.030930	8	16
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	638	0.9571907	1766.737	6.171533	4.501359	1982-1999 –> 2000-2009	1.999504	1.0423132	3849.557	10.847273	9	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	638	0.9577188	1767.441	9.847649	4.504064	1982-1999 –> 2000-2009	1.999605	1.0418861	3849.680	16.897915	12	21
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1139	0.7121637	2473.080	83.614134	4.254930	2000-2009 –> 2010-2019	1.611724	0.8995602	4162.582	131.154543	1	2
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + aou + nitrate + silicate	1139	0.7121666	2473.090	8.418660	4.257893	2000-2009 –> 2010-2019	1.611739	0.8995725	4162.609	16.316770	2	4
Indo-Pacific	(28.3, Inf]	5	cstar_tref ~ sal + temp + oxygen + nitrate + silicate	1139	0.7121756	2473.119	11.722632	4.264908	2000-2009 –> 2010-2019	1.612120	0.8999444	4163.166	24.332809	3	7
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + aou + nitrate + silicate	1139	0.7552706	2604.955	8.418368	4.627317	2000-2009 –> 2010-2019	1.655096	0.8998252	4292.832	15.064385	7	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + silicate	1139	0.7345859	2541.697	65.843231	4.137639	2000-2009 –> 2010-2019	1.684050	0.9494638	4298.092	104.838043	4	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + silicate	1139	0.7346586	2541.922	4.420535	4.141571	2000-2009 –> 2010-2019	1.684087	0.9494289	4298.270	8.743161	5	10
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + silicate	1139	0.7347807	2542.301	6.152744	4.147578	2000-2009 –> 2010-2019	1.684530	0.9497491	4299.079	13.049187	6	13
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + oxygen + aou + nitrate	1139	0.7686262	2644.885	73.297456	3.577609	2000-2009 –> 2010-2019	1.725837	0.9572113	4411.650	116.864761	8	18
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + aou + nitrate	1139	0.7688856	2645.654	6.410441	3.580532	2000-2009 –> 2010-2019	1.726076	0.9571907	4412.391	12.581975	10	19
Indo-Pacific	(28.3, Inf]	4	cstar_tref ~ sal + temp + oxygen + nitrate	1139	0.7692895	2646.850	8.919991	3.584020	2000-2009 –> 2010-2019	1.727008	0.9577188	4414.291	18.767640	12	24

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	19.246611	6833.476
Atlantic	(-Inf,26]	2000-2009 –> 2010-2019	18.482280	6856.267
Atlantic	(26,26.5]	1982-1999 –> 2000-2009	16.591079	6027.879
Atlantic	(26,26.5]	2000-2009 –> 2010-2019	14.980122	6468.772
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2009	11.906403	5370.419
Atlantic	(26.5,26.75]	2000-2009 –> 2010-2019	13.237118	4572.988
Atlantic	(26.75,27]	1982-1999 –> 2000-2009	10.460867	10152.316
Atlantic	(26.75,27]	2000-2009 –> 2010-2019	10.776429	8475.963
Atlantic	(27,27.25]	1982-1999 –> 2000-2009	8.199584	16546.345
Atlantic	(27,27.25]	2000-2009 –> 2010-2019	9.178140	15109.406
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2009	9.293083	33970.215
Atlantic	(27.25,27.5]	2000-2009 –> 2010-2019	10.570694	33801.111
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2009	13.293369	57069.154
Atlantic	(27.5,27.75]	2000-2009 –> 2010-2019	15.125479	58100.271
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2009	11.392619	21094.187
Atlantic	(27.75,27.85]	2000-2009 –> 2010-2019	13.521070	24115.312
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2009	7.535510	40900.101
Atlantic	(27.85,27.95]	2000-2009 –> 2010-2019	9.730474	46059.699
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2009	7.820237	62085.505
Atlantic	(27.95,28.05]	2000-2009 –> 2010-2019	8.585189	59794.040
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2009	7.053532	13776.457
Atlantic	(28.05,28.1]	2000-2009 –> 2010-2019	8.248618	15188.386
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2009	8.749818	13748.197
Atlantic	(28.1,28.15]	2000-2009 –> 2010-2019	10.289879	15717.489
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2009	9.426996	9165.773
Atlantic	(28.15,28.2]	2000-2009 –> 2010-2019	9.733079	11236.544
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2009	5.088810	12314.056
Atlantic	(28.2, Inf]	2000-2009 –> 2010-2019	4.922477	15330.395
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2009	24.450521	50481.438
Indo-Pacific	(-Inf,26]	2000-2009 –> 2010-2019	22.094289	70894.937
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2009	22.040645	41366.386
Indo-Pacific	(26,26.5]	2000-2009 –> 2010-2019	23.359826	42561.333
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2009	21.751460	36364.999
Indo-Pacific	(26.5,26.75]	2000-2009 –> 2010-2019	23.707627	40570.590
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2009	22.310178	46238.386
Indo-Pacific	(26.75,27]	2000-2009 –> 2010-2019	19.753798	53532.421
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2009	41.372136	83769.173
Indo-Pacific	(27,27.25]	2000-2009 –> 2010-2019	35.575949	101865.930
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2009	55.951742	124385.098
Indo-Pacific	(27.25,27.5]	2000-2009 –> 2010-2019	50.251986	139893.515
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2009	31.443944	98510.480
Indo-Pacific	(27.5,27.75]	2000-2009 –> 2010-2019	28.404623	125306.892
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2009	13.305499	34887.749
Indo-Pacific	(27.75,27.85]	2000-2009 –> 2010-2019	12.324987	44142.577
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2009	9.454407	42554.675
Indo-Pacific	(27.85,27.95]	2000-2009 –> 2010-2019	8.421278	48953.515
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2009	6.948874	59045.740
Indo-Pacific	(27.95,28.05]	2000-2009 –> 2010-2019	6.581011	68206.079
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2009	6.609430	32605.334
Indo-Pacific	(28.05,28.1]	2000-2009 –> 2010-2019	6.205467	40982.401
Indo-Pacific	(28.1,28.2]	1982-1999 –> 2000-2009	4.769135	50550.012
Indo-Pacific	(28.1,28.2]	2000-2009 –> 2010-2019	4.215666	60498.925
Indo-Pacific	(28.2,28.3]	1982-1999 –> 2000-2009	4.228121	24804.911
Indo-Pacific	(28.2,28.3]	2000-2009 –> 2010-2019	3.695865	30179.057
Indo-Pacific	(28.3, Inf]	1982-1999 –> 2000-2009	1.906461	3718.318
Indo-Pacific	(28.3, Inf]	2000-2009 –> 2010-2019	1.672227	4291.496

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
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.2.2 Best models

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

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

Past versions of rmse_correlation_across_eras_best_models-1.png

Version	Author	Date
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

rm(max_rmse)

6.3 Predictor counts

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

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

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

	aou	nitrate	oxygen	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2009
(-Inf,26]	7	6	6	7	10	6
(26,26.5]	7	10	6	7	7	6
(26.5,26.75]	7	10	5	5	6	7
(26.75,27]	6	10	5	5	5	8
(27,27.25]	6	10	6	4	5	8
(27.25,27.5]	8	10	5	8	6	5
(27.5,27.75]	7	10	5	8	6	6
(27.75,27.85]	6	10	6	8	5	6
(27.85,27.95]	7	10	5	8	6	6
(27.95,28.05]	6	10	6	7	6	7
(28.05,28.1]	7	10	7	6	6	6
(28.1,28.15]	8	10	6	6	5	6
(28.15,28.2]	7	10	6	7	7	6
(28.2, Inf]	6	6	5	10	8	7
total	95.00	132.00	79.00	96.00	88.00	90.00
Atlantic - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	6	7	10	6
(26,26.5]	7	10	6	7	7	6
(26.5,26.75]	7	10	5	5	6	7
(26.75,27]	6	10	5	5	5	8
(27,27.25]	6	10	6	4	5	8
(27.25,27.5]	8	10	5	8	6	5
(27.5,27.75]	7	10	5	8	6	6
(27.75,27.85]	7	10	5	8	6	6
(27.85,27.95]	7	10	6	7	7	6
(27.95,28.05]	6	10	6	7	6	7
(28.05,28.1]	7	10	7	6	6	6
(28.1,28.15]	8	10	6	6	5	6
(28.15,28.2]	7	10	6	7	7	6
(28.2, Inf]	8	5	6	10	6	6
total	98.00	131.00	80.00	95.00	88.00	89.00
Indo-Pacific - 1982-1999 --> 2000-2009
(-Inf,26]	6	6	7	10	6	7
(26,26.5]	8	10	6	6	5	6
(26.5,26.75]	7	10	6	5	5	7
(26.75,27]	8	10	6	5	6	6
(27,27.25]	6	10	6	5	6	8
(27.25,27.5]	7	10	6	7	8	5
(27.5,27.75]	7	10	6	9	6	4
(27.75,27.85]	6	10	6	10	5	4
(27.85,27.95]	6	10	6	10	5	4
(27.95,28.05]	6	10	5	6	6	7
(28.05,28.1]	6	10	5	8	6	5
(28.1,28.2]	6	8	5	6	10	6
(28.2,28.3]	5	8	8	10	6	5
(28.3, Inf]	7	6	5	10	8	6
total	91.00	128.00	83.00	107.00	88.00	80.00
Indo-Pacific - 2000-2009 --> 2010-2019
(-Inf,26]	7	6	7	10	6	7
(26,26.5]	8	10	6	6	5	6
(26.5,26.75]	8	10	6	6	5	6
(26.75,27]	7	10	7	6	6	6
(27,27.25]	6	10	6	5	6	8
(27.25,27.5]	7	10	6	8	7	5
(27.5,27.75]	7	10	6	9	6	4
(27.75,27.85]	7	10	5	8	6	6
(27.85,27.95]	8	10	5	8	6	5
(27.95,28.05]	7	10	5	6	6	6
(28.05,28.1]	6	10	5	8	6	5
(28.1,28.2]	5	6	5	8	6	10
(28.2,28.3]	8	10	5	6	8	5
(28.3, Inf]	7	7	6	10	7	6
total	98.00	129.00	80.00	104.00	86.00	85.00

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
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
02b976d	Donghe-Zhu	2021-02-24
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

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

Past versions of aic_vs_rmse_selected_models-1.png

Version	Author	Date
f8c34a8	Donghe-Zhu	2021-07-30
4f897c4	Donghe-Zhu	2021-07-30
0f6e960	Donghe-Zhu	2021-07-30
fe067ea	Donghe-Zhu	2021-07-30
fbca39a	Donghe-Zhu	2021-07-30
f945f95	Donghe-Zhu	2021-07-30
a3006cd	Donghe-Zhu	2021-07-30
a55ffdc	Donghe-Zhu	2021-07-30
d5e4458	Donghe-Zhu	2021-07-30
10a97ef	Donghe-Zhu	2021-07-30
1c501fd	Donghe-Zhu	2021-07-30
68bce3f	Donghe-Zhu	2021-07-30
400c457	Donghe-Zhu	2021-07-29
3ba7852	Donghe-Zhu	2021-07-29
ec68363	Donghe-Zhu	2021-07-28
d3018f6	Donghe-Zhu	2021-07-28
b8ba2c4	Donghe-Zhu	2021-07-28
a4ddd84	Donghe-Zhu	2021-07-27
7ef49ab	Donghe-Zhu	2021-07-27
da818c0	Donghe-Zhu	2021-07-27
8623898	Donghe-Zhu	2021-07-27
f84b77c	Donghe-Zhu	2021-07-27
70ad9a5	Donghe-Zhu	2021-07-27
0d0b48d	Donghe-Zhu	2021-07-27
d0d97c6	Donghe-Zhu	2021-07-27
829510d	Donghe-Zhu	2021-07-27
780627d	Donghe-Zhu	2021-07-27
e9838c9	Donghe-Zhu	2021-07-27
2777f33	Donghe-Zhu	2021-07-27
d19760f	Donghe-Zhu	2021-07-27
cac5680	Donghe-Zhu	2021-07-23
7bb279a	Donghe-Zhu	2021-07-23
d52eac4	Donghe-Zhu	2021-07-23
dcf34b1	Donghe-Zhu	2021-07-23
419cb72	Donghe-Zhu	2021-07-22
9447d10	Donghe-Zhu	2021-07-22
639c9a0	Donghe-Zhu	2021-07-22
25bb96f	Donghe-Zhu	2021-07-22
cdc98a3	Donghe-Zhu	2021-07-22
e4805a1	Donghe-Zhu	2021-07-22
7957fd1	Donghe-Zhu	2021-07-21
b94be4e	Donghe-Zhu	2021-07-21
9950e70	Donghe-Zhu	2021-07-21
698b6f0	Donghe-Zhu	2021-07-20
d84a1cb	Donghe-Zhu	2021-07-20
4dce223	Donghe-Zhu	2021-07-20
6f28c0c	Donghe-Zhu	2021-07-20
db1e7b7	Donghe-Zhu	2021-07-19
ff0575d	Donghe-Zhu	2021-07-19
5d60eac	Donghe-Zhu	2021-07-19
57d0420	Donghe-Zhu	2021-07-16
c1be8f6	Donghe-Zhu	2021-07-16
26a7c15	Donghe-Zhu	2021-07-16
046902b	Donghe-Zhu	2021-07-16
3d4ac14	Donghe-Zhu	2021-07-15
be6fff9	Donghe-Zhu	2021-07-15
b473472	Donghe-Zhu	2021-07-15
363270a	Donghe-Zhu	2021-07-15
8b75a03	Donghe-Zhu	2021-07-15
a01e135	Donghe-Zhu	2021-07-07
bc83ef2	Donghe-Zhu	2021-07-07
75e7b07	Donghe-Zhu	2021-07-06
697aa6d	Donghe-Zhu	2021-07-06
d52e2de	Donghe-Zhu	2021-07-06
f2bde6b	Donghe-Zhu	2021-07-06
1133f28	Donghe-Zhu	2021-07-06
fe3a1cd	Donghe-Zhu	2021-07-06
d9cdf15	Donghe-Zhu	2021-07-06
ee4cd2d	Donghe-Zhu	2021-07-06
93821c1	Donghe-Zhu	2021-07-05
d44db8e	Donghe-Zhu	2021-07-05
20b3436	Donghe-Zhu	2021-07-05
d982ea5	Donghe-Zhu	2021-07-05
7397e53	Donghe-Zhu	2021-07-05
f2e4805	Donghe-Zhu	2021-07-05
e2d011a	Donghe-Zhu	2021-07-05
85e0349	Donghe-Zhu	2021-07-05
6ee0146	Donghe-Zhu	2021-07-05
a482a6b	Donghe-Zhu	2021-07-05
f59f1b3	Donghe-Zhu	2021-07-05
116bcab	Donghe-Zhu	2021-07-04
cb1c8dc	Donghe-Zhu	2021-07-04
c9bdd83	Donghe-Zhu	2021-07-04
1920ad9	Donghe-Zhu	2021-07-04
0b02791	Donghe-Zhu	2021-06-25
caf62d8	Donghe-Zhu	2021-06-25
90a9da5	Donghe-Zhu	2021-06-25
bb413c8	Donghe-Zhu	2021-06-25
e7a5266	Donghe-Zhu	2021-06-24
7c57720	Donghe-Zhu	2021-06-24
b5b95a9	Donghe-Zhu	2021-06-24
472aad4	Donghe-Zhu	2021-06-24
d517836	Donghe-Zhu	2021-06-24
9221bfe	Donghe-Zhu	2021-06-24
bff5fbf	Donghe-Zhu	2021-06-23
256a616	Donghe-Zhu	2021-06-23
00072e2	Donghe-Zhu	2021-06-23
7431530	Donghe-Zhu	2021-06-20
d20c383	Donghe-Zhu	2021-06-18
b0874a2	Donghe-Zhu	2021-06-17
72c2f2e	Donghe-Zhu	2021-06-15
d97dcb6	Donghe-Zhu	2021-06-08
25dda1d	Donghe-Zhu	2021-06-08
bd2bcc3	Donghe-Zhu	2021-06-08
e9b27d7	Donghe-Zhu	2021-06-07
7ae0d4b	Donghe-Zhu	2021-06-07
325391f	Donghe-Zhu	2021-06-07
ed89970	Donghe-Zhu	2021-06-07
df37958	Donghe-Zhu	2021-06-07
812bf63	Donghe-Zhu	2021-06-06
65c89c8	Donghe-Zhu	2021-06-06
9baa3b2	Donghe-Zhu	2021-06-06
b7d99cf	Donghe-Zhu	2021-06-06
5d8fa90	Donghe-Zhu	2021-06-06
dbe2a95	Donghe-Zhu	2021-05-28
d50b039	Donghe-Zhu	2021-05-28
441ebe5	Donghe-Zhu	2021-05-28
6262ad3	Donghe-Zhu	2021-05-28
a61aa77	Donghe-Zhu	2021-05-28
b8dbce4	Donghe-Zhu	2021-05-28
94a833e	Donghe-Zhu	2021-05-27
5e0bd64	Donghe-Zhu	2021-05-27
af1eadd	Donghe-Zhu	2021-05-27
9179bfe	Donghe-Zhu	2021-05-27
28cbe5e	Donghe-Zhu	2021-05-27
a618f02	Donghe-Zhu	2021-05-27
4623e38	Donghe-Zhu	2021-05-27
b81bb49	Donghe-Zhu	2021-05-27
951e188	Donghe-Zhu	2021-05-27
e377833	Donghe-Zhu	2021-05-26
2705a04	Donghe-Zhu	2021-03-28
cd5f759	Donghe-Zhu	2021-03-28
75dda4d	Donghe-Zhu	2021-03-27
0b19f6e	Donghe-Zhu	2021-03-27
e2704ca	Donghe-Zhu	2021-03-27
3061a0b	Donghe-Zhu	2021-03-27
b883157	Donghe-Zhu	2021-03-27
d19654d	Donghe-Zhu	2021-03-26
6c53dbf	Donghe-Zhu	2021-03-25
1914a11	Donghe-Zhu	2021-03-24
8be810e	Donghe-Zhu	2021-03-23
bf19764	Donghe-Zhu	2021-03-22
3ec9d3d	Donghe-Zhu	2021-03-22
134ace1	Donghe-Zhu	2021-03-22
f6d70a4	Donghe-Zhu	2021-03-22
183443b	Donghe-Zhu	2021-03-21
2e6976b	Donghe-Zhu	2021-03-21
51a42bd	Donghe-Zhu	2021-03-16
f745381	Donghe-Zhu	2021-03-16
aecbf75	Donghe-Zhu	2021-03-14
1b2a0c2	Donghe-Zhu	2021-03-14
6733e48	Donghe-Zhu	2021-03-12
ba71e6a	Donghe-Zhu	2021-03-12
9dbf5bd	Donghe-Zhu	2021-03-11
a49df30	Donghe-Zhu	2021-03-11
b3348a5	Donghe-Zhu	2021-03-11
1c24ff7	Donghe-Zhu	2021-03-10
94ce5a8	Donghe-Zhu	2021-03-10
db33928	Donghe-Zhu	2021-03-10
3d1f470	Donghe-Zhu	2021-03-10
9b7bc66	Donghe-Zhu	2021-03-10
4168b43	Donghe-Zhu	2021-03-10
5365f80	Donghe-Zhu	2021-03-10
2b6c392	Donghe-Zhu	2021-03-10
9f58753	Donghe-Zhu	2021-03-10
fd528ed	Donghe-Zhu	2021-03-10
9d5a62c	Donghe-Zhu	2021-03-10
5d1e70b	Donghe-Zhu	2021-03-10
2093979	Donghe-Zhu	2021-03-10
b865899	Donghe-Zhu	2021-03-10
cc2a956	Donghe-Zhu	2021-03-10
60689fb	Donghe-Zhu	2021-03-10
dba33c8	Donghe-Zhu	2021-03-09
17f1c4a	Donghe-Zhu	2021-03-09
c024d1a	Donghe-Zhu	2021-03-09
02f7242	Donghe-Zhu	2021-03-09
6f50bc6	Donghe-Zhu	2021-03-09
1691156	Donghe-Zhu	2021-03-08
c0ceaf8	Donghe-Zhu	2021-03-08
058e0a1	Donghe-Zhu	2021-03-08
112dea0	Donghe-Zhu	2021-03-08
1843412	Donghe-Zhu	2021-03-08
3fbbfa4	Donghe-Zhu	2021-03-07
627c8fb	Donghe-Zhu	2021-03-07
9ef3222	Donghe-Zhu	2021-03-05
8c1e978	Donghe-Zhu	2021-03-05
865f68c	Donghe-Zhu	2021-03-05
ee69bc1	Donghe-Zhu	2021-03-05
a79291f	Donghe-Zhu	2021-03-05
e8c6f30	Donghe-Zhu	2021-03-04
59288fe	Donghe-Zhu	2021-03-04
731abc8	Donghe-Zhu	2021-03-04
e2a5a33	Donghe-Zhu	2021-03-04
c7892c1	Donghe-Zhu	2021-03-04
924430b	Donghe-Zhu	2021-03-03
0d0bca1	Donghe-Zhu	2021-03-03
cb63c16	Donghe-Zhu	2021-03-03
ffda45a	Donghe-Zhu	2021-03-03
691ba81	Donghe-Zhu	2021-03-03
c5e45a2	Donghe-Zhu	2021-03-03
89c3e58	Donghe-Zhu	2021-03-03
c407a50	Donghe-Zhu	2021-03-03
c911669	Donghe-Zhu	2021-03-03
b71c719	Donghe-Zhu	2021-03-01
13666ca	Donghe-Zhu	2021-03-01
c6e60fe	Donghe-Zhu	2021-03-01
7a388f7	Donghe-Zhu	2021-03-01
799e913	Donghe-Zhu	2021-03-01
66ff99f	Donghe-Zhu	2021-03-01
ac9bb7a	Donghe-Zhu	2021-02-28
efdc047	Donghe-Zhu	2021-02-28
e9a7418	Donghe-Zhu	2021-02-28
e152917	Donghe-Zhu	2021-02-28
287123c	Donghe-Zhu	2021-02-27
54d5b5b	Donghe-Zhu	2021-02-27
330f064	Donghe-Zhu	2021-02-27
adbc9bc	Donghe-Zhu	2021-02-27
5937141	Donghe-Zhu	2021-02-27
4414bbf	Donghe-Zhu	2021-02-27
a265efb	Donghe-Zhu	2021-02-27
19edd1e	Donghe-Zhu	2021-02-27
f20483f	Donghe-Zhu	2021-02-26
6a2c7b3	Donghe-Zhu	2021-02-25
354c224	Donghe-Zhu	2021-02-24
1a0a88a	Donghe-Zhu	2021-02-24
57f701e	Donghe-Zhu	2021-02-24
06f3149	Donghe-Zhu	2021-02-16
401eab3	Donghe-Zhu	2021-02-15
e3bba84	Donghe-Zhu	2021-02-15
5dce4b1	Donghe-Zhu	2021-02-15
4469a0c	Donghe-Zhu	2021-02-13
5ae6a69	Donghe-Zhu	2021-02-10
05385dc	Donghe-Zhu	2021-02-10
f791ae4	Donghe-Zhu	2021-02-09
f71ae34	Donghe-Zhu	2021-02-09
c011832	Donghe-Zhu	2021-02-09
a145fa7	Donghe-Zhu	2021-02-09
c344e42	Donghe-Zhu	2021-02-08
2f095d7	Donghe-Zhu	2021-02-07
1fad5f1	Donghe-Zhu	2021-02-07
ca03c39	Donghe-Zhu	2021-02-07
e2ffc14	Donghe-Zhu	2021-02-05
cd7c52c	Donghe-Zhu	2021-02-04
bcf84f4	Donghe-Zhu	2021-02-02
a518739	Donghe-Zhu	2021-02-01
61666de	Donghe-Zhu	2021-01-31
865b582	Donghe-Zhu	2021-01-31
3e68089	Donghe-Zhu	2021-01-31
ecf335c	Donghe-Zhu	2021-01-31
a618965	Donghe-Zhu	2021-01-31
59e006e	Donghe-Zhu	2021-01-31
a1c8f87	Donghe-Zhu	2021-01-31
ae5c18f	Donghe-Zhu	2021-01-31
b50fe52	Donghe-Zhu	2021-01-31
ac99ae5	jens-daniel-mueller	2021-01-29
b5bdcaf	Donghe-Zhu	2021-01-29
442010d	Donghe-Zhu	2021-01-29
372adf5	Donghe-Zhu	2021-01-29
af8788e	Donghe-Zhu	2021-01-29
21c91c9	Donghe-Zhu	2021-01-29
eded038	Donghe-Zhu	2021-01-29
541d4dd	Donghe-Zhu	2021-01-29
6a75576	Donghe-Zhu	2021-01-28
16fba40	Donghe-Zhu	2021-01-28
12bc567	Donghe-Zhu	2021-01-27
ceed31b	Donghe-Zhu	2021-01-27
342402d	Donghe-Zhu	2021-01-27
5bad5c2	Donghe-Zhu	2021-01-27
61efb56	Donghe-Zhu	2021-01-25
48f638e	Donghe-Zhu	2021-01-25
c1cec47	Donghe-Zhu	2021-01-25
05ffb0c	Donghe-Zhu	2021-01-25
8b97165	Donghe-Zhu	2021-01-25
c569946	Donghe-Zhu	2021-01-24
a2f0d56	Donghe-Zhu	2021-01-23
28509fc	Donghe-Zhu	2021-01-23
4c28e4a	Donghe-Zhu	2021-01-22
24cc264	jens-daniel-mueller	2021-01-22
7891955	Donghe-Zhu	2021-01-21
d4cf1cb	Donghe-Zhu	2021-01-21
1f3e5b6	jens-daniel-mueller	2021-01-20
0e7bdf1	jens-daniel-mueller	2021-01-15
4571843	jens-daniel-mueller	2021-01-14
b3564aa	jens-daniel-mueller	2021-01-14
8d032c3	jens-daniel-mueller	2021-01-14
17dee1d	jens-daniel-mueller	2021-01-13
7cdea0c	jens-daniel-mueller	2021-01-06
fa85b93	jens-daniel-mueller	2021-01-06
e5cb81a	Donghe-Zhu	2021-01-05
a499f10	Donghe-Zhu	2021-01-05
fb8a752	Donghe-Zhu	2020-12-23
8fae0b2	Donghe-Zhu	2020-12-21
c8b76b3	jens-daniel-mueller	2020-12-19

Session information

sessionInfo()

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

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

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

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

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

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