Last updated: 2021-01-31

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: a815096

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 a815096. 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:   code/Workflowr_project_managment.R
    Modified:   data/auxillary/params_local.rds

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

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

File Version Author Date Message
html 59e006e Donghe-Zhu 2021-01-31 Build site.
html a1c8f87 Donghe-Zhu 2021-01-31 Build site.
html ae5c18f Donghe-Zhu 2021-01-31 Build site.
html b50fe52 Donghe-Zhu 2021-01-31 Build site.
Rmd ac99ae5 jens-daniel-mueller 2021-01-29 code review
html ac99ae5 jens-daniel-mueller 2021-01-29 code review
html b5bdcaf Donghe-Zhu 2021-01-29 Build site.
Rmd b234505 Donghe-Zhu 2021-01-29 MLR approach across all depth
html 442010d Donghe-Zhu 2021-01-29 Build site.
Rmd e67e7dd Donghe-Zhu 2021-01-29 surface equilibrium approach across all latitudes irrespective of gamma
html 372adf5 Donghe-Zhu 2021-01-29 Build site.
html af8788e Donghe-Zhu 2021-01-29 Build site.
html 21c91c9 Donghe-Zhu 2021-01-29 Build site.
html eded038 Donghe-Zhu 2021-01-29 Build site.
html 541d4dd Donghe-Zhu 2021-01-29 Build site.
html 6a75576 Donghe-Zhu 2021-01-28 Build site.
html 16fba40 Donghe-Zhu 2021-01-28 Build site.
Rmd aecf0c6 Donghe-Zhu 2021-01-28 diagnostic ploting
Rmd a02684e Donghe-Zhu 2021-01-28 error
Rmd 4584be9 Donghe-Zhu 2021-01-28 latest
html 12bc567 Donghe-Zhu 2021-01-27 Build site.
html ceed31b Donghe-Zhu 2021-01-27 Build site.
html 342402d Donghe-Zhu 2021-01-27 Build site.
html 5bad5c2 Donghe-Zhu 2021-01-27 Build site.
Rmd c2c9529 Donghe-Zhu 2021-01-27 random subsetting based on lat
html 61efb56 Donghe-Zhu 2021-01-25 Build site.
html 48f638e Donghe-Zhu 2021-01-25 Build site.
html c1cec47 Donghe-Zhu 2021-01-25 Build site.
html 05ffb0c Donghe-Zhu 2021-01-25 Build site.
html 8b97165 Donghe-Zhu 2021-01-25 Build site.
html c569946 Donghe-Zhu 2021-01-24 Build site.
html a2f0d56 Donghe-Zhu 2021-01-23 Build site.
html 28509fc Donghe-Zhu 2021-01-23 Build site.
html 4c28e4a Donghe-Zhu 2021-01-22 Build site.
html 24cc264 jens-daniel-mueller 2021-01-22 cleaned /docs before creating copies
html 88eb28f Donghe-Zhu 2021-01-21 Build site.
html 2679490 Donghe-Zhu 2021-01-21 Build site.
html 7891955 Donghe-Zhu 2021-01-21 Build site.
html d4cf1cb Donghe-Zhu 2021-01-21 Build site.
Rmd 167eeec Donghe-Zhu 2021-01-21 surface DIC calculation with atmospheric equilibrium option
html 1f3e5b6 jens-daniel-mueller 2021-01-20 Build site.
html 0e7bdf1 jens-daniel-mueller 2021-01-15 cleaning template repository
html 73cbef3 jens-daniel-mueller 2021-01-15 Build site.
html 4571843 jens-daniel-mueller 2021-01-14 revision and html deleted for template copying
html 23151cd jens-daniel-mueller 2021-01-14 Build site.
html b3564aa jens-daniel-mueller 2021-01-14 Build site.
html 8d032c3 jens-daniel-mueller 2021-01-14 Build site.
html 022871c Donghe-Zhu 2021-01-13 Build site.
Rmd d44f36f Donghe-Zhu 2021-01-13 reorder analysis final
html 17dee1d jens-daniel-mueller 2021-01-13 Build site.
Rmd 9e04fd7 jens-daniel-mueller 2021-01-13 local rebuild after revision
html a076226 Donghe-Zhu 2021-01-11 Build site.
Rmd 52eff18 Donghe-Zhu 2021-01-09 Implemet model_run and subsetting
html 7cdea0c jens-daniel-mueller 2021-01-06 Build site.
Rmd b5934dd jens-daniel-mueller 2021-01-06 local rebuild after revision
html fa85b93 jens-daniel-mueller 2021-01-06 Build site.
html e5cb81a Donghe-Zhu 2021-01-05 Build site.
Rmd 608cc45 Donghe-Zhu 2021-01-05 modification of analysis
html a499f10 Donghe-Zhu 2021-01-05 Build site.
Rmd 715bdb4 Donghe-Zhu 2021-01-02 model modification
html fb8a752 Donghe-Zhu 2020-12-23 Build site.
Rmd 82e3c9c Donghe-Zhu 2020-12-23 first build after creating model template
html 8fae0b2 Donghe-Zhu 2020-12-21 Build site.
Rmd 00a1322 Donghe-Zhu 2020-12-21 first build after creating model template
Rmd d73ae35 Donghe-Zhu 2020-12-21 first version with lm error
html c8b76b3 jens-daniel-mueller 2020-12-19 Build site.
Rmd b5fedce jens-daniel-mueller 2020-12-19 first build after creating model template
Rmd 8e8abf5 Jens Müller 2020-12-18 Initial commit

1 Required data

Required are:

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

2 Predictor combinations

Find all possible combinations of following considered predictor variables:

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

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

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

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

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

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

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

# convert to tibble
lm_all <- as_tibble(lm_all)

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

# remove 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:

  • 86

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
        }
      }
      
      
    }
  }
  
}

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 + temp + aou + nitrate + phosphate_star 11.5283416 20051.39205 35.121670 1982-1999 –> 2000-2012 21.691077 34500.259
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 11.6416612 20102.11976 35.629061 1982-1999 –> 2000-2012 21.890582 34583.600
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate 11.6670826 20111.43184 35.431592 1982-1999 –> 2000-2012 21.922087 34593.204
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 11.4234295 20003.98150 35.711994 1982-1999 –> 2000-2012 21.233880 34316.599
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 11.3971649 19992.04421 34.710454 1982-1999 –> 2000-2012 21.315793 34347.014
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 11.5291348 20049.74888 35.048563 1982-1999 –> 2000-2012 21.692181 34496.734
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate 11.6654971 20110.72704 35.965068 1982-1999 –> 2000-2012 21.939920 34599.805
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 11.4617823 20021.36374 35.379104 1982-1999 –> 2000-2012 21.474793 34412.909
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate 11.4576793 20017.50698 35.440388 1982-1999 –> 2000-2012 21.455763 34401.291
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 11.4039064 19995.11084 35.264036 1982-1999 –> 2000-2012 21.280704 34333.759
Atlantic (-Inf,26] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.8538203 3155.42856 22.374716 2000-2012 –> 2013-2019 18.046286 23497.287
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 7.3619628 3379.45140 26.701178 2000-2012 –> 2013-2019 19.023394 23488.370
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 7.1865157 3357.66895 26.676923 2000-2012 –> 2013-2019 18.714857 23409.061
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 7.2864657 3371.28775 25.327452 2000-2012 –> 2013-2019 18.928127 23473.408
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.2830743 3225.20276 24.407197 2000-2012 –> 2013-2019 17.706504 23229.184
Atlantic (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.6801702 3285.62886 25.011215 2000-2012 –> 2013-2019 18.077335 23277.673
Atlantic (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.8694267 3313.17492 23.992990 2000-2012 –> 2013-2019 18.331209 23334.539
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.7715391 3299.02361 24.781839 2000-2012 –> 2013-2019 18.175445 23294.134
Atlantic (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 6.9066378 3316.50159 23.232374 2000-2012 –> 2013-2019 18.756667 23508.622
Atlantic (-Inf,26] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.8759269 3314.10748 26.642173 2000-2012 –> 2013-2019 19.529953 23848.663
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.6290702 10455.01133 22.461173 1982-1999 –> 2000-2012 11.774677 16369.179
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.8226592 10545.79844 23.782876 1982-1999 –> 2000-2012 11.600035 16316.660
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.5894009 10436.08065 23.670889 1982-1999 –> 2000-2012 11.522263 16268.756
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.6945292 10486.00288 24.239327 1982-1999 –> 2000-2012 11.724692 16356.377
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.7141232 10495.22070 24.237311 1982-1999 –> 2000-2012 11.802340 16387.742
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 6.8289533 10546.70676 23.278194 1982-1999 –> 2000-2012 11.704913 16354.990
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.6346391 10457.65983 24.336966 1982-1999 –> 2000-2012 11.453813 16245.334
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 6.6025484 10440.36740 24.359897 1982-1999 –> 2000-2012 11.540424 16273.004
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6.5992001 10440.76755 24.290439 1982-1999 –> 2000-2012 11.521915 16269.469
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 6.6991775 10486.19207 24.652010 1982-1999 –> 2000-2012 11.772512 16371.060
Atlantic (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.8141592 1518.51167 15.853161 2000-2012 –> 2013-2019 9.535372 12015.061
Atlantic (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.7938686 1516.06858 16.475440 2000-2012 –> 2013-2019 9.422939 11971.080
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.1892689 1366.33880 17.978067 2000-2012 –> 2013-2019 9.011928 11912.137
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7959510 1516.52604 17.124608 2000-2012 –> 2013-2019 9.385352 11952.607
Atlantic (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.8312116 1524.22098 17.606305 2000-2012 –> 2013-2019 9.525741 12010.224
Atlantic (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8339234 1524.80880 17.656352 2000-2012 –> 2013-2019 9.548047 12020.029
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.1958585 1366.18412 18.226894 2000-2012 –> 2013-2019 9.024812 11912.891
Atlantic (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.1954740 1368.07662 18.180305 2000-2012 –> 2013-2019 8.830113 11825.736
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 2.8274294 1521.40019 16.534334 2000-2012 –> 2013-2019 9.429978 11961.768
Atlantic (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8067370 1518.89013 16.102048 2000-2012 –> 2013-2019 9.405937 11959.658
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate 4.6332666 6477.31950 20.093313 1982-1999 –> 2000-2012 9.445741 10490.140
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.5777231 6452.90720 20.564644 1982-1999 –> 2000-2012 9.085247 10380.138
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.5376704 6433.66150 21.129764 1982-1999 –> 2000-2012 8.927137 10325.381
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.5340946 6431.93507 21.976729 1982-1999 –> 2000-2012 8.938329 10328.149
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.5544491 6441.74441 22.220184 1982-1999 –> 2000-2012 8.992721 10348.259
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.4724865 6401.97389 21.801275 1982-1999 –> 2000-2012 8.812749 10278.610
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.6817180 6500.10203 22.466572 1982-1999 –> 2000-2012 9.083928 10393.701
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.5679008 6448.20312 22.561193 1982-1999 –> 2000-2012 8.940572 10334.793
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 4.5681427 6446.31907 22.547624 1982-1999 –> 2000-2012 8.985775 10344.597
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 4.5721456 6448.23728 22.622534 1982-1999 –> 2000-2012 9.042711 10362.452
Atlantic (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.4505290 648.37643 8.446233 2000-2012 –> 2013-2019 7.028252 7101.284
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.8844679 576.40803 7.521298 2000-2012 –> 2013-2019 7.075036 7304.470
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.3757049 639.87977 7.919443 2000-2012 –> 2013-2019 6.913375 7073.541
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.2681370 627.18387 7.185549 2000-2012 –> 2013-2019 6.802232 7059.119
Atlantic (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.2503279 625.02396 6.971077 2000-2012 –> 2013-2019 6.804777 7066.768
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.9352966 581.70055 6.828522 2000-2012 –> 2013-2019 7.143439 7315.165
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.5236971 518.18143 6.374499 2000-2012 –> 2013-2019 5.996184 6920.155
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2303984 622.58654 6.719246 2000-2012 –> 2013-2019 6.798299 7070.790
Atlantic (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate_star 2.2800065 626.61401 7.070775 2000-2012 –> 2013-2019 6.848149 7072.933
Atlantic (26.5,26.75] cstar_tref ~ temp + silicate + phosphate + phosphate_star 2.2529211 623.33954 6.910547 2000-2012 –> 2013-2019 6.825067 7071.577
Atlantic (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.2967265 9152.81353 24.468790 1982-1999 –> 2000-2012 9.783683 15197.767
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.1145632 9051.15246 24.500412 1982-1999 –> 2000-2012 9.350363 14979.100
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.9191684 8935.77510 23.734599 1982-1999 –> 2000-2012 9.177760 14874.809
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.2955230 9154.14043 24.406250 1982-1999 –> 2000-2012 9.770772 15195.697
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.1138779 9050.75556 24.376260 1982-1999 –> 2000-2012 9.271644 14940.287
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.1471810 9069.98243 23.587607 1982-1999 –> 2000-2012 9.429630 15020.558
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.1637870 9079.52315 23.634860 1982-1999 –> 2000-2012 9.490887 15051.528
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.1636912 9077.46817 31.152192 1982-1999 –> 2000-2012 9.444575 15025.289
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.0031602 8985.92256 31.664305 1982-1999 –> 2000-2012 9.143323 14866.688
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.4404583 9234.11906 31.093564 1982-1999 –> 2000-2012 9.600146 15124.605
Atlantic (26.75,27] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.4513535 1162.52710 10.207625 2000-2012 –> 2013-2019 7.872068 10385.877
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate 2.6587424 1200.80871 8.724448 2000-2012 –> 2013-2019 7.773306 10249.961
Atlantic (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6387814 1199.07086 9.182694 2000-2012 –> 2013-2019 7.753345 10250.223
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3822591 1322.19127 11.403174 2000-2012 –> 2013-2019 8.301428 10257.966
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.6578420 1202.64072 8.886650 2000-2012 –> 2013-2019 7.771720 10253.396
Atlantic (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.6056812 1192.80981 8.287450 2000-2012 –> 2013-2019 7.752862 10262.792
Atlantic (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9940903 1261.72717 9.995246 2000-2012 –> 2013-2019 8.352602 10450.892
Atlantic (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.6151630 1194.61142 8.707756 2000-2012 –> 2013-2019 7.778950 10274.135
Atlantic (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.0485314 1073.48658 6.616544 2000-2012 –> 2013-2019 7.051692 10059.409
Atlantic (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9276385 1250.59478 10.980906 2000-2012 –> 2013-2019 8.368097 10484.714
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate 4.4171621 10878.39937 35.531264 1982-1999 –> 2000-2012 8.181996 17420.648
Atlantic (27,27.25] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.3813789 10849.96217 34.178001 1982-1999 –> 2000-2012 7.782476 17152.390
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 4.3195479 10796.77808 36.493502 1982-1999 –> 2000-2012 8.077587 17336.728
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.3189195 10798.23368 36.232993 1982-1999 –> 2000-2012 7.653348 17055.544
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.2823609 10766.42373 36.681968 1982-1999 –> 2000-2012 8.047080 17312.600
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate 4.3952580 10861.79714 34.528175 1982-1999 –> 2000-2012 7.919741 17249.037
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.3715451 10843.55404 34.173756 1982-1999 –> 2000-2012 7.744305 17128.068
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.3191275 10798.41386 36.695235 1982-1999 –> 2000-2012 7.806114 17162.198
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3485672 10823.83328 35.727366 1982-1999 –> 2000-2012 8.228040 17441.471
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.5006593 10952.47378 43.778807 1982-1999 –> 2000-2012 8.254744 17491.918
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 3.2633366 2056.92731 13.414755 2000-2012 –> 2013-2019 7.582884 12853.705
Atlantic (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.1526206 2031.79764 14.263328 2000-2012 –> 2013-2019 7.471540 12830.031
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.5718281 1871.75464 12.271555 2000-2012 –> 2013-2019 7.640100 13268.688
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1982984 2043.10415 13.294639 2000-2012 –> 2013-2019 7.517426 12841.518
Atlantic (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3241560 2073.44132 14.080945 2000-2012 –> 2013-2019 7.672723 12897.275
Atlantic (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.4313645 2098.39068 13.880860 2000-2012 –> 2013-2019 7.795579 12935.665
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3428631 2077.85222 14.085766 2000-2012 –> 2013-2019 7.694781 12904.568
Atlantic (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate_star 3.6040242 2134.97781 12.315822 2000-2012 –> 2013-2019 7.982820 12982.733
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate 2.7137923 1911.98644 12.607000 2000-2012 –> 2013-2019 7.795255 13316.646
Atlantic (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.6747517 1902.59694 12.508261 2000-2012 –> 2013-2019 7.175411 12855.071
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.9591664 18670.64853 28.967610 1982-1999 –> 2000-2012 7.313641 25476.563
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.8940396 18590.97775 29.231835 1982-1999 –> 2000-2012 6.994569 25058.106
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.7307545 18381.33752 27.521101 1982-1999 –> 2000-2012 7.278293 25424.579
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate 4.8492237 18532.14382 30.220123 1982-1999 –> 2000-2012 7.331146 25495.468
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.8132686 18488.16558 30.637074 1982-1999 –> 2000-2012 7.292758 25450.562
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.8414201 18524.19385 29.385790 1982-1999 –> 2000-2012 6.852330 24861.126
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.8032083 18475.23942 29.546337 1982-1999 –> 2000-2012 6.859729 24879.142
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.8631714 18551.88786 30.617083 1982-1999 –> 2000-2012 6.943233 24989.777
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.8184184 18492.77208 30.805602 1982-1999 –> 2000-2012 7.384988 25556.237
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.7993866 18470.32190 29.507237 1982-1999 –> 2000-2012 6.867681 24891.271
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.5019348 2952.98647 20.831197 2000-2012 –> 2013-2019 9.461101 21623.635
Atlantic (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4063878 2933.40575 16.814219 2000-2012 –> 2013-2019 9.300427 21524.384
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2590053 2899.18201 15.283171 2000-2012 –> 2013-2019 9.100425 21423.376
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.1671314 2877.24342 16.595773 2000-2012 –> 2013-2019 8.970340 21352.483
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.1564438 2874.65998 16.529503 2000-2012 –> 2013-2019 9.019615 21426.548
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.1708267 2878.13512 16.537958 2000-2012 –> 2013-2019 8.970213 21348.457
Atlantic (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate_star 4.2185301 2887.57583 17.756924 2000-2012 –> 2013-2019 9.367810 21790.636
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.1035562 2861.77726 17.205184 2000-2012 –> 2013-2019 9.297071 21819.683
Atlantic (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.2644565 2900.46879 14.069789 2000-2012 –> 2013-2019 9.450714 21849.735
Atlantic (27.25,27.5] cstar_tref ~ temp + nitrate + silicate + phosphate_star 4.2529086 2895.74091 12.732687 2000-2012 –> 2013-2019 9.446923 21852.241
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.1130581 24982.99058 36.482774 1982-1999 –> 2000-2012 6.129552 36851.702
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.1039024 24965.34855 35.835929 1982-1999 –> 2000-2012 5.963741 36383.832
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.8516911 24406.31173 28.781201 1982-1999 –> 2000-2012 5.501818 35155.780
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 4.2304064 25230.93945 37.223409 1982-1999 –> 2000-2012 6.166240 36871.372
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.0409756 24829.15316 36.106457 1982-1999 –> 2000-2012 5.957891 36416.669
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2180720 25207.20316 36.450656 1982-1999 –> 2000-2012 5.967920 36284.792
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3971963 25573.76862 36.631756 1982-1999 –> 2000-2012 6.096400 36487.127
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.5051595 25787.56238 36.843892 1982-1999 –> 2000-2012 6.200934 36689.623
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + phosphate + phosphate_star 4.3911483 25559.63731 37.792534 1982-1999 –> 2000-2012 6.313545 37161.121
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3730952 25525.32598 36.830414 1982-1999 –> 2000-2012 6.072230 36438.457
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 3.9548328 5130.38239 13.076542 2000-2012 –> 2013-2019 8.067891 30113.373
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate 3.8195634 5066.62475 13.452432 2000-2012 –> 2013-2019 8.380073 30959.816
Atlantic (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.6382915 4979.54943 10.710871 2000-2012 –> 2013-2019 7.742194 29944.898
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.9863640 5146.93069 12.695394 2000-2012 –> 2013-2019 7.838055 29553.242
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate 4.0215408 5161.02586 11.732279 2000-2012 –> 2013-2019 8.251947 30391.965
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.9254066 5118.70034 13.746714 2000-2012 –> 2013-2019 7.966382 29947.854
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.6702145 4995.55361 11.319680 2000-2012 –> 2013-2019 7.888287 30202.757
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.7406773 5030.39196 11.954058 2000-2012 –> 2013-2019 8.137874 30604.161
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.8059489 5062.08312 12.422036 2000-2012 –> 2013-2019 8.311108 30849.645
Atlantic (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.7278858 5024.11660 11.815383 2000-2012 –> 2013-2019 8.100981 30549.443
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.5614215 8727.99641 12.605780 1982-1999 –> 2000-2012 3.955599 12144.413
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + phosphate + phosphate_star 2.7576582 9000.68550 12.278044 1982-1999 –> 2000-2012 4.206866 12492.359
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.5517546 8716.02868 13.093386 1982-1999 –> 2000-2012 3.710755 11775.298
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.0152793 7844.15821 12.060275 1982-1999 –> 2000-2012 2.902905 10384.839
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7824553 9035.75382 13.909011 1982-1999 –> 2000-2012 4.047275 12264.873
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.9000094 9188.61240 14.064587 1982-1999 –> 2000-2012 4.259070 12557.436
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 2.9281001 9224.22177 14.042224 1982-1999 –> 2000-2012 4.287488 12593.514
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.8849105 9169.32931 14.041757 1982-1999 –> 2000-2012 4.243352 12537.268
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.2368037 8227.40593 12.628386 1982-1999 –> 2000-2012 3.368555 11238.425
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.2142908 8192.03834 11.902434 1982-1999 –> 2000-2012 3.331203 11179.399
Atlantic (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.6784786 1170.22215 6.801397 2000-2012 –> 2013-2019 4.239900 9898.219
Atlantic (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6513015 1162.46038 7.107183 2000-2012 –> 2013-2019 4.203056 9878.489
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.1062984 922.93499 3.761883 2000-2012 –> 2013-2019 4.159384 10301.562
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.0638106 899.51597 6.671283 2000-2012 –> 2013-2019 3.079090 8743.674
Atlantic (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8640996 1234.94658 7.313858 2000-2012 –> 2013-2019 4.646555 10270.700
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + phosphate_star 1.4311719 1074.90443 5.061535 2000-2012 –> 2013-2019 4.484312 10451.598
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4279804 1075.56938 4.979376 2000-2012 –> 2013-2019 4.268509 10187.628
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2811251 1008.67295 8.086958 2000-2012 –> 2013-2019 3.517929 9236.079
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 1.9039693 1245.60185 6.993639 2000-2012 –> 2013-2019 4.703493 10301.946
Atlantic (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2039595 973.52342 5.926572 2000-2012 –> 2013-2019 3.418250 9165.562
Atlantic (27.85,27.95] cstar_tref ~ aou + silicate + phosphate + phosphate_star 3.1653803 8743.83510 11.811701 1982-1999 –> 2000-2012 4.841029 12757.702
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0972611 8671.95509 12.884608 1982-1999 –> 2000-2012 4.572574 12424.504
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.4675980 9055.51268 13.994604 1982-1999 –> 2000-2012 4.939429 12803.174
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 2.8280785 8363.18844 11.004209 1982-1999 –> 2000-2012 4.052961 11731.037
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1667061 8747.25711 13.686501 1982-1999 –> 2000-2012 4.700030 12579.563
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.2119691 8795.45394 13.916054 1982-1999 –> 2000-2012 4.798349 12698.106
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.2177730 8801.58485 13.963750 1982-1999 –> 2000-2012 4.807692 12708.846
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1983666 8781.04153 13.858031 1982-1999 –> 2000-2012 4.782537 12680.812
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 2.8814732 8424.70784 11.106110 1982-1999 –> 2000-2012 4.170347 11895.866
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.8771405 8421.59764 10.952656 1982-1999 –> 2000-2012 4.165748 11894.328
Atlantic (27.85,27.95] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2059884 775.35681 5.617138 2000-2012 –> 2013-2019 4.303249 9447.312
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9606352 667.54078 6.282866 2000-2012 –> 2013-2019 4.428233 9723.053
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.9361756 655.31553 7.162297 2000-2012 –> 2013-2019 3.764254 9018.504
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2651618 798.06168 5.726595 2000-2012 –> 2013-2019 4.431868 9545.319
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3181730 817.51780 5.921254 2000-2012 –> 2013-2019 4.530142 9612.972
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.3460687 827.44409 6.131436 2000-2012 –> 2013-2019 4.563842 9629.029
Atlantic (27.85,27.95] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3078552 813.79302 5.849952 2000-2012 –> 2013-2019 4.506222 9594.835
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2611551 796.55817 8.124087 2000-2012 –> 2013-2019 4.579179 9702.332
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.2398335 786.47601 7.834691 2000-2012 –> 2013-2019 4.121307 9211.184
Atlantic (27.85,27.95] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2395617 788.37209 7.781514 2000-2012 –> 2013-2019 4.116702 9209.970
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.0197917 11862.33381 20.409657 1982-1999 –> 2000-2012 9.011900 19078.707
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 5.0100438 11856.73748 20.374233 1982-1999 –> 2000-2012 8.789692 18934.561
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.9600792 10937.65161 21.114843 1982-1999 –> 2000-2012 6.227252 16701.955
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.0137577 11859.63342 20.490925 1982-1999 –> 2000-2012 8.951441 19042.729
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 5.0118552 11858.15023 20.333843 1982-1999 –> 2000-2012 8.789752 18934.782
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.0147262 11860.38824 20.299780 1982-1999 –> 2000-2012 8.793659 18937.725
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.1063054 11931.11250 20.340371 1982-1999 –> 2000-2012 8.711346 18887.380
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0138417 11859.69885 20.311385 1982-1999 –> 2000-2012 8.793287 18937.385
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 4.0935211 11065.16852 20.632938 1982-1999 –> 2000-2012 6.464733 16942.782
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.4445779 10392.63158 26.499487 1982-1999 –> 2000-2012 5.191113 15486.423
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.8477903 679.03040 3.720924 2000-2012 –> 2013-2019 5.867582 12541.364
Atlantic (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.7027588 581.21681 2.641496 2000-2012 –> 2013-2019 5.712803 12437.954
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6092681 505.27097 2.820208 2000-2012 –> 2013-2019 4.569347 11442.923
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4224730 310.48830 1.834568 2000-2012 –> 2013-2019 5.436231 12170.122
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.7699763 629.81290 3.257341 2000-2012 –> 2013-2019 5.781832 12487.963
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.8217285 664.41966 3.542505 2000-2012 –> 2013-2019 5.836455 12524.808
Atlantic (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.8126084 658.48212 3.517885 2000-2012 –> 2013-2019 5.826450 12518.181
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.9829693 757.73693 3.377783 2000-2012 –> 2013-2019 5.076490 11822.905
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.8078109 655.33196 4.057781 2000-2012 –> 2013-2019 4.252389 11047.964
Atlantic (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.6892016 570.85350 3.731302 2000-2012 –> 2013-2019 5.874483 12561.946
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 1.4547274 3947.50296 10.647254 1982-1999 –> 2000-2012 2.169645 5530.362
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.4335612 3917.34586 10.045293 1982-1999 –> 2000-2012 2.147715 5500.653
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 1.4778810 3982.14796 10.363514 1982-1999 –> 2000-2012 2.200587 5580.717
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3824916 3837.76007 11.300346 1982-1999 –> 2000-2012 2.060432 5345.613
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.4625528 3961.27353 9.801910 1982-1999 –> 2000-2012 2.184382 5560.082
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.4832548 3992.11118 9.739228 1982-1999 –> 2000-2012 2.217653 5615.952
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.4746403 3979.33171 9.642862 1982-1999 –> 2000-2012 2.205474 5596.117
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4126694 3885.13662 8.656792 1982-1999 –> 2000-2012 2.213167 5633.941
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3827446 3836.16148 11.333973 1982-1999 –> 2000-2012 2.079381 5381.459
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2354526 3591.04476 9.911459 1982-1999 –> 2000-2012 1.865486 4992.632
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.4263691 222.73382 1.817790 2000-2012 –> 2013-2019 1.881096 4170.237
Atlantic (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.4172532 216.69406 1.746614 2000-2012 –> 2013-2019 1.850814 4134.040
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4481200 243.24287 1.803369 2000-2012 –> 2013-2019 1.941337 4250.040
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate 0.4631647 253.52694 2.006162 2000-2012 –> 2013-2019 1.941046 4235.675
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3350470 135.06887 1.517508 2000-2012 –> 2013-2019 1.717539 3972.829
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4462908 241.72128 1.897966 2000-2012 –> 2013-2019 1.908844 4202.995
Atlantic (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4661635 257.92773 1.974145 2000-2012 –> 2013-2019 1.940804 4237.259
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4676091 259.07956 2.312305 2000-2012 –> 2013-2019 1.880278 4144.216
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4489169 241.90380 2.596623 2000-2012 –> 2013-2019 1.831661 4078.065
Atlantic (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.3361142 136.25195 2.342546 2000-2012 –> 2013-2019 1.571567 3727.297
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.3132228 5302.77062 11.712914 1982-1999 –> 2000-2012 1.997526 7075.828
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2955374 5262.35892 10.203610 1982-1999 –> 2000-2012 1.909983 6855.003
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 1.3197918 5320.37831 12.560772 1982-1999 –> 2000-2012 1.983473 7043.599
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.3083688 5293.18720 10.020747 1982-1999 –> 2000-2012 1.932937 6913.511
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.3226012 5327.02985 9.871530 1982-1999 –> 2000-2012 1.961659 6986.207
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.3126104 5303.31145 10.024714 1982-1999 –> 2000-2012 1.946252 6948.068
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.2032252 5031.13734 9.516741 1982-1999 –> 2000-2012 1.874728 6774.206
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 1.3262336 5333.60889 11.278582 1982-1999 –> 2000-2012 1.995514 7069.062
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate 1.3344027 5352.81701 11.833878 1982-1999 –> 2000-2012 2.052718 7208.045
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.1245324 4819.56476 13.624090 1982-1999 –> 2000-2012 1.629827 6080.899
Atlantic (28.1,28.15] cstar_tref ~ aou + silicate + phosphate + phosphate_star 0.4807854 397.87163 1.701187 2000-2012 –> 2013-2019 1.794008 5700.642
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + phosphate + phosphate_star 0.3998080 294.21821 1.714784 2000-2012 –> 2013-2019 1.777723 5747.407
Atlantic (28.1,28.15] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.3815502 269.94920 1.436530 2000-2012 –> 2013-2019 1.677088 5532.308
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.3887590 280.46832 1.692522 2000-2012 –> 2013-2019 1.708551 5600.847
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate 0.4002484 296.83702 1.481516 2000-2012 –> 2013-2019 1.708617 5590.024
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 0.4158835 318.37275 1.537105 2000-2012 –> 2013-2019 1.738485 5645.403
Atlantic (28.1,28.15] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 0.4137328 315.45889 1.519565 2000-2012 –> 2013-2019 1.726343 5618.770
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5255398 449.89241 1.683488 2000-2012 –> 2013-2019 1.728765 5481.030
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + phosphate + phosphate_star 0.4077170 305.22721 1.688664 2000-2012 –> 2013-2019 1.733951 5638.836
Atlantic (28.1,28.15] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.2744672 84.82047 1.106591 2000-2012 –> 2013-2019 1.399000 4904.385
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + phosphate_star 1.0048762 8438.06575 11.529384 1982-1999 –> 2000-2012 1.652106 11389.914
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.9937731 8374.31211 12.347998 1982-1999 –> 2000-2012 1.640860 11327.501
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.9600630 8168.08193 11.799345 1982-1999 –> 2000-2012 1.614205 11151.671
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.9555765 8142.36133 12.557384 1982-1999 –> 2000-2012 1.601177 11088.679
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.9583722 8159.65070 12.322192 1982-1999 –> 2000-2012 1.610870 11137.718
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.7654124 6829.15714 25.068393 1982-1999 –> 2000-2012 1.549113 10354.687
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.9576736 8153.33518 13.326828 1982-1999 –> 2000-2012 1.669683 11390.207
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.9653568 8200.62438 13.849154 1982-1999 –> 2000-2012 1.691710 11497.093
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.9572758 8152.87609 13.210791 1982-1999 –> 2000-2012 1.668265 11387.463
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.8182781 7224.40533 13.529439 1982-1999 –> 2000-2012 1.621210 10822.370
Atlantic (28.15,28.2] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 0.6300402 852.30295 2.305260 2000-2012 –> 2013-2019 1.590185 9022.891
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate 0.6239024 841.72720 3.036867 2000-2012 –> 2013-2019 1.583965 9009.809
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.5615290 751.45775 2.155762 2000-2012 –> 2013-2019 1.517105 8893.819
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.5133397 672.85813 2.227856 2000-2012 –> 2013-2019 1.471712 8832.509
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 0.4814343 616.64679 1.609427 2000-2012 –> 2013-2019 1.246847 7445.804
Atlantic (28.15,28.2] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.6623921 896.16790 2.049116 2000-2012 –> 2013-2019 1.621672 9061.418
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + phosphate_star 0.5629556 751.68037 2.198056 2000-2012 –> 2013-2019 1.520629 8905.016
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate 0.5161089 675.57093 2.256539 2000-2012 –> 2013-2019 1.481466 8876.195
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.5115462 669.79214 2.300235 2000-2012 –> 2013-2019 1.468822 8822.668
Atlantic (28.15,28.2] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 0.7441485 998.11927 1.716072 2000-2012 –> 2013-2019 1.562427 8222.525
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.6790836 12178.48882 4.592119 1982-1999 –> 2000-2012 1.226230 16168.451
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.6784036 12168.67486 4.515678 1982-1999 –> 2000-2012 1.196928 15898.543
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.6615632 11872.26055 4.324570 1982-1999 –> 2000-2012 1.196177 15751.188
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.6380153 11446.88016 4.659857 1982-1999 –> 2000-2012 1.145340 15072.234
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.6786319 12172.64357 4.494297 1982-1999 –> 2000-2012 1.220970 16121.548
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.6783961 12170.54493 4.526988 1982-1999 –> 2000-2012 1.189030 15827.608
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.6572459 11797.05538 4.595773 1982-1999 –> 2000-2012 1.191738 15676.874
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 0.7749638 13739.88315 4.422812 1982-1999 –> 2000-2012 1.459062 18823.517
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.8108738 14272.01531 11.140337 1982-1999 –> 2000-2012 1.532409 19613.543
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.7986185 14094.43368 12.124359 1982-1999 –> 2000-2012 1.510631 19373.154
Atlantic (28.2, Inf] cstar_tref ~ aou + nitrate + silicate + phosphate_star 0.4458160 978.74367 1.538381 2000-2012 –> 2013-2019 1.254131 15213.485
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate 0.4506724 993.88385 2.046711 2000-2012 –> 2013-2019 1.129756 13172.373
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + phosphate_star 0.4409828 961.49908 1.944336 2000-2012 –> 2013-2019 1.119386 13130.174
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate 0.4407081 960.51352 1.854108 2000-2012 –> 2013-2019 1.102271 12832.774
Atlantic (28.2, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 0.4233212 898.83557 1.581426 2000-2012 –> 2013-2019 1.061336 12345.716
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate 0.4502232 994.30616 1.975999 2000-2012 –> 2013-2019 1.128855 13166.950
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 0.4346959 940.78301 2.349753 2000-2012 –> 2013-2019 1.113092 13111.328
Atlantic (28.2, Inf] cstar_tref ~ sal + temp + aou + nitrate + silicate 0.4406752 962.39520 1.836676 2000-2012 –> 2013-2019 1.097921 12759.451
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate 0.4647309 1044.47924 1.546694 2000-2012 –> 2013-2019 1.275605 15316.495
Atlantic (28.2, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 0.4148638 866.90922 1.651834 2000-2012 –> 2013-2019 1.213482 14961.343
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 13.1587004 99898.55833 53.590603 1982-1999 –> 2000-2012 22.772737 153112.445
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 13.2466449 100065.06023 51.803158 1982-1999 –> 2000-2012 22.886643 153317.909
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate_star 13.3947168 100340.91724 53.395037 1982-1999 –> 2000-2012 23.057914 153626.494
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 13.5138135 100564.18236 54.128329 1982-1999 –> 2000-2012 23.227193 153926.597
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 13.3946932 100342.87319 53.392286 1982-1999 –> 2000-2012 23.025098 153581.337
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 13.2554707 100079.70865 53.325605 1982-1999 –> 2000-2012 22.919075 153365.895
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 13.2360242 100045.01134 53.447087 1982-1999 –> 2000-2012 22.895623 153327.207
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + phosphate + phosphate_star 13.4141373 100377.13163 53.527181 1982-1999 –> 2000-2012 23.076715 153661.782
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 13.4129275 100376.87718 53.495782 1982-1999 –> 2000-2012 23.038201 153607.642
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 13.4589480 100460.49303 53.484451 1982-1999 –> 2000-2012 23.119280 153741.786
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate 12.2006239 69560.35055 58.638680 2000-2012 –> 2013-2019 25.743295 170175.854
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 12.1932226 69551.58563 58.499301 2000-2012 –> 2013-2019 25.351923 169450.144
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + nitrate + silicate 12.1213164 69446.65919 58.156440 2000-2012 –> 2013-2019 25.658172 170053.425
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 12.5790217 70104.19034 62.876128 2000-2012 –> 2013-2019 25.825667 170169.251
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate 12.4772261 69960.04550 59.592584 2000-2012 –> 2013-2019 25.991040 170524.228
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 12.5068200 70002.07210 57.817986 2000-2012 –> 2013-2019 25.901513 170344.945
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + phosphate_star 12.5697517 70089.11216 58.354337 2000-2012 –> 2013-2019 25.825222 170168.821
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 12.5509763 70064.59420 58.127398 2000-2012 –> 2013-2019 25.787001 170109.606
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 12.5152472 70014.02139 57.490699 2000-2012 –> 2013-2019 25.928175 170390.899
Indo-Pacific (-Inf,26] cstar_tref ~ sal + temp + silicate + phosphate_star 12.5549483 70068.20744 58.055458 2000-2012 –> 2013-2019 26.013896 170528.700
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + phosphate + phosphate_star 7.1970323 30070.50060 26.213314 1982-1999 –> 2000-2012 12.643678 44113.907
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.7869061 29552.65268 22.163889 1982-1999 –> 2000-2012 12.029690 43426.168
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate 7.6081500 30562.68496 27.806681 1982-1999 –> 2000-2012 13.071302 44619.727
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 7.1570562 30023.15028 26.154831 1982-1999 –> 2000-2012 12.529603 44006.835
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 7.0151537 29845.71883 23.698237 1982-1999 –> 2000-2012 12.089450 43572.046
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 7.1387408 30000.44787 22.995216 1982-1999 –> 2000-2012 12.279950 43785.806
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 7.3026672 30201.59868 22.896652 1982-1999 –> 2000-2012 12.795619 44285.152
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 7.1725855 30042.35379 23.045502 1982-1999 –> 2000-2012 12.330552 43842.375
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate_star 7.4167284 30336.91451 26.778084 1982-1999 –> 2000-2012 12.950198 44451.584
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 7.2307297 30113.88744 24.922143 1982-1999 –> 2000-2012 13.102140 44497.672
Indo-Pacific (26,26.5] cstar_tref ~ aou + silicate + phosphate + phosphate_star 6.5643024 15993.43150 26.814683 2000-2012 –> 2013-2019 13.971129 46318.510
Indo-Pacific (26,26.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.3018733 15797.88125 37.143173 2000-2012 –> 2013-2019 13.088779 45350.534
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.1481782 15678.32680 26.218202 2000-2012 –> 2013-2019 13.163332 45524.046
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1390276 15671.11490 26.573407 2000-2012 –> 2013-2019 13.277768 45671.563
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.1570562 15685.31364 25.635170 2000-2012 –> 2013-2019 13.459723 45886.912
Indo-Pacific (26,26.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1380031 15670.30677 26.850983 2000-2012 –> 2013-2019 13.310589 45712.661
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.3374022 15825.10294 28.099700 2000-2012 –> 2013-2019 14.074839 46539.083
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate 6.5158307 15957.54487 27.837547 2000-2012 –> 2013-2019 14.128953 46526.019
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6.5120130 15956.70699 28.187878 2000-2012 –> 2013-2019 13.742743 46070.594
Indo-Pacific (26,26.5] cstar_tref ~ temp + aou + silicate + phosphate_star 6.5120329 15954.72182 28.162824 2000-2012 –> 2013-2019 14.254924 46672.945
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 5.2867994 20015.80701 21.960977 1982-1999 –> 2000-2012 9.429456 29537.051
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + phosphate + phosphate_star 5.1788895 19882.05028 18.065663 1982-1999 –> 2000-2012 9.622618 29638.178
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.9448001 19584.04614 17.705092 1982-1999 –> 2000-2012 9.033838 29063.674
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 5.1784116 19883.45180 18.056829 1982-1999 –> 2000-2012 9.618469 29638.812
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.9874084 19639.69520 17.896114 1982-1999 –> 2000-2012 9.032093 29082.808
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 5.0602321 19733.71586 17.437225 1982-1999 –> 2000-2012 9.178314 29237.039
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.0513104 19722.27027 17.653567 1982-1999 –> 2000-2012 9.258854 29297.547
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 5.0597782 19733.13404 17.374516 1982-1999 –> 2000-2012 9.184093 29241.521
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 5.0603489 19731.86552 17.489840 1982-1999 –> 2000-2012 9.268845 29305.901
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 5.1254441 19816.76797 19.385333 1982-1999 –> 2000-2012 9.265559 29337.956
Indo-Pacific (26.5,26.75] cstar_tref ~ aou + silicate + phosphate + phosphate_star 4.4667084 10333.18966 35.084163 2000-2012 –> 2013-2019 9.753508 30348.997
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.4382377 10312.55355 38.668039 2000-2012 –> 2013-2019 9.383038 29896.600
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.3605342 10250.02723 36.957501 2000-2012 –> 2013-2019 9.347943 29889.722
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.3551404 10245.64561 35.651360 2000-2012 –> 2013-2019 9.415373 29979.361
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 4.2147293 10129.63463 33.814976 2000-2012 –> 2013-2019 9.266040 29851.905
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.3555335 10245.96515 35.504554 2000-2012 –> 2013-2019 9.415312 29979.099
Indo-Pacific (26.5,26.75] cstar_tref ~ sal + temp + silicate + phosphate_star 4.4624870 10329.84245 39.847396 2000-2012 –> 2013-2019 9.522836 30061.708
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3559053 10246.26732 27.232863 2000-2012 –> 2013-2019 10.022920 30714.523
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate 4.4622212 10329.63160 31.148273 2000-2012 –> 2013-2019 9.962152 30601.781
Indo-Pacific (26.5,26.75] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4559777 10326.67505 32.863828 2000-2012 –> 2013-2019 9.581422 30143.443
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 4.7094296 22162.98676 49.302189 1982-1999 –> 2000-2012 9.203577 34229.981
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.7091200 22164.49624 49.253594 1982-1999 –> 2000-2012 9.115251 34151.882
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 4.9255226 22499.75882 42.995634 1982-1999 –> 2000-2012 8.802882 33959.666
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 4.6614957 22088.64726 50.595520 1982-1999 –> 2000-2012 9.147074 34149.767
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + phosphate_star 5.0906702 22743.84890 41.945876 1982-1999 –> 2000-2012 9.233881 34475.379
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 5.0704314 22716.12349 41.923487 1982-1999 –> 2000-2012 9.210963 34446.984
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + phosphate_star 5.1568907 22840.29024 33.739272 1982-1999 –> 2000-2012 9.095237 34362.590
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 5.1546927 22839.10909 33.826146 1982-1999 –> 2000-2012 9.003068 34268.057
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 4.7586475 22240.56686 46.134119 1982-1999 –> 2000-2012 9.250161 34305.142
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.7585806 22242.46198 46.114377 1982-1999 –> 2000-2012 9.148917 34215.031
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + phosphate + phosphate_star 6.4596008 13084.33410 28.800539 2000-2012 –> 2013-2019 11.169030 35247.321
Indo-Pacific (26.75,27] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.2740441 12970.33148 31.127619 2000-2012 –> 2013-2019 10.983164 35134.828
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.3504553 13018.51085 28.586408 2000-2012 –> 2013-2019 11.275978 35518.270
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate 6.4502150 13085.11303 29.408662 2000-2012 –> 2013-2019 11.387559 35600.760
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 6.3752625 13034.02792 26.094078 2000-2012 –> 2013-2019 11.036758 35122.675
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.2788256 12979.87578 32.194825 2000-2012 –> 2013-2019 11.207186 35483.932
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.2041465 12925.74243 31.123360 2000-2012 –> 2013-2019 11.286967 35660.076
Indo-Pacific (26.75,27] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.2130985 12931.48110 31.274183 2000-2012 –> 2013-2019 11.264514 35619.567
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + phosphate + phosphate_star 6.3953256 13044.53340 26.487397 2000-2012 –> 2013-2019 11.153973 35285.100
Indo-Pacific (26.75,27] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6.1148108 12868.01640 28.068589 2000-2012 –> 2013-2019 10.873391 35110.478
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 6.2841491 33202.51391 35.190952 1982-1999 –> 2000-2012 9.801067 46149.476
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.1263075 32943.29823 28.897864 1982-1999 –> 2000-2012 10.156091 46548.029
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.1292691 32948.22305 29.650943 1982-1999 –> 2000-2012 10.074050 46449.939
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + phosphate_star 6.3910384 33372.38157 38.912146 1982-1999 –> 2000-2012 10.113662 46592.012
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 6.3412307 33294.65611 38.831876 1982-1999 –> 2000-2012 9.983051 46410.248
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.1246828 32940.59549 29.495963 1982-1999 –> 2000-2012 10.070027 46443.001
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + phosphate_star 6.3763187 33348.88519 37.368726 1982-1999 –> 2000-2012 9.983352 46416.100
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.1636798 33005.27139 34.016271 1982-1999 –> 2000-2012 9.757763 46057.107
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6.2267499 33109.01108 32.000793 1982-1999 –> 2000-2012 10.224423 46675.084
Indo-Pacific (27,27.25] cstar_tref ~ temp + nitrate + silicate + phosphate_star 6.3992489 33385.46417 40.147841 1982-1999 –> 2000-2012 10.126080 46610.553
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate 6.7236326 18902.19028 24.751235 2000-2012 –> 2013-2019 12.852403 51847.585
Indo-Pacific (27,27.25] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 6.6868621 18873.03107 23.180869 2000-2012 –> 2013-2019 12.814747 51818.953
Indo-Pacific (27,27.25] cstar_tref ~ sal + silicate + phosphate + phosphate_star 6.6937693 18876.89725 22.942149 2000-2012 –> 2013-2019 13.017252 52140.994
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate 6.6968138 18881.48094 23.635866 2000-2012 –> 2013-2019 12.823121 51824.779
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 6.6780413 18865.53080 22.763790 2000-2012 –> 2013-2019 12.807310 51813.754
Indo-Pacific (27,27.25] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 6.6824371 18869.26975 23.017231 2000-2012 –> 2013-2019 12.807120 51809.865
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 6.8114976 18977.96214 26.287851 2000-2012 –> 2013-2019 12.975177 51983.234
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 6.8068716 18974.10197 24.526755 2000-2012 –> 2013-2019 13.033622 52083.113
Indo-Pacific (27,27.25] cstar_tref ~ temp + aou + silicate + phosphate_star 6.8181755 18981.52996 25.424923 2000-2012 –> 2013-2019 13.045186 52088.967
Indo-Pacific (27,27.25] cstar_tref ~ temp + silicate + phosphate + phosphate_star 6.8244379 18986.74646 25.605639 2000-2012 –> 2013-2019 13.053373 52097.333
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.1967773 37157.67959 25.342333 1982-1999 –> 2000-2012 7.411384 52717.407
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.3802000 37712.55654 18.328274 1982-1999 –> 2000-2012 7.455356 53003.745
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2489213 37318.42860 23.650125 1982-1999 –> 2000-2012 7.316724 52597.229
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2697065 37379.95572 25.751650 1982-1999 –> 2000-2012 7.515616 52995.923
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.2500236 37319.80538 23.146077 1982-1999 –> 2000-2012 7.437436 52826.474
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2636264 37363.40484 23.190084 1982-1999 –> 2000-2012 7.318573 52616.965
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2453026 37307.33663 23.563596 1982-1999 –> 2000-2012 7.286378 52533.546
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2497539 37320.97931 23.385573 1982-1999 –> 2000-2012 7.289432 52544.426
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.4019460 37779.02608 19.264594 1982-1999 –> 2000-2012 7.341746 52801.680
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4885237 38032.57945 20.392329 1982-1999 –> 2000-2012 7.650754 53493.578
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 4.1720254 21984.07664 22.298965 2000-2012 –> 2013-2019 8.368803 59141.756
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate 4.4962899 22559.62671 19.437273 2000-2012 –> 2013-2019 8.876490 60272.183
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 4.2203666 22072.96785 20.235599 2000-2012 –> 2013-2019 8.469288 59391.396
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + aou + silicate + phosphate_star 4.2288590 22086.47871 20.203574 2000-2012 –> 2013-2019 8.498565 59466.434
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + silicate + phosphate + phosphate_star 4.3051993 22224.52725 19.775806 2000-2012 –> 2013-2019 8.555223 59544.333
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate 4.2512990 22129.31467 20.672342 2000-2012 –> 2013-2019 8.514925 59492.720
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 4.2246426 22080.78159 20.294401 2000-2012 –> 2013-2019 8.469945 59388.118
Indo-Pacific (27.25,27.5] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 4.2368308 22103.01040 20.459691 2000-2012 –> 2013-2019 8.486585 59423.990
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 4.3569161 22318.66448 21.029598 2000-2012 –> 2013-2019 8.758862 60097.691
Indo-Pacific (27.25,27.5] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 4.4266645 22441.20904 18.260031 2000-2012 –> 2013-2019 8.915188 60473.788
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.4658086 39340.68171 25.104752 1982-1999 –> 2000-2012 5.831159 54844.083
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.3627429 38894.66956 27.621860 1982-1999 –> 2000-2012 5.836753 54703.218
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.4786252 39393.21542 24.788124 1982-1999 –> 2000-2012 6.003452 55337.901
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + nitrate + silicate + phosphate_star 3.8061054 40722.42168 23.045286 1982-1999 –> 2000-2012 6.182039 56254.154
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.5832077 39830.83972 23.263025 1982-1999 –> 2000-2012 6.097365 55746.752
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.3400741 38794.73816 27.292661 1982-1999 –> 2000-2012 5.811389 54595.882
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.3460325 38821.07061 27.472368 1982-1999 –> 2000-2012 5.870832 54767.680
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 3.7012529 40311.70889 25.452302 1982-1999 –> 2000-2012 6.074961 55839.074
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.3558240 38862.24048 27.945028 1982-1999 –> 2000-2012 5.933765 54948.366
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.3410541 38799.07238 27.344761 1982-1999 –> 2000-2012 5.853993 54713.691
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.5542751 22295.34747 14.710276 2000-2012 –> 2013-2019 7.020084 61636.029
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.0887397 21131.25038 15.643544 2000-2012 –> 2013-2019 6.451483 60025.920
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + aou + silicate + phosphate_star 3.5759895 22343.85244 13.644592 2000-2012 –> 2013-2019 7.054615 61737.068
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + silicate + phosphate + phosphate_star 3.8449738 22945.22858 13.292531 2000-2012 –> 2013-2019 7.428182 62776.068
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.3047003 21691.64554 18.100978 2000-2012 –> 2013-2019 6.908650 61609.758
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate 3.3071739 21695.84988 18.076957 2000-2012 –> 2013-2019 6.937584 61720.039
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate 3.1053487 21175.71924 16.241368 2000-2012 –> 2013-2019 6.445423 59970.457
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 3.1017635 21166.14034 16.146399 2000-2012 –> 2013-2019 6.447796 59987.211
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate 3.2334684 21508.95951 14.368214 2000-2012 –> 2013-2019 6.589292 60371.200
Indo-Pacific (27.5,27.75] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 3.1074608 21181.35711 16.277258 2000-2012 –> 2013-2019 6.448515 59980.429
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + nitrate + silicate + phosphate_star 3.2777928 15414.10307 19.402363 1982-1999 –> 2000-2012 5.281421 21137.856
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate 3.2688539 15397.96373 18.817270 1982-1999 –> 2000-2012 5.221137 21051.572
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.2680939 15398.58961 18.835087 1982-1999 –> 2000-2012 5.214143 21045.557
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 3.2925855 15442.71486 21.518527 1982-1999 –> 2000-2012 5.286977 21155.983
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.3024537 15460.40126 17.482332 1982-1999 –> 2000-2012 5.279020 21149.412
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.2484181 15362.90043 19.209618 1982-1999 –> 2000-2012 5.174784 20982.399
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + phosphate + phosphate_star 3.4420404 15705.06748 20.267813 1982-1999 –> 2000-2012 5.252886 21157.471
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate 3.2890830 15434.42471 19.306171 1982-1999 –> 2000-2012 5.229573 21071.662
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.2766403 15414.02471 19.640254 1982-1999 –> 2000-2012 5.202993 21033.505
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 3.3287379 15507.25261 21.341069 1982-1999 –> 2000-2012 5.093755 20890.394
Indo-Pacific (27.75,27.85] cstar_tref ~ aou + silicate + phosphate + phosphate_star 2.9860564 8505.57537 9.510368 2000-2012 –> 2013-2019 6.315409 24011.919
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 2.6672586 8125.96537 11.194314 2000-2012 –> 2013-2019 5.959844 23568.680
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.8338394 8330.73002 9.864580 2000-2012 –> 2013-2019 6.082257 23693.630
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate 2.7088503 8178.26437 11.210873 2000-2012 –> 2013-2019 6.002751 23623.339
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 2.7171444 8188.59765 11.184475 2000-2012 –> 2013-2019 6.011952 23635.300
Indo-Pacific (27.75,27.85] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 2.7263828 8200.07026 11.209655 2000-2012 –> 2013-2019 6.021865 23647.983
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.9811241 8501.98776 9.341515 2000-2012 –> 2013-2019 6.257765 23916.012
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate 2.9888994 8508.79196 9.494715 2000-2012 –> 2013-2019 6.318432 24015.456
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 2.9718040 8491.40410 9.636344 2000-2012 –> 2013-2019 6.300542 23998.657
Indo-Pacific (27.75,27.85] cstar_tref ~ temp + aou + silicate + phosphate_star 2.9909679 8511.13030 9.495332 2000-2012 –> 2013-2019 6.321044 24018.757
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 3.0593525 17487.83283 12.955547 1982-1999 –> 2000-2012 4.988269 23540.693
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 3.0533578 17474.32292 14.203427 1982-1999 –> 2000-2012 4.982682 23527.797
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 3.0360614 17437.19337 13.379417 1982-1999 –> 2000-2012 4.839160 23295.768
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 3.0668049 17504.59117 13.856935 1982-1999 –> 2000-2012 4.957671 23499.474
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 3.0395644 17445.13616 13.025954 1982-1999 –> 2000-2012 4.902573 23398.828
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 3.0533553 17476.31727 14.209384 1982-1999 –> 2000-2012 4.871689 23359.378
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate 3.0787474 17529.36185 13.584281 1982-1999 –> 2000-2012 5.013006 23588.270
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 3.0532920 17474.17434 12.793241 1982-1999 –> 2000-2012 4.982994 23528.220
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 3.0684523 17508.29023 13.847192 1982-1999 –> 2000-2012 4.939377 23472.320
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 3.0413509 17449.18337 13.044377 1982-1999 –> 2000-2012 4.906840 23406.748
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate 2.9095741 9699.13866 10.453810 2000-2012 –> 2013-2019 5.978106 27205.608
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + phosphate_star 2.8182325 9576.86881 14.114717 2000-2012 –> 2013-2019 5.877585 27064.702
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate 2.9055253 9695.71339 10.316335 2000-2012 –> 2013-2019 5.958883 27170.036
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 2.7886795 9537.79815 14.427654 2000-2012 –> 2013-2019 5.824741 26974.992
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate 2.8505743 9621.32431 11.033629 2000-2012 –> 2013-2019 5.917379 27125.915
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 2.8149441 9574.32019 13.681860 2000-2012 –> 2013-2019 5.854509 27019.456
Indo-Pacific (27.85,27.95] cstar_tref ~ sal + temp + aou + nitrate + silicate 2.7915420 9541.79521 10.796600 2000-2012 –> 2013-2019 5.844897 27018.112
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + phosphate_star 2.9072685 9698.05020 12.351064 2000-2012 –> 2013-2019 5.960560 27172.225
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate 2.9202363 9715.38952 9.941307 2000-2012 –> 2013-2019 5.988689 27223.680
Indo-Pacific (27.85,27.95] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 2.8988892 9688.80496 12.013312 2000-2012 –> 2013-2019 5.940240 27137.988
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.7979451 16259.22163 7.950019 1982-1999 –> 2000-2012 3.650592 23544.219
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.7958857 16249.93843 7.442374 1982-1999 –> 2000-2012 3.737929 23703.269
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.7927134 16235.61803 7.845285 1982-1999 –> 2000-2012 3.754230 23724.588
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.7512909 16046.26293 7.332970 1982-1999 –> 2000-2012 3.613470 23349.593
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.8025718 16280.03901 7.473353 1982-1999 –> 2000-2012 3.758741 23759.256
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.8036181 16284.73906 7.486503 1982-1999 –> 2000-2012 3.762106 23768.189
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.8167617 16343.55274 7.368146 1982-1999 –> 2000-2012 3.757145 23793.828
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.8040630 16286.73707 7.486043 1982-1999 –> 2000-2012 3.762666 23770.397
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.8185503 16349.52339 7.313748 1982-1999 –> 2000-2012 3.777217 23831.298
Indo-Pacific (27.95,28.05] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.8059474 16295.19313 6.866175 1982-1999 –> 2000-2012 3.535328 23334.253
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5761495 8577.82973 5.588251 2000-2012 –> 2013-2019 3.374094 24837.051
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6215286 8707.54686 6.294804 2000-2012 –> 2013-2019 3.417414 24957.485
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + phosphate_star 1.6725196 8849.04270 7.899684 2000-2012 –> 2013-2019 3.465233 25084.661
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.5960254 8635.09897 6.937635 2000-2012 –> 2013-2019 3.347316 24681.362
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate 1.6331123 8738.07722 5.360739 2000-2012 –> 2013-2019 3.472873 25181.528
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6228838 8711.36461 6.252715 2000-2012 –> 2013-2019 3.425456 24991.404
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6230834 8711.92665 6.241095 2000-2012 –> 2013-2019 3.426702 24996.666
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6140405 8686.39396 5.927522 2000-2012 –> 2013-2019 3.430802 25029.947
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6230207 8711.75016 6.238239 2000-2012 –> 2013-2019 3.427084 24998.487
Indo-Pacific (27.95,28.05] cstar_tref ~ sal + temp + silicate + phosphate_star 1.6254533 8716.59455 6.526300 2000-2012 –> 2013-2019 3.444004 25066.118
Indo-Pacific (28.05,28.1] cstar_tref ~ aou + silicate + phosphate + phosphate_star 1.6535907 8783.49517 7.846475 1982-1999 –> 2000-2012 3.228804 12894.340
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.6054678 8650.70248 7.904193 1982-1999 –> 2000-2012 3.159533 12733.972
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.6292584 8717.83766 8.391547 1982-1999 –> 2000-2012 3.235683 12873.611
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.6087682 8660.07498 7.958969 1982-1999 –> 2000-2012 3.172690 12757.179
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.6094992 8662.14824 7.974441 1982-1999 –> 2000-2012 3.177208 12764.544
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.6122046 8669.81359 8.099393 1982-1999 –> 2000-2012 3.169227 12757.244
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.6092295 8661.38356 7.967659 1982-1999 –> 2000-2012 3.175856 12762.269
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.6320342 8723.60699 8.358144 1982-1999 –> 2000-2012 3.238822 12877.875
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.6620072 8808.66635 7.759767 1982-1999 –> 2000-2012 3.255411 12946.633
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.6028104 8643.14155 7.219924 1982-1999 –> 2000-2012 3.047713 12567.055
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2889843 4246.16651 5.528414 2000-2012 –> 2013-2019 2.894452 12896.869
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + nitrate + silicate 1.3001063 4267.90303 5.209903 2000-2012 –> 2013-2019 2.929365 12985.741
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2919752 4252.03023 5.487616 2000-2012 –> 2013-2019 2.900743 12912.105
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2928055 4253.65549 5.476348 2000-2012 –> 2013-2019 2.902305 12915.804
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate 1.3403966 4343.11728 4.910234 2000-2012 –> 2013-2019 3.027252 13217.514
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2920930 4252.26078 5.480072 2000-2012 –> 2013-2019 2.904298 12922.074
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate 1.3336899 4330.42666 4.921030 2000-2012 –> 2013-2019 3.002364 13155.364
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2925518 4253.15898 5.470752 2000-2012 –> 2013-2019 2.901781 12914.543
Indo-Pacific (28.05,28.1] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3124118 4289.73669 6.423508 2000-2012 –> 2013-2019 2.944446 13013.344
Indo-Pacific (28.05,28.1] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.2990799 4265.90481 6.330433 2000-2012 –> 2013-2019 2.901890 12909.046
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.5883790 89377.44101 9.764124 1982-1999 –> 2000-2012 3.234259 135527.267
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.5870553 89335.84628 10.091950 1982-1999 –> 2000-2012 3.005415 131903.578
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.5452533 88070.17079 9.559326 1982-1999 –> 2000-2012 2.860294 128819.863
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.5453948 88074.51906 9.560411 1982-1999 –> 2000-2012 2.859647 128809.776
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.5455424 88079.05559 9.561399 1982-1999 –> 2000-2012 2.858799 128796.081
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.5520468 88278.50550 9.284799 1982-1999 –> 2000-2012 2.879612 129256.298
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.5455317 88078.72430 9.561647 1982-1999 –> 2000-2012 2.858834 128796.576
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.5521717 88280.32668 9.227698 1982-1999 –> 2000-2012 2.881430 129286.785
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4897653 86333.42210 7.449664 1982-1999 –> 2000-2012 2.807141 127125.801
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.5821608 89191.15380 9.465350 1982-1999 –> 2000-2012 3.037473 132379.803
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + nitrate + silicate + phosphate_star 1.4566894 53350.15589 8.582160 2000-2012 –> 2013-2019 3.045068 142727.597
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate 1.3340214 50734.44052 8.574277 2000-2012 –> 2013-2019 2.921077 140070.287
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + aou + silicate + phosphate + phosphate_star 1.2823780 49563.35584 9.399217 2000-2012 –> 2013-2019 2.827631 137633.527
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate 1.2827083 49571.00823 9.399716 2000-2012 –> 2013-2019 2.828103 137645.527
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + aou + silicate + phosphate_star 1.2831518 49581.28031 9.402950 2000-2012 –> 2013-2019 2.828694 137660.336
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + nitrate + silicate + phosphate_star 1.2944973 49842.83611 9.627523 2000-2012 –> 2013-2019 2.846544 138121.342
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate + phosphate_star 1.2831079 49580.26238 9.401875 2000-2012 –> 2013-2019 2.828639 137658.987
Indo-Pacific (28.1, Inf] cstar_tref ~ sal + temp + silicate + phosphate_star 1.3096745 50187.16343 10.252649 2000-2012 –> 2013-2019 2.861846 138467.490
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + nitrate + silicate + phosphate_star 1.4089410 52359.91506 11.658949 2000-2012 –> 2013-2019 2.898706 138693.337
Indo-Pacific (28.1, Inf] cstar_tref ~ temp + aou + silicate + phosphate + phosphate_star 1.3358879 50777.98278 9.853581 2000-2012 –> 2013-2019 2.918049 139969.137

5.3 Target variable coefficients

A data frame to map the target variable is prepared.

# create table with two era belonging to one eras
eras_forward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(era, lead(era), sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_backward <- lm_all_fitted_wide %>%
  arrange(era) %>% 
  group_by(basin, gamma_slab, model) %>% 
  mutate(eras = paste(lag(era), era, sep = " --> ")) %>% 
  ungroup() %>% 
  select(era, eras) %>% 
  unique()

eras_era <- full_join(eras_backward, eras_forward) %>% 
  filter(str_detect(eras, "NA") == FALSE)

# extend best model selection from eras to era
lm_best_target <- full_join(
  lm_best %>% select(basin, gamma_slab, model, eras),
  eras_era)

lm_best_target <- left_join(lm_best_target, lm_all_fitted_wide)

rm(eras_era, eras_forward, eras_backward,
   lm_all_fitted)

5.4 Plot selected model residuals

# plot model diagnostics, if activated
if (params_local$plot_all_figures == "y") {
  # mutate predictors column
  lm_best_plot <- lm_best_target %>%
    select(basin, gamma_slab, model, eras, era) %>%
    mutate(
      predictors = str_remove(model, paste(params_local$MLR_target, "~ ")),
      predictors = str_replace_all(predictors, "\\+ ", "")
    )
  
  # loop across all basins, era, gamma slabs, and MLRs
  # fit all MLR models
  for (i_basin in unique(GLODAP$basin)) {
    for (i_era in unique(GLODAP$era)) {
      #i_basin <- unique(GLODAP$basin)[1]
      #i_era   <- unique(GLODAP$era)[2]
      print(i_basin)
      print(i_era)
      
      GLODAP_basin_era <- GLODAP %>%
        filter(basin == i_basin, era == i_era)
      
      for (i_gamma_slab in unique(GLODAP_basin_era$gamma_slab)) {
        #i_gamma_slab <- unique(GLODAP_basin_era$gamma_slab)[1]
        print(i_gamma_slab)
        
        GLODAP_basin_era_slab <- GLODAP_basin_era %>%
          filter(gamma_slab == i_gamma_slab)
        
        lm_best_basin_era_slab <- lm_best_plot %>%
          filter(basin == i_basin, era == i_era, gamma_slab == i_gamma_slab)
        
        for (i_eras in unique(lm_best_basin_era_slab$eras)) {
          #i_eras <- unique(lm_best_basin_era_slab$eras)[1]
          print(i_eras)
          
          lm_best_basin_era_slab_eras <- lm_best_basin_era_slab %>%
            filter(eras == i_eras)
          
          for (i_predictors in unique(lm_best_basin_era_slab_eras$predictors)) {
            #i_predictors <- unique(lm_best_basin_era_slab$predictors)[1]
            print(i_predictors)
            # extract one model definition
            i_lm <- lm_all %>%
              filter(predictors == i_predictors) %>%
              select(lm_coeff) %>%
              pull()
            
            # fit model
            i_lm_fit <- lm(as.formula(i_lm),
                           data = GLODAP_basin_era_slab)
            
            p_model <- ggnostic(
              i_lm_fit,
              columnsY = c(params_local$MLR_target, ".fitted", ".resid"),
              title = paste(
                "era:",
                i_era,
                "| eras:",
                i_eras,
                "| basin:",
                i_basin,
                "| gamma slab:",
                i_gamma_slab,
                "| predictors:",
                i_predictors
              )
            )
            
            ggsave(
              plot = p_model,
              path = paste(path_version_figures, "eMLR_diagnostics/", sep = ""),
              filename = paste(
                "MLR_residuals",
                i_era,
                i_eras,
                i_basin,
                i_gamma_slab,
                i_predictors,
                "predictors.png",
                sep = "_"
              ),
              width = 14,
              height = 8
            )

            rm(p_model)
            
          }
          
        }
        
      }
    }
  }
  
  rm(
    lm_best_plot,
    lm_best_basin_era_slab,
    i_rmse,
    GLODAP_basin_era,
    GLODAP_basin_era_slab,
    i_lm,
    lm_all_fitted,
    i_basin,
    i_era,
    i_gamma_slab,
    i_predictors,
    lm_all,
    i_aic,
    i_n_predictors,
    i_resid_max
  )
  
}

Individual residual plots of the MLR models for each basin, era, eras and neutral density (gamma) slab are available at:

/nfs/kryo/work/jenmueller/emlr_cant/model/v_XXX/figures/eMLR_diagnostics/

5.5 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)

5.6 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
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.1.2 Best models

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

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19

6.2 RMSE correlation between eras

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

6.2.1 All models

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

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

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.2.2 Best models

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

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

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
rm(max_rmse)

6.3 Predictor counts

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

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

# print table
lm_all_stats %>%
  gt(rowname_col = "gamma_slab",
     groupname_col = c("basin", "eras")) %>% 
  summary_rows(
    groups = TRUE,
    fns = list(total = "sum")
  )
aou nitrate phosphate phosphate_star sal silicate temp
Atlantic - 1982-1999 --> 2000-2012
(-Inf,26] 5 5 3 5 10 8 10
(26,26.5] 9 3 5 8 5 8 9
(26.5,26.75] 8 1 7 7 5 10 8
(26.75,27] 9 3 6 9 7 6 8
(27,27.25] 10 2 7 6 9 5 6
(27.25,27.5] 7 2 7 7 10 6 8
(27.5,27.75] 7 2 7 8 10 5 8
(27.75,27.85] 8 1 8 9 7 7 7
(27.85,27.95] 8 2 7 9 7 7 8
(27.95,28.05] 8 4 5 9 8 6 8
(28.05,28.1] 9 1 8 8 7 6 8
(28.1,28.15] 9 1 8 8 5 8 8
(28.15,28.2] 10 8 2 7 6 5 8
(28.2, Inf] 9 10 0 5 8 6 6
total 116.00 45.00 80.00 105.00 104.00 93.00 110.00
Atlantic - 2000-2012 --> 2013-2019
(-Inf,26] 7 5 3 7 9 8 9
(26,26.5] 9 3 6 8 5 8 8
(26.5,26.75] 8 3 5 9 5 8 9
(26.75,27] 8 4 5 8 8 9 7
(27,27.25] 7 4 4 6 8 10 8
(27.25,27.5] 6 3 5 8 7 10 8
(27.5,27.75] 8 2 7 7 10 6 7
(27.75,27.85] 10 3 7 8 4 6 8
(27.85,27.95] 8 3 6 9 7 7 9
(27.95,28.05] 9 3 6 9 7 6 8
(28.05,28.1] 9 2 8 8 7 5 8
(28.1,28.15] 9 1 8 9 6 7 7
(28.15,28.2] 9 7 3 7 6 6 9
(28.2, Inf] 10 10 0 5 7 6 5
total 117.00 53.00 73.00 108.00 96.00 102.00 110.00
Indo-Pacific - 1982-1999 --> 2000-2012
(-Inf,26] 5 3 4 9 10 5 10
(26,26.5] 7 1 7 8 9 7 8
(26.5,26.75] 7 1 7 9 8 8 7
(26.75,27] 8 5 5 10 6 4 8
(27,27.25] 6 6 3 9 6 7 10
(27.25,27.5] 8 2 6 8 8 10 5
(27.5,27.75] 5 3 5 8 10 10 5
(27.75,27.85] 10 7 3 7 6 8 6
(27.85,27.95] 10 10 0 5 6 5 7
(27.95,28.05] 7 4 4 8 9 9 8
(28.05,28.1] 7 3 5 8 7 10 8
(28.1, Inf] 7 3 5 8 8 10 7
total 87.00 48.00 54.00 97.00 93.00 93.00 89.00
Indo-Pacific - 2000-2012 --> 2013-2019
(-Inf,26] 6 5 3 7 10 6 10
(26,26.5] 8 2 6 8 5 10 8
(26.5,26.75] 7 2 6 8 6 10 8
(26.75,27] 9 1 8 8 8 5 8
(27,27.25] 7 1 7 8 6 10 7
(27.25,27.5] 8 2 6 8 8 10 5
(27.5,27.75] 7 2 5 6 10 10 6
(27.75,27.85] 9 2 6 7 5 10 8
(27.85,27.95] 10 10 0 5 7 5 6
(27.95,28.05] 7 4 3 7 10 9 8
(28.05,28.1] 5 3 5 6 9 10 9
(28.1, Inf] 7 3 5 8 8 10 7
total 90.00 37.00 60.00 86.00 92.00 105.00 90.00

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
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 
lm_best %>% 
  ggplot(aes(rmse, aic, col = gamma_slab)) +
  geom_point() +
  scale_color_viridis_d() +
  facet_grid(eras~basin)

Version Author Date
59e006e Donghe-Zhu 2021-01-31
a1c8f87 Donghe-Zhu 2021-01-31
ae5c18f Donghe-Zhu 2021-01-31
b50fe52 Donghe-Zhu 2021-01-31
ac99ae5 jens-daniel-mueller 2021-01-29
b5bdcaf Donghe-Zhu 2021-01-29
442010d Donghe-Zhu 2021-01-29
372adf5 Donghe-Zhu 2021-01-29
af8788e Donghe-Zhu 2021-01-29
21c91c9 Donghe-Zhu 2021-01-29
eded038 Donghe-Zhu 2021-01-29
541d4dd Donghe-Zhu 2021-01-29
6a75576 Donghe-Zhu 2021-01-28
16fba40 Donghe-Zhu 2021-01-28
12bc567 Donghe-Zhu 2021-01-27
ceed31b Donghe-Zhu 2021-01-27
342402d Donghe-Zhu 2021-01-27
5bad5c2 Donghe-Zhu 2021-01-27
61efb56 Donghe-Zhu 2021-01-25
48f638e Donghe-Zhu 2021-01-25
c1cec47 Donghe-Zhu 2021-01-25
05ffb0c Donghe-Zhu 2021-01-25
8b97165 Donghe-Zhu 2021-01-25
c569946 Donghe-Zhu 2021-01-24
a2f0d56 Donghe-Zhu 2021-01-23
28509fc Donghe-Zhu 2021-01-23
4c28e4a Donghe-Zhu 2021-01-22
24cc264 jens-daniel-mueller 2021-01-22
7891955 Donghe-Zhu 2021-01-21
d4cf1cb Donghe-Zhu 2021-01-21
1f3e5b6 jens-daniel-mueller 2021-01-20
0e7bdf1 jens-daniel-mueller 2021-01-15
4571843 jens-daniel-mueller 2021-01-14
b3564aa jens-daniel-mueller 2021-01-14
8d032c3 jens-daniel-mueller 2021-01-14
17dee1d jens-daniel-mueller 2021-01-13
7cdea0c jens-daniel-mueller 2021-01-06
fa85b93 jens-daniel-mueller 2021-01-06
e5cb81a Donghe-Zhu 2021-01-05
a499f10 Donghe-Zhu 2021-01-05
fb8a752 Donghe-Zhu 2020-12-23
8fae0b2 Donghe-Zhu 2020-12-21
c8b76b3 jens-daniel-mueller 2020-12-19 

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