Last updated: 2021-01-29

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: e943c60

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 e943c60. See the Past versions tab to see a history of the changes made to the R Markdown and HTML files.

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


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

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

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

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

File Version Author Date Message
html 541d4dd Donghe-Zhu 2021-01-29 Build site.
html 6a75576 Donghe-Zhu 2021-01-28 Build site.
html 16fba40 Donghe-Zhu 2021-01-28 Build site.
Rmd aecf0c6 Donghe-Zhu 2021-01-28 diagnostic ploting
Rmd a02684e Donghe-Zhu 2021-01-28 error
Rmd 4584be9 Donghe-Zhu 2021-01-28 latest
html 12bc567 Donghe-Zhu 2021-01-27 Build site.
html ceed31b Donghe-Zhu 2021-01-27 Build site.
html 342402d Donghe-Zhu 2021-01-27 Build site.
html 5bad5c2 Donghe-Zhu 2021-01-27 Build site.
Rmd c2c9529 Donghe-Zhu 2021-01-27 random subsetting based on lat
html 61efb56 Donghe-Zhu 2021-01-25 Build site.
html 48f638e Donghe-Zhu 2021-01-25 Build site.
html c1cec47 Donghe-Zhu 2021-01-25 Build site.
html 05ffb0c Donghe-Zhu 2021-01-25 Build site.
html 8b97165 Donghe-Zhu 2021-01-25 Build site.
html c569946 Donghe-Zhu 2021-01-24 Build site.
html a2f0d56 Donghe-Zhu 2021-01-23 Build site.
html 28509fc Donghe-Zhu 2021-01-23 Build site.
html 4c28e4a Donghe-Zhu 2021-01-22 Build site.
html 24cc264 jens-daniel-mueller 2021-01-22 cleaned /docs before creating copies
html 88eb28f Donghe-Zhu 2021-01-21 Build site.
html 2679490 Donghe-Zhu 2021-01-21 Build site.
html 7891955 Donghe-Zhu 2021-01-21 Build site.
html d4cf1cb Donghe-Zhu 2021-01-21 Build site.
Rmd 167eeec Donghe-Zhu 2021-01-21 surface DIC calculation with atmospheric equilibrium option
html 1f3e5b6 jens-daniel-mueller 2021-01-20 Build site.
html 0e7bdf1 jens-daniel-mueller 2021-01-15 cleaning template repository
html 73cbef3 jens-daniel-mueller 2021-01-15 Build site.
html 4571843 jens-daniel-mueller 2021-01-14 revision and html deleted for template copying
html 23151cd jens-daniel-mueller 2021-01-14 Build site.
html b3564aa jens-daniel-mueller 2021-01-14 Build site.
html 8d032c3 jens-daniel-mueller 2021-01-14 Build site.
html 022871c Donghe-Zhu 2021-01-13 Build site.
Rmd d44f36f Donghe-Zhu 2021-01-13 reorder analysis final
html 17dee1d jens-daniel-mueller 2021-01-13 Build site.
Rmd 9e04fd7 jens-daniel-mueller 2021-01-13 local rebuild after revision
html a076226 Donghe-Zhu 2021-01-11 Build site.
Rmd 52eff18 Donghe-Zhu 2021-01-09 Implemet model_run and subsetting
html 7cdea0c jens-daniel-mueller 2021-01-06 Build site.
Rmd b5934dd jens-daniel-mueller 2021-01-06 local rebuild after revision
html fa85b93 jens-daniel-mueller 2021-01-06 Build site.
html e5cb81a Donghe-Zhu 2021-01-05 Build site.
Rmd 608cc45 Donghe-Zhu 2021-01-05 modification of analysis
html a499f10 Donghe-Zhu 2021-01-05 Build site.
Rmd 715bdb4 Donghe-Zhu 2021-01-02 model modification
html fb8a752 Donghe-Zhu 2020-12-23 Build site.
Rmd 82e3c9c Donghe-Zhu 2020-12-23 first build after creating model template
html 8fae0b2 Donghe-Zhu 2020-12-21 Build site.
Rmd 00a1322 Donghe-Zhu 2020-12-21 first build after creating model template
Rmd d73ae35 Donghe-Zhu 2020-12-21 first version with lm error
html c8b76b3 jens-daniel-mueller 2020-12-19 Build site.
Rmd b5fedce jens-daniel-mueller 2020-12-19 first build after creating model template
Rmd 8e8abf5 Jens Müller 2020-12-18 Initial commit

1 Required data

Required are:

  • cleaned and prepared GLODAP-based synthetic model subsetting file
GLODAP <-
  read_csv(paste(path_version_data,
                 "GLODAPv2.2020_MLR_fitting_ready.csv",
                 sep = ""))

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

  • sal, temp, aou, silicate, phosphate, phosphate_star
# the following code is a workaround to find all predictor combinations
# using the olsrr package and fit all models for one era, slab, and basin

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove predictor combinations with nitrate and phosphate
lm_all <- lm_all %>%
  mutate(lm_coeff_filter = str_remove(lm_coeff, "phosphate_star")) %>%
  filter(!(
    str_detect(lm_coeff_filter, "nitrate") &
      str_detect(lm_coeff_filter, "phosphate")
  )) %>%
  select(-lm_coeff_filter)

# 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:

  • 56

4 Fit all models

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

  • cstar_tref

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

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    # i_basin <- unique(GLODAP$basin)[1]
    # i_era   <- unique(GLODAP$era)[1]
    print(i_basin)
    print(i_era)
    
    GLODAP_basin_era <- GLODAP %>%
      filter(basin == i_basin, era == i_era)
    
    for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
      # i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
      print(i_gamma_slab)
      
      GLODAP_basin_era_slab <- GLODAP_basin_era %>%
        filter(gamma_slab == i_gamma_slab)
      
      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,
   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 + aou + phosphate + phosphate_star 1.0669064 510.5238 4.506279 1982-1999 –> 2000-2012 2.398590 1286.5351
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.0650698 511.9449 4.426016 1982-1999 –> 2000-2012 2.396751 1289.9554
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.0709739 511.8023 4.694811 1982-1999 –> 2000-2012 2.404013 1288.2696
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0646493 511.8122 4.234683 1982-1999 –> 2000-2012 2.396240 1289.7923
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.0721408 512.1682 4.734438 1982-1999 –> 2000-2012 2.405512 1288.7470
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 1.1639203 539.7661 4.829575 1982-1999 –> 2000-2012 2.523149 1324.9495
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.0694684 513.3297 4.624413 1982-1999 –> 2000-2012 2.402455 1291.7791
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.0708017 513.7483 4.671370 1982-1999 –> 2000-2012 2.404095 1292.3010
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.0734858 512.5895 4.775202 1982-1999 –> 2000-2012 2.407714 1289.4562
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.0721782 514.1800 4.711590 1982-1999 –> 2000-2012 2.406296 1293.0094
Atlantic (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2474664 267.8483 3.699851 2000-2012 –> 2013-2019 2.314373 778.3721
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1819575 261.4332 3.306338 2000-2012 –> 2013-2019 2.247027 773.3781
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 1.2518691 268.3979 3.819602 2000-2012 –> 2013-2019 2.322843 780.2002
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.2437146 269.3784 3.455189 2000-2012 –> 2013-2019 2.308364 781.1906
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 1.2527613 268.5090 3.836054 2000-2012 –> 2013-2019 2.324902 780.6773
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 1.3246093 277.2087 3.484243 2000-2012 –> 2013-2019 2.488530 816.9748
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1901456 262.5102 3.453009 2000-2012 –> 2013-2019 2.259614 775.8399
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1931661 262.9056 3.497480 2000-2012 –> 2013-2019 2.263968 776.6539
Atlantic (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.2543425 268.7058 3.866039 2000-2012 –> 2013-2019 2.327828 781.2953
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1950624 263.1534 3.519214 2000-2012 –> 2013-2019 2.267241 777.3333
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.5385329 6108.9825 13.458633 1982-1999 –> 2000-2012 6.981740 14959.9600
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.9904467 6380.0563 17.799592 1982-1999 –> 2000-2012 7.982603 15721.3388
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6004284 6148.3804 14.160333 1982-1999 –> 2000-2012 7.139206 15090.4719
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6081889 6153.2723 14.267590 1982-1999 –> 2000-2012 7.158811 15106.4841
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate 3.9996578 6383.2947 18.489476 1982-1999 –> 2000-2012 8.116378 15824.8311
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 3.9798872 6374.0362 19.108434 1982-1999 –> 2000-2012 8.090882 15812.9412
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6096349 6154.1826 14.304181 1982-1999 –> 2000-2012 7.164981 15111.8195
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6702662 6190.0286 16.261179 1982-1999 –> 2000-2012 7.510809 15402.4587
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3008627 6552.2574 13.028734 1982-1999 –> 2000-2012 8.544640 16098.9546
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.4995827 6652.8815 12.487038 1982-1999 –> 2000-2012 8.871341 16296.4592
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6126461 3355.3765 10.821609 2000-2012 –> 2013-2019 7.151179 9464.3590
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate 3.9679578 3469.3270 11.496873 2000-2012 –> 2013-2019 7.958405 9849.3833
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6537066 3369.3453 10.309180 2000-2012 –> 2013-2019 7.254135 9517.7258
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.6588360 3371.0793 10.317504 2000-2012 –> 2013-2019 7.267025 9524.3516
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate 4.0173849 3482.6281 12.004710 2000-2012 –> 2013-2019 8.017043 9865.9229
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate 3.8397846 3428.7425 11.206273 2000-2012 –> 2013-2019 7.819672 9802.7788
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.6584854 3370.9609 10.318851 2000-2012 –> 2013-2019 7.268120 9525.1435
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6645903 3371.0217 10.287116 2000-2012 –> 2013-2019 7.334856 9561.0503
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2346879 3551.7387 10.994932 2000-2012 –> 2013-2019 8.535551 10103.9962
Atlantic (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.4762926 3618.3188 11.952191 2000-2012 –> 2013-2019 8.975875 10271.2003
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3583807 8218.8401 10.684921 1982-1999 –> 2000-2012 6.523621 19086.3096
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.3451130 8206.4897 9.984430 1982-1999 –> 2000-2012 6.560743 19140.6428
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2815350 8148.6194 10.449681 1982-1999 –> 2000-2012 6.407345 18965.1643
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.2947613 8161.1695 10.455973 1982-1999 –> 2000-2012 6.444508 19009.9221
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3103382 8175.8853 10.510653 1982-1999 –> 2000-2012 6.482533 19054.6202
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3145143 8179.8188 10.520585 1982-1999 –> 2000-2012 6.493642 19067.7721
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.4179295 8273.6773 10.821627 1982-1999 –> 2000-2012 6.646908 19225.3197
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.2593604 8127.4649 9.985777 1982-1999 –> 2000-2012 6.309564 18840.6336
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.4492526 8302.1399 10.919545 1982-1999 –> 2000-2012 6.711621 19297.2172
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.4569950 8309.1353 10.935851 1982-1999 –> 2000-2012 6.729424 19317.2124
Atlantic (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.5190393 3947.3760 11.109784 2000-2012 –> 2013-2019 6.877420 12166.2161
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 3.4519208 3919.0679 10.234892 2000-2012 –> 2013-2019 6.797034 12125.5577
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.4178621 3906.4920 10.546763 2000-2012 –> 2013-2019 6.699397 12055.1115
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.4268245 3910.3417 10.584934 2000-2012 –> 2013-2019 6.721586 12071.5112
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.4412673 3916.5242 10.744217 2000-2012 –> 2013-2019 6.751606 12092.4095
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.4448277 3918.0443 10.794175 2000-2012 –> 2013-2019 6.759342 12097.8631
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 3.5774973 3971.5950 11.143465 2000-2012 –> 2013-2019 6.995427 12245.2722
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.4302888 3911.8270 10.955596 2000-2012 –> 2013-2019 6.689649 12039.2918
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 3.6090104 3984.4871 11.292419 2000-2012 –> 2013-2019 7.058263 12286.6269
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 3.6158596 3987.2742 11.314802 2000-2012 –> 2013-2019 7.072855 12296.4095
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.1562430 11692.2135 15.705946 1982-1999 –> 2000-2012 3.857682 25361.0060
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.2365224 11887.4160 19.548166 1982-1999 –> 2000-2012 4.254562 26751.1156
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0584488 11446.3592 15.019464 1982-1999 –> 2000-2012 3.743110 25047.7630
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.1203301 11604.5250 15.079101 1982-1999 –> 2000-2012 3.878081 25503.3052
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.1841990 11763.0024 21.487345 1982-1999 –> 2000-2012 3.983789 25826.4977
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2083048 11821.6141 24.431305 1982-1999 –> 2000-2012 4.022898 25943.2416
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.2592103 11941.3136 16.122729 1982-1999 –> 2000-2012 4.074447 26063.4253
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1484086 11674.7761 22.760365 1982-1999 –> 2000-2012 3.715640 24770.2584
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.3267471 12098.6080 16.537660 1982-1999 –> 2000-2012 4.193895 26418.1489
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.3529180 12158.3363 19.498731 1982-1999 –> 2000-2012 4.239116 26548.9549
Atlantic (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6328416 6752.8943 26.902311 2000-2012 –> 2013-2019 4.789085 18445.1078
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.5995484 6716.9561 24.264161 2000-2012 –> 2013-2019 4.836071 18604.3721
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5343371 6647.2107 25.445252 2000-2012 –> 2013-2019 4.592786 18093.5699
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.5714581 6688.2744 25.212987 2000-2012 –> 2013-2019 4.691788 18292.7994
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6068856 6726.9156 25.377739 2000-2012 –> 2013-2019 4.791085 18489.9181
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6182643 6739.2152 25.400147 2000-2012 –> 2013-2019 4.826569 18560.8293
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate 2.7601533 6886.2508 27.686717 2000-2012 –> 2013-2019 5.019364 18827.5644
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.3244729 6403.1075 22.917547 2000-2012 –> 2013-2019 4.472881 18077.8835
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate_star 2.8080839 6934.8691 27.945041 2000-2012 –> 2013-2019 5.134831 19033.4771
Atlantic (26.75,27] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.8238520 6950.6822 27.989507 2000-2012 –> 2013-2019 5.176770 19109.0185
Atlantic (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5229072 10866.3425 19.946542 1982-1999 –> 2000-2012 4.733640 24426.2398
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 1.9771119 9737.6654 9.743648 1982-1999 –> 2000-2012 3.795771 22102.0078
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.9362557 9642.9858 10.006513 1982-1999 –> 2000-2012 3.591390 21432.3384
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.2579994 10352.7242 10.229612 1982-1999 –> 2000-2012 4.647416 24388.6087
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.9433711 9659.9692 9.780245 1982-1999 –> 2000-2012 3.578383 21374.4124
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.9684366 9719.3048 9.339418 1982-1999 –> 2000-2012 3.625123 21514.3993
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.9753004 9735.4214 9.239424 1982-1999 –> 2000-2012 3.643532 21573.0454
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 2.6028293 11010.7390 12.226447 1982-1999 –> 2000-2012 4.759625 24419.3695
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5160483 10855.7380 26.496913 1982-1999 –> 2000-2012 4.667737 24251.8517
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6439654 11083.3411 12.295336 1982-1999 –> 2000-2012 4.831727 24579.2701
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 2.3351662 5847.3136 13.611619 2000-2012 –> 2013-2019 4.312278 15584.9790
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.3340849 5848.1214 13.744520 2000-2012 –> 2013-2019 4.270340 15491.1072
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate_star 2.4058006 5924.0180 14.914910 2000-2012 –> 2013-2019 4.663800 16276.7422
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.4284040 5948.0888 15.043234 2000-2012 –> 2013-2019 4.754368 16438.1177
Atlantic (27,27.25] cstar_tref ~ sal + silicate + phosphate_star 2.7289547 6246.4344 13.698458 2000-2012 –> 2013-2019 5.586236 17687.0205
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3301867 5843.8189 13.907665 2000-2012 –> 2013-2019 4.273558 15503.7881
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.3540156 5870.0075 13.884121 2000-2012 –> 2013-2019 4.322452 15589.3122
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.3578885 5874.2388 13.876581 2000-2012 –> 2013-2019 4.333189 15609.6602
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 2.7208616 6240.7895 13.230134 2000-2012 –> 2013-2019 5.488106 17535.1307
Atlantic (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8723648 6382.2670 14.362081 2000-2012 –> 2013-2019 5.388413 17238.0050
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.2222258 12941.5204 19.954756 1982-1999 –> 2000-2012 5.839104 30039.0078
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 2.8584420 12343.2610 22.990288 1982-1999 –> 2000-2012 5.611871 29805.7533
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7833837 12212.3738 21.243153 1982-1999 –> 2000-2012 5.176119 28669.2869
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 3.2597086 12999.2782 20.754816 1982-1999 –> 2000-2012 5.961012 30324.6193
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.1547217 12837.7871 24.173728 1982-1999 –> 2000-2012 5.694560 29722.8412
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.8023109 12246.2184 21.814276 1982-1999 –> 2000-2012 5.246387 28855.4783
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8696680 12364.8356 22.709098 1982-1999 –> 2000-2012 5.402105 29228.9501
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.3708296 13166.6825 21.640713 1982-1999 –> 2000-2012 6.211738 30853.6182
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8715160 12368.0505 22.697774 1982-1999 –> 2000-2012 5.412070 29255.1283
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 2.8875250 12393.8153 22.136811 1982-1999 –> 2000-2012 5.680969 29959.8451
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate 4.1774829 7775.4129 24.694295 2000-2012 –> 2013-2019 7.491931 20855.8584
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.1023489 7727.9382 22.640986 2000-2012 –> 2013-2019 7.324575 20669.4587
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7428537 7477.9330 25.719311 2000-2012 –> 2013-2019 6.601296 19821.1941
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6849392 7437.4229 23.980995 2000-2012 –> 2013-2019 6.468323 19649.7968
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 4.1419372 7754.1184 23.674294 2000-2012 –> 2013-2019 7.401646 20753.3966
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.0182270 7673.4584 26.251071 2000-2012 –> 2013-2019 7.172949 20511.2455
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7104579 7456.2358 24.789558 2000-2012 –> 2013-2019 6.512769 19702.4542
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7931930 7516.3518 25.907681 2000-2012 –> 2013-2019 6.662861 19881.1874
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7893620 7513.5973 25.813866 2000-2012 –> 2013-2019 6.660878 19881.6478
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 3.8267602 7538.3690 26.794841 2000-2012 –> 2013-2019 6.714285 19932.1843
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 2.6619219 18044.8615 19.625058 1982-1999 –> 2000-2012 5.138131 41690.2927
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6166199 17917.7807 18.949567 1982-1999 –> 2000-2012 4.863364 40576.9908
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 2.8874703 18656.4814 17.295800 1982-1999 –> 2000-2012 5.226199 41721.4481
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.8832635 18647.5174 18.355780 1982-1999 –> 2000-2012 5.203645 41634.4475
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 2.8932810 18671.5992 19.992092 1982-1999 –> 2000-2012 5.217135 41671.7274
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6041209 17881.7733 19.658847 1982-1999 –> 2000-2012 4.799732 40307.0382
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.5947071 17854.5397 22.096079 1982-1999 –> 2000-2012 4.760416 40140.4569
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 2.8899670 18662.9809 19.678120 1982-1999 –> 2000-2012 5.213143 41660.1403
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.5941074 17852.8013 21.972752 1982-1999 –> 2000-2012 4.759877 40139.0013
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6488317 18007.7901 24.114223 1982-1999 –> 2000-2012 4.820980 40321.8752
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4049889 10599.2975 13.234065 2000-2012 –> 2013-2019 6.296537 29266.3924
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.0011240 10093.7734 14.392043 2000-2012 –> 2013-2019 5.663046 28138.6349
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0010230 10095.6386 14.411490 2000-2012 –> 2013-2019 5.617643 28013.4193
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3929098 10587.0683 13.656392 2000-2012 –> 2013-2019 6.276173 29234.5857
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate_star 3.3933170 10585.5487 13.888126 2000-2012 –> 2013-2019 6.286598 29257.1479
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0000950 10094.4003 14.405089 2000-2012 –> 2013-2019 5.604216 27976.1735
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9648162 10047.0373 15.888668 2000-2012 –> 2013-2019 5.559523 27901.5769
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.3929378 10585.1013 13.596469 2000-2012 –> 2013-2019 6.282905 29248.0822
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.9665985 10049.4436 15.764128 2000-2012 –> 2013-2019 5.560706 27902.2449
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1365845 10270.5403 18.803814 2000-2012 –> 2013-2019 5.785416 28278.3305
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.0098007 5511.8987 12.302204 1982-1999 –> 2000-2012 3.622261 11881.6368
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.7700096 5181.8213 12.243782 1982-1999 –> 2000-2012 3.550039 11882.9673
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5878549 4901.6758 12.822888 1982-1999 –> 2000-2012 3.116338 11094.1297
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate 2.1041418 5631.0745 12.284382 1982-1999 –> 2000-2012 3.786454 12142.9635
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.7052880 5087.0433 11.194363 1982-1999 –> 2000-2012 3.219305 11247.6217
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate_star 2.2231633 5774.0252 12.468928 1982-1999 –> 2000-2012 4.000280 12469.6811
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6156555 4946.7689 12.930476 1982-1999 –> 2000-2012 3.174641 11205.4577
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6610165 5018.7049 13.140037 1982-1999 –> 2000-2012 3.267324 11377.6273
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6651339 5025.1368 13.155852 1982-1999 –> 2000-2012 3.275022 11391.5224
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7839394 5202.1873 13.100644 1982-1999 –> 2000-2012 3.492535 11766.0412
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.3943710 3019.1815 11.376380 2000-2012 –> 2013-2019 4.404172 8531.0802
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate 1.8581579 2686.5437 11.776253 2000-2012 –> 2013-2019 3.628167 7868.3650
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7304708 2595.1396 12.144692 2000-2012 –> 2013-2019 3.318326 7496.8155
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 2.3331126 2985.1780 11.520053 2000-2012 –> 2013-2019 4.665490 8883.7953
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate 2.5005533 3076.1111 11.287467 2000-2012 –> 2013-2019 4.604695 8707.1856
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.8588432 2689.0275 10.382841 2000-2012 –> 2013-2019 3.564131 7776.0708
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7606499 2617.8234 12.187032 2000-2012 –> 2013-2019 3.376305 7564.5923
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8117847 2655.3852 12.335194 2000-2012 –> 2013-2019 3.472801 7674.0901
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8147710 2657.5459 12.344435 2000-2012 –> 2013-2019 3.479905 7682.6828
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8598127 2687.7116 12.393512 2000-2012 –> 2013-2019 3.643752 7889.8989
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.3583056 6522.8087 38.951768 1982-1999 –> 2000-2012 6.520299 15322.6912
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.3547203 6522.1640 37.787209 1982-1999 –> 2000-2012 6.512772 15319.7804
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.3582501 6524.7678 39.373477 1982-1999 –> 2000-2012 6.429705 15227.2952
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3547202 6524.1639 37.769942 1982-1999 –> 2000-2012 6.419813 15221.5995
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.5749853 6679.6194 50.360961 1982-1999 –> 2000-2012 6.662112 15399.5524
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.9405148 6197.8675 22.293581 1982-1999 –> 2000-2012 6.005591 14895.2849
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5723212 6679.7736 48.930358 1982-1999 –> 2000-2012 6.644659 15385.2836
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.1164452 6339.7437 23.637863 1982-1999 –> 2000-2012 6.278048 15141.2042
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 3.5724467 6677.8606 48.371030 1982-1999 –> 2000-2012 6.749178 15495.6468
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.1015239 6329.8603 23.435647 1982-1999 –> 2000-2012 6.254545 15124.0252
Atlantic (27.85,27.95] cstar_tref ~ aou + phosphate + phosphate_star 3.6881750 3867.2835 23.611024 2000-2012 –> 2013-2019 7.046481 10390.0923
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.6760448 3864.6187 23.747093 2000-2012 –> 2013-2019 7.030765 10386.7827
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.4493114 3774.4722 25.312421 2000-2012 –> 2013-2019 6.807562 10299.2401
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3388618 3730.3890 25.099121 2000-2012 –> 2013-2019 6.693582 10254.5529
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate 3.5052511 3797.2522 25.574745 2000-2012 –> 2013-2019 7.080236 10476.8716
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.3332865 3728.0226 24.407223 2000-2012 –> 2013-2019 6.273801 9925.8900
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3614399 3739.9320 25.280442 2000-2012 –> 2013-2019 6.933761 10419.7056
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3848830 3749.7732 25.267436 2000-2012 –> 2013-2019 7.073475 10508.8512
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.6198780 3842.8164 23.176587 2000-2012 –> 2013-2019 6.736323 10182.5601
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.6162841 3843.4099 23.009079 2000-2012 –> 2013-2019 6.717808 10173.2702
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.9005315 10426.0723 26.690347 1982-1999 –> 2000-2012 8.047183 25240.9310
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.8909023 10418.8133 26.501166 1982-1999 –> 2000-2012 8.029265 25225.2468
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 3.8938747 10419.6738 26.237305 1982-1999 –> 2000-2012 8.035018 25227.6067
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.8916445 10419.5277 25.815150 1982-1999 –> 2000-2012 8.027554 25222.8724
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 3.8919974 10417.8674 25.981905 1982-1999 –> 2000-2012 8.029895 25221.7162
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.8776148 10405.9987 25.952066 1982-1999 –> 2000-2012 8.006346 25200.2924
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.8714512 10400.0396 25.669358 1982-1999 –> 2000-2012 7.993347 25185.7007
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.8926869 10418.5310 26.101297 1982-1999 –> 2000-2012 8.031747 25223.8434
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.8739353 10402.4424 25.781312 1982-1999 –> 2000-2012 7.998219 25191.1218
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.9160697 10442.9654 25.120036 1982-1999 –> 2000-2012 8.125474 25338.0782
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.8005114 5432.0180 25.380343 2000-2012 –> 2013-2019 7.701043 15858.0903
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.7829465 5424.9013 25.453790 2000-2012 –> 2013-2019 7.673849 15843.7146
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate 3.8042578 5433.9570 24.996323 2000-2012 –> 2013-2019 7.698132 15853.6308
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.7996986 5433.5970 25.677376 2000-2012 –> 2013-2019 7.691343 15853.1247
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate_star 3.8086257 5436.2153 24.729450 2000-2012 –> 2013-2019 7.700623 15854.0827
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.7794327 5423.0725 25.038717 2000-2012 –> 2013-2019 7.657047 15829.0712
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7782083 5422.4349 24.786112 2000-2012 –> 2013-2019 7.649660 15822.4744
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + phosphate + phosphate_star 3.8060168 5434.8667 24.881092 2000-2012 –> 2013-2019 7.698704 15853.3978
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7787244 5422.7037 24.911551 2000-2012 –> 2013-2019 7.652660 15825.1461
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.8836479 5476.6040 25.642875 2000-2012 –> 2013-2019 7.799717 15919.5693
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.1424109 3895.3026 7.780828 1982-1999 –> 2000-2012 2.174770 8662.9775
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.1400058 3892.0296 7.508830 1982-1999 –> 2000-2012 2.171722 8659.6599
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.1516323 3915.4175 7.717827 1982-1999 –> 2000-2012 2.188574 8697.6100
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0888369 3777.1296 7.899696 1982-1999 –> 2000-2012 2.106724 8500.5259
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 1.1629032 3939.7851 7.727641 1982-1999 –> 2000-2012 2.207827 8747.1147
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.1473329 3908.0592 7.366582 1982-1999 –> 2000-2012 2.184172 8691.9281
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.1559549 3926.7909 7.275281 1982-1999 –> 2000-2012 2.200744 8735.6975
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.1566552 3926.3062 7.730772 1982-1999 –> 2000-2012 2.197810 8721.7900
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.1514385 3916.9963 7.337089 1982-1999 –> 2000-2012 2.192593 8714.4792
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.0870369 3772.9900 12.684409 1982-1999 –> 2000-2012 2.111238 8516.6574
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.2401088 2276.9148 8.299177 2000-2012 –> 2013-2019 2.382520 6172.2174
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2235483 2260.2814 7.594756 2000-2012 –> 2013-2019 2.363554 6152.3110
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.2523837 2290.5663 8.224435 2000-2012 –> 2013-2019 2.404016 6205.9837
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.1579193 2183.8706 8.562264 2000-2012 –> 2013-2019 2.246756 5961.0002
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate_star 1.2646618 2304.0882 8.233229 2000-2012 –> 2013-2019 2.427565 6243.8732
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2310580 2268.7621 7.450137 2000-2012 –> 2013-2019 2.378391 6176.8213
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2386232 2277.2534 7.367325 2000-2012 –> 2013-2019 2.394578 6204.0443
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + phosphate + phosphate_star 1.2569957 2295.6610 8.240693 2000-2012 –> 2013-2019 2.413651 6221.9671
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2343138 2272.4229 7.428694 2000-2012 –> 2013-2019 2.385752 6189.4192
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2275125 2264.7647 13.894436 2000-2012 –> 2013-2019 2.314549 6037.7546
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8096172 3388.8543 5.467126 1982-1999 –> 2000-2012 1.532690 7532.2260
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7943969 3337.7911 5.398179 1982-1999 –> 2000-2012 1.467100 7210.6600
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.8093116 3387.7988 5.388705 1982-1999 –> 2000-2012 1.530312 7520.3390
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8093116 3389.7988 5.389161 1982-1999 –> 2000-2012 1.527615 7510.1929
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8097628 3389.3574 5.294503 1982-1999 –> 2000-2012 1.528863 7511.9370
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7972728 3347.8948 5.317335 1982-1999 –> 2000-2012 1.474077 7243.7012
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8011440 3361.4382 5.239412 1982-1999 –> 2000-2012 1.484162 7291.7327
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8094433 3388.2539 5.337970 1982-1999 –> 2000-2012 1.529141 7513.9673
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7991765 3354.5633 5.281963 1982-1999 –> 2000-2012 1.479357 7269.1497
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8834679 3634.9269 10.717659 1982-1999 –> 2000-2012 1.539137 7410.9989
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8792018 1849.2415 7.100581 2000-2012 –> 2013-2019 1.688819 5238.0959
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8779548 1849.2204 7.088283 2000-2012 –> 2013-2019 1.672352 5187.0115
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate 0.8849636 1858.5432 6.958491 2000-2012 –> 2013-2019 1.694275 5246.3420
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.8569972 1814.8160 8.112716 2000-2012 –> 2013-2019 1.666309 5204.6147
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate_star 0.8918397 1869.5648 6.850193 2000-2012 –> 2013-2019 1.701602 5258.9221
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8845179 1859.8258 6.949110 2000-2012 –> 2013-2019 1.681791 5207.7206
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8918126 1871.5215 6.848206 2000-2012 –> 2013-2019 1.692957 5232.9597
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + phosphate + phosphate_star 0.8879019 1863.2634 6.924296 2000-2012 –> 2013-2019 1.697345 5251.5173
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8876626 1864.8796 6.919523 2000-2012 –> 2013-2019 1.686839 5219.4429
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8580498 1816.5638 13.367518 2000-2012 –> 2013-2019 1.741518 5451.4907
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.8315688 4982.0863 10.386820 1982-1999 –> 2000-2012 1.598707 11587.1875
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.8311005 4981.8181 10.766765 1982-1999 –> 2000-2012 1.559758 11294.8595
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9123305 5357.2491 16.566693 1982-1999 –> 2000-2012 1.673461 11919.4226
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.8391352 5020.5527 10.759834 1982-1999 –> 2000-2012 1.575652 11394.8979
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8457036 5051.9440 10.798387 1982-1999 –> 2000-2012 1.588480 11474.6422
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8420102 5034.3229 10.786385 1982-1999 –> 2000-2012 1.581873 11434.5653
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 0.8392335 5019.0245 10.583301 1982-1999 –> 2000-2012 1.610345 11653.6435
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7775516 4713.6839 9.636052 1982-1999 –> 2000-2012 1.522495 11153.0248
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 0.8457469 5050.1502 10.680117 1982-1999 –> 2000-2012 1.621631 11720.0223
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.8420657 5032.5883 10.652940 1982-1999 –> 2000-2012 1.615485 11684.2836
Atlantic (28.15,28.2] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.9400610 2937.9680 9.694372 2000-2012 –> 2013-2019 1.771630 7920.0543
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.9261747 2907.8826 8.026154 2000-2012 –> 2013-2019 1.757275 7889.7007
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0580589 3194.9076 13.461997 2000-2012 –> 2013-2019 1.970389 8552.1567
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.9345422 2927.2734 8.025563 2000-2012 –> 2013-2019 1.773677 7947.8262
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.9417682 2943.8798 8.063365 2000-2012 –> 2013-2019 1.787472 7995.8238
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.9371442 2933.2680 8.050753 2000-2012 –> 2013-2019 1.779154 7967.5909
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate 0.9517195 2964.5419 9.909076 2000-2012 –> 2013-2019 1.790953 7983.5664
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8484146 2718.8155 8.842232 2000-2012 –> 2013-2019 1.625966 7432.4994
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate_star 0.9596125 2982.3488 10.001292 2000-2012 –> 2013-2019 1.805359 8032.4990
Atlantic (28.15,28.2] cstar_tref ~ temp + silicate + phosphate + phosphate_star 0.9549110 2971.7598 9.977485 2000-2012 –> 2013-2019 1.796977 8004.3482
Atlantic (28.2, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.8989310 11101.6920 8.310562 1982-1999 –> 2000-2012 1.665710 24802.0339
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.6990396 8976.5255 2.842565 1982-1999 –> 2000-2012 1.282701 19438.3524
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6829634 8781.9277 2.924992 1982-1999 –> 2000-2012 1.257464 19057.9968
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 0.7940662 10053.5579 12.204050 1982-1999 –> 2000-2012 1.604413 24409.7616
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 0.7042722 9039.5425 6.382879 1982-1999 –> 2000-2012 1.352208 20741.2271
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.6816066 8765.1232 2.911507 1982-1999 –> 2000-2012 1.255519 19029.0472
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.6869762 8831.4304 2.973085 1982-1999 –> 2000-2012 1.264743 19174.7887
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.6846615 8802.9111 2.946372 1982-1999 –> 2000-2012 1.260981 19116.4945
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate 0.9046595 11155.3685 8.739880 1982-1999 –> 2000-2012 1.678293 24961.3237
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6765508 8702.2125 9.628805 1982-1999 –> 2000-2012 1.302156 19989.6626
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate 0.8107101 5808.3957 2.835865 2000-2012 –> 2013-2019 1.509750 14784.9213
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7766673 5604.7403 3.091854 2000-2012 –> 2013-2019 1.459631 14386.6679
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 0.8687336 6139.7853 10.852846 2000-2012 –> 2013-2019 1.662800 16193.3433
Atlantic (28.2, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 0.7825632 5638.9955 4.752826 2000-2012 –> 2013-2019 1.486835 14678.5380
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0201828 6912.1841 18.023648 2000-2012 –> 2013-2019 1.845757 17296.5497
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7742414 5589.7429 3.139424 2000-2012 –> 2013-2019 1.455848 14354.8661
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.7808814 5630.6818 3.140483 2000-2012 –> 2013-2019 1.467858 14462.1122
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.7777060 5611.1473 3.110185 2000-2012 –> 2013-2019 1.462368 14414.0584
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.0456896 7028.5710 16.663467 2000-2012 –> 2013-2019 1.912830 17826.0133
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7984159 5737.1392 9.067261 2000-2012 –> 2013-2019 1.474967 14439.3518
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.2801597 36600.1682 29.818984 1982-1999 –> 2000-2012 12.862680 87384.7542
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.2388929 36528.0930 29.366420 1982-1999 –> 2000-2012 12.772571 87200.2068
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.4254929 36857.2246 30.208689 1982-1999 –> 2000-2012 13.142967 87953.7368
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.2733617 36589.9990 29.675295 1982-1999 –> 2000-2012 12.852338 87368.3078
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.4996394 36986.1393 30.371328 1982-1999 –> 2000-2012 13.282718 88232.0298
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.3773992 36774.8088 29.718986 1982-1999 –> 2000-2012 13.034718 87735.0625
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.4461499 36895.2887 29.845366 1982-1999 –> 2000-2012 13.162131 87990.3838
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.5004682 36987.5719 30.432796 1982-1999 –> 2000-2012 13.288915 88245.6217
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.4520118 36905.5018 29.937685 1982-1999 –> 2000-2012 13.178380 88024.3492
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.4908437 36970.9237 31.083318 1982-1999 –> 2000-2012 13.364097 88419.7990
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.9966384 19054.5361 24.645119 2000-2012 –> 2013-2019 12.276798 55654.7043
Indo-Pacific (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.9243606 18984.6030 23.875073 2000-2012 –> 2013-2019 12.163253 55512.6960
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate 6.1276808 19182.7699 25.473564 2000-2012 –> 2013-2019 12.553174 56039.9945
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.9924378 19052.3794 24.457831 2000-2012 –> 2013-2019 12.265799 55642.3784
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 6.1981371 19250.5871 25.753337 2000-2012 –> 2013-2019 12.697776 56236.7264
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.0470335 19106.1797 24.650519 2000-2012 –> 2013-2019 12.424433 55880.9886
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1110238 19168.6229 24.877741 2000-2012 –> 2013-2019 12.557174 56063.9116
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 6.1930562 19245.7224 25.777825 2000-2012 –> 2013-2019 12.693524 56233.2943
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1120038 19169.5741 24.949991 2000-2012 –> 2013-2019 12.564016 56075.0760
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.1129613 19168.5034 25.112435 2000-2012 –> 2013-2019 12.603805 56139.4271
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9432773 36058.7225 42.584321 1982-1999 –> 2000-2012 9.635753 85543.0229
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5539940 35080.7012 44.753312 1982-1999 –> 2000-2012 8.823708 82991.6211
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.0503378 36316.7276 44.104781 1982-1999 –> 2000-2012 9.827135 86100.2061
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6161138 35242.5790 40.891373 1982-1999 –> 2000-2012 8.941439 83369.4242
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6965239 35448.9144 39.546419 1982-1999 –> 2000-2012 9.085497 83819.5071
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7055211 35471.7817 39.423783 1982-1999 –> 2000-2012 9.107829 83892.9940
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.9509994 36077.3723 41.437095 1982-1999 –> 2000-2012 9.626777 85502.1927
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9361025 36043.3683 42.245436 1982-1999 –> 2000-2012 9.609323 85461.0601
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9950409 36183.1857 49.382037 1982-1999 –> 2000-2012 9.692824 85686.3507
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.0021764 36200.2413 50.654439 1982-1999 –> 2000-2012 9.707223 85729.1828
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.9160569 19062.4030 39.841092 2000-2012 –> 2013-2019 9.859334 55121.1254
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5800051 18616.4801 45.821666 2000-2012 –> 2013-2019 9.133999 53697.1812
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6574285 18722.5251 39.739545 2000-2012 –> 2013-2019 9.273542 53965.1042
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.7355004 18827.6881 36.855147 2000-2012 –> 2013-2019 9.432024 54276.6026
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7403369 18834.1457 36.682469 2000-2012 –> 2013-2019 9.445858 54305.9273
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8209449 18938.8131 35.204419 2000-2012 –> 2013-2019 9.756173 54978.0648
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 4.9136860 19059.3514 36.964086 2000-2012 –> 2013-2019 9.864685 55136.7237
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.9051301 19050.3267 38.488949 2000-2012 –> 2013-2019 9.841233 55093.6949
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 4.9497060 19105.5552 34.611329 2000-2012 –> 2013-2019 9.944747 55288.7409
Indo-Pacific (26,26.5] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.9535006 19110.4031 34.415843 2000-2012 –> 2013-2019 9.955677 55310.6444
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.2530081 28580.1873 22.088300 1982-1999 –> 2000-2012 8.329365 67751.7414
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3778171 28868.4409 17.580971 1982-1999 –> 2000-2012 8.434463 67972.7841
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.0892195 28190.7985 20.072352 1982-1999 –> 2000-2012 7.972161 66690.3175
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3446226 28794.5866 21.561021 1982-1999 –> 2000-2012 8.396124 67883.3368
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2360966 28542.4799 19.954055 1982-1999 –> 2000-2012 8.211579 67368.5892
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3283079 28757.0921 23.063837 1982-1999 –> 2000-2012 8.373297 67823.5361
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3227555 28744.2995 22.662236 1982-1999 –> 2000-2012 8.370524 67820.2670
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.3733096 28858.1744 24.620781 1982-1999 –> 2000-2012 8.438235 67990.7907
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.3727026 28856.7911 24.913709 1982-1999 –> 2000-2012 8.542972 68344.1730
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.1256713 28279.2431 22.364969 1982-1999 –> 2000-2012 8.126354 67192.9706
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.5664310 15869.5452 24.381318 2000-2012 –> 2013-2019 8.819439 44449.7325
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7452825 16076.9312 20.815315 2000-2012 –> 2013-2019 9.123100 44945.3721
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4241171 15700.6380 23.915080 2000-2012 –> 2013-2019 8.513336 43891.4365
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7197611 16049.8208 20.737804 2000-2012 –> 2013-2019 9.064384 44844.4074
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5675473 15872.8646 23.790924 2000-2012 –> 2013-2019 8.803644 44415.3445
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.6634756 15985.0601 27.009578 2000-2012 –> 2013-2019 8.991783 44742.1522
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6524894 15972.3285 26.300399 2000-2012 –> 2013-2019 8.975245 44716.6280
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.8325633 16175.3154 30.682274 2000-2012 –> 2013-2019 9.205873 45033.4898
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.6927690 16016.8614 29.306095 2000-2012 –> 2013-2019 9.065472 44873.6524
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4602774 15744.5790 23.480597 2000-2012 –> 2013-2019 8.585949 44023.8221
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 4.6964246 36399.6301 19.956325 1982-1999 –> 2000-2012 8.854765 85298.9295
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.6600497 36306.2261 18.631871 1982-1999 –> 2000-2012 8.790259 85090.8415
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.4690269 35792.6601 21.903442 1982-1999 –> 2000-2012 8.306674 83314.3453
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4299290 35686.8420 20.567849 1982-1999 –> 2000-2012 8.235528 83066.3715
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 4.7283178 36484.6734 22.062270 1982-1999 –> 2000-2012 8.824303 85126.2509
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3764564 35537.8328 24.155271 1982-1999 –> 2000-2012 8.155596 82797.4266
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.6904849 36388.1022 20.587989 1982-1999 –> 2000-2012 8.756676 84906.1856
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7909596 36648.1617 19.879630 1982-1999 –> 2000-2012 8.980626 85680.4708
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4147522 35642.7332 25.003944 1982-1999 –> 2000-2012 8.287482 83320.8516
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.3524014 35470.2051 23.266241 1982-1999 –> 2000-2012 8.174186 82922.6919
Indo-Pacific (26.75,27] cstar_tref ~ aou + phosphate + phosphate_star 5.0571210 19938.5085 21.624849 2000-2012 –> 2013-2019 9.753546 56338.1386
Indo-Pacific (26.75,27] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.0323654 19908.3367 20.355745 2000-2012 –> 2013-2019 9.692415 56214.5628
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.8557206 19674.0738 23.134484 2000-2012 –> 2013-2019 9.324748 55466.7339
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.8272468 19637.5164 21.530173 2000-2012 –> 2013-2019 9.257176 55324.3583
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 5.1020985 19998.5590 23.101966 2000-2012 –> 2013-2019 9.830416 56483.2325
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.7804239 19573.6147 27.468474 2000-2012 –> 2013-2019 9.156880 55111.4474
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.0760152 19966.9571 21.685280 2000-2012 –> 2013-2019 9.766500 56355.0592
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.1689570 20085.9117 20.758325 2000-2012 –> 2013-2019 9.959917 56734.0734
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.8134874 19616.8027 28.200886 2000-2012 –> 2013-2019 9.228240 55259.5358
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7660416 19553.8606 26.508381 2000-2012 –> 2013-2019 9.118443 55024.0656
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4247843 45196.9766 41.955348 1982-1999 –> 2000-2012 8.124924 103633.3899
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7207687 46203.7115 59.058113 1982-1999 –> 2000-2012 8.621100 105768.8735
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3779276 45033.4517 44.485161 1982-1999 –> 2000-2012 7.999529 103012.2726
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3906586 45078.5995 51.228310 1982-1999 –> 2000-2012 8.058303 103328.0536
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5714513 45705.9846 41.262834 1982-1999 –> 2000-2012 8.388030 104808.1355
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.6875333 46095.8627 39.776509 1982-1999 –> 2000-2012 8.632685 105907.7910
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.4560374 45306.4093 48.916173 1982-1999 –> 2000-2012 8.212415 104065.9656
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 4.5743610 45713.8775 40.477243 1982-1999 –> 2000-2012 8.410342 104922.6546
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0073313 43658.2318 33.755013 1982-1999 –> 2000-2012 7.387478 100158.9966
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.6885848 46097.3497 39.304596 1982-1999 –> 2000-2012 8.647929 105984.2034
Indo-Pacific (27,27.25] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.1723556 25508.4330 36.033755 2000-2012 –> 2013-2019 9.597140 70705.4095
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 5.4320894 25916.3705 25.868863 2000-2012 –> 2013-2019 10.204570 72289.4708
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1179855 25422.4495 38.508960 2000-2012 –> 2013-2019 9.495913 70455.9013
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.1786096 25520.4940 46.466105 2000-2012 –> 2013-2019 9.569268 70599.0935
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.3049828 25721.2332 34.661205 2000-2012 –> 2013-2019 9.876434 71427.2178
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.3928334 25857.9827 33.129925 2000-2012 –> 2013-2019 10.080367 71953.8454
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + phosphate + phosphate_star 5.2479146 25629.1814 44.123913 2000-2012 –> 2013-2019 9.703952 70935.5907
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate 5.3069909 25722.3843 34.100429 2000-2012 –> 2013-2019 9.881352 71436.2618
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5859941 24508.6376 29.369756 2000-2012 –> 2013-2019 8.593325 68166.8694
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 5.3936438 25857.2339 32.776574 2000-2012 –> 2013-2019 10.082229 71954.5835
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 3.7883105 40455.1240 30.730003 1982-1999 –> 2000-2012 6.881611 90737.5631
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6005006 39709.5681 33.071824 1982-1999 –> 2000-2012 6.571859 89200.5563
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 3.6276227 39817.9010 32.134599 1982-1999 –> 2000-2012 6.600574 89317.4660
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.6841067 40045.0553 31.160905 1982-1999 –> 2000-2012 6.678250 89684.7454
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5414587 39466.4822 33.401271 1982-1999 –> 2000-2012 6.479934 88737.9332
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5702464 39585.5086 33.491300 1982-1999 –> 2000-2012 6.534777 89031.1136
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 3.5938483 39680.3794 35.540744 1982-1999 –> 2000-2012 6.891064 91222.2502
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5492843 39498.9338 33.569547 1982-1999 –> 2000-2012 6.501689 88863.6767
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 3.9158318 40941.8725 34.793882 1982-1999 –> 2000-2012 7.111727 91868.0123
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3267764 38547.0941 33.862527 1982-1999 –> 2000-2012 6.181484 87247.9800
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.3920697 22674.3423 29.076246 2000-2012 –> 2013-2019 8.180380 63129.4663
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1766045 22283.0815 32.589678 2000-2012 –> 2013-2019 7.777105 61992.6496
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2181404 22358.4466 30.995118 2000-2012 –> 2013-2019 7.845763 62176.3477
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.2938391 22497.5043 29.598350 2000-2012 –> 2013-2019 7.977946 62542.5596
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.1032514 22144.5551 33.161694 2000-2012 –> 2013-2019 7.644710 61611.0373
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1338823 22202.6998 33.279262 2000-2012 –> 2013-2019 7.704129 61788.2084
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate 4.1120690 22159.3373 34.196766 2000-2012 –> 2013-2019 7.705917 61839.7167
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1066786 22151.0822 33.387214 2000-2012 –> 2013-2019 7.655963 61650.0160
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate 4.5607941 22969.0511 33.574406 2000-2012 –> 2013-2019 8.476626 63910.9236
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.7917291 21527.2650 33.525325 2000-2012 –> 2013-2019 7.118506 60074.3591
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1083250 39810.5151 10.089971 1982-1999 –> 2000-2012 5.383532 87947.9588
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.2953018 40719.0689 23.187702 1982-1999 –> 2000-2012 5.593990 89074.9955
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.3685543 41061.7850 26.570147 1982-1999 –> 2000-2012 5.687276 89604.0491
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4000976 41209.0730 21.784129 1982-1999 –> 2000-2012 5.978695 92034.5105
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.1037038 39785.3228 10.315295 1982-1999 –> 2000-2012 5.583869 89772.9833
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0515401 39523.1104 9.456817 1982-1999 –> 2000-2012 5.299053 87397.5594
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0584885 39558.5637 9.504795 1982-1999 –> 2000-2012 5.318787 87554.8273
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.0631121 39580.1107 12.814094 1982-1999 –> 2000-2012 5.371529 88026.7251
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0476098 39503.0203 9.397780 1982-1999 –> 2000-2012 5.302148 87444.4940
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3465693 40961.7162 16.041525 1982-1999 –> 2000-2012 5.786782 90602.6360
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6620606 22450.6932 12.124587 2000-2012 –> 2013-2019 6.770386 62261.2083
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 4.0025664 23182.9098 26.067115 2000-2012 –> 2013-2019 7.297868 63901.9787
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 4.0047653 23187.4452 18.787997 2000-2012 –> 2013-2019 7.419573 64461.8106
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9855759 23149.7809 20.503092 2000-2012 –> 2013-2019 7.385674 64358.8539
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.5990796 22305.4345 10.796496 2000-2012 –> 2013-2019 6.702783 62090.7573
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.5857892 22276.8837 11.095529 2000-2012 –> 2013-2019 6.637329 61799.9940
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.5893554 22285.0923 11.103375 2000-2012 –> 2013-2019 6.647844 61843.6560
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.6764968 22481.1829 17.935126 2000-2012 –> 2013-2019 6.739609 62061.2936
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.5747323 22251.3804 10.907617 2000-2012 –> 2013-2019 6.622342 61754.4007
Indo-Pacific (27.5,27.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.0078073 23195.7158 18.686528 2000-2012 –> 2013-2019 7.354377 64157.4320
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.6639007 15771.6562 22.864245 1982-1999 –> 2000-2012 4.750675 34989.3863
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6510177 15741.8056 24.056369 1982-1999 –> 2000-2012 4.735624 34952.2697
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6593461 15762.4135 23.912453 1982-1999 –> 2000-2012 4.752849 35010.8379
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6573761 15757.5448 23.706051 1982-1999 –> 2000-2012 4.754538 35021.5368
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6561934 15754.6200 23.637730 1982-1999 –> 2000-2012 4.753725 35020.1848
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 2.6677616 15781.1714 25.028220 1982-1999 –> 2000-2012 4.767181 35052.7536
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.6774761 15805.0523 22.507350 1982-1999 –> 2000-2012 4.774216 35065.2519
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.5894484 15587.4191 22.616594 1982-1999 –> 2000-2012 4.649321 34691.4864
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.6754414 15800.0577 22.315474 1982-1999 –> 2000-2012 4.775590 35074.7356
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.6742233 15797.0656 22.252997 1982-1999 –> 2000-2012 4.774656 35072.9500
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1032714 9357.2099 28.842289 2000-2012 –> 2013-2019 5.754289 25099.0156
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate_star 3.1060870 9358.5309 28.182934 2000-2012 –> 2013-2019 5.769210 25128.2689
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.1047580 9356.9638 28.278040 2000-2012 –> 2013-2019 5.764174 25117.5490
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + silicate + phosphate_star 3.1137279 9365.5283 29.491419 2000-2012 –> 2013-2019 5.788184 25161.1651
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0203461 9258.0230 31.461684 2000-2012 –> 2013-2019 5.679828 25020.7723
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1106952 9365.9599 28.585907 2000-2012 –> 2013-2019 5.770041 25128.3734
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1060122 9360.4427 28.288842 2000-2012 –> 2013-2019 5.763388 25117.9875
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1047122 9358.9097 28.180344 2000-2012 –> 2013-2019 5.760906 25113.5296
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate_star 3.1135288 9367.2941 29.650786 2000-2012 –> 2013-2019 5.781290 25148.4656
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0638417 9310.3829 25.606619 2000-2012 –> 2013-2019 5.653290 24897.8020
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.7768689 19763.4849 35.768682 1982-1999 –> 2000-2012 4.890439 43928.0663
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7754984 19761.4892 36.065886 1982-1999 –> 2000-2012 4.888401 43924.5497
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.7808061 19776.9530 36.506954 1982-1999 –> 2000-2012 4.920473 44080.2912
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7818621 19780.0261 35.843695 1982-1999 –> 2000-2012 4.900897 43975.3844
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7815205 19779.0321 35.806615 1982-1999 –> 2000-2012 4.902296 43983.5401
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7818432 19779.9711 35.788093 1982-1999 –> 2000-2012 4.903281 43987.9579
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate 2.7841548 19784.6940 35.431765 1982-1999 –> 2000-2012 4.904436 43984.6039
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.7622174 19722.6658 36.840204 1982-1999 –> 2000-2012 4.865997 43837.5037
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate_star 2.7837812 19783.6078 35.395719 1982-1999 –> 2000-2012 4.905844 43992.8803
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.7841513 19784.6838 35.371389 1982-1999 –> 2000-2012 4.906921 43997.6673
Indo-Pacific (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.1026577 10941.3306 38.862065 2000-2012 –> 2013-2019 5.879527 30704.8155
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.0890675 10922.5246 39.968381 2000-2012 –> 2013-2019 5.873147 30707.0000
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0857785 10919.9609 40.015260 2000-2012 –> 2013-2019 5.861277 30681.4501
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.0413356 10857.8121 41.543177 2000-2012 –> 2013-2019 5.822142 30634.7650
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.0965763 10934.9254 39.767905 2000-2012 –> 2013-2019 5.878438 30714.9514
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.0941502 10931.5677 39.703700 2000-2012 –> 2013-2019 5.875671 30710.5998
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate 3.1040234 10943.2158 41.295870 2000-2012 –> 2013-2019 5.885886 30721.2429
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.0952649 10933.1108 39.663019 2000-2012 –> 2013-2019 5.877108 30713.0819
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 3.0546560 10874.5340 40.601759 2000-2012 –> 2013-2019 5.835544 30649.7242
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.0518298 10872.5687 40.735383 2000-2012 –> 2013-2019 5.814047 30595.2345
Indo-Pacific (27.95,28.05] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.3120843 18068.7036 8.353671 1982-1999 –> 2000-2012 4.301640 41757.4817
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.2539713 17867.0577 8.649145 1982-1999 –> 2000-2012 4.218805 41417.3211
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 2.2589943 17882.8660 8.624166 1982-1999 –> 2000-2012 4.275003 41720.0772
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.2586209 17883.5434 8.671942 1982-1999 –> 2000-2012 4.226775 41452.7800
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2587157 17883.8792 8.665561 1982-1999 –> 2000-2012 4.227742 41458.0938
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate 2.2670056 17909.1871 8.527904 1982-1999 –> 2000-2012 4.283180 41745.3231
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 2.2613688 17891.2706 8.718979 1982-1999 –> 2000-2012 4.254776 41601.7815
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2584202 17882.8325 8.669948 1982-1999 –> 2000-2012 4.227044 41454.7490
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.2644434 17902.1400 8.476091 1982-1999 –> 2000-2012 4.251845 41578.7467
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2544584 17868.7863 8.194285 1982-1999 –> 2000-2012 4.216315 41402.0101
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4636685 10275.6491 8.995974 2000-2012 –> 2013-2019 4.717640 28142.7068
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.4733849 10293.0546 8.735427 2000-2012 –> 2013-2019 4.778429 28339.3630
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 2.4782080 10299.6691 8.969714 2000-2012 –> 2013-2019 4.737202 28182.5352
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.4698223 10286.6808 9.061996 2000-2012 –> 2013-2019 4.728443 28170.2242
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.4692392 10285.6366 9.060557 2000-2012 –> 2013-2019 4.727955 28169.5158
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate 2.5057678 10346.5741 8.977222 2000-2012 –> 2013-2019 4.772773 28255.7612
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate 2.5033719 10344.3440 8.939868 2000-2012 –> 2013-2019 4.764741 28235.6146
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.4690447 10285.2882 9.057342 2000-2012 –> 2013-2019 4.727465 28168.1207
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 2.4710154 10286.8163 9.091710 2000-2012 –> 2013-2019 4.735459 28188.9563
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.4590057 10267.2720 8.013161 2000-2012 –> 2013-2019 4.713464 28136.0583
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 1.9234948 10713.2506 8.647099 1982-1999 –> 2000-2012 3.559831 25110.4332
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.8928438 10632.3315 8.764850 1982-1999 –> 2000-2012 3.524307 25009.0683
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9323668 10737.0055 8.825899 1982-1999 –> 2000-2012 3.583287 25200.9675
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate 1.9298811 10728.3610 8.794546 1982-1999 –> 2000-2012 3.609289 25319.0807
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.9179397 10698.3211 8.633406 1982-1999 –> 2000-2012 3.560506 25124.1057
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8951875 10638.7192 8.767010 1982-1999 –> 2000-2012 3.527313 25018.5120
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8958513 10640.5267 8.767085 1982-1999 –> 2000-2012 3.528846 25024.3270
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 1.8952781 10636.9658 8.797017 1982-1999 –> 2000-2012 3.574423 25228.5072
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8951582 10638.6392 8.762353 1982-1999 –> 2000-2012 3.527732 25020.5004
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.9157522 10694.4304 8.533251 1982-1999 –> 2000-2012 3.626748 25429.3934
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate 2.0892046 6336.8882 8.651078 2000-2012 –> 2013-2019 4.012699 17050.1388
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.0594409 6296.7886 8.802893 2000-2012 –> 2013-2019 3.952285 16929.1201
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate_star 2.0838357 6329.3386 8.650974 2000-2012 –> 2013-2019 4.016203 17066.3441
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + silicate + phosphate + phosphate_star 2.0728445 6313.8223 8.661407 2000-2012 –> 2013-2019 3.990784 17012.1434
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate 2.0621507 6298.6466 8.806887 2000-2012 –> 2013-2019 3.988874 17020.5547
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.0621501 6300.6457 8.807529 2000-2012 –> 2013-2019 3.957338 16939.3649
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.0621491 6300.6443 8.805830 2000-2012 –> 2013-2019 3.958000 16941.1710
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 2.1263116 6388.5425 9.434007 2000-2012 –> 2013-2019 4.021590 17025.5083
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.0613801 6299.5499 8.800503 2000-2012 –> 2013-2019 3.956538 16938.1891
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.1024626 6357.4484 8.513025 2000-2012 –> 2013-2019 4.018215 17051.8788
Indo-Pacific (28.1, Inf] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.8556348 81160.4454 15.229313 1982-1999 –> 2000-2012 3.434976 184889.7737
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5851502 74884.6921 12.511212 1982-1999 –> 2000-2012 2.982042 171826.9471
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5311977 73507.2840 14.214366 1982-1999 –> 2000-2012 2.864399 167871.4547
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 1.7584799 79018.2887 8.670011 1982-1999 –> 2000-2012 3.380425 184219.2735
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.7262480 78281.3797 9.253351 1982-1999 –> 2000-2012 3.310006 182165.0975
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5313000 73509.9446 14.202239 1982-1999 –> 2000-2012 2.864069 167856.1779
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5314928 73514.9585 14.185354 1982-1999 –> 2000-2012 2.863680 167837.0700
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5314910 73514.9130 14.185270 1982-1999 –> 2000-2012 2.863676 167836.9173
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5317666 73520.0807 14.250129 1982-1999 –> 2000-2012 2.864089 167845.7842
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5798847 74754.1507 14.936959 1982-1999 –> 2000-2012 2.969440 171407.2658
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.7754628 42694.0808 15.096407 2000-2012 –> 2013-2019 3.360613 117578.7729
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7314864 42158.9485 16.581456 2000-2012 –> 2013-2019 3.262684 115666.2325
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate_star 1.9094055 44251.6842 12.865914 2000-2012 –> 2013-2019 3.667885 123269.9729
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate + phosphate_star 1.8802282 43921.9031 13.117569 2000-2012 –> 2013-2019 3.606476 122203.2828
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + silicate + phosphate_star 2.0014061 45257.4791 13.609980 2000-2012 –> 2013-2019 3.854454 126360.3636
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.7317874 42162.6704 16.576870 2000-2012 –> 2013-2019 3.263087 115672.6150
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.7322153 42167.9616 16.575055 2000-2012 –> 2013-2019 3.263708 115682.9201
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.7322017 42167.7935 16.574226 2000-2012 –> 2013-2019 3.263693 115682.7065
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.7349951 42200.3016 16.913655 2000-2012 –> 2013-2019 3.266762 115720.3823
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.7819870 42774.6330 17.106634 2000-2012 –> 2013-2019 3.361872 117528.7837

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)
# mutate predictors column
lm_best_plot <- lm_best_target %>%
  select(basin, gamma_slab, model, eras, era) %>%
  mutate(predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
         predictors = str_replace_all(predictors, "\\+ ", ""))

# loop across all basins, era, gamma slabs, and MLRs
# fit all MLR models
for (i_basin in unique(GLODAP$basin)) {
  for (i_era in unique(GLODAP$era)) {
    #i_basin <- unique(GLODAP$basin)[1]
    #i_era   <- unique(GLODAP$era)[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)
      
      lm_best_basin_era_slab <- lm_best_plot %>%
        filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
      
      for (i_predictors in unique(lm_best_basin_era_slab$predictors)) {
        #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
        print(i_predictors)
        # extract one model definition
        i_lm <- lm_all %>%
          filter(predictors == i_predictors) %>%
          select(lm_coeff) %>%
          pull()
        
        # 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(lm_best_plot, lm_best_basin_era_slab, i_rmse,
   GLODAP_basin_era, GLODAP_basin_era_slab,
   i_lm, lm_all_fitted, 
   i_basin, i_era, i_gamma_slab, i_predictors,
   lm_all,
   i_aic, i_n_predictors, i_resid_max)

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
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

lm_best_target %>%
  ggplot(aes("",
             !!sym(params_local$MLR_criterion),
             col = basin)) +
  geom_hline(yintercept = 10) +
  geom_boxplot() +
  facet_grid(gamma_slab~era) +
  scale_color_brewer(palette = "Set1") +
  labs(x="Number of predictors pooled")

Version Author Date
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

RMSE was plotted to compare the agreement for one model applied to two adjacent eras (ie check whether the same predictor combination performs equal in both eras).

6.2.1 All models

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

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

Version Author Date
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 8 7 7 10 5 8
(26,26.5] 5 6 6 8 10 9
(26.5,26.75] 8 8 7 5 10 7
(26.75,27] 8 8 7 5 10 7
(27,27.25] 9 7 7 6 10 6
(27.25,27.5] 7 8 7 10 6 7
(27.5,27.75] 7 7 7 10 6 8
(27.75,27.85] 8 7 7 10 6 7
(27.85,27.95] 10 10 7 5 5 6
(27.95,28.05] 8 8 8 9 5 8
(28.05,28.1] 8 8 8 9 5 8
(28.1,28.15] 8 8 8 9 5 8
(28.15,28.2] 8 8 8 5 9 8
(28.2, Inf] 8 8 7 7 10 5
total 110.00 108.00 101.00 108.00 102.00 102.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 8 7 7 10 5 8
(26,26.5] 5 6 6 8 10 9
(26.5,26.75] 8 8 7 5 10 7
(26.75,27] 8 8 7 5 10 7
(27,27.25] 6 6 8 9 10 5
(27.25,27.5] 8 8 6 10 6 6
(27.5,27.75] 7 7 8 10 6 7
(27.75,27.85] 8 7 7 10 7 6
(27.85,27.95] 9 10 8 6 5 6
(27.95,28.05] 8 8 8 9 5 8
(28.05,28.1] 8 8 8 9 5 8
(28.1,28.15] 8 8 8 9 5 8
(28.15,28.2] 8 8 8 5 9 8
(28.2, Inf] 8 8 8 8 8 6
total 107.00 107.00 104.00 113.00 101.00 99.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 7 7 8 10 5 8
(26,26.5] 8 8 8 5 9 8
(26.5,26.75] 8 8 8 7 8 7
(26.75,27] 9 10 8 6 5 6
(27,27.25] 8 10 8 5 7 7
(27.25,27.5] 7 8 6 8 10 6
(27.5,27.75] 7 7 7 9 9 7
(27.75,27.85] 7 7 8 5 10 8
(27.85,27.95] 8 8 8 5 9 8
(27.95,28.05] 6 6 6 8 10 8
(28.05,28.1] 6 8 6 9 10 5
(28.1, Inf] 7 7 8 8 10 5
total 88.00 94.00 89.00 85.00 102.00 83.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 7 7 8 10 5 8
(26,26.5] 7 7 8 5 10 8
(26.5,26.75] 8 8 8 7 8 7
(26.75,27] 9 10 8 6 5 6
(27,27.25] 8 10 7 5 8 7
(27.25,27.5] 7 8 6 8 10 6
(27.5,27.75] 8 7 6 9 8 8
(27.75,27.85] 6 6 9 9 9 6
(27.85,27.95] 8 9 8 7 7 7
(27.95,28.05] 6 6 6 9 9 9
(28.05,28.1] 7 7 6 9 10 6
(28.1, Inf] 6 6 8 9 10 5
total 87.00 91.00 88.00 93.00 99.00 83.00

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
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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_0.7.3      kableExtra_1.3.1
 [5] knitr_1.30       olsrr_0.5.3      GGally_2.0.0     lubridate_1.7.9 
 [9] metR_0.9.0       scico_1.2.0      patchwork_1.1.1  collapse_1.5.0  
[13] forcats_0.5.0    stringr_1.4.0    dplyr_1.0.2      purrr_0.3.4     
[17] readr_1.4.0      tidyr_1.1.2      tibble_3.0.4     ggplot2_3.3.3   
[21] tidyverse_1.3.0  workflowr_1.6.2 

loaded via a namespace (and not attached):
 [1] fs_1.5.0                 webshot_0.5.2            RColorBrewer_1.1-2      
 [4] httr_1.4.2               rprojroot_2.0.2          tools_4.0.3             
 [7] backports_1.1.10         R6_2.5.0                 nortest_1.0-4           
[10] DBI_1.1.0                colorspace_2.0-0         withr_2.3.0             
[13] gridExtra_2.3            tidyselect_1.1.0         curl_4.3                
[16] compiler_4.0.3           git2r_0.27.1             cli_2.2.0               
[19] rvest_0.3.6              xml2_1.3.2               sass_0.2.0              
[22] labeling_0.4.2           scales_1.1.1             checkmate_2.0.0         
[25] goftest_1.2-2            digest_0.6.27            foreign_0.8-80          
[28] rmarkdown_2.5            rio_0.5.16               pkgconfig_2.0.3         
[31] htmltools_0.5.0          highr_0.8                dbplyr_1.4.4            
[34] rlang_0.4.10             readxl_1.3.1             rstudioapi_0.13         
[37] farver_2.0.3             generics_0.1.0           jsonlite_1.7.2          
[40] zip_2.1.1                car_3.0-10               magrittr_2.0.1          
[43] Matrix_1.2-18            Rcpp_1.0.5               munsell_0.5.0           
[46] fansi_0.4.1              abind_1.4-5              lifecycle_0.2.0         
[49] stringi_1.5.3            whisker_0.4              yaml_2.2.1              
[52] carData_3.0-4            plyr_1.8.6               grid_4.0.3              
[55] blob_1.2.1               parallel_4.0.3           promises_1.1.1          
[58] crayon_1.3.4             lattice_0.20-41          haven_2.3.1             
[61] hms_0.5.3                pillar_1.4.7             reprex_0.3.0            
[64] glue_1.4.2               evaluate_0.14            RcppArmadillo_0.10.1.2.2
[67] data.table_1.13.6        modelr_0.1.8             vctrs_0.3.6             
[70] httpuv_1.5.4             cellranger_1.1.0         gtable_0.3.0            
[73] reshape_0.8.8            assertthat_0.2.1         xfun_0.20               
[76] openxlsx_4.2.3           RcppEigen_0.3.3.9.1      later_1.1.0.1           
[79] viridisLite_0.3.0        ellipsis_0.3.1           here_1.0.1