eMLR - model fitting

workflowr

• Summary
• Checks
• Past versions

Last updated: 2021-02-27

Checks: 7 0

Knit directory: emlr_mod_v_XXX/

This reproducible R Markdown analysis was created with workflowr (version 1.6.2). The Checks tab describes the reproducibility checks that were applied when the results were created. The Past versions tab lists the development history.

---

R Markdown file: up-to-date

Great! Since the R Markdown file has been committed to the Git repository, you know the exact version of the code that produced these results.

Environment: empty

Great job! The global environment was empty. Objects defined in the global environment can affect the analysis in your R Markdown file in unknown ways. For reproduciblity it’s best to always run the code in an empty environment.

Seed: set.seed(20200707)

The command set.seed(20200707) was run prior to running the code in the R Markdown file. Setting a seed ensures that any results that rely on randomness, e.g. subsampling or permutations, are reproducible.

Session information: recorded

Great job! Recording the operating system, R version, and package versions is critical for reproducibility.

Cache: none

Nice! There were no cached chunks for this analysis, so you can be confident that you successfully produced the results during this run.

File paths: relative

Great job! Using relative paths to the files within your workflowr project makes it easier to run your code on other machines.

Repository version: d24665a

Great! You are using Git for version control. Tracking code development and connecting the code version to the results is critical for reproducibility.

The results in this page were generated with repository version d24665a. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

Note that you need to be careful to ensure that all relevant files for the analysis have been committed to Git prior to generating the results (you can use wflow_publish or wflow_git_commit). workflowr only checks the R Markdown file, but you know if there are other scripts or data files that it depends on. Below is the status of the Git repository when the results were generated:

Ignored files:
    Ignored:    .Rhistory
    Ignored:    .Rproj.user/

Unstaged changes:
    Modified:   data/auxillary/params_local.rds

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	a265efb	Donghe-Zhu	2021-02-27	Build site.
html	19edd1e	Donghe-Zhu	2021-02-27	Build site.
Rmd	1ae5bb4	Donghe-Zhu	2021-02-27	local rebuild
html	f20483f	Donghe-Zhu	2021-02-26	Build site.
html	6a2c7b3	Donghe-Zhu	2021-02-25	Build site.
html	02b976d	Donghe-Zhu	2021-02-24	Build site.
html	354c224	Donghe-Zhu	2021-02-24	Build site.
Rmd	d910d39	Donghe-Zhu	2021-02-24	local rebuild
html	1a0a88a	Donghe-Zhu	2021-02-24	Build site.
Rmd	663e891	Donghe-Zhu	2021-02-24	local rebuild
html	57f701e	Donghe-Zhu	2021-02-24	Build site.
html	06f3149	Donghe-Zhu	2021-02-16	Build site.
html	401eab3	Donghe-Zhu	2021-02-15	Build site.
html	e3bba84	Donghe-Zhu	2021-02-15	Build site.
html	5dce4b1	Donghe-Zhu	2021-02-15	Build site.
Rmd	35b0f2e	Donghe-Zhu	2021-02-15	local rebuild
html	4469a0c	Donghe-Zhu	2021-02-13	Build site.
Rmd	8186d57	Donghe-Zhu	2021-02-10	apply nr_obs
html	5ae6a69	Donghe-Zhu	2021-02-10	Build site.
Rmd	eeb6557	Donghe-Zhu	2021-02-10	local rebuild
html	05385dc	Donghe-Zhu	2021-02-10	Build site.
html	f791ae4	Donghe-Zhu	2021-02-09	Build site.
html	f71ae34	Donghe-Zhu	2021-02-09	Build site.
html	c011832	Donghe-Zhu	2021-02-09	Build site.
html	a145fa7	Donghe-Zhu	2021-02-09	Build site.
Rmd	37a41c8	Donghe-Zhu	2021-02-09	local rebuild
html	c344e42	Donghe-Zhu	2021-02-08	Build site.
Rmd	8f5fa79	Donghe-Zhu	2021-02-08	local rebuild
html	2f095d7	Donghe-Zhu	2021-02-07	Build site.
html	2305044	Donghe-Zhu	2021-02-07	Build site.
Rmd	c3638c1	Donghe-Zhu	2021-02-07	local rebuild
html	1fad5f1	Donghe-Zhu	2021-02-07	Build site.
html	ca03c39	Donghe-Zhu	2021-02-07	Build site.
html	e2ffc14	Donghe-Zhu	2021-02-05	Build site.
html	cd7c52c	Donghe-Zhu	2021-02-04	Build site.
Rmd	bcf91a8	jens-daniel-mueller	2021-02-04	separate MLR tables, added plot residuals vs location
html	bcf84f4	Donghe-Zhu	2021-02-02	Build site.
html	a518739	Donghe-Zhu	2021-02-01	Build site.
html	61666de	Donghe-Zhu	2021-01-31	Build site.
html	865b582	Donghe-Zhu	2021-01-31	Build site.
html	3e68089	Donghe-Zhu	2021-01-31	Build site.
html	ecf335c	Donghe-Zhu	2021-01-31	Build site.
html	a618965	Donghe-Zhu	2021-01-31	Build site.
html	59e006e	Donghe-Zhu	2021-01-31	Build site.
html	a1c8f87	Donghe-Zhu	2021-01-31	Build site.
html	ae5c18f	Donghe-Zhu	2021-01-31	Build site.
html	b50fe52	Donghe-Zhu	2021-01-31	Build site.
Rmd	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	ac99ae5	jens-daniel-mueller	2021-01-29	code review
html	b5bdcaf	Donghe-Zhu	2021-01-29	Build site.
Rmd	b234505	Donghe-Zhu	2021-01-29	MLR approach across all depth
html	442010d	Donghe-Zhu	2021-01-29	Build site.
Rmd	e67e7dd	Donghe-Zhu	2021-01-29	surface equilibrium approach across all latitudes irrespective of gamma
html	372adf5	Donghe-Zhu	2021-01-29	Build site.
html	af8788e	Donghe-Zhu	2021-01-29	Build site.
html	21c91c9	Donghe-Zhu	2021-01-29	Build site.
html	eded038	Donghe-Zhu	2021-01-29	Build site.
html	541d4dd	Donghe-Zhu	2021-01-29	Build site.
html	6a75576	Donghe-Zhu	2021-01-28	Build site.
html	16fba40	Donghe-Zhu	2021-01-28	Build site.
Rmd	aecf0c6	Donghe-Zhu	2021-01-28	diagnostic ploting
Rmd	a02684e	Donghe-Zhu	2021-01-28	error
Rmd	4584be9	Donghe-Zhu	2021-01-28	latest
html	12bc567	Donghe-Zhu	2021-01-27	Build site.
html	ceed31b	Donghe-Zhu	2021-01-27	Build site.
html	342402d	Donghe-Zhu	2021-01-27	Build site.
html	5bad5c2	Donghe-Zhu	2021-01-27	Build site.
Rmd	c2c9529	Donghe-Zhu	2021-01-27	random subsetting based on lat
html	61efb56	Donghe-Zhu	2021-01-25	Build site.
html	48f638e	Donghe-Zhu	2021-01-25	Build site.
html	c1cec47	Donghe-Zhu	2021-01-25	Build site.
html	05ffb0c	Donghe-Zhu	2021-01-25	Build site.
html	8b97165	Donghe-Zhu	2021-01-25	Build site.
html	c569946	Donghe-Zhu	2021-01-24	Build site.
html	a2f0d56	Donghe-Zhu	2021-01-23	Build site.
html	28509fc	Donghe-Zhu	2021-01-23	Build site.
html	4c28e4a	Donghe-Zhu	2021-01-22	Build site.
html	24cc264	jens-daniel-mueller	2021-01-22	cleaned /docs before creating copies
html	88eb28f	Donghe-Zhu	2021-01-21	Build site.
html	2679490	Donghe-Zhu	2021-01-21	Build site.
html	7891955	Donghe-Zhu	2021-01-21	Build site.
html	d4cf1cb	Donghe-Zhu	2021-01-21	Build site.
Rmd	167eeec	Donghe-Zhu	2021-01-21	surface DIC calculation with atmospheric equilibrium option
html	1f3e5b6	jens-daniel-mueller	2021-01-20	Build site.
html	0e7bdf1	jens-daniel-mueller	2021-01-15	cleaning template repository
html	73cbef3	jens-daniel-mueller	2021-01-15	Build site.
html	4571843	jens-daniel-mueller	2021-01-14	revision and html deleted for template copying
html	23151cd	jens-daniel-mueller	2021-01-14	Build site.
html	b3564aa	jens-daniel-mueller	2021-01-14	Build site.
html	8d032c3	jens-daniel-mueller	2021-01-14	Build site.
html	022871c	Donghe-Zhu	2021-01-13	Build site.
Rmd	d44f36f	Donghe-Zhu	2021-01-13	reorder analysis final
html	17dee1d	jens-daniel-mueller	2021-01-13	Build site.
Rmd	9e04fd7	jens-daniel-mueller	2021-01-13	local rebuild after revision
html	a076226	Donghe-Zhu	2021-01-11	Build site.
Rmd	52eff18	Donghe-Zhu	2021-01-09	Implemet model_run and subsetting
html	7cdea0c	jens-daniel-mueller	2021-01-06	Build site.
Rmd	b5934dd	jens-daniel-mueller	2021-01-06	local rebuild after revision
html	fa85b93	jens-daniel-mueller	2021-01-06	Build site.
html	e5cb81a	Donghe-Zhu	2021-01-05	Build site.
Rmd	608cc45	Donghe-Zhu	2021-01-05	modification of analysis
html	a499f10	Donghe-Zhu	2021-01-05	Build site.
Rmd	715bdb4	Donghe-Zhu	2021-01-02	model modification
html	fb8a752	Donghe-Zhu	2020-12-23	Build site.
Rmd	82e3c9c	Donghe-Zhu	2020-12-23	first build after creating model template
html	8fae0b2	Donghe-Zhu	2020-12-21	Build site.
Rmd	00a1322	Donghe-Zhu	2020-12-21	first build after creating model template
Rmd	d73ae35	Donghe-Zhu	2020-12-21	first version with lm error
html	c8b76b3	jens-daniel-mueller	2020-12-19	Build site.
Rmd	b5fedce	jens-daniel-mueller	2020-12-19	first build after creating model template
Rmd	8e8abf5	Jens Müller	2020-12-18	Initial commit

---

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, phosphate, phosphate_star

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove certain predictor combinations
# lm_rm_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, "nitrate") &
#       str_detect(lm_coeff_filter, "phosphate")
#   ) 

# 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, "nitrate") &
#       str_detect(lm_coeff_filter, "silicate")
#   )

# lm_rm_o2 <- 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")
#   )

# lm_rm <- bind_rows(lm_rm_ph, lm_rm_o2) %>%
#   select(-lm_coeff_filter) %>%
#   unique()

# lm_rm <- lm_rm_ph %>%
#   select(-lm_coeff_filter) %>%
#   unique()
# 
# lm_all <- anti_join(lm_all, lm_rm)

# 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
)

3 Apply predictor threshold

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

• Minimum: 3
  
• Maximum: 9

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:

• 219

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)[1]
        
        # 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)
          
          # 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,
              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_n_predictors,
  i_resid_max
)

5 Prepare coeffcients

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

5.1 Formatting

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

# calculate RMSE sum for adjacent eras
lm_all_fitted_wide_eras <- lm_all_fitted_wide  %>%
  select(basin, gamma_slab, model, era, nr_obs, rmse, aic, resid_max) %>%
  arrange(era) %>%
  group_by(basin, gamma_slab, model) %>%
  mutate(
    eras = paste(lag(era), era, sep = " --> "),
    rmse_sum = rmse + lag(rmse),
    aic_sum = aic + lag(aic)
  ) %>%
  ungroup() %>%
  select(-c(era)) %>%
  drop_na()

# 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, model)
} else {
  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, model)
}

5.3 RMSE tables

5.3.1 per model

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

basin	gamma_slab	model	nr_obs	rmse	aic	resid_max	eras	rmse_sum	aic_sum
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	158	1.0102185	467.5972	3.339750	1982-1999 –> 2000-2012	2.3458438	1194.2659
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	158	1.0137290	468.6934	3.297715	1982-1999 –> 2000-2012	2.3505653	1195.7391
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	158	1.0146566	468.9824	3.327668	1982-1999 –> 2000-2012	2.3517436	1196.1061
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	158	1.0093505	469.3256	3.392692	1982-1999 –> 2000-2012	2.3449212	1197.9773
Atlantic	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	72	1.0834728	231.8718	2.650796	2000-2012 –> 2013-2019	2.0936914	699.4691
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	72	1.0788874	231.2611	2.583446	2000-2012 –> 2013-2019	2.0926164	699.9545
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	72	1.0780946	231.1553	2.566087	2000-2012 –> 2013-2019	2.0927512	700.1377
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	72	1.0760286	232.8790	2.653279	2000-2012 –> 2013-2019	2.0853791	702.2046
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	1046	3.2403045	5441.9154	14.502344	1982-1999 –> 2000-2012	6.4880149	13376.4262
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1046	3.2389169	5443.0194	14.688990	1982-1999 –> 2000-2012	6.4823240	13375.4862
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1046	3.2125948	5425.9486	13.863059	1982-1999 –> 2000-2012	6.4258946	13329.9712
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1046	3.2125528	5427.9212	13.822807	1982-1999 –> 2000-2012	6.4070517	13316.0460
Atlantic	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	567	3.0857248	2900.8523	9.468161	2000-2012 –> 2013-2019	6.3260293	8342.7677
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	567	3.0339763	2883.6735	9.412245	2000-2012 –> 2013-2019	6.2728933	8326.6929
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	567	3.0466697	2888.4080	10.761888	2000-2012 –> 2013-2019	6.2592646	8314.3566
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	567	3.0166904	2879.1941	10.327831	2000-2012 –> 2013-2019	6.2292432	8307.1154
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1397	3.2139421	7242.5043	10.077111	1982-1999 –> 2000-2012	6.1949222	16785.9619
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1397	3.1332896	7173.4954	8.794157	1982-1999 –> 2000-2012	6.0826758	16678.5275
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1397	3.2139421	7242.5043	10.077111	1982-1999 –> 2000-2012	6.1949222	16785.9619
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1397	3.1332904	7171.4961	8.793931	1982-1999 –> 2000-2012	6.0827330	16674.6008
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	656	3.2676102	3433.1326	9.323441	2000-2012 –> 2013-2019	6.4008998	10606.6280
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	656	3.3015492	3444.6894	10.639303	2000-2012 –> 2013-2019	6.5154913	10687.1938
Atlantic	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	656	3.3015492	3444.6894	10.639303	2000-2012 –> 2013-2019	6.5154913	10687.1938
Atlantic	(26.5,26.75]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	656	3.2691905	3431.7670	9.293088	2000-2012 –> 2013-2019	6.4024809	10603.2631
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2398	1.9577047	10045.0510	12.852844	1982-1999 –> 2000-2012	3.4513206	21493.5208
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2398	1.9733020	10081.1101	13.668184	1982-1999 –> 2000-2012	3.4867147	21610.2701
Atlantic	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	2398	2.0377368	10235.2128	18.405045	1982-1999 –> 2000-2012	3.5335223	21690.7979
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2398	2.0377368	10235.2128	18.405045	1982-1999 –> 2000-2012	3.5335223	21690.7979
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1263	2.1936686	5586.6019	19.571794	2000-2012 –> 2013-2019	4.1513732	15631.6529
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1263	2.2447360	5642.7318	22.401900	2000-2012 –> 2013-2019	4.2180380	15723.8419
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1263	2.1944621	5585.5155	19.509755	2000-2012 –> 2013-2019	4.2321989	15820.7283
Atlantic	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1263	2.1944621	5585.5155	19.509755	2000-2012 –> 2013-2019	4.2321989	15820.7283
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2031	1.7685785	8095.7837	13.273629	1982-1999 –> 2000-2012	3.2488170	17569.5660
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2031	1.7886736	8141.6771	12.395499	1982-1999 –> 2000-2012	3.2352503	17495.3358
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2031	1.8059058	8180.6234	11.966964	1982-1999 –> 2000-2012	3.2633567	17573.3900
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2031	1.7317419	8012.2853	15.886046	1982-1999 –> 2000-2012	3.1780603	17367.0116
Atlantic	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1142	2.1464785	5001.4401	9.449703	2000-2012 –> 2013-2019	3.9150570	13097.2238
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1142	2.1545634	5010.0268	9.847471	2000-2012 –> 2013-2019	3.9432370	13151.7039
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1142	2.1701740	5026.5156	9.720375	2000-2012 –> 2013-2019	3.9760799	13207.1390
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1142	2.0775479	4928.8897	9.783184	2000-2012 –> 2013-2019	3.8092897	12941.1749
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate	2025	2.1403141	8842.5591	17.909272	1982-1999 –> 2000-2012	3.7787585	19865.9783
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2025	2.1392607	8842.5653	18.152763	1982-1999 –> 2000-2012	3.7620627	19812.7677
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	2025	2.1403141	8844.5591	17.906511	1982-1999 –> 2000-2012	3.7782908	19868.3352
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2025	2.1391730	8844.3992	17.846793	1982-1999 –> 2000-2012	3.7585043	19804.2779
Atlantic	(27.25,27.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1109	2.7064010	5371.4902	19.005456	2000-2012 –> 2013-2019	4.8456617	14214.0555
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1109	2.7324635	5392.7473	14.021401	2000-2012 –> 2013-2019	4.8915321	14272.6398
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1109	2.7167456	5379.9518	16.326712	2000-2012 –> 2013-2019	4.8720198	14252.7205
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1109	2.7053602	5372.6371	20.139108	2000-2012 –> 2013-2019	4.8445332	14217.0362
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2804	2.3649692	12800.5773	15.837292	1982-1999 –> 2000-2012	4.4315783	28834.3000
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2804	2.3645727	12801.6371	15.906935	1982-1999 –> 2000-2012	4.4225209	28805.9963
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2804	2.3920616	12864.4558	14.588449	1982-1999 –> 2000-2012	4.4507889	28869.6418
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2804	2.3899389	12859.4771	15.360569	1982-1999 –> 2000-2012	4.4556461	28889.9396
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate	1515	2.7078202	7331.6999	19.383046	2000-2012 –> 2013-2019	5.0921815	20176.0738
Atlantic	(27.5,27.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1515	2.6926942	7316.7268	20.089368	2000-2012 –> 2013-2019	5.0573857	20116.6457
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1515	2.6919437	7315.8822	19.886060	2000-2012 –> 2013-2019	5.0569129	20116.4595
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1515	2.6919437	7317.8822	19.885854	2000-2012 –> 2013-2019	5.0565164	20119.5192
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1036	1.4933765	3786.9948	13.193790	1982-1999 –> 2000-2012	3.0083549	8645.6517
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	1036	1.4997244	3795.7836	13.771377	1982-1999 –> 2000-2012	3.0163979	8657.3928
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1036	1.4997244	3795.7836	13.771377	1982-1999 –> 2000-2012	3.0163979	8657.3928
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1036	1.4819371	3773.0620	12.346257	1982-1999 –> 2000-2012	2.9888702	8619.6617
Atlantic	(27.75,27.85]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	513	1.6586171	1990.9707	11.471286	2000-2012 –> 2013-2019	3.1519935	5777.9654
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	513	1.6587161	1991.0319	11.883986	2000-2012 –> 2013-2019	3.1584405	5786.8155
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	513	1.6587161	1991.0319	11.883986	2000-2012 –> 2013-2019	3.1584405	5786.8155
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	513	1.6130343	1964.3791	10.721751	2000-2012 –> 2013-2019	3.0949714	5737.4410
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	983	2.9168969	4910.2762	23.384895	1982-1999 –> 2000-2012	5.6443939	11398.7229
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	983	2.9209554	4913.0097	23.348570	1982-1999 –> 2000-2012	5.6332688	11386.5402
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	983	2.9167184	4912.1558	23.324808	1982-1999 –> 2000-2012	5.5922061	11351.1595
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	983	2.9168969	4910.2762	23.384895	1982-1999 –> 2000-2012	5.6443939	11398.7229
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	569	3.3016373	2990.0003	28.844568	2000-2012 –> 2013-2019	6.2185342	7900.2765
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	569	3.2165771	2960.2977	28.808840	2000-2012 –> 2013-2019	6.1375326	7873.3074
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	569	3.1989479	2956.0435	29.016215	2000-2012 –> 2013-2019	6.1156663	7868.1993
Atlantic	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	569	3.3016373	2990.0003	28.844568	2000-2012 –> 2013-2019	6.2185342	7900.2765
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1204	3.7823633	6636.2844	25.986558	1982-1999 –> 2000-2012	7.1374854	15466.1228
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	1204	3.5541213	6486.4077	21.514886	1982-1999 –> 2000-2012	6.8749279	15281.7859
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1204	3.5310176	6472.7033	22.926889	1982-1999 –> 2000-2012	6.7144051	15128.4199
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	1204	3.7604125	6622.2690	22.900385	1982-1999 –> 2000-2012	7.2584306	15591.9137
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	666	3.2653123	3482.2555	28.858479	2000-2012 –> 2013-2019	7.0476756	10118.5400
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	666	3.2934675	3493.6915	24.233945	2000-2012 –> 2013-2019	6.8475888	9980.0992
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	666	3.1959182	3455.6429	27.018389	2000-2012 –> 2013-2019	6.7269357	9928.3462
Atlantic	(27.95,28.05]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	666	3.5049850	3576.6022	26.715531	2000-2012 –> 2013-2019	7.2653975	10198.8712
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	804	0.9922043	2285.0686	8.390838	1982-1999 –> 2000-2012	1.8403520	5000.1888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	804	0.9922043	2285.0686	8.390838	1982-1999 –> 2000-2012	1.8403520	5000.1888
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	804	0.9868544	2278.3749	8.854339	1982-1999 –> 2000-2012	1.8168843	4949.0267
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	804	0.9873842	2277.2379	8.903940	1982-1999 –> 2000-2012	1.8184314	4948.5258
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	434	1.0172781	1262.5079	9.052235	2000-2012 –> 2013-2019	2.0094824	3547.5766
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	434	1.0172781	1262.5079	9.052235	2000-2012 –> 2013-2019	2.0094824	3547.5766
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	434	1.0166672	1263.9865	9.190678	2000-2012 –> 2013-2019	2.0035216	3542.3614
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	434	1.0173491	1262.5685	9.266596	2000-2012 –> 2013-2019	2.0047333	3539.8065
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	936	0.7426781	2115.3468	7.167238	1982-1999 –> 2000-2012	1.3257737	4409.3412
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	936	0.7504876	2134.9287	7.809835	1982-1999 –> 2000-2012	1.3189048	4362.8898
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	936	0.7332530	2093.4379	7.182115	1982-1999 –> 2000-2012	1.2960746	4297.7757
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	936	0.7361194	2098.7416	6.952808	1982-1999 –> 2000-2012	1.3184348	4389.2677
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	497	0.8223025	1231.9518	8.292878	2000-2012 –> 2013-2019	1.5649805	3347.2986
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	497	0.8223025	1231.9518	8.292878	2000-2012 –> 2013-2019	1.5649805	3347.2986
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	497	0.8098062	1218.7303	8.335684	2000-2012 –> 2013-2019	1.5430592	3312.1683
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.1,28.15]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	497	0.8110670	1218.2767	8.149465	2000-2012 –> 2013-2019	1.5471864	3317.0183
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1540	0.3404219	1067.4161	1.568671	1982-1999 –> 2000-2012	0.7401038	3315.6553
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1540	0.3499661	1152.5806	1.618526	1982-1999 –> 2000-2012	0.7393463	3284.6693
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1540	0.3383167	1050.3104	1.617842	1982-1999 –> 2000-2012	0.7244768	3147.4620
Atlantic	(28.15,28.2]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1540	0.3426059	1087.1135	1.730599	1982-1999 –> 2000-2012	0.7339173	3241.2092
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate + phosphate_star	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	819	0.6071981	1523.0228	5.764461	2000-2012 –> 2013-2019	0.9476199	2590.4388
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	819	0.5919930	1481.4826	5.113831	2000-2012 –> 2013-2019	0.9419591	2634.0632
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	819	0.5837815	1460.6029	5.171558	2000-2012 –> 2013-2019	0.9220982	2510.9133
Atlantic	(28.15,28.2]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	819	0.6397228	1608.4936	7.182190	2000-2012 –> 2013-2019	0.9823288	2695.6071
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2693	0.3242747	1592.8815	2.111834	1982-1999 –> 2000-2012	0.6221868	3152.5217
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2693	0.3242570	1592.5877	2.108998	1982-1999 –> 2000-2012	0.6217599	3142.0281
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate + phosphate_star	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2693	0.3159903	1455.4947	2.104197	1982-1999 –> 2000-2012	0.5862118	2293.0711
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate + phosphate_star	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	2693	0.3223335	1560.5427	2.108922	1982-1999 –> 2000-2012	0.6153076	2996.1299
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1557	0.3498036	1163.6809	2.743213	2000-2012 –> 2013-2019	0.6740783	2756.5624
Atlantic	(28.2, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1557	0.3498036	1163.6809	2.743213	2000-2012 –> 2013-2019	0.6740783	2756.5624
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + nitrate + silicate + phosphate + phosphate_star	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1557	0.3330850	1013.1749	2.720445	2000-2012 –> 2013-2019	0.6490752	2468.6696
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate + phosphate_star	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Atlantic	(28.2, Inf]	cstar_tref ~ sal + temp + oxygen + nitrate + silicate + phosphate_star	1557	0.3472468	1140.8362	2.736144	2000-2012 –> 2013-2019	0.6695803	2701.3789
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	5288	5.8704994	33741.5762	32.823104	1982-1999 –> 2000-2012	12.0405560	80348.7455
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	5288	5.9081398	33809.1709	33.266206	1982-1999 –> 2000-2012	12.1253508	80525.8665
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	5288	5.9081398	33809.1709	33.266206	1982-1999 –> 2000-2012	12.1253508	80525.8665
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5288	5.8703920	33743.3827	32.845116	1982-1999 –> 2000-2012	12.0393795	80350.0591
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2816	5.5779109	17687.8240	25.740680	2000-2012 –> 2013-2019	11.4484102	51429.4002
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	2816	5.6377423	17747.9139	27.730751	2000-2012 –> 2013-2019	11.5458821	51557.0848
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	2816	5.6377423	17747.9139	27.730751	2000-2012 –> 2013-2019	11.5458821	51557.0848
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(-Inf,26]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2816	5.5768716	17688.7746	25.837968	2000-2012 –> 2013-2019	11.4472636	51432.1573
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	5525	4.3935346	32050.7520	50.440434	1982-1999 –> 2000-2012	8.4460883	75535.9915
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	5525	4.4061232	32082.3678	47.078239	1982-1999 –> 2000-2012	8.4591499	75569.4077
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	5525	4.4704675	32242.5684	45.886023	1982-1999 –> 2000-2012	8.5687687	75900.9471
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5525	4.3695428	31992.2458	49.315429	1982-1999 –> 2000-2012	8.3981502	75388.0758
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2918	4.2159915	16694.2570	56.960184	2000-2012 –> 2013-2019	8.6095261	48745.0090
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	2918	4.2631014	16759.1074	51.269363	2000-2012 –> 2013-2019	8.6692246	48841.4752
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	2918	4.3372834	16859.7858	48.195586	2000-2012 –> 2013-2019	8.8077509	49102.3542
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26,26.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2918	4.2073013	16684.2151	55.736884	2000-2012 –> 2013-2019	8.5768441	48676.4609
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	4544	3.7973242	25037.4014	25.787956	1982-1999 –> 2000-2012	7.5031722	59371.4273
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	4544	3.7883819	25017.9750	25.871154	1982-1999 –> 2000-2012	7.4920814	59346.7074
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	4544	3.8865474	25248.4661	26.552236	1982-1999 –> 2000-2012	7.6319717	59716.0842
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	4544	3.8865474	25248.4661	26.552236	1982-1999 –> 2000-2012	7.6319717	59716.0842
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	2447	4.1263148	13896.9659	30.566323	2000-2012 –> 2013-2019	7.9236390	38934.3673
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2447	4.1092818	13878.7222	29.174056	2000-2012 –> 2013-2019	7.8976637	38896.6972
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2447	4.1678205	13945.9476	29.090807	2000-2012 –> 2013-2019	8.0196559	39112.8814
Indo-Pacific	(26.5,26.75]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2447	4.1678205	13945.9476	29.090807	2000-2012 –> 2013-2019	8.0196559	39112.8814
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	5354	4.1297714	30396.3157	22.529968	1982-1999 –> 2000-2012	7.6991045	70948.9367
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	5354	4.1297714	30396.3157	22.529968	1982-1999 –> 2000-2012	7.6991045	70948.9367
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5354	4.0686072	30238.5379	20.211284	1982-1999 –> 2000-2012	7.5960628	70615.3985
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5354	4.1333789	30405.6653	21.215537	1982-1999 –> 2000-2012	7.6969339	70933.8839
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2868	4.4937059	16774.3909	19.327696	2000-2012 –> 2013-2019	8.6234773	47170.7066
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate_star	2868	4.4937059	16774.3909	19.327696	2000-2012 –> 2013-2019	8.6234773	47170.7066
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2868	4.4456859	16714.7657	18.413340	2000-2012 –> 2013-2019	8.5142930	46953.3037
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(26.75,27]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2868	4.4840776	16762.0876	17.854645	2000-2012 –> 2013-2019	8.5907831	47098.4283
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	6466	3.8726504	35874.8540	50.618008	1982-1999 –> 2000-2012	6.9727897	80966.3689
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	6466	3.8726504	35874.8540	50.618008	1982-1999 –> 2000-2012	6.9727897	80966.3689
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	6466	3.6843471	35232.2482	42.550831	1982-1999 –> 2000-2012	6.7021130	79849.7973
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	6466	3.7081089	35313.3840	40.775761	1982-1999 –> 2000-2012	6.7773901	80228.0938
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3470	4.3044979	19995.4772	31.639625	2000-2012 –> 2013-2019	7.9888450	55227.7255
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	3470	4.4451810	20216.6683	27.341770	2000-2012 –> 2013-2019	8.3693126	56262.3016
Indo-Pacific	(27,27.25]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	3470	4.4451810	20216.6683	27.341770	2000-2012 –> 2013-2019	8.3693126	56262.3016
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27,27.25]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	3470	4.3256980	20027.5737	30.237193	2000-2012 –> 2013-2019	8.0338070	55340.9576
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5847	3.1694873	30100.9131	32.456526	1982-1999 –> 2000-2012	5.9497930	68655.5399
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5847	3.2565652	30415.8576	32.882574	1982-1999 –> 2000-2012	6.0927645	69282.6491
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	5847	3.2436036	30369.2208	32.869663	1982-1999 –> 2000-2012	6.1018904	69358.4575
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	5847	3.2436036	30369.2208	32.869663	1982-1999 –> 2000-2012	6.1018904	69358.4575
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3127	3.7363167	17133.4407	33.056947	2000-2012 –> 2013-2019	6.9928819	47549.2983
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3127	3.6527302	16993.9415	32.104464	2000-2012 –> 2013-2019	6.8222175	47094.8546
Indo-Pacific	(27.25,27.5]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	3127	3.7363167	17133.4407	33.056947	2000-2012 –> 2013-2019	6.9928819	47549.2983
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.25,27.5]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	3127	3.7453349	17148.5176	32.174298	2000-2012 –> 2013-2019	6.9889385	47517.7384
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	5836	3.1290994	29892.6288	11.691571	1982-1999 –> 2000-2012	5.4155598	66315.3726
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	5836	3.0127413	29450.3204	12.655245	1982-1999 –> 2000-2012	5.4217398	66719.3261
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	5836	2.9783170	29318.1854	12.869829	1982-1999 –> 2000-2012	5.1744982	65089.9113
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	5836	3.0038077	29415.6584	11.950018	1982-1999 –> 2000-2012	5.2195159	65328.8752
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	3104	3.4637436	16537.2790	14.276204	2000-2012 –> 2013-2019	6.4764849	45987.5994
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	3104	3.4602176	16532.9562	13.845770	2000-2012 –> 2013-2019	6.4385346	45851.1416
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate	3104	3.4945155	16590.1873	14.687842	2000-2012 –> 2013-2019	6.5249366	46106.8027
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.5,27.75]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	3104	3.4928406	16589.2112	14.401213	2000-2012 –> 2013-2019	6.4966483	46004.8695
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2317	2.6289513	11072.5162	21.934772	1982-1999 –> 2000-2012	4.5090898	23929.3942
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2317	2.6295577	11071.5849	21.740452	1982-1999 –> 2000-2012	4.5142019	23941.4519
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	2317	2.6387244	11087.7111	21.365807	1982-1999 –> 2000-2012	4.5411434	24016.3604
Indo-Pacific	(27.75,27.85]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2317	2.6387244	11087.7111	21.365807	1982-1999 –> 2000-2012	4.5411434	24016.3604
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate	1264	2.9816794	6364.8830	35.980451	2000-2012 –> 2013-2019	5.6310431	17471.2407
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1264	2.9672019	6354.5784	33.274356	2000-2012 –> 2013-2019	5.5961533	17427.0947
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate	1264	2.9877934	6368.0614	34.251747	2000-2012 –> 2013-2019	5.6399206	17477.2502
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.75,27.85]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	1264	2.9813479	6364.6019	31.895420	2000-2012 –> 2013-2019	5.6109056	17436.1868
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	2907	2.7016786	14044.0880	28.230018	1982-1999 –> 2000-2012	4.8032130	31396.1702
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	2907	2.7016786	14044.0880	28.230018	1982-1999 –> 2000-2012	4.8032130	31396.1702
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2907	2.7004857	14043.5202	28.455559	1982-1999 –> 2000-2012	4.7932875	31364.2073
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	2907	2.7011461	14042.9418	28.633357	1982-1999 –> 2000-2012	4.7939723	31361.7225
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + phosphate + phosphate_star	1542	3.1767440	7956.6687	31.881688	2000-2012 –> 2013-2019	5.8784226	22000.7567
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + phosphate	1542	3.1767440	7956.6687	31.881688	2000-2012 –> 2013-2019	5.8784226	22000.7567
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
Indo-Pacific	(27.85,27.95]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1542	3.1760747	7958.0189	31.994368	2000-2012 –> 2013-2019	5.8765604	22001.5392
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.85,27.95]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1542	3.1761372	7956.0795	31.940854	2000-2012 –> 2013-2019	5.8772832	21999.0214
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	2467	2.1545744	10804.3477	8.077510	1982-1999 –> 2000-2012	4.0373824	25358.7135
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2467	2.1545744	10804.3477	8.077510	1982-1999 –> 2000-2012	4.0373824	25358.7135
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + silicate + phosphate + phosphate_star	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	2467	2.1513187	10798.8864	8.032399	1982-1999 –> 2000-2012	4.0117616	25270.5770
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	2467	2.1669752	10832.6643	8.102243	1982-1999 –> 2000-2012	4.0291385	25308.9041
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	1354	2.3828037	6209.7818	8.123602	2000-2012 –> 2013-2019	4.5373781	17014.1295
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate	1354	2.3851377	6212.4332	8.081850	2000-2012 –> 2013-2019	4.5412006	17020.1883
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate_star	1354	2.3838054	6210.9200	8.096156	2000-2012 –> 2013-2019	4.5393721	17017.5396
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(27.95,28.05]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1354	2.3752818	6203.2199	8.355865	2000-2012 –> 2013-2019	4.5266005	17002.1063
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	1718	1.6596412	6634.1553	10.112265	1982-1999 –> 2000-2012	3.0763941	15679.5548
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	1718	1.7729967	6859.1708	9.239349	1982-1999 –> 2000-2012	3.3162971	16339.5889
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate + phosphate_star	1718	1.7729967	6859.1708	9.239349	1982-1999 –> 2000-2012	3.3162971	16339.5889
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	1718	1.6851843	6684.6350	9.508440	1982-1999 –> 2000-2012	3.1119376	15763.9638
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	966	1.8625995	3961.0413	10.132291	2000-2012 –> 2013-2019	3.5222407	10595.1966
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate	966	1.9441954	4041.8760	8.956172	2000-2012 –> 2013-2019	3.7171920	10901.0468
Indo-Pacific	(28.05,28.1]	cstar_tref ~ sal + temp + oxygen + aou + silicate + phosphate_star	966	1.9441954	4041.8760	8.956172	2000-2012 –> 2013-2019	3.7171920	10901.0468
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.05,28.1]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	966	1.8716119	3968.3669	9.781216	2000-2012 –> 2013-2019	3.5567962	10653.0019
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate	14627	1.2259117	47484.2225	13.501571	1982-1999 –> 2000-2012	2.2575423	106474.9432
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.2259117	47484.2225	13.501571	1982-1999 –> 2000-2012	2.2575423	106474.9432
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.1913295	46649.1221	13.074387	1982-1999 –> 2000-2012	2.2118753	105202.4830
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	14627	1.1936124	46703.1286	13.187468	1982-1999 –> 2000-2012	2.2141619	105254.6322
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + aou + nitrate + silicate + phosphate + phosphate_star	7804	1.3942652	27350.3851	10.629411	2000-2012 –> 2013-2019	2.6201769	74834.6076
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3942652	27350.3851	10.629411	2000-2012 –> 2013-2019	2.6201769	74834.6076
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + aou + nitrate + silicate + phosphate + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ sal + temp + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3463098	26806.1024	10.367173	2000-2012 –> 2013-2019	2.5376393	73455.2245
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + aou + nitrate + silicate + phosphate + phosphate_star	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate + phosphate_star	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557
Indo-Pacific	(28.1, Inf]	cstar_tref ~ temp + oxygen + aou + nitrate + silicate + phosphate_star	7804	1.3486947	26831.7271	10.395678	2000-2012 –> 2013-2019	2.5423072	73534.8557

5.3.2 per fitting unit

lm_best %>%
  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 –> 2000-2012	2.3465369	1196.0818
Atlantic	(-Inf,26]	2000-2012 –> 2013-2019	2.0901649	700.6787
Atlantic	(26,26.5]	1982-1999 –> 2000-2012	6.4471412	13347.2526
Atlantic	(26,26.5]	2000-2012 –> 2013-2019	6.2593840	8319.2357
Atlantic	(26.5,26.75]	1982-1999 –> 2000-2012	6.1051480	16698.4437
Atlantic	(26.5,26.75]	2000-2012 –> 2013-2019	6.4244505	10621.3952
Atlantic	(26.75,27]	1982-1999 –> 2000-2012	3.4819186	21579.6759
Atlantic	(26.75,27]	2000-2012 –> 2013-2019	4.1942043	15706.3436
Atlantic	(27,27.25]	1982-1999 –> 2000-2012	3.2206116	17481.5036
Atlantic	(27,27.25]	2000-2012 –> 2013-2019	3.8816704	13051.2438
Atlantic	(27.25,27.5]	1982-1999 –> 2000-2012	3.7639317	19820.2496
Atlantic	(27.25,27.5]	2000-2012 –> 2013-2019	4.8524332	14224.9727
Atlantic	(27.5,27.75]	1982-1999 –> 2000-2012	4.4380463	28842.6792
Atlantic	(27.5,27.75]	2000-2012 –> 2013-2019	5.0604703	20123.7193
Atlantic	(27.75,27.85]	1982-1999 –> 2000-2012	3.0021696	8637.6039
Atlantic	(27.75,27.85]	2000-2012 –> 2013-2019	3.1304740	5763.5257
Atlantic	(27.85,27.95]	1982-1999 –> 2000-2012	5.6190688	11374.8244
Atlantic	(27.85,27.95]	2000-2012 –> 2013-2019	6.1449864	7876.6580
Atlantic	(27.95,28.05]	1982-1999 –> 2000-2012	6.8753248	15269.8860
Atlantic	(27.95,28.05]	2000-2012 –> 2013-2019	6.8611171	9995.1193
Atlantic	(28.05,28.1]	1982-1999 –> 2000-2012	1.8221967	4959.0588
Atlantic	(28.05,28.1]	2000-2012 –> 2013-2019	2.0051984	3542.3825
Atlantic	(28.1,28.15]	1982-1999 –> 2000-2012	1.3102716	4352.0405
Atlantic	(28.1,28.15]	2000-2012 –> 2013-2019	1.5490944	3321.1343
Atlantic	(28.15,28.2]	1982-1999 –> 2000-2012	0.7313026	3215.5009
Atlantic	(28.15,28.2]	2000-2012 –> 2013-2019	0.9403160	2573.5079
Atlantic	(28.2, Inf]	1982-1999 –> 2000-2012	0.6050024	2745.1354
Atlantic	(28.2, Inf]	2000-2012 –> 2013-2019	0.6622779	2619.3319
Indo-Pacific	(-Inf,26]	1982-1999 –> 2000-2012	12.0570444	80384.6952
Indo-Pacific	(-Inf,26]	2000-2012 –> 2013-2019	11.4674459	51456.0400
Indo-Pacific	(26,26.5]	1982-1999 –> 2000-2012	8.4404873	75516.6624
Indo-Pacific	(26,26.5]	2000-2012 –> 2013-2019	8.6222456	48762.9709
Indo-Pacific	(26.5,26.75]	1982-1999 –> 2000-2012	7.5244958	59430.4707
Indo-Pacific	(26.5,26.75]	2000-2012 –> 2013-2019	7.9324522	38955.0021
Indo-Pacific	(26.75,27]	1982-1999 –> 2000-2012	7.6570196	70809.5003
Indo-Pacific	(26.75,27]	2000-2012 –> 2013-2019	8.5667259	47054.8341
Indo-Pacific	(27,27.25]	1982-1999 –> 2000-2012	6.7863592	80224.4302
Indo-Pacific	(27,27.25]	2000-2012 –> 2013-2019	8.0829233	55479.9336
Indo-Pacific	(27.25,27.5]	1982-1999 –> 2000-2012	6.0374011	69046.9671
Indo-Pacific	(27.25,27.5]	2000-2012 –> 2013-2019	6.9230388	47354.8969
Indo-Pacific	(27.5,27.75]	1982-1999 –> 2000-2012	5.2413356	65470.9844
Indo-Pacific	(27.5,27.75]	2000-2012 –> 2013-2019	6.4742153	45951.8447
Indo-Pacific	(27.75,27.85]	1982-1999 –> 2000-2012	4.5175453	23951.6105
Indo-Pacific	(27.75,27.85]	2000-2012 –> 2013-2019	5.6099199	17440.1617
Indo-Pacific	(27.85,27.95]	1982-1999 –> 2000-2012	4.7955465	31369.6060
Indo-Pacific	(27.85,27.95]	2000-2012 –> 2013-2019	5.8772220	22000.3755
Indo-Pacific	(27.95,28.05]	1982-1999 –> 2000-2012	4.0238365	25303.5351
Indo-Pacific	(27.95,28.05]	2000-2012 –> 2013-2019	4.5336487	17010.2671
Indo-Pacific	(28.05,28.1]	1982-1999 –> 2000-2012	3.1385921	15845.3252
Indo-Pacific	(28.05,28.1]	2000-2012 –> 2013-2019	3.5750532	10679.4888
Indo-Pacific	(28.1, Inf]	1982-1999 –> 2000-2012	2.2219233	105477.8348
Indo-Pacific	(28.1, Inf]	2000-2012 –> 2013-2019	2.5560139	73762.9536

5.4 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)

5.5 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/

5.6 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)

5.7 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 = ""))

6 Model diagnotics

6.1 Selection criterion vs predictors

The selection criterion (rmse) was plotted against the number of predictors (limited to 3 - 9).

6.1.1 All models

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")

Past versions of eMLR_predictor_model_quality_all-1.png

Version	Author	Date
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
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
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

6.1.2 Best models

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")

Past versions of eMLR_predictor_model_quality_best-1.png

Version	Author	Date
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

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
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
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	phosphate	phosphate_star	sal	silicate	temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26]	10	10	6	7	5	10	10	6
(26,26.5]	10	10	8	6	4	10	10	5
(26.5,26.75]	10	8	7	8	5	6	10	10
(26.75,27]	10	6	7	8	5	8	10	10
(27,27.25]	10	10	6	7	5	10	10	6
(27.25,27.5]	10	10	8	6	4	10	10	5
(27.5,27.75]	9	6	7	8	4	10	10	10
(27.75,27.85]	10	10	7	8	5	10	8	6
(27.85,27.95]	10	8	7	8	5	10	6	10
(27.95,28.05]	10	10	6	7	6	9	6	10
(28.05,28.1]	10	6	8	7	5	10	8	10
(28.1,28.15]	10	6	8	6	5	10	9	10
(28.15,28.2]	10	10	8	7	4	6	9	10
(28.2, Inf]	6	10	7	8	4	10	10	9
total	135.00	120.00	100.00	101.00	66.00	129.00	126.00	117.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26]	10	10	6	7	5	10	10	6
(26,26.5]	10	10	8	6	4	10	10	5
(26.5,26.75]	10	8	8	7	5	6	10	10
(26.75,27]	10	6	8	7	5	8	10	10
(27,27.25]	10	10	6	7	5	10	10	6
(27.25,27.5]	10	10	6	7	5	10	10	6
(27.5,27.75]	10	10	6	8	4	10	10	5
(27.75,27.85]	10	10	8	8	4	10	8	6
(27.85,27.95]	10	8	7	8	5	10	6	10
(27.95,28.05]	10	10	6	7	6	9	6	10
(28.05,28.1]	10	6	8	7	5	10	8	10
(28.1,28.15]	10	6	8	7	5	10	8	10
(28.15,28.2]	10	10	8	7	4	9	6	10
(28.2, Inf]	6	10	8	7	5	10	10	8
total	136.00	124.00	101.00	100.00	67.00	132.00	122.00	112.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26]	10	10	8	7	5	10	8	6
(26,26.5]	10	10	6	7	5	10	10	6
(26.5,26.75]	10	8	8	7	5	10	10	6
(26.75,27]	10	6	8	7	5	10	8	10
(27,27.25]	10	10	7	7	6	6	10	8
(27.25,27.5]	10	6	7	8	5	8	10	10
(27.5,27.75]	10	6	7	7	4	10	10	10
(27.75,27.85]	10	6	7	7	6	8	10	10
(27.85,27.95]	10	10	7	8	5	6	8	10
(27.95,28.05]	10	6	8	8	4	10	10	8
(28.05,28.1]	10	8	8	8	4	6	10	10
(28.1, Inf]	10	10	8	7	5	6	10	8
total	120.00	96.00	89.00	88.00	59.00	100.00	114.00	102.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26]	10	10	7	7	6	10	8	6
(26,26.5]	10	10	6	7	5	10	10	6
(26.5,26.75]	10	10	8	7	5	8	10	6
(26.75,27]	10	10	8	7	5	6	8	10
(27,27.25]	10	8	8	7	5	6	10	10
(27.25,27.5]	10	8	7	8	5	6	10	10
(27.5,27.75]	10	5	8	6	4	10	10	10
(27.75,27.85]	10	5	8	6	4	10	10	10
(27.85,27.95]	10	10	7	8	5	6	8	10
(27.95,28.05]	10	10	6	7	5	10	10	6
(28.05,28.1]	10	8	8	7	5	6	10	10
(28.1, Inf]	10	10	7	7	6	6	10	8
total	120.00	104.00	88.00	84.00	60.00	94.00	114.00	102.00

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
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
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] gt_0.2.2         corrr_0.4.3      broom_0.7.5      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  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                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1