Last updated: 2021-01-14

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: 88db051

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 88db051. 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/

Untracked files:
    Untracked:  code/analysis_this_study.Rmd
    Untracked:  code/analysis_this_study_vs_model_truth.Rmd

Unstaged changes:
    Modified:   analysis/_site.yml
    Deleted:    analysis/analysis_this_study.Rmd
    Deleted:    analysis/analysis_this_study_vs_model_truth.Rmd
    Modified:   code/Workflowr_project_managment.R
    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 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, aou, oxygen, 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 helper objects
rm(i_gamma_slab,
   i_era,
   i_basin,
   GLODAP_basin_era,
   GLODAP_basin_era_slab,
   lm_full)

3 Apply predictor threshold

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

  • Minimum: 2
  • Maximum: 5
lm_all <- lm_all %>% 
  filter(n >= params_local$MLR_predictors_min,
         n <= params_local$MLR_predictors_max)

This results in a total number of MLR models of:

  • 112

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)
      
      for (i_predictors in unique(lm_all$predictors)) {
        # i_predictors <- unique(lm_all$predictors)[110]

        # 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()
        
        # fit model
        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,
            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
        }
        
        # plot model diagnostics, if activated
        if (params_local$plot_all_figures == "y") {
          p_model <- ggnostic(
            i_lm_fit,
            columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
            title = paste(
              "| era:",
              i_era,
              "| basin:",
              i_basin,
              "| gamma slab:",
              i_gamma_slab,
              "| predictors:",
              i_predictors
            )
          )
          
          ggsave(
            plot = p_model,
            path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
            filename = paste(
              "MLR_residuals",
              i_era,
              i_basin,
              i_gamma_slab,
              i_predictors,
              "predictors.png",
              sep = "_"
            ),
            width = 14,
            height = 8
          )
          
          rm(p_model)
          
        }
        
      }
      
      
    }
  }
  
}


rm(i_lm_fit, coefficients, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm,
   i_basin, i_era, i_gamma_slab, i_predictors,
   lm_all,
   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, 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, 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)
}


# print table
lm_best %>% 
  kable() %>%
  add_header_above() %>%
  kable_styling() %>%
  scroll_box(width = "100%", height = "400px")
basin gamma_slab model rmse aic resid_max eras rmse_sum aic_sum
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen 0.7809678 133.85859 2.0772701 1982-1999 –> 2000-2012 2.4182795 344.70599
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.7425615 130.61405 2.1602026 1982-1999 –> 2000-2012 2.2577295 335.39839
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.7425615 130.61405 2.1602026 1982-1999 –> 2000-2012 2.2577295 335.39839
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 0.6812955 121.65866 1.8480163 1982-1999 –> 2000-2012 2.3184984 334.49915
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7425615 130.61405 2.1602026 1982-1999 –> 2000-2012 2.2577295 335.39839
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + phosphate 0.7570324 130.62129 2.1365217 1982-1999 –> 2000-2012 2.4218012 343.19827
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.6801275 121.48021 1.9354268 1982-1999 –> 2000-2012 2.0465353 315.51708
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.6801275 121.48021 1.9354268 1982-1999 –> 2000-2012 2.0465353 315.51708
Atlantic (-Inf,26] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.7570324 130.62129 2.1365217 1982-1999 –> 2000-2012 2.4218012 343.19827
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6801275 121.48021 1.9354268 1982-1999 –> 2000-2012 2.0465353 315.51708
Atlantic (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.0440426 -71.18296 0.0902802 2000-2012 –> 2013-2019 0.7310401 51.34248
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + silicate 0.0481951 -66.67802 0.1236976 2000-2012 –> 2013-2019 0.7294906 54.98064
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.0439239 -71.31794 0.0921668 2000-2012 –> 2013-2019 0.7235239 50.08159
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.0438963 -71.34931 0.0930618 2000-2012 –> 2013-2019 0.7241262 50.14655
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.0439039 -71.34072 0.0953370 2000-2012 –> 2013-2019 0.7224621 49.89925
Atlantic (-Inf,26] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.0439039 -71.34072 0.0953370 2000-2012 –> 2013-2019 0.7224621 49.89925
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.0439039 -71.34072 0.0953370 2000-2012 –> 2013-2019 0.7224621 49.89925
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.0438948 -71.35101 0.0947611 2000-2012 –> 2013-2019 0.7240223 50.12919
Atlantic (-Inf,26] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.0438948 -71.35101 0.0947611 2000-2012 –> 2013-2019 0.7240223 50.12919
Atlantic (-Inf,26] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.0438948 -71.35101 0.0947611 2000-2012 –> 2013-2019 0.7240223 50.12919
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.8498325 2144.56550 11.3406948 1982-1999 –> 2000-2012 6.9328661 3894.15496
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.8498325 2144.56550 11.3406948 1982-1999 –> 2000-2012 6.9328661 3894.15496
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8498325 2144.56550 11.3406948 1982-1999 –> 2000-2012 6.9328661 3894.15496
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.9284879 2160.13871 11.8726573 1982-1999 –> 2000-2012 7.1140315 3932.03563
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.9475480 2163.86553 12.1138485 1982-1999 –> 2000-2012 7.1523363 3939.87021
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.9565582 2165.62104 12.1792405 1982-1999 –> 2000-2012 7.1688705 3943.22499
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.9565582 2165.62104 12.1792405 1982-1999 –> 2000-2012 7.1688705 3943.22499
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.9565582 2165.62104 12.1792405 1982-1999 –> 2000-2012 7.1688705 3943.22499
Atlantic (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.2280733 2216.72740 15.0029847 1982-1999 –> 2000-2012 7.9674374 4097.94391
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2280733 2216.72740 15.0029847 1982-1999 –> 2000-2012 7.9674374 4097.94391
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4590247 797.72173 5.6105742 2000-2012 –> 2013-2019 6.3088572 2942.28722
Atlantic (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4590247 797.72173 5.6105742 2000-2012 –> 2013-2019 6.3088572 2942.28722
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4590247 797.72173 5.6105742 2000-2012 –> 2013-2019 6.3088572 2942.28722
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3555704 783.19385 5.5005819 2000-2012 –> 2013-2019 6.2840584 2943.33256
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3472685 782.00050 5.4836198 2000-2012 –> 2013-2019 6.2948165 2945.86604
Atlantic (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.3584706 783.60974 5.5099605 2000-2012 –> 2013-2019 6.3150288 2949.23077
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3584706 783.60974 5.5099605 2000-2012 –> 2013-2019 6.3150288 2949.23077
Atlantic (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.8825144 707.42284 6.0035096 2000-2012 –> 2013-2019 6.1105877 2924.15024
Atlantic (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.8825144 707.42284 6.0035096 2000-2012 –> 2013-2019 6.1105877 2924.15024
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8825144 707.42284 6.0035096 2000-2012 –> 2013-2019 6.1105877 2924.15024
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 3.9971830 3270.86201 13.2209042 1982-1999 –> 2000-2012 6.7152620 5106.68538
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 3.9971830 3270.86201 13.2209042 1982-1999 –> 2000-2012 6.7152620 5106.68538
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.9971830 3270.86201 13.2209042 1982-1999 –> 2000-2012 6.7152620 5106.68538
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.9846842 3269.22284 13.5499402 1982-1999 –> 2000-2012 6.7026507 5107.01503
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.9846842 3269.22284 13.5499402 1982-1999 –> 2000-2012 6.7026507 5107.01503
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.9846842 3269.22284 13.5499402 1982-1999 –> 2000-2012 6.7026507 5107.01503
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.0153437 3278.12944 13.9597422 1982-1999 –> 2000-2012 6.7892579 5131.28468
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.8917538 3241.80180 15.2756633 1982-1999 –> 2000-2012 6.5276151 5056.46577
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.8917538 3241.80180 15.2756633 1982-1999 –> 2000-2012 6.5276151 5056.46577
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8917538 3241.80180 15.2756633 1982-1999 –> 2000-2012 6.5276151 5056.46577
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate 2.7166201 582.72518 11.2366719 2000-2012 –> 2013-2019 6.7138031 3853.58718
Atlantic (26.5,26.75] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.7166201 582.72518 11.2366719 2000-2012 –> 2013-2019 6.7138031 3853.58718
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7166201 582.72518 11.2366719 2000-2012 –> 2013-2019 6.7138031 3853.58718
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.6726733 580.87619 10.6080611 2000-2012 –> 2013-2019 6.6573575 3850.09903
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.6726733 580.87619 10.6080611 2000-2012 –> 2013-2019 6.6573575 3850.09903
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6726733 580.87619 10.6080611 2000-2012 –> 2013-2019 6.6573575 3850.09903
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6856638 582.02048 10.9520865 2000-2012 –> 2013-2019 6.7010075 3860.14993
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.7163585 584.70246 11.1980846 2000-2012 –> 2013-2019 6.6081124 3826.50425
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.7163585 584.70246 11.1980846 2000-2012 –> 2013-2019 6.6081124 3826.50425
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.7163585 584.70246 11.1980846 2000-2012 –> 2013-2019 6.6081124 3826.50425
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate 2.6380588 4770.85189 13.1434793 1982-1999 –> 2000-2012 4.3586100 7831.15223
Atlantic (26.75,27] cstar_tref ~ aou + oxygen + silicate + phosphate_star 2.6380588 4770.85189 13.1434793 1982-1999 –> 2000-2012 4.3586100 7831.15223
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6380588 4770.85189 13.1434793 1982-1999 –> 2000-2012 4.3586100 7831.15223
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.5691297 4720.11143 12.6389106 1982-1999 –> 2000-2012 4.2889475 7781.74921
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.5691297 4720.11143 12.6389106 1982-1999 –> 2000-2012 4.2889475 7781.74921
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5691297 4720.11143 12.6389106 1982-1999 –> 2000-2012 4.2889475 7781.74921
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6363187 4771.53751 12.7136994 1982-1999 –> 2000-2012 4.5150960 7970.55330
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.5608624 4713.69092 12.5196205 1982-1999 –> 2000-2012 4.1459188 7648.52496
Atlantic (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.5608624 4713.69092 12.5196205 1982-1999 –> 2000-2012 4.1459188 7648.52496
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5608624 4713.69092 12.5196205 1982-1999 –> 2000-2012 4.1459188 7648.52496
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.2973153 1080.82219 9.6340579 2000-2012 –> 2013-2019 4.8664450 5800.93361
Atlantic (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.2973153 1080.82219 9.6340579 2000-2012 –> 2013-2019 4.8664450 5800.93361
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.2974853 1078.85727 9.5903640 2000-2012 –> 2013-2019 5.0380876 5925.67282
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2973153 1080.82219 9.6340579 2000-2012 –> 2013-2019 4.8664450 5800.93361
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2956660 1080.48177 9.7242563 2000-2012 –> 2013-2019 4.9319847 5852.01928
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2879976 1078.89578 9.6274708 2000-2012 –> 2013-2019 4.9741211 5887.71467
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.2882592 1078.94997 9.6030520 2000-2012 –> 2013-2019 4.9934989 5901.89501
Atlantic (26.75,27] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.2882592 1078.94997 9.6030520 2000-2012 –> 2013-2019 4.9934989 5901.89501
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2882592 1078.94997 9.6030520 2000-2012 –> 2013-2019 4.9934989 5901.89501
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.6722178 1152.47562 11.8382781 2000-2012 –> 2013-2019 5.2330802 5866.16654
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.1681177 5403.89723 11.0657725 1982-1999 –> 2000-2012 3.5456671 8819.85977
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.1681177 5403.89723 11.0657725 1982-1999 –> 2000-2012 3.5456671 8819.85977
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.1744607 5409.07786 10.7496732 1982-1999 –> 2000-2012 3.6870811 9005.99955
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.1681177 5403.89723 11.0657725 1982-1999 –> 2000-2012 3.5456671 8819.85977
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1739219 5410.46873 10.8429707 1982-1999 –> 2000-2012 3.5833317 8871.15495
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2101379 5451.07992 10.8680275 1982-1999 –> 2000-2012 3.6631803 8971.40175
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.2185242 5460.38904 10.8660375 1982-1999 –> 2000-2012 3.6843877 8997.89417
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.2185242 5460.38904 10.8660375 1982-1999 –> 2000-2012 3.6843877 8997.89417
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2185242 5460.38904 10.8660375 1982-1999 –> 2000-2012 3.6843877 8997.89417
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5056792 5759.57098 13.4813560 1982-1999 –> 2000-2012 4.0916232 9451.08246
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.9401521 1633.56643 8.2521474 2000-2012 –> 2013-2019 4.1082698 7037.46366
Atlantic (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.9401521 1633.56643 8.2521474 2000-2012 –> 2013-2019 4.1082698 7037.46366
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9675418 1642.47288 7.8365467 2000-2012 –> 2013-2019 4.1420026 7051.55074
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9401521 1633.56643 8.2521474 2000-2012 –> 2013-2019 4.1082698 7037.46366
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9587182 1638.97601 8.4879296 2000-2012 –> 2013-2019 4.2753819 7203.76176
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9349428 1631.47469 8.3015637 2000-2012 –> 2013-2019 4.1088648 7041.94342
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9442717 1635.21662 8.2716662 2000-2012 –> 2013-2019 4.1544096 7086.29654
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.9457224 1635.79688 8.2653400 2000-2012 –> 2013-2019 4.1642466 7096.18592
Atlantic (27,27.25] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.9457224 1635.79688 8.2653400 2000-2012 –> 2013-2019 4.1642466 7096.18592
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9457224 1635.79688 8.2653400 2000-2012 –> 2013-2019 4.1642466 7096.18592
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.3097058 12036.20688 19.2757793 1982-1999 –> 2000-2012 4.6260814 16586.25872
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.3097058 12036.20688 19.2757793 1982-1999 –> 2000-2012 4.6260814 16586.25872
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.3097080 12034.20996 19.2853994 1982-1999 –> 2000-2012 4.7971149 16909.38511
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3097058 12036.20688 19.2757793 1982-1999 –> 2000-2012 4.6260814 16586.25872
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.3988366 12158.34044 18.6106791 1982-1999 –> 2000-2012 5.1225724 17430.41251
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2964181 12017.71780 18.7257268 1982-1999 –> 2000-2012 4.5415081 16418.67388
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2252527 11917.40944 20.1109707 1982-1999 –> 2000-2012 4.5144786 16411.65128
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.2251848 11917.31269 20.0696031 1982-1999 –> 2000-2012 4.5302883 16444.33423
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.2251848 11917.31269 20.0696031 1982-1999 –> 2000-2012 4.5302883 16444.33423
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.2251848 11917.31269 20.0696031 1982-1999 –> 2000-2012 4.5302883 16444.33423
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.7459411 3153.59467 10.2400948 2000-2012 –> 2013-2019 7.0556469 15189.80155
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.7459411 3153.59467 10.2400948 2000-2012 –> 2013-2019 7.0556469 15189.80155
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.8687655 3188.56759 11.9597599 2000-2012 –> 2013-2019 7.1784735 15222.77755
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7459411 3153.59467 10.2400948 2000-2012 –> 2013-2019 7.0556469 15189.80155
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8596491 3187.86397 11.8244046 2000-2012 –> 2013-2019 7.1560672 15205.58177
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7261089 3147.51126 9.2111956 2000-2012 –> 2013-2019 6.9513616 15064.92070
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7231009 3146.58577 9.2453403 2000-2012 –> 2013-2019 6.9482857 15063.89845
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7231009 3146.58577 9.2453403 2000-2012 –> 2013-2019 6.9482857 15063.89845
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7231009 3146.58577 9.2453403 2000-2012 –> 2013-2019 6.9482857 15063.89845
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.7301991 3146.76857 9.1869755 2000-2012 –> 2013-2019 6.9792901 15096.02271
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4006938 18867.22503 19.3346654 1982-1999 –> 2000-2012 4.0408521 29395.26477
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4006938 18867.22503 19.3346654 1982-1999 –> 2000-2012 4.0408521 29395.26477
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4006938 18867.22503 19.3346654 1982-1999 –> 2000-2012 4.0408521 29395.26477
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 2.5343071 19312.22400 19.2526571 1982-1999 –> 2000-2012 4.1791520 29855.93995
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3932563 18841.73164 19.5514846 1982-1999 –> 2000-2012 3.9172781 28966.29209
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3595962 18725.35691 21.8075049 1982-1999 –> 2000-2012 3.7816419 28469.42314
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.3602820 18727.74461 21.6593084 1982-1999 –> 2000-2012 3.7815198 28468.68874
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.3602820 18727.74461 21.6593084 1982-1999 –> 2000-2012 3.7815198 28468.68874
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3602820 18727.74461 21.6593084 1982-1999 –> 2000-2012 3.7815198 28468.68874
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4822913 19139.83859 24.4123097 1982-1999 –> 2000-2012 3.9137287 28918.07017
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.0796279 5133.68348 10.6683765 2000-2012 –> 2013-2019 4.4803217 24000.90851
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.0796279 5133.68348 10.6683765 2000-2012 –> 2013-2019 4.4803217 24000.90851
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.1231849 5181.01682 10.9452919 2000-2012 –> 2013-2019 4.5271787 24057.52764
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0796279 5133.68348 10.6683765 2000-2012 –> 2013-2019 4.4803217 24000.90851
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1008012 5157.79241 10.8268946 2000-2012 –> 2013-2019 4.4940575 23999.52406
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0544696 5104.71587 10.4705213 2000-2012 –> 2013-2019 4.4140658 23830.07278
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.0546389 5104.91193 10.4908237 2000-2012 –> 2013-2019 4.4149209 23832.65654
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.0546389 5104.91193 10.4908237 2000-2012 –> 2013-2019 4.4149209 23832.65654
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0546389 5104.91193 10.4908237 2000-2012 –> 2013-2019 4.4149209 23832.65654
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.0714609 5122.31846 10.3444180 2000-2012 –> 2013-2019 4.5537522 24262.15705
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.1913083 5424.00423 6.7089315 1982-1999 –> 2000-2012 1.8511426 7374.12625
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.1913083 5424.00423 6.7089315 1982-1999 –> 2000-2012 1.8511426 7374.12625
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1913083 5424.00423 6.7089315 1982-1999 –> 2000-2012 1.8511426 7374.12625
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.1707506 5364.92475 6.5856147 1982-1999 –> 2000-2012 1.8927577 7488.83602
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.1707506 5364.92475 6.5856147 1982-1999 –> 2000-2012 1.8927577 7488.83602
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1707506 5364.92475 6.5856147 1982-1999 –> 2000-2012 1.8927577 7488.83602
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2272623 5524.92083 6.8273131 1982-1999 –> 2000-2012 1.9110354 7543.82293
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.2873675 5687.19989 7.1263801 1982-1999 –> 2000-2012 2.0097888 7812.21797
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.2873675 5687.19989 7.1263801 1982-1999 –> 2000-2012 2.0097888 7812.21797
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2873675 5687.19989 7.1263801 1982-1999 –> 2000-2012 2.0097888 7812.21797
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0257425 1108.82129 3.8752299 2000-2012 –> 2013-2019 2.2170508 6532.82552
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0257425 1108.82129 3.8752299 2000-2012 –> 2013-2019 2.2170508 6532.82552
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0257425 1108.82129 3.8752299 2000-2012 –> 2013-2019 2.2170508 6532.82552
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.8362449 953.99945 5.2034351 2000-2012 –> 2013-2019 2.0069955 6318.92420
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.8362449 953.99945 5.2034351 2000-2012 –> 2013-2019 2.0069955 6318.92420
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8362449 953.99945 5.2034351 2000-2012 –> 2013-2019 2.0069955 6318.92420
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0502397 1126.71139 4.1044281 2000-2012 –> 2013-2019 2.2775020 6651.63222
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.0779195 1146.43030 4.3526831 2000-2012 –> 2013-2019 2.3652871 6833.63018
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.0779195 1146.43030 4.3526831 2000-2012 –> 2013-2019 2.3652871 6833.63018
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0779195 1146.43030 4.3526831 2000-2012 –> 2013-2019 2.3652871 6833.63018
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5036202 5841.53725 10.9113376 1982-1999 –> 2000-2012 2.6226425 9013.27141
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.2840781 5338.04484 9.1027355 1982-1999 –> 2000-2012 2.2240530 8150.25392
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.2840781 5338.04484 9.1027355 1982-1999 –> 2000-2012 2.2240530 8150.25392
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2840781 5338.04484 9.1027355 1982-1999 –> 2000-2012 2.2240530 8150.25392
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 1.5687650 5974.83491 8.4432988 1982-1999 –> 2000-2012 2.6151504 9006.18074
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 1.5687650 5974.83491 8.4432988 1982-1999 –> 2000-2012 2.6151504 9006.18074
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.5639527 5967.03418 8.5210370 1982-1999 –> 2000-2012 2.6097355 8999.19239
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.5639527 5967.03418 8.5210370 1982-1999 –> 2000-2012 2.6097355 8999.19239
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.5687650 5974.83491 8.4432988 1982-1999 –> 2000-2012 2.6151504 9006.18074
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5639527 5967.03418 8.5210370 1982-1999 –> 2000-2012 2.6097355 8999.19239
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1281279 1023.91074 6.5436144 2000-2012 –> 2013-2019 2.6317481 6865.44798
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.7238751 732.84618 3.7436233 2000-2012 –> 2013-2019 2.0079532 6070.89102
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.7238751 732.84618 3.7436233 2000-2012 –> 2013-2019 2.0079532 6070.89102
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7238751 732.84618 3.7436233 2000-2012 –> 2013-2019 2.0079532 6070.89102
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 0.9986613 941.94492 6.6630775 2000-2012 –> 2013-2019 2.5674264 6916.77984
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 0.9986613 941.94492 6.6630775 2000-2012 –> 2013-2019 2.5674264 6916.77984
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.9914174 939.16921 7.0181098 2000-2012 –> 2013-2019 2.5553701 6906.20339
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.9914174 939.16921 7.0181098 2000-2012 –> 2013-2019 2.5553701 6906.20339
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.9986613 941.94492 6.6630775 2000-2012 –> 2013-2019 2.5674264 6916.77984
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.9914174 939.16921 7.0181098 2000-2012 –> 2013-2019 2.5553701 6906.20339
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.3701951 11247.52274 18.6148284 1982-1999 –> 2000-2012 7.9966536 18208.18531
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.3701951 11247.52274 18.6148284 1982-1999 –> 2000-2012 7.9966536 18208.18531
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3701951 11247.52274 18.6148284 1982-1999 –> 2000-2012 7.9966536 18208.18531
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.3956104 11270.03344 18.8597477 1982-1999 –> 2000-2012 8.1481834 18318.41525
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.3956104 11270.03344 18.8597477 1982-1999 –> 2000-2012 8.1481834 18318.41525
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.3749103 11251.70889 18.5325206 1982-1999 –> 2000-2012 7.9950015 18207.86217
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3798004 11256.04564 18.4996250 1982-1999 –> 2000-2012 7.9992669 18211.75609
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.3801291 11256.33695 18.5032040 1982-1999 –> 2000-2012 7.9996326 18212.07359
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.3801291 11256.33695 18.5032040 1982-1999 –> 2000-2012 7.9996326 18212.07359
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3801291 11256.33695 18.5032040 1982-1999 –> 2000-2012 7.9996326 18212.07359
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.8639435 1060.15171 3.9247030 2000-2012 –> 2013-2019 5.2341387 12307.67444
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.4967798 605.28933 2.0457321 2000-2012 –> 2013-2019 4.8923902 11875.32277
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.4967798 605.28933 2.0457321 2000-2012 –> 2013-2019 4.8923902 11875.32277
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4967798 605.28933 2.0457321 2000-2012 –> 2013-2019 4.8923902 11875.32277
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + oxygen + phosphate 0.6632053 840.79619 4.0362195 2000-2012 –> 2013-2019 5.1977363 12229.61909
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + oxygen + phosphate_star 0.6632053 840.79619 4.0362195 2000-2012 –> 2013-2019 5.1977363 12229.61909
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.6507941 827.26751 3.9028273 2000-2012 –> 2013-2019 5.1851958 12217.97970
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.6507941 827.26751 3.9028273 2000-2012 –> 2013-2019 5.1851958 12217.97970
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.6632053 840.79619 4.0362195 2000-2012 –> 2013-2019 5.1977363 12229.61909
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6507941 827.26751 3.9028273 2000-2012 –> 2013-2019 5.1851958 12217.97970
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.2438107 3677.87092 8.6924605 1982-1999 –> 2000-2012 2.0084695 5367.16333
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.1332606 3469.55601 8.5938983 1982-1999 –> 2000-2012 1.8480430 5060.63896
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.1332606 3469.55601 8.5938983 1982-1999 –> 2000-2012 1.8480430 5060.63896
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1332606 3469.55601 8.5938983 1982-1999 –> 2000-2012 1.8480430 5060.63896
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + phosphate 1.1338392 3468.69836 8.5895417 1982-1999 –> 2000-2012 1.8597697 5080.31460
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + phosphate_star 1.1338392 3468.69836 8.5895417 1982-1999 –> 2000-2012 1.8597697 5080.31460
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.0289069 3253.36077 8.0287550 1982-1999 –> 2000-2012 1.6922335 4735.66502
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.0289069 3253.36077 8.0287550 1982-1999 –> 2000-2012 1.6922335 4735.66502
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.1338392 3468.69836 8.5895417 1982-1999 –> 2000-2012 1.8597697 5080.31460
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0289069 3253.36077 8.0287550 1982-1999 –> 2000-2012 1.6922335 4735.66502
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.4619130 357.96985 2.0547931 2000-2012 –> 2013-2019 1.7057238 4035.84077
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.3756068 247.93433 1.8452256 2000-2012 –> 2013-2019 1.5088675 3717.49033
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.3756068 247.93433 1.8452256 2000-2012 –> 2013-2019 1.5088675 3717.49033
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3756068 247.93433 1.8452256 2000-2012 –> 2013-2019 1.5088675 3717.49033
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + phosphate 0.4593185 352.97327 3.0361973 2000-2012 –> 2013-2019 1.5931578 3821.67163
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + phosphate_star 0.4593185 352.97327 3.0361973 2000-2012 –> 2013-2019 1.5931578 3821.67163
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.3036156 134.73516 2.4071938 2000-2012 –> 2013-2019 1.3325226 3388.09593
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.3036156 134.73516 2.4071938 2000-2012 –> 2013-2019 1.3325226 3388.09593
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4593185 352.97327 3.0361973 2000-2012 –> 2013-2019 1.5931578 3821.67163
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3036156 134.73516 2.4071938 2000-2012 –> 2013-2019 1.3325226 3388.09593
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.0456312 4755.93189 6.5487221 1982-1999 –> 2000-2012 1.6842745 6419.83177
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.0456312 4755.93189 6.5487221 1982-1999 –> 2000-2012 1.6842745 6419.83177
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0456312 4755.93189 6.5487221 1982-1999 –> 2000-2012 1.6842745 6419.83177
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.9991957 4608.75378 6.6178803 1982-1999 –> 2000-2012 1.6824680 6387.48418
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.9991957 4608.75378 6.6178803 1982-1999 –> 2000-2012 1.6824680 6387.48418
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9991957 4608.75378 6.6178803 1982-1999 –> 2000-2012 1.6824680 6387.48418
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.8831303 4208.68546 7.3212528 1982-1999 –> 2000-2012 1.4033503 5523.92510
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.8831303 4208.68546 7.3212528 1982-1999 –> 2000-2012 1.4033503 5523.92510
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0112951 4645.75173 6.7220596 1982-1999 –> 2000-2012 1.6981345 6431.33415
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8831303 4208.68546 7.3212528 1982-1999 –> 2000-2012 1.4033503 5523.92510
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.4128857 441.48317 1.5372758 2000-2012 –> 2013-2019 1.4585168 5197.41505
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.4128857 441.48317 1.5372758 2000-2012 –> 2013-2019 1.4585168 5197.41505
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4128857 441.48317 1.5372758 2000-2012 –> 2013-2019 1.4585168 5197.41505
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.4564022 521.64615 1.8669196 2000-2012 –> 2013-2019 1.4555979 5130.39993
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.4564022 521.64615 1.8669196 2000-2012 –> 2013-2019 1.4555979 5130.39993
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4564022 521.64615 1.8669196 2000-2012 –> 2013-2019 1.4555979 5130.39993
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + oxygen + phosphate_star 0.4630860 531.27683 1.9104036 2000-2012 –> 2013-2019 1.4743811 5177.02856
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.2797729 130.12915 1.2331882 2000-2012 –> 2013-2019 1.1629032 4338.81461
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.2797729 130.12915 1.2331882 2000-2012 –> 2013-2019 1.1629032 4338.81461
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2797729 130.12915 1.2331882 2000-2012 –> 2013-2019 1.1629032 4338.81461
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.8959016 7954.47796 11.9690641 1982-1999 –> 2000-2012 1.7475653 11758.70326
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.8959016 7954.47796 11.9690641 1982-1999 –> 2000-2012 1.7475653 11758.70326
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8959016 7954.47796 11.9690641 1982-1999 –> 2000-2012 1.7475653 11758.70326
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.7236679 6659.39884 22.8046471 1982-1999 –> 2000-2012 1.5498097 10371.98357
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.7236679 6659.39884 22.8046471 1982-1999 –> 2000-2012 1.5498097 10371.98357
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7236679 6659.39884 22.8046471 1982-1999 –> 2000-2012 1.5498097 10371.98357
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9183865 8104.84010 11.8495950 1982-1999 –> 2000-2012 1.7830432 11954.66991
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.7863775 7163.51009 12.6015457 1982-1999 –> 2000-2012 1.6256286 10923.51391
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.7863775 7163.51009 12.6015457 1982-1999 –> 2000-2012 1.6256286 10923.51391
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7863775 7163.51009 12.6015457 1982-1999 –> 2000-2012 1.6256286 10923.51391
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.6111236 1629.78548 2.4002237 2000-2012 –> 2013-2019 1.5070252 9584.26344
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.6111236 1629.78548 2.4002237 2000-2012 –> 2013-2019 1.5070252 9584.26344
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6111236 1629.78548 2.4002237 2000-2012 –> 2013-2019 1.5070252 9584.26344
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.5480112 1439.68341 1.6829609 2000-2012 –> 2013-2019 1.2716791 8099.08224
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.5480112 1439.68341 1.6829609 2000-2012 –> 2013-2019 1.2716791 8099.08224
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.5480112 1439.68341 1.6829609 2000-2012 –> 2013-2019 1.2716791 8099.08224
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6326753 1690.22922 2.5384461 2000-2012 –> 2013-2019 1.5510618 9795.06932
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.5876275 1561.41018 2.0095964 2000-2012 –> 2013-2019 1.3740050 8724.92028
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.5876275 1561.41018 2.0095964 2000-2012 –> 2013-2019 1.3740050 8724.92028
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.5876275 1561.41018 2.0095964 2000-2012 –> 2013-2019 1.3740050 8724.92028
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.8662496 14627.03325 4.5498357 1982-1999 –> 2000-2012 1.7234469 20891.92838
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.8662496 14627.03325 4.5498357 1982-1999 –> 2000-2012 1.7234469 20891.92838
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8662496 14627.03325 4.5498357 1982-1999 –> 2000-2012 1.7234469 20891.92838
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8671911 14639.48021 4.5268433 1982-1999 –> 2000-2012 1.7244049 20904.47039
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8714105 14695.09389 4.6117260 1982-1999 –> 2000-2012 1.7292468 20963.67220
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.8697380 14673.08243 4.5703170 1982-1999 –> 2000-2012 1.7272286 20939.66817
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.8697380 14673.08243 4.5703170 1982-1999 –> 2000-2012 1.7272286 20939.66817
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8697380 14673.08243 4.5703170 1982-1999 –> 2000-2012 1.7272286 20939.66817
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 0.8499989 14410.04126 6.2570512 1982-1999 –> 2000-2012 1.7301985 20805.80379
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 0.8499989 14410.04126 6.2570512 1982-1999 –> 2000-2012 1.7301985 20805.80379
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 0.5606895 1607.30470 2.2306790 2000-2012 –> 2013-2019 1.4269391 16234.33795
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 0.5606895 1607.30470 2.2306790 2000-2012 –> 2013-2019 1.4269391 16234.33795
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.5606895 1607.30470 2.2306790 2000-2012 –> 2013-2019 1.4269391 16234.33795
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate 0.5217253 1470.74315 1.8633030 2000-2012 –> 2013-2019 1.4205311 16520.50612
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 0.5217253 1470.74315 1.8633030 2000-2012 –> 2013-2019 1.4205311 16520.50612
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.5217253 1470.74315 1.8633030 2000-2012 –> 2013-2019 1.4205311 16520.50612
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.5605984 1606.99660 2.2413317 2000-2012 –> 2013-2019 1.4277896 16246.47681
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 0.5607556 1607.52819 2.2624780 2000-2012 –> 2013-2019 1.4304937 16280.61061
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 0.5607556 1607.52819 2.2624780 2000-2012 –> 2013-2019 1.4304937 16280.61061
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.5607556 1607.52819 2.2624780 2000-2012 –> 2013-2019 1.4304937 16280.61061
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate 5.9171365 16737.61137 24.5984660 1982-1999 –> 2000-2012 11.2468945 23867.95792
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate_star 5.9171365 16737.61137 24.5984660 1982-1999 –> 2000-2012 11.2468945 23867.95792
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.6769089 16522.76715 22.3359678 1982-1999 –> 2000-2012 10.8818433 23600.55920
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.6769089 16522.76715 22.3359678 1982-1999 –> 2000-2012 10.8818433 23600.55920
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9171365 16737.61137 24.5984660 1982-1999 –> 2000-2012 11.2468945 23867.95792
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.6769089 16522.76715 22.3359678 1982-1999 –> 2000-2012 10.8818433 23600.55920
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.8480540 16678.16846 26.0845534 1982-1999 –> 2000-2012 10.9088253 23691.30149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.8480540 16678.16846 26.0845534 1982-1999 –> 2000-2012 10.9088253 23691.30149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.8480540 16678.16846 26.0845534 1982-1999 –> 2000-2012 10.9088253 23691.30149
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0570773 16861.90814 20.7269795 1982-1999 –> 2000-2012 11.0381157 23838.48419
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate 5.6899852 13583.56331 23.7304247 2000-2012 –> 2013-2019 11.6071217 30321.17468
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + phosphate_star 5.6899852 13583.56331 23.7304247 2000-2012 –> 2013-2019 11.6071217 30321.17468
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 5.3293238 13304.11614 23.1544130 2000-2012 –> 2013-2019 11.0062327 29826.88329
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 5.3293238 13304.11614 23.1544130 2000-2012 –> 2013-2019 11.0062327 29826.88329
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.6899852 13583.56331 23.7304247 2000-2012 –> 2013-2019 11.6071217 30321.17468
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.3293238 13304.11614 23.1544130 2000-2012 –> 2013-2019 11.0062327 29826.88329
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.5249053 13459.02356 24.6947128 2000-2012 –> 2013-2019 11.3729593 30137.19202
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.5249053 13459.02356 24.6947128 2000-2012 –> 2013-2019 11.3729593 30137.19202
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.5249053 13459.02356 24.6947128 2000-2012 –> 2013-2019 11.3729593 30137.19202
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.7109991 13601.40718 27.8143638 2000-2012 –> 2013-2019 11.7680765 30463.31532
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.5110722 15314.22584 40.6005388 1982-1999 –> 2000-2012 8.2922673 24306.39013
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.5110722 15314.22584 40.6005388 1982-1999 –> 2000-2012 8.2922673 24306.39013
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5110722 15314.22584 40.6005388 1982-1999 –> 2000-2012 8.2922673 24306.39013
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate 5.1444850 16001.39767 37.8739439 1982-1999 –> 2000-2012 9.3025479 25303.86196
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 5.1444850 16001.39767 37.8739439 1982-1999 –> 2000-2012 9.3025479 25303.86196
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6207613 15439.87458 44.1201629 1982-1999 –> 2000-2012 8.4761720 24495.52151
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7524715 15586.86539 44.0182509 1982-1999 –> 2000-2012 8.6919815 24712.98869
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 4.7786338 15615.57758 43.9855669 1982-1999 –> 2000-2012 8.7310367 24752.37206
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 4.7786338 15615.57758 43.9855669 1982-1999 –> 2000-2012 8.7310367 24752.37206
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7786338 15615.57758 43.9855669 1982-1999 –> 2000-2012 8.7310367 24752.37206
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.6943928 8033.17047 20.9215804 2000-2012 –> 2013-2019 8.2054650 23347.39632
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.6943928 8033.17047 20.9215804 2000-2012 –> 2013-2019 8.2054650 23347.39632
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6943928 8033.17047 20.9215804 2000-2012 –> 2013-2019 8.2054650 23347.39632
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7518193 8078.54979 20.8916072 2000-2012 –> 2013-2019 8.3725806 23518.42438
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7775516 8098.65902 20.7211356 2000-2012 –> 2013-2019 8.5300231 23685.52440
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.7899589 8108.30605 20.7125254 2000-2012 –> 2013-2019 8.5685927 23723.88363
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.7899589 8108.30605 20.7125254 2000-2012 –> 2013-2019 8.5685927 23723.88363
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7899589 8108.30605 20.7125254 2000-2012 –> 2013-2019 8.5685927 23723.88363
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.0665720 8315.55589 22.3051985 2000-2012 –> 2013-2019 9.1091067 24212.26780
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.0665720 8315.55589 22.3051985 2000-2012 –> 2013-2019 9.1091067 24212.26780
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.5997234 13896.42221 18.8796432 1982-1999 –> 2000-2012 7.7744021 20881.20674
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.5997234 13896.42221 18.8796432 1982-1999 –> 2000-2012 7.7744021 20881.20674
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5997234 13896.42221 18.8796432 1982-1999 –> 2000-2012 7.7744021 20881.20674
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.6539490 13951.66992 15.2426036 1982-1999 –> 2000-2012 8.0653809 21131.22930
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.6539490 13951.66992 15.2426036 1982-1999 –> 2000-2012 8.0653809 21131.22930
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6539490 13951.66992 15.2426036 1982-1999 –> 2000-2012 8.0653809 21131.22930
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.8140395 14111.09950 19.3742196 1982-1999 –> 2000-2012 8.2074636 21276.32638
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 4.7431591 14041.17605 15.8965320 1982-1999 –> 2000-2012 8.1819584 21242.37292
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 4.7431591 14041.17605 15.8965320 1982-1999 –> 2000-2012 8.1819584 21242.37292
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7431591 14041.17605 15.8965320 1982-1999 –> 2000-2012 8.1819584 21242.37292
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.2330242 6904.48361 16.5464518 2000-2012 –> 2013-2019 7.8327476 20800.90582
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.2330242 6904.48361 16.5464518 2000-2012 –> 2013-2019 7.8327476 20800.90582
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2330242 6904.48361 16.5464518 2000-2012 –> 2013-2019 7.8327476 20800.90582
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.4239406 7056.98403 14.2361648 2000-2012 –> 2013-2019 8.0778895 21008.65395
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.4239406 7056.98403 14.2361648 2000-2012 –> 2013-2019 8.0778895 21008.65395
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4239406 7056.98403 14.2361648 2000-2012 –> 2013-2019 8.0778895 21008.65395
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4057129 7042.79608 18.0529528 2000-2012 –> 2013-2019 8.2197523 21153.89558
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.0927721 6786.60086 18.0189689 2000-2012 –> 2013-2019 7.8359312 20827.77690
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.0927721 6786.60086 18.0189689 2000-2012 –> 2013-2019 7.8359312 20827.77690
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0927721 6786.60086 18.0189689 2000-2012 –> 2013-2019 7.8359312 20827.77690
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate 4.3828503 19570.09837 15.0604193 1982-1999 –> 2000-2012 7.5865761 29713.61662
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + phosphate_star 4.3828503 19570.09837 15.0604193 1982-1999 –> 2000-2012 7.5865761 29713.61662
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 4.3817574 19570.41455 15.2521912 1982-1999 –> 2000-2012 7.5408394 29660.89541
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.3817574 19570.41455 15.2521912 1982-1999 –> 2000-2012 7.5408394 29660.89541
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3828503 19570.09837 15.0604193 1982-1999 –> 2000-2012 7.5865761 29713.61662
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3817574 19570.41455 15.2521912 1982-1999 –> 2000-2012 7.5408394 29660.89541
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.2959923 19436.94559 21.1850201 1982-1999 –> 2000-2012 7.4358571 29503.49548
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.2959923 19436.94559 21.1850201 1982-1999 –> 2000-2012 7.4358571 29503.49548
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2959923 19436.94559 21.1850201 1982-1999 –> 2000-2012 7.4358571 29503.49548
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4209585 19630.55230 22.4314004 1982-1999 –> 2000-2012 7.6657778 29826.05719
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.8037880 9738.92388 12.2952264 2000-2012 –> 2013-2019 8.1855454 29309.33842
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.8037880 9738.92388 12.2952264 2000-2012 –> 2013-2019 8.1855454 29309.33842
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8037880 9738.92388 12.2952264 2000-2012 –> 2013-2019 8.1855454 29309.33842
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.8936510 9821.34889 15.8177101 2000-2012 –> 2013-2019 8.1896432 29258.29448
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.8936510 9821.34889 15.8177101 2000-2012 –> 2013-2019 8.1896432 29258.29448
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.8936510 9821.34889 15.8177101 2000-2012 –> 2013-2019 8.1896432 29258.29448
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + phosphate_star 3.9598723 9878.88056 16.8972842 2000-2012 –> 2013-2019 8.3822217 29509.55681
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.7693127 9706.78414 14.7360756 2000-2012 –> 2013-2019 8.1902712 29337.33644
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.7693127 9706.78414 14.7360756 2000-2012 –> 2013-2019 8.1902712 29337.33644
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7693127 9706.78414 14.7360756 2000-2012 –> 2013-2019 8.1902712 29337.33644
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.8811487 26608.23286 27.9807981 1982-1999 –> 2000-2012 7.8983021 38219.10062
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.1321620 25133.66821 24.8385028 1982-1999 –> 2000-2012 7.0550807 36598.69969
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.1321620 25133.66821 24.8385028 1982-1999 –> 2000-2012 7.0550807 36598.69969
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.1321620 25133.66821 24.8385028 1982-1999 –> 2000-2012 7.0550807 36598.69969
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + phosphate 4.1639450 25199.49383 23.5758399 1982-1999 –> 2000-2012 7.1407117 36746.42544
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + phosphate_star 4.1639450 25199.49383 23.5758399 1982-1999 –> 2000-2012 7.1407117 36746.42544
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.5773624 23857.43128 16.0385121 1982-1999 –> 2000-2012 6.5289804 35367.36942
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.5773624 23857.43128 16.0385121 1982-1999 –> 2000-2012 6.5289804 35367.36942
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.1639450 25199.49383 23.5758399 1982-1999 –> 2000-2012 7.1407117 36746.42544
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.5773624 23857.43128 16.0385121 1982-1999 –> 2000-2012 6.5289804 35367.36942
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 4.6921182 15300.62560 20.2340983 2000-2012 –> 2013-2019 9.5732669 41908.85846
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate 4.2265824 14761.87306 19.4557796 2000-2012 –> 2013-2019 8.3587444 39895.54128
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 4.2265824 14761.87306 19.4557796 2000-2012 –> 2013-2019 8.3587444 39895.54128
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.2265824 14761.87306 19.4557796 2000-2012 –> 2013-2019 8.3587444 39895.54128
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + phosphate 4.3231966 14876.40573 18.1291512 2000-2012 –> 2013-2019 8.4871416 40075.89955
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + phosphate_star 4.3231966 14876.40573 18.1291512 2000-2012 –> 2013-2019 8.4871416 40075.89955
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.9209008 14374.80029 15.9055025 2000-2012 –> 2013-2019 7.4982632 38232.23158
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.9209008 14374.80029 15.9055025 2000-2012 –> 2013-2019 7.4982632 38232.23158
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.3231966 14876.40573 18.1291512 2000-2012 –> 2013-2019 8.4871416 40075.89955
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9209008 14374.80029 15.9055025 2000-2012 –> 2013-2019 7.4982632 38232.23158
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.5890979 30623.12741 11.8601893 1982-1999 –> 2000-2012 6.2013888 45111.97410
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.5890979 30623.12741 11.8601893 1982-1999 –> 2000-2012 6.2013888 45111.97410
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5890979 30623.12741 11.8601893 1982-1999 –> 2000-2012 6.2013888 45111.97410
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.0844293 28903.21389 13.8988234 1982-1999 –> 2000-2012 6.0885567 44242.35773
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5333545 30445.46369 11.3858029 1982-1999 –> 2000-2012 6.1456335 44934.28268
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.5521641 30505.72452 11.5994102 1982-1999 –> 2000-2012 6.2050185 45088.31716
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate 3.1933345 29295.04781 17.3970223 1982-1999 –> 2000-2012 6.2000755 44637.48242
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.1093132 28994.41341 18.0861691 1982-1999 –> 2000-2012 5.3556466 42565.01245
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.1093132 28994.41341 18.0861691 1982-1999 –> 2000-2012 5.3556466 42565.01245
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1093132 28994.41341 18.0861691 1982-1999 –> 2000-2012 5.3556466 42565.01245
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.9674206 17169.38673 11.9858738 2000-2012 –> 2013-2019 6.0518499 46072.60062
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4387736 18178.34160 13.7873631 2000-2012 –> 2013-2019 6.9721280 48623.80529
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4626480 18225.69346 14.1337349 2000-2012 –> 2013-2019 7.0378726 48804.86347
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.4424625 18185.67954 13.9244017 2000-2012 –> 2013-2019 6.9946266 48691.40406
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.4424625 18185.67954 13.9244017 2000-2012 –> 2013-2019 6.9946266 48691.40406
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4424625 18185.67954 13.9244017 2000-2012 –> 2013-2019 6.9946266 48691.40406
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate 3.3739326 18046.06006 15.7011643 2000-2012 –> 2013-2019 6.5672671 47341.10787
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.3521746 18003.78126 14.9487549 2000-2012 –> 2013-2019 6.4614878 46998.19467
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.3521746 18003.78126 14.9487549 2000-2012 –> 2013-2019 6.4614878 46998.19467
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3521746 18003.78126 14.9487549 2000-2012 –> 2013-2019 6.4614878 46998.19467
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.0324520 33468.59862 10.6583319 1982-1999 –> 2000-2012 5.3455127 48734.33749
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.8595827 32691.93562 16.9783126 1982-1999 –> 2000-2012 5.1651164 47935.65360
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.9966623 33311.50296 10.1288040 1982-1999 –> 2000-2012 5.2982339 48543.60043
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0054406 33350.20721 10.2540003 1982-1999 –> 2000-2012 5.3340552 48661.22392
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.9972209 33313.96925 10.1530334 1982-1999 –> 2000-2012 5.3211866 48611.48443
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.9972209 33313.96925 10.1530334 1982-1999 –> 2000-2012 5.3211866 48611.48443
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9972209 33313.96925 10.1530334 1982-1999 –> 2000-2012 5.3211866 48611.48443
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.0506844 33547.91724 20.5284776 1982-1999 –> 2000-2012 5.1485462 48153.91200
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.0506844 33547.91724 20.5284776 1982-1999 –> 2000-2012 5.1485462 48153.91200
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0506844 33547.91724 20.5284776 1982-1999 –> 2000-2012 5.1485462 48153.91200
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.7574902 19012.88985 12.6480309 2000-2012 –> 2013-2019 5.7899422 52481.48847
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.7574902 19012.88985 12.6480309 2000-2012 –> 2013-2019 5.7899422 52481.48847
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7574902 19012.88985 12.6480309 2000-2012 –> 2013-2019 5.7899422 52481.48847
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + oxygen + silicate 2.7499572 18991.53044 11.4294859 2000-2012 –> 2013-2019 5.6095399 51683.46607
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7447079 18976.61186 12.1505620 2000-2012 –> 2013-2019 5.7413703 52288.11481
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7455471 18978.99873 12.2093988 2000-2012 –> 2013-2019 5.7509877 52329.20594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.7432404 18972.43604 12.0931425 2000-2012 –> 2013-2019 5.7404613 52286.40530
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.7432404 18972.43604 12.0931425 2000-2012 –> 2013-2019 5.7404613 52286.40530
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 2.9944894 19654.68141 8.4412807 2000-2012 –> 2013-2019 5.9931860 52973.16393
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7432404 18972.43604 12.0931425 2000-2012 –> 2013-2019 5.7404613 52286.40530
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.1679730 13414.27883 9.0214032 1982-1999 –> 2000-2012 4.7844113 18624.39065
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.1679730 13414.27883 9.0214032 1982-1999 –> 2000-2012 4.7844113 18624.39065
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + oxygen + silicate 3.1166679 13329.21260 9.8754952 1982-1999 –> 2000-2012 4.8010415 18651.96162
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1679730 13414.27883 9.0214032 1982-1999 –> 2000-2012 4.7844113 18624.39065
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + phosphate 3.2261932 13507.15762 8.4447285 1982-1999 –> 2000-2012 4.8439305 18717.46738
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate 3.1403948 13366.72560 9.8600442 1982-1999 –> 2000-2012 4.8314447 18698.29785
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.9949800 13121.71449 7.6320448 1982-1999 –> 2000-2012 4.5310097 18192.22406
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.9949800 13121.71449 7.6320448 1982-1999 –> 2000-2012 4.5310097 18192.22406
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.2261932 13507.15762 8.4447285 1982-1999 –> 2000-2012 4.8439305 18717.46738
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9949800 13121.71449 7.6320448 1982-1999 –> 2000-2012 4.5310097 18192.22406
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 2.4782579 7086.54298 9.5043297 2000-2012 –> 2013-2019 5.4128162 20102.07446
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 2.4782579 7086.54298 9.5043297 2000-2012 –> 2013-2019 5.4128162 20102.07446
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4782579 7086.54298 9.5043297 2000-2012 –> 2013-2019 5.4128162 20102.07446
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4923267 7103.75193 8.9701919 2000-2012 –> 2013-2019 5.4253579 20116.57147
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4967804 7109.17935 8.8090180 2000-2012 –> 2013-2019 5.4296020 20121.62661
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 2.4996524 7112.67420 8.7188128 2000-2012 –> 2013-2019 5.4324523 20125.08297
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 2.4996524 7112.67420 8.7188128 2000-2012 –> 2013-2019 5.4324523 20125.08297
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4996524 7112.67420 8.7188128 2000-2012 –> 2013-2019 5.4324523 20125.08297
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 2.8722373 7535.05058 8.9679710 2000-2012 –> 2013-2019 5.8672173 20656.76507
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 2.8722373 7535.05058 8.9679710 2000-2012 –> 2013-2019 5.8672173 20656.76507
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.1541570 16251.88061 17.8351326 1982-1999 –> 2000-2012 4.9538488 22197.25415
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate 3.2949562 16528.05985 17.9094571 1982-1999 –> 2000-2012 4.7655574 21876.48639
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 3.2949562 16528.05985 17.9094571 1982-1999 –> 2000-2012 4.7655574 21876.48639
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.2949562 16528.05985 17.9094571 1982-1999 –> 2000-2012 4.7655574 21876.48639
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate 3.3086868 16552.35818 17.7290191 1982-1999 –> 2000-2012 4.7813942 21903.01538
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + phosphate_star 3.3086868 16552.35818 17.7290191 1982-1999 –> 2000-2012 4.7813942 21903.01538
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.1574651 16258.50971 17.2112577 1982-1999 –> 2000-2012 4.5916452 21532.80599
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.1574651 16258.50971 17.2112577 1982-1999 –> 2000-2012 4.5916452 21532.80599
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.3086868 16552.35818 17.7290191 1982-1999 –> 2000-2012 4.7813942 21903.01538
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1574651 16258.50971 17.2112577 1982-1999 –> 2000-2012 4.5916452 21532.80599
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 3.3105153 9552.09060 9.3111647 2000-2012 –> 2013-2019 6.4646724 25803.97121
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 3.3105153 9552.09060 9.3111647 2000-2012 –> 2013-2019 6.4646724 25803.97121
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3105153 9552.09060 9.3111647 2000-2012 –> 2013-2019 6.4646724 25803.97121
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3444727 9589.29868 9.4041251 2000-2012 –> 2013-2019 6.5013077 25846.54623
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3596636 9605.82162 9.4523390 2000-2012 –> 2013-2019 6.5193746 25868.82796
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 3.3664542 9613.18354 9.4679657 2000-2012 –> 2013-2019 6.5273716 25878.60401
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 3.3664542 9613.18354 9.4679657 2000-2012 –> 2013-2019 6.5273716 25878.60401
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3664542 9613.18354 9.4679657 2000-2012 –> 2013-2019 6.5273716 25878.60401
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 3.4615597 9714.75830 9.8097748 2000-2012 –> 2013-2019 6.6190247 25973.26800
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 3.4615597 9714.75830 9.8097748 2000-2012 –> 2013-2019 6.6190247 25973.26800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6868896 15020.42271 8.4972367 1982-1999 –> 2000-2012 3.4770441 22230.88341
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate 1.6905568 15037.20482 8.5730976 1982-1999 –> 2000-2012 3.3434758 21960.85175
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + oxygen + phosphate_star 1.6905568 15037.20482 8.5730976 1982-1999 –> 2000-2012 3.3434758 21960.85175
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.6905568 15037.20482 8.5730976 1982-1999 –> 2000-2012 3.3434758 21960.85175
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + phosphate 1.7421644 15267.58806 10.4344233 1982-1999 –> 2000-2012 3.3977152 22194.95603
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + phosphate_star 1.7421644 15267.58806 10.4344233 1982-1999 –> 2000-2012 3.3977152 22194.95603
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6609148 14900.50096 9.0532945 1982-1999 –> 2000-2012 3.1884612 21540.49536
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.6609148 14900.50096 9.0532945 1982-1999 –> 2000-2012 3.1884612 21540.49536
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.7421644 15267.58806 10.4344233 1982-1999 –> 2000-2012 3.3977152 22194.95603
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6609148 14900.50096 9.0532945 1982-1999 –> 2000-2012 3.1884612 21540.49536
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.5684161 8263.78728 9.1231543 2000-2012 –> 2013-2019 3.2553057 23284.20999
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5684161 8263.78728 9.1231543 2000-2012 –> 2013-2019 3.2553057 23284.20999
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5684161 8263.78728 9.1231543 2000-2012 –> 2013-2019 3.2553057 23284.20999
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5711791 8271.55624 9.0746907 2000-2012 –> 2013-2019 3.2716587 23353.98826
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5719412 8273.69666 9.0469574 2000-2012 –> 2013-2019 3.2769267 23376.57902
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.5719951 8273.84817 9.0399522 2000-2012 –> 2013-2019 3.2783238 23382.81616
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.5719951 8273.84817 9.0399522 2000-2012 –> 2013-2019 3.2783238 23382.81616
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5719951 8273.84817 9.0399522 2000-2012 –> 2013-2019 3.2783238 23382.81616
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.6205132 8408.02173 9.7347045 2000-2012 –> 2013-2019 3.2814280 23308.52268
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6205132 8408.02173 9.7347045 2000-2012 –> 2013-2019 3.2814280 23308.52268
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.5548808 8206.92595 7.3193185 1982-1999 –> 2000-2012 3.0992837 12361.81446
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5548808 8206.92595 7.3193185 1982-1999 –> 2000-2012 3.0992837 12361.81446
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5548808 8206.92595 7.3193185 1982-1999 –> 2000-2012 3.0992837 12361.81446
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5610214 8224.28432 7.3829130 1982-1999 –> 2000-2012 3.1157460 12394.05355
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.5627952 8229.28564 7.4071916 1982-1999 –> 2000-2012 3.1210987 12404.19167
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.5627952 8229.28564 7.4071916 1982-1999 –> 2000-2012 3.1210987 12404.19167
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5627952 8229.28564 7.4071916 1982-1999 –> 2000-2012 3.1210987 12404.19167
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.5307379 8138.00775 6.1987387 1982-1999 –> 2000-2012 2.9717656 12138.12294
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.5307379 8138.00775 6.1987387 1982-1999 –> 2000-2012 2.9717656 12138.12294
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5307379 8138.00775 6.1987387 1982-1999 –> 2000-2012 2.9717656 12138.12294
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.2902622 4188.41727 5.8262405 2000-2012 –> 2013-2019 2.8451430 12395.34322
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.2902622 4188.41727 5.8262405 2000-2012 –> 2013-2019 2.8451430 12395.34322
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2902622 4188.41727 5.8262405 2000-2012 –> 2013-2019 2.8451430 12395.34322
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2934477 4194.56700 5.7870805 2000-2012 –> 2013-2019 2.8544691 12418.85132
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.2941037 4195.83169 5.7686036 2000-2012 –> 2013-2019 2.8568989 12425.11733
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.2941037 4195.83169 5.7686036 2000-2012 –> 2013-2019 2.8568989 12425.11733
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2941037 4195.83169 5.7686036 2000-2012 –> 2013-2019 2.8568989 12425.11733
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate 1.2940968 4195.81825 6.4737894 2000-2012 –> 2013-2019 2.8248346 12333.82600
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + oxygen + silicate + phosphate_star 1.2940968 4195.81825 6.4737894 2000-2012 –> 2013-2019 2.8248346 12333.82600
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2940968 4195.81825 6.4737894 2000-2012 –> 2013-2019 2.8248346 12333.82600
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.5457119 89059.68970 9.6225706 1982-1999 –> 2000-2012 2.8533113 132024.68257
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.5457119 89059.68970 9.6225706 1982-1999 –> 2000-2012 2.8533113 132024.68257
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5862780 90301.63353 10.1419768 1982-1999 –> 2000-2012 3.0021288 135289.49705
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5457119 89059.68970 9.6225706 1982-1999 –> 2000-2012 2.8533113 132024.68257
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5458590 89064.25855 9.6237779 1982-1999 –> 2000-2012 2.8526421 132013.35434
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5460122 89069.01719 9.6248630 1982-1999 –> 2000-2012 2.8517894 131998.50803
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.5460006 89068.65692 9.6251167 1982-1999 –> 2000-2012 2.8518187 131998.94619
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.5460006 89068.65692 9.6251167 1982-1999 –> 2000-2012 2.8518187 131998.94619
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5460006 89068.65692 9.6251167 1982-1999 –> 2000-2012 2.8518187 131998.94619
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5530253 89284.34511 9.2818343 1982-1999 –> 2000-2012 2.8718943 132465.81043
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate 1.2904044 49641.61538 9.2901765 2000-2012 –> 2013-2019 2.8361163 138701.30508
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + oxygen + silicate + phosphate_star 1.2904044 49641.61538 9.2901765 2000-2012 –> 2013-2019 2.8361163 138701.30508
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2904044 49641.61538 9.2901765 2000-2012 –> 2013-2019 2.8361163 138701.30508
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2907334 49649.17197 9.2905994 2000-2012 –> 2013-2019 2.8365924 138713.43051
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2911776 49659.37507 9.2937847 2000-2012 –> 2013-2019 2.8371898 138728.39227
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate 1.2911324 49658.33768 9.2927061 2000-2012 –> 2013-2019 2.8371331 138726.99460
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + oxygen + silicate + phosphate_star 1.2911324 49658.33768 9.2927061 2000-2012 –> 2013-2019 2.8371331 138726.99460
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2911324 49658.33768 9.2927061 2000-2012 –> 2013-2019 2.8371331 138726.99460
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3186734 50282.10445 10.1511497 2000-2012 –> 2013-2019 2.8716987 139566.44956
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3443327 50855.46644 9.7413986 2000-2012 –> 2013-2019 2.9266322 141038.51664

5.3 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)

5.4 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)

5.5 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 2 - 5).

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")

Version Author Date
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")

Version Author Date
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)

Version Author Date
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)

Version Author Date
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)

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou oxygen phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 10 7 6 5 5 4 10
(26,26.5] 7 5 6 7 8 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 10 6 7 6 4 10 4
(27,27.25] 7 4 7 6 9 10 6
(27.25,27.5] 7 5 6 6 10 9 6
(27.5,27.75] 6 5 6 6 10 9 7
(27.75,27.85] 7 6 7 6 10 7 7
(27.85,27.95] 10 7 6 7 4 4 9
(27.95,28.05] 7 6 6 6 10 8 7
(28.05,28.1] 10 7 6 7 4 4 9
(28.1,28.15] 10 6 7 7 6 6 7
(28.15,28.2] 10 6 7 6 7 7 7
(28.2, Inf] 7 6 6 6 8 10 7
total 118.00 82.00 90.00 87.00 99.00 108.00 97.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 6 5 6 7 10 9
(26,26.5] 8 5 6 7 7 10 7
(26.5,26.75] 10 6 7 6 4 10 4
(26.75,27] 7 4 7 6 9 10 6
(27,27.25] 7 4 6 6 10 10 5
(27.25,27.5] 6 4 6 6 10 10 6
(27.5,27.75] 6 4 6 6 10 10 6
(27.75,27.85] 7 6 7 6 10 7 7
(27.85,27.95] 10 6 7 7 4 4 9
(27.95,28.05] 10 7 6 7 4 4 9
(28.05,28.1] 10 7 6 7 4 4 9
(28.1,28.15] 10 7 6 7 6 6 7
(28.15,28.2] 10 6 7 6 7 7 7
(28.2, Inf] 7 6 7 6 10 7 7
total 115.00 78.00 89.00 89.00 102.00 109.00 98.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 10 6 7 6 10 4 4
(26,26.5] 7 6 6 6 10 8 7
(26.5,26.75] 10 6 7 6 7 7 7
(26.75,27] 10 6 7 7 9 4 4
(27,27.25] 10 7 6 7 4 4 9
(27.25,27.5] 9 7 5 5 6 10 7
(27.5,27.75] 7 6 5 6 7 10 9
(27.75,27.85] 10 7 6 5 4 5 10
(27.85,27.95] 10 7 6 7 4 4 9
(27.95,28.05] 10 6 7 7 4 4 9
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 4 6 6 10 10 6
total 106.00 74.00 75.00 74.00 82.00 80.00 88.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 10 6 7 6 10 4 4
(26,26.5] 7 6 6 6 8 10 7
(26.5,26.75] 10 6 7 6 7 7 7
(26.75,27] 10 7 6 7 6 6 7
(27,27.25] 10 7 6 7 4 4 9
(27.25,27.5] 7 6 5 5 6 10 10
(27.5,27.75] 6 5 6 5 10 10 7
(27.75,27.85] 7 6 6 6 8 10 7
(27.85,27.95] 7 6 6 6 8 10 7
(27.95,28.05] 7 5 7 6 8 10 7
(28.05,28.1] 7 6 7 6 7 10 7
(28.1, Inf] 6 4 6 7 9 10 7
total 94.00 70.00 75.00 73.00 91.00 101.00 86.00

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)

Version Author Date
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)

Version Author Date
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 

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_0.7.2      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_3.3.2   
[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_1.4-1         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_2.1.0               
[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_0.4.9              readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.0.2           jsonlite_1.7.1          
[40] zip_2.1.1                car_3.0-10               magrittr_1.5            
[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_0.10.1.2.0
[67] data.table_1.13.2        modelr_0.1.8             vctrs_0.3.5             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.18               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.7.0      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_0.1